In the diagram, a transversal intersects two parallel lines. Find the measure of angle 2?

Here is a triangular pyramid and its net.

galben [10]

Answer:

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. $\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\$

${\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}$

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

$\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}$

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

$\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}$

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to Lateral Surface Area + Area of base

$\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}$

Hence,

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

8 0

3 years ago

Please help me I’m so lost

Svetllana [295]

Answer:

759.88 square inches

Step-by-step explanation:

$r = \frac{1}{2}d = \frac{1}{2} \times 44 = 22 \\ \\ area = \frac{1}{2} \pi \: {r}^{2} \\ area = \frac{1}{2} \times 3.14 \times 22 \times 22 \\ area = 759.88 \: square \: inches$

4 0

3 years ago

Read 2 more answers

X-3= 0 and 4x+2y-1= 0

Assoli18 [71]

X-3=0
x=3

4x+2y-1=0
4(3)+2y-1=0
12+2y-1=0
11+2y=0
2y=-11
y=-5.5

3 0

3 years ago

Read 2 more answers

Mr. Nice's backyard has an area of 225 square feet. What is the length of one side of his backyard?

Fittoniya [83]

Answer:

C. 15 feet

Step-by-step explanation:

Area formula

A = l²

225 = l²

l = √225

l = √15²

l = 15 feet

7 0

4 years ago

What the answer please tell me

miskamm [114]

Answer:

So base on the question that describe the Amanda's jewelry box that is in shape of a cube and has a measurement of 6 inch on on its edge, to calculate the volume of the said cube, you must multiply the said number to the power of 3 and with that, the volume would be 216 cubic inches

hope this helps

4 0

3 years ago