Answer:
B IS THE MID POINT
Step-by-step explanation:
If b lies between AC iy means b is de half
therefore a+b+c=ABC which is the straight line
[tex]\frac{63,756×60}{70×5,280}[/tex]
Answer:
[tex]1035[/tex]
Step-by-step explanation:
(63756×60)/(70×5280)
=1035
Maggie drew lines of best fit for two scatter plots, as shown. Which statement best describes the placement of the lines Maggie drew?
Answer:
B. Only line B is a well-placed line of best fit.
Step-by-step explanation:
A good line of best fit is a line drawn to represent, as much as possible, all data points. As long as the data points are clustered along the line, and are not farther from each other, the line is a best fit for such data points.
Therefore, from the two lines drawn by Maggie, Line B seems to be the only well-placed line of best fit, as virtually all the data points are clustered along the line, compared to Line A. Line A only runs across 2 data points. The rest data points are scattered far apart from the line.
Therefore, the statement that best describes the placement of the line of best fit drawn by Maggie is: "B. Only line B is a well-placed line of best fit."
Answer:
Only line B
Step-by-step explanation:
Line A is too low on the graph to be best fit for the plot
Solve. 2x−y+3z=6 2x+y=3 2y−4z=−4 Enter your answer, in the form (x,y,z), in the boxes in simplest terms. x= y= z=
Answer:
(3/2, 0, 1)
Step-by-step explanation:
From 2x+y=3 we have => y=3-2x
From 2y-4z=-4 we have -4z=-2y-4 => z=1/2y+1 => z=1/2 (3-2x) +1 => z=5/2-x
Plug in y & z to find x
2x−y+3z=6 => 2x+(3-2x)+3(5/2-x)=6 => 2x+3-2x+15/2-3x=6 => 21/2-3x =6 => x=3/2
plug in x to find y
2x+y=3 => 2(1.5) + y =3 => y=0
plug in y to find z
2y -4z =-4 => 2(0)-4z=-4 => -4z=-4 => z=1
Ms. Brown needs 8 eggs in order to make 2 cakes. What is the total number of cakes she could make with 24 eggs?
Answer:
Ms. Brown would need 4 eggs in order to make 1 cake, so if she has 24 eggs you would divide 24 by 4, which is 6. So, Ms. Brown could make 6 cakes with 24 eggs.
Hope this helps!
If Y varies directly as x
write down the equation
connecting y and x. If y = 10
when x=5, find the value
of y when x= 16
Answer:
32
Step-by-step explanation:
If y is 2 times as much as x, then 1 = 2
5 x 3 = 15 + 1 = 16
10 x 3 = 30 + 2 = 32, or 16 x 2 = 32
Please tell me if I'm wrong.
55. (a) If alpha and beta are the roots of the equation xsquare+ px+q=0 and beta>alpha find the square of the
difference of the roots in terms of p and q.
Answer:
√(p²-4q)
Step-by-step explanation:
Using the Quadratic Formula, we can say that
x = ( -p ± √(p²-4(1)(q))) / 2(1) with the 1 representing the coefficient of x². Simplifying, we get
x = ( -p ± √(p²-4q)) / 2
The roots of the function are therefore at
x = ( -p + √(p²-4q)) / 2 and x = ( -p - √(p²-4q)) / 2. The difference of the roots is thus
( -p + √(p²-4q)) / 2 - ( ( -p - √(p²-4q)) / 2)
= 0 + 2 √(p²-4q)/2
= √(p²-4q)
Halla el valor de x :
•27/x = x/3
What is sin A?.......................
Answer:
0.4706
Step-by-step explanation:
Sin= O/H
opposite= 8
hypotnuse= 17
8÷17 = 0.4706
Answer:
Your required answer is option A.
Step-by-step explanation:
Hey, there!!!
The given figure is Triangle ABC.
where, AB= 17.
BC= 8
AC = 15.
As it is a Right angled triangle, taking angle theta as a refrence angle.
we get,
h = 17
p= 8
b= 15
we know that,
ratio of sin = p/h
or, sin theta = 8/17
Therefore, the value of x is 0.4705882353.
Hope it helps...
15 lwholes 5 over 8 % of a number is 555 find the number
Answer:
The number is 3,552
15⅝% of 3,552 is 555
Step-by-step explanation:
15⅝% of a number is 555.
To determine what number it is, let the number be x.
