All categories

3 years ago

Base =____ Inches ^2

Mathematics

1 answer:

Inga [223]3 years ago

4 0

Answer:

For only the rectangle (that I've coloured in with red) I assume it would be 9 inches squared. However, when adding on the triangles on the side, it would be 9+3+3 = 15

Step-by-step explanation:

You might be interested in

Find the measure of each numbered angle for each figure

cricket20 [7]

Answer:

Angle 1 is 58. Angle 2 is 32.

Step-by-step explanation:

The measure of Angle ACB is 90 because C is on the circle and A and B connect to form a diameter of the circle. So, Angle 1 and Angle 2 add up to 90 (total degrees in triangle - 90). Now you can add the expressions the question gave for Angle 1 and Angle 2, and you get 7x + 6. So you have the equation 7x + 6 = 90. Solve the equation and you get x = 12. Now you can plug in that value for x into the expressions for Angles 1 and 2 to find their measures.

6 0

3 years ago

Suppose a city with population 100,000 has been growing at a rate of 8% per year. If this rate continues, find the population

Natalija [7]

Answer:

$370,002\ people$

Step-by-step explanation:

In this problem we have a exponential equation of the form

$y=a(b^x)$

where

y is the population of the city

x is the number of years

a is the initial value or y-intercept

b is the base

r is the rate of growth

b=(1+r)

we have

$a=100,000\ people\\r=8\%=8/100=0.08\\b=1+0.08=1.08$

substitute

$y=100,000(1.08^x)$

For x=17 years

substitute the value of x in the exponential equation and solve for y

$y=100,000(1.08^17)$

$y=370,002\ people$

7 0

4 years ago

The city of Raleigh has 11700 registered voters. There are two candidates for city council in an upcoming election: Brown and Fe

Vesnalui [34]

Answer:

The sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.308.

The expected numbers of voters who would vote for Brown is 3604.

Step-by-step explanation:

The sample statistic is a numerical quantity used to represent a characteristic of a sample. For example, sample mean is a sample statistic representing the average of the sample. Or, sample proportion is a sample statistic representing the proportion of a particular variable in the sample. Or sample variance is a sample statistic representing the variance of the sample.

The sample statistic can be used to estimate the population parameter.

They are known as the point estimate of the parameter.

The sample proportion of a variable X is given by:

$\hat p=\frac{X}{n}$

It is provided that of the n = 250 registered voters selected, the number of voters who said they would vote for Brown is X = 77.

Compute the sample statistic for the proportion of voters surveyed who said they'd vote for Brown as follows:

$\hat p=\frac{X}{n}$

$=\frac{77}{250}\\$

$=0.308$

Thus, the sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.308.

Compute the expected number of people of the 11700 registered voters who would vote for Brown as follows:

$E(X)=N\times \hat p$

$=11700\times 0.308\\=3603.6\\\approx 3604$

Thus, the expected numbers of voters who would vote for Brown is 3604.

6 0

3 years ago

n parallelogram LMNO, MP = 21 m, LP = (y + 3) m, NP = (3y – 1) m, and OP = (2x – 1) m. What are the values of x and y? x = 10, y

seropon [69]

Answer:

The value of x = 11 and y = 2

Step-by-step explanation:

Given : parallelogram LMNO, MP = 21 m, LP = (y + 3) m, NP = (3y – 1) m, and OP = (2x – 1) m.

We have to find values of x and y.

Let P be the point of intersection of diagonals OM and LN.

In a parallelogram diagonal bisects at right angles and point of intersection divide diagonal in equal parts.

Thus, OP = MP and LP = PN

OP = MP , substitute the values, we get,

(2x-1) = 21

⇒ 2x = 22

⇒ x = 11

LP = PN , substitute the values, we get,

y + 3 = 3y -1

⇒ 3y - y = 4

⇒ 2y = 4

⇒ y = 2

Thus, the value of x = 11 and y = 2

8 0

4 years ago

An N-scale model railroad caboose is 3 inches long. N scale is 169 feet to 1 foot.

hammer [34]

9514 1404 393

Answer:

c/3 = 169/12
42 1/4 feet

Step-by-step explanation:

Since we want to know the actual number of feet, we can write the proportion with that in the numerator.

$\dfrac{\text{actual feet}}{\text{scale inches}}=\boxed{\dfrac{c}{3}=\dfrac{169}{12}}\\\\c=\dfrac{3\cdot169}{12}=42\frac{1}{4}\qquad\text{multiply by 3}$

The real caboose is 42 1/4 feet long.

4 0

3 years ago