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Leno4ka [110]
3 years ago
10

State whether each pair of ratios are are equivalent. (Yes or no)

Mathematics
1 answer:
Lesechka [4]3 years ago
6 0
A) No, as the equivalent one should be a simplified version of the first one- from what air e learnt. B) No, as it is 3:7, 5:9 when it has been simplified. c) Yes, as 38:19 both ave the common factor of 19, therefore, it will equal 2:1 Hope this helps
You might be interested in
Assume that y varies inversely with x if y = 4 when x = 4 find y when x = 2​
ANEK [815]

When two variables varies inversely with each other, their product is always constant.

Since y = 4 when x = 4, their constant product is 16.

So when x = 2, y = 8.

3 0
4 years ago
I'm having a hard time with this question so someone help please
bulgar [2K]

Answer:

  7.7 km

Step-by-step explanation:

This question is asking you to find the third side of a triangle in which two sides and an angle not between them are given. The law of sines provides the necessary relationships.

<h3>Law of Sines</h3>

The Law of Sines tells you that triangle side lengths are proportional to the sine of the opposite angle. For this triangle TPJ, the relation is ...

  t/sin(T) = p/sin(P) = j/sin(J)

We are given T=68°, p=5.2 km, t=7.5 km, and we are asked to find the length of j, the TP distance.

<h3>Setup</h3>

We know the sum of angles in a triangle is 180°, and the sine of an angle is equal to the sine of its supplement. This lets us fill in the Law of Sines equation like this:

  7.5/sin(68°) = 5.2/sin(P) = j/sin(68°+P) . . . . . solve for j

<h3>Solution</h3>

This can be solved in two steps. First, we find angle P, then we use that to find length j.

  sin(P) = 5.2/7.5 × sin(68°) ≈ 0.642847

  P = arcsin(0.642847) ≈ 40.0045°

Now, we can find j:

  j = 7.5 × sin(68° +40.0045°)/sin(68°) ≈ 7.693 . . . km

The distance from the tower to the plane is about 7.7 km.

__

<em>Additional comment</em>

We have used T, P, and J to refer to the vertices at the tower, plane, and jet.

The triangle can also be solved using the Law of Cosines. In that case, the missing side will be the solution to a quadratic equation with irrational coefficients.

3 0
2 years ago
This image shows a square pyramid. What is the surface area of this square pyramid? 36 ft² 72 ft² 78 ft² 84 ft² Note: Image not
Ganezh [65]
The picture in the attached figure

we know that
<span>In a square pyramid we have five faces, 4 triangles and 1 square. So to determine surface area we need to take the areas of the triangles and square and add them all up
</span>

The square's area is relatively simple:

A=b²
A=6²=36 ft²

But now let's observe the triangles, a triangle's area is:

<span>A=(<span>1/2)*</span>b*h</span>

the base is equal to 6 ft

b=6 ft

AC=BC----------> because the angle is 45°

AC=6 ft/2----> 3 ft

so

BC=3 ft

A=(1/2)*6*3----> 9 ft²

<span>Multiply the triangle's area by four to account for all four triangular faces and add the squares area for your answer</span>

<span>Surface area=36 +4*9-----> 72 ft</span>²

the answer is

72 ft²



4 0
3 years ago
Read 2 more answers
What is the square root of 4?
wel

Answer:

2

(Hope This Helped : 3 )

4 0
3 years ago
Gradient of this Give explanation as well
tigry1 [53]

Answer:

3 is the gradient.

Step-by-step explanation:

take coordinates through which the line is passing through like

( 0 , -2 )  and ( 6 , 16 )

to find slope/ gradient = ( y2 - y1 )/ ( x2 -x1 )

                                     = ( 16 - -2 ) / ( 6 - 0 )

                                     =  3

to confirm, let me find the equation as well:

y - 16 = 3 ( x - 6 )

y - 16  = 3x - 18

y = 3x - 2

below for visual check. its true and matches. { confirmed }

6 0
3 years ago
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