Thus,
15⅝%*x = 555
[tex] \frac{125}{8}*\frac{1}{100}*x = 555 [/tex]
[tex] \frac{125}{800}*x = 555 [/tex]
[tex] \frac{125*x}{800} = 555 [/tex]
Multiply both sides by 800
[tex] \frac{125*x}{800}*800 = 555*800 [/tex]
[tex] 125*x = 444,000 [/tex]
Divide both sides by 125
[tex] \frac{125*x}{125} = \frac{444,000}{125} [/tex]
[tex] x = 3,552 [/tex]
The number = 3,552
15⅝% of 3,552 is 555
Choose all properties that were used to simplify the following problem:
(38 +677) + (-38)
[677 + 38) + (-38)
677 + [38 + (-38)]
677 + 0
677
additive identity
additive inverse
commutative property of addition
associative property of addition
distributive property
The properties 1‚ 2‚ 4‚ and 5. are used
The properties used to simplify problem are 1 , 2 and 4.
A problem which is simplified is given ; (38 +677) + (-38).
What are the correct options ?
How will you represent the associative properties of addition ?
Associative properties are represented by ; (A + B ) + C = A + ( B + C ).
As per the data given in question ;
Let's check which options are suitable.
( 38 + 677 ) + ( -38 ) = 38 + ( 677 - 38 )
(A + B ) + C = A + ( B + C )
So , this is the associative property.
677 + 0 = 677
A + 0 = A
So , this is the additive identity.
677 + [38 + (-38)]
Here ; 38 + ( -38 ) represents ;
A + (-A) = 0.
So , this is the additive inverse.
Thus , the properties used to simplify problem are 1 , 2 and 4.
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Amazon is sold at rupees 99000 after 10% discount and 10% bat on the Marked price find the discount amount and vat amount
Answer:
Here,
SP with VAT = Rs. 99000
Discount = 10%
VAT = 10%
Discount Amount =?
VAT Amount = ?
We know,
SP = "100" /"100 + v% " × SP with VAT
= "100" /"100 + 10 " × 99000
= "100" /"110 " × 99000
= Rs. 90000 ∴ VAT Amount = SP with VAT – SP
= Rs. 99000 – 90000
= Rs. 9000 Again, MP = "100" /"100 – d% " × SP
= "100" /"100 – 10 " × 90000
= "100" /"90" × 90000
= Rs. 100000
∴ Discount Amount = MP – SP
= Rs. 100000 – 90000
= Rs. 10000
Step-by-step explanation:
Here is the list of all formulas on MP, Discount, SP, and VAT.
1. Discount Amount = Discount % of MP
2. Discount % = (Discount Amount)/MP ×100%
3. SP = MP – Discount Amount
4. SP = (100 - d%)/(100 ) × MP
5. MP = 100/(100 - d% ) × SP
6. VAT amount = VAT percent of SP
7. VAT percent = (VAT Amount)/SP ×100%
8. SP with VAT = SP + VAT amount
9. SP with VAT = (100 + v%)/(100 ) × SP
10. SP = 100/(100 + v% ) × SP with VAT
11. MP = (100 × 100)/((100 - d%)(100 + v%)) × SP with VAT
12. SP with VAT = ((100 - d%)(100 + v%))/(100 × 100) × MP
3x2 − y3 − y3 − z if x = 3, y = −2, and z = −5.
Answer:
35
Step-by-step explanation:
3x2=6
or if x is variable :18
2x3=6
2x3=6
+5
add them all up:
18+6+6+5=35
let me know if something is confusing.
Convert the radian measure to degree measure. Use the value of π found on a calculator, and round answers to two decimal places. nine pi divided by twelve
Answer:
135°
Step-by-step explanation:
π in radian = 180°
∴ 9π in radians = 9 X 180° = 1620°
Then 9π/12 = 1620°/12 = 135°
Find the term of each sequence.
32, 80, 200, ...5th term
Answer:
t5 = 1250
Step-by-step explanation:
Each term is derived by multiplying the previous term by 2.5
t2 = t1 * 2.5
t2 = 32 * 2.5
t2 = 80
===========
tn = a*b^(n - 1)
t3 = 32*2.5^2
t3 = 200
That's just to test the formula. It does work.
===============
t5 = 32*2.5^(5 -1)
t5 = 32*2.5^4
t5 = 1250
Please help!!!
Simplify: (sin 0 - cos 0)2 + (sin 0 + cos 0)2 (5 points)
Select one:
a. 1
b. 2
c. sin^2theta
d. cos^2theta
Answer:
B
Step-by-step explanation:
(To save time, I'm going to use x instead of θ)
So we have the expression:
[tex](\sin(x)-\cos(x))^2+(\sin(x)+\cos(x))^2[/tex]
First, expand these binomials:
[tex]=(\sin^2(x)-2\sin(x)\cos(x)+\cos^2(x))+(\sin^2(x)+2\sin(x)\cos(x)+\cos^2(x))[/tex]
Combine like terms:
[tex]=\sin^2(x)+\sin^2(x)+\cos^2(x)+\cos^2(x)-2\sin(x)\cos(x)+2\sin(x)\cos(x)\\=2\sin^2(x)+2\cos^2(x)[/tex]
Factor out a 2:
[tex]=2(\sin^2(x)+\cos^2(x))[/tex]
The expression inside the parentheses is the Pythagorean Identity:
[tex]\sin^2(x)+\cos^2(x)=1[/tex]
Substitute:
[tex]=2(1)\\=2[/tex]
The answer is B.
