Answer:
8
Step-by-step explanation:
The there smallest consecutive odd numbers are 1,3 and 5
Therefore the smallest possible perimeter of such triangle = 8
what are the coordinates of vertices of quadrilateral ABCD? use the coordinates to find the length of DA.
A(-5,-4)
B (1,4)
C(4,0)
D(1,-4)
Need help ASAP ???
We can conclude that the length of DA is 6.
For a quadrilateral defined as ABCD, the vertices of the quadrilateral are the points in the name, so the four vertices are the points A, B, C, and D.
These are given, so we know that the vertices are the points:
A(-5,-4)
B (1,4)
C(4,0)
D(1,-4)
Now we want to find the length of DA, this is the distance between points D and A.
Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Then for the case of the points:
A (-5, -4) and D (1, -4)
the distance is given by:
[tex]d = \sqrt{(1 - (-5))^2 + (-4 - (-4))^2} = \sqrt{(1 + 5)^2} = 6[/tex]
Then we can conclude that the length of DA is 6.
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A hiker starts walking due west from Sasquatch Point and gets to the Chupacabra Trailhead before she realizes that she hasn't reset her pedometer. From the Chupacabra Trailhead she hikes for 8 miles along a bearing of N27°W which brings her to the Muffin Ridge Observatory. From there, she knows a bearing of S38°E will take her straight back to Sasquatch Point. How far will she have to walk to get from the Muffin Ridge Observatory to Sasquach Point, to the nearest tenth of a mile?
Answer:
9.05 mile
Step-by-step explanation:
From the information given :
Let represent S for Sasquatch Point
Let C represent Chupacabra Trailhead
Let M represent Muffin Ridge Observatory
The diagram for the bearing of the information given can be seen in the attached file below.
At angel C = 90° -27° = 63°
The Alternate angles are shown in the second diagram below.
In order to determine the distance she will have to walk from the Muffin Ridge Observatory to Sasquatch Point, we use the sine formula:
[tex]\mathtt{\dfrac{sin \ C }{c} = \dfrac{sin \ S}{s}}[/tex]
[tex]\mathtt{\dfrac{sin \ 63 }{c} = \dfrac{sin \ 52}{8}}[/tex]
By cross multiply
8 × sIn 63 = c× sin 52
[tex]\mathtt{c = \dfrac{8 \times Sin 63}{Sin \ 52}}[/tex]
[tex]\mathtt{c = \dfrac{7.1281}{0.7880}}[/tex]
c = 9.0458 mile
c [tex]\simeq[/tex] 9.05 mile to the nearest tenth
A new scooter is valued at $15 000.
At the end of each year its value is reduced
by 15% of its value at the start of the year.
What will it be worth after 3 years?
here
p= 15000
r=15%
t= 3 yrs
now
depreciation = p(1-r/100)^t
= 15000(1-15/100)^3
=9211.875
=9212 or 9211.88
Which of these is a ratio table?
A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 5, 6, 7.
A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 4, 5, 7.
A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 1, 4, 9.
A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 2, 4, 6.
Answer:
A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 2, 4, 6.
Step-by-step explanation:
The table with a constant ratio between A and B is the one with entries ...
B/A = 2/1 = 4/2 = 6/3
The ratio is 2. The table is the last one described here.
Answer:
b
Step-by-step explanation:
hope this helps
Nate is creating a PSA about building a "green” roof. Which source is most reliable for his research? a blog post written by a community gardener a .com website that advertises fertilizer a .gov or .org website about ecological roofs a book featuring photos of different styles of roof
Answer:
Nate wants to use a .org (or .gov) site about ecological roofs, a book featuring photos of different styles of room because
1. It specifically talks about green roof's
2. Unlike the blog post, the .org/.gov is not attempting to sell a product that may change how the article is written.
Nate wants to use a .org (or .gov) site about ecological roofs, a book featuring photos of different styles of rooms because It talks explicitly about green roofs.
What is a survey?A survey is research done by any company or an organisation on the group of people or their activity or on any other data like their sells etc to find out the valuable information from that data.
Nate wants to use a .org (or .gov) site about ecological roofs, a book featuring photos of different styles of rooms.
1. It specifically talks about green roofs
2. Unlike the blog post, the .org/.gov is not attempting to sell a product that may change how the article is written.
Therefore Nate wants to use a .org (or .gov) site about ecological roofs, a book featuring photos of different styles of rooms because It talks explicitly about green roofs.
