Answer:
8.3 miles
Step-by-step explanation:
1 2/3 times 5= 8.3. He rode 8.3 miles
What is the distance between (- 6 8 and (- 3 9?
9.055 units is the required distance between the two given points (-6, 8) and (-3,9).
What is the distance?Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively.
Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.
The length of the line segment bridging two points on a plane is known as the distance between the points.
d=((x2 - x1)2 + (y2 - y1)2) is a common formula to calculate the distance between two points.
So, the distance formula is as follows:
d=√((x2 – x1)² + (y2 – y1)²)
We have the points: (-6, 8) and (-3,9)
Insert values and calculate as follows:
d=√((x2 – x1)² + (y2 – y1)²)
d=√((-3 - (-6))² + (9 - 8)²)
d=9.055
Therefore, 9.055 units are the required distance between the two given points (-6, 8) and (-3,9).
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Which expression best describes ‘the difference of 7 and x
Answer: -7 times x
Step-by-step explanation:
Please answer fast I need help
The correct answer is C. Isosceles; since a rhombus always has 4 equal sides, each triangle must have 2 equal sides.
When a diagonal is drawn in a rhombus, it splits the rhombus into two congruent triangles. Since the diagonal bisects the rhombus, the two triangles are mirror images of each other.
In a rhombus, opposite sides are parallel and equal in length, which means that the two sides of the triangle that are formed by the diagonal are congruent. Therefore, each triangle is isosceles.
A rhombus is a quadrilateral with four equal sides, so we know that the triangles have two equal sides, but we cannot say anything about the other sides and angles, so we cannot say that it is acute, equilateral or obtuse.
Answer:
The correct answer is C. Isosceles; since a rhombus always has 4 equal sides, each triangle must have 2 equal sides.
A rhombus is a quadrilateral with all four sides equal in length. When a diagonal is drawn in a rhombus, it forms two congruent triangles. Since the rhombus has four equal sides, each triangle will have two equal sides. In other words, the two triangles are isosceles triangles.
Option A is incorrect, because a rhombus does not always have 2 acute angles. A rhombus can have acute, right or obtuse angles, and the angles of the rhombus are not related with the triangles formed by drawing a diagonal.
Option B is incorrect, because a rhombus does not always have 4 equal angles. A rhombus can have acute, right or obtuse angles, and the angles of the rhombus are not related with the triangles formed by drawing a diagonal.
Option D is incorrect, because a rhombus does not always have 2 obtuse angles. A rhombus can have acute, right or obtuse angles, and the angles of the rhombus are not related with the triangles formed by drawing a diagonal.
Melanie bought two different pieces of wire to make different types of jewelry. She bought a 16-gauge piece of wire and cut it into six 16.5-inch pieces. She also bought a 22-gauge piece of wire and cut it into eight 9.6-inch pieces. What is the difference in the total lengths of the two wires that Melanie bought?
Answer:
The length of the 16-gauge wire is 16.5 inches * 6 pieces = 99 inches.
The length of the 22-gauge wire is 9.6 inches * 8 pieces = 76.8 inches.
The difference in the total lengths is 99 inches - 76.8 inches = 22.2 inches.
Step-by-step explanation:
which of the following can be a form of solution of 3x+0y+7=0 in two variables? i)-7/3,m ii) m,-7/3 iii) -7/3,0
If y=x+7 will be the value of the function that crosses the y-axis at position (0, 7).nThe replacement approach refers to determining any variable's value from one equation in terms of another variable. The correct answer is c. -7/3,0
Considering that, the point where the function crosses = (0, 7) Considering that the function's intersection point is now = (0, 7).As a result, the point must fulfil the function.
We have to check whether these pairs satisfy equation 3x+0y+7=0 or not.
So, we will put these pairs one by one.
A) (-7/3,m) x=-7/3 & y=m
Than
3×(-7/3)+0×m+7=0
-7+0+7=0
0=0 so, it satisfies.
