3 pyramids can fit inside a rectangular prism if both figures have the same measures of bases.
what is pyramid?A three-dimensional figure is a pyramid. Its base is a flat polygon. The remaining faces are all triangles and are referred to as lateral faces. The number of sides on its base is equal to the number of lateral faces. The line segments that two faces intersect to form its edges.
The ratio of volume of pyramid and a prism is 1:3 when they have the same base and height.
A cylinder with the same radius and height is precisely filled with the contents of three conical cups. A prism with the same base and height as three rectangular-base pyramids is exactly filled with their contents.
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Christopher's backyard is in the shape of a trapezoid. The bases of his backyard are 30 and 40 feet long. The height is 8 feet long. What is the area of Christopher's backyard.
the formula for area of a trapezoid is 1/2h•(b+b)
so let's plug in the numbers
1/2h•(70)=525
so divide both sides by 70
1/2h=7.5
now divide both sides by 0.5
h=15
so the area is 150.
--HEART IF IT HELPED--
Please help, points are (-6, -2) and (-3, -7)
Answer:
-1/3
Step-by-step explanation:
-6+3=-3
2 and -7 is 9
Answer:
the correct answer is B
Step-by-step explanation:
go it right!!!
Write an expression to find the amount of money you will earn in a day if you are paid $10.25 an hour and spend $4.00 round trip to get to and from work.
A. 10.25h − 4
B. 10.25h + 4
C. 10.25h(4)
D. 10.25h / 4
Answer:
A. 10.25h − 4
Step-by-step explanation:
Hope this helps
Area (pic included*) Explain why !!
Answer:
B. [tex]A(h) =3h^3 -h[/tex]
Step-by-step explanation:
Given is the figure of a trapezoid with following descriptions.
[tex] b_1=2h^2 +2[/tex]
[tex] b_2 =2h^2 +2+ 2h^2-6=4h^2 - 4[/tex]
[tex] height = h[/tex]
Now, by formula of area of trapezoid, we have:
[tex]A(h) =\frac{1}{2} (b_1+b_2)h[/tex]
[tex]A(h) =\frac{1}{2} (2h^2 +2+4h^2 - 4)h[/tex]
[tex]A(h) =\frac{1}{2} (6h^2 -2)h[/tex]
[tex]A(h) =\frac{1}{2} (6h^3 -2h)[/tex]
[tex]A(h) =\frac{1}{2} \times 2(3h^3 -h)[/tex]
[tex]A(h) =(3h^3 -h)[/tex]
[tex]A(h) =3h^3 -h[/tex]
En una jornada cultural los grupos de 3.° de ESO van a grabar un cortometraje y un clip musical. Al principio se inscribió para el corto el triple de alumnos que para el clip. A última hora, 5 alumnos se cambian del corto al clip y ahora el número de alumnos para el clip es la mitad que para el corto. ¿Cuántos están ahora en cada actividad?
Respuesta:
20 estudiantes
Explicación paso a paso:
Dejar :
número de estudiantes que firmaron para el clip = x
Número de estudiantes que firmaron para cortometraje = 3x
En el último minuto ;
Se convierte en cortometraje; 3x - 5 y el clip se convierte en; x + 5
Por eso ; la ecuación se convierte en;
x + 5 = 1/2 (3x - 5)
x + 5 = 1,5 x - 2,5
x - 1,5x = - 2,5 - 5
- 0.5x = - 7.5
x = 7,5 / 0,5
x = 15
Por lo tanto ;
Cortometraje: 1/2 (3x - 5)
1/2 (3 (15) - 5))
1/2 (45 - 5)
1/2 (40)
= 20
Por tanto, hay 20 alumnos en cada actividad.
A student stated that x = - 5 and
x= -2 are the solutions to the quadratic
equation x2 – 7x + 10 = 0 because the
equation factors to (x - 5)(x - 2) = 0.
Is the student correct or incorrect?
Explain
Answer:
Student is incorrect
Step-by-step explanation:
x^2-7x+10=0
x^2+2x-5x+10=0
x(x-2)-5(x-2)=0
(x-5)(x-2)=0
x-5=0 , x-2=0
x=5 , x=2
So the correct solutions of given equation is 2 and 5
The factors of the equation [tex]x^2- 7x + 10 = 0[/tex] is [tex]x=2,5[/tex] so the students are incorrect.
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given equation is:-
[tex]x^2-7x+10=0\\\\x^2-2x-5x+10=0\\\\x(x-2)-5(x-2)=0\\\\(x-5)(x-2)=0\\\\x-5=0\\\\x=5\\\\x-2=0\\\\x=2[/tex]
Hence, the factors of the equation [tex]x^2- 7x + 10 = 0[/tex] is [tex]x=2,5[/tex] so the students are incorrect.
