Answer:
25 cm3
Step-by-step explanation:
Step 1: Determine the base area and the height of the pyramid. Step 2: Find the volume using the general formula, V = (1/3) Base Area × Height, or V = a3/6√2 cubic units when the edge length 'a' of the triangular face is known. Step 3: Represent the final answer with cubic units.
Can a polyhedron have 10 faces, 14 vertices and 20 edges
Answer:
nope
Step-by-step explanation:
Since the Euler's formula does not hold true for the given number of faces, edges and vertices, therefore, there does not exist any polyhedron with 10 faces, 20 edges and 15 vertices.
Write a simplified expression, in terms of y, for both area and perimeter of the triangle below
Answer:
Area: [tex]27y^{3} -24y^{2}[/tex]
Perimeter: [tex]6y^{2} +7y+5[/tex]
Step-by-step explanation:
Area:
[tex]\frac{1}{2}[/tex] x base x height
[tex]6y^{2} (\frac{1}{2} )(9y-8)\\3y^{2} (9y-8)\\27y^{3} -24y^{2}[/tex]
Perimeter:
[tex]6y^{2} +4y+(3y+5)\\6y^{2} +7y+5[/tex]
Which of the following is a basic equation?
A.b + 3 = 5
B.O (2, 3)
C .O y-axis
D .3+6
Answer:
A. b + 3 = 5[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. q^2+7q
The square to make a perfect square trinomial as a binomial squared is
(q + 7/2q)² - 49/4.
We have been given that the expression -
q² + 7q.
We have to complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
We know that a perfect square trinomial is in form .
a² + 2ab + b².
To convert our given expression into perfect square trinomial, we need to add and subtract (b/2)² from our given expression.
We can see that value of b is 7, so we need to add and subtract (7/2)² to our expression as:
To complete the square, we will add the square of the half of the coefficient of q to the equation
Coefficient of q = 7
Half of the coefficient = 7/2
Square of the result = (7/2)² = 49/4
Adding 49/4 to the equation will make it a perfect square to have
Upon comparing our expression with , we can see that ,
(a + b)² = a² + 2ab + b²
now we can get
q² + 7q + 49/4 - 49/4
(q + 7/2q)² - 49/4
Therefore, our perfect square would be (q + 7/2q)² - 49/4 .
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Please help me make you show how to solve it please
Answer:
4 (-1 - 2(2)) + 3(-1(2)
4(-1 -4) + -6
4 (-3) + -6
-12 + -6
-18
Step-by-step explanation:
you replace the x with -1 and y with 2
-y- 3 (-3y+5) helpppppppp
Answer:
D = 8y-15
Step-by-step explanation:
-y-9y-15 than combine -y and -9y
so = 8y-15
Which graph represents this equation?
y =
-*12 + 2x - 2
Answer:
I may be wrong but I'm pretty sure that it is -12
Step-by-step explanation:
2×-2=0 -12+0=-12
pls pls help!!!!!!!!!!
9514 1404 393
Answer:
5
Step-by-step explanation:
Let f represent the number of friends. Their total earnings are ...
21f = 105
f = 105/21 = 5 . . . . . divide by the coefficient of f
There are 5 friends in the group.
11) There are 32 students in a closs. Nine of those students are
women. What percent ere mena (round to the nearest tenth)
Which expressions is equivalent to 3x (2x– 3)?
(hint: select ALL that apply. Remember to distribute!)
Hi ;-)
[tex]3x(2x-3)=3x\cdot2x-3x\cdot3=\\\\=\boxed{6x^2-9x}=\boxed{-9x+6x^2}[/tex]
[tex]3x(2x - 3) = 3x2x - 3x3 \\ = 6 {x}^{2} - 9x \\ thank \: you[/tex]
F(x)=-2x^2-3
find f(2)
Step-by-step explanation:
f(x)=-2x²-3
By replacing x with 2, we get
f(2)=-2×2²-3
=-2×4-3
=-8-3
=-11
Pedro is helping refill ketchup bottles at his uncle's diner. He has a huge container with 2
gallons of ketchup, which he distributes evenly among 15 bottles.
How much ketchup goes in each bottle?
Write your answer as a proper fraction or miye
mbar
Answer:
estuvo muy Bien jwjejehebqkwjshhshshshhebwwhwbhwhwuwjwywgegevwhwvwgww
Answer:
Naosei
Step-by-step explanation:
Select two ratios that are equivalent to 7:107:107, colon, 10.
Answer:
107:107
Step-by-step explanation:
107:107 are the equivalent ratios as both numbers are same.
