c) I use the 4 triangles to make a trapezium. What is the area of the trapezium?
Answer:
1/2=10
Step-by-step explanation:
it depends upon the area of the triwngle
A movie theater charges $7.50 for adults and $4.50 for children. For a recent showing of the movie "Maleficent," the
theater sold 43 tickets and made a total of $238.50. How many children's tickets and how many adult tickets were sold?
Answer
9 and 10
Step-by-step explanation:
add midnight the temperature was 14°F. By 5 AM the temperature had increased by 5°F. At noon the temperature had decreased by 20°F, how much does the temperature need to rise or fall to return to the original temperature of 14°F
Answer:
It needs to rise by 15°F to get back to 14°F
Step-by-step explanation:
yes
The function h(T)= 200- 16t represents the height of a ball dropped from 200 feet.
How far had the ball traveled after falling for 7 seconds?
Answer: 112 feet
Step-by-step explanation:
QUICK SOMEONE HELP!! I’LL MARK BRAINLIEST
Answer:
A - 152
Step-by-step explanation:
You see the box on the right triangle, meaning it is 90.
Add 90 + 62 to get 152, so the angle is 152.
The Tran family and the Green family each used their sprinklers last summer. The water output rate for the Tran family's sprinkler was 35L per hour. The water output rate for the Green family's sprinkler was 40L per hour. The families used their sprinklers for a combined total of 50 hours, resulting in a total water output of 1900L. How long was each sprinkler used?
Answer:
Tran family's sprinkler was used for 20 hours
Green's family's sprinkler was used for 30 hours
Step-by-step explanation:
Let the hours for which Tran family's sprinkler used is x hours
water output rate for the Tran family's sprinkler = 35L per hour
water output from Tran family's sprinkler in x hours = 35*x L = 35x
Let the hours for which Green family's sprinkler used is y hours
water output rate for the Green family's sprinkler = 40L per hour
water output from Green family's sprinkler in x hours = 40*y L = 40y
Given
The families used their sprinklers for a combined total of 50 hours
thus
x + y = 50 -------------------equation 1
y = 50-x
total water output of 1900L
35x+40y = 1900 -------------------equation 1
using y = 50-x in equation 2, we have
35x + 40(50-x) = 1900
35x + 2000 - 40x = 1900
=> -5x = 1900 - 2000 = -100
=> x = -100/-5 = 20
y = 50-20 = 30
Thus,
Tran family's sprinkler was used for 20 hours
Green's family's sprinkler was used for 30 hours
Which expression would be easier to simplify if you used the associative
property to change the grouping?
Answer:
B
Step-by-step explanation:
The number of salespeople assigned to work during a shift is apportioned based on the average number of customers during that shift. Apportion 16 salespeople using Jefferson's method given the information below.
Shift Morning Midday Afternoon Evening
Average number of customers 125 280 460 560
Salespeople to assign
What modified divisor did you use?
a) Using the standard divisors according to Jefferson's apportionment method, the number of salespeople assigned to work each shift is as follows:
Shift Morning Midday Afternoon Evening Total
Number of
salespeople assigned 1 3 5 7 16
b) The modified or adjusted divisor used represents the average number of customers for each shift divided by the standard divisor.
What is the standard divisor?The standard divisor shows the ratio of the total population to the number of seats.
The standard divisor gives an insight about the number of people each seat represents.
Standard divisor = Total number of customers / Total number of salespeople
The total number of customers = 1,425
The number of salespeople = 16
a) Standard divisor = 1,425 ÷ 16
= 89.0625
Shift Morning Midday Afternoon Evening Total
Average number of
customers 125 280 460 560 1,425
Standard divisor 89.0625 89.0625 89.0625 89.0625
b) Modified divisor 1.4035 3.1438 5.165 6.288
Number of
salespeople assigned 1 3 5 7 16
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graph -x + 2y = -2 by plotting three points
Using three points, (2, 0), (4, 1), and (6, 2), the graph of -x + 2y = -2 is plotted as shown in the attachment below.
How to Graph an Equation?To graph the line of the equation, -x + 2y = -2 by plotting tree points, first use the equation to generate the three points as explained below.
Find the corresponding y-values when x = 2, x = 4, and x = 6.
When x = 2, substitute the value of x into the equation, -x + 2y = -2:
-(2) + 2y = -2
-2 + 2y = -2
-2 + 2y + 2 = -2 + 2
2y = 0
y = 0/2
y = 0
When x = 4, substitute the value of x into the equation, -x + 2y = -2:
-(4) + 2y = -2
-4 + 2y = -2
-4 + 2y + 4 = -2 + 4
2y = 2
y = 2/2
y = 1
When x = 6, substitute the value of x into the equation, -x + 2y = -2:
-(6) + 2y = -2
-6 + 2y = -2
-6 + 2y + 6 = -2 + 6
2y = 4
y = 4/2
y = 2
The points for the graph of -x + 2y = -2 are (2, 0), (4, 1), and (6, 2). See the image attached below.
