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UNO [17]
3 years ago
5

Need help with algebra 2!

Mathematics
1 answer:
melomori [17]3 years ago
4 0

Answer:

x=38.56

Step-by-step explanation:

First, we'll solve for the missing angle.

The interior angles of a triangle add up to 180, so let's make an equation.

35+90+x=180 \\ \\ 125+x=180 \\ \\ x=55

Now we can use the law of sines.

\frac{a}{sin(A)}=\frac{b}{sin(B)}

Where the lowercases are the side lengths and the uppercases are the angle measures.

Plug in the values we know.

\frac{27}{sin(35)}=\frac{x}{sin(55)}

Solve using a calculator.

x=38.55999618 \\ \\ x=38.56

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What is the relationship between area in the scale drawing and area on the on the actual tennis court if the scale is 1in.: 5ft.
sveticcg [70]

Given:

Length of the scale = 15.6 in.

Width of the scale = 7.2 in.

Scale of drawing = 1 in. : 5ft.

To find:

The ratio of area of the actual court to the area of the drawing (as a unit rate).

And to check whether it is the same as the ratio of length of the actual court to the length of the drawing.

Step-by-step explanation:

We have,

1 in. = 5ft.

Now, using this scale we get

15.6 in. = (15.6 × 5) ft =78 ft.

7.2 in. = (7.2 × 5) ft = 36 ft.

So, the actual length and width of tennis court are 78 ft and 36 ft respectively.

Area of actual tennis court is

Area=length\times width

Area=78\times 36

Area=2808\text{ ft}^2

The area of drawing is

Area=15.6\times 7.2

Area=112.32\text{ in.}^2

Now, ratio of area of the actual court to the area of the drawing (as a unit rate) is

\dfrac{2808}{112.32}=\dfrac{25}{1}=25:1

Ratio of area is 25:1 and ratio of length is 5:1 both area not same.

Therefore, the ratio of area of the actual court to the area of the drawing (as a unit rate) is 25:1.

7 0
3 years ago
Brittany will be working full time this summer to save for her goal of having $10,000 by the time shes 21. Brittany has an accou
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Answer:

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7 0
2 years ago
Help me out please thank you
neonofarm [45]

Answer:

1. 12

2. 4

3. 24

4. 30

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7 0
3 years ago
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Help!!!!!!!! i have no clue
siniylev [52]

Answer: Non-proportional

Step-by-step explanation:

The unit rate for the gas per gallon is $3.17. You want to find out if that is equal to the amount you would pay for 10 gallons at once. If you multiply the unit rate by ten, you would get 10 gallons = $31.70

So...you know that it is not proportional

6 0
3 years ago
-10 = y/11 - 13<br><br> solve for y
Flauer [41]

Answer:

10=y/11-13

We move all terms to the left:

-10-(y/11-13)=0

-y/11+13-10=0

We multiply all the terms by the denominator

-y+13*11-10*11=0

We add all the numbers together, and all the variables

-1y+33=0

We move all terms containing y to the left, all other terms to the right

-y=-33

y=-33/-1

y=+33

6 0
2 years ago
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