Answers
Answer:
[tex]a=250[/tex]
[tex]b=10[/tex]
Step-by-step explanation:
[tex]a=\frac{5x^2}{2}=\frac{5(10)^2}{2}=\frac{5(100)}{2}=\frac{500}{2}=250[/tex]
[tex]b=\frac{2x^2(x-5)}{10x}=\frac{2(10)^2(10-5)}{10(10)}=\frac{2(100)(5)}{100}=2(5)=10[/tex]
a = 5x²/2
a = 5(10)²/2
a = 5 × 100/2
a = 250
.
.
.
b = (2x²(x-5))/10x
b = (2(10)²(10-5))/10 × 10
b = (200(5))/100
b = 10
.
.
.
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Related Questions
In a village there are 8 water tanks to collect rain water. On a particular day, x litres of rain water is collected per tank. If 100 litres of water was already there in one of the tanks, what is the total quantity of water in the tanks on that day?
Answers
Answer:
(8x + 100) litres
Step-by-step explanation:
According to the question,
Given, In a village there are 8 water tanks to collect rainwater. On a particular day, x litres of rainwater is collected per tank. If 100 litres of water was already there in one of the tanks.Therefore,
Number of water tanks = 8
Rainwater collected by each tank = x litres
∴ Rainwater collected by 8 tanks = 8x litres
But, 100 litres of water was already there in one of the tanks.
So, the amount of water in the tanks = (8x + 100) litresif x and 5x are supplementary angles, find them
Answers
Answer:345678098321
Step-by-step explanation: I think so lol
Answer:
x+5x=180( adj.suppl.ls)
6x=180
6x÷6=180÷6
x=30
Luis is building a new deck and needs to have a slab in of concrete poured.he knows the contractor charges an initial coast of $75 plus an additional $2.50 per square foot of concrete.which equation can be used to determine the coast (y),in dollars,to pour a concrete slab with an area of x square feet.
Answers
Answer:
[tex]y = 2.5x + 75[/tex]
Step-by-step explanation:
PLEASE HELP I WILL VOTE BRAINLIEST IF CORRECT
Graph the following system of equations and find the x-coordinate of the solution.
Choices:
x = -2
x = 3
x = 2
x = 0
Answers
x = 3
y = 8
(3, 8)
Hope this helps! :)
Brian says that ABCD is a right triangle. Is he correct? (Round your answer to the nearest whole number) Explain.
17 m
21.7 m
С
D 13.5 m
Answers
21.7²=17²+13.5²
21.7²=289+182.25
21.7²=471.25
21.7=√471.25
21.7=21.7
22(to the nearest whole number)
Answer: Yes, it is a right triangle
But only if you rounded everything to the nearest whole number.
Otherwise, it's a bit off (but fairly close).
==========================================================
Explanation:
If that was a right triangle, then a^2+b^2 = c^2 would be the case (pythagorean theorem). The a,b,c refers to the sides of the triangle. The 'c' is always the longest side, where 'a' and 'b' can be in any order you want.
We have
a = 13.5b = 17c = 21.7Which leads to
a^2+b^2 = c^2
(13.5)^2+(17)^2 = (21.7)^2
182.25 + 289 = 470.89
471.25 = 470.89
We don't get the same thing on both sides, so we don't have a right triangle.
However, your teacher mentions to round the results to the nearest whole number. The 471.25 on the left side becomes 471, while the 470.89 becomes 471.
So while the equation 471.25 = 470.89 is definitely false, both sides are close enough that they round to 471 = 471 which is true.
In other words, this isn't a right triangle but it's close enough to one. Based on this rounding criteria, Brian is correct.
I need help asap pls pls pls...
Answers
Answer:
c)
Step-by-step explanation:
please don't trust ;-;
Each year, roughly 10^6 computer programmers each make about $10^5. How much money is this all together?