Complete the missing ? That will make the sentences true
I’m confused on what to do please help!!
Answer:
1.21 ) 8
1.22) 6
1.23) €
1.24)⊂
1.25)=
Answer:
[tex]1)7 \\ 2)6 \\ 3) > \\ 4)0 \\ 5)phy[/tex]
Find the area of a circle with a diameter of 10 feet using pi=3.14
Answer:
78.5 ft^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2 where r is the radius
r = d/2 where d is the diameter
r = 10/2 = 5
A = 3.14 ( 5)^2
A = 78.5 ft^2
simplify square root of 3/8
please give steps!!
Step-by-step explanation:
Write the expression
[tex] \sqrt{ \frac{3}{8} } [/tex]
Let make the denominator a perfect square that is a multiple of 8. 16 is a multiple of 8 and a perfect square so
[tex] \sqrt{ \frac{3}{8} } = \sqrt{ \frac{6}{16} } [/tex]
Know that
[tex] \sqrt{ \frac{x}{y} } = \frac{ \sqrt{x} }{ \sqrt{y} } [/tex]
So
[tex] \sqrt{ \frac{6}{16} } = \frac{ \sqrt{6} }{4} [/tex]
The simplified form of the square root of 3/8 is (√6) / 4.
To simplify the square root of 3/8, we can simplify the numerator and denominator separately.
For the numerator, we take the square root of 3:
√3
For the denominator, we take the square root of 8:
√8
Now, let's simplify each of them:
√3 cannot be simplified further because 3 is a prime number.
√8 can be simplified by factoring out the perfect square:
√8 = √(4 × 2)
Since 4 is a perfect square (2² = 4), we can take it out of the square root:
√8 = 2√2
Now, let's put the simplified numerator and denominator together:
√3/8 = √3 / (2√2)
To rationalize the denominator, we multiply the expression by the conjugate of the denominator:
(√3 / (2√2)) × (√2 / √2) = (√3√2) / (2√2√2)
Simplifying the denominator:
(√3√2) / (2√4) = (√6) / (2 × 2)
Simplifying further:
(√6) / (2×2) = (√6) / 4
Therefore, the simplified form of the square root of 3/8 is (√6) / 4.
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25.5 divided by 1.25
Answer:
Step-by-step explanation:
Answer:
20.4
Step-by-step explanation:
I have no explanation for this but hope this helps
for the food described, find what percent of total calories is from fat. if necessary round to the nearest tenth of a percent
*calories: 120
* calories from fat: 45
The percentage of 45 out of 120 is 38% thus 38% calories from fat.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
Given that,
Total calories = 120
Calories from fat = 45
Fraction of calories from fat = 45/120 = 0.38
Percentage of calories from fat out of total calories ⇒
(45/120) × 100 = 38%
Hence "The percentage of 45 out of 120 is 38% thus 38% calories from fat".
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6. Find the sum of whole number divisible by 3 and lies between 100 and 200.
Answer:
4950
Step-by-step explanation:
first find the smallest multiple of 3 thats >100, 3*33=99, so 3*34=102 is the smallest multiple of 3 >100.
next find the greatest multiple of 3 <200, 3*66=198 which is the greatest multiple of 3<200
34-66+1=number of terms=33. then find the average of the terms: 102+198/2=150. 150*33=4950. the answer should be 4950
Answer:
Step-by-step explanation:
The first number in the sequence = 102
The last number = 198
The number of terms =
L = a1 + (n-1)*d
198 = 102 + (n- 1)*3 Subtract 102
198 - 102 = (n - 1)* 3
96 = (n - 1)*3 divide by 3
32 = n - 1 add 1
33 = n
Sum = (a1 + L ) * n/2
sum = (102+198)*33/2
sum = 300 * 33/2
sum = 150 * 33
sum = 4950
Please solve its due tomorrow
Answer:
8. 16,648
9. 1,394
10. 3
11. 9,570
Step-by-step explanation:
8. Total means all together so you need to add all of the attendants together.
2118 + 3391 + 4785 + 6354 = 16,648
9. How many more signifies the need to use subtraction to get your answer so you need to subtract the number of attendants in 2011(3,391) from the number of attendants in 2012(4,785)
4,785 - 3,391 = 1,394
10. How many times more signifies the need to use division in order to get the answer since it is the opposite of multiplication. So, you need to divide the number of attendants in 2010(2,118) from the number of attendants in 2013(6,354)
6,354 / 2,118 = 3
11. Twice the attendance signifies the need to use multiplication to find your answer so you need to multiply the number of attendants in 2012(4,785) twice(2).
