Adrian cuts a block of wood as shown. What is the volume of the block of wood?
Answers
Answer:
432
Step-by-step explanation:
Volume of cuboid:
12 x 4.5 x 5.5 = 297
volume of traingular prism:
(12x5)/2 x 4.5 =135
add them together:
135+297 =432
hope this helps!
So, the required volume of the given wooden block is 432 cubic cm.
The volume of the rectangular and triangular prism:The formula for the volume of the rectangular prism is,
[tex]v=l\times b \times h[/tex]
And the formula for the volume of the triangular prism is,
[tex]v=\frac{1}{2} \times b \times h[/tex]
It is given that,
The volume of the wood is equal to the volume of the rectangular prism and triangular prism.
So, by using the above formula we can write as,
The volume of the wood is,
= volume of the wood is equal to the volume of the rectangular prism + triangular prism.
[tex]=l\times b\times h+\frac{1}{2}\times h\times l\\ =12\times 4.5 \times 5.5 +\frac{1}{2} \times 12\times 4.5 \times 5\\=297+135\\=432 cm^3[/tex]
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Related Questions
What is its length?
Enter the correct answer.
The perimeter of a rectangle is twice the
sum of its length and its width. The
perimeter is 34 meters and its length is 2
meters more than twice its width
What is the length?
Answers
Step-by-step explanation:
The answer is 15
a. f(x) = 4x3 – 10x + 7 one to one
Answers
Answer:
I think is it.
Step-by-step explanation:
An odd function is a function f such that, for all x in the domain of f, -f(x) = f(-x). A one-to-one function is a function f such that f(a) = f(b) implies a = b.
Addison is making caramel apples. She has 2 1/2 bags of apples. One full bag has 8 apples, and each apple weighs 5 ounces. Write an expression that could be used to find the total number of ounces of apples Addison has. Then find the total number of ounces. USE A NUMERICAL EXPRESSION. WILL MARK BRAINLIEST.
Answers
Answer:
20 × 5 = 100 ounces. 100 is the total number of ounces
Which of the following statements that Jasmine made about the string lengths are true? Select all that apply.
A.
The difference between the longest length and shortest length is 14 inches.
B.
I have twice as many 12-inch strings as I do 8-inch strings.
C.
The total length of string that I have is 84 inches.
D.
I cannot determine what the shortest string is by looking at my line plot.
E.
Since I need 100 total inches of string for my project, I have enough string.
helppp
A.P.S!
Answers
Answer:E and D i think
i had this on before and the answer is b and c
An Apple producer sells their product in bags that each contain 16 apples. These apples have a mean weight of 80 grams and a standard deviation of 5 grams. Suppose that each bag represents an SRS of apples, and we calculate the sample mean weight of the apples in each bag. What is the mean and standard deviation of the sampling distribution?
Answers
Mean: 80 grams
Standard Deviation: 1.25 grams
The mean stays the same.
How to find standard deviation in this case would be:
SD divided by the squareroot of the sample.
So, 5/[tex]\sqrt{16}[/tex] = 1.25
I hope this helps!
15 The unit cost per pound for green beans is represented by the
equation y = 1.2x. Which of these points is NOT on the graph of this
proportional relationship?
A (0,0)
B (2,2.4)
C (4,4.8)
D (12, 10)
Answers
Answer:
mbnmbnmbnmbnmbnm
Step-by-step explanation:
bnmbnmbnmbnm
Answer:
D
Step-by-step explanation:
The corret value would be 10 as x and 12 as y, it is flipped
What is the probability of guessing the correct answer to the true-false question and the incorrect answer to the multiple-choice question? multiple choice question has 5 choices.
Answers
Answer:
Probability of getting the correct answer in a "true of false" statement options is 0.5
Step-by-step explanation:
Kindly refer to the attached image for explanations
Answer:
yeah he is right
Step-by-step explanation:
Solve equation by using the quadratic formula.
x + 4x = -4
a. X=-2
b. x=-4
C.
d.
