A square pyramid is made up of a base with a side length of 10 inches and faces that are triangles with a height of 12 inches. What is the surface area of the square pyramid?


A. 120 square inches

B. 125 square inches

C. 240 square inches

D. 340 square inches

Answers

Answer 1

Answer:

The correct option is D

D) 340 inch²

Step-by-step explanation:

The base of the pyramid is a square with side 10 inch

Area of square base = Length · Width = 10 · 10

Area of square base = 100 inch²

Height of triangle = 12 inches

Base of triangle = 10 inches

Area of triangle = (1/2)(Height)(Base) = (1/2)(12)(10)

Area of triangle = 60 inch²

Total number of triangles in a pyramid = 4

Total Area of 4 triangles = 4 · 60 inch²

Total Area of 4 triangles = 240 inch²

Surface Area = Area of 4 triangle + Area of the square base

Surface Area = 240 inch² + 100 inch²

Surface Area = 340 inch²

Answer 2

Answer:

The Answer would be D

Step-by-step explanation:

This Answer would also apply to E2020 test/exam


Related Questions

Which of the following functions best describes this graph?

Answers

Answer:

Answer D is correct.  The two factors (x - 6) and (x - 3) become zero at x = 6 and x = 3, respectively, showing the x-intercepts of this graph.  Additionally, we can see that the sign of the leading coefficient of f(x) = (x - 6)(x - 3) is +, which indicates that the curve opens up.  This agrees with the given graph.

Step-by-step explanation:

The two factors (x - 6) and (x - 3) become zero at x = 6 and x = 3, respectively, showing the x-intercepts of this graph.  Additionally, we can see that the sign of the leading coefficient of f(x) = (x - 6)(x - 3) is +, which indicates that the curve opens up.  This agrees with the given graph.  Answer D is correct.

Answer:

Correct answer is A

Step-by-step explanation:

Took getting the answer wrong to get the right answer. dont let my sacrifice mean nothing, leave a thanks.

find the values of x and y​

Answers

Answer:

x = 85 Degrees

y = 85 Degrees

Step-by-step explanation:

20 Degrees + 90 Degrees -->

90 and 20 are given => 110 Degrees

e triangle angles sum = 180 Degrees

180 - 110 = 70 Degrees

=> Vertical angles so 25 + x + 70 = 180

x = 85

x + (z) = 180 e sum of half 360

85 + z = 180

z = 95 Degrees

--> z + (y) = 180 e same as above (sum of interior angles)

95 + y = 180

y = 85

Hope this helps!

What is the product of (5 m Superscript negative 2 Baseline) (2 m Superscript negative 3 Baseline)?


StartFraction 7 Over m Superscript 5 EndFraction

7m6

StartFraction 10 Over m Superscript 5 EndFraction

10m6

Answers

Answer:

C ) 10/m⁵

Step-by-step explanation:

In this question, we have to find the product of two terms

First term = 5 m⁻²

Second term = 2 m⁻³

Product of both terms = (5 m⁻²) · (2 m⁻³)

The simple way of calculating product of these two term which involves constants as well as variable is that we multiply the constants together:

5·2 = 10

And we multiply the variables. According to the rules of multiplication, when 2 same constants or variables are multiplied, we can just add their powers to get the result.

(m⁻²) · (m⁻³) = m⁻²⁻³ = m⁻⁵

The product of both terms can be written as:

(product of constants)(product of variables) = (10)(m⁻⁵) = 10/m⁵

So the correct option is C

Answer:

C 10/m^5

Step-by-step explanation:

Please help me ASAP!!!

Answers

Answer:

Yes

No

Yes

No

Step-by-step explanation:

9, 15 have 3 as the GCF

12, 18 have 6 as the GCF

15, 27 have 3 as the GCF

30, 45 have 15 as the GCF

represent the geometric series using the explicit formula. 2, -8, 32, -128, ...​

Answers

Answer: Add the numbers that are going in order but make sure you do it with the minus numbers

Step-by-step explanation:

What are the coordinates of the centroid of a triangle with vertices at D (0, 0), E (–8, 0), and F (–7, – 6)? ANSWERS: A) (–5, –2) B) (2, 5) C) (–2, –5) D) (5, 2)

Answers

Answer:

A) ( -5 , -2)

Centro-id of  a triangle  = ( -5 , -2)

Step-by-step explanation:

