Answers
Step-by-step explanation:
Formulas.
Square: [tex]V = L \times W \times H[/tex]
Square Pyramid: [tex]V = \frac13b^2h[/tex]
b = base.
Let's work on the square first.
Substitute the Length, Width, and Height of the square into the formula:
[tex]V=15 \times15\times15[/tex]
Solve:
[tex]V=15^{3} =3,375[/tex]
Let's work on the square pyramid.
Substitute 225 into the formula, and 9 (height):
[tex]V=\frac{1}{3}(15)^2(9)[/tex]
Solve:
[tex]V=\frac{1}{3}225(9)[/tex]
[tex]V=\frac{1}{3}(2025)[/tex]
[tex]V=675[/tex]
Add each volume:
[tex]3,375+675=4,050 ft^{3}[/tex]
The total volume of the figure is [tex]4,050 ft^{3}[/tex].
Related Questions
90 kids in the band 20% of the kids own their own instruments how many kids own their own instruments
Answers
Answer:
18
Step-by-step explanation:
20% = .20
90 x .20=18
Hence, 18 kids own their own instruments
[RevyBreeze]
What is 3/4 - 2/6
Subtracting Proper Fractions
Answers
Shaunda said that buying 4 towels for $17 was a better buy than buying 2 towels for $9. She found her answer by doubling the terms in the ratio 9/2 and comparing the first terms in the ratio. Is she correct? Use unit prices to support your answer
Answers
Answer:
The cost for a towel at 4 for $17 is:
17/4 = 4.25 $/towel
The cost for a towel at 2 for $9 is:
9/2 = 4.5 $/towel
So Shaunda is correct, as the cost per towel for 4 at $17 is lower.
pls can u gus tell me the ans and explanation
Answers
Step-by-step explanation:
the volume of the tank is
80×50×45 = 180,000 cm³
3/4 of that volume is
180000 × 3/4 = 135,000 cm³
so, we want to know how long it takes to fill 135,000 cm³.
the water intake flow is 9 l / minute.
now we need to know that a cube of 10 cm side length contains exactly 1 liter of water.
such a cube has the volume
10×10×10 = 10³ = 1000 cm³
so, 1000 cm³ = 1 liter.
and we need to fill 135,000 cm³.
how many times fit 1000 cm³ into 135,000 cm³ ?
135000/1000 = 135 times.
and that means it would take 135 minutes to fill it, if the flow was 1 l / minute.
but it is faster (9 times faster) : 9 l / minute
so, how many minutes ?
135 / 9 = 15 minutes
it takes 15 minutes to fill 3/4 of the tank.
Answer:
15 minutes
Step-by-step explanation:
The volume (V) of the tank is calculated as
V = lbh (l is the length, b the breadth and h the height (
here l = 80, b = 50, h = 45 , then
V = 80 × 50 × 45 = 180000 cm³
1 litre = 1000 cm³ , then
9 litres = 9 × 1000 = 9000 cm³
Divide the volume of the tank by 9000 for time in minutes
180000 ÷ 9000 = 20 minutes
It takes [tex]\frac{3}{4}[/tex] × 20 = 15 minutes to fill [tex]\frac{3}{4}[/tex] of the tank
Astronomers measure large distances in light-years. One light-year is the distance that light
can travel in one year, or approximately 5.88x10^12 miles. Suppose a star is 2.23x10^2 light-
years from Earth. In scientific notation, approximately how many miles is it?
A. 2.23x10^14
B. 1.31x10^14
C. 1.31X10^15
D. 5.88x10^12
Answers
Answer:
it's C
Step-by-step explanation:
Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5.88\times 10^{12}5.88×1012 miles. Suppose a star is 2.23\times 10^22.23×102 light years from Earth.
To find : In scientific notation, how many miles away a star is from earth?
Solution :
One light-year is the distance that light can travel in one year is 5.88\times 10^{12}5.88×1012 miles.
In 2.23\times 10^22.23×102 lights year the distance is
=5.88\times 10^{12}\times 2.23\times 10^2=5.88×1012×2.23×102
=1.31124\times10^{15}=1.31124×1015
Therefore, Option C is correct.
Determine the cost of flooring a home office with carpet tiles, ceramic tiles, and laminate tiles. (Just flooring-not labor,tools,equipment,etc). Show all calculations. Include units with final and answers in space provided. Round to the nearest tenth if needed.
a) Carpet price $46.44 per box of 16 carpet tiles. Each tile 18"x 18"
Sold by the box only
b) Ceramic tile $2.98 for each individual tile. Each tile 12"x"12
Sold by the individual tile
c) Laminate cost $34.88 for a box that covers 17.5 square feet.