X=-4, X = 4
x = 0, x = 4
Please select the best answer from the choices provided
0 A
0 B
0 C
0D
Answers
Answer:
x=-0.8
Step-by-step explanation:
x+4x=-4
5x=-4
x=-4/5
x=-0.8
Answer:
x = -2
Step by Step explanation:
got it right on ed
A 4-column table with 3 rows. Column 1 has entries run, do not run, total. Column 2 is labeled lift weights with entries 40, blank, 65. Column 3 is labeled do not lift weights with entries blank, x, blank. Column 4 is labeled total with entries 75, blank, 120. Can you determine what number x represents from the information given? Explain how you got your answer.
Answers
The required value of a number of people is 20 who don't do either.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
here, we have,
Column 1 has the entries run, do not run, and total. Column 2 is called lift weights, and it has the values 40, blank, and 65. Column 3 is captioned "do not lift weights" and has entries blank, x, and blank. Column 4 is called total and has the entries 75, blank, and 120.
As per the given information, the required solution would be as:
The number of people who do not run or lift weights by first determining that 55 individuals do not lift weights and 35 people run but do not lift weights. When you subtract 35 from 55, you get 20 people who don't do either.
Thus, the required value of a number of people is 20 who don't do either.
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The number x represents the number of people who do not run and do not lift weights. To calculate x, subtract the number of people who lift weights from the total number, then subtract the number of people who run and lift weights.
Explanation:To find the number that x represents, we can use the information given in a table with a row and column structure. From the total number of people (120) and the number of people that lift weights (65), we deduct the number that run and lift weights (40), leaving us with the number of people who either do not run or do not lift weights.
The total number of people that run is given as 75. Therefore, the number who do not run is 120 - 75 = 45. We know that 65 people lift weights, so by subtraction, 120 - 65 gives us the total number of people who do not lift weights.
Now, using the total number of people who do not lift weights, we can calculate the value of x, which represents the number of people who do not run and also do not lift weights. Subtracting the number of people who run but do not lift weights from the total number who do not lift weights gives us:
Number of people who do not lift weights = Total number of people - Number of people who lift weights
Number of people who do not lift weights = 120 - 65 = 55
Therefore, x equals 55 - 40, since 40 is the number of people who run and lift weights.
x = 55 - 40 = 15
Josie found a small bird bath at a garage sale. The bird bath has a circular opening with a radius of 10 cm, as shown in the diagram below. Using 3.14 for pi, Josie calculates that the water in the small bird bath has 314 cm2 of surface area. Josie lives in a wooded area with lots of birds, so she plans to use the bird bath she found as a scale model to build a much larger bird bath. If she doubles the dimensions of the scale model, how many square centimeters of surface area will the larger bird bath have for bathing?
Answers
Answer: 1256cm
Step-by-step explanation:
Final answer:
When Josie doubles the radius of the bird bath to build a larger one, the new surface area will be 1256 cm², as surface area quadruples when doubling the radius of a circle.
Explanation:
Josie calculated that the surface area of her small bird bath with a radius of 10 cm is 314 cm^2. If she doubles the dimensions for a larger bird bath, the new radius will be 20 cm. To find the surface area of the larger bird bath, we use the formula for the area of a circle, A = πr².
Plugging in the new radius:
A = 3.14 × (20 cm)^2
A = 3.14 × 400 cm^2
A = 1256 cm2
This means the surface area for the larger bird bath Josie plans to build will have 1256 cm^2 for bird bathing. This calculation demonstrates how the surface area of a circle quadruples when the radius is doubled, which is consistent with the principle that surface area scales with the square of the dimension changes.
HELP PLZ WORTH EXTRA POINTS
Answers
Answer:
The answer to your question is 42°
Step-by-step explanation:
Data
m∠BOC = 6x - 6
m∠AOB = 5x + 8
m∠BOC = ?
Process
We know that the segments OA ⊥ OC so they are complementary angles.
1.- The sum of complementary angles equals 90°
m∠BOC + m∠AOB = 90°
2.- Substitution
6x - 6 + 5x + 8 = 90°
3.- Solve for x
6x + 5x = 90 + 6 - 8
4.- Simplify
11x = 88
5.- Result
x = 88/11
x = 8
6.- Calculate m∠BOC
m∠BOC = 6(8) - 6
= 48 - 6
= 42°
Jay just graduated from college and he has decided to open a retirement account that pays 1.75% interest compounded monthly. If he has direct deposits of $100 per month taken out of his paycheck, how much will he have in the account after 42 years?
