A square pyramid is shown. What is the surface area of the pyramid? Enter your answer in the box. 100 points
Answers
Answer:
33 cm²
Step-by-step explanation:
Formula
Surface Area = 4 x Area (triangle) + Area (square)S.A. = 4 x 1/2 x bh + b²Solving
Given that h = 4 cm and b = 3 cmS.A. = 2 x 4 x 3 + 3²S.A. = 24 + 9 = 33 cm²Answer:
33 cm²
Step-by-step explanation:
Since the pyramid has a square base, the area of each of the triangular sides will be the same.
Therefore, to calculate the total surface area, find the area of one triangle, multiply it by 4, then add it to the area of the square base.
Formulae
Area of a square = x³ (where x is the side length)
Area of a triangle = 1/2 × base × height
Calculation
area of the square base = 3² = 3 × 3 = 9 cm²
area of one triangle = 1/2 × 3 × 4 = 6 cm²
Solution
Total area = area of the square base + 4 × area of one triangle
= 9 + (4 × 6)
= 9 + 24
= 33 cm²
Related Questions
A local band spent $2,000 to record and make 400 CDs. They sold all of their CDs and made a profit of $500. How much did they charge for each CD?
Answers
Answer:
$6.25 for each CD
Step-by-step explanation:
6.25 x 400 = 2,500
2,500 - 2,000 = 500
there is a 500 profit
What is the volume of this figure?
Enter your answer in the box.
Answers
Answer: 2080
Step-by-step explanation: formula for volume of trapezoid prism is bh. 10 times 19 is 190. formula for rectangular prism is lwh. 7 times 30 times 9 is 1890. add 190 and 1890 for both of their volumes.
Help
If my final answer to a question is 207 cubic feet (or 207 feet cubed), what am I measuring?
Height
Length
Area
Volume
Answers
Answer:
you would be measuring the volume
Step-by-step explanation:
because of the cubic feet keyword.
plus the question states that there is no height , length.
Aaron makes $45 dollars per day delivering newspapers. He earns 0.75 for each newspaper he delivers. How many newspaper, n, must he deliver in one day to make at least $60
Answers
Answer:
20 newspapers
Step-by-step explanation:
First create an equation.
y = 0.75x + 45
Now substitute 60 y and solve for x.
60 = 0.75x + 45
60 - 45 = 0.75x + 45 - 45
15/0.75 = 0.75x/0.75
x = 20 newspapers
Helppppppp pls :))))))))
Answers
Answer:
g(x) = x^2 - 7
Step-by-step explanation:
-
What is the vertex of f(x) = 5x^2 + 20x – 16?
Answers
Take -20/(2 times 5)
Which is -20/10
That is -2
-2 is the answer for x coordinate.
Plug -2 into function to get 20+(-40)+(-16)
Which is -36.
So we get (-2, -36)
Mark as the best!
Answer:
(-2, -36)
Step-by-step explanation:
This is written in Standard Form
[tex]f(x)=5x^{2} +20x-16[/tex]
[tex]ax^{2} +bx+c[/tex]
Convert to vertex form.
[tex]f(x)=a(x-h)^{2}+k[/tex]
[tex]f(x)=5(x+2)^{2}-36[/tex]
A spinner is divided into 5 sections of equal area, with numbers 1, 3, 5, 7, and 9 in it. What is the probability of the spinner landing on 7?
Answers
Step-by-step explanation:
You can only get 5 numbers which are : 1, 3, 5, 7, 9.
There is only one occurrence of the number 7. To get the probability of the spinner landing on 7 is given by the occurence of a certain object (7 in this case) divide by the total number of objects.
Answer:
1/5(1 over 5)
Step-by-step explanation:
out of the 5 numbers
u can land on 7 one time
solve the following equation 6x+2+56=180
Answers
Answer:
20.3
Step-by-step explanation:
6x+2+56=180
-2 -56 -58
6x= 122
/6 /6
x=20.3
Find the area of this circle. Use 3.14 for π
Answers
Answer:
What circle?
Step-by-step explanation:
Please give more data
Answer:
I need a picture of the circle. you can't answer your question without an actual reference on what im solving
Step-by-step explanation:
help please. 50 pts and brainliest
Answers
Answer: I think you should go to the internet and try to get some ways to help yourself Try Math with Mr.J or Math Antics on Videos
Step-by-step explanation:
Someone deleted my first answer so I can not do anything about it sorry
which is an algebraic expression for the product of 10 and a
Answers
the product of 10 and a
10 × a = (product)
A circle is drawn to represent a pizza with a 12
inch diameter. The circle is cut into eight
congruent pieces. What is the length of the outer
edge of any one piece of this circle?