Sold by the box only
Question- 1.) How much flooring will be needed for the new office?
2.) Calculate the cost of flooring the new office with carpet tiles.
3.)Calculate the cost of flooring the new office with ceramic tiles
4.) Calculate the cost of flooring the new office with laminate flooring
Show all Work
(Please Help Thank you so much)
Answers
Find the slope of each line points (3,4) and (5,4)
Answers
Step-by-step explanation:
Slope formula:
[tex] \frac{y2}{x2} - \frac{y1}{x1} = m[/tex]
m = slope
Substitute the points into the formula format:
[tex] \frac{4}{5} - \frac{4}{3} = m[/tex]
Solve:
[tex] \frac{0}{2} = m[/tex]
The slope is 0.
The line doesn't increase or decrease.
Solve the equation, 3x – 6 = 12, for x. Which of the following properties did you apply? Question 20 options: A) Distributive property, subtraction property of equality, and multiplication property of equality B) Distributive property, addition property of equality, and division property of equality C) Addition property of equality and division property of equality D) Addition property of equality and multiplication property of equality
Answers
Answer:
C) Addition property of equality and division property of equality
Step-by-step explanation:
To find the answer, let's first solve the equation for x...
3x-6=12
Add 6 to both sides (Addition property of equality)
3x=6
Divide both sides by 3 (Division property of equality)
x=2
We used both the addition property of equality and the division property of equality therefore the answer is C
You roll a six sided die. Find the probability of 1) event A rolling a 3.
2) event B rolling a 7 3) event C rolling a number less than 5.
Answers
Answer:
total sum (s)= 6
probability of getting a 3 = 3÷6
= 1÷2
Step-by-step explanation:
probability of getting a 7 =0÷7
=0
probability of getting less than 5 =4÷6
2÷3
The equation of line p is y=−4x+1. Line q is perpendicular to line p and passes through (−4, 1). What is the equation of line q?
Write the equation in slope-intercept form with no spaces. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Answers
Answer:
[tex]\displaystyle y = \frac{1}{4}\, x + 2[/tex].
Step-by-step explanation:
The question is asking for the slope-intercept equation of a line. The slope-intercept form equation of a line is in the form [tex]y = m\, x + b[/tex], where:
[tex]m[/tex] (a constant) is the slope of the line, and[tex]b[/tex] (also a constant) is the [tex]y[/tex]-intercept of that line.For example, the equation of the first line, [tex]y = -4\, x + 1[/tex], is given in slope-intercept form. The slope of that line is [tex]m_{1} = (-4)[/tex] while the [tex]y[/tex]-intercept of that line is [tex]b_{1} = 1[/tex].
Both [tex]m[/tex] and [tex]b[/tex] need to be found for the second line.
Start by finding the slope [tex]m_{2}[/tex] of the second line.
Make use of the fact that if two lines in a plane are perpendicular to one another, the product of their slopes would be [tex](-1)[/tex]. In other words, if a line with slope [tex]m_{1}[/tex] is perpendicular to a line with slope [tex]m_{2}[/tex], then [tex]m_{1}\, m_{2} = (-1)[/tex]. Rearrange to obtain [tex]m_{2} = (-1) / m_{1}[/tex].
In this question, since the slope of the first line is [tex]m_{1} = (-4)[/tex], the slope of the second line (perpendicular to the first line) would be [tex]m_{2} = (-1) / (-4) = (1/4)[/tex].
Thus, the equation of the second line would be of the form [tex]\displaystyle y = (1/4)\, x + b_{2}[/tex] for some constant [tex]b_{2}[/tex] that needs to be found.
Make use of the fact that the second line goes through the point [tex](-4,\, 1)[/tex] to find the value of [tex]b_{2}[/tex]. Since the point [tex](-4,\, 1)\![/tex] is on the second line, the equation of the second line should hold after substituting in [tex]x = (-4)[/tex] and [tex]y = 1[/tex]. That is:
[tex]1 = (1/4)\times (-4) + b_{2}[/tex].
Solve this equation for [tex]b_{2}[/tex]:
[tex]b_{2} = 2[/tex].
Therefore, the equation of the second line would be [tex]y = (1/4)\, x + 2[/tex].
A coin is tossed 3 times and the outcome of heads or tails recorded for each toss. This is repeated until there have been 3 coin tosses 25 times. This list shows the results.
HTT, HHH, HTH, THT, THH,THT, THH, THT, HHT, TTH,HHH, TTT, HHT, THH, HTT,HHH, THT, HTT, HHT, HTH,THH, HTT, THH, TTH, HTT
According to this data, what is the experimental probability of getting exactly 2 heads out of 3 coin tosses?
