8. What is the surface area of a square pyramid that has a base of 5 cm and
triangle heights of 8 cm.*

Answers

Answer 1
The answer is 40. 5 x 8, height x base = area
Answer 2

Answer:

105cm squared

Step-by-step explanation:

I put my answer here before, but somehow it got deleted, so I'm typing it again.

A square-based pyramid is made up of one square and four triangles.

We know that one side of the square is 5cm. And since all four sides of the square are the same, we know that the base is 5 x 5.

5 x 5 = 25

Therefore, the area of the base is 25cm squared.

Now, we need to find the area of one triangle. To find the area of a triangle, we multiply the base by the height, then halve it. We know that base of the triangle is 5cm as it shares a side with the square. We also know that the height of the triangle is 8cm.

5 x 8 = 40

40 / 2 = 20

Therefore, the area of one triangle is 20cm squared.

But wait! There are 4 triangles, not just one. Which means we have to multiply the area of one triangle by 4.

4 x 20 = 80

Add everything together:

25 + 80 = 105

Therefore, the total surface area of the square-based pyramid is 105cm squared.


Related Questions

Find the area of the composite figure​

Answers

As it is a composite shape we would split the shape up so we get a triangle and a square

Then we would work out the area of the square and the triangle

Area of a square = length x width
Area of a triangle = 1/2 base x height

Area of a square = 10 x 15 = 150
Area of a triangle = 1/2 15 x 5 = 37.5

(5 is the height of the triangle as you do 15-10 to work out the height of just the triangle

To get the total area we just combine both areas using addition

37.5+150=187.5

Answer:187.5ft squared

Hope this helped

y is inversely proportional to the square of p, can be written as: y = O True O False​

Answers

Answer:

False

Step-by-step explanation:

It should be ∝ .. if that’s what your asking

The Athens-Clarke Country Wildlife Resource Center wanted to encourage wildlife preservation efforts among students in its summer camp. In the past, it would run a particular curriculum, then gauge students' interest in wildlife preservation in a test at the end of the camp. Historically, the average on this final test to gauge preservation interest was 35.3 (out of 100).

Last summer, the resource Center created a new curriculum focusing on campers interacting directly with wildlife to promote preservation efforts. This included efforts in species dentrication handling of wild animals, and directoration of animals in habitat The Resource Center considers the collection of 40 to be a random samping from the population of campers they will encounter They need your help to determine whether this new curriculum Improves impressions about witte preservation. For their 40 scores at the end of lut summer, they found a sample mean of 26.58 and a standard deviation of 3.18.

Required:
What are the null and alternative trypotheses?

Answers

Answer:

H0 : u ≤ 0.353  

Ha: u > 0.353

Step-by-step explanation:

The null and alternate hypotheses are formulated by the given claim. The claim is mostly set as the alternate hypothesis and the opposite of the alternate hypothesis is the null hypothesis.

In this question the given statement is the average on this final test to gauge preservation interest was 35.3 (out of 100). This can be used as the null hypothesis.

H0 : u ≤ 0.353  

The claim is also given which is To test whether the  new curriculum Improves impressions about witte preservation.

against the claim Ha: u > 0.353

Therefore it will be a one tailed test.

VX
What is the measure of _c?
148
С
42
90°
42
48
O 42°
O 48°
O 90°
180°

Answers

Answer:

48

Step-by-step explanation:

One nice, reliable thing about triangles is that their interior angles will ALWAYS add up to 180 degrees.  So, if one angle is 43 degrees and the other angle is 48 degrees, we can see that

180 - 43 - 48 = 89

Now, the tricky part: how to determine which type of triangle this is.

An acute triangle is one in which all interior angles are less than 90 degrees.  An isoceles triangle is one in which two of the interior angles are the same, while the third is different.  An obtuse triangle is one in which one of the interior angles is greater than 90 degrees.  A right triangle is one in which one of the interior angles is equal to 90 degrees.

We distinguish between these different types because they each have useful, but different, properties.

By these definitions, it is clear that the triangle in question is acute.

This week Andres will practice with his band for 1 1\2 hours Monday, 1 3\4 hours on Tuesday, and 2 hours Wednesday. Next week Andre will practice with his band for the same number of hours on Monday Tuesday Wednesday. What was the total number of hours Andre will practice with his band over these 6 days?


A: 5 1/4 hours

B: 10 1/2 hours

C: 4 1/4 hours

D: 8 1/2 hours

Answers

Answer:

Step-by-step explanation:

How many pairs of glasses can we make with the foil beads and how many foil beads will be left over ?

Answers

Answer:

I hate to break it, but you ain't giving any information or numbers

If u want to know what students think is the best season of the school year from school 76, what is the best way sample the students?

Answers

Answer:

B

Step-by-step explanation:

this will include all people and not just a specific group like all in a certain grade/s or all in the same class

Answer: break them up into parts

Step-by-step explanation:

Write the polynomial in factored form as a product of linear factors:
p(a) = a^3 + 3a^2+ 9a + 27
zeros of polynomial.

