Answer:
the answer is 4 units im pretty sure
Step-by-step explanation:
The height of the prism is 6 units.
The correct option is C.
What is a prism?A prism is a polyhedron in three dimensions with two identical ends.
To find the height of the prism, we need to use the formula for the volume of a prism, which is:
Volume = Base area x Height
Since the prism has two congruent hexagonal bases, we can find the base area by adding the areas of the two congruent isosceles trapezoids.
The area of an isosceles trapezoid is given by the formula:
Area = ((b1 + b2) / 2) x h
where b1 and b2 are the lengths of the two parallel bases, and h is the height of the trapezoid.
In this case, the two parallel bases have lengths of 5 and 8, and the height of each trapezoid is 3, so the area of one trapezoid is:
Area = ((5 + 8) / 2) x 3 = 19.5 square units
The base area of the prism is then:
Base area = 2 x 19.5 = 39 square units
We are given that the volume of the prism is 234 cubic units, so we can use the formula for the volume of a prism to find the height:
Volume = Base area x Height
234 = 39 x Height
Height = 6 units
Therefore, the height of the prism is 6 units.
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HELPPPPPPPPPPPPPPPPP PLEASE
find x and y. Please help me with my math
Answer: Read attachment.
Step-by-step explanation: Attached below is my work. Hope it helps!
Given that the expression “p dollars for every q items” describes a unit price, which statement must be true?
Which describes the graph of y= -(x + 6)² + 6?
O A. Maximum at (-6, 6)
OB. Maximum at (6, 6)
OC. Minimum at (-6, 6)
OD. Minimum at (6, 6)
Answer:
A
Step-by-step explanation:
Since x has a negative coefficient, the graph opens downwards meaning that it has a maximum.
The vertex formula is y = a(x - h)^2 + k so the coordinate must be (-6, 6).
What is the result of adding the system of equations? Equation 1: 2x + y = 4 Equation 2: 3x - y = 6 A) 5x = 10 B) x = 5 C) x = 10
An equation is formed of two equal expressions. The correct option is A, the sum will be equal to 5x = 10.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the two systems of equations Equation1: 2x+y=4 and Equation 2: 3x-y=6. Now if the two of the given equations are added the result will be,
2x + y + 3x - y = 4 + 6
5x = 10
Hence, the correct option is A, the sum will be equal to 5x = 10.
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I NEED HELP PLEASE OMGOGMOMOG
Answer
c
I'm not sure how to explain my bad
The frequency table shows the results asking people how many hours they spend online per week
The histogram is attached with the answer.
What is a Histogram ?It is a mathematical representation of data in a bar shaped graph , the range is user defined.
The histogram is drawn and the shape of the histogram is left skewed as the peak of the graph lies to the left of the centre.
The histogram is attached with the answer.
The complete question is
the frequency table shows the results of a survey that asked people how many hours they spend working in the yard per month. display the data in a histogram. describe the shape of the distribution
The data is attached with the answer.
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In a family the ages of children arranged from youngest to oldest are 2,6,y,14 and z if the square of ages is in an a.p what is the ratio of z and y
Answer:
y=10
z=18
Step-by-step explanation:
2,6,y,14,z
there are 4 years different between the childrens.
2-6-10-14-18
can someone please help mee (20 points and i will give brainliest!!!)
Answer:
Step-by-step explanation:
What is the area of triangle ABC?
Answer:
3 square units
Step-by-step explanation:
Use BC as the base = 2
Use y -axis to C (or B) as the height = 3
Area of triangle = 1/2 * base * height = 1/2 * 2 * 3 = 3 units^2
1kg of sugar costs ₹25.30 . Find the cost of 13.5kg of sugar
Answer:
₹ 341.55
Step-by-step explanation:
Cost of 1 kg sugar = ₹ 25.30
Cost of 13.5 kg sugar = 25.30 × 13.5 = 341.55
Hence, the cost of 13.5 kg is ₹ 341.55
If you are writing, write statements too as in my school they give extra marks.
Thankyou and have a great day ahead.
Answer:341.55
Step-by-step explanation:
If one KG of sugar does cost ₹25.3 and if you want to know how much 13.5 kg costs you just would have to multiply/times ₹25.3 by 13.5 and what is 25.3 x 13.5. ₹341.55 and that's your answer!
18.
(05.06 LC)
A librarian measured the number of young adult books in a library. The number of books in the library as a function of time (in years since 2008) is shown in the scatterplot. Choose the linear function that best describes the scatterplot relating the number of books in the library, y, to time, x. (1 point)
y = 8 − 10x
y = 8 + 10x
y = 10 − 8x
y = 10 + 8x
Answer:
y=8+10x that then answer I guess
* GEOMETRY
please help me show the work for 9, 10, and 11!!