4,785 x 2 = 9,570
Hope this helped! <3
Question 13 (5 points)
Find the distance between (-8, 4) and (-8, -2).
6 units
2 units
10 units
8 units
Answer:
Step-by-step explanation:
Which number is irrational?
Answer:
√11 is the irrational number
Explanation:
Irrational numbers are which numbers that can't be expressed as p/q form that are irrational numbers. root 11 cant be expressed as p/q form so, this is an irrational number.
If m ABC=122 and m ABD=71 then m DBC =
Answer:
Angle DBC = 51
Step-by-step explanation:
Angle ABC = angle ABD + angle DBC
We are given that angle ABC = 122 and angle ABD = 71
So 122 = 71 + angle DBC
* Solve for angle DBC *
Subtract 71 from both sides
122 - 71 = 71 - 71 + angle DBC
51 = angle DBC
A savings account with $1,000 has no other
deposits or withdrawals made. The account earns
2.5% annual interest t years after the $1,000 was
deposited. The function f(t) = 1,000(1.025)* can
be used to represent the balance, in dollars, in
the savings account.
Which amount is closest to f(5), the balance, in
dollars, in the account at the end of 5 years?
A 5,125
B 5,000
C 1,362
D 1,131
E 1,064
Answer:
A = P (1 + i)^n where the principal P equals amount A after n periods
P = 1000 and i = .025 / yr
A1 = A (1.025) = 1025
A2 = A1 (1.025) = A (1.025)^2 etc
A5 = A (1.025)^5 = 1000 * (1.025)^5 = 1131 after 5 years
Noel can stack 4 blocks in 2 seconds. At this rate, how many blocks can he stack in one minute?
Answer:
120
Step-by-step explanation:
There are 60 seconds in one minute so you would 4 times 30 since Noel can STACK 4 BLOCKS per 2 seconds.
Please help meeeeeweeeeeeeeeeee
Tavon has a gift card for $65 that loses $3 for each 30-day period it is not used. He has another gift card for $55 that loses $2.50 for each 30-day period it is not
used
a. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal.
b. What will the value of each card be when they have equal value?
a. If x is the number of 30-day periods, then the equation can be used to find the number of 30-day periods until the values of the gift cards will be equal.
(Type an equation. Use integers or decimals for any numbers in the equation)
Answer:
a. 65 - 3 x = 55 - 2.5 x
ab. 20
b. 5
Step-by-step explanation:
The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equal value, will be $10.
What is a linear equation?The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Let x be the number of days and y be the value of the card.
Tavon has a gift card for $110 that loses $2.50 for each 30-day period it is not used. He has another gift card for $90 that loses $2 for each 30-day period it is not used. Then the equations will be
y = 110 - 2.5x ...1
y = 90 - 2x ...2
From equations 1 and 2, we have
110 - 2.5x = 90 - 2x
20 = 0.5x
x = 40
And the value of y will be
y = 110 - 2.5(40)
y = 110 - 100
y = $10
The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equal value, will be $10.
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What is the value of f(0)? -2 -1 0 1most segment goes from (2, negative 4) to (3, negative 4). What is the value of f(0)? -2 -1 0 1
Answer:
[tex]f(0)=-2[/tex]
Explanation:
When looking at the value of [tex]f[/tex] at a particular input, the value is defined by the height of a solid dot, given a solid dot is present, and the value is not defined by hollow dots.
When looking at the input 0, there is a hollow dot at a height of -1 and a solid dot at a height of -2. Therefore [tex]f(0)=-2[/tex]
Answer:
2
Step-by-step explanation:
What is the quotient of the following division problem?
58/8=
Answer:
7.25 or 7 ¼ or 56 R2
Step-by-step explanation:
Answer:
In Calculator, Quotient is 7.25
0 7
8 ⟌ 5 8
- 0
5 8
- 5 6
2
But when we do long division the quotient is 7 and remainder is 2.
Hope it helps!
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3 friends share 2 pizzas evenly. About how much pizza will each friend get?
Answer:
2/3
Step-by-step explanation:
Pick up one of the pizzas. Cut it into three equal amounts. Do the same with the other pizza. Each slice is called 1/3.
Each person gets 1/3 + 1/3 which is called 2/3.
The amount of pizza each friend will get, as expressed as a fraction is: 2/3.
What are Fractions?Fractions can be described as numerical quantities that are a part of a whole number but are not whole numbers.
There are 2 pizzas to be shared among 3 friends. Since 3 is greater than 2, the amount each will get will be a fraction.
Each friend will get: 2/3 pizzas.
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