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Helga [31]
2 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]2 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

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4 What is the slope of the graph of y = 12x - 19? ​
sweet-ann [11.9K]

Answer:

This means that 12 is the slope of the line y = 12x - 19.

5 0
2 years ago
Read 2 more answers
A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?
Xelga [282]

Answer:

Option (3) is correct.

side length of square is (3x + 13 ) units.

Step-by-step explanation:

For a square with side 'a'. Perimeter is defined as the sum of length of side. Since, Square has four sides. Thus Perimeter of square = 4 × side

Given square has perimeter = 12x + 52

Comparing both sides,

4 × side = 12 x +  52

⇒ Side = \frac{12x+52}{4}

⇒ Side = \frac{4(3x+13)}{4}

⇒ Side = 3x + 13

Thus, side length of square is (3x + 13 ) units.

Thus, option (3) is correct.

3 0
2 years ago
Read 2 more answers
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sveta [45]

Answer:

Hayden's hourly rate is $30

Extra hour rate is 1.5×30=$45

given that he earned $2175 by working 40 regular hours, the number of overtime hours he worked will be given as follows;

let the number of overtime be x

hence total amount earned will be:

(40×30)+(45×x)=2175

1200+45x=2175

45x=2175-1200

45x=975

solving for x we get

x=975/45

x=65/3=21 2/3 hours  

 

Therefore the answer is c.562.50

Step-by-step explanation:

brainliest please

8 0
2 years ago
The graph of f(x) = StartRoot x EndRoot is reflected over the y-axis. Use the graphing calculator to graph this reflection. Whic
labwork [276]

Answer:

<em>(–81, 9), (–36, 6), (–1, 1) </em> are the correct three points.

Step-by-step explanation:

Given the function:

f(x) =\sqrt x

Please refer to the attached image.

The green line shows the graph of actual function.

It is reflected over y axis.

The reflected graph is shown in black color in attached image.

When reflected over y axis, the sign of variable x changes from Positive to Negative.

So, the resultant function becomes:

f(x)=\sqrt{-x}

i.e. we will have to give the values of x as negative now.

so, the options in which value of x is negative are the possible answers only.

The possible answers are:

(–81, 9), (–36, 6), (–1, 1) and

(–49, 7), (–18, 9), (–1, 1)

Now, we will check the square root function condition.

In the 2nd option, (–18, 9) does not satisfy the condition.

So, the correct answer is:

<em>(–81, 9), (–36, 6), (–1, 1)</em>

7 0
2 years ago
A gardener wants to plant 122500 trees in his field in such a way that the number of trees in a row is equal to the number of ro
Nady [450]
Given that the gardener wants the number of trees in each raw to be equal to the number of rows, then let the number of in each row be x this means that the number of rows will be x.
Thus the total number of trees will be:
Total=(number of rows)*(number of trees in each row)
hence:
122500=x×x
122500=x²
hence
x=√122500
x=350
thus the number of rows will be 350 and the number of trees in each row will be 350
6 0
2 years ago
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