Answer:
108cm³
Step-by-step explanation:
Seeing that the base is a square, we first have to calculate the area of the base. This is equal to 9x9, in other words 81cm squared. Now, we multiply the base area to the vertical height divided by 3, which becomes 81x(4/3), which is then 108cm³.
:))))))))))
solve the system of equations y=x-7 y=x^2-9x+18
9514 1404 393
Answer:
(x, y) = (5, -2)
Step-by-step explanation:
Equating expressions for y, we have ...
x^2 -9x +18 = x -7
x^2 -10x +25 = 0 . . . . . add 7-x to both sides
(x -5)^2 = 0 . . . . . . . . factor
The value of x that makes the factor(s) zero is x=5. The corresponding value of y is ...
y = x -7 = 5 -7 = -2
The solution is (x, y) = (5, -2).
6 (b - 83) =10
Answer by steps?
Answer:
b = 84 2/3.
Step-by-step explanation:
6 (b - 83) =10
6b - 6*83 = 10
6b - 498 = 10
6b = 508
b = 508/6
b = 84 2/3
[tex]\longrightarrow{\green{84.666}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]6 \: (b - 83) = 10 \\ ➡ \: 6 \: b - 498 = 10 \\ ➡ \: 6 \: b = 1 0 + 498 \\ ➡ \: 6 \: b = 508 \\ ➡ \: b = \frac{508}{6} \\ ➡ \: b = 84.666 [/tex]
[tex]\boxed{To\:verify:}[/tex]
[tex]6 \:( b -83) = 10 \\ ➝ \: 6 \: (84.666 - 83) = 1 \\ ➝ \: 6 \times 1.666 = 10 \\ ➝ \: 9.996 = 10 \\ ➝ \:10 \: (round ing \: \: to \: \: closest \: \: whole \: \: number) = 10 \\ ➝ \: L. H.S.=R. H. S[/tex]
Hence verified.
[tex]\pink{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]
What is the solution of the equation, n + 12 = 12?
n = ______
if two lines are parallel and one has a slope of 1/6, what is the slope of the other line?
Let U be the set of all books, N the set of all novels, and H be the set of all hardcover books. Describe, in words, the following sets:
Given:
U be the set of all books, N the set of all novels, and H be the set of all hardcover books.
To find:
The description for the sets [tex]N\cap H[/tex] and [tex]H'[/tex] in words.
Solution:
We have,
U = The set of all books
N = The set of all novels
H = The set of all hardcover books.
We know that [tex]N\cap H[/tex] means common elements of set N and set H.
Therefore, [tex]N\cap H[/tex] is set of all books that are both novels and hardcover books.
We know that [tex]H'[/tex] is the set of elements of universal set except the elements of set H.
Therefore, [tex]H'[/tex] is the set of all books that are not hardcover books.
What is the y-intercept of 3x – 4y = 24? Write your answer as a single number.
Answer:
-6
Step-by-step explanation:
y-intercept of 3x – 4y = 24
=> x=0
3(0) -4y=24
-4y=24
y = 24/(-4) = -6
the point is (0, -6)
Evaluate:
2n=1(3n + 2) = [?]
Answer:
n = -2
Step-by-step explanation:
2n = 3n + 2
-n = 2
n = -2
I need help badly please with number 2 ...help me .. please no links or I will report you
9514 1404 393
Answer:
$62.74
Step-by-step explanation:
The annuity formula can be used to find the payment needed. Fill in the known values and solve for the unknown.
The future balance due to a series of payments is given by ...
A = P(n/r)((1 +r/n)^(nt) -1)
where A is the account balance P is the payment made each period, n is the number of periods per year, r is the annual interest rate, and t is the number of years.
You have A = $20,000, r = 0.041, n = 12, t = 18 and you want to find P
P = A(r/n)/((1 +r/n)^(nt) -1)
P = $20,000(0.041/12)/((1 +0.041/12)^(12·18) -1) ≈ $62.74
A monthly payment of $62.74 is required.
