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3 years ago

Work out the area of this shape

Mathematics

1 answer:

Bumek [7]3 years ago

6 0

Answer:

75.5

Step-by-step explanation:

First, the picture is not to scale.

The Area of the bottom (2) rectangle is 33

base x height = A

11 x 3 = 33 (where did I get 3? Total height of shape is 8. Trapezoid is 5)

(8-5 = 3)

Area of the trapezoid:

A = $\frac{h (B_{1} + B_{2}) }{2}$

= $\frac{(5)(6 + 11)}{2}$

= $\frac{5(17)}{2}$

= $\frac{85}{2}$

= 42.5

42.5 + 33 = 75.5

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1. What is the value of the expression 3^-4?. a) -81. b) -12. c) -1/81. d) 1/81. 2. What is the value of the expression 1/4^3?.

hjlf

Answer:

Option d is correct

Option c is correct

Option a is correct

Option d is correct

Option c is correct

Explanation:

Using exponent rule:

$a^{-n} = \frac{1}{a^n}$

Given the expression:

$3^{-4}$

Apply the exponent rules:

$\frac{1}{3^4} = \frac{1}{81}$

Therefore, the value of the given expression is, $\frac{1}{81}$ .

To find the value of the expression $\frac{1}{4^3}$

then;

$\frac{1}{4^3} = \frac{1}{64}$

Therefore, the value of the given expression is, $\frac{1}{64}$ .

Find the the value of the expression $\frac{2}{4^3}$

then;

$\frac{2}{4^3} = \frac{2}{64}$

Simplify:

$\frac{1}{32}$

Therefore, the value of the given expression is, $\frac{1}{32}$ .

Given the expression:

$K^{-3} = \frac{1}{27}$

we can write this as:

$K^{-3} = \frac{1}{3^3}$

Apply the exponent rules:

$K^{-3} = 3^{-3}$

On comparing both sides we have;

K = 3

Therefore, the value of K is, 3

Given the expression:

$3^N= \frac{1}{81}$

we can write this as:

$3^N= \frac{1}{3^4}$

Apply the exponent rules:

$3^N = 3^{-4}$

On comparing both sides we have;

N = 4

Therefore, the value of N is, -4

3 0

4 years ago

Read 2 more answers

Help plzz hurry i didnt study and need help

prisoha [69]

I think 3=95 4=85 :)

5 0

3 years ago

a countrys population in 1991 was 145 million. in 1996 it was 151 million. estimate the population in 2006 using the exponential

andrew-mc [135]

Answer:6 billion

Step-by-step explanation:

Just multiple both numbers

8 0

3 years ago

The hard disk of a computer spins at 256 rotations per second. How many degrees does the hard disk pass through in one second?

Novay_Z [31]

One rotation means going once through a circular route.

One circular route means turning around by 360°

Now we know that one rotation always makes 360°.

The hard disk rotates 256 times in 1 second.

First we shall calculate the number of degrees.

In one rotation it covers 360°.

So in 256 rotations it covers 256 × 360 = 92160°

But these 256 rotations are made in one second.

So the disk passes 92160° in one second.

Answer: The hard disk passes 92160° in one second

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3 years ago

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A function, h(x), is defined as shown. (x-4, h(x) = 3x - 3, 0

LenKa [72]

Answer:

It's about 20 feet

Step-by-step explanation:

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2 years ago