Given  the  vertices at D (0, 0), E (–8, 0), and F (–7, – 6)

Centro-id of triangle

                     =  [tex](\frac{x_{1} + x_{2} + x_{3} }{3} ,\frac{y_{1}+y_{2} +y_{3} }{3} )[/tex]

                    = [tex](\frac{0-8-7 }{3} ,\frac{0+0-6 }{3} )[/tex]

                    = [tex](\frac{-15}{3} ,\frac{-6}{3} )[/tex]

                    = ( -5 , -2)

Final answer:-

Centro-id of  a triangle  = ( -5 , -2)

Answer:

(-5,-2)

Step-by-step explanation:

I took the exam and got the question correct :)

What is the area of a rectangle with vertices (-8, -2), (-3,-2).(-3,-8), and (-8, -B)?

Answers

Answer:

The area of the rectangle would be 20 square units.

Step-by-step explanation:

The distance between the points (-8, -2) and (-3,-2) is 5. This is the length of the rectangle.  The distance between (-3,-6) and (-3,-2) is 4. This is the width of the rectangle. To find the area, multiply the length and the width to get the 20 square units as the area.

Answer:

Area = 20

As B = -4

Where -3-1 = -4

We look at x for first measure = -8 -3 = 5

We look at y first sequence change for second measure = -B

x/y = -3-8 /-8 + B

= -3-8 = -8(-8)+B

B = -3+B = -3+1

B= -3+1 = -4

Second measure = -8-4 = 4

Therefore, using both measures in bold : the Area = 4 x 5  = 20  

Step-by-step explanation:

Carmela wants to take out a loan for a car. Which benefit will Carmela receive if she makes a down payment when she obtains the loan?
A. a decrease in the total cost of the loan
B. no penalties for late payments
C. an increase in the loan term
D. an increase in the principal amount​

Answers

Answer:

A) a decrease in the total cost of the loan

Step-by-step explanation:

plato/edmentum

Besides, there's very, very rarely no penalties for late payments and making a down payment wont prevent that. It wont increase the loan amount because you are paying more in advance. It also wont increase the principal amount, in fact, it decreases it.

If a line falls on the points (18, 17) and (8,8), what is its slope? Enter your
answer as a fraction in lowest terms. Use a slash mark (/) as the fraction
bar.​

Answers

[tex]\text{Find the slope}\\\\\text{Use the slope formula:}\\\\\frac{y2-y1}{x2-x1}\\\\\text{Plug in the coordinates and solve:}\\\\\frac{8-17}{8-18}\\\\\frac{-9}{-10}\\\\\text{Two negative cancel each other out to make a positive}\\\\\boxed{\frac{9}{10}\,\,or\,\,9/10}[/tex]

Answer:

f(x)= 9/10x

Step-by-step explanation:

17 -8             9

-------    =      ---

18-8             10

y= mx + b

That is the unit rate, but now we have to find (b) (where on the y axis the line goes through) and if you trace the line back you can clearly see that it goes through 0, which you do not need to write down, but you can if it gives you peace.

Help will give brainliest

Answers

Answer:

C

Step-by-step explanation:

55% is the same thing as 0.55. 0.55(300) equals 165

Hope this helps! Please give brainliest!!

C
Here’s how you do it:
55/100=x/300
x=165

The graph shows the solution to a system of inequalities: Solid line joining ordered pairs 0, 3 and 7, 0. Shade the portion of the graph below the line in the first and fourth quadrants.

Answers

Answer:

Consider the point (0,3) as point A.

Consider the point (7,0) as point B.

Plot both point on the graph.

Graph a line which passed through both the lines.

There are two conditions given to us in the question.

First condition is the we have to shade the graph below the given line.

The blue region in the graph satisfies this condition.

Second condition is that we have to shade the first and fourth quadrant, which means than the value of x is equal to or greater than zero. Red region satisfies this condition.

As the solution is represented by Both the conditions combined.  The purple area satisfies both the conditions, hence solution is given by the Purple Region

The solution is given by the Black Region.

We have two points (0,3) and (7,0)

Plot both point on the graph.  

The line passes through two points (0,3) and (7,0)  

We have two condition

we have to shade the graph below the given line. The black region in the graph satisfies this condition.  we have to shade the region of first and fourth quadrant, which means than the value of x is equal to or greater than zero.

Blue region satisfies this condition.

The solution is represented by Both the conditions combined.  