9) Diagonals of a parallelogram bisect each other, so KN=NM. Thus, KM=13.5+13.5=27 cm
10) Opposite sides of a parallelogram are congruent, so LM=KJ=17 cm
11) Based on Question 9, MN=13.5 cm
Estimate
12.4 × 18
—————-
0.012
Answer: 12.4 x 18
-------------- = 18600
0.012
How many solutions does the system have?
x + y = 5
x + y = 6
Onone
O one
O two
O infinite
Answer:
none
Step-by-step explanation:
please mark me as brainlest
Find the nature of the graph of the function y = -9x3 + 5x2 - 2x using end behavior.
The graph goes upwards on the left side and downwards on the right side, so the correct option is the first one.
How is the end behavior of the function?
We have the function:
[tex]y = -9*x^3 + 5*x^2 -2x[/tex]
This is a cubic polynomial with a negative leading coefficient.
So, when x takes large negative values, because the leading coefficient is negative, y will take large positive values.
And when x takes large positive values, because the leading coefficient is negative, y will take large negative values.
So the nature is:
The graph goes upwards on the left side and downwards on the right side. The correct option is the first one.
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Quick
Check
Match each power of a power expression with its simplified expression.
In a school, the number of girls is 70 more than boys. the total number of students is 1280. find the number of girls and boys simple equations
Answer:
Boys = 605
Girls = 675
Step-by-step explanation:
Let x be the number of boys in school.
So, girls = (x+70)
Total no. of students = 1280
x + x + 70 = 1280
2x + 70 = 1280
2x = 1280 - 70
2x = 1210
x = 1210/2
x = 605
Hence, no. of boys = 605
no. of girls = 605 + 70 = 675
Venn diagram ( attached image )
Assessing the given Venn diagram and the data related to it, we can answer the required question:
Q1. How many people were surveyed = 86.
Q2. What is the probability that a customer chosen at random:
a) takes salt P(S) = 46/85.
b) takes both salt and vinegar P(S ∩ V) = 13/85.
c) takes salt or vinegar or both P(S ∪ V) = 66/85.
The number of people who take salt chips n(S) = 46.
The number of people who take vinegar chips n(V) = 33.
The number of people who takes both n(S ∩ V) = 13.
The number of people who take neither n((S ∪ V)') = 19.
Therefore, the total number of people surveyed n(U) = n(S) + n(V) - n(S ∩ V) + n((S ∪ V)') = 46 + 33 - 13 + 19 = 85.
The number of people who takes salt or vinegar or both n(S ∪ V) = n(U) - n((S ∪ V)') = 85 - 19 = 66.
The probability that a customer chosen at random takes salt P(S) = n(S)/n(U) = 46/85.
The probability that a customer chosen at random takes both salt and vinegar P(S ∩ V) = n(S ∩ V)/n(U) = 13/85.
The probability that a customer chosen at random takes salt or vinegar or both P(S ∪ V) = n(S ∪ V)/n(U) = 66/85.
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30 point!!!! Help me fast!!!PLS!!Question is attached!!!
Answer:
This is an extremely easy question bro!
1. 3²
2. 3 (Base) ² (Exponent)
3. Expanded form: (9 * 1)
Standard form: 9
Step-by-step explanation:
Well, there's none.
Please mark me as Brainliest! Thanks! :)Four students are trying to determine what number must replace the question (x^2)^?=x^4*x^8 in order to make it true
Joe said the answer is 6. Sam said it is impossible to answer.
Peter said the answer is 32. Alex said the answer is 16.
Who is correct? In words explain why.
Joe is correct as the unknown number is 6.
What are exponents?The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.
Given :
[tex](x^2)^?=x^4\times x^8[/tex]
Let the question mark exponent outside the bracket be y, which needs to be determined
[tex](x^2)^y=x^4\times x^8[/tex]
Simplify the equation by applying exponent rules to either side of the equation:
Apply the rule [tex](a^b)^c = a^{b \times c}[/tex]
[tex](x^2)^y=x^4\times x^8[/tex]
[tex](x)^{2y}=x^4\times x^8[/tex]
Now apply [tex]a^b \times a^c = a^{b+c}[/tex]
[tex](x)^{2y}=x^{4+8}\\\\(x)^{2y}=x^{12}[/tex]
So, the base is the same the exponent will be the same also,
2y = 12
y = 6
Hence, Joe is correct as the unknown number is 6.
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775 tickets were sold for a game for a total of $1,587.50. If adult tickets sold for $2.50 and childrens tickets sold for $1.50,how many of each kind of tickets were sold?
350 tickets sold of children and 425 tickets sold for adult.
