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2 years ago

5

The sum of the measures of two complementary angles is 74° greater than the difference of their measures. Find the measure of ea

ch angle.

1 answer:

andrezito [222]2 years ago

5 0

Answer:

Step-by-step explanation:

90 = (90-x)-x + 74

16 = 90-2x

2x = 74

x = 37 (angle)

90-x = 53 (complement)

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A report by the US Geological Survey indicates that glaciers in Glacier National Park, Montana, are shrinking. Recent estimates

postnew [5]

Answer

a) C

b) B

c) C, E

d) 15.5

e) 0.7

f) 67.7

Step-by-step explanation

a) A linear equation can be written as $y=mx+c$ where $m$ is the slope and $c$ is the intercept on the $y$ -axis. The slope describes how $y$ changes when $x$ changes. A negative value means the it is a decreasing change. In our case, $y$ is $A$ and $x$ is $t$ . Thus, the slope of the equation is $m=-0.062$ . This means that the area of glacier is decreasing by $0.062 \text{km}{}^2 = 62000 \text{m}{}^2$ every year since 2000.

b) The $A$ -intercept (= 16.2 $\text{km}{}^2$ ) represents the area covered when $t=0$ . But $t=0$ starting from year 2000. This intercept then represents the area covered by glacier in the year 2000. Therefore, the area covered by glacier in 2000 was 16.2 $\text{km}{}^2$ .

c) $A=f(t)$ means the area covered after year 2000. Setting it to 12 means the area covered after $t$ years is 12 $\text{km}{}^2$ ). $t$ is therefore the number of years since 2000 that the total area covered will be 12 $\text{km}{}^2$ ).

d) $f(12)=16.2−0.062\times12 =16.2-0.744 = =15.456 15.5 \text{km}{}^2$ to 1 decimal place.

e) The term involving $t$ represents the disappearing area. In 12 years, the disappeared area is $0.062\times12=0.744 =0.7 \text{km}{}^2$ to 1 decimal place.

f) $f(t)=16.2−0.062t =12$

$0.062t = 16.2-12 = 4.2$

$t = \dfrac{4.2}{0.062}=67.7419\ldots =67.7$ years to 1 decimal place.

8 0

3 years ago

1. Perry ran 30 miles more than DeShawn last month. Perry ran 46 miles. Write and solve an ADDITION equation to represent how ma

a_sh-v [17]

Answer:

30+46=76

Step-by-step explanation:

so you want to draw out a model and write the two numbers and add them.

3 0

2 years ago

What is the hourly utilization rate of each resource if the bottleneck(s) work nonstop during a 10-hour day?

Bess [88]

Answer:

100%

Step-by-step explanation:

Utilization rate =

Hours worked / total working hours per day

Since the bottle works nonstop during a 10-hour day, it worked 10 hours

Utilization rate in percentage = (10/10)×100%

= 100%

6 0

2 years ago

Which is a unit rate?

stiv31 [10]

The answer A is the unit rate:)

7 0

2 years ago

Read 2 more answers

I'm not sure how to do this please help

IgorLugansk [536]

Answer:

maria will run 1.75 more miles than her goal

Step-by-step explanation:

If you multiply 2.75 to 7 days you will get 19.25. And if you subtract it by 17.5(because that's her goal) you will get 1.75.

So the answer to this question would be:

Maria will run 1.75 more mile than her goal.

7 0

3 years ago