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4 years ago

Solve for q, triangle ABC is similar to triangle JKL.

Mathematics

1 answer:

hammer [34]4 years ago

6 0

You could go for blurrier; we can still kinda read this one.

We have ratios

10:24:28 = 5:q:14

so a scale factor of 1/2 mapping 10 to 5 and 28 to 14. That leaves 24 to go to

Answer: q=12

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mojhsa [17]

Answer:

6 cups to make 126 cookies

Step-by-step explanation:

dozen = 12 cookies

7 x 12= 84

126 - 84 = 42

so you will have to make 42 cookies more and that will be 2 more cups of flour

it total is 6 cups to make 126

5 0

3 years ago

A rocket is launched from a tower. The height of the rocket, y in feet is related to the time after launch, x in seconds, by the

gizmo_the_mogwai [7]

Step-by-step explanation:

The height of the rocket y in feet is related to the time after launch, x in seconds, by the given equation i.e.

$y=-16x^2+165x+78$ ......(1)

It is required to find the maximum height reached by the rocket. For maximum height put $\dfrac{dy}{dx}=0$ .

So,

$\dfrac{d(-16x^2+165x+78)}{dx}=0\\\\-32x+165=0\\\\32x=165\\\\x=5.15\ s$

Put x = 5.15 in equation (1).

$y=-16(5.15)^2+165(5.15)+78\\\\y=503.39\ m$

So, the maximum height reached by the rocket is 503.39 m.

5 0

4 years ago

Would a scale that is used to weigh food be the best tool to weigh concrete blocks? explain why or why not no,because a scale is

inna [77]

A scale with a suitable range for weighing small items such as food in the home, would not be suitable for weighing large, heavy items, such as concrete blocks. A scale for concrete blocks wouldn't be sensitive enough for food.

4 0

3 years ago

What is the diameter of the cylinder

vfiekz [6]

Diameter of cylinder is 14 units.

<h3>Explamation :</h3>

Given :-

Volume of cylinder = 245π cubic units
Height of cylinder = 5 units

To Find :-

Diameter of cylinder?

Solution :-

Firstly lets calculate radius of cylinder by using formula of volume of cylinder, as we know that;

Volume of cylinder = πr²h

Putting all values we get;

➸ 245π = π × r² × 5

By cutting 'π' with 'π' we get;

➸ 245 = r² × 5

➸ 245/5 = r²

➸ 49 = r²

➸ √(49) = r²

➸ √(7 × 7) = r²

➸ 7 = r

➸ r = 7 units

Hence, radius of cylinder is 7 units.

Now lets calculate its diameter, as we know that;

Diameter = Radius × 2

Putting all values we get;

➸ Diameter = 7 × 2

➸ Diameter = 14 units

Hence, diameter of cylinder is 14 units.

5 0

2 years ago

Read 2 more answers

The stream of water from a fountain follows a parabolic path. The stream reaches a maximum height of 4 feet, represented by a ve

Bezzdna [24]

Answer:

y = -4/36 * (x-6)^2 + 4

Step-by-step explanation:

The quadratic equation expressed in vertex from is

y = a(x-h)^2 + k

The vertex is

Vertex = (h,k) = (6,4)

This means

y = a(x-6)^2 + 4

To find a, we know that at 12 feet from the water jet, the height is equal to zero.

0 = a(12-6)^2 + 4

a = -4/36

Therefore, the equation is

y = -4/36 * (x-6)^2 + 4

Please see attached graph for reference.

3 0

4 years ago

Solve for q, triangle ABC is similar to triangle JKL.​

Solve for q, triangle ABC is similar to triangle JKL.