Need help with it math
Answer:
oh itsA
Step-by-step explanation:
i did 1 plus 24
1. supplementary
2. complementary
3. 45
4. 8
5. 67
6. 135
7. 98
8. 157
9. x= 10
10. x= 6
11. x= 30
12. x=14
exact value of cos 60° x sin 30°
Answer:
the exact value is 1/4
Step-by-step explanation:
Mark as brainllest if helps!!!
Answer:
0.25
Step-by-step explanation:
cos 60° = 0.5
sin 30° = 0.5
cos 60° x sin 30° = 0.5 x 0.5 = 0.25
Which domain would make the list of ordered pairs a function? {(-2, 5), (3, -1), (_, 4), (_, -9), (5, 6)}
Hope this help!!!
Have a nice day!!!
The required domain would make the list of the ordered pairs are-4 and 5.
Given that,
Which domain would make the list of ordered pairs a function, {(-2, 5), (3, -1), (_, 4), (_, -9), (5, 6)} is to be determined.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
The domain of the function follows the pattern of increasing the number by unit with the alternate sign change,
So the domain of function after 3 is given as -4 and 5.
Thus, the required domain would make the list of the ordered pairs are -4 and 5.
learn more about function here:
brainly.com/question/21145944
#SPJ5
List 2 different ways to name angle 2 shown below.
The scores and their final grade for a statistics student are given. What is the student’s weighted mean score?
Homework
Quiz
Quiz
Project
Final Exam
Score
86
81
96
99
89
Percent of final grade
20
15
15
25
25
Answer:
a) final exam: 90.2 B b) percent of final grade: 20 F
Step-by-step explanation:
calculator: a)86+81+96+99+89=451/5=90.2
b) 20+15+15+25+25=100/5=20
The weighted mean of a distribution is the sum of the product of the data elements of the distribution by the proportion of each element.
The weighted mean score of the students is 90.75
To calculate the weighted mean score, we simply multiply the score of each student by the percentage grade.
So, we have:
[tex]Mean = 86 \times 20\% + 81 \times 15\% + 96 \times 15\% + 99 \times 25\% + 89 \times 25\%[/tex]
This gives:
[tex]Mean = 17.20 + 12.15 + 14.40 + 24.75 + 22.25[/tex]
[tex]Mean = 90.75[/tex]
Hence, the weighted mean score of the students is 90.75
Read more about weighted mean at:
https://brainly.com/question/15904675
If you worked for the local CVS for $9.00 an hour and this week you worked 40 hours at regular time, and 5 hours of overtime at a rate of 1.5 how much money would you earn?
Answer:
1800
Step-by-step explanation:
First, you multiply 9 times 40 which is 360. So then since he worked for 5 more hours you multiply 360*5 which will give you 1800. :D
i need help with this?
i’m so confused
Answer:
See below
Step-by-step explanation:
In #4, the angles are vertical because the angles are congruent to each other. Therefore, you would set up the equation x+8=120 where x=112.
In #5, the angles are complementary because their sum is 90°. Therefore, you would set up the equation 43+x+3=90 where x=44.
In #6, the angles are supplementary because their sum is 180°. Therefore, you would set up the equation 76+2x+4=180 where x=50.
In the figure, ∆BAT ≅ ∆CAT. Which statement is true by CPCTC?
Answer:
BT=CT the first one because BAT=CAT and bc cut the similar vector between these two triangle
You have one each of $0.05, $0.10, $0.25, $1.00 and $2.00 coins in your wallet. How many different sums of money could you form by reaching into your wallet and pulling out some coins?
Answer:
The correct answer is - 26 sums for pulling few coins.
Step-by-step explanation:
Given:
coins in the wallet = 5 ($0.05, $0.10, $0.25, $1.00 and $2.00)
Different sums of money = ?
Formula: Different combination of items can be calculated with the help of a formula of combination that is -
nCr = n! / ((n – r)! r!)
where, n = total number of items
r = number of item in a set
solution:
In this question number of set is not given only few mention so the sets could be 2 coins, 3 coins, 4 coins and 5 coins.
a. for set of 2 coins
= 5! / ((5 – 2)! 2!)