Match the stem and leaf plot
to the correct set of data.
Please help me with this, I am stu pid. UnU
Write 1.61 as a mixed number and as an improper fraction.
Do not try to simplify your answers.
mixed number:
improper fraction: |
Answer:
the answers would be 1 61/100 and 161/100
find the slope of the line that contains (-1,2) and (2,2)
Answer:
[tex]slope=0[/tex]
Step-by-step explanation:
Use the slope formula:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}[/tex]
Rise over run is the change in the y-axis over the change in the x-axis from one point to the other. This is also known as the "slope".
Insert the values:
[tex](-1_{x1},2_{y1})\\\\(2_{x2},2_{y2})\\\\\frac{2-2}{2-(-1)}\\\\\frac{2-2}{2+1}\\\\[/tex]
Simplify:
[tex]\frac{2-2}{2+1}=\frac{0}{3} =0[/tex]
The slope of the line is 0. This means that the two points lie on the same horizontal line.
:Done
Hi if anyone is able to simplify this problem please help me and do so
Answer:
Step-by-step explanation:
Hello,
26 = 2 * 13
8 = 2 * 4
so we can simply as below.
[tex]\dfrac{26}{8}\\\\=\dfrac{2*13}{2*4}\\\\\boxed{=\dfrac{13}{4}}[/tex]
Thank you
[tex]\dfrac{26}{8}=\dfrac{13\cdot2}{4\cdot2}=\,\boxed{\,\dfrac{13}4\,}\,=\dfrac{3\cdot4+1}4=3\frac14[/tex]
or if its 20, not 26:
[tex]\dfrac{20}{8}=\dfrac{4\cdot5}{4\cdot2}=\, \boxed{\,\dfrac{5}2\,}\, =\dfrac{2\cdot2+1}2=2\frac12[/tex]
56:31
Rona mixes 2 pounds of meat with some chopped vegetables to make a mixture. She divides the mixture into 4 equal portions. Each portion weighs 3 pounds. Which equation and solution shows the total amount of chopped vegetables she used in the mixture?
Answer:
The equation is (2+x) / 4 = 3
Total amount of chopped vegetables = 10 pounds
Step-by-step explanation:
Meat=2 pounds
Vegetables=x
Mixture= 2+x
She divides the mixture into 4 equal portions
(2+x)/4
Each portion weighs 3 pounds
(2+x)/4=3
Solve the equation
(2+x)/4=3
Cross product
(2+x) = 4 × 3
2+x=12
x=12-2
=10
x=10 pounds
Total amount of chopped vegetables = 10 pounds
Observe the below figure and answer.
Answer:
the answer is 5
Step-by-step explanation:
11 substract 6 is equal to 5
This composite figure is made of two identical pyramids attached at their bases. Each pyramid has a height of 2 units. 2 identical pyramids with rectangular bases are connected at their base. The height of the pyramid is 2. The lengths of the sides of the rectangle are 5 and 0.25 units. Which expression represents the volume, in cubic units, of the composite figure? One-half (One-third (5) (0.25) (2) ) One-half (One-third (5) (0.25) (4) ) 2(One-third (5) (0.25) (2) ) 2(One-third (5) (0.25) (4) )
Answer:
The total volume of the solid is 1.67 cubic units.
Step-by-step explanation:
Each pyramid with a height of 2 units and a rectangular base with dimensions of 5 units × 0.25 units.
1/3 x (area of base) x height
= 1/3 x (5 x 0.25) x 2= 0.833
Therefore, the volume of each pyramid will be
= cubic units.
So, the total volume of the solid is (2 × 0.833) = 1.67 cubic units. (Answer)
Hope it helped ya!
Mark me BRAINLIEST
Tysmm
The total volume of the solid is 1.67 unit³.
What is Volume?Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Given:
Each pyramid has a height of 2 units.
and the rectangular base with dimensions of 5 units × 0.25 units.
So, the Volume of each Pyramid is
= 1/3 x (area of base) x height
= 1/3 x (5 x 0.25) x 2
= 0.833
and, the total volume of the solid
= (2 × 0.833)
= 1.67 cubic units.
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A timeline. 27 B C E to 180 C E PAX ROMANA. 44 B C E The Roman Empire was founded. 80 C E The Colosseum was built. 121 C E Hadrian's Wall was built in England to keep out enemies. 306 C E Constantine became emperor.
