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Trava [24]
2 years ago
6

A 12.0-cm segment makes a 108.0-degree angle with a 16.0-cm segment. To the nearest tenth of a cm, find the third side of the tr

iangle determined by this SAS information.
Mathematics
1 answer:
Dominik [7]2 years ago
7 0

Begin by using the cosine rule to find the unknown side.

Where a- unknown side, b is 12, c is 16 and angle in between is 108° 

The cosine rule...

        a² = b² + c² - 2bc cosA

            = 12² + 16² - (2×12×16 cos108°)

            = 518.655076

Taking the positive square root...

         a = 22.774 

         a = 22.8 cm nearest tenth

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7 pounds 0.8767 ounces

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3 years ago
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Find the value of x that will make AB<br> А<br> 9x - 40<br> В.<br> 3x + 20<br> x = [?]
Charra [1.4K]

Answer:

x = 10

Step-by-step explanation:

∵ Both angle ∠A and are corresponding angles.

∠A = ∠B

9x - 40 = 3x + 20

9x = 3x + 20 + 40

9x - 3x = 20 + 40

6x = 60

x = 60/6

x = 10

∴ x = [10]

7 0
2 years ago
The temperature has been going down at a constant rate.In 4 hours it went down 12 degrees.Which expression best shows the temper
fomenos

Answer:

<u>t = t₀ - 3n</u>

Step-by-step explanation:

Let t be the temperature and t₀ be the initial temperature of the day

Let n be the number of hours after the initial temperature ( t₀) was registered

Let -3 be the constant of change of temperature ( In 4 hours it went down 12 degrees)

Now, let's write down the expression that shows the temperature change each hour, this way:

t = t₀ - 3n

After 2 hours

t = t₀ - 3 * 2 = t₀ - 6

After 5 hours

t = t₀ - 3 * 5 = t₀ - 15

After 3 hours and 30 minutes

t = t₀ - 3 * 3.5 = t₀ - 10.5

5 0
3 years ago
3^-4 as a fraction, i need the exact value of this number as a fraction please and thank you :)
Musya8 [376]

Answer:

\frac{1}{81}

Step-by-step explanation:

Using the rule of exponents

a^{-m} = \frac{1}{a^{m} } , then

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8 0
2 years ago
Josie is training for a race the ratio of the number of minutes she wants to the number of miles she wants is 2043 she plans to
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Answer:

Josie takes 0.93 minutes to run 2 miles.

Step-by-step explanation:

We are given the following in the question:

Ratio:

Number of minutes: Number of miles = 20:43

Josie wants to run 2 miles. We have to find the number of minutes she need to run to maintain the ration.

Let x be the number of minutes Josie run.

This can be done in the following manner:

\dfrac{20}{43} = \dfrac{x}{2}\\\\\Rightarrow x = \dfrac{20}{43}\times 2\\\\\Rightarrow x = 0.93

Thus, Josie takes 0.93 minutes to run 2 miles.

8 0
2 years ago
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