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2 years ago

11

What is the surface area of a square pyramid that has a base of 100 feet squared a base perimeter of 40 feet a height of 50 feet

and a slant height of 60 feet

1 answer:

g100num [7]2 years ago

3 0

The surface area of the square It’s 1,300ft

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2. Use the following picture for this question:

Art [367]

Answer:

a. $24\sqrt{3}$ and 41.6

b. 52.1

Step-by-step explanation:

a.

Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.

<u>Note:</u> the exact value of tan 60 is $\sqrt{3}$

Thus, we can write $Tan(60)=\frac{y}{24}\\y=24*Tan(60)\\y=24*\sqrt{3} \\y=24\sqrt{3}$

Approximate value (rounded to nearest tenth): $24\sqrt{3} =41.6$

b.

Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.

Thus we can write and solve:

$Sin(53)=\frac{41.6}{x}\\x=\frac{41.6}{Sin(53)}=52.1$

4 0

2 years ago

The following correlations were computed as part of a multiple regression analysis that used education, job, and age to predict

erma4kov [3.2K]

Answer:

Job has the weakest association with the dependent variable income.

Step-by-step explanation:

The correlation coefficient is used to determine the the strength and direction of the relationship between two variables.

It is denoted by <em>r</em> and the value of <em>r</em> ranges from -1.00 to 1.00.

The correlation data provided is as follows:

Income Education Job Age

Income 1.000

Education 0.677 1.000

Job 0.173 -0.181 1.000

Age 0.369 0.073 0.689 1.000

The dependent variable is the income.

And the variables Education, Job and Age are independent variables.

The correlation between Income and Job is 0.173.

This is the lowest correlation coefficient between the dependent and independent variable.

Thus, Job has the weakest association with the dependent variable income.

8 0

2 years ago

Match each question to the correct problem.

Maslowich

<h2>Answer:</h2>

<em>(Check attached images).</em>

<h2>Step-by-step explanation:</h2>

<h3>Exercise 1.</h3>

a. Convert to decimals.

To order the numbers from least to greaters, convert them to decimals and compare.

$5.2(percent)=0.052\\ \\\frac{1}{7} =0.1429\\\\ -0.8=-0.8000\\ \\\frac{-11}{5} =-2.2$

b. Select the second least number.

-0.8.

<h3>Exercise 2.</h3>

a. Convert to decimals.

$-3.4(percent)=-0.034\\ \\-0.031\\\\ -0.2\\ \\-\sqrt{0.8}= -0.8944$

b. Select the correct number.

$-\frac{1}{5}$ .

<h3>Exercise 3.</h3>

a. Convert to decimals.

<em>After seeing that there are negative and positive numbers, and with the premise that negative numbers are </em><u><em>always</em></u><em> lesser than positive numbers, we'll only compare the positive numbers.</em>

<em>59%=0.59</em>

<em>3/5=0.6</em>

<em />

b. Select the correct number.

3/5.

<h3>Exercise 4.</h3>

a. Convert to decimals.

-0.35

-3.5%= -0.035

b. Conclude.

Seeing that -3.5% is less than -0.35, the symbol that makes the statement true is ">".

<h3>Exercise 5.</h3>

a. Try to visually estimate b.

B appears to have a value of -0.9.

b. Convert the numbers to decimals.

-3.4%= -0.034

-0.031

-1/5= -0.2

$-\sqrt{0.8}= -0.8944$

c. Select the correct answer.

<em>Since we estimated the value of b as -0.9, the number that best adequates to its value is </em> $-\sqrt{0.8}$ .

<h3>Exercise 6.</h3>

a. Convert to decimals.

<em>After seeing that there are negative and positive numbers, and with the premise that negative numbers are </em><u><em>always</em></u><em> lesser than positive numbers, we'll only compare the positive numbers.</em>

5.2%= 0.052

1/7= 0.1429

b. Select the correct number.

5.2% is the second largest.

<h3>Exercise 7.</h3>

a. Convert to decimals.

6/7= 0.857143

0.857

b. Select the correct answer.

Seeing that 0.857 is marked as an approximate by the

ellipsis, and considering that 6/7 is an irrational numbers, we can conclude that the number that better fits the situation and makes the statement true is "=".

<h3>Exercise 8.</h3>

a. Convert to decimals.

<em>After seeing that there are negative and positive numbers, and with the premise that negative numbers are </em><u><em>always</em></u><em> lesser than positive numbers, we'll only compare the negative numbers.</em>

<em>-4.6</em>

<em /> $-\sqrt{21} =-4.5826$

b. Select the correct answer.

The smallest number is -4.6.

7 0

1 year ago

You earn $15 every 3 weeks. at this rate how much will you earn in 5 weeks

zhannawk [14.2K]

Answer:

$25

Step-by-step explanation:

We know that in 3 weeks you get $15 now you can divide 3 by 15 to get $5 per week so since we know how much you earn per week you multiply $5 by 5 weeks to get $25

4 0

2 years ago

Read 2 more answers

FInd the solution for 4(x - 5)=2(x - 10) +2x

crimeas [40]

Hello!

You solve this like an algebraic equation

You first distribute the 4 and 2

4x - 20 = 2x - 20 + 2x

Combine like terms

4x - 20 = 4x - 20

subtract 4x from both sides

-20 = 0x - 20

Add 20 to both sides

0 = 0

This means that there are infinite solutions to the equation.

Hope this helps!

3 0

3 years ago

Read 2 more answers