Answers
Answer:
$51,282
Step-by-step explanation:
100*1.75%=1.75*504 months (42 years)=882
100*504 months (42 years)=50,400
50,400+882=$51,282
Hope this is correct, and helps you out :)
He will have $74,356.50 in his account.
what is interest?Interest is the price you pay to borrow money or the cost you charge to lend money.
Initial investment (PV)= $100
Number of periods (n)=42 years
Interest rate (i)= 1.75%
So, FV= P(1+r/100)^(nt) -1)) / (r/n)
FV= 100(1+0.0175/100)^(12*42) -1)) / (0.0175/12)
FV= $74,356.50
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Which of the following represents the least percent of change? *
a. A coat that was originally priced at $90 is now $72
b. A puppy who weighed 6 ounces at birth now weighs 96 ounces
c. A child grew from 54 inches to 60 inches in 1 year
d. A savings account increased from $500 to $550 in 6 months
Answers
Answer:
Step-by-step explanation:
B. It didn’t grow at all
Which is the better buy, 12 ounces for $7.50 or 1 pound for $9.00? Explain your reasoning.
Answers
and 9/16 = to .56
To determine the better buy, compare the cost per ounce for each option. The second option of 1 pound for $9.00 is the better buy with a lower cost per ounce.
Explanation:To determine which option is the better buy, we need to compare the cost per ounce for each option.
The first option is 12 ounces for $7.50. To find the cost per ounce, we divide the total cost ($7.50) by the number of ounces (12), giving us a cost of $0.625 per ounce.The second option is 1 pound for $9.00, which is equivalent to 16 ounces. To find the cost per ounce, we divide the total cost ($9.00) by the number of ounces (16), giving us a cost of $0.5625 per ounce.Therefore, the second option of 1 pound for $9.00 is the better buy as it has a lower cost per ounce.
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Solve the following system of equations
-5x+2y=6
10x-2y=-16
X=
Y=
Answers
Answer:
5x = - 10
5. 5
x = 2
y = -10
its easyyy
Create a Y and X table using the expression Y= -2x +5
Answers
When x=2, y is 1
When x=3, y is -1
When x=4, y is -3
When x=5, y is -5
Consider this scenario: You deposit $3500 into an account that earns
10% interest compounded annually. Which equation below models the
account balance over time in years? *
•B = 3500(1 + 0.1)*t
•B = 10(1 + 0.35)^t
•B = 10(3500)^t
•B = 3500(0.10)^t
Answers
Answer:
D. 3500(0.10)^t
Step-by-step explanation:
because that's how you get percentage
A regular convex polygon has 14 sides. What is the sum of the measures of the interior angles?
Answers
Answer:
he measure of each interior angle of a regular polygon with 14 sides is about 154.3.
Step-by-step explanation:
Triangle ABC is a right triangle where B is the right angle, AB = x, and BC = x. What could be the first step of a proof BD of the triangle
divides the hypotenuse into two segments of equal length?
Answers
Answer:
x=20
Step-by-step explanation:
Right angle triangle ABC
ac^2=ab^2+bc^2
or (x+9)^2=x^2+(x+1)^2
or x^2+81+18x=x^2+x^2+1+2x
or 80= X^2-16x
or x^2-16x-80=0
x^2-20x+4x-80=0
x(x-20)+4(x-20)=0
(x+4)(x-20)=0
either x=-4 or x=20
since x is a length it can not be negative
Your teacher will give you a drawing of the Apollo Lunar Module. It is drawn at a scale of 1 to 50.
The "legs" of the spacecraft are its landing gear. Measure the legs on the drawing to find the actual length of
each leg on the sides.
After measuring and solving for the actual length, write your answer to the nearest 10 centimeters.
Answers
Final answer:
To find the actual length of each leg of the Apollo Lunar Module, use the given scale of 1 to 50. Measure the length of the leg on the drawing and multiply it by the scale factor.
Explanation:
To find the actual length of each leg of the Apollo Lunar Module, we need to use the given scale of 1 to 50. This means that 1 unit on the drawing represents 50 units in real life. First, measure the length of the leg on the drawing. Let's say it measures 3 centimeters. To find the actual length, multiply the measured length by the scale factor: 3 cm x 50 = 150 centimeters. Therefore, each leg of the Apollo Lunar Module is 150 centimeters long.