Answers
Answer:
jawbhvgh
Step-by-step explanation:
QJAWNDBSVX
Find P (Sophomore|Boy) Hint: P(A and B) P(B) Classroom of Students Boys Girls Freshman 4 4 8 Sophomores 7 12 Junior 2 3 5 Senior 4 5 12 18 Reduce your fraction to lowest terms. Enter the number that belongs in the green box. Enter
Answers
Answer:
5/12
Step-by-step explanation:
Here, we want to select the probability that the selected student is a sophomore given that he is a boy
In this case;
P(B) = P(boy)
P(A) = P(sophomore)
What we know is that the probability for any section is simply the number of that section divided by the total number of students which is 12 + 18 = 30
From the table;
P(B) = 12/30
P(An B) = 5/30
So;
P(A|B) = 5/30 divided by 12/30
= 5/30 * 30/12 = 5/12
Surface area of a cylinder
Answers
Answer:
A=2πrh+2πr2
Step-by-step explanation:youre welcome
Step-by-step explanation:
πr^2+2πrh
(r= radius, h= height)
What is the simplified expression for -3(2x-y)+2y+2(x+y)
Answers:
8x+y
y-4x
7y-4x
-4x-y
Answers
Answer:
7y - 4x
Step-by-step explanation:
Given
- 3(2x - y) + 2y + 2(x + y) ← distribute parenthesis
= - 6x + 3y + 2y + 2x + 2y ← collect like terms
= 7y - 4x
Which statement shows the correct value for the exponential
expression 34?
O 4x 4x4=64
O 3x4=12
3x3x3x3=81
O 3x3x3 = 27
Answers
Answer:
B. 3 x 3 x 3 x 3 = 81
Step-by-step explanation:
exponential expression 3⁴
This means multiplying 3 four times
= 3 × 3 × 3 × 3
= 81
B. 3 x 3 x 3 x 3 = 81 is the answer
Similarly, if you have 5³
This means you'll multiply 5 three times
5³ = 5 × 5 × 5
= 125
And
3¹ =
3 one time
3¹ = 3
is How many oranges did
Sally eat last month? a statistical question
Answers
Answer:
25
Step-by-step explanation:
Lets say it's a 30 day month. Sally really likes oranges so she eats them a lot.
20 Points!!!
A ping pong ball is released from a height of 60 centimeters (cm) and bounces to a height that is 3/4 the previous height. What function estimates the height, H, in cm of the ping pong ball after x bounces?
Enter a number in each empty box to correctly complete the function.
H = ____ (____)^x
Answers
Multiply the starting height (60) by the height of each bounce (3/4) raised to the number of bounces (x)
H = (60)(3/4)^x
The answer to the given expression is:
H = 60(3/4)^x
What do we mean by exponents?A number is raised by another number which is called the power/exponent which implies that the number is multiplied by itself for that many number of times.
How do we solve for H?After every release, it bounces 3/4th of the previously released height.
After 1st bounce H = 60(3/4)
After 2nd bounce, it will be 3/4th of the previous H,
∴ H = 60(3/4)(3/4) = 60(3/4)^2
Similarly, after the 3rd bounce, it will be 3/4th of the previous H,
∴ H = 60(3/4)^2 * (3/4) = 60(3/4)^3
So it goes on like this. After x bounces,
H = 60(3/4)^x
Learn more about the Exponents at
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Please help me that is the volume???
Answers
Let us first find the hieght of the triangle:
= 16² = p² + 8²
= 256 = p² + 64
= 256 - 64 = p²
= √192 = p
= 13.85 = p
Area of equilateral trianglular prism:
= ⅓× l² × h
Here, l = length of side and h is height= ⅓ × 16² × 13.85
= 256 × 13.85 × ⅓
= 1181.86 cm³
= 1182 cm³ (approx)
Kara and Karl love steak, fried chicken, hamburgers, mashed potatoes, and french fries. They like green beans and peas. How many different meals including a meat, potatoes and a green vegetable can they make from these choices? 8 meals 16 meals a. C. b. 12 meals d. 24 meals
Answers
Answer:
steak, chicken, and hamburger are meats. 3 meats.
