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3 years ago

Can someone help me find the area of this shape.

Mathematics

1 answer:

suter [353]3 years ago

7 0

Answer:

37 ft²

Step-by-step explanation:

The figure is composed of a triangle and a square

Therefore, area of the figure = area of the triangle + area of the square

= ½bh + s²

Where,

b = 1.5 + 4 + 1.5 = 7 ft

h = 6 ft

s = 4 ft

Plug in the values into the equation

Area of the figure = ½*7*6 + 4²

= 21 + 16

= 37 ft²

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A transformer increases the input voltage from 12V to 12,000V. What is the ratio of the number of wire turns on the primary coil

erma4kov [3.2K]

Answer:

$\frac{n_p}{n_s}=\frac{1}{1000}$

Step-by-step explanation:

Given voltage of primary coil is $V_p=12V$

And voltage of secondary coil is $V_s=12,000V$

A transformer is a device that contains primary and secondary coil. These coils are mounted on soft iron. The change in voltage depends upon the number of turns of primary coil $(n_p)$ and secondary coil $(n_s)$ .

Following equation represents the relation between them.

$\frac{V_s}{V_p} =\frac{n_s}{n_p}\\\\\frac{12,000}{12}=\frac{n_s}{n_p}\\\\1000=\frac{n_s}{n_p}$

Then, ratio of the number of wire turns on the primary coil to the number of turns on the secondary coil is

$\frac{n_p}{n_s}=\frac{1}{1000}$

5 0

3 years ago

Find the common difference of the arithmetic sequence 3, -2, -7

svlad2 [7]

Answer:

-5

Step-by-step explanation:

To find the common difference, take the second term and subtract the first term

-2 - 3 = -5

Check with the third term and the second term

-7 - (-2) = -7 +2 = -5

The common difference is -5

4 0

3 years ago

A machine that produces a major part for an airplane engine is monitored closely. In the past, 12% of the parts produced would b

melamori03 [73]

Answer:

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Step-by-step explanation:

7 0

2 years ago

What does one eight equals

zvonat [6]

1/8 the fraction?

two eighths = 2/8=1/4

6 0

3 years ago

Read 2 more answers

Someone please help me!

Vlad1618 [11]

Answer:

A. $x \leq -16$

B. b > 11

C. $c \leq -13$

D. $x \geq -9$

Step-by-step explanation:

<u>Given the following algebraic expression;</u>

A. $\frac {3x}{4} \leq 12$

We would simplify the equation by multiplying all through by 4;

$4 * \frac {-3x}{4} \leq 12 * 4$

$-3x \leq 48$

Divide both sides by -3;

$x \leq -16$

B. 5b - 28 > 27

Rearranging the equation, we have;

5b > 27 + 28

5b > 55

Divide both sides by 5

b > 11

C. $13c \leq -169$

Divide both sides by 13

$c \leq -13$

D. $3x - 7 \geq 4x + 2$

Collecting like terms, we have;

$3x - 4x \geq 2 + 7$

$-x \geq 9$

Divide both sides by -1

$x \geq -9$

8 0

3 years ago