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Reika [66]
4 years ago
7

Use the Law of Cosines to find the missing angle. Find m∠B, given a = 11, b = 12, and c = 17.

Mathematics
1 answer:
vladimir1956 [14]4 years ago
5 0
B^2=a^2+c^2-2ac*cosB

cosB=(a^2+c^2-b^2)/(2ac)

B=arcos[(a^2+c^2-b^2)/(2ac)]

B=44.664924531140738644131908835392

B≈44.7
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What is the length of AC? What is the measure of angle A? What is the measure of angle B?
kipiarov [429]

Answer/Step-by-step explanation:

✔️Find AC using Pythagorean Theorem:

AC² = 25.2² - 11.3²

AC² = 507.35

AC = √507.35

AC = 22.5 (nearest tenth)

✔️Find m<A using trigonometric ratio:

Reference angle = A

Opp = 11.3

Hyp = 25.2

Sin(A) = opp/hyp

Sin(A) = 11.3/25.2

A = sin^{-1}(11.3/25.2)

A = 26.6° (nearest tenth)

✔️Find m<B using trigonometric ratio:

Reference angle = B

Adj = 11.3

Hyp = 25.2

Cos(A) = adj/hyp

Cos(A) = 11.3/25.2

A = cos^{-1}(11.3/25.2)

A = 63.4° (nearest tenth)

6 0
3 years ago
if f(x)=2(x)^2+5sqrt(x+2), complete the follwoing statement ( round your answer to the nearest hundreth) : f(0)=_____
Maslowich

Answer:

f(0)=7.07

Step-by-step explanation:

We have the function f(x)=2(x)^2+5\sqrt{(x+2)}

In this case we want to find the value of f0)

To find f(0) you must replace the x in the function with the number 0 and solve as shown below

f(0)=2(0)^2+5\sqrt{(0+2)}

f(0)=0+5\sqrt{(0+2)}

f(0)=5\sqrt{(2)}

Therefore

f(0)=7.07

5 0
4 years ago
Otto used 5.5 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can
timurjin [86]

This situation of the recipe can be represented as y=x+5.5 and it is expected that x is ≥ 0 and y is ≥ 5.5.

<h3>What is the equation for this situation?</h3>

It is known the total amount of flour (y) is equivalent to the total amount of whole wheat flour (5.5) added to the total white flour (x). Therefore, the equation is:

y = x + 5.5

The possible values are

x = It is expected x is equalthan 0 or greater to it since the minimum amount of white flour that can be added is 0.

y = It is expected y is equal than 5.5 or greater to it since even if no

white flour is added the minimum total is 5.5.

Learn more about equation in:

brainly.com/question/10413253

#SPJ1

4 0
2 years ago
Which angle is congruent to ^^^
Montano1993 [528]

Answer:

Step-by-step explanation:

∠4=∠1

6 0
3 years ago
A woman has three skirts, five shirts, and four hats. How many different outfits can she wear if she picks one skirt, one shirt,
Aleksandr [31]

Answer:

3?

Step-by-step explanation:

She has 3 skirts and that is the least amount of clothing and you need that to make a full outfit.

3 0
3 years ago
Read 2 more answers
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