The volume of a pyramid that fits exactly inside a cube is 9 cubic feet is 3 cubic feet
Volume of a pyramidThe formula for calculating the volume of a pyramid is expressed as:
V = Base area. * height/3
Since it is a cube with a volume of 9 cubic feet, the length of the cube will be:
l = ∛9
l = 2.08
Determine the volume of the pyramid
V = 9/3
V = 3 cubic feet
Hence the volume of a pyramid that fits exactly inside a cube is 9 cubic feet is 3 cubic feet
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Directions: Perform the indicated operation. Write your solution in a separate sheet of paper and change your answer to lowest term if necessary.
Addition
1.)
2.)
3.)
4.)
5.)
Subtraction
1.)
2.)
3.)
4.)
5.)
paki ayos po ng sagot
SALAMAT
For addition 1.) 28 / 5 2.) 27 / 4 3.) 45 / 8 4.) 4 / 3 5.) 23 / 18
For Subtraction 1.) 27 / 5 2.) 20 / 3 3.) 23 / 6 4.) 6 / 5 5.) 16 / 3
What is addition?The method of summing up the given data is called addition. A method of removing certain data from the given data is called subtraction.
Addition
1.) 28 / 5
2.) 27 / 4
3.) 45 / 8
4.) 4 / 3
5.) 23 / 18
Subtraction
1.) 27 / 5
2.) 20 / 3
3.) 23 / 6
4.) 6 / 5
5.) 16 / 3
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Solve the system of equations below: 4x + 6y = 32 and 3x - 6y = 3
Pls show work will give brainliest :)
Answer:
x=5 y=2
Step-by-step explanation:
3x-6y=3
3x=3+6y
x=1+2y
Substitute x for 4x+6y=32
4+8y+6y=32
4+14y=32
14y=28
y=2
3x-12=3
3x=15
x=5
Solve for x. Round to the nearest tenth, if necessary.
wha is 10% of 695,000
Answer:
[tex]69500[/tex]
Step-by-step explanation:
[tex] \frac{695000}{1} \times \frac{10}{100} \\ \\ = 69500[/tex]
an investment made in the stock market decreased at a rate of 1.2% per year for 25 years. what is the current value of the 100,000 dollar investment?
Answer:
73947.52
Step-by-step explanation:
the equation would be 100000 * (0.988)^25
since time is 25 years, and rate is 0.988, since we are decreasing by 0.012.
PLEASE ANSWER NUMBER 32!!!
Answer:
N < -3
Step-by-step explanation:
first off, simply, then subtract the 9s from both sides.
5n < -6 -9
Simplify -6 -9 to -15 , Which gives you
5n < -15
then, divide both sides by 5.
n < 15/5
Simplify 15/5 to 3, Which give you
N < -3
here is your answer.
N < -3
360,000 is 40% of what number?
Answer:
900000
Step-by-step explanation:
the answer to "360000 is 40 percent of what number?" is 900000, and you can also derive that 40 percent of 900000 equals 360000.
Andrea picked 21 pounds of peaches in her orchard. She divided the peaches evenly between 4 large baskets.
How many ounces of peaches did Andrea put in each basket?
1. 1 pound = 16 ounces
2. 21 pounds * 16 ounces = 336 ounces
3. 336 ounces ÷ 4 baskets = 84 ounces per basket
OR
1. 1 pound = 16 ounces
2. 21 pounds ÷ 4 baskets = 5.25 pounds per basket
3. 5.25 pounds * 16 oz = 84 ounces per basket
Hope this helps!!
longest bridge in the world
Answer:
the Danyang–Kunshan Grand Bridge
The world's longest bridge is the Danyang–Kunshan Grand Bridge in China, part of the Beijing-Shanghai High-Speed Railway, according to Encyclopaedia Britannica (opens in new tab). The bridge, which opened in June 2011, spans 102.4 miles (165 kilometers)
Answer:
Danyang–Kunshan Grand Bridge
Step-by-step explanation:
Which is a set of collinear points?
A) G, H, I
B) L, H, I
C) G, H, J
D) G, I, J
In a sample of 45 7th graders, 24 chose baseball as their favorites sport. If there are 528 7th graders in the school, predict the number of students who prefers baseball
What is the value of y?
Answer:
I think that answer is 65....Broo 65 or what broo...