Answers

Answer:

Step-by-step explanation:

p(A) = a^3 + 3a^2 + 9a + 27

put brackets around the 1st and second terms and another set around the 3rd and 4th

P(a)= (a^3 + 3a^2) + (9a + 27)

Using the distributive property, pull out the common factor for each of the 2 terms that contain the brackets.

P(a) = a^2 ( a + 3) + 9(a + 3)

Let a + 3 = x

P(a) = a^2x + 9x

Put brackets around these 2 terms

P(a)= x(a^2 + 9)

Substitute a + 3 for x

P(a) = (a + 3) ( a^2 + 9)

Which expression has a value of 39?

A 24 X 2 - 8 + 42 divided by 8 - 6

B 24 X 2 - 8 + 42 divided by (8 - 6)

C 24 X (2 + 8) + 42 divided by 8 - 6

D 24 X 2 - (8 + 42) divided by 8 - 6

Answers

Answer:

A

Step-by-step explanation:

48 - 8 +5.25-6 = 39.25

b 48 -8 + 21 = 61

c 240+5.25-6= 239.25

d 48 -50/8 - 6 = 35.75

can you please help me out if you know this answer

Answers

Step-by-step explanation:

A strike in bowling meant all 10 pins knocked down.

In this case, there is only 1 strike

Speedy crawled 5/9 yards. Slimy crawled 4 times as far as speedy. How far did slimy crawl?​

Answers

Answer:

2 2/9 yards or 20/9 yards

Step-by-step explanation:

Slimy went 4 times as much as Speedy did so that means 5/9 x 4 yards which is the same thing as 5 x 4/9 so 5 x 4/9 equals 20/9 or 2 2/9 so Slimy crawled 2 2/9 yards.

Help needed! Please needed ASAP!

Answers

Answer:

7)Bagel costs $3.5 and muffin cost $1.25

8) Ticket is $9 while snacks are $2

9) Correct because left hand side is zero

10) Correct because they both have same slope and same y-intercept

Step-by-step explanation:

7) Let bagel be x and muffin be y.

Thus;

For Aaron;

x + 3y = 7.25 - - - (1)

For bee;

x + 2y = 6 - - - (2)

Subtract eq 2 from eq 1 to get;

y = 1.25

Put 1.25 for y in eq 2;

x + 2(1.25) = 6

x + 2.5 = 6

x = 6 - 2.5

x = 3.5

Bagel costs $3.5 and muffin cost $1.25

8) Let movie ticket be x and snacks be y.

Thus;

2x + 3y = 24 - - - (1)

3x + 4y = 35 - - - (2)

Multiply eq(1) by 3 and eq(2) by 2 to get;

6x + 9y = 72 - - - (3)

6x + 8y = 70 - - - (4)

Subtract eq 4 from eq 3 to get;

y = 2

Put 2 for y in eq 3;

6x + 9(2) = 72

6x + 18 = 72

6x = 72 - 18

6x = 54

x = 54/6

x = 9

Ticket is $9 while snacks are $2

9) using elimination, subtract eq 1 from eq 2, we will see that the entire left hand side is equal to zero.

Thus, no solution exists because we can't isolate the variable to get an answer.

10) The answer is correct because for a system of 2 simultaneous equations to have infinite solutions, they both have to have the same y-intercept and also same slope.

In this case, their y-intercept which is when x is 0 is;

3(0) + y = 9

y = 9

Their slope is also the same equal to 3.

A rocket is launched from atop a 74-foot cliff with an initial velocity of 113 ft/s. The height of the rocket above the ground at time t is given by h=16t^2+113t+74. When will the rocket hit the ground after it is launched? Round to the nearest tenth of a second.

Answers

9514 1404 393

Answer:

  7.7 seconds

Step-by-step explanation:

The solution is given by the quadratic formula.

For ax² +bx +c = 0, the roots are ...

  x = (-b±√(b²-4ac))/(2a)

We want the positive root, so ...

  x = (-113 -√(113² -4(-16)(74)))/(2(-16)) = (113 +√17505)/32 ≈ 7.6658

The rocket will hit the ground about 7.7 seconds after it is launched.

An expression is shown below:

2x3y + 8xy − 4x2y − 16y

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

Plz help, give good answer and get brainlest!!

Answers

Answer:

2y is greatest common factor

Add and subtract the second term to the expression and factor by grouping.

2y(x−2)(x2+4) is the factor

Step-by-step explanation:

Answer:

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

answer:

2y(x³+4x-2x²-8)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

answer:

2y(x³+4x-2x²-8)

2y(x³-2x²+4x-8)

2y(x²(x-2)+4(x-2))

2y(x²+4)(x-2)

what is another ratio that is equivalant to 5:3 and 10:6?

