Answer:
[tex]\displaystyle b_2=\frac{2A}{h}-b_1[/tex]
Step-by-step explanation:
Equation Solving
Given the formula:
[tex]\displaystyle A=\frac{1}{2}h(b_1+b_2)[/tex]
It's required to solve it for b2.
First, we eliminate denominators by multiplying by 2:
[tex]\displaystyle 2A=h(b_1+b_2)[/tex]
Divide by h:
[tex]\displaystyle \frac{2A}{h}=b_1+b_2[/tex]
Subtract b1:
[tex]\displaystyle \frac{2A}{h}-b_1=b_2[/tex]
Write the new formula:
[tex]\boxed{\displaystyle b_2=\frac{2A}{h}-b_1}[/tex]
Andre had lots of Halloween candy. He ate the same amount of candy each day. After 10 days he had 115 pieces. After 18 days he had 43 pieces. How many will he have after 22 days?
9514 1404 393
Answer:
7 pieces
Step-by-step explanation:
In the 8 days between day 10 and day 18, Andre's candy decreased by 115-43 = 72 pieces. In the next 4 days (half the time of that decrease), we expect it to decrease by half that amount, so 72/2 = 36 pieces.
After 22 days, the amount remaining will be 43 -36 = 7 pieces.
бу (2+1) + 1y=
I need help
Answer:
19y
Step-by-step explanation:
hope this helps! have a great day/night :)
Answer:
19y
Step-by-step explanation:
6y (2+1) + 1y
6y (3) + 1y
18y + 1y
19y
Work out the surface area and give your answer in terms of pi. Not sure of the steps, assistance appreciated.
Answer:
138π m²
Step-by-step explanation:
The following data were obtained from the question:
Diameter (d) = 6 m
Height (h) = 20 m
Surface Area (SA) =?
Next, we shall determine the radius. This can be obtained as follow:
Diameter (d) = 6 m
Radius (r) =?
r = d/2
r = 6/2
r = 3 m
Finally, we shall determine the surface area of the cylinder. This can be obtained as follow:
Radius (r) = 3 m
Height (h) = 20 m
Surface Area (SA) =?
SA = 2πrh + 2πr²
SA = 2πr (h + r)
SA = 2 × π × 3 (20 + 3)
SA = 2 × π × 3 × 23
SA = 138π m²
Thus, the surface area is 138π m².
I SUCK AT MTH PLS HELP 20 POINTS!!!
I'm stuck on the one with graphs...
which ones are equalivilent to 2.5
10/-4
10/4
-10/-4
-5/-2
-5/2
5/2
Answer:
10/4, -10/-4, -5/-2, and 5/2
Step-by-step explanation:
These are equivalent.
What’s the answer of 7 1/2 divided by 3/4
Answer:
the answer is 10
Step-by-step explanation:
7 1/2 x 4/3=10
Answer:
5.625
Step-by-step explanation:
15 POINTS IF YOU HELP ME!!!
2. The table shows a person saving money at a constant rate. Weeks 2 4 6 8 Total Savings ($) 70 140 210 280 How much will this person save in 77 days? Show your work. A $315 C $385 B $350 D $420
Answer:
it is 385$ because if you divide 70 by 2 you get 35 which is your constant rate so then you divide 77 by 7 to get the number of weeks(11) so then you multiply 11x35 to get the answer of 385
Step-by-step explanation:
70 divided by 2 = 35
77 divided by 7 = 11
35 times 7 = 385
Answer:
C. 385
Step-by-step explanation:
2/70 first you find out the rate by dividing both top and bottom by 2 and you get
1/35 that means every week he is saving $35
77 days = 11 weeks
so you do 11 * 1 = 11 and
11*35 which gets you
385
hope this helps, please make brainliest
A baby elephant weighs 200 pounds at birth. It gains 3 pounds every day. Write an equation that represents this situation.
Answer:
y=200+3x
Step-by-step explanation:
I hope that this helps you
which round to ten 9.943, 9.501, 9.234, 9.612
Answer:
9.943, 9612, and 9501
Step-by-step explanation:
anything 5 and above u round higher anything 4 and below round down
A gardener spread 6 3/4 bags of mulch evenly over her 3 equal-sized vegetable beds. How
much mulch did she put on each vegetable bed?
Answer:
2 1/4 and ignore this ima write random stuff sksnsjwjdnd
The line passing through the points (5,4) and (-2,-3).
Answer:
linear equation
Step-by-step explanation:
straight line form in the graph infinitely
I need help please.
Answer:
Picture is blurry
Step-by-step explanation:
Answer:
C. The ranges of g(x) and f(x) are the same, and their domains are also same
Step-by-step explanation:
Y=-16x^2+9x+4.
