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3 years ago

Write an expression for the length of the rectangle. (Hint: Factor the area binomial and recall that Area=width times length)

Mathematics

1 answer:

cestrela7 [59]3 years ago

8 0

Answer: A=l⋅w where A is the area of the rectangle, l is the length of the rectangle and w is the width of the rectangle.

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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 <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 = $87.6\ mm^{2}$

8 0

3 years ago

Reduce to the lowest term 5/4 + 2/3 = ?

liubo4ka [24]

5/4=15/12
2/3=8/12
15/12+8/12=23/12

7 0

3 years ago

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2. Evaluate 11h - 6 for when h = 6.

Troyanec [42]

Answer:

Step-by-step explanation:

11*h-6

11*6-6

66-6

6 0

3 years ago

8. Find the measure of the indicated angle. Round to the nearest

Yuri [45]

Answer:

relationship between base and hypotenuse is given by cos angle

let angle be ø

cos ø=b/h

cosø=28/34

ø=cos-¹(28/34)=34.5°

5 0

3 years ago

Pls help me ????????????

ArbitrLikvidat [17]

Answer:

24 books

Step-by-step explanation:

5 0

3 years ago

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Write an expression for the length of the rectangle.​ (Hint: Factor the area binomial and recall that Area=width times length)

Write an expression for the length of the rectangle. (Hint: Factor the area binomial and recall that Area=width times length)