In the figure, each cube has a volume of 1 cubic unit. Find the volume of the figure and the area of its base.
A rectangular prism is made up of cubes. The length of the prism is 4 units, width is 3 units, and height is 3 units.
Answer:
the volume is 36 and the area of its base is 12
Step-by-step explanation:
volume = 4x3x3 = 36
area of base = 4x3=12 (do not include height)
The area of the base and the volume of the prism are 24 cubic units and 8 square units.
To find the volume of the rectangular prism, you can multiply its length, width, and height together.
In this case, the length is 4 units, the width is 2 units, and the height is 3 units.
Volume = Length x Width x Height
Volume = 4 units x 3 units x 3 units
Volume = 24 cubic units
Therefore, the volume of the rectangular prism is 36 cubic units.
To find the area of the base, you need to consider that the base is a rectangle with a length of 4 units and a width of 3 units.
Area of the Base = Length x Width
Area of the Base = 4 units x 2 units
Area of the Base = 8 square units
Therefore, the area of the base of the rectangular prism is 12 square units.
Hence the area of the base and the volume of the prism are 24 cubic units and 8 square units.
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How is the image of a figure that is dilated related to the original figure?
It is congruent.
It is equivalent.
It is similar.
It is rotated.
A museum gift shop manager wants to put 1,588 polished rocks into small bags to sell as souvenirs. If the shop manager wants to put 14 rocks in each bag, how many complete bags can be filled? How many rocks will be left over?
Answer:
113 bags could be filled and 6 rocks will be left.
Yesterday I ran 9.6 miles at an average speed of 0.4 miles per 5 minutes. How long did it take me to run the 9.6 miles?
Answer:
2 hours
Step-by-step explanation:
9.6/(60/5 x 0.4) = 2 hours
/ = divide
x = multiply
if a+b=30 and a^2+b^2=740 find the value of ab
Step-by-step explanation:
HERE,
a+b=30
a^2+b^2=740
we know that,
[tex]\tt{(a+b)^2=a^2+b^2+2ab }[/tex]
according to the question,
[tex]\tt{ (30)^2=740+2ab }[/tex]
[tex]\tt{900=740+2ab }[/tex]
[tex]\tt{ 2ab=900-740 }[/tex]
[tex]\tt{ ab=\dfrac{160}{2} }[/tex]
[tex]\tt{ab=80 }[/tex]
#quality answer
the value of ab is 80
Answer:
Solution given:
(a+b)=30....(1)
a²+b²=740......(2)
squaring equation 1:
we have;
formula:
(a+b)²=a²+b²+2ab
use this formula:
(a+b)²=30²
a²+b²+2ab=30²
Substituting value of a²+b²=740
740+2ab=30²
take constant term on one side.
2ab=30²-740
subtract :30²-740
2ab=160
divide both side by 2
2ab/2=160/2
we get:
ab=80
the value of ab is 80
Eduardo solved the following inequality, and his work is shown below:
−5(x + 4) ≥ 4x − 38
−5x − 20 ≥ 4x − 38
−9x − 20 ≥ −38
−9x ≥ −18
x ≥ 2
What mistake did Eduardo make in solving the inequality?
a.When dividing by −9, he did not change the direction of the sign.
b.He subtracted 4x from both sides when he should have added.
c.He added 20 to both sides when he should have subtracted.
d.He did not make a mistake.
Answer:
It's Option D
Step-by-step explanation:
All of Eduardo's steps are justified.
Answer:
D
Step-by-step explanation:
(30 points and will give brainiest if correct) You have a pile of quarters and nickels that add up to $10.35. There are 4 times as many
nickels as quarters. How many of each type of coin do you have?
165 quarters and 11 nickles
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Tara and Jane just had business cards made. Tara's printing company charged a one-time setup fee of $10 and then $16 per box of cards. Jane, meanwhile, ordered hers online. They cost $17 per box. There was no setup fee, but she had to pay $6 to have her order shipped to her house. By coincidence, Tara and Jane ended up spending the same amount on their business cards. How many boxes did each buy? How much did each spend?
Tara and Jane each bought _____ boxes of business cards, spending $______
Two points A and B are given by A(−1,a) and B(b,5).The equation of the perpendicular bisector of AB is given by y=2x−3
Find the values of a and b.
