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3 years ago

Solve for x. Round to the nearest tenth of a degree, if necessary

Mathematics

1 answer:

NARA [144]3 years ago

5 0

Answer:

29°

Step-by-step explanation:

cos x = 84/98

x = cos-1(84/98)

x = 28.9

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Serhud [2]

Letter B. Have a nice day

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4 years ago

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If 6 times a number is added to -4, the result is 10 times the number. Find the number.

andrew11 [14]

the number is - 1

let the number be n then 6 times the number is 6n and added to -4 is

- 4 + 6n = 10n ( equal to 10 times the number )

subtract 6n from both sides

- 4 = 4n ( divide both sides by 4 )

$\frac{-4}{4}$ = n , hence n = - 1

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3 years ago

What is the length of AC

meriva

Hi!
This is a fun one, as it delves into basic trigonometry.

We're going to use the Pythagorean theorem here, which says that for right triangles where "c" is the hypotenuse,

a² + b² = c²

We have to split this large triangle into two parts, both of which are right triangles. (This is why they drew a line in the middle to tell you that the larger triangle is composed of two right triangles.)

Let's do the one on the right first.

We know that the length of the hypotenuse is 10, and that the length of one of the legs is 6.5. If we plug this into our equation, we'll get the length of the other leg. I'm choosing "b" to be 6.5, but it really doesn't matter if you pick "a" or "b", so long as you reserve "c" for the hypotenuse (longest side).

a² + 6.5² = 10²
a² + 42.25 = 100
a² = 57.75
√a² = √57.75
a ≈ 7.6

Therefore, the length of DC is about 7.6.

Find the length of AD using the same method (7.5 is the hypotenuse "c", and 6.5 is one of the legs "a" or "b"). Then, once you have AD, add the lengths of AD and DC to get AC.

Have a great one!

7 0

3 years ago

There are three options for fans purchasing a band's new release CD. They can purchase the CD, a premium CD bundle, or a deluxe

cluponka [151]

Answer:

The price of CD's = $15

The price of deluxe bundles = $85

The price of premium bundles. = $ 35 ....

Step-by-step explanation:

Let c represents the number of CD's

Let d represents the number of deluxe bundles

Let p represents the number of premium bundles.

Now according to the given statement:

c = $15

d = c+2p =

d = 15+2p --------equation 1

455c+87p+35d = $12,845 --------equation 2

Now substitute the value of d in equation 2 to find the value of p

455c+87p+35d = $12,845

455(15)+87p+35(15+2p) = $12,845

6825+87p+525+70p=$12,845

Now combine the like terms:

6825+157p+525 = $12,845

Now shift all the like terms to the R.H.S

157p= 12845-6825-525

157p = 5495

Divide both sides by 157

157p/157 = 5495/157

p = 35

Now substitute the value p =35 in equation 1.

d = 15+ 2p

d = 15+2(35)

d = 15+70

d = 85

Therefore we have found that,

The price of CD's = $15

The price of deluxe bundles = $85

The price of premium bundles. = $ 35 ....

4 0

3 years ago

If AC=36 and BC= 18, find AD. Round to the nearest tenth, if necessary.

navik [9.2K]

Answer:

C. 27

Step-by-step explanation:

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3 years ago

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