Is the function linear or nonlinear?
Pls help I really need a good grade on this
Answer:
[tex]y=78[/tex]
Step-by-step explanation:
[tex]\frac{y}{13}-2=4[/tex]
[tex]\frac{y}{13}-2+2=4+2[/tex] (Add [tex]2[/tex] to both sides to isolate [tex]y[/tex])
[tex]\frac{y}{13}=6[/tex] (Simplify)
[tex]\frac{y}{13}*13=6*13[/tex] (Multiply both sides of the equation by [tex]13[/tex] to get rid of the denominator)
[tex]y=78[/tex] (Simplify)
Hope this helps!
Emily cuts two circles from a sheet of colored paper measuring 8" x 12". One circle
had a radius of 3 inches and the other had a diameter of 5 inches. How many square
inches of paper are left over? Is it possible to cut another circle with a 3 inch radius from
the paper? If the 3 inch circle fits what is the largest circle (What is its radius) you can
draw that will still fit on your paper.
Answer:
a. 48.1 square inches
b. yes
c. 2.51 in
Step-by-step explanation:
a. How many square inches of paper are left over?
To know this, we need to calculate the area of the sheet of colored paper and then subtract the are of the circle from it.
So, A = area of colored paper = 8" x 12" = 96 in²
A'= Area of 3 inch radius circle = πr²
= π(3)²
= 9π in²
A" = Area of 5 inch diameter circle = πd²/4
= π(5)²/4
= 25π/4 in²
= 6.25π in²
A₀ = area of circles = 9π in² + 6.25π in²
= 15.25π in²
= 47.91 in²
So, there are left A₁ = A - A₀
= 96 in² - 47.91 in²
= 48.09 in²
≅ 48.1 in²
So there are 48.1 square inches left over.
b. Is it possible to cut another circle with a 3 inch radius from the paper?
To know this, we calculate the area of a 3 inch radius paper and see if it is less or more than the remaining area of paper. If it is less, it can be cut.
So, A₂ = Area of 3 inch radius circle = πr²
= π(3)²
= 9π in²
= 28.3 in²
Since A₂ = 28.3 in² < A₁ = 48.1 in² (the rest of the colored paper area), it can be cut. So the answer is yes, another circle with a 3 inch radius can be cut from the paper.
c. If the 3 inch circle fits what is the largest circle (What is its radius) you can draw that will still fit on your paper.
We find the area of the remaining colored paper by subtracting the area of the 3 inch circle from the remaining area. So.
A₃ = A₁ - A₂
= 48.1 in² - 28.3 in²
= 19.8 in²
This is the area of the remaining colored paper. We then find the radius, r of the circle with area A₃ = 19.8 in² that would fit into the area.
So, A₃ = πr²
r = √(A₃/π)
= √(19.8 in²/π)
= √(6.302 in²)
= 2.51 in
What is one forth of 36543.00
Answer:
9135.75
Step-by-step explanation:
1/4 of 36543
is the same as 0.25 × 36543 which is 9135.75
PLEASE HELP!!! DUE TODAY
Answer: The awnser is 4/15
Express 0.62727272 as a fraction
Answer:
[tex]\displaystyle \frac{69}{110}[/tex]
Step-by-step explanation:
Decimal to Fraction Conversion
We have the number
N=0.62727272...
Multiplying by 10:
10N=6.272727
Multiplying by 100:
1000N=627.2727
Subtracting the last two equations, the periodic part cancels out:
1000N - 10N = 627 - 6
Operating:
990N = 621
Dividing by 9:
110N = 69
Dividing by 110:
[tex]\displaystyle N=\frac{69}{110}[/tex]
The vertex of this parabola is at (1,3). Which of the following could be its
equation?
10
(1,3)
-10
10
- 10+
Answer:
C. [tex]x = 3\cdot (y-3)^{2}+1[/tex]
Step-by-step explanation:
From Analytical Geometry, the equation of a parabola with axis of symmetry parallel to the x-axis and centered in [tex]V(x,y) = (h,k)[/tex] is described below:
[tex]x-h = C\cdot (y-k)^{2}[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]h[/tex], [tex]k[/tex] - Coordinates of the vertex.
[tex]C[/tex] - Vertex factor.
If we know that [tex]h = 1[/tex] and [tex]k = 3[/tex], then the equation of the parabola is:
[tex]x-1 = C\cdot (y-3)^{2}[/tex]
[tex]x = C\cdot (y-3)^{2}+1[/tex]
Therefore, the option that could be its equation is C.