= 20/2
= 10 combination of sums
b. for the set of 3 coins
= 5! / ((5 – 3)! 3!)
= 10
C. for 4
= 5! / ((5 – 4)! !)
= 5
d. for 5 coins
only 1 sum
thus, the total types of different sums = 10+10+5+1
= 26.
The coordinates of the endpoints of BC are B(5,1) and (-3,-2). Under the
transformation R90, the image of BC is B'C". State the coordinates of points B
and C.
Given:
The coordinates of the endpoints of segment BC are B(5,1) and (-3,-2).
Under the transformation [tex]R_{90^\circ}[/tex] the image of [tex]\overline{BC}[/tex] is [tex]\overline{B'C'}[/tex].
To find:
The coordinates of points B' and C'.
Solution:
We know that transformation [tex]R_{90^\circ}[/tex] means 90 degrees counterclockwise rotation about the origin.
If a figure is rotated 90 degrees counterclockwise rotation about the origin, then
[tex](x,y)\to (-y,x)[/tex]
Using this rule, we get
[tex]B(5,1)\to B'(-1,5)[/tex]
Similarly,
[tex]C(-3,-2)\to C'(-(-2),-3)[/tex]
[tex]C(-3,-2)\to C'(2,-3)[/tex]
Therefore, the coordinates of required points are B'(-1,5) and C'(2,-3).
What is the surface area of the rectangular prism shown below?
A: 159
B: 294
C: 318
D: 378
(All squared)
10
1
board/home
Solving Linear Equations. Tutorial Level
Four times the sum “n plus 10" is 34. What is the
value of n?
Multiply (n + 10) by 4.
4(x + 10) = 34
ESSICA
2
n+
2
= 34
DONE
00
P750
Answer:
-1.5 or -1 1/2
Step-by-step explanation:
I can only guess what is actually asked for. a lot of things went wrong when copying this problem description in here.
the basic question I understand is to solve the equation of
4(n + 10) = 34
=>
n + 10 = 34/4 = 8.5 or 8 1/2
n = 8.5 - 10 = -1.5 or -1 1/2
what's the formula of finding an area of a room?
Answer:
For a square or rectangular room you will need the length and width
Then you multiply I.e length x width gives Area
bye :-)
What is the length of the hypotenuse of the triangle below?
45°
h
5V2
45°
90°
52
The length of the hypotenuse of the triangle whose other two sides are of the length 5√2 units is given by: Option B: 10 units.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
For this case, consider the figure attached below.
Then, we are given the facts that:
Triangle ABC is a right angled triangle with right angle at vertex BThe lengths of non-hypotenuse sides AB and BC are 5√2 unitsThe length of the hypotenuse AC, denoted by h is to be found.Using the Pythagoras theorem, we get:
[tex]|AC|^2 = |AB|^2 + |BC|^2\\\\h^2 = (5\sqrt{2})^2 + (5\sqrt{2})^2 \\\\h^2 = 2(5\sqrt{2}))^2[/tex]
Taking root, we get:
[tex]h = \sqrt{2 (5\sqrt{2})^2}[/tex] (only positive root since h is denoting length, which is a non-negative quantity).
Thus, we get:
[tex]h = \sqrt{2 (5\sqrt{2})^2} = \sqrt{(5\sqrt{2})^2} \times \sqrt{2} = (5\sqrt{2}) \times \sqrt{2} = 5 \times (\sqrt{2})^2 = 5 \times 2 \\\\h= 10 \: \rm units[/tex]
(square cancelled the square root).
Thus, the length of the hypotenuse of the triangle whose other two sides are of the length 5√2 units is given by: Option B: 10 units.
Learn more about Pythagoras theorem here:
https://brainly.com/question/12105522
Answer:
10 units.
Step-by-step explanation:
just took the quiz
What is the scale factor from ∆ABC to ∆DEF?