B) (m, -7/3) x=m & y=-7/3
Than
3×m+0×-7/3+7=0
3m+0+7=0
3m+7 =0 so, it does not satisfies.
D) (-7/3,0) x=-7/3 & y= 0
Than
3x(-7/3)+0×0+7= 0
-7+7= 0
0=0 so, it satisfies.
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The cost of soup, s, varies directly with the number of cans, c. When c is 4, the cost is $3. Which graph represents the
cost of the soup?
O
286
9
7
6-
5-
of s
10
1234567 89
This indicates that the cost of the soup varies directly with the number of cans
How to plot the points on graph?
To plot points on a graph, you need to have an ordered pair of coordinates that represent the point. An ordered pair is written as (x,y), where x is the value on the x-axis and y is the value on the y-axis.
To plot a point on the graph:
Locate the x-value on the horizontal (x) axis and the y-value on the vertical (y) axis.Draw a dot on the graph at the point where the x and y values intersect.The graph that represents the cost of the soup is the one with a straight line passing through the point (4,3). This indicates that the cost of the soup varies directly with the number of cans, and when there are 4 cans, the cost is $3.
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form
y/x = k or y = kx
In this problem
Let
x--------> the number of cans
y-------> the cost of a soup
so,
when
x = 4 cans
y = $3
substitute
y / x = k
3 / 4 = k
The equation is
y = 3 / 4 x
using a graph tool
see the attached figure
the answer in the attached figure
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David is going to invest $3,900 and leave it in an account for 10 years. Assuming the interest is compounded daily, what interest rate, to the nearest tenth of a percent, would be required in order for David to end up with $6,200?
David needs an interest rate of 4.363% to make a profit of $6,200, which is calculated to be the closest tenth of a percent.
What is compound interest?The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, which is the formula for compound interest.
Given, David is going to invest $3,900 and leave it in an account for 10 years. Assuming the interest is compounded daily,
Compound interest formula for daily compounding
A = P(1+r/365)^(365t)
Where:
A = the future value of the investment
P = the principal investment amount
r = the annual interest rate (decimal)
t = the number of years the money is invested for
6200 = 3900((1+r/365)^(365*10)
1.58 = (1+r/365)^(365*10)
r = 4.636
therefore, an interest rate, to the nearest tenth of a percent, would be required in order for David to end up with $6,200 will be 4.363%.
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Find the exact length of the midsegment of the trapezoid with the vertices A(2,0), B(8, – 4), C(12, 2), D(0, 10).
For the given trapezoid with vertices A(2,0), B(8, – 4), C(12, 2), D(0, 10) the exact length of the midsegment is equal to 3√13 units.
As given in the question,
In the given trapezoid ,
Vertices of the trapezoid is given by :
A(2,0), B(8, – 4), C(12, 2), D(0, 10)
Slope of the AB
= (-4 -0)/(8 - 2 )
= -2/3
Slope of the CD
= (10 -2)/(0 - 12 )
= -2/3
Slope of AB = Slope of CD
AB is parallel to CD
Length of AB
= √( -4 -0)² + ( 8 -2)²
= √16 + 36
= 2√13
Length of CD
= √( 10 -2)² + ( 0 -12 )²
=√ 64 + 144
= 4√13
Exact length of the midsegment
= Length of ( AB + CD ) / 2
= ( 2 + 4 )√13 / 2
= 3√13 units.
Therefore, the exact length of the midsegment of the given trapezoid is equal to 3√13 units.
