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Serjik [45]
3 years ago
5

In ΔSTU, the measure of ∠U=90°, the measure of ∠T=32°, and US = 5.8 feet. Find the length of ST to the nearest tenth of a foot.

Mathematics
1 answer:
murzikaleks [220]3 years ago
8 0

Answer:

10.9451≈10.9 feet

Step-by-step explanation:

sinT= hypotenuse/ opposite = x/5.8

sin32= x/5.8

x*sin 32=5.8

x=5.8/sin 32= <u>10.9451≈10.9 feet</u>

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Please help with solving the blank answers
KATRIN_1 [288]
Distribute The 4 In Problem Number 2. (4*2.5X)+(4*1.25) = 77
Simplify. 10X+5 = 77. Now, Subtract 5 From Both Sides. 
10X = 77-5
10X = 72.
Now, Divide.
X = 72/10. 
X = 7.2.
For 13, We Have This:
3/5p+2/3 = 8.
Now, Subtract 2/3. 
3/5p = 7 1/3
Now, Divide. 
7 1/3 Needs To Be Converted To An Improper Fraction. 
It Becomes 22/3.
22    5    110
--- * --- = ----
 3     3      9
Now, Make Into A Proper Fraction.
It Becomes 12 And 2/9. 

6 0
3 years ago
Write an equation parallel to 5x-4y=4 that passes through the point (-8,2)
ehidna [41]

Since the line is parallel, the same coefficients can be used for x and y. The constant on the right needs to change so that the given point will satisfy the equation.

... 5x - 4y = 5(-8) -4(2) = -40 -8 = -48

Your equation is

... 5x -4y = -48

4 0
3 years ago
What is the slope of the line in this diagram? what is the y-intercept
rusak2 [61]
Where's the diagram?
7 0
2 years ago
Help me wegnerkolmp2741o
Pie

Answer:

Step-by-step explanation:

All these amount of money are based on Dan's initial amount, which is x. Ben had 7 more than Dan, so Ben's amount of money is x + 7. Kaden has 4 more than Ben, so Kaden's amount of money is 4 + (x + 7) which is x + 11. So here's the breakdown so far:

Dan: x

Ben: x + 7

Kaden: x + 11

Now it looks like Kaden is the favorite and got another 20 from his mom, so his amount became x + 31. After Dan spends a dollar, making his amount x - 1, Kaden had 9 times what Dan had. Now we have finally:

x + 31 = 9(x - 1) and

x + 31 = 9x - 9 and

40 = 8x so

x = 5.

Dan originally had $5, Ben originally had $12, and Kaden originally had $16

8 0
3 years ago
Which congruency theorem can be used to prove that △ABD ≅ △DCA?<br> SSS<br> ASA<br> SAS<br> AAS
NISA [10]

Answer:

SAS


Step-by-step explanation:

Given: Two triangles ΔABD and ΔDCA,

We have, AD=AD (common)

               ∠A=∠A (Given)

                BA=CD (Sides opposite to equal angles are always equal)

With the SAS rule of congruency,

ΔABD≅ΔDCA


3 0
3 years ago
Read 2 more answers
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