Select from the drop-down menu to correctly complete the statement.
The experimental probability of getting exactly 2 heads is
Choose...
34
40
46
52
Answers
Answer:
B. 40%Step-by-step explanation:
We can count two heads out of 3 coin tosses, this is 10 out of 25:
P(HH) = 10/25 = 40/100 = 40%The experimental probability of getting exactly 2 heads out of 3 coin tosses is 40% option second is correct.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
The total outcome set
T = {HTT, HHH, HTH, THT, THH, THT, THH, THT, HHT, TTH, HHH, TTT, HHT, THH, HTT, HHH, THT, HTT, HHT, HTH, THH, HTT, THH, TTH, HTT}
n(T) = 25
Total favourable outcome n(E) = 10
The probability = 10/25 = 0.4
= 0.4×100 = 40%
Thus, the experimental probability of getting exactly 2 heads out of 3 coin tosses is 40% option second is correct.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ2
A hotel room cost $79 per night. Meg's family is getting 2 rooms for 5 nights for their trip.
What is the total hotel bill, without tax and fees?
A. 790
B. 880
C. 1056
D. 1120
Answers
y=x+2
y+1= – 4x
Is this ordered pair a solution of the system of equations? Help:(
Answers
Put value of y in Equation 1 in Equation 2.
[tex] \looparrowright \sf y + 1 = - 4x[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf (x + 2) + 1 = - 4x[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf x + 2 + 1 = - 4x[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf x +3= - 4x[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf x + 4x= - 3[/tex]
[tex] \\ \\ [/tex]
[tex]\looparrowright \sf 5x= - 3[/tex]
[tex] \\ \\ [/tex]
[tex]\looparrowright \sf x= \dfrac{ - 3}{5} [/tex]
[tex] \\ \\ [/tex]
Let's find value of y :
[tex] \\ \\ [/tex]
[tex]\looparrowright \sf y=x+2[/tex]
[tex] \\ \\ [/tex]
[tex]\looparrowright \sf y= \dfrac{ - 3}{5} +2[/tex]
[tex] \\ \\ [/tex]
[tex]\looparrowright \sf y= \dfrac{ - 3 + 10}{5} [/tex]
[tex] \\ \\ [/tex]
[tex]\looparrowright \sf y= \dfrac{7}{5} [/tex]
Solution:
[tex]\looparrowright \sf \bigg( \dfrac{ - 3}{5} , \dfrac{7}{5} \bigg)[/tex]
12. Find one solution for each equation. Assume all angles are acute angles
a. cos(0 + 4°) = sin(30 +2°)
Answers
Answer:
21 degrees
Step-by-step explanation:
I'm assuming that the 0 is supposed to be theta, which I'm replacing with x to make it easier for me to type.
Because these angles are acute, we can use the fact that if two angles A and B are complementary, then sinA = cosB.
So we can get that x+4+3x+2=90
4x+6=90
4x=84
x=21
A bakery give me three options 12 cupcakes for $29 24 cupcakes for $56 50 cupcakes for $129 find each unit price to the nearest cent
Answers
a = 29 / 12
b = 56 / 24
c = 129 / 50
a = 2.42
b = 2.33
c = 2.58
b is cheapest, 24 for $56
You and eight friends plan a surprise party. Each of you contributes the same amount of
money m for food. Their mom also contributes $20.
a. Write an algebraic expression for the total amount of money contributed for food.
b. Evaluate your expression if each person contributed $10.50
Answers
Answer:
a. 9m + 8×$20 = $340
b. 9×$10.50 + 8×$10.50 = $178.50
Step-by-step explanation:
Its self-explanatory
Nathan is making blueberry and pineapple kebabs. Each kebab needs the same number of blueberries, b, and the same number of pineapple pieces, p.
a. Nathan wants to check if he has enough of each type of fruit to make 12 kebabs. How can the expression 12b + 12p help him do that?
b. Nathan's friend Linda offers to help him make some of the kebabs. Nathan wants to set aside enough fruit for her to make 3 of the kebabs. How can you rewrite 12b + 12p so that it shows the fruit for Nathan's kebabs and the fruit for Linda's kebabs separately?
Answers
Nathan needs 12b + 12p fruits while Linda needs 3b + 3p fruits
Equation
An equation is an expression used to show the relationship between two or more numbers and variables.
Given each kebab needs the same number of blueberries, b, and the same number of pineapple pieces, p.
a) For 12 kebabs:
Number of fruit = 12(b + p) = 12b + 12p
b) For Linda 3 kebab:
Number of fruit = 3(b + p) = 3b + 3p
Nathan needs 12b + 12p fruits while Linda needs 3b + 3p fruits
Find out more on Equation at: https://brainly.com/question/18831322
Use the number lines below to fill in an equivalent fraction.
