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3 years ago

Solve. x - 6 = 3 A) x = -3 B) x = 2 C) x = 3 D) x = 9 Please Help im trying to get my grades up

Mathematics

2 answers:

kirza4 [7]3 years ago

6 0

x=9

Add 6 to both sides of the equation. x = 3 + 6

Add 3and 6.

x=9

MaRussiya [10]3 years ago

5 0

Answer: D) x = 9

Step-by-step explanation:

x-6=3

x=3+6 (Add six to both sides)

x=9 (Simplify 3+6 to 9.)

Hope this helps, have a wonderful and BLESSED day! :-)

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Answer:

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

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Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

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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. $\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\$

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b) To find area of one lateral surface:

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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 = $87.6\ mm^{2}$

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