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2 years ago

Find the slope of the line that passes through \left(10,8\right)(10,8) and \left(1,9\right)(1,9).

Mathematics

1 answer:

sdas [7]2 years ago

7 0

Answer:

m = -1/9

Step-by-step explanation:

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What is the area of this figure

N76 [4]

Answer:

153.86

Step-by-step explanation:

Divide the diameter by 2 to find the radius

14/2=7

A=3.14( $7^{2}$ )

A=3.14(49)

A=153.86

6 0

3 years ago

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Sedaia [141]

Answer:

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3 years ago

Let f(x)=3(12)x+1. Which is equal to f(1)?

aalyn [17]

Answer:

just substitute the value of x as 1

f(x)=3(12)x+1

f(1)=3(12)(1)+1

f(1)=36+1

f(1)=37

5 0

3 years ago

In ΔNOP, the measure of ∠P=90°, the measure of ∠N=59°, and PN = 7.4 feet. Find the length of OP to the nearest tenth of a foot.

lina2011 [118]

Answer:

12.3 feet.

Step-by-step explanation:

As we are given that $\triangle NOP$ is an right angled triangle.

$\angle P = 90 ^\circ \\\angle N = 59 ^\circ\\Side\ PN = 7.4 \text{ feet}$

And we have to find out the value of side OP to the nearest tenth of a foot by rounding off the value as seen in the attached figure as well.

By using Trigonometric functions in a right angled $\triangle$ , we know that:

$tan \theta = \frac{Perpendicular}{Base}$

Here, $\theta$ is $\angle N$ , Perpendicular is side OP and Base is side PN.

So, $tan 59^\circ = \frac{OP}{PN}$

$\Rightarrow OP = PN \times tan59^\circ$

Putting the values of PN and $tan59^\circ$ .

$OP = 1.66 \times 7.4\\\Rightarrow OP = 12.3 ft$

Hence, the value of OP is $12.3\ feet$ .

8 0

3 years ago

An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 340 feet of antique

KIM [24]

Answer:

The dimensions of the garden is 102 feet by 68 feet

Step-by-step explanation:

Here, we want to get the width and length of the garden

The perimeter is represented by the length of the fencing

From the question;

w = 2l/3

The formula for the perimeter is;

P = 2(l + w)

Thus;

340 = 2(l + 2l/3)

170 = (l + 2l/3)

Multiply through by 3

510 = 3l + 2l

5l = 510

l = 102 feet

w = 2/3 * l

w = 2/3 * 102

w = 68 feet

7 0

3 years ago