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iris [78.8K]
2 years ago
14

Determine the value of x!​

Mathematics
1 answer:
tester [92]2 years ago
8 0

Answer:

x = 17.51

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan 35 = x/25

25 tan 35 =x

x=17.50518

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Uncle Jason is twice as old as his nephew Ralph, and 10 years ago he was three times as old as Ralph. Find their present ages.
cluponka [151]

Answer:

40 and 20

Step-by-step explanation:

  • Uncle Jason's age = x
  • Nephew Ralph age = y
<h3>Solution</h3>

<u>Age now:</u>

  • x= 2y

<u>Age 10 years ago: </u>

  • x- 10 = 3(y-10)

<u>Substituting x in the second equation:</u>

  • 2y - 10 = 3y - 30
  • 3y - 2y = 30 -10
  • y = 20

<u>Then, finding x:</u>

  • x= 2y
  • x= 2*20
  • x= 40

<u>Answer:</u> Uncle Jason is 40 and nephew Ralph is 20 years old

7 0
2 years ago
If a = 2.3 units, b = 4 units, c = 6 units, and d = 8 units, what is the volume of the two prisms?
mihalych1998 [28]
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5 0
2 years ago
Kara and Lindsey both hike in separate directions from their campsite, with Kara hiking straight to the east and Lindsey hiking
xz_007 [3.2K]

Answer:

A. f(x)=x^2+x+0.25

Step-by-step explanation:

If x represents Lindsey's distance at 2:00 PM, then 2x represents Kara's distance at 2:00 PM because she walked twice as far as Lindsey. Then adding on the values we got for 2:30 PM, we get that Kara walked a distance of 2x+1 and Lindsey walked a distance of x+0.5 at the time of 2:30 PM. Now, we know that they have formed a right triangle because we are given the directions they walked in; east and north. This allows us to use a formula for the area of a right triangle: 1/2(L x W). Plugging in our values, we get...

1/2(2x+1)(x+0.5)

which simplifies to...

1/2(2x^2+2x+0.5)

which further simplifies to...

x^2+x+0.25

which is our answer.

4 0
2 years ago
Simplify the algebraic expression. -2(x - 5) + 4(9 + x)
AnnZ [28]

Answer:

2x+46

Step-by-step explanation:

-2(x-5)+4(9+x), Multiply

-2x+10+36+4x, Combine like terms

Simplified= 2x+46

5 0
3 years ago
A survey of 73 people reported that 32 of them preferred juice to milk.
Gnesinka [82]

About 100. (Im not quite sure)

8 0
3 years ago
Read 2 more answers
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