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Flauer [41]
4 years ago
8

Mateo built the skateboard ramp below and filled it with pebbles to make it more stable.

Mathematics
2 answers:
Juliette [100K]4 years ago
3 0

Answer:

it is 1,3,and 5

Step-by-step explanation:

pentagon [3]4 years ago
3 0
<h2>Answer:</h2>

The statements that are true about the ramp is:

  • The shape can be broken into a rectangular prism and a triangular prism.
<h2>Step-by-step explanation:</h2>

Clearly from the figure given to us we observe that:

  1. It is made up of a rectangular prism and a right angled triangular prism.
  • Also, if B is the base area of the rectangular prism (i.e. square base) and h is it's height then the volume of the Rectangular prism is:

Volume=Bh

Also, for the triangular prism the base area is halved and hence the base area of triangular prism is: B/2

Hence, the total volume of Triangular prism is: \dfrac{1}{2}Bh

Hence, the total volume of figure is:

Bh+\dfrac{Bh}{2}

  • Also, we have Base area B=4 square ft. (Since, it is made up of square base with side 2 ft. )

                        and h=4.8 ft.

                       Hence, volume of figure is:

4\times 4.8+\dfrac{4\times 4.8}{2}\\\\\\28.8 cubic ft.

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Find the measure of angle 1
Lubov Fominskaja [6]
In ∆FDH, there are two slash marks in two of its legs. This indicates that this triangle is isosceles. If a triangle is isosceles, then it will have two congruent sides and therefore have two congruent angles.

In ∆FDH, angle D is already given to us as the measure of 80°. We can find out the measure of the other angles of this triangle by using the equation:

80 + 2x = 180

Subtract 80 from both sides of the equation.

2x = 100

Divide both sides by 2.

x = 50

This means that angle F and angle H in ∆FDH both measure 50°.

Now, moving over to the next smaller triangle in the picture is ∆DHG. In this triangle, there are also two legs that are congruent which once again indicates that this triangle is isosceles.

First, we have to solve for angle DHG and we do that by using the information obtained from solving for the angles of the other triangle.

**In geometry, remember that two or more consecutive angles that form a line will always be supplementary; the angles add up to 180°.**

In this case angle DHF and angle DHG are consecutive angles which form a linear pair. So, we can use the equation:

Angle DHF + Angle DHG = 180°

50° + Angle DHG = 180°.

Angle DHG = 130°.

Now that we know the measure of one angle in ∆DHG, we can use the same method as the previous step for solving the missing angles. Use the equation:

130 + 2x = 180

2x = 50

x = 25

The other two missing angles of ∆DHG are 25°. This means that the measure of angle 1 is also 25°.

Solution: 25°
8 0
4 years ago
Read 2 more answers
What is the answer to this one?
Kamila [148]

Answer:

20

Step-by-step explanation:

n-50=30

n=-30+50

n+20

3 0
3 years ago
Alice purchased a cell phone for 30% off the original price. The sale price of the cell phone was $84. What was the original pri
VladimirAG [237]

Answer: $120

Step-by-step explanation: 30% off of 120 is 84

7 0
3 years ago
I don’t know how to find the equation for this problem
Elis [28]
Try y=3/2x + 3/2

rise over run is 12/8 which simplifies to 3/2

and the y intercept is 1.5 or 3/2
6 0
3 years ago
Find the length of the arc<br> A.8 pie ft<br> B.32 pie ft<br> C.64 pie ft<br> D. 361 pie/ 12 ft
ExtremeBDS [4]
<h3>Answer: Choice A. 8pi  feet</h3>

======================================================

Explanation:

The perimeter around the circle is known as the circumference

The full circumference of a circle with radius r is

C = 2*pi*r

In this case, r = 16 is the radius, so,

C = 2*pi*r

C = 2*pi*16

C = 2*16*pi

C = 32pi

is the full distance around the circle. But we only want 90/360 = 1/4 of that total distance. So take 1/4 of 32pi to get

(1/4)*32pi = (1/4*32)pi = 8pi

The arc length is exactly 8pi feet long

Approximately this is about 25.13274 feet

6 0
3 years ago
Read 2 more answers
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