To know more about surveys follow
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help w−3/4=8 a) 5 b) 35 c) 29 d) -1
Answer:
w = 35/4
im not exactly sure why the options are whole numbers.
Step-by-step explanation:
8 = w-3/4
-w + 8 = -3/4
-w = -3/4 - 8
-w = -3/4 - 32/4
-w = -35/4
w = 35/4
What is the distance between the points (5,1) and (-3,-5)?
Answer
[tex] \boxed{10 \: \: units}[/tex]
Step by step explanation
Let the points be A and B
A ( 5 , 1 ) ⇒ ( x₁ , y₁ )
B ( -3 , -5 )⇒ ( x₂ , y₂ )
Now, let's find the distance between theses two points:
Distance = [tex] \mathsf{ \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }[/tex]
Plug the values
[tex] \mathsf{ \sqrt{ {( - 3 - 5)}^{2} + {( - 5 - 1)}^{2} } }[/tex]
Calculate
[tex] \mathsf{ \sqrt{ { ( - 8)}^{2} + {( - 6)}^{2} } }[/tex]
Evaluate the power
[tex] \mathsf{ \sqrt{64 + 36} }[/tex]
Add the numbers
[tex] \mathsf{ \sqrt{100} }[/tex]
Write the number in exponential form with a base of 10
[tex] \mathsf {\sqrt{ {10}^{2} } }[/tex]
Reduce the index of the radical and exponent with 2
[tex] \mathsf{10 \: units}[/tex]
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The distance formula is used to determine the distance ( d ) between two points. If the co-ordinates of the two points are ( x₁ , y₁) and ( x₂ , y₂ ) , the distance equals the square root of x₂ - x₁ squared + y₂ - y₁ squared.
Hope I helped!
Best regards!
what is the area of a circle if the diameter is 16 millimeters?
━━━━━━━☆☆━━━━━━━
▹ Answer
A ≈ 201.06 mm²
▹ Step-by-Step Explanation
A = πr²
Radius = 1/2d
Radius = 1/2(16)
Radius = 8
Substitute:
A = π8²
A ≈ 201.06 mm²
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Answer:
The answer is 201 mm²Step-by-step explanation:
Area of a circle is given by πr²
where r is the radius
To find the radius we use the formula
radius = diameter / 2
From the question
diameter = 16mm
radius = 16 / 2 = 8mm
So the area of the circle is
π(8)²
= 64π
= 201.061
= 201 mm² to the nearest whole number
Hope this helps you
Write a verbal expression for (c-2)d
Answer:
the sum of c minus 2 multiplied by d ------> (c-2)d
For the slope-intercept form of a linear function, the variable m represents the
Answer:
y=mx+b
y = dependent variable
x = independent variable
m = the slope of the line
b = the y-intercept
This is why they call itI "slope-intercept" because it gives you the SLOPE(m) and the Y-INTERCEPT (b)
Step-by-step explanation:
Answer:
The variable m represents the slope
Step-by-step explanation:
Hey there!
Well slope intercept is,
y = mx + b
The m stands for slope,
b stands for y-intercept
x stands for independent variable
y stands for the dependent variable
Hope this helps :)
The perimeter of a rectangle is 18cm . if the length is (x+2), find it's width.
Answer:
W = 7 - x
Step-by-step explanation:
The perimeter is P= 2L + 2×W , where L is the length and W is the width.
If L = (x+2) , replacing L with the expression x+2 we have
P= 2×(X+2) + 2W ⇔ 18 = 2x + 4 + 2W ⇔ 2W =18 - 2x - 4 ⇔ 2W = 14 - 2x
⇔ W = 7 - x
help with geometry pls
Answer:
option 2 must be the correct answer because the two figure are congruent figure.
Answer:
B
Step-by-step explanation:
Since Δ ABC ~ Δ DEF then the ratios of corresponding sides are equal, that is
[tex]\frac{AB}{DE}[/tex] = [tex]\frac{BC}{EF}[/tex] = [tex]\frac{CA}{FD}[/tex] → B
Which angle in ABC has the largest measure?
A.
B.
C.
D. Cannot be determined
Answer:
< B has the largest angle measure.
as it is opposite to longest side of triangle.