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PLEASE HELP I HAVE TO SUBMIT IT TODAY
Answer: 17,160 feet
Step-by-step explanation:
Because I mile = 5280 feet, 3 and 1/4 miles = 3.25 x 5280 = 17160 feet
Factor Completely
24+27v
Find the surface area and volume of a sphere.
A = 4 r²
V = 4/3r³
A sphere has a radius of 4 inches.
Area (to the nearest tenth) =
Volume (to the nearest tenth) =
sq. in.
cu. in.
\(\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies SA=4\pi (4)^2\implies SA\approx 201.1~in^2 \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies V=\cfrac{4\pi (4)^3}{3}\implies V\approx 268.1~in^3\)
What is the answer pleaseee
Answer: 803.84cm3
Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.
To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.
4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.
Now, we have the area of the circle. 50.24cm squared!
The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,
16cm x 50.24cm squared = 803.84cm cubed.
The volume of the can of soup is 803.84cm cubed.
its a whole another assignment hereee
A swimming pool is shaped like the figure below. Each end is a semicircle, and the length and width of the rectangle are 60 feet and 30 feet, respectively.
The area of the border is 105.53 feet².
We have,
The swimming pool is a combination of two shapes.
Rectangle:
Length = 60 feet
Width = 30 feet
Area = 60 x 30 = 1800 feet²
Semicircle:
Diameter = 30 feet
Radius = 15 feet
Area = π/2 r² = 1/2 x 3.14 x 15 x 15 = 353.25 feet².
Now,
The area of the swimming pool.
= 1800 + 353.25
= 2153.25 feet²
Now,
Without the border.
Area of the swimming pool.
= rectangle area + semicircle area
= 60 x (30 - 1) + 1/2 x π x (15 - 1)²
= 60 x 29 + 1/2 x 3.14 x 14 x 14
= 1740 + 307.72
= 2047.72 feet²
Now,
The area of the border.
= 2153.25 - 2047.72
= 105.53 feet²
Thus,
The area of the border is 105.53 feet².
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What are the solutions of the equation x4 – 5x2 – 36 = 0? Use factoring to solve.
Answer:
x=+/-3
Step-by-step explanation:
x^4-5x^2-36=0
factor
(x^2-9)(x^2+4)=0
split into 2 equations because one of these terms will need to equal zero for the eqation to be true
x^2-9=0 x^2+4=0
x^2=9 x^2=-4
x=+/-3 no real numbers
Answer:
B) X = ±2i and x = ±3
Step-by-step explanation:
Took the test
An English teacher needs to pick 10 books to put on her reading list for the next school year, and she needs to plan the order in which they should be read. She has narrowed down her choices to 4 novels, 6 plays, 8 poetry books, and 4 nonfiction books. Step 1 of 2 : If she wants to include no more than 3 poetry books, how many different reading schedules are possible? Express your answer in scientific notation rounding to the hundredths place.
Answer:
the number of possible reading schedules is 1.064301638 × 10¹²
Step-by-step explanation:
Given that :
The English teacher needs to pick 10 books to put on her reading list for the next school year.
If the English teacher picks at most 3 poetry books i.e no more than 3 poetry books from 8 books. and other books are picked from (6+4+4 ) = 14 books
Thus; the number of ways to pick the books are :
\(\left[\begin{array}{c}8\\0\\ \end{array}\right] \ \left[\begin{array}{c}14\\10\\ \end{array}\right]+ \left[\begin{array}{c}8\\1\\ \end{array}\right] \left[\begin{array}{c}14\\9\\ \end{array}\right] + \left[\begin{array}{c}8\\2\\ \end{array}\right] \left[\begin{array}{c}14\\8\\ \end{array}\right] + \left[\begin{array}{c}8\\3\\ \end{array}\right] \left[\begin{array}{c}14\\7 \\ \end{array}\right]\)
\(= [ \dfrac{8!}{0!(8-0)!}* \dfrac{14!}{10!(14-10!)} ] + [ \dfrac{8!}{1!(8-1)!}* \dfrac{14!}{9!(14-9)!}]+ [ \dfrac{8!}{2!(8-2)!}* \dfrac{14!}{8!(14-8)!}] + [ \dfrac{8!}{3!(8-3)!}* \dfrac{14!}{7!(14-7)!}]\)
\(= [ 1*1001]+[8*2002]+[28*3003]+[56*3432]\)
\(\mathbf{= 293293}\)
However, to determine how many reading schedules that are possible we use the relation:
Number of ways to pick a book × \(^{10}P_{10}\)
\(= 293293* \dfrac{10!}{(10-10)!}\)
= 293293 × 10!
