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3 years ago

One side of a triangle is twice as long as a second side. The third

Mathematics

1 answer:

natta225 [31]3 years ago

6 0

Answer:

The longest possible values of the other two sides are 7 ft and 14 ft

Step-by-step explanation:

Let one side of the triangle be x and the other, 2x

Perimeter of a triangle = sum of all sides; i.e x+2x+33

Therefore, x+2x+12=33

Solve for x;

3x=33-12

3x=21

Divide both sides by 3; x=21/3

therefore, x=7 and

2x= (2*7) = 14

The longest possible values of the other two sides are 7 ft and 14 ft

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What is the degree measure of x in this triangle?

Crank

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

4 0

3 years ago

SOMEONE, PLEASE HELP I WILL GIVE THA BRAINLIST

Tomtit [17]

Answer:

$20.52

Step-by-step explanation:

19 × 8% = 1.52

1.52 + 19 = $20.52

3 0

3 years ago

A building has a window that is 12 feet high. Stan is going to use a ladder to get up to the window and decides to keep the ladd

olasank [31]

Answer=13 feet long

This information describes a right triangle, with sides 5ft and 12ft.

a²+b²=c²
5²+12²=c²
25+144=c²
169=c²
√169=√c²
13=c

The ladder needs to be 13ft long

3 0

4 years ago

Of people who died in the United States in a recent year, 86% were white, 12% were black, and 2% were Asian. (We will ignore the

Marianna [84]

Answer:

To three decimal place = 0.030

Step-by-step explanation:

Let probability of death in white p (WH) = 86%

Let probability of death in black p(B) =12%

Let probability of death in Asian p(A) = 2%

Probability of death caused by diabetes among white will be 2.8% of p (WH) = 0.86 x 0.028 = 0.02408

Probability of death caused by diabetes among black will be 4.4% of p (B) = 0.12 x 0.044 = 0.00528

Probability of death caused by diabetes among Asian will be 3.5% of p (A) = 0.02x 0.035 = 0.0007‬

If a sample is chosen and the cause is diabetes then the probability will be

Probability of death caused by diabetes among white or Probability of death caused by diabetes among black or Probability of death caused by diabetes among Asian

0.02408 +0.00528 +0.0007 = 0.03006

To three decimal place = 0.030

5 0

3 years ago

5-4x(x+2)=9<br> Find rhe X need the whole thing

nadya68 [22]

Answer:

x=-1 hope this helpsss

Step-by-step explanation:

3 0

3 years ago