The Black region satisfies both the conditions.

Therefore, the solution is given by the Black Region.

Learn more:https://brainly.com/question/11957158

Solve x+ y = 5 and 2 x - y = 3

Answers

Answer:

[tex] x=\frac{8}{3}\: \: y=\frac{7}{3}[/tex]

Step-by-step explanation:

Add the two equations:

$ x+y +(2x-y)=5+3$

$\implies 3x=8$

$\implies x=\frac{8}{3}$

Use this value in the first equation:

$\frac{8}{3}+y=5$

$\implies y=\frac{15-8}{3}=\frac{7}{3}$

Answer:

x + y = 5 Equation 1

2x-y = 3 Equation 2

Add both Equations

y will be eliminated so it will be

3x = 8

x = 8/3

Substitute x into equation 1

8/3 + y = 5

y = 5 - 8/3

y= 7/3

x = 8/3 y = 7/3

work out size of angle cde​

Answers

Step-by-step explanation:

CDE = 2x, DEF = x

hexagon = 720°

720 = 115 + 145 + 160 + 90 + 2x + x

720 = 3x + 510

720 - 510 = 3x

210 = 3x

x = 210 ÷ 3

x = 70°

CDE = 2x

= 2(70)

= 140°

pls help will mark brainliest

Answers

Answer:

[tex]1.11111 * 10^{11}[/tex] or [tex]111111000000[/tex]

Step-by-step explanation:

[tex]\frac{6666666*666666}{1+2+3+4+5+6+5+4+3+2+1}[/tex] turns into [tex]\frac{6666666 * 666666}{36}[/tex]

[tex]\frac{777777 * 777777}{1+2+3+4+5+6+7+6+5+4+3+2+1}[/tex] turn into[tex]\frac{777777^{2} }{49}[/tex]

[tex]\frac{6666666 * 666666}{36}[/tex] - [tex]\frac{777777^{2} }{49}[/tex] reduce these turns into

[tex]1111111 * 111111 - 15873 * 777777[/tex] multiply turns into

[tex]123456654321 - 12345654321[/tex] subtract turns into

[tex]111111000000[/tex]

Answer: 111,111,000

Step-by-step explanation: Logically it should be that

In 1995, the USPS approximated that they handled 1.8 x 10^11 pieces of mail. In 2010, the
USPS reported that they handled 1.7 x 10^11 pieces. How many more pieces of mail were
handled in 1995 than in 2010?

Answers

Answer:

[tex]1 \times 10^{10}[/tex] more pieces of mail were handled in 1995 than in 2010.

Step-by-step explanation:

We are given that in 1995, the USPS approximated that they handled  [tex]1.8 \times 10^{11}[/tex] pieces of mail and in 2010, the USPS reported that they handled [tex]1.7 \times 10^{11}[/tex]  pieces.

To find how many more pieces of mail were handled in 1995 than in 2010, we do subtraction of the pieces of mail that were handled in both the years.

Pieces of mail handled in 1995 = [tex]1.8 \times 10^{11}[/tex]

Pieces of mail handled in 2010 = [tex]1.7 \times 10^{11}[/tex]  

As it is clear that more pieces of mail were handled in 1995.

So, Pieces of mail handled in 1995 - Pieces of mail handled in 2010 = [tex](1.8 \times 10^{11}) -(1.7 \times 10^{11})[/tex]

=  [tex]10^{11} \times (1.8 -1.7)[/tex]

=  [tex]10^{11} \times 0.1[/tex] = [tex]1 \times 10^{10}[/tex]

Hence, [tex]1 \times 10^{10}[/tex] more pieces of mail were handled in 1995 than in 2010.

PLEASE HELP! ! ! I need an answer for this one! Please!!

Answers

PART A Answer: 3250

PART A Step-by-step explanation:

3.9 x 10 by the power of 33 = 1287

3.25 x 10 cubed = 3250

Par B answer:

The second one.

This is because if it was the first one the railway and motorway would be too close.

p.s please mark me brainliest!