How many years passed between the building of the Colosseum and the building of Hadrian’s Wall?
201
121
41
36
Answer:
the answer is 41
Step-by-step explanation:
C. 41
Step-by-step explanation:
Someone pls help . Will be marking someone brainliest !
Answer:
27.89 hours.
Step-by-step explanation:
I hope this helps! If you would like an explanation, let me know!
Answer:
First question, 28 hours
Second question, 20 minutes
Step-by-step explanation:
$9.50 for each hour + $75 for showing up on time
Let's say the employee showed up on time
(340 - 75) ÷ 9.5 = 28 hours approximately
120 ÷ 6 = 20 minutes
The mean of 14 numbers is 49. Removing one of the numbers causes the mean to decrease to 43. What number was removed?
Answer:
126 was removed.
Step-by-step explanation:
The total before division took place was
Total = mean * 14
mean = 49
Total = 49 * 14
Total = 685
Now you subtract x from the total
685 - x
And divide by 13 [one number is missing]
(685 - x)/13
and the result = 43
(685 - x ) / 13 = 43 Multiply both sides by 13
685 - x = 43 * 13
685 - x = 559 Subtract 685 from both sides
- x = - 126 Multiply by - 1
x = 126
hey guys i need help again with this plzz help me
Answer: A) -4
================================================
Explanation:
The 3^0 in the denominator is equal to 1. Any nonzero number raised to an exponent of 0 is always 1. So this equation x^0 = 1 is true when x is nonzero.
This allows us to simplify to the equation 3^x = 1/81
Note how 81 = 3^4. Taking the reciprocal of 81 means the exponent goes from positive to negative. So 3^(-4) = 1/81. The rule is x^(-k) = 1/( x^k ). We could use logarithms to solve 3^x = 1/81.
find y of a paralagram
Answer:
y = 15
Step-by-step explanation:
In a parallelogram, opposite sides are congruent.
5y - 20 = 2y + 25
3y = 45
y = 15
Answer:
y = 15
Step-by-step explanation:
The top and bottom sides have to be equal in length
5y-20 = 2y+25
Subtract 2y from each side
5y-2y-20 = 2y-2y+25
3y -20 = 25
Add 20 to each side
3y = 20+25
3y = 45
Divide each side by 3
3y/3 = 45/3
y = 15
What is the volume of the cone below?
A. 432 units 3
B. 1447 units 3
C. 1087 units 3
D. 2167 units 3
Answer:
[tex]144\pi[/tex]
Step-by-step explanation:
To find the volume of a cone use the formula [tex]v = \pi r^2\frac{h}{3}[/tex]
When you substitute that into an equation it will be [tex]v = \pi 4^2\frac{27}{3}[/tex]
First you should evaluate the exponent making it 16
Next divide 27 and 3 which is 9
Since you don't have to multiply by 3.14 ([tex]\pi[/tex]) the equation should be ...
[tex]144\pi[/tex]
Answer:
144
Step-by-step explanation:
PLEASE HELP ASAP.....
Answer:
3√3
Step-by-step explanation:
to get x, we divide 6 by 2 and get 3
therefore, we multiply the short leg by √3
the answer finally equals to 3√3
Answer:
[tex]\boxed {\boxed {\sf y=3}}[/tex]
Step-by-step explanation:
We are asked to find y, a missing side in a triangle.
1. Special Triangle RulesThis triangle is special. There is a 30-degree angle and a right angle or 90 degree angle, the unlabeled angle is 60 degrees. This is a 30-60-90 triangle so the sides are always in a specific relationship.
The side across from the 30-degree angle is a, the hypotenuse is 2a, and the side across from the 60-degree angle is √3 a.
y is across from the 30 degree angle, so it is equal to a. However, we have to find a. We are given one side that measures 6. It is the hypotenuse because it is across from the right angle. Therefore, it is equal to 2a.
2a= 6a is being multiplied by 2. Divide both sides by 2 to solve for a.
2a/2= 6/2 a= 6/2 a=3y is across from the 30-degree angle, so it is equal to a or 3.
2. Trigonometric Functions
We can also solve using the 3 main trigonometric functions.
sinθ= opposite/hypotenuse cosθ= adjacent/hypotenuse tanθ= opposite/adjacenty is opposite the 30-degree angle and 6 is the hypotenuse, and we will use sine.
[tex]sin \theta= \frac{opposite}{hypotenuse}[/tex]
[tex]sin (30)= \frac{y}{6}[/tex]
y is being divided by 6. The inverse operation of division is multiplication. Multiply both sides by 6 to solve for y.
[tex]6 * sin(30)= \frac{y}{6} *6[/tex]
[tex]6 * 0.5 = y[/tex]
[tex]3= y[/tex]
The missing side, y , is equal to 3.