volume of a pyramid = length x width x height
3
because a square has the same length and width, length = width = side
volume of a pyramid = side x side x height
3
volume of a pyramid = side² x height
3
We know the volume of the pyramid is 120 cubic meters, and the height is 10 meters, so:
120 = side² x 10
3
multiply both sides by 3
360 = side² x 10
divide both sides by 10
36 = side²
square root both sides
6 = side
A side length of the base is 6 meters.
Mohammed built a building that can carry up to 5 tons. If each person weighs about 150 pounds, how many people can fit onto the building that Mohammed built?
Answer:
Step-by-step explanation:
To start solving this problem, you need to figure out how many Pounds( I'll use lbs.) = 5 Tons( I'll use T).
2,000 lbs. = 1 T.
X 5 X 5
10,000 lbs. = 5 T.
Now we divide. That just means that if we know that 1 person( I'll use P) = 150, we just divide 5 T( 10,000 lbs.) by 150 lbs.
10,000/150=66.6666666667
hope this helps!!
The dry ingredients in a chocolate cake recipe are 2 cups of flour, 3/2 cups of sugar, and 3/4 cup of cocoa. How many cups of dry ingredients are in the cake mix?
Answer: There are four and one-fourth cups of dry ingredients are in the cake mix.
Step-by-step explanation:
Given: Quantities of dry ingredients for cake:
2 cups of flour, [tex]\dfrac32[/tex] cups of sugar, and [tex]\dfrac34[/tex] cup of cocoa.
Total cups of ingredients used = [tex]2+\dfrac32+\dfrac34[/tex]
[tex]\dfrac{2\times4+3\times2+3}{4}\\\\=\dfrac{8+6+3}{4}\\\\=\dfrac{17}{4}\\\\=\dfrac{16+1}{4}\\\\=4\dfrac14\text{ cups}[/tex]
Hence, there are four and one-fourth cups of dry ingredients are in the cake mix.
a designer is making a banner, as shown in the diagram, of width 3x and height 2x, where x is in feet. one foot of material on each side is gray, as shown below
Answer:
a) f(x) = 6x^2 - 4x
b) 80 ft²
Step-by-step explanation:
Refer to attached for full question
a.
Area formula for rectangle:
A = whWe see the width of the white part of the banner is 3x - 2 and height is 2x
Function to define the area
f(x) = (3x - 2)*2x = 6x^2 - 4xb.
If maximum width of white area is 10 ft, then the dimensions are:
3x - 2 = 10 ⇒ 3x = 12 ⇒ x = 4w = 10, h = 2*4 = 8A= 10*8 = 80 ft²√−100 = ___ + ___ i
can anyone help? (✿◡‿◡)
Answer:
0+10
Step-by-step explanation:
yes
This is really head to so try yo best
???
soooo..........whats ur question
Measuring the Wind Speed of a HurricaneWhen measuring the wind speed of a hurricane or similar storm, meteorologists don’t want to get hit by flying debris. They use a measure available to them in the comfort of their TV studio. Luckily for the meteorologists, the barometric pressure is linearly related to the wind speed.Suppose scientists compared the wind speeds and barometric pressure readings of two severe storms over the Atlantic Ocean. For one of the storms, the barometric pressure was 1,000 mb (millibars), and the maximum wind speed was 100 kmh (kilometers per hour). The second had a barometric pressure of 960 mb and maximum wind speeds of 180 kmh. (a)Develop a rule that you could use to predict the wind speed given any barometric pressure.(b)Use your rule to predict the wind speed of a hurricane with a barometric pressure of 980 mb. Using what you know about linearity, explain why your prediction is reasonable. (c)Interpret the intercept for wind speed in this context (i.e., as it pertains to the weather).(d)Explain the meaning of slope in this context.
Answer:
So i found the teacher notes after hours of looking here are the exact answers so i would recommend changing the wording.
Part A: Ordered pairs in the form (mb, kmh): (1,000, 100) and (960,180) Let X be the barometric pressure and Y be the wind speed.
Slope= (180-100)
---------------- = -2
(960-1000)
Formula: y=-2(x-1000)+100
Part B: y=-2(980-1000)+100=140
140 kmh is reasonable. Because 980 mb is halfway between 960 mb and 1000 mb, we should expect a wind speed halfway between 180 kmh and 100 kmh.
