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3 years ago

Graph the equation y = -3x on a graph

Mathematics

1 answer:

Dafna1 [17]3 years ago

3 0

Put a dot on the -3 from the y-axis and draw a straight line from left to right.

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A jogger runs 140 m due west, then changes direction for the second leg of her run. At the end of the run, she is 374 m away fro

USPshnik [31]

Answer:

The length of her second displacement = 247.12 m.

The direction of her second displacement = 31.24° from west.

Step-by-step explanation:

As per the question,

From the figure as drawn below,

Let the starting point be O. After running 140 m due west, she reached at point A.

∴ OA = 140 m

And At the end of the run, she is 374 m away from the starting point at an angle of 20° north of west.

∴ OP = 374 m

We have to find the distance AP = x.

By using the cosine rule in triangle OAP

$cos \theta = \frac{OA^{2}+OP^{2}-AP^{2}}{2\times OA\times OP}$

After putting the given value, we get

$cos 20= \frac{140^{2}+374^{2}-x^{2}}{2\times 140\times 374}$

$x^{2}=140^{2}+374^{2} - 2\times 140\times 374\times cos 20$

∴ x = 247.12 m

Hence,the length of her second displacement = 247.12 m.

Again,

By using the cosine rule in triangle OAP, we get

$cos \alpha = \frac{OA^{2}+AP^{2}-OP^{2}}{2\times OA\times AP}$

After putting the given value, we get

$cos \alpha = \frac{140^{2}+247.12^{2}-374^{2}}{2\times 140\times 247.12}$

∴ α = 148.759°

Hence, the direction of her second displacement = 180° - α = 180° - 148.759 = 31.24° from west.

8 0

3 years ago

A craftsman is making a dulcimer with the same dimensions as the one shown. The surface shown requires a special, more durable t

Bogdan [553]

Answer:

$\displaystyle A=\frac{3h^2}{2}+h$

Step-by-step explanation:

<u>Area of trapezoid</u>

Given a trapezoid shape whose parallel sides measure b1 and b2 and whose height (perpendicular to the base) is h, then the area of the trapezoid is given by

$\displaystyle A=\frac{b_1+b_2}{2}\cdot h$

The dulcimer has the following dimensions

$b_1=2h+1$

$b_2=h+1$

and height h

Thus

$\displaystyle A=\frac{2h+1+h+1}{2}\cdot h=\frac{3h+2}{2}\cdot h$

Operating

$\displaystyle A=\frac{3h^2+2h}{2}=\frac{3h^2}{2}+h$

$\boxed{A=\frac{3h^2}{2}+h}$

Is the required polynomial

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3 years ago

Which fraction is the smallest? A. 5⁄6 B. 2⁄3 C. 3⁄5 D. 11⁄15

BabaBlast [244]

Answer:

Step-by-step explanation:

5/6=0.83

2/3=0.66

3/5=0.60

11/15=0.73

by changing them to a decimal you get a better look at the amounts they are work and it puts them in a common value.From this you can see that 3/5 is the lowest fraction form the groups so your answer would be <u>C</u>

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3 years ago

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Write a simplified polynomial expression in standard form to represent the area of the rectangle below.

enyata [817]

A = w × l
A = (2x - 4) (x + 5)
Next Step Foil
2x² + 10x - 4x -20
2x² + 6x - 20

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3 years ago

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7th grade math please help me will give brainliest

Alecsey [184]

Answer: 67.27