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Please help!!!! I’ll mark you as brainliest!!!
Answer:
22.50%
Step-by-step explanation:
Rate of return = ( Return on stocks / price at which it is bought) x 100
Return on stocks = (price at which it is sold - price at which it is bought )
Price at which 20 stocks are bought = 20 x 20 = $400
Return = $490 - $400 = $90
($90 / $400) x 100 = 22.50%
For which equation does it make the most sense to solve by using the zero product property? 4x2−2=15 2x2+2x−9=0 x² + 11x +30 = 0 x² + 2x = 119
Answer:
It makes more sense to apply the zero product property on x² + 11x + 30 = 0.
Step-by-step explanation:
The zero product property simply states that if ab = 0, then a = 0 or b = 0 or both are zeros.
Given 4x² – 2 = 15, 2x² + 2x – 9 = 0, x² + 11x + 30 = 0, x² + 2x = 119; let's see which of the above is easiest to apply the zero product property.
1. 4x² – 2 = 15
4x² – 2 – 15 = 0
4x² – 17 = 0
It's not so easy to express the result as a product equal to zero.
2. 2x² + 2x – 9 = 0
This is not factorisable easily and can't be expressed as a product equal to zero easily.
3. x² + 11x + 30 = 0
This is factorisable easily. On factorising we have:
x² + 5x + 6x + 30 = 0
(x + 5)(x + 6) = 0. The zero product property can be applied here easily since x = 5 or x = 6 or both.
4. x² + 2x = 119
x² + 2x – 119 = 0
This is not easily factorisable and cannot be expressed easily as a product equal to zero.
Therefore, it makes more sense to apply the zero product property on
x² + 11x + 30 = 0
Please help, finding radius, giving brainliest pls asap
Answer:
line segment EF EH EG EI
Step-by-step explanation:
what is the slope of the line that contains the points (13,2) and (3,-2)
Answer:
⅖
Step-by-step explanation:
please like my answer and brainliest me... hshshshshs
what is the area of the shaded region and what steps do I have to do to find it out
Answer:
Usually, we would subtract the area of a smaller inner shape from the area of a larger outer shape in order to find the area of the shaded region.
Step-by-step explanation:
Choose the correct phrase for 8n
A 8 plus n
B 8 divided by n
C 8 times n
Terri gets most of her exercise by walking briskly. Last year she walked an average of 4.2 miles per day with a standard deviation of 1.2 miles per day. April swims for exercise last year she swam for a mean of 40 minutes per day with a standard deviation of 8 minutes per day. For the new year, both girls have resolved to exercise more. In January Terri walked an average of 6 miles per day while April swam for an average of one hour per day. Which girl is off to a better start relation to their results from the previous year?
Terri walked in her own 93rd percentile, while April swam in her own 99th percentile. April is off to a slightly better start.
Graph the line y = 6x + 8
Answer:
The answer is in the explanation
Step-by-step explanation:
I hope this helps you
Ms. Hartline grades one math test every 1⁄4 hour. How many math tests does she grade in 2 hours? HELP QUICK!!
Answer:
8 maths tests
Step-by-step explanation:
Given data
We are told that in 1/4 hour that is 0.25hour (15 mins) She grades 1 math test
our aim is to find how many maths test she grade in 3 hours (120min)
Hence
in 15 mins she does 1 grading
in 120 mins she does x
cross multiply
15x= 120
divide both sides by 15
x= 120/15
x= 8 maths test
Hence in 2 hours, she can grade 8 maths tests
Mark earns $440 per week. He receives a 20% raise. What is Mark's weekly pay rate?
New pay = original pay x ( 1 + increase rate)
New pay = 440 x( 1 + 20 %)
New pay = 440 x 1.20
New pay = $528 per week
Which of the following expressions is equivalent to (12x4−4x3+7x+6)+(3x2−4x+14)?
A
12x4−x3+3x+20
B
15x6−8x4+21x+6
C
15x6−4x3+3x+20
D
12x4−4x3+3x2+3x+20
Answer:
It believe its C
Step-by-step explanation:
Find the surface area of the composite figure.
Answer The answer is c.
Step-by-step explanation:
cause i said it was
Help!!!!!!!!!!!!!!!!!!!!!