The French fries and mashed potatoes are potatoes. 2 Potatoes.
And Green beans and peas are green vegetables. 2 Vegetables.
I think we just do 3 x 2 x 2 = 12 Meals.
hope that helps bby<3
Can anyone help me with this ?
Answers
To solve this problem use the formula below. All you have to do is insert the respective points into the formula and it gives you the radical form.
I REALLY NEED HELP
Look at the following rules for two number patterns. Both patterns start with 40.
Pattern P: "Subtract 2"
Pattern Q: "Subtract 8"
Which statement is true about the corresponding terms in the two patterns?
Starting with 0, the difference between the corresponding terms in the two patterns decreases by 4.
Starting with 0, the difference between the corresponding terms in the two patterns increases by 6.
Excluding the first term, a term in Pattern P is always 6 greater than its corresponding term in Pattern Q.
Excluding the first term, a term in Pattern Q is always 8 greater than its corresponding term in Pattern P.
Answers
Answer:
Option CStep-by-step explanation:
Pattern P, the nth term formula:
Pₙ = 40 - 2nPattern Q, the nth term formula:
Qₙ = 40 - 8nThe difference is:
Pₙ - Qₙ = 40 - 2n - 40 + 8n ⇒ Pₙ - Qₙ = 6nIt shows the difference increase by 6 as the number of terms increase.
According the the difference of nth terms, the correct statement is:
Excluding the first term, a term in Pattern P is always 6 greater than its corresponding term in Pattern Q.Find the opposite of each polynomial.
Answers
Answer:
Step-by-step explanation:
The word "opposite" is indicated by the - sign out front. Mathematically, we multiply a -1 into the parenthesis which, not coincidentally, changes the signs of everything inside the parenthesis, making them "opposite". The opposite of this polynomial is
- a - b - c
5. Find CD.
9x-15=7x-1
I really need help with this one.
Answers
Answer:
CD = 48
Step-by-step explanation:
Find the value of x using the two equations
9x - 15 = 7x - 1
9(7) - 15 = 7(7) - 1
63 - 15 = 49 - 1
48 = 48
Answer: x = 7
Then get the result of both equations
CD = 48
The length of CD is 48 units.
What is Isosceles Triangle?Isosceles triangles are those triangles which has the length of two sides or angles are equal to each other.
Given triangle ABC is an isosceles triangle since the length of sides AB and BC are given to be equal.
BD is the altitude of the triangle from the vertex B.
We know that, altitude of an isosceles triangle from the non equal angle bisect the opposite side, which is base.
So, AC is bisected at D.
AD = CD
9x - 15 = 7x - 1
Solving,
9x - 7x = -1 + 15
2x = 14
x = 7
Length of CD = 7x - 1 = 49 - 1 = 48
Hence 48 units is the length of CD.
Learn more about Isosceles Triangles here :
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Write the equation of the line that passes through the points (-6,5) and (3,−5). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answers
Answer:
[tex]\displaystyle y-5=-\frac{10}{9}(x+6)[/tex]
Or:
[tex]\displaystyle y+5=-\frac{10}{9}(x-3)[/tex]
Step-by-step explanation:
We want to write the equation of a line that passes through the points (-6, 5) and (3, -5) in point-slope form.
Point-slope form is given by:
[tex]y-y_1=m(x-x_1)[/tex]
Thus, first, we need to find the slope. We can use the slope formula:
[tex]\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{(-5)-(5)}{(3)-(-6)}=\frac{-10}{9}=-\frac{10}{9}[/tex]
Next, we can use either of the two given points. I'll use (-6, 5). So, let (-6, 5) be (x₁, y₁). Substitute:
[tex]\displaystyle y-(5)=-\frac{10}{9}(x-(-6))[/tex]
Or, fully simplified:
[tex]\displaystyle y-5=\frac{-10}{9}(x+6)[/tex]
Using the other point, we will acquire:
[tex]\displaystyle y-(-5)=-\frac{10}{9}(x-(3))[/tex]
Or, simplified:
[tex]\displaystyle y+5=-\frac{10}{9}(x-3)[/tex]
Find the value of x.
