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3 years ago

Use the low of Cosines to solve the given triangle. Round your answer to two decimal places. a = 51, b = 21, c = 68

1 answer:

7 0

Using the cosine rule, the measure of the triangles is a = 51, b = 21, c = 68, A = 30.37°, B = 12.02° and C = 137.61°

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Cosine rule is given as:

a² = b² + c² - 2bc * cosA

Given that a = 51, b = 21, c = 68, hence:

51² = 21² + 68² - 2(21)(68) * cosA

A = 30.37°

21² = 51² + 68² - 2(51)(68) * cosB

B = 12.02°

68² = 21² + 51² - 2(21)(51) * cosC

C = 137.61°

Using the cosine rule, the measure of the triangles is a = 51, b = 21, c = 68, A = 30.37°, B = 12.02° and C = 137.61°

Find out more on equation at: brainly.com/question/2972832

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For exercises 73-76,give the fraction listed that is nearest on the number line to that decimal

Arturiano [62]

Answer:

-3

Step-by-step explanation:

3 0

4 years ago

1) How many seconds are in three days?

Natasha_Volkova [10]

Answer:

259200 seconds

The conversion factor from days to seconds is 86400, which means that 1 day is equal to 86400 seconds:

1 d = 86400 s

To convert 3 days into seconds we have to multiply 3 by the conversion factor in order to get the time amount from days to seconds. We can also form a simple proportion to calculate the result:

1 d → 86400 s

3 d → T(s)

Solve the above proportion to obtain the time T in seconds:

T(s) = 3 d × 86400 s

T(s) = 259200 s

The final result is:

3 d → 259200 s

We conclude that 3 days is equivalent to 259200 seconds:

3 days = 259200 seconds

<em><u>Hope this helps :)</u></em>

7 0

3 years ago

Read 2 more answers

0.10x + 185 = 0.08x + 250

geniusboy [140]

0.10x - 0.08x = 250 - 185
0.02x = 65
x = 3250

6 0

3 years ago

What is the area of a semi circle that has a diameter of 1 1/2?

SVEN [57.7K]

Answer:

$A=0.8836$

Step-by-step explanation:

Area of circle:

$\pi r^2$

By using the area of a circle, we can get the area of a semicircle:

$\frac{\pi r^2}{2}$

Let's convert the mixed fraction to an improper fraction and then a decimal:

$1\frac{1}{2}$ = $\frac{3}{2}$ = $1.5$

Now, we solved for the diameter, to get the radius, we need to divide the diameter by 2:

$\frac{1.5}{2} =0.75$

Now we have the radius, so we can plug in our values and find the area:

$\frac{\pi0.75^2}{2} = 0.88357293$

$A=0.88357293$

5 0

3 years ago

Read 2 more answers

Given: mAngleTRV = 60° mAngleTRS = (4x)° Prove: x = 30 3 lines are shown. A line with points T, R, W intersects with a line with

zmey [24]

The reason behind the statement m∠TRS + m∠TRV = 180° is; Angle Addition Postulate

<h3>How to use angle addition postulate?</h3>

Angle addition postulate states that if D is the interior of ∠ABC, therefore, the sum of the smaller angles equals the sum of the larger angle, which from the attached image is;

m∠ABD + m∠DBC = m∠ABC.

From the attached image, we want to prove that x = 30°.

Now, T is the interior of straight angle ∠VRS.

m∠VRS = 180° (straight line angle)

Thus, from angle addition postulate, we can say that;

m∠TRS + m∠TRV = 180°.

Read more about two column proofs at;brainly.com/question/1788884

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7 0

2 years ago