Part C: The wind speed intercept is (0,2100) [or (2100,0) if written that way.] This means that when brometric pressure is 0 mb, then the wind speed would be 2100 kmh. However in the context of real weather, this is an impossible situation.
Part D: The slope means that every decrease of 2 kmh in wind speed corresponds to a 1 mb increase in barometric pressure.
hoped this helped :)
Is y = IxI a function? Explain.
Answer:
It is a function because there is one y value for any x value, and it passes the VERTICAL line test. Horizontal line test is for checking if it is one-to-one, which will tell you if the inverse is a function or not.
Does any one want to hear a joke?
Answer:
yes pls my life is boring
Step-by-step explanation:
X + 8 =-12
ale
Soy unni
w
Answer:
x=-20
Step-by-step explanation:
x+8−8=−12−8
x=−20
Answer:
The answer is -20
Step-by-step explanation:
X+8=-12
You subtract 8 from the left the the right side of the equal sign.
This leaves: X=-20
The reason is, when you subtract a negitive from a negitive you add them together given that they have the same + or - sign. In this case, they are both negitive.
12+8 equals 20
But because it's negive you have to add them together.
Given the graph below, which of the following represents the domain of the function?
Anyone please help ???? Hurry
A teacher wrote this expression on the board (-6)(2)+(-8+4)
Answer:
The answer is -16
Step-by-step explanation:
1. Solve the following equation.
-5x + 13 = 1 – 7x
-5x+13=1-7x
-5x+7x=1-13
2x=-12
2x\2=-12\2
x=-6
how to divide 2432.5 by ten
Answer: 243.25.
Step-by-step explanation: To divide by ten is to move the decimal point one digit to the left. Thus, 2432.5/10 is 243.25.
Help! Plz!
What reflections map the figure onto itself?
The reflections that map the figure onto itself are Ra and Rb where a = and b =
9514 1404 393
Answer:
a = mb = nStep-by-step explanation:
The axes of symmetry are shown and labeled m and n. Reflection across either (or both) axis of symmetry will map the figure to itself. Apparently, you want to designate those reflections as ...
Ra . . . where a = m
Rb . . . where b = n
Answer:
hope this pic helps enjoy
Please help!!! Use equivalent ratios to find the unknown value
Answer:
24/27=8/9
Step-by-step explanation:
I NEED THIS ASAP PLEASE!!! SHOW WORK
The enrollment at both the University of Texas at El Paso (UTEP) and the University of New Hampshire at Durham (UNH) decreased for the 2010-2011 school year. The enrollment at UTEP is 1977 less than twice the enrollment at UNH. Together, these two schools enrolled 29,796 students. Find the number of students enrolled at each school.
Answer.:
Step-by-step explanation:
What is 50% of 50? Use a diagram to show your work. Draw a diagram to help you.?
Answer:
25.
Step-by-step explanation:
50% = 1/2 and 1/2 of 50 is 25. so 50% is 25.
Answer:
The answer is 25.
Step-by-step explanation:
This is actually very simple but other percentages would be harder. 50% s the same as 1/2 or 0.5. all you have to do is divide 50/2 which is 25. 25 is 50% of 50.
If this helped I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
what is the vertex of y=x^2 +x-6?
y =(x+ 1/2 ²- 25/4 . explanation. y=x²+x=6 . complete the square.
y=x²+x+(1/2)² -6 - 1/4 . simplify
y=(x+1/2²)- 25/4 in the vertex form
hope this will help u
The cylinder shown has a lateral surface area of about 60sq in. Which answer is closest to the height of the cylinder? Use 3.14 to approximate pi
Answer:3.2 inch
Step-by-step explanation:
We have the following data:
Al (lateral surface area) = 80 in²
R (ratio) = 4 in
h (height) = ? (in inches)
Adopt : π ≈ 3.14
We apply the data to the formula, we have:
Answer:We have the following data:
Al (lateral surface area) = 80 in²
R (ratio) = 4 in
h (height) = ? (in inches)
Adopt : π ≈ 3.14
We apply the data to the formula, we have:
Answer:
≈ 3.2 inches
________________________
≈ 3.2 inches
________________________
5th grade math. Correct answer will be marked brainliest.
