I have a problem from precalculus cosx/1-tanx +sinx/1-cosx =cosx+sinx prove the identity

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Answer 1

Answer:

Answer:

see attachment

Step-by-step explanation:

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A triangle has a area of 36 square feet. if the height is 6 feet more than it's base, what are its height and base

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The base and height of the triangle are 6 and 12 feet respectively.

What is the perimeter of a triangle ?

The perimeter of a triangle is sum of the lengths of it's sides.

According o the given question A triangle has area of 36 square feet.

Also given that the height is 6 feet more than it's base.

Assuming base of the triangle to be b.

∴ Height of the triangle (h) = (b+6).

We know area of a triangle is (1/2)×base×height.

∴ (1/2)×b×(b+6) = 36.

b² + 6b = 72.

b² + 6b - 72 = 0.

b² + 12b - 6b - 72 = 0.

b(b+12) -6(b+12) = 0.

b - 6 = 0 OR b + 12 = 0.

b = 6 OR B = -12. ( -12 is not applicable since length can't be negative )

So, The base of the triangle is 6 feet.

∴ Height is 6 + 6 = 12 feet.

learn more about triangles here :

brainly.com/question/16886469

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base: 6
height 12
because 6+12 is 18 and 18 times 2 is 36

1) 2x + 8y = 20 what's the solution so confused
y = 2

Answers

if y is equal to 2 then you can find x by putting 2 for y so you will have:
2x + 8(2) = 20
2x + 16 = 20
2x = 20 - 16
2x = 4
x = 4/2
x=2 :)))
i hope this is helpful
have a nice day

2x + 8y = 20
y = 2

Substitute y with its value.

2x + 8y = 20
2x + 8(2) = 20
2x + 16 = 20
2x = 20 - 16
2x = 4
x = 4/2
x = 2

x = 2; y = 2

2x + 8y = 20
2(2) + 8(2) = 20
4 + 16 = 20
20 = 20

What is the probability that a number selected at random from the set {2, 3, 7, 12, 15, 22, 72, 108} will be divisible by both 2 and 3 ?F. 1/4
G. 3/8
H. 3/5
J. 5/8
K. 7/8

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Total amount of numbers in the set = 8 .

Total amount that are divisible by both 2 and 3 = 3 .

So the probability of picking one of them is 3/8 = 37.5 percent.

$|\Omega|=8\n |A|=3\n P(A)=(|A|)/(|\Omega|)\n P(A)=(3)/(8)$

Find the x- and y- intercept of the line -3x+9y=18

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x-intercept (-6,0)

y-intercept (0,2)

Please help. Full explanation if you can.1. The ratio of boots to sandals in a shoe store is 8:3. If there are 245 more boots than sandals in the store, how many boots are there??

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392 boots. If you divide everything into "sets" of an unknown amount, there are 5 more "sets" of boots than sandals, also known as the 245 boots. So if you divide 245 by 5, you'll get the number of items in a "set". Then just multiply by 8 from the 8:3 ratio. If you check it, it will come out to 392 boots to 147 sandals, which I think is ridiculous since sandals are supposed to come in pairs so you should never have a odd number. But anyway, 392 - 147 = 245

Arleen has a gift card for a local lawn and garden store. She uses the gift card to rent a tiller for 4 days. It costs $35 per day to rent the tiler. She also buys a rake for $9. What is the change in the value of her gift card

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She has $149 less of what she had on the gift card.

$149 less than what she had on her gift card

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