HURRY ITS DUE TODAY!!!
A living room measures 24 feet long and 14 feet wide. A scale drawing is made using a scale factor of 118.
What is the length of the living room in the scale drawing?
Drag and drop a number to correctly complete the statement.
The length of the living room in the scale drawing is Response area ft.
options: 7/9, 4/3, 19/9.
Using proportions, it is found that the length of the living room in the scale drawing is of 4/3 ft.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The scale factor of 1/18 means that on the drawing, each ft represents 18 ft. Hence how many ft represent 24 feet?
[tex]f = \frac{1}{18} \times 24 = \frac{24}{18} = \frac{4}{3}[/tex]
Hence, the length of the living room in the scale drawing is of 4/3 ft.
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Answer:
The guy above is right its 4/3
Step-by-step explanation:
Hope this helped!!!
Please correct me if i'm wrong! :D
please help meeee, will mark brainliest!!!
Answer:
see below
Step-by-step explanation:
If it decreases at 10.5 % per year then 89.5 % remains
Value = y = 35 300 ( .895)^x
value when x = 5.5 y = $ 19177.92
The cosine of an angle a is 0.8. what is the value of sin (a)
Solve for y y/8 = 4
Answer:
32
Step-by-step explanation:
Multiply both sides by 8.
y/8 = 4
y/8 × 8 = 4 × 8
y = 32
Simplify each expression, and classify the result as rational or irrational.
The number 2√5×3√6 is irrational, number √42/√168 is rational as we know π is an irrational number but 22/7 is rational.
What is an irrational number?It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words the irrational number cannot be expressed in the form of p/q form.
A rational number is a sort of real number that has the form p/q and does not equal zero.
= 2√5×3√6
= 6√30
= √1080 = 32.863353450309965
The number is irrational.
= √42/√168
= 1/2
The number is rational.
= 5(4√5 - 3√5)
= 5√5
= √125 = 11.180339887498949
The above number is irrational.
= √64/32
= 1/4
The above number is rational.
= (5√3—√3)/2√3
= 2
The above number is rational.
Similarly, we can find whether a number is irrational or rational
Thus, the number 2√5×3√6 is irrational, number √42/√168 is rational as we know π is an irrational number but 22/7 is rational.
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7-18 use part 1 of the fundamental theorem of calculus to find the derivative of the function.
14. [tex]h(x)=\int_{1}^{\sqrt{x}} \frac{z^{2}}{z^{4}+1} d z[/tex]
[tex]\displaystyle h(x)=\int\limits_{1}^{\sqrt{x}}~\cfrac{z^2}{z^4+1}dz~\hspace{10em}\cfrac{dh}{du}\cdot \stackrel{chain~rule}{\cfrac{du}{dx}\implies \cfrac{dh}{dx}} \\\\[-0.35em] ~\dotfill\\\\ u=\sqrt{x}\implies \cfrac{du}{dx}=\cfrac{1}{2\sqrt{x}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{dh}{dx}\implies \displaystyle \cfrac{d}{du}\left[ \int\limits_{1}^{u}~\cfrac{z^2}{z^4+1}dz \right]\cdot \cfrac{1}{2\sqrt{x}}\implies \left[ \cfrac{u^2}{u^4+1} \right]\cdot \cfrac{1}{2\sqrt{x}} \\\\\\ \stackrel{substituting~back}{\left[ \cfrac{(\sqrt{x})^2}{(\sqrt{x})^4+1} \right]\cdot \cfrac{1}{2\sqrt{x}}}\implies \cfrac{x}{x^2+1}\cdot \cfrac{1}{2\sqrt{x}}\implies \cfrac{\sqrt{x}}{2x^2+2}[/tex]
A marketing executive earns an annual salary of $78,300, and she contributes $6,500 per year to her 401(k) plan. If she has a required deduction for income taxes (federal, state, and local combined) of 27% of pretax income, how much is withheld in income taxes per year?
Answer:
With the assumption being made that the 401-k deductions are pre-tax deductions your calculation is as follows:78,300 - 6,500 = 71,800 (this is your new taxable value)71,800 * 0.27 = 19,386 (This is the amount that will be withheld in income taxes per year.Your answer is A.
