1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elina [12.6K]
3 years ago
11

Andy is building a model of a square pyramid for a class project. The side length of the square base is 11 inches and the slant

height of the pyramid is 15 inches. What is the surface area of the model pyramid?​
Mathematics
1 answer:
Wewaii [24]3 years ago
6 0

Answer:

The surface area of the model pyramid is 451\ in^{2}

Step-by-step explanation:

we know that

The surface area of the pyramid is equal to

SA=B+LA

where

B is the area of the base of the pyramid

LA is the lateral surface of the pyramid

<em>Find the area of the base B</em>

B=11^{2}=121\ in^{2} -----> is a square

<em>Find the lateral surface area of the pyramid LA</em>

we know that

The lateral surface area is equal to the area of its four triangular faces

LA=4[\frac{1}{2}(11)(15)]=330\ in^{2}

<em>Find the surface area of the pyramid</em>

Substitute the values

SA=121+330=451\ in^{2}

You might be interested in
A hose is leaking water at a rate of 2 oz/h. How many cups of water will leak out after 2 weeks?
Over [174]

Answer:

84 cups of water will leak out after 2 weeks

Step-by-step explanation:

* Lets how many how to change oz to cup

- One cup contains 8 oz

- We can use the ratio to solve this problem

- A hose is leaking water at a rate of 2 oz/h

- We need to find how many cups of water will leak out after 2 weeks

∵ The rate of the water leak out is 2 oz/hr

∵ 1 cup contains 8 oz

∴ 1 oz = \frac{1}{8} cup

∴ 2 oz = 2 × \frac{1}{8} = \frac{2}{8} = \frac{1}{4} cup

∴ The rate of the water leak out = \frac{1}{4} cup/h

∵ 1 day = 24 hours

∵ 1 week = 7 days

∴ 1 week = 7 × 24 = 168 hours

∵ The number of hours in 1 week is 168

∴ The number of hours in 2 weeks = 168 × 2 = 336 hours

⇒    cups    :    hours

⇒      \frac{1}{4}         :   1

⇒     x         :    336

- By using cross multiplication

∴ x = 336 × \frac{1}{4}

∴ x = 84

- x represents the number of cups of water leak out

<em>84 cups of water will leak out after 2 weeks</em>

5 0
4 years ago
What is greater .5 or .126
levacccp [35]

Answer:

<h2>0.5</h2>

Step-by-step explanation:

0.5 = 0.500

<em>you can add as many as you want 0 after the decimal point. This will not change the value of the number</em>

126 < 500

Therefore

0.126 < 0.500

6 0
4 years ago
Steve is managing a skate park and has been analyzing the attendance data. Steve has found that the number of visitors increases
SashulF [63]

Answer:

Suppose that the equations are:

The number of people increases exponentially as the temperature increases, so we can write this as a simple exponential relation.

N(T) = a0*r^(T)

Also, the number of people that leaves the park as the temperature increases are:

M(T) = a*T + b

So the combination of these equations can say the number of people that are arriving to the park minus the number of people that are leaving, this would be:

N(T) - M(T) = total change in the park population as the temperature changes = C(T)

C(T) = a0*r^(T) - a*T - b

5 0
3 years ago
Read 2 more answers
After shopping for school supplies, Martin came home with $4. He bought a pack of pens for $6, a calculator for $12 and a notebo
olga55 [171]
Ge started with 25$ for a pack of pens
8 0
3 years ago
Read 2 more answers
Helppppp please!!! D:<br><br> Find the perimeter of the trapezoid below:<br> Please no cap!!
Gnesinka [82]

Answer:

Step-by-step explanation:

P=a+b+c+d = this is your name ok

7 0
3 years ago
Other questions:
  • Write each function in function notation: a) = 5 + 2 b) = |3 − 1| c) = 2 + 5 − 8
    7·2 answers
  • What names apply to the square root of 9?
    6·1 answer
  • If a line has a slope of 3, what is the slope of a perpendicular line?
    9·1 answer
  • enrollment in the ski/snowboard club increased by 30% this year. there are now 182 students in the club. how many students were
    11·1 answer
  • The form of the alternative hypothesis can be: A. neither one nor two-tailed B. two-tailed C. one or two-tailed D. one-tailed
    7·1 answer
  • State whether the data described below are discrete or? continuous, and explain why. The volumes left parenthesis in cubic feet
    10·1 answer
  • Simplify:<br> (8.9 x 10^4)(4 x 10^8)
    12·1 answer
  • There are 15 juniors and 10 seniors in a class. What is the probability that if two students are selected at random that they ar
    8·1 answer
  • Convert this quadratic formula into standard form: y=-3(x-4)^2-8<br><br>(HELP ASAP PLZ)
    5·1 answer
  • Nina’s garden is 4 1/5 meters long and 3/10 meter wide. What is the area of Nina’s garden
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!