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2 years ago

An angle measures 66° more than the measure of its supplementary angle. What is the measure of each angle?

Mathematics

1 answer:

Amanda [17]2 years ago

3 0

One angle would be 57 degrees, one would be 103

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The number of mosquitoes in Anchorage, Alaska (in millions of mosquitoes) as a function of rainfall (in centimeters) is modeled

GarryVolchara [31]

Answer:

7 centimeters of rain will produce the maximum number of mosquitoes (49 millions of mosquitoes)

Step-by-step explanation:

we have the function

$m(x)=-x^2+14x$

where

m(x) is the number of mosquitoes in Anchorage, Alaska (in millions of mosquitoes)

x is the rainfall (in centimeters)

This is a vertical parabola open downward

The vertex represent a maximum

The x-coordinate of the vertex represent the centimeters of rain that will produce the maximum number of mosquitoes

Convert the quadratic equation into vertex form

$m(x)=-x^2+14x$

Factor -1

$m(x)=-(x^2-14x)$

Complete the square

$m(x)=-(x^2-14x+7^2)+7^2$

$m(x)=-(x^2-14x+49)+49$

Rewrite as perfect squares

$m(x)=-(x-7)^2+49$

The vertex is the point (7,49)

therefore

7 centimeters of rain will produce the maximum number of mosquitoes (49 millions of mosquitoes)

4 0

3 years ago

One serving of a certain brand of yogurt contains 12 g of fat. The low-fat version contains 45.25% less fat per serving. How man

Paraphin [41]

Hello there! There is 45.25% less fat in the low-fat version that the other version. Percents are parts of 100. 100 - 45.25 is 54.75, which means there is still 54.75% of fat of the original. To find out the amount of fat per serving, all you have to do is multiply the original amount per serving (12) by the percent in decimal form (0.5475). 12 * 0.5475 is 6.57. There are 6.57 grams of fat in the low-fat yogurt.

3 0

3 years ago

Translate this sentence into an equation.

RSB [31]

56=22+r should be it I’m sure

3 0

3 years ago

What is the volumn of a 6 cm cube?

Liono4ka [1.6K]

Answer:the volume is 4x6x7.5 or 180cm^3

Step-by-step explanation:

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3 years ago

The Williams family writes down their

timofeeve [1]

They have driven about 240 miles a day

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2 years ago