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3 years ago

Write an expression that is equivalent to 3/4 (5z+ 16

1 answer:

Pie3 years ago

6 0

(15/4)*z + 12?... I tried working with different ways on the calculator to get the answer and that might be it.

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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

2 years ago

Question in picture please help!

EleoNora [17]

Answer:

part a is A and E

Step-by-step explanation:

I had token the test

3 0

1 year ago

you are at the mall and you want to buy a hoodie for 35 dollars its on sale for 25 percent off how do you find the discounted pr

Gnesinka [82]

Answer:$8.75

Step-by-step explanation:Thus, a product that normally costs $35 with a 25 percent discount will cost you $26.25, and you saved $8.75. You can also calculate how much you save by simply moving the period in 25.00 percent two spaces to the left, and then multiply the result by $35 as follows: $35 x .25 = $8.75 savings.

6 0

3 years ago

Not working for me ::: need help -3 < 3 x -5 < 4

gladu [14]

$-3 < 3 x -5 < 4\\ 2$

7 0

2 years ago

Jackson makes 7 calls each day after 36 days how many calls will Jackson make?

oksian1 [2.3K]

Answer:

352 calls

Step-by-step explanation:

Each day he makes 7 calls and 36 days have gone by so you'll multiply 36 and 7.

8 0

2 years ago