Answer:
105 students
Step-by-step explanation:
The computation of the number of students left the school is given below:
Let us assume the total students be x and 100%
Left percentage = 84%
Remaining percentage = 100% - 84% = 16%
Now according to the question
16% of x = 20
0.16x = 20
x = 20 ÷ 0.16
x = 125
Total students 125
Those who left is
= 84% of 125
= 105 students
The area of a trapezoid is 216 in2 and it two bases are 14 and 22 inches long. Find the height of the trapezoid.
Answer:
12 inches
Step-by-step explanation:
The formula for a trapezoid is
A = 1/2(a +b)h
The formula to find the height =
h = 2A/a + b
A= 216 in²
a =14 in
b = 22 in
Hence,
h = 2 × 216/14 + 22
h = 12 inches
The height of the trapezoid = 12 inches
Please help..
Solve for the area of the figure below and show work.
Answer and Step-by-step explanation:
1. We can see that this kite-shape has 4 triangles in it.
The area of a triangle is as follows:
[tex]A = \frac{bh}{2}[/tex]
Where:
b = Base (length)
h = Height
Top Right Triangle Area:
b = 9
h = 3
A = [tex]\frac{3 * 9}{2}[/tex]
A = [tex]\frac{27}{2}[/tex]
Bottom Right Triangle Area:
b = 9
h = 3
A = [tex]\frac{3 * 9}{2}[/tex]
A = [tex]\frac{27}{2}[/tex]
Top Left Triangle Area:
b = 4
h = 3
[tex]A = \frac{4*3}{2}[/tex]
A = [tex]\frac{12}{2}[/tex]
A = 6
Bottom Left Triangle Area:
b = 4
h = 3
[tex]A = \frac{4*3}{2}[/tex]
A = [tex]\frac{12}{2}[/tex]
A = 6
Now, we add all the areas together to get the area of the kite figure.
A = [tex]\frac{27}{2}[/tex] +
A = 27 + 12
A = 39
The area of the kite figure is 39 [tex]m^{2}[/tex].
2. We have to find the area of the trapezoid.
(I'm not sure if the 9 is for the entire bottom side length)
If the bottom side length is 9, then we would use the formula:A = [tex]\frac{a + b}{2} h[/tex]
to find the area of the entire trapezoid.
A = [tex]\frac{2.4 + 9}{9}[/tex] × 8.2
A ≈ 46.74 [tex]mi^{2}[/tex]
#teamtrees #PAW (Plant And Water)
find the value of tan30+cot30+sin60
Hello!
This is a problem about relating values of the Unit Circle.
First, we need to figure out the specific "points" of each angle measure of 30 and 60.
For the angle measure 30, the point will be [tex](\frac{\sqrt{3}}{2},\frac{1}{2})[/tex].
For the angle measure 60, the point will be [tex](\frac{1}{2},\frac{\sqrt{3}}{2})[/tex].
The tangent value of a point will be its [tex]y[/tex] value over its [tex]x[/tex] value.
[tex]\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}=\frac{1}{2}*\frac{2}{\sqrt{3}}=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]
The cotangent value of a point will be the reciprocal of the tangent value, which we found previously.
[tex]\frac{3}{\sqrt{3}}=\frac{3\sqrt{3}}{3}=\sqrt{3}[/tex]
The sine value of a point will be the [tex]y[/tex] value of the point.
[tex]\frac{\sqrt{3}}{2}[/tex]
So the values we have so far are [tex]\frac{\sqrt{3}}{3}+\sqrt{3}+\frac{\sqrt{3}}{2}[/tex]
Now we have to find the LCD to add these together, which in this case would be 6.
[tex]\frac{2\sqrt{3}}{6}+\frac{6\sqrt{3}}{6}+\frac{3\sqrt{3}}{6}[/tex]
Which adds up to [tex]\frac{11\sqrt{3}}{6}[/tex], which is in simplest radical form.
Hope this helps!
Tom needs to plow 1.1 acres of land. If he can plow 5.5 acres in an hour, how many hours will it take?
Help! (16 pts if you answer!)
Given:
Tom needs to plow 1.1 acres of land.
He can plow 5.5 acres in an hour.
To find:
The time taken by Tom to plow 1.1 acres of land.
Solution:
We have,
Time take by Tom to plow 5.5 acres = 1 hour
Time take by Tom to plow 1 acre = [tex]\dfrac{1}{5.5}[/tex] hour
Time take by Tom to plow 1.1 acres = [tex]\dfrac{1.1}{5.5}[/tex] hour
= [tex]0.2[/tex] hour
Therefore, the time taken by Tom to plow 1.1 acres of land is 0.2 hour.