Which is the correct graph of the inequality y > 2x + 1?
SHOW HOW YOU KNOW
Answer:
the answer is a
A (top left corner)
Suppose triangle TIP and triangle TOP are isosceles triangles. Also suppose that TI=5, PI=7, and PO=11. What are all the possible lengths TO? Enter the possible values, separated by commas.
===========================================
Explanation:
Refer to the diagram below.
In order for triangle TOP to be isosceles, the missing side x must be either 5 or 7. This way we have exactly two sides that are the same length.
--------
If TP = 5, then the value of y could be either 5 or 11 to ensure that triangle TIP has exactly two sides the same length.
If TP = 7, then y = 7 or y = 11 for similar reasons.
--------
Therefore, the possible lengths for segment TO are 5, 7, and 11.
Answer:
7, 11
Step-by-step explanation:
its right- trust me-
What is the measure of angle x?
Answer:
93+52+x=180(sum of angels of a triangle)
145+x=180
x=180-145
x=35
Answer:
D. 35
Step-by-step explanation
Every triangle equals to 180 degrees
Add the 2 angles, 93 and 52 which equals 145
Now subtract 180 and 145
Therefore, you should get 35
The Lewis family and the Martin family each used their sprinklers last summer. The water output rate for the Lewis family's sprinkler was 30L per hour. The water output rate for the Martin family's sprinkler was 15L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1350L. How long was each sprinkler used
Answer:
Martin family: 20 hours
Lewis family: 35 hours
Step-by-step explanation:
Let's say that the Lewis family sprinklers were out for L hours and the Martin family's sprinklers were out for M hours. We know that for each hour that the Lewis family sprinkler was on, 30L of water was put out. We can thus write the Lewis family sprinkler water output as 30L per each hour of L = 30 * L. Similarly, the Martin family sprinkler water output = 15 * M .
We know that the total hours for the sprinklers is 55, so L + M = 55. The total water output for the sprinklers is the sum of the sprinkler outputs, so 30 * L + 15 * M = 1350
L + M = 55
30 * L + 15 * M = 1350
One way to solve this would be to solve for L in the first equation and substitute that into the second
subtract M from both sides in the second equation
55 - M = L
30 * (55-M) + 15 * M = 1350
30 * 55 - 30 * M + 15 * M = 1350
1650 - 15M = 1350
subtract 1650 from both sides to isolate the M and its coefficient
-15M = -300
divide both sides by -15 to isolate M
M = 20
L = 55-20 = 35
what is a possible solution to the inequality?
1/4a +1 > 9
Answer:
a > 32 is one possible solution to the inequality 1/4a +1 > 9.
Step-by-step explanation:
Simplify 4 to the 2nd power times 4 to the eighth power 
A. 4 to the 16th power
B. 4 to the 10 power
C. 16 to the 16 power
D. 16 to the 10 power
Please help ASAP!!!!!!!!
Answer:
4 to the power of 10.
Step-by-step explanation:
A rule is that x to the power of y + x to the power z of must equal x to the power of z+y.
Answer:
Option B
Step-by-step explanation:
4²×4^8
4^(2+8)
4^10
4 to the 10th power
1. Find the measure of angle R.
Answer:
the first option 40 degrees
Step-by-step explanation:
the outward angle at the center of the circle between the two tangential points is 220 degrees.
that means that the inward angle between them is
360 - 220 = 140 degrees.
now consider that there is a triangle between the center of the circle, one of the tangential points (it does not matter which one, as the upper and the lower triangles are equal) and the point R.
we know the angle at the tangential point : 90 degrees by definition (otherwise it would not be a tangent).
and we know the angle at center of the circle, which is half of the inward angle
140 / 2 = 70 degrees.
and at point R we have half of the full angle R.
we can calculate that half by using the fact that the sum of all angles in a triangle is always 180 degrees.
180 = 90 + 70 + R/2
180 = 160 + R/2
20 = R/2
R = 40 degrees
AABC is reflected across the x-axis and then translated 4 units up to create AA'BC. What are the coordinates of the vertices of AABC?
OA A'(-3, 3), B(-1, 1). C(-2.3)
ОВ.