Answer:
tty5bujnvdgfvbh
Step-by-step explanation:
The expression 2x + 4 would be a ?
Submit 10
Question 1 of 40 POS
The area of a rectangular tabletop is 24 ft.^2 lThe length of the table is 2
longer than its width. Which equation could be used to find the width (w) of the tabletop?
0 24 = 2 + 2
O 24 = +
O 24 - 22
O 24 = 22 + 2
Answer:
The equation required to find Width of rectangle is: [tex]\mathbf{24=2x+2}[/tex]
Step-by-step explanation:
Area of rectangular table top = 24 ft^2
Let width of table = x
Length of table = x+2
We need to find equation that could be used to find the width (w) of the table top?
The formula used is: [tex]Area\:of\:rectangle=Length \times Width[/tex]
Putting values in formula and finding the equation:
[tex]Area\:of\:rectangle=Length \times Width\\24=x+x+2\\24=2x+2\\[/tex]
So, the equation required to find Width of rectangle is: [tex]\mathbf{24=2x+2}[/tex]
The options given are not complete. So please verify your answer.
need help on this please
Answer:
Q11: 4, Q12: 40
Step-by-step explanation:
HELP ASAP
Molly has two scoops that she uses for cat food. One scoop is cylinder shaped and the other is cone shaped. The two scoops have the same radius and the same height.
True or False: The two scoops will hold the same amount of cat food.
If False, which scoop will hold more food? (If this option is chosen, you should type either Cylinder or Cone)
True
False
Answer:
False
The cylinder holds more food.
If the markup is 20% and the selling price is $45.00, what is the initial cost?
Answer:
$54.00
Step-by-step explanation:
Ok so not sure how to explain but here is my work.
I took 45 and found 20%. Which is 9. I will then add that back into the original 45 which comes out to a grand total of 54.
Which of the following is not true about the inverse of f (x) = -3x+5/2
Answer:did you get the answer?
Step-by-step explanation:
m=4 and the point is (3,10), what is the correct substitution (y=mx+b) and the value of b? a. 3=10(4)+b; b=11 b. 10=3(4)+b; b=12 c. 10=4(3)+b; b=-2 d. 10=4(3)+b; b=3
Answer:
c. 10=4(3)+b; b=-2
Step-by-step explanation:
When given a single point (x1, y1)
The Equation of a line formula is given as:
y - y1 = m(x - x1)
From the question
m=4
the point is (3,10),
Hence, Equation of the line is
y - 10 = 4(x - 3)
y - 10 = 4x - 12
y = 4x - 12 + 10
y = 4x - 2
Hence, the correct substitution (y=mx+b)
10 = 4(3) + b
b = -2
Option C is the correct option
48 is 60% of what number? Use the percent equation.
please help me
Answer:
80
Step-by-step explanation:
We already have our first value 48 and second value 60. Let's assume the unknown value is Y which answer we will find out. Multiplying both sides by 100 and dividing both sides of the equation by 60 we will arrive at 80
32°
C
B
D
E
What is the measure of ZABD?
A 32°
B. 58°
O c. 64°
OD. 148°
O E. 180°
The measure of angle ZABD is 106°, the correct option is D.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
The line AE and CD
Now,
The angle sum property to find angle D:
Z + A + B + D = 360° Substitute the given values:
Z + 32 + 58 + D = 360 Simplify:
Z + D = 270 Subtract Z from both sides:
D = 270 - Z
Now, you need to find angle Z. To do that, you can use the fact that opposite angles in a quadrilateral are supplementary, meaning they add up to 180°2. So, angle Z and angle C are supplementary:
Z + C = 180°
You can use the fact that C is an exterior angle of triangle YZX and it is equal to the sum of the opposite interior angles3. Therefore, C = Y + X. Substitute this value:
Z + Y + X = 180°
You are given that Y = 10° and X = 6°. Substitute these values:
Z + 10 + 6 = 180 Simplify:
Z = 164
Now, you can use this value to find angle D:
D = 270 - Z Substitute Z = 164:
D = 270 - 164 Simplify:
D = 106
Therefore, by algebra the answer will be 106°.
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Please help, 20 PTS to whoever gets it right and Brainly
Answer:
this is 7 points low
Step-by-step explanation:
Answer:
No action is needed
Step-by-step explanation:
Because he has a balance budget which is $700
At Pizzazz Pizza, the total price for 5 large pizzas plus 2 small
pizzas is $68. The total for 2 large pizzas and 4 small pizzas is
$56. What is the price of a large pizza? What is the price of a
medium pizza?