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Answer the questions below Alex loves golf. He has kept track of his last 10 shots for 4 different clubs. He wrote down the distance in yards he hit each of the clubs in the table below. Pitching Wedge 7 Iron 3 Iron Driver 1 2 3 4 5 132 143 137 24 134 164 161 237 168 163 198 204 193 198 199 298 293 315 307 322 a) Calculate the mean distance for the four clubs Alex used? Pitching Wedge Mean b) Calculate the median distance for the four clubs Alex used? c) Calculate the mode of each club. 6 136 164 209 299 Mode Median Pitching Wedge Pitching Wedge 7 Iron 3 Iron 7 8 9 132 130 133 168 164 158 42 201 198 303 314 52 7 Iron 3 Iron 604301 7 Iron Driver 3 Iron d) Look for some outliers in the data. What could have caused these outliers? 10 132 153 198 311 Driver Driver e) To calculate the average distance of all four clubs combined, find the mean of the medians for each club.
a) The mean distance for the four clubs Alex used, Pitching Wedge Mean is 133.5
b) The median distance for the four clubs Alex used are:
Pitching Wedge Median: 136
7 Iron Median: 164
3 Iron Median: 298
Driver Median: 42
c) The mode of each club. 6 136 164 209 299 Mode Median are:
Pitching Wedge Mode: N/A (no value is repeated)
7 Iron Mode: N/A (no value is repeated)
3 Iron Mode: N/A (no value is repeated)
Driver Mode: N/A (no value is repeated)
How did we determine the values above?a) Calculate the mean distance for the four clubs Alex used?
Pitching Wedge Mean: (132 + 143 + 137 + 24 + 134 + 136 + 132 + 130 + 133 + 132) / 10 = 133.5
7 Iron Mean: (164 + 161 + 237 + 168 + 164 + 164 + 158 + 201 + 198 + 153) / 10 = 176.5
3 Iron Mean: (198 + 199 + 298 + 293 + 315 + 307 + 322 + 42 + 303 + 314) / 10 = 250.5
Driver Mean: (199 + 604 + 301 + 7 + 604 + 301 + 7 + 42 + 52 + 311) / 10 = 243.2
b) Calculate the median distance for the four clubs Alex used?
Pitching Wedge Median: 136
7 Iron Median: 164
3 Iron Median: 298
Driver Median: 42
c) Calculate the mode of each club.
Pitching Wedge Mode: N/A (no value is repeated)
7 Iron Mode: N/A (no value is repeated)
3 Iron Mode: N/A (no value is repeated)
Driver Mode: N/A (no value is repeated)
d) Look for some outliers in the data. What could have caused these outliers?
Pitching Wedge: 24 yards (could be caused by a poor shot or a mistake in recording)
7 Iron: 237 yards (could be caused by a particularly good shot or a tailwind)
3 Iron: 604 and 301 yards (could be caused by a data entry error)
Driver: 604 and 301 yards (could be caused by a data entry error)
e) To calculate the average distance of all four clubs combined, find the mean of the medians for each club.
(136 + 164 + 298 + 42) / 4 = 165.25
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Tamela compared the rates of three cable companies.
TV Watchers—$30.80 for 70 channels
Tel-EVision—$46.40 for 145 channels
Channels Galore—$40.80 for 120 channels
Which cable company has the best rate of price per channel?
Answer:
round 3.62to the nearest kilogram
Step-by-step explanation:
if the radius of a balloon is increasing at a constant rate of 0.03 in/min, how fast is the volume of the balloon changing at the time when its radius is 5 inches?
9.4248 cu in/min volume of the balloon changing at the time when its radius is 5 inches
To solve this, you need to know how to find a derivative and use two equations.
The formula for a sphere's volume in terms of radius and chain rule is represented by the two equations. It will be useful to use the formula dV/dt = dV/dR x dR/dt.
V = (4/3)(Pi)r^3 ; dV/dr = 4(Pi)r^2 ;
dV/dt = ( dV/dr)(dr/dt)
DV/dr = 4(3.1416)(5)(5) = 314.16 ;
dr/dt = 0.03 in/min
DV/dt = ( 314.16 in sq)( 0.03 in/min) = 9.4248 cu in/min
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please hurry!! Solve x² - 2x - 2 = 0
O no solutions
0 x = -2
Ox=2+2√3
O x=1+i
Answer:
Step-by-step explanation:
Solve for x over the real numbers:
x^2 - 2 x - 2 = 0
Add 2 to both sides:
x^2 - 2 x = 2
Add 1 to both sides:
x^2 - 2 x + 1 = 3
Write the left hand side as a square:
(x - 1)^2 = 3
Take the square root of both sides:
x - 1 = sqrt(3) or x - 1 = -sqrt(3)
Add 1 to both sides:
x = 1 + sqrt(3) or x - 1 = -sqrt(3)
Add 1 to both sides:
Answer: x = 1 + sqrt(3) or x = 1 - sqrt(3)
A quadrilateral has two angles that measure 303° and 6°. The other two angles are in a ratio of 8:9. What are the measures of those two angles?
