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3 years ago

Please help ASAP I am in desperate need

Mathematics

1 answer:

Vlad1618 [11]3 years ago

8 0

Answer:

x = 9

TH = 12

Step-by-step explanation:

since TM is half of HM, the equation is:

2(21 - x) = 3x - 3

42 - 2x = 3x - 3

45 = 5x

x = 9

TH = 21 - x

TH = 21 - 9

TH = 12

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Use the figure below to answer the questions.

Archy [21]

Answer:

a. What is the name of the 3D shape?

The name of the 3D shape is Prism

b. What is the formula for total surface area for this shape?

Total surface area:

$S=2A_{b}+P_{b}h$

c. What is the surface area of the figure?

The surface area of the figure is 144 cm²

Step-by-step explanation:

a. What is the name of the 3D shape?

The 3D shape has two congruent and parallel faces (triangles) and the other faces are parallelograms, then the 3D shape is a prism

b. What is the formula for total surface area for this shape?

Total Surface area:

$S=2A_{b}+P_{b}h$

where:

Area of the base of the prism: Ab

Perimeter of the base: Pb

Height of the prism: h

c. What is the surface area of the figure?

The base of the prism is a triangle. Then to calculate the area of the base, we must use the formula to calculate the area of a triangle:

$A_{b}=\frac{bh}{2}\\ A_{b}=\frac{(4 cm)(3 cm)}{2}\\ A_{b}=\frac{12cm^{2} }{2}\\ A_{b}=6cm^{2}$

The perimeter of the base is the perimeter of the triangle, equal to the sum of the sides of the triangle:

$P_{b}=4cm+3cm+5cm\\ P_{b}=12cm$

h: Height of the prism is the distance between the bases of the prism (the triangle), then h=11 cm

Then, replacing in the formula the known values:

$S=2(6 cm^{2})+(12 cm)(11 cm)\\ S=12 cm^{2}+132 cm^{2}\\ S=144 cm^{2}$

8 0

3 years ago

Calculate the missing length for this cylinder

Snezhnost [94]

I assume by the length you mean height so,

$\frac{6908}{ \pi * 22^{2} }$ ≈ <span>4.54.

if you're supposed to round it, it'd be either 4.50, or 5
</span>
I hope this helps

5 0

3 years ago

Read 2 more answers

Find the measure of angle A.

Sergeeva-Olga [200]

Ans: The measure of exterior angle i.e angle A is -52⁰.

You meant to say that the measure of an angle A is on exterior angle so let me elaborate it you clearly,

$x + 59 \\ = - 7 + 59 \\= - 52$

7 0

2 years ago

Help me with this the question is in the picture

nasty-shy [4]

Answer:

28:12

Step-by-step explanation:

You multiply both sides by the same number to increase a ratio, the only one you can do this with is 28:12 by multiplying the original ratio by 4

6 0

3 years ago

The length of a rectangle is 3 yd less than twice the width, and the area of the rectangle is 44 yd^2 Find the dimensions of the

vovangra [49]

Answer:

width: 5.5 yd; length: 8 yd

Step-by-step explanation:

Let w represent the width of the rectangle in yards. Then 2w-3 is the length and the area is the product of length and width:

w(2w-3) = 44

2w^2 -3w -44 = 0 . . . . put the equation into standard form

(w+4)(2w -11) = 0 . . . . . factor the equation

w = -4 or 11/2 . . . . . . . . the negative solution is extraneous

Then the length is 2·(11/2) -3 = 8.

The width of the rectangle is 5.5 yards; the length is 8 yards.

5 0

3 years ago