1/4
Answers
Explanation:
Math…
1/4 is also equal to:
1/4 = 2/8
1/4 = 4/16
1/4 = 8/32
1/4 = 16/64
1/4 = 32/128
1/4 = 64/256
1/4 = 128/512
1/4 = 256/1024
Hope this helps!
I don't know how to do this
Answers
Answer: 2x+3 and -1
Step-by-step explanation:
a)
[tex]A=\pi r^2 = 4\pi x^2 + 12\pi x + 9\pi\\r^2 = 4x^2 + 12x + 9\\r^2 = (2x+3)^2\\r = 2x+3[/tex]
b) Radius has to be greater than 0, so 2x + 3 > 0
2x > -3
x > -1.5
So least possible integer value is -1
in the sequence 5,11,19,29,41
find the 25th term
Answers
Answer:
25th term = 701
Step-by-step explanation:
see attached
have a great day :)
Maya wants to show 28 as tens and ones . What are all the ways ?
Answers
Answer:
2 tens and 8 ones
Step-by-step explanation:
2 tens =20 , 8 ones = 8 . 20+8=28
Hope this helped
AABC and ADEF are similar. Find the missing side length.
Answers
Answer:
/\ABC------/\DEF
the ratio of the the corresponding sites must be same
AB/AC=DE/DF
AB/30=4/5
AB=(4/5)30
AB=24
HOPE IT HELPED.
PLEASE MARK BRAINLIEST
I need help with math please
Answers
Okay, so the function is to do x times 2, then subtract 4.
6 x 2 = 12, 12 - 4 = 8. The first one is 8.
2 x 2 = 4. 4 - 4 = 0.
-4 x 2 = -8. -8 - 4 = -12. The last is -12.
With this information we can tell that it is C, 8, 0, -12.
What is the area of this triangle?
1375 ft
120 ft
55 ft
• 1500 12
25 ft
3300
4500
75 ft
1 2 3
5
Answers
Answer:
1500 ft²
Step-by-step explanation:
The area of the triangle is given by the formula ...
A = 1/2bh
For a base of 120 ft and a height of 25 ft, the area is ...
A = 1/2(120 ft)(25 ft) = 1500 ft²
_____
Additional comment
As you can see from the attachment, the area from side lengths is different. The actual height is not 25 ft, but is closer to 24.65 ft.
Answer:
1500 ft
Step-by-step explanation:
answer this please? :)
Answers
Answer:
yes
Step-by-step explanation:
see the attachement
Are any two line segments always similar or not always similar
Answers
Answer:
➢ Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane. ... If you drag any of the four endpoints, the other segment will change length to remain congruent with the one you are changing.
[tex]Into \: your Arms[/tex]
#CarryOnLearning
Answer:
No, they are not
Step-by-step explanation:
Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane.
If you drag any of the four endpoints, the other segment will change length to remain congruent with the one you are changing.
PLS ANSWER AS SOON AS POSSIBLE
Answers
Step-by-step explanation:
[tex]36 - {b}^{2} - {c}^{2} + 2bc[/tex]
Factor out -1
[tex] - ( - 36 + {b}^{2} + {c}^{2} - 2bc[/tex]
[tex] -( (b + c) { }^{2} - 36[/tex]
[tex] - (b + c + 6)( b + c - 6)[/tex]
Find the value of xif 3(x + 5 ) =-6
Answers
Answer:
-7
Step-by-step explanation:
A equation is given to us and we need to find out the value of x . The given equation is ,
[tex]\longrightarrow 3( x +5)=-6 [/tex]
Simplify the parenthesis ,
[tex]\longrightarrow 3x + 3(5)=-6[/tex]
Simplify,
[tex]\longrightarrow 3x +15 = -6[/tex]
Subtracting 15 to both sides ,
[tex]\longrightarrow 3x =-6-15[/tex]
Simplify,
[tex]\longrightarrow 3x = -21 [/tex]
Divide both sides by 3,
[tex]\longrightarrow x = -7 [/tex]
This is the required answer!
Help to solve for x by completing the square
Answers
here u go, if u need it clearer I will re write just tell me
Answer:10.4 or -0.4
Step-by-step explanation:
The explanation is in the attached file below
How long does a missed payment on a mortgage stay on a consumer’s credit report?
A 2 years C 7 years
B 10 years D 5 years
Answers
Answer: C) 7 years
There's not much explanation other than I did an online search for the answer. Many sources I'm finding are saying "up to 7 years", which means that is the longest it will stay on the credit report.