Answer: 24 and 27 degrees
Step-by-step explanation:
The 2 other angles add up to 360 - 303 - 6 = 51
51/(8+9) = 51/17 = 3
The 2 angles are 3*8 and 3*9, which are 24 degrees and 27 degrees
Question 4(Multiple Choice Worth 1 points)
(03.01 MC)
Rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents.
√√8
√
58
Therefore , the solution of the given problem of equation comes out to be value of this equation is best describe by option C.
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter.
Here,
Given :
we have equations as -
=> [tex]7^{1/3}[/tex] = ³√7
From option C
=> 7 = [tex]^{1/3}[/tex]* ³√7
=> 7 = ¹7
=> 7 = 7
so the value of this equation is best describe by option C.
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find $\displaystyle{ \frac{2}{1 2\sqrt{3}} \frac{3}{2 - \sqrt{3}}}$, and write your answer in the form $\displaystyle \frac{a b\sqrt{3}}{c}$, with the fraction in lowest terms and $a > 0$. what is $a b c$?
The value of A, B, and C is 64,37,11 respectively. So A+B+C= 112
[tex]\frac{2}{1+\sqrt[2]{3} }[/tex] +[tex]\frac{3}{2-\sqrt{3} }[/tex]
This can be further simplified as follow
[ 2 × (2 - √3) + 3 ( 1 + 2√3) ] / [ ( 1 + 2 √3) ( 2 - √3) ] ( taking LCM)
[ 4 - 2√3+ 3 + 6√3 ] / [ 2 + 4√3 - √3 - 6 ] ( by multiplication and addition)
[ 7 + 4√3 ] / [ 3√3 - 4]
[ 7 + 4√3 ] × [ 3√3 + 4] / [ ( 3√3 - 4) (3√3 + 4 ) ] (multiplication and division by 3√3 +4)
[ 21√3 + 36 + 28 + 16√3] / [ 27 - 16 ] ( normal addition)
[ 64 + 37√3] / 11
So..... A = 64, B = 37 , C = 11
So the value of A+B+C will be
A + B + C = 112 (normal addition)
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please help mee please
Answer:
x = 32
Step-by-step explanation:
The two angles form a straight line so they add to 180
The angles are colinear angles.
3x-4 + 3x-8 = 180
Combine like terms
6x -12 =180
Add 12 to each side
6x-12+12 =180+12
6x = 192
Divide each side by 6
6x/6 = 192/6
x = 32
Answer:
32°
Step-by-step explanation:
We know the measure of a straight line is 180° . And therefore the measure of the given two co linear angles would be 180° . So ,
[tex]\implies \rm 3x-4 +3x -8=180\\ [/tex]
[tex]\implies \rm 6x -12 =180\\ [/tex]
[tex]\implies \rm 6x = 180+12 = 192\\ [/tex]
[tex]\implies \rm x =\frac{192}{6}= 32^o[/tex]
And we are done!
Which expressions can be used to find m∠BAC? Check all that apply. Cos−1 cos−1 sin−1 sin−1 tan−1 tan−1
The expressions that can be used to find the measure of angle BAC in triangle ABC are [tex]Cos^{-1} (\frac{6.9}{12} )[/tex] , [tex]Sin^{-1} (\frac{9.8}{12} )[/tex] and [tex]Tan^{-1} (\frac{9.8}{6.9} )[/tex] .
