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tatiyna
3 years ago
13

on a scale drawing the scale is 1/2 in = 1 ft what are the dimensions on the scale drawing for a room that is 22 ft by 17 ft

Mathematics
1 answer:
tamaranim1 [39]3 years ago
7 0

Answer:

11 inches by 8.5 inches

Step-by-step explanation:

We can use proportions to solve this problem, drawing on top, real life on bottom

1/2 inch           x inches

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

1 ft                  22ft

Using cross products

1/2 * 22 = x*1

11  =x

11 inches

1/2 inch           x inches

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

1 ft                  17ft

Using cross products

1/2 * 17 = x*1

8.5 =x

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3 years ago
The area of the circle is 144π m2<br><br> What is the diameter of the circle?
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Answer:

Step-by-step explanation:

Remember that

Area of Circle = \pi r^2

\pi  = pi \\r = radius

They told us that for this circle, the area is 144\pi  m^2

If you put it back into the formula for area of a circle we get:

Area of Circle = \pi r^2

144\pi = \pi r^2

Divide both sides by \pi.

144 = r^2

Now we want to solve for r (r = radius).

You need to square root each side

\sqrt{144} = \sqrt{r^2}

12 = r

So now we know the radius, r = 12 metres

Also remember that

Diameter = 2r

So,

Diameter = 2 times 12 = 24 metres

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3 years ago
A sweater is on sale for 22.50 if the price represents a 45% what is the selling price
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3 years ago
The combined SAT scores for the students at a local high school are normally distributed with a mean of 1479 and a standard devi
kotykmax [81]

Answer:

0.35% of students from this school earn scores that satisfy the admission requirement.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The combined SAT scores for the students at a local high school are normally distributed with a mean of 1479 and a standard deviation of 302.

This means that \mu = 1479, \sigma = 302

The local college includes a minimum score of 2294 in its admission requirements. What percentage of students from this school earn scores that satisfy the admission requirement?

The proportion is 1 subtracted by the pvalue of Z when X = 2294. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{2294 - 1479}{302}

Z = 2.7

Z = 2.7 has a pvalue of 0.9965

1 - 0.9965 = 0.0035

0.0035*100% = 0.35%

0.35% of students from this school earn scores that satisfy the admission requirement.

6 0
3 years ago
A rectangular mural has dimensions of (x + 10) and (x + 3) feet. If the area of the mural is 60
Crank

Answer:

Dimensions are 12 , 5

Step-by-step explanation:

Area of rectangular mural = length * width

length * width = 60 square feet

(x + 10)(x + 3) = 60

Use FOIL method

x*x + x*3 + 10*x + 10*3 = 60

x² + <u>3x + 10x</u> + 30 = 60      {Combine like terms}

x² +<u> 13x</u> + 30 - 60 = 0

x² + 13x - 30 = 0

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Product = -30

Factors =  15 , -2     (15+ (-2) = 13 ; 15*(-2) = -30)

x² + 15x - 2x - 30 =0  {Rewrite middle terms}

x(x + 15) - 2(x + 15) = 0

(x + 15)(x - 2) =0

x - 2 = 0             {Ignore (x +15) as dimensions wont have a negative value}

x = 2

x + 10 = 2 + 10 = 12

x + 3 = 2 + 3 = 5

Dimensions are 12 , 5

3 0
3 years ago
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