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KATRIN_1 [288]
3 years ago
7

PLEASE need help with these

Mathematics
1 answer:
Kryger [21]3 years ago
8 0

Answer:

63.72 ft^2

128 cm^2

Step-by-step explanation:

5.  The area of a triangle is

A = 1/2 bh  where b is the base and h is the height

A = 1/2(21.6) * (5.9)

   = 63.72 ft^2

6. The scale factor is 20/15 = 4/3

When we find area is the scale factor is squares

(4/3) ^2 = 16/9

Taking the ratio of the areas

A big trap

------------------- = scale factor squared

A little trap

A big trap     16

-------------- = ------

  72               9

Using cross products

9A = 16*72

9A = 1152

Divide each side by 9

A = 1152/9

A =128

The area of the large trapezoid is 128 cm^2

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Answer:

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Step-by-step explanation:

Given:

Power P = 48.1 W, Time = 1 Hrs= 3600 S

Formula of Power = Energy / Time

⇒ Energy = Power × Time

Energy = 48.1 W × 3600 S = 173,160 Joule = 1.73× 10⁵ J

8 0
3 years ago
Someone please help...i’m trying to get my grade up.
WARRIOR [948]

Answer:

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Step-by-step explanation:

4 0
2 years ago
Diagram below shows the curve of a quadratic function
uranmaximum [27]

Answer:

q = -8, k = 2.

r = -6.

Step-by-step explanation:

f(x) = (x - p)^2 + q

This is the vertex form of a quadratic where the vertex is at the point (p, q).

Now the x intercepts are at -6 and 2 and the curve is symmetrical about the line x = p.

The value of p is the midpoint of  -6 and 2 which is (-6+2) / 2 = -2.

So we have:

f(x) = 1/2(x - -2)^2 + q

f(x) = 1/2(x + 2)^2 + q

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0 = 1/2(2 + 2)^2 + q

0 = 1/2*16 + q

0 = 8 + q

q = -8.

Now convert this to standard form to find k:

f(x) = 1/2(x + 2)^2 - 8

f(x) = 1/2(x^2 + 4x + 4) - 8

f(x) = 1/2x^2 + 2x + 2 - 8

f(x) = 1/2x^2 + 2x - 6

So k = 2.

The  r  is the y coordinate when x = 0.

so r = 1/2(0+2)^2 - 8

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3 0
3 years ago
Robbert wants to put lights around the edge of his yard.The yard if 40 feet long and 23 feet wide.How many yards of light does h
slega [8]

Answer:

102.222 square yards of light.

Step-by-step explanation:

From the above question, the yard had the dimensions 40 feet long and 23 feet wide.

Hence, the yard is rectangular in shape.

We have to find the area of the yard.

The formula is given as:

Area = Length × Width

= 40 feet × 23 feet

= 920 square feet

Converting to yards

1 square foot = 0.111 square yard

920 square feet = x

Cross Multiply

x = 920 × 0.111 square yard

x = 102.222 square yards.

Therefore, Robbert would need 102.222 square yards of light.

6 0
3 years ago
Caleb drives for 3.5 hours at 65 miles per hour. How far does he travel? do not round your answer
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Answer:

227.5

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Hope this helps!!!

6 0
3 years ago
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