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dimaraw [331]
4 years ago
6

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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#1
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 <u>1</u><u>4</u><u> </u><u>units.</u>
<h3><u>Explamation </u><u>:</u></h3>

<em><u>Given </u></em><em><u>:</u></em><em><u>-</u></em>

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

<em><u>To </u></em><em><u>Find </u></em><em><u>:</u></em><em><u>-</u></em>

  • Diameter of cylinder?

<em><u>Solution </u></em><em><u>:</u></em><em><u>-</u></em>

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

  • Volume of cylinder = πr²h

<em>Putting </em><em>all </em><em>values </em><em>we </em><em>get;</em>

➸ 245π = π × r² × 5

<em>By </em><em>cutting </em><em>'π' </em><em>with </em><em>'π' </em><em>we </em><em>get;</em>

➸ 245 = r² × 5

➸ 245/5 = r²

➸ 49 = r²

➸ √(49) = r²

➸ √(<u>7</u><u> </u><u>×</u><u> </u><u>7</u><u>)</u> = r²

➸ 7 = r

➸ r = 7 units

  • <u>Hence,</u><u> </u><u>radius </u><u>of </u><u>cylinder </u><u>is </u><u>7</u><u> </u><u>units.</u>

<em>Now </em><em>lets </em><em>calculate </em><em>its </em><em>diameter,</em><em> </em><em>as </em><em>we </em><em>know </em><em>that;</em>

  • Diameter = Radius × 2

<em>Putting </em><em>all </em><em>values </em><em>we </em><em>get;</em>

➸ Diameter = 7 × 2

➸ Diameter = 14 units

  • <u>Hence,</u><u> </u><u>diameter </u><u>of </u><u>cylinder </u><u>is </u><u>1</u><u>4</u><u> </u><u>units.</u>

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
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