A person walks 2/3 of mile in 10 minutes. Show how to use the double number line strategy to answer the following
a) how far will the person walk in 30 minutes?
b) How far will it take the person to walk 1 mile?
Answer:
10
Step-by-step explanation:
4 4/5 divided by 3/10
Help
Answer:
16 is the answer
Step-by-step explanation:
4 4/5 x 10/3
Answer:
16
Step-by-step explanation:
4 4/5 / 3/10 =
24/5 / 3/10 =
24/5 x 3/10=
240/15 / 15/15 =
16
hope it helps , mark brainleist if u want and thx
Enter the correct answer in the box.
IF x≠0, what is the sum of 4 v^3 x^10 + 5x^3 ^3
Answer: [tex]14*\sqrt[3]{x^{10}}[/tex]
Step-by-step explanation:
First, let's remember the rules:
[tex]x^{1/n} = \sqrt[n]{x}[/tex]
such that:
[tex]\sqrt[n]{x^m} = x^{m/n}[/tex]
[tex](x^a)^b = x^{a*b}[/tex]
[tex]x^a*x^b = x^{a + b}[/tex]
Now we have the equation:
[tex]4*\sqrt[3]{x^{10}} + 5*x^3*\sqrt[3]{8*x}[/tex]
First, let's rewrite the roots as we saw above:
[tex]4*x^{10/3} + 5*x^3*\sqrt[3]{8}*x^{1/3} = 4*x^{10/3} + 5*\sqrt[3]{8}*x^{3 + 1/3}[/tex]
We also know that: [tex]\sqrt[3]{8} = 2[/tex]
and that: [tex]3 + 1/3 = 9/3 + 1/3 = 10/3[/tex]
Replacing those two things in our equation, we get:
[tex]4*x^{10/3} + 5*\sqrt[3]{8}*x^{3 + 1/3} = 4*x^{10/3} + 5*2*x^{10/3} = (4 + 5*2)*x^{10/3}[/tex]
[tex](4 + 10)*x^{10/3} = 14*\sqrt[3]{x^{10}}[/tex]
Where in the final step, I returned to the cubic root form.
Answer:
Step-by-step explanation: [tex]14x^{3} \sqrt[3]{x}[/tex]
What's the answer quick someone pls
Answer:
y=x
Step-by-step explanation:
A rectangle is drawn so the width is 14 inches
longer than the height. If the rectangle's
diagonal measurement is 26 inches, find the
height.
Give your answer rounded to 1 decimal place.
A rectangle is drawn so the width is 14 inches longer than the height. If the rectangle's diagonal measurement is 26 inches, the height is 10m.
Let the height is H and width is w
So w= 14+H
And diagonal is 26
So if diagonal is d
d^2 = w^2 + H^2 = 26^2
So (14+H)^2 +H^2 = 676
196 +2H^2+28H = 676
H^2+14H-240 = 0
H^2+24H-10H -240 = 0
H(H+24) -10(H+24) = 0
So H =10,-24
So only H = 10m is possible.
So height is 10 m
A diagonal is a line segment that connects two polygonal corners (vertexes), although it is not an edge (side). In other words, it connects any two polygonal vertices that are not neighboring. In a polygon, a diagonal is created by directly connecting any two vertices that are not connected by a side.
To learn more about diagonal visit:https://brainly.com/question/12274248
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Kayla invests $500 in a local business. She later gets paid 110% of what she originally invested. How much money was she paid? How much money did she make?
Answer:
She was paid $550 and made a profit of $50.
Step-by-step explanation:
Given that:
Amount invested by Kayla = $500
Amount returned = 110%
Amount returned = [tex]\frac{110}{100}*500[/tex]
Amount returned = 1.1 * 500
Amount returned = $550
Profit made by Kayla = 550 - 500
Profit made by Kayla = $50
Hence,
She was paid $550 and made a profit of $50.
9.
Ms. Abbott's 6th grade class has 18 students with brown eyes and 15 students with blue eyes. Ms. Downey's 6th grade class has 12 students with brown eyes and 10 students with blue eyes. What is the ratio of the students with brown eyes to the total number of 6th grade students?
a.
3/5
c.
6/11
b.
11/6
d.
5/3
Answer:
6/11
Step-by-step explanation:
Plz help this is 10 points
Answer:
9/7
Step-by-step explanation:
plz help me??? (dont u feel like people r ignoring u?)
Answer:
yes all the time
Step-by-step explanation:
what is the sum 5+6+10+6......+∞
40% of what number is 60
Answer:
24
Step-by-step explanation:
Lets make this simple, divide it by 10 then mulitiply by 4 and there you go
Answer:
150
Step-by-step explanation:
