All categories

4 years ago

What is the surface area of this square pyramid?

Mathematics

1 answer:

Otrada [13]4 years ago

8 0

Answer:

33 ft²

Step-by-step explanation:

The formula for the surface area of a square pyramid is:

SA = b² + 2bs

Where b is the measure of the base and s is the slant height

Let's substitute into this equation:

SA = b² + 2bs

SA = 3² + 2(3)(4)

Solve:

SA = 3² + 2(3)(4)

Square 3:

SA = 3² + 2(3)(4)

SA = 9 + 2(3)(4)

Multiply:

SA = 9 + 2(3)(4)

SA = 9 + (6)(4)

SA = 9 + 24

Add:

SA = 9 + 24

SA = 33

Therefore, the surface area is 33 square feet.

You might be interested in

Complete the steps to solve the radical equation. 7 – x = x2 + 10x + 25 0 = x2 + 11x + 18 The equation has two possible solution

Strike441 [17]

There is no extraneous solution, while true solutions are x= -2 and x = -9

Step-by-step explanation:

We need to find the value of x from the equation:

$7-x = x^2 + 10x + 25$

$x^2 + 11x + 18=0$

Factorizing the equation:

$x^2 + 11x + 18=0\\x^2+9x+2x+18=0\\x(x+9)+2(x+9)=0\\(x+2)(x+9)=0\\x+2=0\,\,and\,\,x+9=0\\x=-2\,\,and\,\,x=-9\\$

So, values of x are: x= -2 and x = -9

Now, finding extraneous solution and true solution

Putting value of x in original equation

x= -2

$7-x = x^2 + 10x + 25$

$7-(-2) = (-2)^2 + 10(-2) + 25\\7+2=4-20+25\\9=4+5\\9=9$

Since -2 satisfies the given equation, so it is true solution.

Putting x = -9

$7-x = x^2 + 10x + 25\\7-(-9)=(-9)^2+10(-9)+25\\7+9=81-90+25\\16=16$

Since -9 satisfies the given equation, so it is true solution.

So, There is no extraneous solution, while true solutions are x= -2 and x = -9

Keywords: solve the radical equation

Learn more about solve the radical equation at:

#learnwithBrainly

7 0

4 years ago

Read 2 more answers

jorge took a speed reading class last saturday from 9 am to 4 pm. he learned that he can speed read 330 pages of a novel in one

garri49 [273]

Answer:

1hr = 60min

225min/ 60min = 3.75 hr

330 pgs. * 3.75hr = 1237.5 pages

He read 1237.5 pages in 225 minutes.

7 0

4 years ago

If sin ⁡x=−1/2, and 270° * <br> If 180°<θ<270°, and sin⁡θ=−3/4, what is the value of sin(−θ)?

dolphi86 [110]

Answer:

For each of the three basic trig functions, (sin, cos, tan) there are three more which act as their reciprocals. (csc, sec, and cot respectively)

Reciprocals, of course, are flipped fractions. If you have some number x, the reciprocal can be expressed as .

An important property of reciprocals is that if you mutliply them together they will cancel out--take for example.

Since secӨ is literally defined as the reciprocal of cosӨ, it is evident that

Read more on Brainly.com - brainly.com/question/505406#readmore

Step-by-step explanation:

3 0

4 years ago

Is the ordered pair (-10, 7) a solution to the equation y = 17 – x? yes or no

DerKrebs [107]

Yes the ordered pair is a solution

8 0

4 years ago

1 point) during a winter season at one ski resort, there are two roads from area a to area b and two roads from area b to area

miss Akunina [59]

Probability that both roads from a to b are blocked is the product of the individual probabilities, i.e.
P(~ab)=0.25*0.25=0.0625
Similarly
P(~bc)=0.25*0.25=0.0625
Probability that EITHER one or both of ab and bc are blocked is the sum of the probabilities:
P(~ab ∪ ~bc)=0.0625+0.0625=0.125
(recall that one cannot travel from a to c if either ab or bc is blocked.)

Therefore the probability that there exists an open route from a to c
= P(ac) = 1-P(~ab ∪ ~bc)
= 1 - 0.125
=0.875

5 0

4 years ago