Answer:
D
Step-by-step explanation:
6*8 = 48
4*8 = 32
77 out of 100 people Prefer sunny days what percentage of people prefer sunny days
Answer:
77% prefer sunny days because 77/100 is equivalent to 77%
If 90 people were at a game and one-sixth bought programs for $1.50 each,
how much did they spend on programs all together?
Answer:
I'm pretty sure they spent $22.50
Step-by-step explanation:
do (1÷6)×(90) then multiply 15 and 1.50
Steve Ballmer, the current CEO of Microsoft, used to be the manager of his college football team. Among his duties, he had to be sure the players were hydrated. When nearby construction forced a water shut off, Steve went to the Star Market to purchase bottles of water. He needed a total of 80 liters of water. Star Market sold water in two liter bottles and in half liter bottles. What possible combinations of the small and large bottles might he purchase in order to bring 80 liters to the football team?
a. Write an equation that models the possible combinations of half liter bottles and two liter bottles that would total 80 liters. (Be sure to define the variables.)
b. What is the x-intercept and what does it represent?
c. What is the y-intercept and what does it represent?
9514 1404 393
Answer:
a. x + 4y = 160
b. 160
c. 40
Step-by-step explanation:
a. We can define the variables as ...
x = number of 1/2-liter bottles
y = number of 2-liter bottles
For the total number of liters to be 80, we require
1/2x + 2y = 80
We can multiply this by 2 to eliminate the fraction.
x + 4y = 160
__
b. The x-intercept is 160. It is the number of 1/2-liter bottles required when no 2-liter bottles are used.
__
c. The y-intercept is 40. It is the number of 2-liter bottles required when no 1/2-liter bottles are used.
Which value is equal to 1/2 ?Select all that apply.
Please help fast fast !! Will give brainliest
Answer:
The Answer to your problem is A i'm pretty sure mark me brainliest plss and a thanks heart !!
Explain how u got the answer!
Answer: 525
Step-by-step explanation:
1000 dogs in 2013 and 4500 dogs in 2016
15 percent in animal shelters
(4500-1000)x0.15 = 525
The circumference of a circle is 47 in. Find its diameter, in inches.
[tex]{ \bf{ \underbrace{Given :}}}[/tex]
Circumference of the circle = 47 inch.
[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]
The diameter of the circle.
[tex]{ \bf{ \underbrace{Solution :}}}[/tex]
[tex]\sf\orange{The\:diameter\:of\:the\:circle\:is\:15\:inch.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\blue{Step-by-step\:explanation}}{\blue{:}}}}}[/tex]
We know that,
[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:2πr }[/tex]
[tex]\longrightarrow{\blue{}}[/tex] 47 in = 2 π [tex]r[/tex]
[tex]\longrightarrow{\blue{}}[/tex] [tex]r[/tex] = [tex]\frac{47 \times 7}{2 \times 22}[/tex] in
[tex]\longrightarrow{\blue{}}[/tex] [tex]r[/tex] = [tex]\frac{329}{44}[/tex] in
[tex]\longrightarrow{\blue{}}[/tex] [tex]r[/tex] = 7.477 in
Now,
[tex]\sf\pink{Diameter\: of \:the \:circle\: =\: 2 \:r }[/tex]
= 2 x 7.477 in
= 14.954 in
= 15 in ( round to nearest whole number )
Therefore, the diameter of the circle is 15 inch.
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]
The diameter of the circle is approximately 14.97 inches.
We have,
To find the diameter of a circle given its circumference, we can use the formula:
Circumference = π * Diameter
Given the circumference of the circle is 47 inches, we can rearrange the formula to solve for the diameter:
Diameter = Circumference / π
Substituting the given circumference into the formula:
Diameter = 47 / π
Calculating the value:
Diameter ≈ 14.97 inches
Therefore,
The diameter of the circle is approximately 14.97 inches.
Learn more about Circle here:
https://brainly.com/question/11833983
#SPJ6
Please help me with this (work out 10% of 13kg)
Answer:
1.3kg
Step-by-step explanation:
Answer:
its 1.3kg
Step-by-step explanation:
to work out 10% of anything just divide it by 10.
e.g 13kg÷10=1.3kg
