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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

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Kryger [21]

Answer:

exterior angle property use ...

the exterior angle of an angle is equal to sum of rest 2 interior angles in a triangle

155 = 60 + x

x = 155 - 60 = 95

8 0
3 years ago
Tính đạo hàm của y=2x-1-căn3x-0
adoni [48]

Answer:

The derivative is

\frac{dy}{dx} = 2 -  \frac{2\sqrt3}{\sqrt x}\\

Step-by-step explanation:

The function is given by

y = 2x - 1 - \sqrt {3x}

Differentiate with respect to x, we get

\frac{dy}{dx} = 2 - 0 - \frac{2\sqrt3}{\sqrt x}\\\\\frac{dy}{dx} = 2 -  \frac{2\sqrt3}{\sqrt x}\\

7 0
3 years ago
Jorge bought x tickets to attend a football game and a baseball game. The expression 8x + 62 represents the total cost of the fo
rusak2 [61]

Answer:

21

Step-by-step explanation:

Let x be the amount of ticket for each game

Given

The expression 8x + 62 represents the total cost of the football game

The total coat for the.game will be

8(7)+62

= 56+62

= 118

If 9x + 34 represents the total cost of the baseball game. The total coat will be;

9(7)+34

= 63+34

=97

To know how much more football game costs, we will take the difference in their cost.

Difference = 118-97

Difference= 21

Hence football game costs 21 more than baseball

5 0
3 years ago
One astronomical unit is about 93,000,000 miles. At 20,000 miles per hour how many astronomical units can Orion travel? ( Orion
uranmaximum [27]

Answer:

2.15\times 10^{-4}\ AU

Step-by-step explanation:

Given that:-

The speed of the orion= 20,000 miles per hour

Time = 1 hour ( From source )

Thus,

Distance = Speed * Time = 20,000*1 miles = 20,000 miles

Thus, in 1 hour, the orion can travel 20,000 miles

Also,

93,000,000 miles = 1 astronomical unit

1 mile = 1/93,000,000 astronomical unit

20,000 miles = (1/93,000,000)*20,000 astronomical unit

<u>The orion can travel 2.15\times 10^{-4} AU in one hour.</u>

4 0
3 years ago
Aarón rides his bike away from home at a constant speed he stops at the park for a while before riding back home at a constant s
Nikolay [14]

Answer:

Step-by-step explanation: This is the answer

5 0
3 years ago
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