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3 years ago

A 20° sector in a circle has an area of 684 yd2.

Mathematics

1 answer:

olga_2 [115]3 years ago

8 0

20 x 18 = 360

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18 x 684 yards squared = 12,312 yards squared

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Answer:

12,312 yards squared

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A fruit punch recipe requires 2 quarts pf orange juice to be mixed for every 5 quarts of apple juice. Max has 9 quarts of orange

Marrrta [24]

Answer:

22.5 quarts

Step-by-step explanation:

Let us find the ratio of orange juice to apple juice. The punch requires 2 quarts of orange juice mixed with 5 quarts of apple juice.

The ratio of orange juice to apple juice is therefore:

2 : 5 or 2/5

Max has 9 quarts of orange juice. By comparing with the ratio, this implies that:

2 / 5 = 9 / x

x = (9 * 5) / 2 = 22.5 quarts

He will need 22.5 quarts of apple juice.

6 0

3 years ago

Slope intercept form of a line that has a slope of -3/4 and passes through (4, 3)

tia_tia [17]

<h3>Explanation</h3>

First Method

We have the given slope value and the coordinate point that the graph passes through.

$y = mx + b$

where m = slope and b = y-intercept. Substitute the value of slope in the equation.

$y = - \frac{3}{4} x + b$

We have the given coordinate point as well. After we substitute the slope, we substitute the coordinate point value in the equation.

$3 = - \frac{3}{4} (4) + b \\$

Solve the equation for b-term

$3 = - 3 + b \\ 3 + 3 = b \\ 6 = b$

The value of b is 6. We substitute the value of b in the equation.

$y = - \frac{3}{4} x + 6$

Second Method

We can also use the Point-Slope form to solve the question.

$y - y_1 = m(x - x_1)$

Given the y1 and x1 = the coordinate point value.

Substitute the slope and coordinate point value in the point slope form.

$y - 3 = - \frac{3}{4} (x - 4)$

Simplify/Convert into Slope-intercept

$y = - \frac{3}{4} (x - 4) + 3 \\ y = - \frac{3}{4} x + \frac{12}{4} + 3 \\ y = - \frac{3}{4} x + 3 + 3 \\y = - \frac{3}{4} x + 6$

<h3>Answer</h3>

 $\large \boxed {y = - \frac{3}{4} x + 6}$ 

6 0

2 years ago

-45+(-30)-90 the answer of that mathematics sum

Klio2033 [76]

The answer of
-45+(-30)-90= -165

Hope this helps <3

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3 years ago

Read 2 more answers

Whch expression could be used to change 8 kilometers per hour to meters per minute

vazorg [7]

Answer:

133.33 meters per minute.

#FreeMelvin

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3 years ago

Has anyone done the segment one practice exam in geometry

konstantin123 [22]

I have done the segment 1 pratice exam

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3 years ago