Answers
Answer:
Step-by-step explanation:
diameter/2 = radius
12/2 = radius
radius = 6
The outer edge means you are measuring the circumference of the pizza.
Circumference = 2(pi)(radius)
Circumference = 2(pi)(6)
You are only finding 1/8 of the circumference
Therefore you are multiplying the circumference by 1/8
Length of 1 slice = (1/8)((2)(pi)(6)) = (12/8)(pi) = (3/2)(pi) = (3(pi)) / (2) or 4.71 inches
The length of the outer edge of any one piece of this circle will be 4.71 inches.
What is the arc length of the sector?Let r is the radius of the sector and θ be the angle subtends by the sector at the center. Then the arc length of the sector of the circle will be
Arc = (θ/360°) 2πr
A circle is drawn to represent a pizza with a 12-inch diameter. The circle is cut into eight congruent pieces. Then the central angle of each sector will be given as,
θ = 360° / 8
θ = 45°
And the radius is given as,
r = 12/2
r = 6 inches
Then the length of the outer edge of any one piece of this circle will be
Arc = (θ/360°) 2πr
Arc = (45/360°) 2π x 6
Arc = 1/4 x 3.14 x 6
Arc = 4.71 inches
The length of the outer edge of any one piece of this circle will be 4.71 inches.
More about the arc length of the sector link is given below.
https://brainly.com/question/15955580
#SPJ2
Use the distributive property to simplify 3(4x+8).
a) 7x + 8
b) 7x + 24
c) 12x + 8
d) 12x + 24
Answers
Answer:
d) 12x + 24.
Step-by-step explanation:
3(4x+8)
= 3*4x + 3*8
= 12x + 24.
The Distributive Property states the following:-
[tex]\bigstar{\boxed{a(b+c)=ab+ac}}[/tex]
So we distribute a by multiplying it times b & c.
Now, let's simplify the given expression:-
[tex]\bigstar{\boxed{3(4x+8)=12x+24}}[/tex]
Hence, Option D) is correct!
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
If Shannon wants to fill a spherical balloon so that it has a circumference of 8π in, how much air will she need to use to fill the balloon?
Answers
The Volume of air needed for a spherical balloon of radius 4 inch and circumference 8π is 85.3 cubic inch
Volume of SphereGiven Data
Circumference = 8πLet us find radius
circumference = 2πr
8π = 2πr
8 = 2r
r = 8/2
r = 4 inch
Let us find the volume of the sphere
Volume = 4/3πr^3
Volume = 4/3* π*4^3
Volume = 4/3*π64
Volume = 256π/3
Volume = 85.3 cubic inch
Learn more about volume of sphere here:
https://brainly.com/question/22807400
8664 ÷ 26 with remainder
Answers
Answer:
six hundred and sixty-two by twenty-six
Step-by-step explanation:
Answer:
333 remainder 6
Step-by-step explanation:
333 R 6
26/8664
- 78
086
- 78
084
-78
6
I struggled to show the work formatted how I would normally write this problem out, so I'll also talk through how I got the answer.
The first step in long division by hand is to take the number that is furthest to the left and seeing how many times your divisor (26) will go into it.
In this case the digit in the thoudands place (our furthest left) is 8. Obivously 26 does not fit into 8. So our answer will have a 0 in the thousands place and we move one place to the right.
We now have 86. 26 fits into 86 three times and leaves a difference of 8 remaining in the hundreds place, and we move the right again to the tens place.
We again have 86. 26 again fits in three time and leaves a difference of 8. As we move to the right to the ones place we are left with 84.
26 fits into 84 three times, but we have a difference of 6 this time.
We cannot continue as 26 will never fit into our remainder of 6.
We had a 0 in the thousands place, a 3 in the hundreds place, a 3 in the tens place and a 3 in the ones palce with 6 left over.
So the final answer is 333 remainder 6
What is the measure of each angle in the circle?
60°
90°
30°
72°
Answers
Answer:
~Lord
The magnitude of the degree in a circle is. there are 5 angels in a circle
measure of each angle:
degree of circle ÷ numbers of angle360° ÷ 5 72°so measure of each angle is 72°
Step-by-step explanation:
As Per Provided Information
Number of sector in given circle is 5
As we know sum of all angles in a circle at centre is 360° .
Since number of sector is given and we are asked to find the measure of each angle in given circle .
