All categories

2 years ago

5 Adoncia makes a scale drawing of the front of

Mathematics

1 answer:

Molodets [167]2 years ago

4 0

Answer:

Since the length of the drawing is 200 ft. and equivalent to 13.33 in. with a scale of 15 ft to 1 in. and the length of the paper is 11 in., Adoncia's drawing will not fit on the sheet of paper

Step-by-step explanation:

The given parameters are;

The scale of the drawing is 15 ft = 1 in.

The actual dimensions of the monument;

Height = 80 ft.

Length = 200 ft.

Therefore, we have;

The required dimension of the paper height = 80/15 = 16/3 = 5.33 in.

The required dimension of the paper length = 200/15 = 40/3 = 13.33 in.

The given paper dimension by 11 in. which is of a dimension of that of a standard letter paper size of 8.5 in. by 11 in.

Drawing length, 13.33 in. > Paper length > 11 in.

Adoncia's drawing will not fit on the sheet of paper.

You might be interested in

Efectuati impartirea 12xy:3x

adelina 88 [10]

In this question , we have to simplify the given ratio, which is

12xy:3x

First we have to see which factor is common in numerator and denominator,

We can write 12 as 3 times 4, that is

$3*4x*y :3x$

So the common factor is 3x.

In the next step, we cancel out 3x

$4y:1$

And that's the required simplified form .

7 0

2 years ago

Read 2 more answers

Complete the steps for solving 7 = –2x2 + 10x. Factor out of the variable terms. inside the parentheses and on the left side of

Mamont248 [21]

we have

$7=-2x^{2} +10x$

Factor the leading coefficient

$7=-2(x^{2} -5x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$7-12.50=-2(x^{2} -5x+2.5^{2})$

$-5.50=-2(x^{2} -5x+2.5^{2})$

Divide both sides by $-2$

$2.75=(x^{2} -5x+2.5^{2})$

Rewrite as perfect squares

$2.75=(x-2.5)^{2}$

Taking the square roots of both sides (square root property of equality)

$x-2.5=(+/-)\sqrt{2.75}$

Remember that

$\sqrt{2.75}=\sqrt{\frac{11}{4}}= \frac{\sqrt{11}}{2}$

$x-2.5=(+/-)\frac{\sqrt{11}}{2}$

$x=2.5(+/-)\frac{\sqrt{11}}{2}$

$x=2.5+\frac{\sqrt{11}}{2}=\frac{5+\sqrt{11}}{2}$

$x=2.5-\frac{\sqrt{11}}{2}=\frac{5-\sqrt{11}}{2}$

the answer is

The solutions are

$x=\frac{5+\sqrt{11}}{2}$

$x=\frac{5-\sqrt{11}}{2}$

5 0

1 year ago

Read 2 more answers

When 27x^2z/-3x^2z^6 is completely simplified, the exponent on the variable z is _____.

Savatey [412]

The expression given (27x^2)z/(-3x^2)(z^6), can be simplify as below:

By properties of powers, if you have the same base, you can substract the exponents. Then:

=(27x^2)z/(-3x^2)(z^6)
=-9z/z^6 (As you can see: x^2-2= x^0=1)
=-9/z^5 (Then, z^6-1=z^5)

Therefore, the answer is: The exponent on the variable z is 5.

7 0

2 years ago

Tyrell's SAT math score was in the 64th percentile. If all SAT math scores are normally distributed with a mean of 500 and a sta

jarptica [38.1K]

Answer:

$P(x < 535.8) = 0.64$

$P_{64} = 535.8$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 500

Standard Deviation, σ = 100

We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.64

P(X<x) = 0.64

$P( X < x) = P( z < \displaystyle\frac{x - 500}{10})=0.64$

Calculation the value from standard normal z table, we have, $p(z$

$\displaystyle\frac{x - 500}{100} = 0.358\\x = 535.8$

$P(x < 535.8) = 0.64$

$P_{64} = 535.8$

8 0

2 years ago

The number of bagels sold daily for two bakeries is shown in the table. Bakery A Bakery B 53 34 52 40 50 36 48 38 53 41 47 44 55

IrinaK [193]

You are given the number of bagels sold daily for bakeries A and B and are shown in the table above. Based on the above data, it is better to describe the centers of distribution in terms of the mean than the median. This is because all of the data from bakery A and B have values that are near the average and no data sample have possible outliers. For instance,

bakery A
mean (A) = [53 + 34 + 52 + 40 + 50 + 36 + 48 + 38]/8 = 43.88

Bakery B
mean (B) = [53 + 41 + 47 + 44 + 55 + 40 + 51 + 39]/8 = 46.25

Even if bakery A and B has the 38 and 39 as the lowest data respectively, they are still near the average data.

7 0

1 year ago