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sammy [17]
3 years ago
14

What is the value of cos(A) in the diagram? Select one 40/9 9/40 9/41 40/41

Mathematics
1 answer:
melamori03 [73]3 years ago
4 0

Answer:

The answer is option 3.

Step-by-step explanation:

Given that the formula for Cosine Rule is cosθ = adjacent/hypotenuse. So you have to substitute the following values into the formula :

\cos(θ) =  \frac{adj.}{hypo.}

Let θ = A,

Let adj. = 9,

Let hypo. = 41,

\cos(A) =  \frac{9}{41}

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Sloan [31]

Answer:

A= 16 B=28

Step-by-step explanation:

So the ration is 4:7, you have to find multiples that have that same ratio

Multiply both numbers by 4, this should get you

16:28

16 + 28 = 44

Therefore this is the correct answer

5 0
3 years ago
Given: ABCD is a trapezoid, AB = CD, BK ⊥ AD, AK = 10, KD = 20 Find: BC AD
alexdok [17]

Answer:

<u> BC = 10 and AD = 30</u>

Step-by-step explanation:

In figure-1 , AB = CD ,BK ⊥ AD,  AK = 10,  KD = 20.

Since, line AD is sum of AK and  KD, then

AD = AK + KD

AD = 10 + 20

AD = 30

Since, BC ║AD and BK ⊥ AD then similarly we construct CL ⊥ AD

so, BC = KL and AK = LD

KL = AD - LD

KL = 20 - 10

KL = 10

Since, BC = KL then BC = 10

Hence, <u> BC = 10 and AD = 30</u>

4 0
3 years ago
Angles A and B are supplementary.Angle A has a measure of 80 degrees. What is the measure of angle B
yulyashka [42]

The sum of two supplementary angles is 180 degrees.

A+B=180.

80+B=180

B= 180-80

B=100

8 0
4 years ago
Read 2 more answers
Somebody please help​
iren [92.7K]

Answer:

Yes, No, No, No

Step-by-step explanation:

To decide whether the point lies on the circle, what you need to do it simply substituting the x and y values into the equation and check if it add up to be 25

(-5)² + 0² = 25, = RHS  [Yes]

1² + (√7)² = 8, ≠ RHS [No]

(√21)² + (-3)² = 30, ≠RHS [No]

0² + 7² = 49, ≠RHS [No]

5 0
3 years ago
How to solve for X: X-B=A
mamaluj [8]

Answer:

Step-by-step explanation:

(x−a)(x−b)=x2−(a+b)x+ab

Now, this with the third bracket.

(x2−(a+b)x+ab)(x−c)=x3−(a+b+c)x2+(ac+bc+ab)x−abc

But there’s another way to do this, which is easier. Assume the given expression is equal to 0, then, we can form a cubic equation as

x3−(sum−of−roots)x2+(product−of−roots−taken−two−at−a−time)x−(product−of−roots) , which is essentially what we got above.

5 0
4 years ago
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