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Rufina [12.5K]
3 years ago
8

Please help me with these questions guys

Mathematics
1 answer:
dimaraw [331]3 years ago
5 0

Answer:

6m

Step-by-step explanation:

You need to use trigonomtery: SOHCAHTOA

Since we are looking for the height, we should use the Sine rule:

Sine(37) = opposite/hypotenuse

We already have our hypotenuse which is 10

sine(37) = opposite/10m

Now we re-arrange to find the opposite(which is our height)

opposite = 10m x sine(37)

opposite = 6.018

Therefore height = 6 to the nearest metre

Hope this helps :)

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What are the solutions of the equation x^4 + 6x^2 + 5 = 0? Use u substitution to solve.
Radda [10]

Answer:

second option

Step-by-step explanation:

Given

x^{4} + 6x² + 5 = 0

let u = x², then

u² + 6u + 5 = 0 ← in standard form

(u + 1)(u + 5) = 0 ← in factored form

Equate each factor to zero and solve for u

u + 1 = 0 ⇒ u = - 1

u + 5 = 0 ⇒ u = - 5

Change u back into terms of x, that is

x² = - 1 ( take the square root of both sides )

x = ± \sqrt{-1} = ± i ( noting that \sqrt{-1} = i ), and

x² = - 5 ( take the square root of both sides )

x = ± \sqrt{-5} = ± \sqrt{5(-1)} = ± \sqrt{5} × \sqrt{-1} = ± i\sqrt{5}

Solutions are x = ± i and x = ± i\sqrt{5}

3 0
3 years ago
What grade level is a score of 235 in maps math I am really wanting to know
igomit [66]

Answer: It should be an 8th grade level

(sorry if i'm wrong)

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6 0
3 years ago
6) Manert's grandfather put $8000 in the bank for him when he was 5. The account has been
Firdavs [7]
He earned $199,423 in interest.

His total would be $207,423.
4 0
3 years ago
Mark and Trisha are traveling in the same direction and Mark is going 16 miles per hour. Trisha is going 12 miles per hour but s
Lorico [155]

Answer:

32 miles

Step-by-step explanation:

Given data

Let the total distance be x miles

Marks speed= 16miles per hour

Trisha's speed= 12 miles per hour

Trisha has covered 8 miles and has  (x-8) miles to finish line

We know that

Speed= distance/time

time= distance/speed

Hence the time taken for Mark to finish is

time= x/16---------------1

The time taken for Trisha to finish is

time= (x-8)/12-----------2

equate 1 and 2 above

x/16= (x-8)/12

cross multiply

16(x-8)= 12*x

16x-128= 12x

collect like terms

16x-12x= 128

4x=128

x= 128/4

x= 32 miles

Hence they will meet at exactly 32 miles along the way

5 0
3 years ago
What is the value of s in the equation 3r = 10 + 5s, when r = 10?
kupik [55]
S = 4

3(10) = 10 + 5s
30 = 10 + 5s
30 - 10 = 5s
20 = 5s
20 ÷ 5 = s
4 = s
4 0
3 years ago
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