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viva [34]
2 years ago
5

Will mark brianliest please help

Mathematics
1 answer:
MrRissso [65]2 years ago
4 0

Answer:

See below.

Step-by-step explanation:

7x^2 = 343                     Divide both sides by 7

7x^2/7 = 343/7

x^2 = 49                         Take the square root of both sides.

sqrt(x^2) = sqrt(49)

x = +/- 7

Answers

  • 7
  • - 7
  • sqrt(49)
  • - sqrt(49)

I think the last two are kind of iffy. I'm not sure you can call them solutions, but the question probably assumes they are. If you use all four answers and get it wrong, them submit +7 and - 7.  

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A right triangle has an area of 50 square inches. If the triangle is an isosceles triangle, what are the lengths of the legs of
Fed [463]
<span>If this is an isosceles triangle, then it has two 45 degree angles corresponding to two legs of equal length.  Orient the base of this triangle so that it's horizontal, and represent its length by b.  Let h represent the height of the triangle.  Then the area of this right triangle is 50 square inches = (1/2)(b)(h), or A = (b/2)h = 50 in^2.   

Due to the 45 degree angles, the height of this triangle is equal to half the base, or h = b/2.  Thus, (b/2)h = 50 becomes (b/2)(b/2) = 50, or b^2=200. Thus, b = 10sqrt(2), and h=(1/2)(10 sqrt(2)), or h = 5sqrt(2).

The length of one of the legs is the sqrt of  [5sqrt(2)]^2+[5sqrt(2)]^2, or

sqrt(25(2)+25(2)) = sqrt(100) = 10.



</span>
4 0
3 years ago
A falcon flies 300 kilometers per hour. A goose flies 140 kilometers per hour. If a falcon and a goose each fly for 2 hours, how
Mila [183]

Answer:

320

Step-by-step explanation:

Distance covered by falcon in 2 hours=300*2=600 km

Distance covered by goose in 2 hours=140*2=280 km.

Falcon flew 600-280=320 km more than goose

7 0
3 years ago
Evaluate each expression by replacing the variable with 8. Show each step. (8 marks) 2n - 6
monitta

Answer:

10

Step-by-step explanation:

2n-6

n=8

2(8)-6

16-6

10

4 0
2 years ago
7. The length of a rectangle is 3 centimeters less than twice its width. The perimeter of the rectangle is 48 cm. What are the d
irga5000 [103]
The answer is b

The perimeter of a rectangle is 2(l + w) so in this case, it is 2(15 + 9) and that is equal to 48. But so at c and d. So u need to multiply the width by 2 (9*2=18) and then you’ll see that 18-3=15. And therefore, the length is -5 and the width is 9
5 0
3 years ago
an airplane travels 4688 kilometers against the wind in 8 hours and 5808 kilometers with the wind in the same amount of time. wh
Vladimir [108]

The speed of wind is 656 kmph and speed of plane is 70 kmph.

<u>SOLUTION: </u>

Given that, an air-plane travels 4688 kilometers against the wind in 8 hours

And 5808 kilometers with the wind in the same amount of time.  

We have to find the rate of the plane in still air and the rate of wind

Now, let the speed of wind be a kmph and speed of plane be b kmph.

And we know that, \text { distance }=\text { speed } \times \text { time }

\begin{array}{l}{\text { Then, while travelling with wind } \rightarrow 5808=(a+b) \times 8 \rightarrow a+b=726 \rightarrow a=726-b \rightarrow(1)} \\\\ {\text { While travelling against wind } \rightarrow 4688=(a-b) \times 8 \rightarrow a-b=586 \rightarrow(2)}\end{array}

Substituting (1) in (2) we get,

\Rightarrow 726-b-b = 586\Rightarrow -2b=586-726 \Rightarrow -2b=-140

\Rightarrow b=\frac{140}{2} \Rightarrowb=70\Rightarrow (3)

On substituting (3) in (1) we get,

a=726-70=656\Rightarrow a=656

Hence, the speed of wind is 656 kmph and speed of plane is 70 kmph.

4 0
3 years ago
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