Find the surface area of the square pyramid, Show your work please : )
Answer:
105in²
Step-by-step explanation:
Surface area is the total area of the faces.
The faces of pyramid consist of triangles and a square
The area of a square can easily be calculated by squaring the side length
the square of this pyramid has a side length of 5
so
area of square = 5²
5² = 25
the area of the square is 25in²
Now to find the area of the triangles
All we have to do is find the area of one triangle and multiply that buy 4 ( because there are four triangle)
the area of a triangle can be calculated using this formula :
[tex]A=\frac{bh}{2}[/tex] where b = base and h = height
The triangles have a base length of 5 in and a height of 8 in
so
[tex]A=\frac{5*8}{2} \\5*8=40\\\frac{40}{2} =20\\A=20[/tex]
So the area of one triangle is 20 in²
Now we multiply 20 by 4 to find the area of all 4 triangles
20 * 4 = 80
So the total area of the triangles is 80in²
Finally we add the two areas together
Surface area = 80 + 25
80 + 25 = 105
Hence, the surface area is 105in²
Answer:
105 in.
Step-by-step explanation:
To find the area of a square pyramid, use this formula
a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height.
The base is a square.
To find the area of a square, simply multiply the side length by itself twice (x^2).
5 x 5 = 25.
25 is the area of the base.
a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height
25 + 1/2 ⋅ p ⋅ height.
To find the perimeter of a square, add every side length; the sum is the perimeter.
5 + 5 + 5 + 5 = 20.
20 is the perimeter of the square.
a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height
25 + 1/2 ⋅ 20 ⋅ height
The height is the number along the little lines.
8 is the height.
Now that we have all parts of the formula, we have our final equation.
a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height
25 + 1/2 ⋅ 20 ⋅ 8 = 105.
105 in. is the surface area of the square pyramid.
Please help me solve these questions!!!
HELP... I will give brainliest to the best answer! :))
(a) Write 2500 in expanded notation.
(b) Write the prime factorization of 2500 using exponents
(c) Find 2500.
Answer:
a) (2 x 1000) + (5 x 100)
b) 5^4 × 2²
c) ??
Step-by-step explanation:
b) 2500 = 25 x 100
25 = 5 x 5
100 = 25 x 4 = 5 x 5 x 2 x 2
I need help please!!
Answer:
1
Step-by-step explanation:
sike i lied this is so easy pls try pls
You make $0.75 for every newspaper you sell. Write and solve an equation to find how many newspapers n you have to sell to buy the soccer cleats. Soccer Cleats cost: $36.00
Answer:
You would need 48
Step-by-step explanation:
divide 36.00/0.75
Copy the diagram. Then draw Rx=-1 (ABC). Lable the vertices of the image by using prime notation.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Reflection over x = -1 performs the transformation ...
(x, y) ⇒ (-2-x, y)
its for 7th grade plss help me
Answer:
x ≤ 40
Step-by-step explanation:
x >= -5x8
x =< 40
1. The French Club will wash cars for $5 each to raise money for a trip to Quebec. Their profit is determined by taking this revenue and subtracting $15 for the supplies they purchased, and is modeled by the function p = 5C - 15, where c is the number of cars washed. If the French club can wash up to 5 cars in an hour, what is the range of the function for this situation?
A {0,1,2,3,4,5}
B 0 < c < 5
C -15 < p < 10
D { -15,-10,-5,0,5,10}
Answer:
p=5c-15=p=5×5-15 =-15<p>10
A multiple choice test contains 10 questions with 5 answer choices. What is the probability of correctly answering 5 questions if you guess randomly on each question?
Answer:
25%
Step-by-step explanation:
So first, 5 answers is 50% of 10 questions
Then, if these problems have only 2 choices then 50%/2=25%
Please help! For math.
Answer:
Soln:
x=64(vertically opposite angle)
x=64
Now,
y=18(vertically opposite angle)
y=18
Again,
y+z+x=180(being straight angle)
or,18+z+64=180
or,82+z=180
or,z=180-82
orz=98
Hence the value of x=64, y=18and z=98.
Please help me I don’t under stand helpppp ASAP
Answer:
25
Step-by-step explanation:
Answer:
27.7
Step-by-step explanation:
“Type your answer in the box below without units” HELPPPPP
Answer
each loaf cost $2 all you had to do was divided 24 and 12 and you get $2
Step-by-step explanation:
The cost of electricity is obtained as follows: A fixed charge of $(a), rent of a meter $(b) and a charge of (c) cents for unit of electricity supplied Determine the total cost of using n units of electricity.
Answer:
$(a + b) + cn cent
Step-by-step explanation:
Given :
Fixed charge = $a
Rent of a meter = $b
Charge per unit of electricity = c cents
The total cost of using n units of electricity :
For n units of electricity ;
Fixed charge is paid once
Meter rent is paid once
The cost of electricity = (number of units * cost per unit) = (n * c) = nc cents
Total cost of n units of electricity :
$(a + b) + cn cent
Suppose a circle has a diameter of 20 inches. What is its radius?
A)400 in
B)40 in
C)20 in
D)10 in
Sammie is buying an airline ticket. The ticket costs $125. She earns $12 an hour and has already saved $40. Write an inequality to find out how many hours (h) Sammie needs to work in order to buy her ticket. Do not solve.
Answer:
125=12x+40
Step-by-step explanation:
Let the number of hours be x
And the total amount be =$125
We already have $40
Hence the expression is
125=12x+40
If we solve for x, the answer gotten is the number of hours
After a company celebrated its ten year anniversary, the president of the company wanted to know how long employees have been with the company. Human resources provided the president with the box plot below.
Using the box plot, determine the best measures of the data.
The best measure of center is the (blank)
, and the best measure of variability is the (blank)
.
The number that best summarizes the data is (blank)
years of service.
The number that best describes how the data varies is (blank)
years of service.
Step-by-step explanation:
The measures of variability is blank, the number that best summarizes the data is blank, and the number that best describes how the data varies is blank
Please send the box plot, I can solve it then but there is not enough info right here. Sorry!
Exchange the digits in lakhs and tens places of the number 6,10,932 and find the sum of the new number and the original number.
Answer: [tex]9,21,894[/tex]
Step-by-step explanation:
Given
The given number is 6,10,932
Value at lakhs place is 6
value at tens place is 3
Exchange them to get a new number i.e. 3,10,962
Now, the sum of the original and new number is
[tex]6,10,932+3,10,962=9,21,894[/tex]
please help me with maths !!!
A fish was at the river-bed at a certain time. After 5 minutes, the water level of the river rose
up 2.4 cm and the water level of the river rose up again 3½cm after 4 minutes. The moment, the fish was at 14.6 cm from the river-bed and 162 cm below water level of the river.
Calculate the original height, in cm, of the water level of the river.
Answer:
170.7 cmStep-by-step explanation:
Let the original water level is x.
Use below equation to find its value:
x + 2.4 + 3 1/2 = 162 + 14.6x + 2.4 + 3.5 = 176.6x + 5.9 = 176.6x = 176.6 - 5.9x = 170.7 cm3. A big league pitching coach tries to limit his pitchers to 110 pitches per game. If the pitcher has
already thrown 52 pitches, write and solve an inequality to find how many more pitches he can
throw before reaching the limit. *
Type your inequality AND your answer as a sentence.
Deborah had 3 1/4 yards of ribbon she used 3/8 of a yard for a project how much ribbon does she have left
arrange the following elements according to the increasing atomic size
Ai, P, Si, Mg
PLEASE ANSWER ASAP
no links please
what is xy?
answers: a: ^ 2 b: 5 c: 5^2 d: 10
Answer:
C: 5√2
Step-by-step explanation:
Answer is C, 5[tex]\sqrt{2}[/tex] hope this helps !!!
Explanation: A 45°-45°-90° triangle is a special right triangle that has two 45-degree angles and one 90-degree angle. The side lengths of this triangle are in the ratio of; Side 1: Side 2: Hypotenuse = n: n: n√2 = 1:1: √2. The 45°-45°-90° right triangle is half of a square.
A CD player that regularly sells for $79.00 is on sale at a 15% discount.
Find the sale price of the CD player. Show your work.
Answer:65.15
Step-by-step explanation:
Answer:
$67.15
Step-by-step explanation:
100% - 15% = 85%
original price = 79
85% of 79 = sale price
85/100 * 79 = sale price
67.15
3/3 x 1/3 will have a poduct less than 1/3/
Answer:
False
Step-by-step explanation:
3 over 3 is equal to 1. So 1 multiplied to 1 over 3 would equal 1/3.
Please help me ASAP!!!
Answer:
the third one (2,-18)
Step-by-step explanation:
Which value of x makes the equation 0.75(x + 20) = 2 + 0.5(x - 2) true?
Answer:
x = -56
Step-by-step explanation:
0.75(x + 20) = 2 + 0.5(x - 2)
0.75x + 15 = 2 + 0.5x - 1
0.25x = -14
x = -14/0.25
x = -56
hey guys i really need help rn bc i’m in a rush to get this done. i’m begging u if u could help me with this question an a few others i’ll mark brainiest. just pls help!
Answer:
9 1/2
Step-by-step explanation:
=2*3+3 1/2
=6+3+1/2
=9 1/2
Check
Consider the expression.
1. Express each exponent in expanded form:
6.6.6.6.6.6.6
6.6.6.6
6.6.6.6.6.6.6
6.6.6.6
2. Divide common factors:
What is the exponent of the simplified power?
Done
Answer:
[tex](a)\ \frac{6^7}{6^4} = \frac{6*6*6*6*6*6*6}{6*6*6*6}[/tex] --- expanded form
[tex](b)\ \frac{6^7}{6^4} = 6*6*6[/tex] --- Divide common factor
(c) The exponent of the simplified power is 3
Step-by-step explanation:
The original question is:
[tex]\frac{6^7}{6^4}[/tex]
Required
- Express the exponents in expanded form
- Divide common factors
We have:
[tex]\frac{6^7}{6^4}[/tex]
In indices:
[tex]x^2 = x * x[/tex]
So, the above expression becomes:
[tex]\frac{6^7}{6^4} = \frac{6*6*6*6*6*6*6}{6*6*6*6}[/tex]
Divide the common factors, to give:
[tex]\frac{6^7}{6^4} = 6*6*6[/tex]
Express as an exponent
In indices;
[tex]x * x * x = x^3[/tex]
So, we have:
[tex]\frac{6^7}{6^4} = 6^3[/tex]
The simplified power is [tex]6^3[/tex] and 3 is the exponent
Due to delays a company had to extend a project from 28 days to 76 days. What was the percentage increase in time to complete the project. Round your answer to the nearest tenth.
Answer: [tex]171.4\%[/tex]
Step-by-step explanation:
Given
Time is extended from 28 days to 76 days
The percentage increase is given by
[tex]\Rightarrow \dfrac{\text{New-original value}}{\text{original value}}\times 100[/tex]
Putting values
[tex]\Rightarrow \dfrac{76-28}{28}\times 100=\dfrac{48}{28}\times 100\\\\\Rightarrow 171.4\%[/tex]
Thus, the percentage increase in time is [tex]171.4\%[/tex]
Please help!! Select the values for the domain & range of the function given below.
Answer:
the first one n second one