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valkas [14]
3 years ago
10

What is the degree measure of x in this triangle?

Mathematics
1 answer:
Crank3 years ago
4 0
So this is trig, and when it comes to right (90°) triangles, it's imperative that you know:
SOH-CAH-TOA

Sine (x) = Opposite/Hypotenuse
Cosine (x) = Adjacent/Hypotenuse
Tangent (x) = Opposite/Adjacent

*hypotenuse is always the largest side, and the one opposite the 90° angle in right triangles

therefore we'll use SOH, because the opposite of x (O) and the hypotenuse (H) are given:

Sine (x) = Opposite/Hypotenuse
Sine (x) = 32/58 = 16/29 = 0.552
Sine (x) = 0.552
now we use something called arc-sine, or
{(sin)}^{ - 1}
it's basically a fancy function of most advanced calculators, so we'll plug it in as:
x =  {(sin)}^{ - 1} (0.552)
x = 33.49° --> answer B) is correct
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192

Step-by-step explanation:

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2 years ago
Claire has 38 yards of material to make costumes for the school play.
NemiM [27]

Answer:

16

Step-by-step explanation:

38 divided by 2 3/8 is 16 and 16 times 2 3/8 is 38

3 0
2 years ago
Customers at the Palace Pro Shop receive a 10% discount if they are members. All customers must pay 7% in sales tax. The functio
11111nata11111 [884]

Answer:

The total amount a member pays for an item with a regular price of x dollars is T (x) = 0.963<em>x</em>.

Step-by-step explanation:

Key points:

  • Discount is subtracted from the regular price of an item.
  • Sales tax is added to the regular price of an item.

It is provided that the customers receive a 10% discount if they are members and all customers must pay 7% in sales tax.

Two functions are provided are:

f (x) = 0.90<em>x </em>; the price of an item after the 10% member discount

g (x) = 1.07<em>x </em>; the total amount customers pay for a purchase after sales tax is applied.

Compute the total amount a member pays for an item with a regular price of x dollars as follows:

T (x) = Discount × Sales Tax

       = 0.90 × 1.07 × <em>x</em>

       = 0.963<em>x</em>.

Thus, the total amount a member pays for an item with a regular price of x dollars is T (x) = 0.963<em>x</em>.

3 0
3 years ago
Solve for c. <br>3(c + 2) = 9<br> C=​
slega [8]
C= 1 because 1+2= 3 3x3 = 9 so c equals 1
7 0
3 years ago
A motorboat travels 448 kilometers in 8 hours going upstream and 440 kilometers in 5 hours going downstream. What is the rate of
liubo4ka [24]

9514 1404 393

Answer:

  • boat: 72 km/h
  • current: 16 km/h

Step-by-step explanation:

The speed difference between boat and current is the upstream rate:

  (448 km)/(8 h) = 56 km/h

The sum of speeds of boat and current is the downstream rate:

  (440 km)/(5 h) = 88 km/h

The rate of the boat is half the sum of these:

  (56 +88)/2 = 72 . . . km/h

The rate of the current is half their difference:

  (88 -56)/2 = 16 . . . km/h

The rate of the boat is 72 km/h; the rate of the current is 16 km/h.

4 0
3 years ago
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