Answer please due now!!!
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Substitute a = 4 and b = - 1 into the expression
[tex]\frac{5-2(4+3(-1))}{2}[/tex]
= [tex]\frac{5-2(4-3)}{2}[/tex]
= [tex]\frac{5-2(1)}{2}[/tex]
= [tex]\frac{5-2}{2}[/tex]
= [tex]\frac{3}{2}[/tex]
Do you practice is yoga for the same amount of time every day after he practices yoga for 18 minutes on Saturday he finished 24% of his daily yoga practice how many more minutes do you still practice yoga on Saturday
Answer:
51 minutes
Step-by-step explanation:
Let the total number of minutes required for daily yoga practice = x
Hence:
24% of x = 18 minutes
24/100 × x = 18 minutes
24x /100 = 18 minutes
Cross Multiply
24x = 100 × 18 minutes
x = 1800 minutes/24
x = 75 minutes.
The total number of minutes for daily yoga practice = 75 minutes
How many more minutes do you still practice yoga on Saturday?
This is calculated as:
75 minutes - 24 minutes
= 51 minutes
if x+2=3 what is x please help
Answer:
1
Step-by-step explanation:
Complete The ratio table using multiple operations
4 1 10 10 12.5
Are the ratios in the table equivalent Yes or No
Based on the information, it should be noted that the values in the table will be:
x. 4. 1. 5. 10
y 10. 2.5. 12.5. 25
It should be noted that the ratios are equivalent.
How to illustrate the information?It should be noted that in Mathematics, ratio is used to show the relationship between the variables that are illustrated based on the information given.
In this case, when x is 4, it should be noted that y is 10. Therefore, it should be noted that the relationship between the values will be:
= 4 / 10
= 0.4
Therefore, x is 0.4y.
The ratios are the same. This is because they've a constant value of 0.4 when divided.
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Anthony found a sweater on sale for 15% off! The discount price of the sweater before tax is $22.74. What is the regular price of the sweater before the discount?
9514 1404 393
Answer:
$26.75
Step-by-step explanation:
The after-discount price is 85% of the original price. So, the original price is ...
0.85 × p = 22.74
p = 22.74/0.85 = 26.75 . . . . . divide by the coefficient of p
The regular price is $26.75.
Ms. Sampson is replacing the tile along the edge of her kitchen counter. The edge piece is LaTeX: \frac{1}{6}1 6 feet tall and LaTeX: 2\frac{3}{4}2 3 4 feet wide. What is the area, in square feet, of the edge piece?
Answer:
11/24 square feet
Step-by-step explanation:
Area of the edge piece = Length * Width
Given
Length = 1/6 feet
Width = 2 3/4 feet
Area of the edge piece = 1/6 * 2 3/4
Area of the edge piece = 1/6 * 11/4
Area of the edge piece = 11/(6*4)
Area of the edge piece = 11/24
Hence the area of the edge piece is 11/24 square feet
what is 103947 divided by 654
Answer:
158.94
Step-by-step explanation:
round if needed
Answer:
158.940366972
Step-by-step explanation:
calculator. pretty random question tho.
The subject of the formula below is y.
a=4x/t - p
Rearrange the f make x the subject.
Answer:
x = t(a+p)/4
Step-by-step explanation
Given the expression
a=4x/t - p
We are to make x the subject of the formula
a=4x/t - p
Add p to both sides
a+p = 4x/t - p+p
a+p = 4x/t
Cross multiply
t(a+p) = 4x
Rearrange
4x = t(a+p)
Divide both sides by 4
4x/4 = t(a+p)/4
x = t(a+p)/4
1 point
Draw a triangle with the following interior angles: Angle 1=71 degrees and
Angle 2= 82 degrees. FIND Angle 3. WRITE ANSWER AS THE FOLLOWING;
Angle Angle 3=#
Your answer
Answer:
angle 3 = 27 degrees
Step-by-step explanation:
Answer:
Angle 3 = 27
Step-by-step explanation:
Because the interior angles of a triangle always add up to 180 degrees, you can do 180 - 82 - 71 = 27 degrees for the third angle.
HELpppppppppppp plzzzz