Hey I’m commenting this so that the person above me can get brainliest. Pls don’t delete :)

Selena has 31 days to complete her quilt for the county fair. The blue squares in the quilt can be sewn at a rate
of 4 squares per day, and the white squares at a rate of 7 squares per day. The quilt can have up to 96 squares
total. The blue fabric b costs about $0.80 per square and the white fabric w costs about $1.20 per square. Selena
wants to keep costs at a minimum. Write an inequality that expresses the total number of squares to be sewn.
Select one:
a. 4b + 7w < 96
b. 4b + 7w < 31
c. b + w <31
O d. b/4 + w/7 < 31

Answers

Answer:

The answer is a

Step-by-step explanation:

Becuase its right

Answer:

This is not an answer, just my though process:

Step-by-step explanation:

The fastest method would use all white squares:

96 white squares would take 13.7 days to complete and cost $115.20.

The cheapest method would use all blue squares:

96 blue squares would take 24 days to complete and cost $76.80.

As we can see, time is not the limiting step, the maximum of 96 squares is limiting.

An inequality equation should use the limiting step for it to be useful. Therefore, a, is most likely the answer.

A more concise answer would be: [tex]4b\leq 96[/tex]

A $20,000 business computer depreciates at a rate of 15% per year. What equation would model the value of the computer?

Answers

Answer:

[tex]A = 20,000(0.85)^t[/tex]

Step-by-step explanation:

We will use the formula for compound interest here

where [tex]A = p( 1 + r)^t[/tex]

   A=future value  for any sum

   P=present value of the sum

   r= yearly interest rate, it should be expressed in  decimal

   t=time period , it should be in years

______________________________

given in the problem

p = $20,000

r = 15% (in decimal 15/100 = 0.15)

t is the time for which equation is to be model to find future value p

since, rate is for depreciation we need to take negative value of rate as value for computer will decrease

thus

r = -0.15

using the above values in formula  [tex]A = p( 1 + r)^t[/tex]

[tex]A = p( 1 + r)^t\\A = 20,000(1 - 0.15)^t\\A = 20,000(0.85)^t[/tex]

Thus, model  equation for the value of the computer is [tex]A = 20,000(0.85)^t[/tex]

A car of mass 1200 kg, travelling at a steady speed of 15 m/s performs an emergency stop which takes 4.5 seconds. What braking force was applied by the driver and car to achieve this?

Answers

Answer:

4000 N

Step-by-step explanation:

this question should be in physics actually

m = 1200 kg

initial velocity = vo = 15 m/s

final velocity = vt = 0 because it stops

time needed = t = 4.5

so we can find the Force F by these step

first find deacceleration

vt = vo + at

0 = 15 + a(4.5)

15 = -4.5a

a = - 15/4.5 = - 10/3 = - 3.33 m/s²

F = m.a = 1200 . 10/3 = 4000 N

i will mark as brainliest and will give 10 pts!!! can someone pls help with this ASAP i need what the notations mean and the answers (with explanation) i will mark as brainliest and its for 20 its

Answers

Answer:

P(AnB') = 1/7

P(A'UB') =5/7

P(B|A)=2/3

Step-by-step explanation:

from the venn diagram A and B shares 1,5

A = {1,4,5} this means sets found in A see the all values in first circle

B = {1,5,8,10,11} this means sets found in B see the all values in second circle

A'={8,10,11,12} this means sets NOT found in A see the all values NOT in first circle

B'={4,12} this means sets NOT found in B see the all values NOT in second circle

AnB={1,5} this means common sets shared by A and B

AuB = {1,4,5,8,10,11} this means sets in A or in B but do not write a number twice, example 1 is in A and B but you write it once.

AnB'={4} this means sets shared by A and B'

A'UB'={4,8,10,11,12} this means sets not in A' or not in B'

n=7 (count all the numbers you see)

I have written all the sets so we now solve for probabilities

P(A) = (numbers in A/All numbers (n) =3/7

P(B) = 5/7

P(AnB) = 2/7

P(AnB') = 1/7

P(A'UB') =5/7

P(B|A)=P(AnB) / P(A) = (2/7) ÷ (3/7) = (2/7)*(7/3) Reciprocal to change divide symbol to times symbol. Seven cancels out and you get 2/3.

I NEED THIS ASAP !! Which expression is modeled by this arrangement of tiles?

30 positive tiles are divided into 3 sets of 10 positive tiles.
30 divided by (negative 30)
30 divided by (negative 3)
30 divided by 3
30 divided by 30

Answers

Answer:

C

Step-by-step explanation:

Answer:

30 divided by 3

Step-by-step explanation:

30 positive tiles are divided into 3 sets of 10 positive tiles.

