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
salantis [7]
3 years ago
14

In ΔSTU, the measure of ∠U=90°, US = 7.4 feet, and ST = 9.4 feet. Find the measure of ∠T to the nearest degree.

Mathematics
2 answers:
andrezito [222]3 years ago
7 0

Answer:

52

Step-by-step explanation:

UkoKoshka [18]3 years ago
5 0

Answer:

52 degrees

Step-by-step explanation:

In Triangle STU,

∠U=90°, US = 7.4 feet, and ST = 9.4 feet.

From Trigonometric ratio

Sin T =\dfrac{|SU|}{|ST|}\\Sin T =\dfrac{7.4}{9.4} \\T=arcsin\left(\dfrac{7.4}{9.4}\right)=51.9^\circ\\T=52^\circ $(to the nearest degree)

You might be interested in
» What is the distance between -25 and -12 on<br> a number line?
solmaris [256]

Answer: 13

Step-by-step explanation: All you have to do is subtract -12 from -25 and you get -13. If it was -25 from 12 you would just add the two together.

8 0
3 years ago
How do you reduce the fraction of 600 out of 25
erik [133]

Answer:

24

Step-by-step explanation:

600/25

25 goes into 600 24 times

so 600/25 could be reduced to a whole number, 24

4 0
3 years ago
You have 25 feet of yarn. it takes 8 inches of yarn to wrap around the can. how many times can you wrap the yarn around the can?
Sophie [7]
You can wrap it around 37 times and you will have 4 inches leftover. 
7 0
3 years ago
Read 2 more answers
Mr.Ruff has 6 basket of tennis balls.Each basket contains 11 balls.how many tennis balls does Mr.Ruff have?
Pavel [41]

Answer:

66

Step-by-step explanation:

11 times 6 = 66

3 0
3 years ago
Jane’s buying clothes. She can get 5 shirts &amp; 4 sweaters for $229 or she can get 2 shirts &amp; 3 sweaters for $128. How muc
makkiz [27]

Cost of 1 shirt is \$25 and cost of one sweater is \$26

<u>Solution: </u>

Given that  Jane’s buying clothes.

She can get 5 shirts & 4 sweaters for \$229

She can get 2 shirts & 3 sweaters for \$128

Need to determine cost of 1 shirt and 1 sweater.

Let assume cost of 1 shirt = \$x

And assume cost of 1 sweater = \$y

Let us create equations from give conditions

First condition is Cost of 5 shirt + cost of 4 sweater = \$229

\begin{array}{l}{\text { cost of 5 shirts }=5 \times \text { cost of 1 shirt }=5 \times x=5 x} \\\\ {\text { cost of 4 sweater }=4 \times \text { cost of 1 sweater }=4 \times y=4 y}\end{array}

So using first condition equation which we get is as follows

5 x+4 y=229 \rightarrow (1)

Second condition is Cost of 5 shirt + cost of 4 sweater = \$128

\begin{array}{c}{\text { cost of } 2 \text { shirts }=2 \times \text { cost of } 1 \text { shirt }=2 \times x=2 x} \\\\ {\text { cost of } 3 \text { sweater }=3 \times \text { cost of } 1 \text { sweater }=3 \times y=3 y}\end{array}

So using second condition equation which we get is as follows

2 \mathrm{x}+3 \mathrm{y}=128\quad\rightarrow (2)

Now we have two equations to be solved

\begin{array}{l}{5 x+4 y=229 \rightarrow (1)} \\\\ {2 x+3 y=128 \rightarrow (2)}\end{array}

On multiplying equation (1) by 2 and equation (2) by 5 to make coefficients of x equal in both equations, we get

\begin{array}{l}{2 x(5 x+4 y)=2\times 229} \\\\ {10 x+8 y=458 \rightarrow (3)} \\\\ {5 x(2 x+3 y)=5 \times 128} \\\\ {10 x+15 y=640 \rightarrow (4)}\end{array}

On subtracting (3) from (4), we get

\begin{array}{l}{(10 \mathrm{x}-10 \mathrm{x})+(15 \mathrm{y}-8 \mathrm{y})=640-458} \\\\ {\Rightarrow 7 \mathrm{y}=182} \\\\ {\Rightarrow \mathrm{y}=\frac{182}{7}=26}\end{array}

On substituting y = 26 in equation (1) we get

\begin{array}{l}{\Rightarrow 5 \mathrm{x}+(4 \times 26)=229} \\\\ {\Rightarrow 5 \mathrm{x}=229-104} \\\\ {\Rightarrow 5 \mathrm{x}=125} \\\\ {\Rightarrow \mathrm{x}=\frac{125}{5}=25}\end{array}

Cost of 1 shirt = \$x = \$25

Cost of 1 sweater = \$y = \$26  

7 0
3 years ago
Other questions:
  • How do I do I convert the USA money to the polish??
    15·1 answer
  • 4, 21, 38, common difference
    12·2 answers
  • 2. Name two ways of finding the rate of change of a<br> linear function
    14·1 answer
  • 110 is between blank and blank so 110 divided by 8 is between 13 and 14
    8·1 answer
  • Draw a model and write an equation to represent four times as many as 3 is 12 explain your work
    14·1 answer
  • Which transformation is not isometric?
    7·2 answers
  • Need helpp fastt plss will give brainliest to who is correct plss helpp
    5·1 answer
  • HELP ME PLEASE
    15·1 answer
  • Please I need helppp
    12·2 answers
  • 1 Solve for the unknown variable:
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!