[tex] \huge{ \boxed{\sf \: Angle_{(Circle)} = \cfrac{360}{ \: number \: of \: sector}}}[/tex]
Now put the value in above equation and we obtain
[tex] \longrightarrow\sf \: Angle_{(Circle)} = \cfrac{360}{5} \\ \\ \\ \longrightarrow\sf \: Angle_{(Circle)} = \cancel \dfrac{360}{5} \\ \\ \\ \longrightarrow\sf \: Angle_{(Circle)} = {72}^{ \circ} [/tex]
Therefore,
Measure of each angle is 72° .which angles are congruent in the isosceles triangle
Answers
Write 4.58 correct to 1 decimal place.
Answers
Round the tenths place up one
What is the equation of the line parallel to the line with equation y=2/3x +1 and passing through the point (6,-2)?
Answers
Step-by-step explanation:
y= (-2/3) x-6 is parallel to y= (-2/3)x +4 goes through the point (3,-8)
In situations where the employer and employee split the expense of a cell phone, should the employer be permitted to inspect the text messages?
Yes
No
Explain why you voted the way you did.
Answers
Answer:
Yes, because the employer purchased half the price of the cell phone. They can read the messages on their property.
Step-by-step explanation:
the mean age of the teachers on a school safety committee is 33.4 years. a 16-year old student representative joins the committee. which sentence is true?
a. the new mean age is greater than 33.4 years.
b. the new mean age is less than 33.4 years.
c. the new mean age is 27.4 years.
d. the mean age is still 33.4 years.
Answers
Answer:
b. The new maen age is less than 33.4 years.
What is 3/8÷(−5/12)?
A.) −32/5
B.) −9/10
C.) −10/9
D.) −5/32
Answers
Answer:
B
Step-by-step explanation:
Explanation: Because 3/8 divide -5/12 goes to 3/8 times -12/-5 which then leads to 36/-40. Divide by 4. Which would then equal to -9/10.
I hope this helps
Graph the solution to this inequality on the number line.
12x−3<−138
Answers
Answer:
Step-by-step explanation:
1. Solve
12x-3+3<-138+3 <=== Add three to both sides to simplify the inequality
12x÷12<-135÷12 <=== divide by 12 on both sides so we can find what x is so that we can graph the inequality
x<-11.25 <=== negative divided by positive is always negative
2. Graph
1) you find -11.25 on the number line
2) you put an ray with an empty/hollow circle facing towards the negative side
HELP ASAP
The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9
Answers
Answer: The range of the function is all real numbers less than or equal to 9
Step-by-step explanation:
can someone help me please
Answers
Answer:
3.A
4.D
Step-by-step explanation:
in 3, A is correct because it follows the rule in the picture attached. In question 4 D is not appropriate because log base 9 to the power 9 is equal to 1, but log base 9 to the power 4 + log base 9 to the power 5 is not 1
Consider the quadratic equation x2+7x+8=0. Which of the following is the correct form after substituting a, b, and c into the Quadratic Formula?
x=7 ±(7)2−4(1)(8)√2(1)
x=(7)2−4(1)(8)√2(1)
x=−7 ±(7)2−(1)(8)√2(1)
x=−7 ±(7)2−4(1)(8)√2(1)
Answers
Answer:
x=−7 ±(7)2−4(1)(8)√2(1)
Step-by-step explanation:
I risked it all and got it right
Jody ships her sculptures in boxes with a length of 2 1/3 ft. a width of 2 ft., and a height of 1 2/3 ft. What is the maximum number of sculptures she can ship one box?
Answers
please help giving 20 points
Answers
Answer: 13
Step-by-step explanation:
We will use the order of operations to solve.
Given:
20 ÷ (5 * [tex]\frac{2}{5}[/tex]) + 3
Multiply:
20 ÷ ([tex]\frac{10}{5}[/tex]) + 3
Divide:
(20 * [tex]\frac{5}{10}[/tex]) + 3
[tex]\frac{100}{10}[/tex]
Add:
10 + 3
13
Please help with my homework. I will give a brainlist out. Only solve 27 please.
Answers
Answer: 5 ft
Step-by-step explanation: A = bh h = A/b 85/17 = 5
A hiker travels 6 mph, which is 3/11 the rate of a cyclist. Suppose the cyclist is following behind the hiker. How fast does the distance between them decrease?
Answers
How fast the distance between them decrease is 16mph
How to calculate the speed of an object?Given the following parameters
Speed of the hiker = 6mph
If is it 3/11 the rate of a cyclist, then the rate of the cyclist will be:
6 = 3x/11
3x = 66
x = 22mph
Distance between them = 22 - 6
Distance between them = 16mph
Hence how fast the distance between them decreases is 16mph
Learn more on speed here: https://brainly.com/question/4931057
Answer: 28 mph
Step-by-step explanation:
