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4 years ago

There are two spinners. Each spinner has 10 equal sectors labeled with the numbers 1 through 10.

1 answer:

3 0

There are 4 prime numbers from 1 to 10: 2, 3, 5, and 7. This means that there are 4 ways to choose the first outcome. There are 5 composite numbers from 1 to 10: 4, 6, 8, 9, and 10 (1 is just 1). So, you just multiply the two numbers together because each depends on each: 4 * 5 = 20 outcomes.

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A batter strikes a baseball. the equation y = -0.005^2 +0.7x + 3.5 models its path, where x is the horizontal distance, in feet,

hram777 [196]

Answer:

(D)144.8 feet

Step-by-step explanation:

Given the equation which models the path of the baseball

$y = -0.005x^2 +0.7x + 3.5$

where x is the horizontal distance, in feet, the ball travels and y is the height, in feet, of the ball.

To determine how far from the batter the ball will land, we determine the distance x at which the height, y=0.

$y = -0.005x^2 +0.7x + 3.5=0$

$-0.005x^2 +0.7x + 3.5=0$

We use the quadratic formula to solve.

In the quadratic equation above, a=-0.005, b=0.7, c=3.5

$x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a} \\=\dfrac{-0.7\pm\sqrt{0.7^2-4(-0.005*3.5)} }{2*-0.005} \\=\dfrac{-0.7\pm\sqrt{0.49+0.07} }{-0.01}\\=\dfrac{-0.7\pm\sqrt{0.56} }{-0.01}\\x=\dfrac{-0.7+\sqrt{0.56} }{-0.01} \: or\: x=\dfrac{-0.7-\sqrt{0.56} }{-0.01}\\x=-4.83 \: or\: x=144.83$

Since x cannot be negative, x=144.8 feet to the nearest tenth of a foot.

The correct option is D.

6 0

3 years ago

A triangle has sides with lengths of 3 meters, 3 meters, and 5 meters. Is it a right triangle?

malfutka [58]

Answer:

Step-by-step explanation:agacat

7 0

3 years ago

10. Rewrite into slope-intercept form 7x + y = 25

ch4aika [34]

To write in slope-intercept form, you first need to get y by itself. To do this, subtract 7x from both sides of the equation.

Doing this gets you: y = 25 - 7x

Now that y is by itself, remember that slope-intercept form looks like this: y = mx + b

So, let's switch the right side.

y = -7x + 25

Slope intercept form is: y = -7x + 25

Rules for y in Slope-Intercept form:

y must be positive

y must be by itself (so, not 2y, or anything with it... just y)

8 0

3 years ago

The Student Council is selling raffle tickets to raise money for the Winter Dance. They have a total of 275 tickets to sell and

Amiraneli [1.4K]

Answer:

226

Step-by-step explanation:

To find the percentage of a given value, firstly convert to a decimal by dividing by 100:

82 ÷ 100 = 0.82

Now, multiply this decimal by the number of tickets:

275 x 0.82 = 225.5

Because you can't sell half a ticket, round up.

This means the total of tickets they need to sell is 226.

Hope this helps!

6 0

3 years ago

1. Name angle 'x' 2. calculate the size of angle 'y'

Burka [1]

Answer:

Step-by-step explanation:

x = 35° (opposite agles)

y = 180 - 35 - 75

y = 70

-----------------------

check 35 + 75 + 70 = 180°

the answer is good

7 0

3 years ago