The trigonometric ratios involving the angle BAC (∠A) can be written as follows :
In triangle ABC ,
(i) Sine of A = [tex]\frac{BC}{AB}[/tex] ,
Substituting the value of BC and AB ,
we get ;
[tex]SinA = \frac{9.8}{12}[/tex] ;
⇒ [tex]\angle A = Sin^{-1} (\frac{9.8}{12} )[/tex] ;
(ii) Cos of A = [tex]\frac{AC}{AB}[/tex]
Substituting the value of AC and AB ,
we get ;
[tex]CosA = \frac{6.9}{12}[/tex]
⇒ [tex]\angle A = Cos^{-1} (\frac{6.9}{12} )[/tex] ;
(iii) Tan of A = [tex]\frac{BC}{AC}[/tex]
Substituting the value of BC and AC ,
we get ;
[tex]TanA = \frac{9.8}{6.9}[/tex]
⇒ [tex]\angle A = Tan^{-1} (\frac{9.8}{6.9} )[/tex] ;
Therefore , the only options that satisfy the triangle ABC are [tex]Cos^{-1} (\frac{6.9}{12} )[/tex] , [tex]Sin^{-1} (\frac{9.8}{12} )[/tex] and [tex]Tan^{-1} (\frac{9.8}{6.9} )[/tex] .
The given question is incomplete , the complete question is
Which expressions can be used to find m∠BAC in the triangle ABC ? Check all that apply.
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A mouse has made holes in opposite corners of a rectangular kitchen. The width of the kitchen is 3 meters and the distance between the mouse's holes is 5 meters. What is the length of the kitchen?
The length of the kitchen given the width and distance between the mouse's holes is 4 meters.
What is the length of the kitchen?The width of the kitchen and the two holes in opposite corners of the rectangular kitchen forms a right angle triangle.
The two holes in opposite corners of the kitchen is therefore the hypotenuse.
Distance between the mouse's holes = 5 meters
Width of the kitchen = 3 meters
Hypotenuse² = opposite² + adjacent²
5² = 3² + x²
25 = 9 + x²
25 - 9 = x²
16 = x²
find the square root of both sides
x = √16
x = 4 meters
Therefore, the length of the kitchen is 4 meters.
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The relationship between attending your classes and passing your classes would best be described as:
Causal
Correlation
Spurious Correlation
No relationship
It will be best defined as a spurious correlation rather a casual correlation.
What is a spurious correlation?
A spurious correlation occurs when two variables are correlated but don’t have a causal relationship. In other words, it appears like values of one variable cause changes in the other variable, but that’s not actually happening.
If you look up the definition of spurious, you’ll see explanations about something being fake or having a deceitful nature. It has the outward appearance of genuineness, but it’s an imitation. With this definition in mind, spurious correlations look like causal relationships in both their statistical measures and in graphs, but it’s not real.
For example, ice cream sales and shark attacks correlate positively at a beach. As ice cream sales increase, there are more shark attacks. However, common sense tells us that ice cream sales do not cause shark attacks. Hence, it’s a spurious correlation.
Now,
As attending classes is not related to passing the class because one can pass an examination without attending classes.
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Help me. Choose IS & IS NOT
Answer:
Yes
Step-by-step explanation:
6(5)+3(-6)=12
30-18=12
12=12
4(5)+(-6)=14
20-6=14
14=14
If you were given sticks of the following lengths, how many triangles can you make?
6 inches, 9 inches, 4 inches.
I know you can make a triangle but would it be infinite triangles or just one?
12
11
10
9
8
7
6
5
4
3
2
1
A(4,2)
B(9, 10)
1 2 3 4 5 6 7 8 9 10 11 12
OA. 13 units
OB. About 3.6 units
C. 89 units
OD. About 9.4 units
Answer:
D
Step-by-step explanation:
calculate the length of AB using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A (4, 2 ) and (x₂, y₂ ) = B (9, 10 )
AB = [tex]\sqrt{(9-4)^2+(10-2)^2}[/tex]
= [tex]\sqrt{5^2+8^2}[/tex]
= [tex]\sqrt{25+64}[/tex]
= [tex]\sqrt{89}[/tex]
≈ 9.4 ( to 1 decimal place )
Need help with this math work
Answer:
Step-by-step explanation:
edit back ur post and put the picture in for help
Which expression is equivalent to
6
(√²) "?