15
х
12
Answers
Answer:
180
Step-by-step explanation:
Note: Considering X as multiplication and finding the value of multiplication
[tex]15*12\\=180[/tex]
Please help will mark brainliest
Answers
Answer:
4 th option
Step-by-step explanation:
Using synthetic division to find the quotient
- 2 | 1 - 4 + 5 - 2
↓ - 2 + 12 - 34
------------------------------
1 - 6 + 17 - 36 ← remainder
The quotient is x² - 6x + 17
Then
[tex]\frac{x^3-4x^2+5x-2}{x+2}[/tex] = x² - 6x + 17 - [tex]\frac{36}{x+2}[/tex]
Y=-4+b
I need a answer fast and thank you
Answers
If we solve for Y then answer is..
Y=b-4
If we solve for B then answer is..
b=Y+4
What expression is equal to COS B????
Answers
Answer:
A/C
Step-by-step explanation:
Since the sum of the angles in a triangle equals 180°, and angle C is 90°.
That means angles A and B add up to 90°, that is, they are complementary angles. Therefore the cosine of B equals the sine of A.
We saw on the last page that sin A was the opposite side over the hypotenuse, that is, a/c. Hence, cos B equals a/c.
Your welcome! :)
Find the measure of each numbered angle.
Answers
Answer:
Angle 1 - 148
Angle 2 - 32
Angle 3 - 73
Angle 4 - 148
Angle 5 - 105
Step-by-step explanation:
Angle 1 forms a line with angle 32 and equals 180, therefore Angel 1 = 180 - 32 = 148
Angle 2 has the same value as the opposing angle, 32
Angle 3 combined with 32 and 75 equals 180, therefore
Angle 3 = 180 - 32 - 75
Angle 3 = 73
Angle 4 is equal to angle 1
Angle 5 combined with 43 and Angle 2 (32) equals 180
Angle 5 = 180 - 43 - 32
Angle 5 = 105
A right triangle has a hypotenuse of 15. What are possible side lengths?
(No links )
Answers
Answer:
√200 and 5, √125 and 10
Step-by-step explanation:
Six kids and two adults are going to the circus. Kid's tickets are on sale for only half the price of adult tickets. The total cost is $48. How much is one kids ticket? -how much is one adult ticket
Answers
Answer:
One kids ticket is $4.80 and one adult ticket is $9.60
Step-by-step explanation:
Create a system of equations where k is the cost of a kids ticket and a is the cost of an adult ticket:
6k + 2a = 48
k = 1/2a
Solve by substitution by substituting the second equation into the first one:
6k + 2a = 48
6(1/2a) + 2a = 48
Simplify and solve for a:
3a + 2a = 48
5a = 48
a = 9.6
Find the cost of a kids ticket by dividing this by 2, since they are on sale for half the price of adult tickets.
9.6/2
= 4.8
One kids ticket is $4.80 and one adult ticket is $9.60
what is the correct answers
Answers
Answer:
its c
Step-by-step explanation:
HELP PLEASEEEEEEEEEEE
Answers
A rectangle has an area of 24 square meters. The width of the rectangle is 4 meters. What is the length of the rectangle? meters
Answers
Answer:
6 meters
Step-by-step explanation:
Use the area formula, A = lw, where l is the length and w is the width.
Plug in 24 as the area and 4 as the width, then solve for the length (l):
A = lw
24 = l(4)
Divide each side by 4:
6 = l
So, the length of the rectangle is 6 meters
Answer:
6 m
Step-by-step explanation:
Area = width x length
Area= 24m²
Width= 4m
A= wl
24= 4 x l
[tex]\frac{24}{4}[/tex] = l
6m = l