Answer: 1,285, 1,282, 1,278
Step-by-step explanation:
Answer:
1,285, 1,282, 1,278
Step-by-step explanation:
A shortcut would ensure a safer reaction. A shortcut may provide a faster reaction. A reaction with a shortcut would yield more chemical output. A reaction with a shortcut would require less chemical input.
Answer: the first one
Step-by-step explanation:
Answer:
What is the benefit of using a shortcut in a reaction between two chemicals?
A shortcut would ensure a safer reaction.
Step-by-step explanation:
PLEASE HELP I HAVE NO IDEA 1. How can square trinomials difference of square binomials some of cubes and differences of cubes identify for factoring?
Answer:
square trinominals??????????
Step-by-step explanation:
i hope it can help u a bit
The other two special factoring formulas you'll need to memorize are very similar to one another; they're the formulas for factoring the sums and the differences of cubes. Here are the two formulas:
Factoring a Sum of Cubes:
a3 + b3 = (a + b)(a2 – ab + b2)
Factoring a Difference of Cubes:
a3 – b3 = (a – b)(a2 + ab + b2)
Which expression would be easier to simplify if you used the associative property to change the grouping?
A. ( 50 + 50 ) + 63
B. ( 43 + 60 ) + 40
C. ( 2/5 + 3/5 ) + 7/3
D. [ - 14 + ( - 26 ) ] + 67
Answer:
probably A
Step-by-step explanation:
What the answer to this asap
Answer:
? is 24
Step-by-step explanation:
Answer:
? = 24
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{?}{18}[/tex] = [tex]\frac{20}{15}[/tex] ( cross- multiply )
15? = 360 ( divide both sides by 15 )
? = 24
First to answer gets a brainliest! (everything is in the photo)
Answer:
It is ( D )
Step-by-step explanation:
Have a good day
Let H(x) be the percent of U.S. households with Internet use x years after 1980. Match each statement with its meaning.
1. H(23)=55
2. H(4)=k
3. H(27)≥61
4. H(17)+H(21)≈H(29)
Options-
(in the picture)
Answer:
H(23)=55 - 55% of U.S households had internet use in 2003.
H(4)=k - k% of U.S households had internet use in 1984.
H(27)≥61 - At least 61 percent of U.S households had internet use in 2007.
H(17)+H(21)≈H(29) - The sum of the percents of U.S. households with internet use in 1997 and 2001 is about the same as the percent of U.S. households with internet use in 2009.
Step-by-step explanation:
I have no idea how to explain, oh well.
From the function, the correct interpretations are:
1. 55% of U.S. households had internet use in 2003.
2. k% of U.S. households had internet use in 1984.
3. At least 61% of U.S. households had Internet use in 2007.
4. The sum of the percents of U.S households with Internet use in 1997 and 2001 is the same as the percent of U.S households with Internet use in 2009.
---------------------------
The function H(x) represents the percentage of households with Internet in x years after 1980, thus x is the number of years after 1980 and H(x) is the percentage of households with internet in year 1980 + x.
1. H(23)=55
1980 + 23 = 2003, thus 55% of U.S. households had internet use in 2003.2. H(4)=k
1980 + 4 = 1984, thus k% of U.S. households had internet use in 1984.3. H(27)≥61
1980 + 27 = 2007, thus: At least 61% of U.S. households had Internet use in 2007.4. H(17)+H(21)≈H(29)
Following the same logic as previous items, as considering that the output is a percentage: The sum of the percents of U.S households with Internet use in 1997 and 2001 is the same as the percent of U.S households with Internet use in 2009.A similar problem is given at https://brainly.com/question/24242199
How are you feeling about your understanding of slope and the graph of a line?
A.
I've got this down!
B.
I get most of it, but I need some practice.
C.
I kind of get it, but I still have some questions.
D.
I'm totally lost and will need help moving forward with this.
This doesn't seem like a academic question. The teacher is simply asking you how if you understand slope and graph of a line. Answer this of your own.
192 miles per 6 gallons
Please help!!! Look at picture
Given: -3(2x + 7) = -29 - 4x; Prove: x = 4
1. -3(2x+7)=-29-4x
2. -6x-21=-29-4x
3. -2x-21=-29
2. 17
4.
-2x=-8
3. 18
4. 19
5. 20
5.
X=4
1
Answer: 1: Given
2: Distribution
3: Subtraction
4: subtraction
5:division
Step-by-step explanation: