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4 years ago

Evaluate each expression for the given value (please answer all)

Mathematics

1 answer:

Anna [14]4 years ago

8 0

Answer:

-20a - 65 = -104 for a = 2.7

-6x + 52 = 45 for x = 1 1/6

Step-by-step explanation:

-20a - 50 for a = 2.7

Insert 2.7 in for a.

-20(2.7) - 50 = -54 - 50 = -104

-6x + 52 for x = 1 1/6

Insert 1 1/6 for x.

-6(1 1/6) + 52 = -7 + 52 = 45

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3 years ago

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3 years ago

Alaska has a land area of about 1700000 square miles Florida has a land area one tenth of the size of Alaska what is the land ar

AnnyKZ [126]

Answer:

The land area of Florida is $170,000\ mi^2$

Step-by-step explanation:

Let

x -----> the land area of Alaska in square miles

y -----> the land area of Florida in square miles

we know that

The linear equation that represent this problem is equal to

$y=\frac{1}{10}x$ ----> equation A

$x=1,700,000$ ----> equation B

substitute equation B in equation A and solve for y

$y=\frac{1}{10}(1,700,000)=170,000\ mi^2$

Remember that

Florida's land area is one-tenth the size of Alaska is the same as to say that Alaska's land area is ten times the size of Florida

8 0

3 years ago

Together Carla and Yvette drove from New York City to San Diego. The 2808 mile trip took them two weeks. Each week, they took on

Likurg_2 [28]

Answer:

234 miles a day

Step-by-step explanation:

The whole trip was for 2 weeks (7*2=14 days).

Since 1 day from each week they took rest, they drove for (14-2(1)=12 days) 12 days.

So a total of 2808 for 12 days. The average is 2808 divided by 12 days:

$\frac{2808}{12}=234$

The answer is 234 miles a day

8 0

3 years ago

The length of a shadow of a tree is 150 feet when the angle of elevation of the sun is 39°. Approximate the height of the tree.

fomenos

Answer:

The height of tree is approximately 121.5 feet.

Step-by-step explanation:

We are given following in question:

Length of shadow = 150 feet

Angle of elevation of the sun =

$\theta = 39^\circ$

The tree and the shadow forms a right angled triangle.

Thus, with the help of trigonometric relation, we can write:

$\tan \theta = \dfrac{\text{Height of tree}}{\text{Length of shadow}}$

Let x feet be the height of tree.

Putting all the values, we get,

$\tan 39^\circ = \dfrac{x}{150}\\\\0.80978 = \dfrac{x}{150}\\\\\Rightarrow x = 150\times 0.80978\\\Rightarrow x = 121.467 \approx 121.5$

Thus, the height of tree is approximately 121.5 feet.

6 0

4 years ago