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WITCHER [35]
2 years ago
15

If cosA=4/5 and cosB=3/5 then find a,b,c

Mathematics
2 answers:
dexar [7]2 years ago
4 0
Ansnajsnandndnxnxbdsjsjsj
aliya0001 [1]2 years ago
3 0

Answer:

a = 3, b = 4, c = 5

Step-by-step explanation:

Assuming we're working with a right triangle, where c is the hypotenuse, then using the definition of the cosine being the adjacent side over the hypotenuse, then we know:

a = 3, because it is the side adjacent to B

b = 4, because it is the side adjacent to A

c = 5, because it is the denominator in bot fractions

This of course assumes that there is no additional ratio in place.  For example, if the lengths were instead 8, 6 and 10 respectively, then the cosines given would still be 4/5 and 3/5.  Truthfully these only tell relative sizes of the sides, and not their absolute sizes.

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Select the correct answer. A new building in the shape of a square pyramid is to be constructed. The slant height will be five t
marysya [2.9K]

From the information given about the square pyramid, the maximum base length of the building is 67.42 cm.

<h3>How do you determine the maximum side length?</h3>

We are given the following  details  are:

Base = b

Slant height (l) = 5b

The lateral surface area is calculated using:

L = 2bl

So, we have:

L = 2 * b * 5b

Evaluate the product

L = 10b²

The total surface area is calculated using:

T = L + b²

So, we have:

T = 10b² + b²

Evaluate the sum

T = 11b²

Recall that the maximum surface area is 50,000 square feet

So, we have:

11b² = 50000

Divide both sides by 11

b² = 50000/11

Taking the square root of both sides, we have

b = 67.42

Hence, the maximum base length of the building is 67.42 cm

Learn more about square pyramids at:

brainly.com/question/12146629

#SPJ1

8 0
2 years ago
Wright et al. [A-2] used the 1999-2000 National Health and Nutrition Examination Survey(NHANES) to estimate dietary intake of 10
xxMikexx [17]

Complete question :

Wright et al. [A-2] used the 1999-2000 National Health and Nutrition Examination Survey NHANES) to estimate dietary intake of 10 key nutrients. One of those nutrients was calcium in all adults 60 years or older a mean daily calcium intake of 721 mg with a standard deviation of 454. Usin these values for the mean and standard deviation for the U.S. population, find the probability that a randonm sample of size 50 will have a mean: (mg). They found a) Greater than 800 mg b) Less than 700 mg. c) Between 700 and 850 mg.

Answer:

0.10935

0.3718

0.9778

0.606

Step-by-step explanation:

μ = 721 ; σ = 454 ; n = 50

P(x > 800)

Zscore = (x - μ) / σ/sqrt(n)

P(x > 800) = (800 - 721) ÷ 454/sqrt(50)

P(x > 800) = 79 / 64.205295

P(x > 800) = 1.23

P(Z > 1.23) = 0.10935

2.)

Less than 700

P(x < 700) = (700 - 721) ÷ 454/sqrt(50)

P(x < 700) = - 21/ 64.205295

P(x < 700) = - 0.327

P(Z < - 0.327) = 0.3718

Between 700 and 850

P(x < 850) = (850 - 721) ÷ 454/sqrt(50)

P(x < 850) = 129/ 64.205295

P(x < 700) = 2.01

P(Z < 2.01) = 0.9778

P(x < 850) - P(x < 700) =

P(Z < 2.01) - P(Z < - 0.327)

0.9778 - 0.3718

= 0.606

3 0
2 years ago
Need help please anyone
Dafna11 [192]

Answer:

70°

Step-by-step explanation:

The minor angle of AB forms a straight line with angle x. When summed up it equals 180°.

minor angle of AB + x° = 180°

110° + x° = 180°

x° = 180° - 110°

= 70°

Enjoy!!!

5 0
3 years ago
What is the slope-intercept equation of this line?
svet-max [94.6K]
Your answer would be A. y = -3 + 4

the line intercepts the y axis at +4
and the line decreases 3 units down and one unit to the right which makes the slope ( rise over run) -3/1 but you would just say -3
8 0
3 years ago
How do you Simplify this expression in algebra?<br><br> 9x + 2x (5 + 4) - 2(5x + 4x)
Minchanka [31]

One can solve this by first using order of operations, and then combining like terms.


First is parenthesis


9x + 2x(9) - 2(9x)


Now we do the multiplication


9x + 18x - 18x


Now we combine like terms


9x

3 0
3 years ago
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