Solve each system of equation Y=x+12 y=-18
HELP PLEASE ASAP!!!!!!!!!!!!!!!!!!!!!!!
Answer:
3
Step-by-step explanation:
(plz mark as branliest if correct)
Answer:
3
Step-by-step explanation:
P to S is 3 and the other side must be equal so its 3.
help and explain please
Answer:
36/90 = .4
.4 x 100 = 40
So 36 is 40 percent of 90
(S/P = .4 x 100 = 40)
2. Taxes
plsdo thisgggggggggggggggggggggggg
Answer:
4.32
Step-by-step explanation:
gansnxiuzgenemxjxhsbe dnsjzuxghsbeb3ne
rewrite the equation 12x=13-x^2
Answer:
x^2+12x-13 = 0
Step-by-step explanation:
12x=13-x^2
=>12x+x^2=13-x^2+x^2
=>x^2+12x-13 = 13-13
=> x^2+12x-13 = 0
Answer:
x² + 12x - 13 = 0
Step-by-step explanation:
12x = 13 - x²
the standard form of an equation is written starting from the variable of the highest degree to the lowest. Hence after rearranging;
0 = 13 - x² - 12x
0 = -x² - 12x + 13
In an equation, the highest degree of a variable should preferably be postive hence the equation to the left side to remove the negative sign:
x² + 12x - 13 = 0
The surface area of the square pyramid shown is 84 square inches. What is the value of $x$ ? Square pyramid with base edge of 6 inches, and a slant height labeled x inches, on a triangular face.
Answer:
4 inches
Step-by-step explanation:
The surface area, A of a right square pyramid is given by :
A = a² + 2as
Where, s = height of each triangular surface = x
a = base edge of pyramid
Substituting values into the equation :
A = 84 in² ; a = 6 in ; Slant height, s = x
84 = 6² + 2(6 * x)
84 = 36 + 2(6x)
84 = 36 + 12x
84 - 36 = 12x
48 = 12x
48/12 = 12x / 12
4 = x
Hence, Slant height, x = 4 inches
Answer:
4 inches
Step-by-step explanation:
The surface area, A of a right square pyramid is given by :
A = a² + 2as
Where, s = height of each triangular surface = x
a = base edge of pyramid
Substituting values into the equation :
A = 84 in² ; a = 6 in ; Slant height, s = x
84 = 6² + 2(6 * x)
84 = 36 + 2(6x)
84 = 36 + 12x
84 - 36 = 12x
48 = 12x
48/12 = 12x / 12
4 = x
Hence, Slant height, x = 4 inches
If interest is compounded twice a year, at what annual rate must you invest $2000 to have $3000 at the end of 6 years?
Step-by-step explaination
How to calculate interest compounded semiannually
Add the nominal interest rate in decimal form to 1. The first order of operations is parentheses, and you start with the innermost one. ...
Solve step one to the power of how many compounding periods. ...
Subtract from step two. ...
Multiply step three by the principal amount.
find the area of each shaded sector. Round to the nearest hundredths place. Use 3.14 for pi
Answer:
8.48cm²
Step-by-step explanation:
area of a sector = [tex]\frac{0\pi r^2\\\\}{360}[/tex]
where 0 = angle measure of sector
and r = radius
we are given the angle measure ( 23° ) and the radius ( 6.5 cm )
so all we have to do is plug in the values into the formula
(Note that the question asks us to use 3.14 for pi)
[tex]A=\frac{23*3.14* 6.5^2\\\\}{360}\\6.5^2 = 45.25\\23*3.14 =72.22\\72.22*45.25 = 3051.295\\\frac{3051.295}{360} =8.47581944[/tex]
so the area of the sector = 8.47581944 cm^2
finally we want to round to the nearest hundredth and we get that the answer is 8.48cm²
Each group of variables and numbers, separated by addition and subtraction signs, is called a(n) ____________________ of the equation.
Answer:
Term
Step-by-step explanation:
Abe plans to lay tiles on the areas shown. A case of tiles costs $40 and covers 15 square feet. How much does Abe need to budget for the tiles?
$360
$400
$440
$480
NO LINKS!!!
4.2 fill in the missing value
11, 20, 29,
,56
Answer:
The missing value are 38 ,47
Step-by-step explanation:
11,20,29,38,47,56
I hope this will help you
plz mark me as brainest answer
Answer:
we add 9 to get the following concepts
11+9=20
20+9=29
29+9=38
38+9=47
47+9=56
Each quadrilateral below is a parallelogram . find the missing measures!
Answer:
Step-by-step explanation:
Help need answer rn.
Answer:
The 3rd one
Step-by-step explanation:
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
The circumference of a circle is 20 pi find it's diameter in inches
Answer:
20 in.
Step-by-step explanation:
What is ten kilograms minus thirty gram?