Melissa rolls two number cubes, each with sides that are labeled 1 to 6. What is the probability that both number cubes show a 1?
A 1/2
B 1/6
C 1/24
D 1/36
Answers
Answer:
1/36
Step-by-step explanation:
(1/6 * 1/6) = 1/36
Answer:
D 1/36
Step-by-step explanation:
6*6= 36 but if you do (1/6*1/6)= 1/36
why did the bay of pigs invasion happen?
Answers
Answer:
The Bay of Pigs invasion begins when a CIA-financed and -trained group of Cuban refugees lands in Cuba and attempts to topple the communist government of Fidel Castro. The attack was an utter failure. Fidel Castro had been a concern to U.S. policymakers since he seized power in Cuba with a revolution in January 1959.
If point Q is translated 4 units to the right and 2 units up, what are the coordinates of Q'?
Answers
Answer:
-4,2
Step-by-step explanation:
Answer
Q=(4,2)
Step-by-step explanation:
In X axis, count 4 units to the right
In Y axis, count 2 units up
Graph would look like this.
Use the following function rule to find f(2).
f(x) = (9)* + 7
F(2) =
Answers
The value of f(2) for the given function is 25.
Given that, the function rule is f(x)=9x+7.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
To find f(2), substitute x=2 in the given function, we get
f(2)=9(2)+7
= 18+7
= 25
Hence, the value of f(2) for the given function is 25.
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To find f(2) for the function f(x) = 9x + 7, you substitute x with 2, resulting in the calculation 9(2) + 7, which equals 25.
Explanation:To find f(2) for the function f(x) = 9x + 7, we simply substitute x with 2 and calculate the value of the function at that point. Here is the step-by-step calculation:
Substitute x with 2 into the function: f(2) = 9(2) + 7.Multiply 9 by 2: 9 * 2 = 18.Add 7 to the result of step 2: 18 + 7 = 25.Therefore, the value of f(2) is 25.
Find the reference angle for 517°
a.23°
c.113°
b.157°
d.67°
Answers
the anwser is 23 dregrees
What minus 3/8 equals 3/4
Answers
your answer is 3/8
pls mark me brainliest
Answer:
9/8 or 1 1/8
Step-by-step explanation:
You need to find out __ - 3/8 = 3/4, so you first add 3/4 plus 3/8. This gets you 9/8, or 1 and 1/8. This is your answer. To double check, you need to subtract 1 1/8 from 3/8 to get you 3/4.
Is the slope Positive, Negative, Zero or Undefined?
Find the slope
What does m=
Answers
Answer:
0 slope
Step-by-step explanation:
Because if were to be any answer that is greater or less than 0 it would show as going diagonally down or up and that shows as 0 so it goes as a horizontal line.
Answer:
The slope is zero
and m=0
How do the temperature compare? Fro
Answers
Answer:
Step-by-step explanation:
-43.6F/-37.4F/-17/37.3/51.9/52
Quadrilateral DUCKDUCKD, U, C, K is inscribed in circle OOO. What is the measure of \angle K∠Kangle, K?
Answers
Answer:
Measure of ∠K=180-∠U
Or
Measure of ∠K=1/2m(arc DUC)
Step-by-step explanation:
Given:
DUCK quadrilateral inscribed in circle with center O
To Find:
Measure angle K
Solution:
Here the Quadrilateral in inscribed in a circle with center O named as DUCK
So angle K and U are opposite to each other
We know that the angle of Quadrilateral inscribed in a circle are supplemenatry angles
Hence
∠U+∠K=180
Or The ∠K=1/2*m∠arc(DUC).
Hence depending on the given value for arc measure or angle of quadrilateral we calculate the angle K
Answer:
angle K = 95 degrees
Step-by-step explanation:
180 - U = K
180 - 85 = K
H represents hours and p represents pay in dollars. CHOOSE THE CORRECT STATEMENT.
Answers
Answer:
The value of p is always 15 times the value of h
Step-by-step explanation:
5 * 15 = 75
10 * 15 = 150
15 * 15 = 225
20 * 15 = 300
Answer:
The value of p is always 15 times the value of h
Step-by-step explanation:
H p
5 x 15 = 75
10 x 15 = 150