1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Helga [31]
3 years ago
12

In ΔSTU, the measure of ∠U=90°, ST = 9.7 feet, and US = 4 feet. Find the measure of ∠T to the nearest degree.

Mathematics
1 answer:
BaLLatris [955]3 years ago
5 0

Answer:

Around 24 degrees

Step-by-step explanation:

*Make sure calculator is on degree mode*

Try to draw out triangle--it helps

Need to use law of sines... this is where an angle and the side that opposes it are equal to each other. For example, Angle U is equal to 9.7

\frac{sin\alpha }{4} = \frac{sin90}{9.7}

Multiply 4 and sin90 and then divide the product by 9.7

Use sin^{-1} on calculator to convert the answer into degrees

You might be interested in
Condense log₂ 4 + log₂ 5
yawa3891 [41]

Answer:   \log_2(20)

Work Shown:

\log_2(4) + \log_2(5)\\\\\log_2(4*5)\\\\\log_2(20)\\\\

The rule used is \log_{b}(\text{x}) + \log_{b}(\text{y}) = \log_{b}(\text{xy})

7 0
2 years ago
Read 2 more answers
What is the value of x if the perimeter of both shapes is the same?
AveGali [126]

The value of x is: \frac{4}{3}

<u><em>Recall</em></u>:

Perimeter of a shape is the sum of all its sides

<em>Thus</em>:

Perimeter of the triangle = x + x +x+ 4 = 3x + 4

Perimeter of the rectangle = 2(2x) + 2(x) = 4x + 2x = 6x

We are told that the perimeter of both shapes are equal. Set both perimeters equal and solve for x.

3x + 4 = 6x

<em>Add like terms</em>

<em />4 = 6x - 3x\\4 = 3x

<em>Divide both sides by 3</em>

<em />\frac{4}{3} = x\\x = \frac{4}{3}

The value of x = \frac{4}{3}

Learn more here:

brainly.com/question/20562416

3 0
2 years ago
−1.64 as a mixed number in simplest form.
liraira [26]
Convert to a mixed number by placing the numbers to the right of the decimal over 100. Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.

-41\25
4 0
3 years ago
The mean student loan debt for college graduates in Illinois is $30000 with a standard deviation of $9000. Suppose a random samp
Nataly [62]

Answer:

the probability that the mean student loan debt for these people is between $31000 and $33000 is 0.1331

Step-by-step explanation:

Given that:

Mean = 30000

Standard deviation = 9000

sample size = 100

The probability that the mean student loan debt for these people is between $31000 and $33000 can be computed as:

P(31000 < X < 33000) = P( X \leq 33000) - P (X \leq 31000)

P(31000 < X < 33000) = P( \dfrac{X - 30000}{\dfrac{\sigma}{\sqrt{n}}} \leq \dfrac{33000 - 30000}{\dfrac{9000}{\sqrt{100}}}    )- P( \dfrac{X - 30000}{\dfrac{\sigma}{\sqrt{n}}} \leq \dfrac{31000 - 30000}{\dfrac{9000}{\sqrt{100}}}    )

P(31000 < X < 33000) = P( Z \leq \dfrac{33000 - 30000}{\dfrac{9000}{\sqrt{100}}}    )- P(Z \leq \dfrac{31000 - 30000}{\dfrac{9000}{\sqrt{100}}}    )

P(31000 < X < 33000) = P( Z \leq \dfrac{3000}{\dfrac{9000}{10}}}) -P(Z \leq \dfrac{1000}{\dfrac{9000}{10}}})

P(31000 < X < 33000) = P( Z \leq 3.33)-P(Z \leq 1.11})

From Z tables:

P(31000 < X

P(31000 < X

Therefore; the probability that the mean student loan debt for these people is between $31000 and $33000 is 0.1331

8 0
3 years ago
What is the change in temperature from -8°F to 14°F?
gizmo_the_mogwai [7]

Answer:

22 degrees, 1. 2 degrees, 2. 14 degrees, 3. 14 degrees, 4.30 degrees

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • If an investor wants to combine a 5/8 acre parcel with a 3.9 acre parcel, how big will the parcel be, expressed as a decimal?
    14·1 answer
  • Kyle is working on his model railroad set that his grandfather gave him. The miniature train engineer is 0.43 inches wide and 1.
    9·1 answer
  • Note: Figure is not drawn to scale.
    14·2 answers
  • What is 5/8 times 5/6
    5·2 answers
  • No links plz real answers
    5·1 answer
  • Factor Completely 8y^2+14y+3​
    12·1 answer
  • There are 15 fruits in a bowl and 3 of them are apples. What percent of the fruits in the bowl are apples?
    7·1 answer
  • Find the distance d between 21 = (-7 - 6i) and Z2 = (-15 – 12i). Express your answer in exact terms and simplify, if needed.​
    8·1 answer
  • Kelly was building a bed for her dollhouse. She used her bed, which is 4 feet × 6 feet, as a guide. She scaled down the dimensio
    13·2 answers
  • Helppp please
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!