Answers

Answer:

5:3 = 10:6

10:6 = 20:12 or 5:3

Find the missing angle in the triangle,

36°
111°

Answers

Answer:

33°

Step-by-step explanation:

you add the two numbers together and subtract from 180° to get your answer

Find the area of this parallelogram, top= 14 left= 11 right = 10

Answers

Answer:

140 cm^2

Step-by-step explanation:

Formula for area of a Parallelogram: base*height

14 cm * 10cm = [tex]140 cm^{2}[/tex]

What is the surface area of the triangular prism?

Answers

Answer:

The answer is 168!

Step-by-step explanation:

6*4=24 (There are two triangles so you don't have to divide by 2, 24 is simply the answer to both), 6*9=54, 5*9*2=90, 90+54+24=168! I hope this helps! Have a great rest of your day!

Answer:

A≈114.12

Step-by-step explanation:

A=2AB+(a+b+c)h   AB=s(s﹣a)(s﹣b)(s﹣c)

              s=a+b+c/2

                              A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=9·5+6·5+4·5+1

2·﹣94+2·(9·6)2+2·(9·4)2﹣64+2·(6·4)2﹣44≈114.12459

here is the full explanation , I took a blackboard pavcs math quiz

Vhat is the domain of the function y = In {-x+3/2}

Answers

Answer:

(-∞,3/2),{xIx<3/2}

Step-by-step explanation:

Using inverse function concepts, the correct option is:

B. Domain: x < -2 Range: y> 3

What is domain?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in

here, we have,

we know that,

The domain of a function is the set that contains all possible input values.

The range of a function is the set that contains all possible output values.

In the inverse function, input and output are exchanged, thus, domain and range are also exchanged.

For the original function, the domain is x > 3 and the range is y < -2.

Thus, for the inverse function, the domain is x < -2 and the range is y > 3, which means that option B is correct.

learn more on domain at :

brainly.com/question/24603090

#SPJ7

Complete question:

The domain of a function h(x) is x > 3, and the range is y2 -2. What are the domain and range of its inverse function, h-1(x)?

A. Domain: x>3 Range: y2 -2

B. Domain: x2 -2 Range: y> 3

C. Domain: x>-2 Range: y> 3

D. Domain: x2 3 Range: y> -2 ​

Anyone know how to do this people are answering the question but aren’t choosing two anwsers

Answers

Answer:

Option B and Option D are the two answers

Tell whether the statement is true or false.
{ {4, 16, 24, 7, 37} = (37, 16, 7,42,4}​

Answers

Answer:

false

Step-by-step explanation:

i dont understand kinda

but if you add it,

88<106

so false

100 POINTS AND BRAINLIEST IF YOU USE EXPLANATION

What type of table or graph do you use to help you make a histogram?

A.
a dot plot

B.
a frequency table

C.
a circle graph

D.
a bar graph

Answers

Answer:

B

Step-by-step explanation:

Answer:

D. a bar graph

Step-by-step explanation:

a bat graph because it keeps track of data that changes over time

Jill is flying a kite that has a 30ft. long string. If Jill is 5.4 ft. tall and her arm is making a 31-degree angle with the ground, how high is the kite in the air?

Answers

Answer:

20.85ft

Step-by-step explanation:

height of kite = person's height + vertical component of kite at the angle

= 5.4ft + 30sin31

=20.85ft

You have 42 peaches and want to share them equally with 6 people. How many peaches will each person get? Please be sure to write your answer in a complete sentence.

Answers

Answer:

7

Step-by-step explanation:

I did the math on a calculator

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

Angles and XWY and STR

Step-by-step explanation:

These two angels are alternate exterior angels because:

- They are on different sides of the transversal (the line intersecting the two parallel lines)

- They have the same angle measure

- They are exterior, meaning they are on the outside, not inside (interior)

Hope this helps!!! :)

In the figure below, m2 1=(x-12)° and mZ2 =5xº.
Find the angle measures.

Answers

Answer:

15 165

Step-by-step explanation:

m1 + m2 = 180

x-18 +5x = 180

6x = 198

x = 33

m1 = 15

m2 = 165

which is most likely the next step in the series?​

Answers

Answer: the correct answer is a

Step-by-step explanation:

11-square root of x where x=64

Answers

Answer = -3,-19 to 11-square root of x where x=64

Kathy bought 5 pencils for the price of $6.30. Which equation represents r, the cost, in dollars, of each pencil?
A.r=6.30+5
B.r = 6.30÷5
C.r=6.30×5
D.r=6.30−5

Answers

9514 1404 393

Answer:

  B.  r = 6.30÷5

Step-by-step explanation:

The cost per pencil is found by dividing the cost by the number of pencils.

Here, the cost is $6.30 and the number of pencils is 5. Then the cost per pencil (r) is ...

  r = 6.30 ÷ 5

3.The probability of drawing a pearl bead out of a bag of mixed beads is 2/3. What is the probability of drawing a bead which is NOT pearl?

Answers

Answer:

1_2/3

=1/3 or 0.33

Step-by-step explanation:

Probability is not more than 1..

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