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dangina [55]
3 years ago
9

Find the value of n in the equation 6.2n – 3.7n = 85 + 45.

Mathematics
2 answers:
Hoochie [10]3 years ago
8 0

Answer:

D. 52

Step-by-step explanation:

Add 85 and 45 to get 130.

6.2n-3.7n=130

Subtract 3.7 from 6.2

2.5n=130

divide 130 by 2.5 to find n

N=52

Paha777 [63]3 years ago
3 0
2.5n=130
n=52
Answer is D. 52
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Answer:

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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 <em>Lateral Surface Area + Area of base</em>

\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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3 years ago
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3 years ago
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Step-by-step explanation:  (8 + 6x) + (-4 + 9c)

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If a rectangular. Prism. Has 5cm. 10cm on one side and 4cm on the. Other. What is the volume of the rectangle?
emmasim [6.3K]

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Step-by-step explanation:

Given

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The volume of the prism is given by V=l\times w\times h

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Therefore, the volume of the prism is 200\ cm^3.

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2 years ago
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