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3 years ago

In some sparsely populated areas of the United States, the speed limit on highways can be as high as 80 miles per hour (mph).

Mathematics

1 answer:

Andrew [12]3 years ago

6 0

$(B)\:\:35.8\:\text{m/s}$

Step-by-step explanation:

$80\:\dfrac{\text{mi}}{\text{hr}}×\left(\dfrac{1609\:\text{m}}{1\:\text{mi}}\right)×\left(\dfrac{1\:\text{hr}}{3600\:\text{s}}\right)$

$= 35.8\:\text{m/s}$

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In parallelogram DEFG, DH = x + 2, HF = 2y, GH = 4x - 3, and HE = 5y + 1. Find the values of x and y. The diagram is not to scal

Svetllana [295]

Answer:

x = 6, y = 4

Step-by-step explanation:

The diagonals of a parallelogram bisect with each other at the point of intersection with equal sides across the point of intersection.

DH = HF ⇒ x + 2 = 2y
GH = HE ⇒ 4x - 3 = 5y + 1

x + 2 = 2y,

4x - 3 = 5y + 1

x = 2y - 2,

4(2y - 2) - 3 = 5y + 1

x = 2y - 2,

8y - 8 - 3 = 5y + 1

x = 2y - 2,

8y - 11 = 5y + 1

x = 2y - 2,

8y - 5y = 11 + 1

x = 2y - 2,

3y = 12

x = 2y - 2,

y = 4

x = 2*4 - 2,

y = 4

x = 6,

y = 4

5 0

1 year ago

Find the diagonal of a square whose sides are of the given measure Given = 5"

Bess [88]

Answer:

im pretty sure that the answer would be 5

Step-by-step explanation:

6 0

3 years ago

Need to round these numbers to the nearest ten, please help.

Y_Kistochka [10]

$1.\ 700\\
2. \ 210\\
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5.\ 3940\\
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4 0

3 years ago

2x-9+4x+8 The answer choices are: A 8x+17 B 8x-72 C 6x-1 D -7x+12x

Marina86 [1]

Answer: 6x-1

Step-by-step explanation:

6 0

3 years ago

Find the value of the missing coefficient in the equation Ax-2y=12 so that the line will have the slope -3

sveta [45]

To find the missing coefficient, first, write the equation in slope-intercept form:

$Ax-2y=12$

-Subtract Ax

$\begin{gathered} Ax-Ax-2y=12-Ax \\ -2y=-Ax+12 \end{gathered}$

-Divide both sides by -2

$\begin{gathered} -\frac{2y}{-2}=-\frac{Ax}{-2}+\frac{12}{-2} \\ y=\frac{1}{2}Ax-6 \end{gathered}$

The slope of the line is expressed by the coefficient 1/2A, this value should be "-3", then:

$\begin{gathered} \frac{1}{2}A=-3 \\ \frac{1}{2}A\cdot2=(-3)\cdot2 \\ A=-6 \end{gathered}$

For the slope of the line to be m=-3, the coefficient must be A=-3

4 0

1 year ago