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3 years ago

12

What is the total surface area of the pyramid in square feet?

1 answer:

Elis [28]3 years ago

5 0

Base is 12 feet square so 12 *12 = 144 square feet

each triangle has base of 12 feet and height of 8 feet
area of triangle = 1/2 x base x height = 1/2 x 12 x 8 = 48 square feet

48 x 4 triangles = 192 square feet

total: 192 + 144 = 336 square feet

You might be interested in

Solve the system of equations y = x + 5 and y = 5x - 11 using a graphical method.

tresset_1 [31]

You can use substitution for this.

x+5 = 5x -11

Combine like terms

16=4x

Divide 4 on both sides to isolate the x

x=4

Plug x=4 to one of the equations

y= 4 +5

Combine like terms

y=9

So the answer is A. (4,9)

I hope this helps you out a bunch hun :)

4 0

2 years ago

The length of a rectangle is 5.2cm and its breadth is 3.4cm. What is the area of the rectangle?

Rainbow [258]

Answer:

$\huge{ \boxed{ \sf{17.68 \: {cm}^{2} }}}$

Step-by-step explanation:

$\underline{ \text{Given}} :$

$\longrightarrow \sf{ \: Length \: of \: a \: rectangle \: = \: 5.2 \: cm}$

$\longrightarrow{ \sf{Breadth \: of \: \: rectangle \: = \: 3.4 \: cm}}$

$\underline{ \text{To \: find} } : \sf{Area \: of \: a \: rectangle}$

$\boxed{ \sf{Area \: of \: a \: rectangle \: = \: Length \: \times \: Breadth}}$

$\mapsto{ \sf{Area \: = \: 5.2 \: cm \: \times \: 3.4 \: cm}}$

$\mapsto{ \sf{Area \: = \: 17.68 \: {cm}^{2} }}$

Hope I helped!

Best regards! :D

~ $\text{TheAnimeGirl}$

5 0

2 years ago

What is 3 in a+ b- in C written as a single logarithmn?

Leona [35]

There are a lot of other step that will be in between but the answer will end up being.....

Answer: Log (a^2c/ b^3 d^4)

4 0

2 years ago

PLZ HELP...Enter in standard form the equation of the line passing through the given point and having the given slope.

Alenkinab [10]

Standard form for the equation of the line is

$$y=-\frac{2}{3} x-\frac{25}{3}$

Solution:

Given point is (2, –5).

slope of the line m = $-\frac{2}{3}$

Here, $x_1=2, y_1=-5$

Equation of a line passing through the point:

$y-y_1=m(x-x_1)$

$$y-(-5)=-\frac{2}{3} (x-(-5))$

$$y+5=-\frac{2}{3} (x+5)$

$$y+5=-\frac{2}{3} x-\frac{10}{3}$

Subtract 15 from both sides of the equation.

$$y+5-5=-\frac{2}{3} x-\frac{10}{3}-5$

$$y=-\frac{2}{3} x-\frac{25}{3}$

Standard form for the equation of the line is

$$y=-\frac{2}{3} x-\frac{25}{3}$

7 0

2 years ago

7.1.35-T Question Help You are the operations manager for an airline and you are considering a higher fare level for passengers

shusha [124]

Answer:

You must survey 784 air passengers.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Assume that nothing is known about the percentage of passengers who prefer aisle seats.

This means that $\pi = 0.5$ , which is when the largest sample size will be needed.

Within 3.5 percentage points of the true population percentage.

We have to find n for which M = 0.035. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.035 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.035\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.035}$

$(\sqrt{n})^2 = (\frac{1.96*0.5}{0.035})^2$

$n = 784$

You must survey 784 air passengers.

6 0

2 years ago