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Trava [24]
4 years ago
15

In ΔSTU, the measure of ∠U=90°, SU = 7, UT = 24, and TS = 25. What ratio represents the tangent of ∠T?

Mathematics
1 answer:
Vinvika [58]4 years ago
6 0

Answer:

Tan T = 7/24

Step-by-step explanation:

Firstly, please check attachment to have a picture of the triangle we are solving.

Now, we are concerned with calculating the ratio that represents the tangent of angle T.

Mathematically, the tangent of an angle is the ratio of the length of the opposite to the length of the adjacent.

In this question, our opposite is 7 while the adjacent is 24.

Thus Tan T = 7/24

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Three red rods are 2cm longer than two blue rods. Three blue rods are 2cm longer than four red rods. How long is each rod?
nydimaria [60]

Answer:

The length of each red rod is 10 cm and the length of each blue rod is 14 cm

Step-by-step explanation:

Let

x ----> the length of each red rod in centimeters

y ----> the length of each blue rod in centimeters

we know that

3x=2y+2 ----> equation A

3y=4x+2 ----> equation B

Solve the system by graphing

Remember that the solution of the system of equations is the intersection point both graphs

using a graphing tool

The solution is the point (10,14)

see the attached figure

therefore

The length of each red rod is 10 cm and the length of each blue rod is 14 cm

4 0
4 years ago
Please show work for both problems
kirill [66]

Answer:

3)  x = 15; 95 and 85      4)  x = 12; 98 for both angles

Step-by-step explanation:

2x + 65 + 3x + 40 = 180       Set the equations equal to 180

5x + 105 = 180                      Combine like terms

     - 105  - 105                      Subtract 105 from both sides

5x = 75                                  Divide both sides by 5

x = 15

Plug 15 into both equations

2(15) + 65 = 95

3(15) + 40 = 85

4)  5x + 38 = 9x - 10             Set the equations equal to each other

  - 5x          - 5x                    Subtract 5x from both sides

 38 = 4x - 10

+ 10       + 10                         Add 10 to both sides

48 = 4x                                  Divide both sides by 4

12 = x

Plug 12 into both equations

5(12) + 38 = 98

9(12) - 10 = 98

6 0
3 years ago
If you eat 4 medium strawberries you get 48%of your daily reccomended amount of vitiman c what fraction of your daily amount of
Nady [450]
<span>4 medium strawberries→</span><span> 48% of your daily recommend amount of vitamin c
x </span><span>medium strawberries→100% </span><span>of your daily recommend amount of vitamin c
4:48=x:100⇒48x=100*4
48x=400
x=8.33
8.33-4=4.33
4 and 1/3 of </span>medium strawberries you still need for your <span>your daily recommend amount of vitamin c.</span>
6 0
3 years ago
How many degrees would you need to rotate a figure for the image to coincide with the preimage
trasher [3.6K]
160 degrees or 180 degrees
8 0
3 years ago
A small radio transmitter broadcasts in a 63 mile radius. If you drive along a straight line from a city 38 miles north of the t
olchik [2.2K]

Answer:

A signal from the transmitter will be picked up through out the 57.38 mile drive

Step-by-step explanation:

The radius of the transmitter = 63 miles

Therefore, since both the location 38 miles north and the location 43 miles east of the transmitter are within the the radius, the transmission of the transmitter will be received through out the straight line journey

The length of the travel path is given by;

Distance from 38 miles north of the transmitter to distance of 43 miles east of transmitter = \sqrt{38^2+43^2}  = 57.38 \, miles.

4 0
3 years ago
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