As a decimal it is 0.45
As a fraction it is 9/20
Hope this helped :T
Substract 9/10
Multiply 9/20
Tamia uses 9.9 pints of white paint and blue paint to paint her bedroom walls. 1/4 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answer:
7.425 pints
Step-by-step explanation:
Given that Tamia uses white and blue paint and 1/4 of the amount is white paint then the fraction of blue paint
= 1 - 1/4
= 3/4
Given that the total quantity of paints is 9.9 pints, the number of blue pints used to paint her bedroom walls
= 3/4 * 9.9
= 29.7/4
= 7.425 pints
In ATUV, the measure of V=90°, TU = 5.4 feet, and VT = 1.6 feet. Find the measure
of ZT to the nearest degree.
U
5.4
хо
V
1.6
Answer:
Submit Ang
Answer:73
Step-by-step explanation:
52. Which pair of points represent a reflection
in the y-axis?
A. A'(-3, -5) and A'(3,-5)
B. B'(7, -6) and B'(7,6)
C. C'(-1, -2) and C'(1, 2)
D. D'(4, 5) and D'(-4,-5)
Answer:A
Step-by-step explanation:
Because if you plot it (-3,-5) is in quadrant 3 and (3,-5) is in quadrant 4 which is a reflection on the y-axis
I want to know the AWNSER to 71.77x6.1
When a normal six-sided die is rolled, what is the probability of getting a 7?
A. 0
B. 1/2
C. 6/7
D. 7/6
[No Links I need an answer and explanation]
Answer:
0
Step-by-step explanation:
probably 0, because a normal dice has six sides and the greatest number is 6, therefore you cannot roll a 7
Which inequality represents the stated situation :
A bus is made to carry a maximum of 85 passengers.
p ≤ 85
p > 85
p < 85
p ≥ 85
Answer: p ≤ 85
Step-by-step explanation: The value of p cannot be greater than 85 but can be equal to or less than 85.
Jack is 15 years younger than Sydney, The sum of their ages is 57. What is Sydney’s age?
Answer:
Sydney is 42 years old
Step-by-step explanation:
57 - 15 = 42
Sarah was thinking of a number. Sarah divides by 7, then adds 9 to get an answer of 3. What was the original number?
Answer:
-42
Step-by-step explanation:
x/7 = y
y + 9 = 3
3 - 9 = y
y = -6
-6 * 7 = x
x = -42
Answer:
-42
Step-by-step explanation:
Do it backwards
Start with 3
SUBTRACT 9 to get -6
MULTIPLY by 7 to get -42.
Check:
Start: -42
Divide by 7: -6
Add 9: 3
Ding Ding!
Write the equation using the table and graph pictured above
(Hint: this is a 2 step equation )
Answer:
y = -2x + 12
Step-by-step explanation:
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
I will use the first point (1, 10) and the last point (5, 2)
Plug in these values:
(2 - 10) / (5 - 1)
Simplify the parentheses.
= (-8) / (4)
Simplify the fraction.
-8/4
= -2
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = -2x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the last point (5, 2). Plug in the x and y values into the x and y of the standard equation.
2 = -2(5) + b
To find b, multiply the slope and the input of x(5)
2 = -10 + b
Now, add 10 to both sides to isolate b.
12 = b
Plug this into your standard equation.
y = -2x + 12
This is your equation.
Check this by plugging in the other point you have not checked yet (1, 10).
y = -2x + 12
10 = -2(1) + 12
10 = -2 + 12
10 = 10
Your equation is correct.
Hope this helps!
5. Krista wants to paint her
house. She buys 7 gallons of
paint. She uses of the paint on
the front of her house and then
buys 14 more gallons of paint.
How many gallons of paint does
she have left?
Answer:
7
Step-by-step explanation:
Andre earns $4,000 a month at his new job in order to track his spending and saving he created a monthly budget. Andre divided his income into five categories and created the following circle graph to represent the budget he created for himself use this circle graph to answer the following questions.
a) Andre is planning on renting a new apartment but he wants to stay within his Budget on rent and the utilities. Andre is looking for an apartment the apartment cost $1,450 per month plus $250 for utilities will this apartment fit with an Andres budget? explain your reasoning
b) how much more money does Andre budget for savings than for groceries and utilities? write answer as a dollar amount
Answer:
If Andre plans on staying within his budget, he should choose Apartment 1.
Step-by-step explanation:
Apartment 1: $1100 rent + $250 utilities = $1350 Total Monthly
Apartment 2: $1350 rent + $100 utilities = $1450 Total Monthly
Andre can spend up to $1320 on rent & $320 on utilities, totaling at $1640. In this situation, Andre needs to save as much money as possible. Either on one of these apartments stay below the budget for monthly cost, but Apartment 2's rent goes $30 higher than his budget allows. In the end, this makes apartment 1 the best option for rent, utilities, and ultimate cost.
If Andre plans on staying within his budget, he should choose Apartment 1.