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alexandr402 [8]

3 years ago

11

What line will most likely have a slope of 10

1 answer:

Romashka [77]3 years ago

3 0

Answer:

first one

Step-by-step explanation:

You might be interested in

Given \tan A = \frac{7}{{24}}, find the cos B

Natali5045456 [20]

We are given

$tan(A)=\frac{7}{24}$

we know that

$tan(A)=\frac{opposite}{adjacent}$

so, we get

opposite =7

adjacent=24

now, we can find hypotenuse

$hypotenuse=\sqrt{7^2+24^2}$

$hypotenuse=25$

now, we can draw triangle and then switch vertices accordingly

we can find cos(B) using second triangle

$cos(B)=\frac{adjacent}{hypotenuse}$

In second triangle:

adjacent=7

hypotenuse =25

so, we get

$cos(B)=\frac{7}{25}$ ................Answer

8 0

3 years ago

A catapult launches a boulder with an upward velocity of 120 ft/s. The height of the boulder, h,

Vlad1618 [11]

Answer:

Reaches a maximum height of 235.00 feet in 3.75 seconds.

Step-by-step explanation:

The height of the boulder, h, in feet after t seconds is given by the function is given by :

$h=-16t^2+120t+10$ .....(1)

For maximum height, put $\dfrac{dh}{dt}=0$

i.e.

$\dfrac{d(-16t^2+120t+10)}{dt}=0\\\\-32t+120=0\\\\32t=120\\\\t=3.75\ s$

Put t = 3.75 in equation (1). So,

$h=-16(3.75)^2+120(3.75)+10\\\\h=235\ \text{feet}$

So, the boulder's maximum height is 235 feets and it takes 3.75 s to reach to its maximum height.

3 0

3 years ago

Find the dimensions of a rectangle with an area of 100 square feet that has the minimum perimeter.

STatiana [176]

The polygon with the shortest perimeter for a given area is a regular polygon. The regular 4-sided polygon is the square.

The side length of the square with an area of 100 ft² is √(100 ft²) = 10 ft.

The rectangle with the minimum perimeter for an area of 100 ft² is 10 ft by 10 ft.

8 0

3 years ago

Write and graph an equation to represent the situation.

photoshop1234 [79]

Distance=amount of gas times miles per gallon
distance=y
amount of gas=x
mpg=?

given
y=300
x=10

300=10 times ?
divide both sidesj by 10
30=?

equation is
y=x times 30 or
y=30x

5 0

3 years ago

Find the solution of the system of equations.<br> 10x+10y=40 <br> 5x+3y=8

ddd [48]

Answer:

x = -2 & y = 6

Step-by-step explanation:

$10x+10y=40$

$10x+10y+ -10y=40+-10y$

$10x=-10y+40$

$\frac{10x}{10} =\frac{-10y+40}{10}$

$x=-y+4$

$5x+3y=8$

$5(-y+4)+3y=8$

$-2y+20=8$

$-2y+20+-20=8+-20$

$-2y=-12$

$\div2$

$y=6$

$x=-y+4$

$x=-6+4$

$x=-2$

Hope this helps.

7 0

2 years ago