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tamaranim1 [39]
3 years ago
12

Do this and show ur work

Mathematics
1 answer:
weeeeeb [17]3 years ago
3 0

Answer: 4.25, 15, and 38.7°

Step-by-step explanation:

Use SOHCAHTOA

Sine is opposite over hypotenuse

Cosine is adjacent over hypotenuse

Tangent is opposite over adjacent

1.) tan(28) = x/8

8*tan(28) = x

x = 4.25

2.) tan(28) = 8/x

8/tan(28) = x

x = 15

3.) tan(x) = 4/5

x = arctan(4/5)

x = 38.7°

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The equation d = 3t gives the distance, d, in meters that Liam swims with respect to time, t, in seconds.
Natasha_Volkova [10]

Answer:

Liam's rate = 3 meters per second

Edgar's rate = 3.2 meters per second

Edgar swims faster

Step-by-step explanation:

<u>Liam:</u>

The equation d=3t gives the distance, d, in meters that Liam swims with respect to time, t, in seconds.

When t=0,\ d=0.

When t=1,\ d=3.

Rate of change:

\dfrac{3-0}{1-0}=3

Liam's rate is 3 metres per second.

<u>Edgar:</u>

When t=20, \ d=64.

When t=40,\ t=128.

Rate of change:

\dfrac{128-64}{40-20}=\dfrac{64}{20}=3.2

Edgar's rate is 3.2 metres per second.

Edgar swims faster.

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3 years ago
For the triangle, select the correct order of the side lengths from least to greatest.
Andre45 [30]
M<j then m<l then m<k
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How do you write 3.21 as a proper fraction?
lesya692 [45]
You write it like 3 21/100
3 0
4 years ago
Read 2 more answers
If 8a+7b+c=9 then what is -6c-48a-42b
kati45 [8]

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3 years ago
After 5 years, a $2,450 investment is worth $3,123.75.
kondaur [170]

Answer:

5.5%

Step-by-step explanation:

To solve this problem we can use a modified version of the simple interest formula which is shown below:

r=\frac{I}{Pt}

<em>I = interest amount</em>

<em>P = principal amount</em>

<em>t = time (years)</em>

<em />

The first step is to find the interest gained from the investment.

3,123.75-2,450=673.75

Next, plug in the values into the equation:

r=\frac{673.75}{(2,450)(5)}     Multiply the bottom values

r=\frac{673.75}{12,550}         Divide the values

r=.055

The last step is to convert 0.055 into a percent:

0.055(100)=5.5

The interest rate is 5.5%

3 0
3 years ago
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