Answer:
10kg-30g
10×1000g - 30g
(10000 - 30) g
9970g
if it helps don't forget to like and Mark me
CAR RENTAL The cost of renting a car is given by
49x + 0.3y. Let x represent the number of days rented,
and let y represent the number of miles driven. Find the
cost for a five-day rental over 125 miles.
Answer:
$282.5
Step-by-step explanation:
First plug your numbers into the equation
49(5) + .3(125)
Multiply numbers
245 + 37.5
Add these numbers together to find your answer
Sean solved a quadratic equation by factoring.
The problem he solved is given. Complete the
four blanks shown for one of his steps and the
solution
Step-by-step explanation:
Here are the steps required for Solving Quadratics by Factoring:
Step 1: Write the equation in the correct form. To be in the correct form, you must remove all parentheses from each side of the equation by distributing, combine all like terms, and finally set the equation equal to zero with the terms written in descending order.
Step 2: Use a factoring strategies to factor the problem.
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Example 1 – Solve: x2 + 16 = 10x
Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
Step 1
Step 2: Use a factoring strategies to factor the problem.
Step 2
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 3
Step 4: Solve each factor that was set equal to zero by getting the
Suppose three moons A, B, and C orbit 100,000 kilometers above the surface of a planet. Suppose m ZABC = 90°, and the planet is 20,000 kilometers in diameter. Draw a diagram of the situation. How far is moon A from moon C?
Answer:
Step-by-step explanation:
Please see diagram attached.
Moon A and C are 100,000km + 10,000 = 110,000km from center of planet.
So they are 110,000 + 110,000 = 220,000km apart.
Answer:
Step-by-step explanation:
AC is 220000km according to the drawing:
is 10 greater than, less than, or equal to 5?
Answer: it’s less 5<10
Step-by-step explanation:
PLEASE HELP! NO LINKS OR I WILL REPORT!! I SUCK AT ALGEBRA
Answer:
-5 and 3
Step-by-step explanation:
(-(-2) +/- √(4- (4(1)(-15))) ÷ 2
(2 +/- √64 )÷ 2
(-2+8) ÷ 2 = 3
(-2 -8) ÷ 2 = -5
Ms. Burk asked her students to simplify expressions. The students answers 4 points
are in the table below. Select the correct option for each expression. *
Student Equivalent Expressions
Emily 3t + 5t - 2t = 6t
Joseph 6(2b + 5) = 12b x 30
Nico
2(5r - 9) = 10r - 18
Katie 5(4d - 5) =20d - 25
Answer: is the teacher mr.Burks? what school you go to if it is costa mesa high i know i had her and still have the notes!
i think it its nico and katie but just wait for someone else to answer
Step-by-step explanation:
All of my friends plz answer me and be safe btw
Answer: What is the question?
Step-by-step explanation:
This table shows Jill's math quiz scores. What is the minimum score she needs on her next
quiz to have a mean of at least 92?
Jill's Math Quiz Scores
Math Quiz
Week
Score
1
92
2
96
94
88
- م ه ه
90
92
88
94
Answer:
answer is 92
Step-by-step explanation:
iReady Math Test Diagnostic
O 1. What should always be the first statement in a formal proof?
O Theorem
O Given
O Counterexample
O Conclusion
The first statement in a formal proof is given.
What should always be the first statement in a formal proof?Remember to always begin our proof with the given information, and complete our proof with what you set out to deliver. As long as you do that, utilize one reason at a time, and only utilize definitions, postulates, and different theorems for your reasons, your proofs will float like a mountain stream.
The most familiar form of explicit proof in high school geometry exists as a two-column proof that consists of five parts: the given, the proposition, the statement column, the reason column, and the diagram (if one exists given).
Therefore, the correct answer is option b) Given.
To learn more about formal proof
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Find the Perimeter
8 cm
|-0-00
5 cm
4 cm-
Answer:
The perimeter of the triangle is 34 cm
Step-by-step explanation:
Here, we want to find the perimeter of the triangle
This is simply the sum of the side lengths
mathematically, the distance of two lines from a point touching the circle is the same
so, on the other sides, we have the missing sides as;
5cm, 4 cm and 8 cm
So the perimeter will be;
4cm + 5cm + 8 cm + 4 cm + 8 cm + 5 cm = 34 cm
2. Tim makes a tissue box. The area of the base is 45 square inches. The height of the box is 4 inches. What is the volume of the tissue box?
The volume of the tissue box is 180 cubic inches.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, the area of the base is 45 square inches.
The height of the box is 4 inches.
Now, volume = 45×4
= 180 cubic inches
Therefore, the volume of the tissue box is 180 cubic inches.
To learn more about the volume visit:
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