Please help!! circular flower bed is 20 m in diameter and has a circular sidewalk around it that is 2 m wide. Find the area of the sidewalk in square meters.
The area of the sidewalk is 144π square meters.
Describe area of a circle?The area of a circle is a measure of the amount of space inside the circle. It is defined as the product of Pi (π) and the square of the radius of the circle.
A = π × r²
The radius is the distance from the center of the circle to its edge. The area of a circle is a scalar quantity and is typically expressed in square units, such as square centimeters or square meters.
The diameter of the circular flower bed is 20 m, so its radius is 20/2 = 10 m.
The sidewalk around the flower bed is 2 m wide, so the radius of the circular sidewalk is 10 + 2 = 12 m.
The area of a circle can be found using the formula:
A = πr^2
So the area of the circular sidewalk is:
A = π × 12²= π × 144 = 144π m²
Therefore, the area of the sidewalk is 144π square meters.
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if a quiz had 7 questions, and you correctly answered 6 of 7 questions on the quiz correctly, and the quiz earns you 20 points toward the course grade, how many points will be added to your course cumulative score as a result of taking this quiz? show work.
17.14 points will be added to your course cumulative score as a result of taking the quiz.
To determine how many points will be added to your course cumulative score as a result of taking the quiz, we first need to calculate your percentage of correct answers on the quiz. You correctly answered 6 out of 7 questions, so your percentage of correct answers is:
(6/7) of 100 = 85.71%
We know that the quiz earns 20 points toward the course grade, so we can use the percentage of correct answers to determine how many of those 20 points will be added to your course cumulative score:
85.71% of 20 points = 17.14 points
So, 17.14 points will be added to your course cumulative score as a result of taking the quiz.
Note that this is based on the assumption that the quiz is worth 20 points, and that the student got 85.71% of the questions correct, and that the quiz is worth a certain percentage of the total course grade. If the quiz was worth a different amount of points or if the percentage of correct answers was different, the number of points added to the course cumulative score would also be different.
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A plant measures x inches this week, and had grown 8 times as the height from last week.
The requried measure of the height of the plant this week is y = 9x.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
A plant measures x inches this week and had grown 8 times as the height from last week.
The height of the plant after a week is y,
According to the quesiton,
y = x + 8x
y = 9x
Thus, the requried measure of the height of the plant this week is y = 9x.
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35
S
W
42
42
T
D
30
30
A
E
25
Is it similar SSS, AA, SAS
Answer:
Step-by-step explanation:
BASICS TO SSS, SAS, ASA, AAS RULES:
SSS stands for “side, side, side” and means that we have two triangles with all three sides equal.
SAS stands for “side, angle, side” and means that we have two triangles where we know two sides and the included angle are equal.
Two forces of 58 newtons and 32 newtons act simultaneously on an
object. The angle between the two forces is 22°. Find the magnitude of
the resultant, to the nearest 10th of a newton. Find the measure of the
angle between the resultant and the smaller force, to the nearest 10th
of a degree.
Answer: 678900 to the 10 power
Step-by-step explanation:
Given that Justin is collecting data on reaction time, what type of data is he working with?
Select the correct answer below:
A. qualitative
B. discrete quantitative
C. continuous quantitative
D. none of the above
Since reaction time is measured and not constrained to a specific range of numbers, it is continuous quantitative data.
'What is continuous quantitative?'
A continuous data set is a quantitative data set that represents a scale of measurement that includes fractions and decimals in addition to whole integers. Values like height, weight, length, temperature, and other similar metrics would be included in continuous data sets. They are items that can be quantified in decimals and fractions. A continuous data set typically requires the use of a tool, such as a ruler, measuring tape, scale, or thermometer, to create the numbers.
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