A'(3.-3), B(1,-1), C(2.-3)
OC. A'(3.-5), B(1, -7), C(3.-5)
OD. A'(-3, 3), B(-1, 1), C(-2,-
Answer:
A
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
A(- 3, 1 ) → (- 3, - 1 )
B(- 1, 3 ) → (- 1, - 3 )
C(- 2, 1 ) → (- 2, - 1 )
A translation of 4 units up means adding 4 to the y- coordinate
( - 3, - 1 ) → A' (- 3, - 1 + 4 ) → A' (- 3, 3 )
(- 1, - 3 ) →B' (- 1, - 3 + 4 ) → B' (- 1, 1 )
(- 2, - 1 ) → C' (- 2, - 1 + 4 ) → C' (- 2, 3 )
The focus of a parabola is (3,-7) and the directrix is y = -4.
What is an equation of the parabola?
Answer:
(a) (x -3)^2 = -6(y +5.5)
Step-by-step explanation:
The equation of a parabola can be written as ...
(x -h)^2 = 4p(y -k)
where (h, k) is the vertex, and p is the distance from the focus to the vertex.
The vertex is half-way between the focus and directrix, so is ...
(h, k) = (1/2)((3, -7) +(3, -4)) = (3, -5.5)
The focus is at y=-7, and the vertex is at y=-5.5, so the distance between them is ...
-7 -(-5.5) = -1.5
Then the equation for the parabola is ...
(x -3)^2 = 4(-1.5)(y -(-5.5))
(x -3)^2 = -6(y +5.5) . . . . matches the first choice
(05.01) A window is 4 feet and 8 feet tall. A manufacturer wants to use a scale factor of 1.5 to enlarged a window. What will the area of the wind will be after it is enlarged?
Answer:
the window would be 72ft²
Step-by-step explanation:
A window is rectangular in shape.
the area of a rectangle is give as length * breadth
but this question say that the manufacturer wants to enlarge the window by 1.5
therefore we are going to multiply the length by 1.5 and the breadth also by 1.5 to get the new area of the bigger window.
length = 8 * 1.5
= 12
width = 4 * 1.5
= 6
The new area would be = l * b
= 12 * 6
= 72ft²
Identify the segments that are parallel, if any, if ∠KCB≅∠JAC.
The two lines are parallel if they are at same distant, but these lines will never meet at any point.
Parallel lines do not intersect each other. These lines are equidistant from each other.
In the given angles the line CB will be parallel to line AC.
CB ≅ AC
These two lines will be equidistant from each other since they both form an equivalent angle. These lines will not intersect with each other.
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Round 96.1825899389 to 4 decimal places.
The value of y varies directly with x, where LaTeX: y=50y = 50 when LaTeX: x=40x = 40. Find the value of x when y is 10.
Group of answer choices
LaTeX: x=8 x = 8 x = 8 x = 8 x = 8 x = 8 x = 8 x = 8
LaTeX: x=12.5 x = 12.5 x = 12.5 x = 12.5 x = 12.5 x = 12.5 x = 12.5 x = 12.5
LaTeX: x=1.25 x = 1.25 x = 1.25 x = 1.25 x = 1.25 x = 1.25 x = 1.25 x = 1.25
LaTeX: x=0
Answer:
x= 8
Step-by-step explanation:
The equation of direct variation is
y = kx
When y = 50 when x = 40
50 = k* 40
Divide each side by 40
50/40 = k
5/4 = k
The equation is
y = 5/4x
Let y = 10
10 = 5/4x
Multiply each side by 4/5
4/5 * 10 = 5/4 x * 4/5
8 = x
If tanx+cotx=2 then Cosx =?
Answer:
sqrt(2)/2
Step-by-step explanation:
tan(x) and cot(x) are both 1 when x=pi/4 and since 1+1=2, then we just need to evaluate cos(pi/4) which equals sqrt(2)/2.
Under what condition the composite function of any two function is an identity function?
Answer:
under the condition of f(x)=x composite function is an identity one
What conic section is formed when a plane intersects both nappes of a double-napped cone?
Answer:
When a plane intersects both nappes of a double-napped cone but does not go through the vertex of the cone, the conic section that is formed by the intersection is a curve known as hyperbola. Therefore, the answer is: Hyperbola
3. Which property of similarity can be used to prove triangles STR and VWU are similar?
Answer:
Not enough information
Step-by-step explanation:
Similar triangles must have congruent corresponding angles and proportional corresponding sides.
Answer:
not enough information
Step-by-step explanation: