Answer:
The base of a right pyramid is an equilateral triangle with area 16√3 cm². area of one of its lateral faces is 30 cm²
To find : height (in cm) i
Solution:
The base of a right pyramid is an equilateral triangle with area 16√3 cm²
Area of an equilateral triangle = (√3 / 4) Side ²
(√3 / 4) Side ² = 16√3
=> Side ² = 64
=> Side = 8 cm
Distance of center of triangle to mid point of Side for Equilateral triangle = side/ 2√3 = 8/ 2√3 = 4/√3
Let say Height = H
Slant Height = √((4/√3)² + H²)
Area of lateral surface = (1/2) * base * Slat Height
= (1/2) * 8 * Slant height = 30
=> Slant height = 15/2
15/2 = √((4/√3)² + H²)
=> 225/4 = 16/3 + H²
=> 611/12 = H²
=> H = 7.135 cm
Step-by-step explanation:
A right rectangular prism has a length of 2 ½ feet, a width of 3 feet, and a height of 1 ½ feet. Unit cubes with side lengths of ½-foot are added to completely fill the prism with no space remaining. What is the volume, in cubic feet, of the right rectangular prism?
Answer:
n=90
Step-by-step explanation:
As I think it is easy to answer the volume of prism I will also calculate no of small prism that can fit inside the larger one
so volume = length * width * height
volume of larger prism
vp=45/4 ft^3 =11.25
volume of small cubes
vs=1/2*1/2*1/2
vs=0.125 ft^3
now numbers of cube that can fit
n=vp/vs
n= 11.25/.125
n=90
so 90 smaller cubes will completely fill in the prism
Answer:
11.25 [tex]ft^3[/tex]
Step-by-step explanation:
2.5 x 3 x 1.5 = 11.25 [tex]ft^3[/tex]
The outline of Sara's family room, including the entry, is shown.
Sara wants to carpet the family room. How many square feet of carpet does she need?
The number of square feet of carpet Sara needs is 128 square feet.
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
From the given figure,
Dimensions of a large rectangle, length is 12 ft and breadth is 9 ft.
Area of the large rectangle = Length×Breadth
= 12×9
= 108 square feet
Dimensions of a smaller rectangle, length is 12-7=5t ft and breadth is 13-9=4 ft.
Area of the smaller rectangle = Length×Breadth
= 5×4
= 20 square feet
Total area = 108+20
= 128 square feet
Therefore, the number of square feet of carpet Sara needs is 128 square feet.
Learn more about the area here:
https://brainly.com/question/27683633.
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Looking for the Domain and range
Answer:
Domain and Range are both all real numbers
Step-by-step explanation:
This graph is an example of a linear function. A graph containing a linear function always has a domain and range that is infinite, containing all real numbers.
The number of toys owned by eight classmates is shown below:
4, 3, 4, 5, 6, 6, 8, 4
Part A: What is the mean of the data? Show your work.
Part B: Use your answer from Part A to calculate the mean absolute deviation for the data. Show your work.
Answer:
Part A: 5
Step-by-step explanation:
4+ 3+ 4+ 5+ 6+ 6+ 8+ 4= 40
so there is 8 numbers which means that we need to do 40 divided by 8=5
Part b: i dont know how to explain but the mad is 1.25.
The mean of given data is 5 and mean deviation is 1.25
What is mean deviation?The mean deviation is defined as a statistical measure that is used to calculate the average deviation from the mean value of the given data set.
Mean = Sum of all observation/ Number of observation
= 40 / 8
= 5
X F XF |[tex]d_{i}[/tex]| FD
3 1 3 2 2
4 3 12 1 3
5 1 5 0 0
6 2 12 1 2
8 1 8 3 3
Mean Deviation = ∑FD/n
= 10/8
= 1.25
Thus, The mean of given data is 5 and mean deviation is 1.25
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How do you find the area of a triangle?
Example on picture
Answer:
To find the area of the triangle, you have to follow the formula 0.5*b*h. B is the length of the base of the triangle, and h is the height.
please help so i can go
Answer:
434.035ft^2
Step-by-step explanation:
give to my friend his brainliest <3
Find the number that makes the ratio equivalent to 6:4.
54:
28 out of 50 8th graders said they prefer snow to rain. 42 out of 58 10th graders said they prefer snow. did a larger percentage of 8th graders or 10th graders prefer snow?
explanation please
Answer:
10th graders prefered snow then 8th graders did.
Step-by-step explanation:
Hey I hope I will be able to help!
To find out the percentage we need to divide the fractions-
28 divided by 50 = 0.56 and in percentage form its 56%
42 divided by 58 = approximately 0.72 which is 72%
56% < 72%
72% is obviously greater so 10th graders prefer snow more than 8th graders do.
Please give brainliest if this was helpful!
please help thank you
Answer:
x ≥ -4
Step-by-step explanation:
you subtract 10 on both sides to get x by itself. 6-10 = -4. since you already have x by itself you don’t have to do anymore
Answer:
The answer is x ≥ -4
Step-by-step explanation:
First, subtract 10 from both sides.
x + 10 ≥ 6
- 10 - 10
Which would make x ≥ -4.
17. If the radius of a circle equals $$ cm, find its circumference correct to three decimal places.
The traffic-control monitor on the freeway shows 200 vehicles per minute passing the camera in 5 minutes. Of those vehicles, on average, 125 have one passenger, 60 have four or fewer passengers, and 15 have more than four passengers. What is P(vehicles with more than four passengers)?
Answer: maybe 7.5
Step-by-step explanation: I don't really know the question isn't real clear
Three months later some vehicles have sold and new models have been brought into the Wheel Shop. Now, there are a different number of bicycles, tandem bicycles, and tricycles in the shop. There are a total of 135 seats, 118 front handlebars (that steer the bike), and 269 wheels. How many bicycles, tandem bicycles and tricycles are there in the Wheel Shop?
View the image to get the explanation and the answer! Hope this helps
which is the best buy?
Green Tea: Box A contains 8 tea bags and costs $1.12. Box B contains 18 tea bags
and costs $1.98.
Answer:
I think box B will be the best buy
write ur solution as an inequality: if 3
Can somebody please help me?
Answer:
I think it is 4 meters length
Solve the given equation.
b + 19 = 63
what is b
Answer:
b + 19 = 63
b+19-19=63-19
b=44
Step-by-step explanation:
I hope this help you!
If it cost $1.68 for 3 bars of chocolate, what is the unit rate?
Can u please help its just box plots !!! if you do tysm and remember your loved
Answer:
50/100 +
Step-by-step explanation:
every percent of its total is always 100. so its 50/100 multiplied by that number, i cant see bc its blurry.
A sequence can be generated by using an = 4a(n - 1), where a1 = 6 and n is a whole
number greater than 1. What are the first four terms in the sequence?
A: 6, 24, 96, 384
B: 6, 10, 14, 18
C: 6, 20, 100, 500
D: 6, 20, 76 300
Answer:
First four terms are: 6 , 24 , 96 , 384
Step-by-step explanation:
a₁ = 6
an = 4a(n-1)
a₂ = 4* a₍₂₋₁₎ = 4 * a₁ = 4*6 = 24
a₃ = 4*a₍₃₋₁₎ = 4 * a₂ = 4 * 24 = 96
a₄ = 4* a₍₄₋₁₎ = 4 * a₃ = 4 * 96 = 384
Yo this is ez help plz no links
What is theoretical probability?
Answer:
where is the question
Step-by-step explanation:
edit your question and i will edit my answer
helppp
________________________________________
1. Write the multiplication sentence modelled by the shaded region in each rectangle.
________________________________________
4. Use the area model below to calculate each product.
1/3 x 1/4= _______ 2/5 x 3/4= _______
3/5 x 1/4=_______ 1/5 x 1/2=_______
3/5 x 1/2=_______
_________________________________________
- Look for a pattern in the numbers. Describe a relationship between the numerator and the denominator of each answer fraction and those of the fractions being multiplied.
__________________________________
__________________________________
____________________________________________________
5. Determine each product.
a) 3/4 x 2/5 = ________ b) 5/8 x 2/3= ________
c) 4/7 x 2/3= ________ d) 2/3 x 7/10= ________
____________________________________________________
HELPPP!! ILL GIVE U BRAINLIST IF U DO ALL!! AND A THANK YOU!!+ THE POINTS!!
The reciprocal rule of division method is
A.
Multiply the divisor by the reciprocal of the dividend
B.
Multiply the dividend by the reciprocal of the divisor
C.
Both A and B
D.
None of these
Answer:
B
Step-by-step explanation:
You randomly choose one of the four marbles. Without replacing the first marble, you choose a second marble. there are 1 blue, 1 green, 1 yellow, and 1 red. Use tree diagram
Answer:
12 total possible outcomes
Step-by-step explanation:
To do this, we can use the Fundamental Counting principle, which is :
An event M has m possible outcomes. An event N has n possible outcomes. The total number of outcomes of event N followed by event N is m x n.
When you first pick up a marble (event M), there are 4 possible outcomes (yellow, red, green, blue). Since you do not replace the marble, when you pick the second time (event N) there are only 3 other possible colors.
As we know, m x n = to total possible outcomes.
So, 4 x 3 = 12 total possible outcomes.
Roger has two dogs which are named Sparky and Cookie. The relationship of Sparky’s age, s, and Cookie’s age, c, can be represented by the equation shown below. s = c + 4 *
HELP!!!!
All of the factory workers in a steel mill either purchased their breakfast in the company cafeteria, or brought their breakfast from home on Wednesday. • 26% of the factory workers purchased their breakfast. • 148 brought their breakfast from home. How many factory workers are employed at the steel mill?
Answer:
1. Sparky is 4 years older than cookie?..
^ not sure what exactly it is asking!
2. There are 200 factory workers employed at steel mill
The following table shows the data collected from a random sample of 100 middle school students on the number of hours they do household chores every week: Weekly Duration of Household Chores Time (in hours) 0–1 2–3 4–5 6–7 Number of Students 32 64 3 1 There are 1,500 students in the school. Based on the sample proportion, how many students in the school would be expected to do household chores for at least two hours every week? 480 960 1,020 1,440
Answer:960
Step-by-step explanation:
Find the volume of the following figure. 890 units 3 900 units 910 units 3 882 units3
Answer: 882 units cubed
Step-by-step explanation:
The following shape is a cuboid, which means we need to multiply the length by height by width.
The units we are using are cubes.
To calculate the 3 dimensions, we need to manually count the cubes.
Length = 14 units
Height = 9 units
Width = 7 units
Volume = Length * Height * Width
V = 14 * 9 * 7
V = 882 units cubed.
Which means, in that big box could fit 882 little cubes as shown.
Hope I Helped!
Write an equation that represents the following word problem. Jackie has four more apples than Mark and together they have twelve apples. How many apples do each Jackie and Mark have?
A. a + (a - 4) = 12
B. a + (a + 4) = 12
C. both of these would work
D. neither of these would work
Answer:
also jackie has 8 apples and mark has 4 apples
option B is correct
Step-by-step explanation:
a+4=b =>
a+b=12
(a+4) + a =12
Please help!!!! At a gymnastics meet, a gymnast scored an 8.95 on the vault and a 9.2 on uneven bars. Write two equivalent expressions that could be used to find her total score. NO LINKSSSSSSSSSSSSSSSSSSSSSSSSSSS
Solve the given equation.
v + 13 = 40
what is v
V = 37
Step-by-step explanation:
number one please no links