+30 ÷3 = +10

(08.03 MC)
Solve for x using the Quadratic Formula: x2 - 6x + 9 = 0
-bt/6².
-4ac
X=
2a
A. x = 6
B. x = 3
C. x=1
D. x=0

Answers

Answer:

B. x = 3

Step-by-step explanation:

You really don't need to quadratic formula for this. It would take too much time. Instead, factor out the equation:

(x -3)(x - 3) = 0

Once you found that, you should see that your roots will equal to 3.

Answer:

x=3

solution,

Rewrite x^2-6x+9 in the form a^2-2ab+b^2 where a=X and b=3.

[tex] {x}^{2} - 2(x)(3) + {3}^{2} = 0[/tex]

Use square of difference,

[tex] {(a - b)}^{2} = {a}^{2} - 2ab + {b}^{2} \\ {(x - 3)}^{2} = 0[/tex]

Take the square root of both sides

[tex]x - 3 = 0[/tex]

Add 2 to both sides,

[tex]x - 3 + 3 = 0 + 3 \\ x = 3[/tex]

hope this helps..

Good luck on your assignment..

(139) HELLLLLLLLLLLLLLLLLLLLLLLLLP

Answers

Answer:

Step-by-step explanation:

-3.25a+4a=2-5

0.75a=-3

a = -4

Tell me if its right

You get 3 rolls of coins from the bank. Each roll contains $5. You get 1 roll of each dimes, quarters & half dollars. How many coins does he have in all?

Answers

Answer:

80 coins

Step-by-step explanation:

dimes:5/0.1=50

quarters:5/0.25=20

half dollars: =5/0.5=10

50+20+10=80

What is the value of x?

Answers

Answer : The value of x is 5.

Step-by-step explanation :

According to the angle bisector theorem, an angle bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle.

That means,

[tex]\frac{AB}{BD}=\frac{AC}{CD}[/tex]

[tex]\frac{9}{2x-1}=\frac{15}{3x}[/tex]

By the cross multiplication, we get:

[tex]9\times 3x=(2x-1)\times 15[/tex]

[tex]27x=30x-15[/tex]

[tex]30x-27x=15[/tex]

[tex]3x=15[/tex]

[tex]x=\frac{15}{3}[/tex]

[tex]x=5[/tex]

Therefore, the value of x is 5.


[tex]( {x}^{2} + 6x - 5) - ( {8x}^{2} - 7x + 5)[/tex]Find..​

Answers

I believe this is the answer

i need help please...

Answers

Answer:

A. 5 units

Step-by-step explanation:

5 units because 10 looks way to big

if a=3i+9j and b=4i-6j, find 5a-3b Write your answer in the form i + j.

Answers

Answer:

3i + 63j

Step-by-step explanation:

Step 1: Replace the variables with the given statements

5(3i+9j) - 3(4i-6j)

Step 2: Distribute

15i + 45j -12i + 18j

Step 3: Combine like terms

3i + 63j

The Schwartz family spent a total of $111.75 for Internet service for 3 months. Each

month they received $5.50 as a credit on the bill. Which equation and solution shows

the cost of their monthly Internet service before the credit?

3 (x + 5.50) = 111.75; the monthly Internet service is $31.75

3 (x - 5.50) = 111.75; the monthly Internet service is $42.75

1/3 (x - 5.50) = 111.75; the monthly Internet service is $42.75

1/3 (x + 5.50) = 111.75; the monthly Internet service is $31.75

Answers

Answer:

3 (x - 5.50) = 111.75

Step-by-step explanation:

They paid $111.75 for three months,  that means they minus $5.50 every month which means a total of $16.5 for three months.

So you need use $111.75 plus the credit $16.5 for three months

111.75 + 16.5 = 128.25

Then use divide them by 3, (three months)

128.25 / 3 = 42.75

So they pay $42.75 per month before the credit.

I wish this could help you.

Answer:

b

Step-by-step explanation:

because i just took the test

Joey is building a frame for a sandbox. The sandbox is going be have the
shape and dimensions below. If the diagonal of the sandbox measures 14
feet, what kind of quadrilateral will the sandbox be? Explain how you know.

Answers

Answer:

The quadrilateral would be a rectangle.

explanation:

since opposite sides are equal, the diagonals are bound to equal as well, since the whole point of a diagonal is to go from one point to it's opposite corner.

I hope I helped, And please rate me 5 stars!

the quadrilateral is a rectangle
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