Answer:
Step-by-step explanation:
With the assumption being made that the 401-k deductions are pre-tax deductions your calculation is as follows:
78,300 - 6,500 = 71,800 (this is your new taxable value)
71,800 * 0.27 = 19,386 (This is the amount that will be withheld in income taxes per year.
What is the total amount that Matthew's bank will receive after lending him $8,000 for four years at an interest rate of 6 percent, compounded annually? TA= P (1+i)^t
Answer:
10,099.80
Step-by-step explanation:
Given: The principal amount (P)= $8,000
The rate of interest (i)= 6 % = 0.06
Time = 4 years
The formula to calculate the compound amount in x years is given by :-
Then the compound amount received by Matthew after 4 years will be:_
Hence, the total amount that Matthew's bank will receive afeter 4 years =$10,099.80
Answer:
$10,099.82
Step-by-step explanation:
Given formula: [tex]\sf TA = P (1+i)^t[/tex]
where:
TA = total amountP = principal amounti = interest rate (in decimal form)t = time (in years)Given:
P = $8,000i = 6% = 0.06t = 4 yearsSubstituting the given values into the formula:
[tex]\implies \sf TA=8000(1+0.06)^4[/tex]
[tex]\implies \sf TA=10099.81568[/tex]
Therefore, the total amount the Matthew's bank will receive is $10,099.82
ABC Game store sells new games, n, for $19 and used games, u, for $9. The store earned $7500 in revenue last month. The store sold 4 times as many used games as new games. Write a system of equations that represents this scenario.
Answer:
19n+9u=7500 and 4u-n
Step-by-step explanation:
If f (x) = startroot one-half x minus 10 endroot 3, which inequality can be used to find the domain of f(x)?
Because it is a cubic root, the argument can be positive and negative, so the domain is the set of all real numbers.
How to find the domain of our function?
Here we have the function:
[tex]f(x) = \sqrt[3]{\frac{1}{2}*x - 10}[/tex]
Now, if this is a cubic root (as I understand what you wrote) then we can use any value of x inside of that function, because the degree is odd.
Is not the case of the square root, where the argument must only be positive.
With that in mind, we conclude that the domain is the set of all real numbers.
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Answer: C
Step-by-step explanation:
Edge 2023
Dray collects marbles of different colour. 7/8 of his marbles are red. 2/9 of the remaining marbles are blue. How many marbles does he have in total, if the number of green marbles that he has is 14?
Josh must submit for paintings as part of his application to art school if he has 25 to choose from how many ways can he took 4?
Is this true or false?
Answer:
true
Step-by-step explanation:
A cupboard is 1.2 m wide.
Will a stick 1m 5cm long fit across the cupboard?
Give reasons for your answer.
Answer:
cupboard is 1.2 m wide.
Will a stick 1m 5cm long fit across the cupboard?
Give reasons for your answer
what is this please hurry it's a limited time test i'm counting on you guys
Answer:
see below-
Step-by-step explanation:
1st one- congruent
boxes- m1 and m2 , m2 and m3
2nd line- supplementary
m1 and m3
The weekly incomes follow the normal probability distribution, with a mean of $1,000 and standard deviation of $100. What is the area under this normal curve (probability) between $840 and $1,200?
Answer:
0.922
Step-by-step explanation:
→ State the distribution
X ~ N ( 1000 , 100² )
→ State the required probability
p ( 840 < x < 1200)
→ Enter upper bound as 1200 and lower as 840 on the normal cumulative distribution
0.922
Select from the drop-down menu to explain how to find the quotient of 4.082 and 10,000.
To find the quotient of 4.082 and 10,000, move the decimal point in 4.082
Choose...
places to the
Choose...
.
Answer:
Move decimal points in 726.02, 3 points in the left direction
Step-by-step explanation:
Given
Quotient of 726.02 and 1000
This is represented as:
The denominator 1000 has 3 zeros.
This implies that the decimal points will be moved in the left direction by 3 points.
So:
In the diagram below, CFED is a rectangle. If m/CFD = 12x and m/DFE = 6x, find the value of x.
Answer:
5
Step-by-step explanation:
if CFD is 12x and DFE is 6x that means CFE is 18x. 18x has to be equal to 90 degrees because CFED is a rectangle and each corner of a rectangle is 90 degrees.
so:
18x=90
x=5