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3 years ago

In ∆ABC if AB = 6 cm , BC = 8cm, AC = 10 cm then value of ∠B is ________

Mathematics

1 answer:

Fudgin [204]3 years ago

5 0

Answer:

90 degrees

Step-by-step explanation:

B is the corner and angle opposite of the side AC.

so, AC is becoming side c, and the other two are a and b (it does not matter which is which).

we use the enhanced Pythagoras formula for general triangles

c² = a² + b² - 2ab×cos(C)

in our example the angle C is named B.

but other than that we simply calculate

10² = 6² + 8² - 2×6×8×cos(B)

100 = 36 + 64 - 96×cos(B)

100 = 100 - 96×cos(B)

0 = -96×cos(B)

cos(B) = 0

B = 90 degrees

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Please answer asap!!!!

galina1969 [7]

Answer:

B. 126 degrees

Step-by-step explanation:

lets say the angle is x

the equation we have here is the 8th graders divided by the total number of students is equal to x divided by 360 degrees since a circle has a 360 degree angle.

The equation is:

350/1000=x/360

in number form.

350/1000= 0.35 = 35%

so now we know x/360=35%

126/360=35%

so the answer would be 126 degrees.

<em>Hope that was helpful, if it was please rate it for anyone else who is asking the same question.</em>

4 0

3 years ago

Find the intercept(s) of the following equation.<br> y = 2x^2-8

grin007 [14]

X intercepts- (2,0) and (-2,0)
y intercept- (0,-8)

5 0

3 years ago

What is the quotient of 2.408 • 10^24 divided by 6.02 • 10^23

Illusion [34]

Answer:

2.408

Step-by-step explanation:

8 0

3 years ago

For a normal distribution with μ=500 and σ=100, what is the minimum score necessary to be in the top 60% of the distribution?

STatiana [176]

Answer:

475.

Step-by-step explanation:

We have been given that for a normal distribution with μ=500 and σ=100. We are asked to find the minimum score that is necessary to be in the top 60% of the distribution.

We will use z-score formula and normal distribution table to solve our given problem.

$z=\frac{x-\mu}{\sigma}$