What is algebra?Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.
Let x be the number of adult tickets that were sold and y be the number of children's tickets that were sold.
Total 775 tickets were sold for the game.
So,
x + y = 775
If adults tickets sold for 2.50 and children's tickets sold for 1.50 and all the tickets were sold for a total of 1587.5, it means that
2.5x + 1.5y = 1587.5
put x = 775 - y
2.5(775 - y) + 1.5y = 1587.5
1937.5 - 2.5y + 1.5y = 1587.5
-y = 1587.5- 1937.5
y = 350
and, x = 775 - y = 775 - 350
x = 425
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What is the quotient of 0.8449 ÷ 0.71?
Answer:
1.19
Step-by-step explanation:
1) Shift the decimals of both 0.8449 and 0.71 to the right by 2 decimal places. (This is needed to convert 0.71 to 71, since long division must divide by a whole number.)
84.49 ÷ 71
2) Use the algorithm method.
1 . 1 9
7 1 | 8 4 . 4 9
7 1 .
1 3 . 4
7 . 1
6 . 3 9
6 . 3 9
3) Therefore, 0.8449 ÷ 0.71 = 1.19.
1.19
Work out (6 × 10²) ÷ (3 × 105)
Give your answer in standard form.
Answer: 40/21
Step-by-step explanation:
[tex]3 \times 105=315\\\\6 \times 10^{2}=600\\\\\implies \frac{6 \times 10^{2}}{3 \times 105}=\frac{600}{305}=\boxed{\frac{40}{21}}[/tex]
evaluate the expression below when x is 4
3x^2 +5 =
Answer:
[tex]\fbox {53}[/tex]
Step-by-step explanation:
⇒ 3x² + 5
Substitute x = 4 :
⇒ 3(4)² + 5
⇒ 3(16) + 5
⇒ 48 + 5
⇒ 53
Which expression is equivalent to?
The expression obtained is 2g³-5g² +6 , Option C is the correct answer.
What is an Expression ?An expression is a mathematical statement that consists of constant , variable and mathematical operators.
The expression given is
[tex]\rm \dfrac{(5g^4 +5g^3 -17g^2 +6g) -(3g^4 +6g^3-7g^2 -12)}{g+2}[/tex]
On subtracting the numerator
2g⁴-g³-10g²+6g+12
Now dividing the numerator by denominator
The expression obtained is 2g³-5g² +6
Therefore Option C is the correct answer.
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It takes 6 hours for 2 people to build a swing set. Can you use the proportion 2 - 6 = 5 - h to determine the number of hours h it will take 5 people to build the swing set? Explain.
The number of hours, h it will take 5 people to build the swing set is; 2.4 hours
What is the number of hours it will take 5 people to build the swing set?From the task content, it follows that it took 6 hours for 2 people to build the swing set, hence, it follows that it'd take 12 hours for 1 person to build the swing.
However, when the work is divided between 5 People, the time taken is therefore; 12/5 = 2.4hours.
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What is sin and cos
Sin and cos are trigonometry functions used to find measurements in a right triangle.
[tex]\displaystyle sin=\frac{\text{opposite side}}{hypotenuse}[/tex]
[tex]\displaystyle cos=\frac{\text{adjacent side}}{hypotenuse}[/tex]
Use the formula to solve the equation x^2 + 9x + 8 = 0.
Answer:
[tex]x=-8, -1[/tex]
Step-by-step explanation:
Given the equation [tex]x^{2} +9x+8=0\\[/tex],
By the quadratic formula,
[tex]x=\frac{-b+-\sqrt{b^{2}-4ac } }{2a}[/tex],
[tex]x=\frac{-(9)+-\sqrt{(9)^{2}-4(1)(8) } }{2(1)}=\frac{-9+-\sqrt{49 } }{2}=\frac{-9+-7 }{2}[/tex]
We have two different solutions for x where [tex]x=\frac{-9-7 }{2}[/tex] and [tex]x=\frac{-9+7 }{2}[/tex]
So, x = [tex]-16/2=-8[/tex] and [tex]x=-2/2=-1[/tex]
Therefore, the solutions to this quadratic equation is x = -8, -1, by the quadratic formula.
In order to create a system of equations that has the same solution as the system
x+y=4
2x+y = 7
complete three steps.
1
Step 1: Multiply the equation x + y = 4 by _[blank A]__.
Step 2: Add the equations 2x + y = 7 and _[blank B]_.
Step 3: Write the new system of equations as _[blank C]__.
Match each blank with the system or statement that correctly fills in that blank.
#Step1
Multiply by -2It will result -2x-2y=-8
#2
-2x-2y=-8#3
add
-y=-1y=1Find x
x+1=4x=3