= 1.064301638 × 10¹²
Thus , the number of possible reading schedules is 1.064301638 × 10¹²
you buy 2.3 pounds of apples for $1.43 per pound. how much do you spend
Answer:
$3.36
Step-by-step explanation:
$1.43 = 1 lbs
$1.43 + $1.43 = $2.86
$2.86 + .3 = $3.36
NEED HELP URGENTLY!!!!!
20. Write a word problem such that the equation
to be formed for solving the problem is
QUESTION 6x +4(x - 10) = 140.
OPEN
In linear equation, x = 18 is the value of x in equation .
What is a linear equation example?
Ax+By=C is the usual form for two-variable linear equations.As an illustration, the conventional form of the linear equation 2x+3y=5 When an equation is given in this format, finding both intercepts is rather simple (x and y).A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.6x +4(x - 10) = 140.
6X + 4X - 40 = 140
10X = 140 + 40
10x = 180
x = 180/10
x = 18
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Find the 9th term of the geometric sequence show below
Answer:
40x^20
Step-by-step explanation:
Each sequence the x value doubles.
Each sequence the x exponent goes up by 5
What is the period of the parent cosine function, y=cos(x)? degrees
What is the period of the cosine function shown in the graph? degrees
Answer: first 360 second 1080 third horizontal stretch
Step-by-step explanation:
The period of this parent cosine function [y=cos(x)] is equal to 360 degrees.
What is the period of a cosine function?The period of a cosine function can be defined as the overall length of the interval of values on the x-axis over which a graph lies and it's repeated. Mathematically, the period of this parent cosine function [y=cos(x)] is given by:
T = 2π/A
Where:
A is the coefficient of the x.When A = 1, we have:
T = 2π/1 = 360 degrees.
For the graphed function, the period of this cosine function is given by:
T = 6π
T = 6 × 360
T = 1080 degrees.
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simplify or solve the problem
2 ( 2x - 7 ) = - 34
Answer:
x = -5
Step-by-step explanation:
Original equation:
2(2x - 7) = -34
Use distributive property
2 · 2x = 4x
2 · (-7) = -14
Plug these values back into the equation
4x - 14 = -34
Add 14 to both sides
4x = -20
Divide both sides by 4
x = -5
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State wheather the given pair are complementary or not
The pairs of complementary angles are:
1) 36° and 54°
4) 23° and 67°
5) 5° and 85°
Which pairs of angles are complementary?Two angles A and B are complementary if the sum of the measures is equal to 90°.
For the given options, the 3 correct ones are:
1) 36° and 54°
The sum gives:
36° + 54° = 90°
So these are complementary.
4) 23° + 67° = 90°
These are also complementary.
5) 5° + 85° = 90°
These are also complementary.
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At a local fitness center, gym members pay $3 per workout with an annual membership fee of $140. Non-members pay $10 per workout. If you plan on working out an average of twice a month for the next year, is a membership worth the investment? Show your thinking
PLEASE HELP
Answer:
Yes the membership is worth it. If you have a membership you will pay $140 for the whole year. Then, it is $3 everytime you workout and if you plan on working out 2 times a month the total will be $72 dollars. So $72 + $140 is $212 yearly. If you don't get the membership you pay $20 a month because you will workout twice a month. So, 20 times 12 is $240. It may seem like it's not worth it but it actually comes out cheaper. So, yes I do think the membership is worth it.
Step-by-step explanation:
Hope you find this helpful. If you have questions feel free to ask.
Question
From a point P on a level ground and directly west of a pole, the angle of elevation of the top of the pole is 45° and from point Q east of the pole, the angle of elevation of the top of the pole is 58°. If |PQ|= 10m, calculate, correct to 2 significant figures, the:
a) distance from P to the pole;
b) height of the pole.
a) The distance from point P to the pole is: 6.2 m
b) The height of the Pole is: 6.2 m
How to find the distance and height from angle of elevation?The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.
Now, we are given that:
The angle of elevation of the top of the pole = 45°
Angle of elevation of the top of the pole = 58°.
|PQ|= 10m
a) PR is distance from point P to the pole and using trigonometric ratios, gives us:
PR/sin 58 = 10/sin(180 - 58 - 45)
PR/sin 58 = 10/sin 77
PR = (10 * sin 58)/sin 77
PR = 8.7 m
b) P O can be calculated with trigonometric ratios as:
P O = PR * cos 45
P O = 8.7 * 0.7071
P O = 6.2 m
Now, the two sides of the isosceles triangle formed are equal and as such:
R O = P O
Thus, height of pole R O = 6.2 m
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The endpoints of WX are W(-5,-1) and X(2,6).
What is the length of WX?
A. 7
B. 14
C. 4√2
D. 7/2
Find all solutions
for cotx=-1
Answer:
\(\cot(x) = -1\) whenever \(\displaystyle x = k\, \pi-\frac{\pi}{4}\) radians, where \(k\) could be any integer (\(k \in \mathbb{Z}\), which includes positive whole numbers, negative whole numbers, and zero.)
Step-by-step explanation:
\(x = 45^\circ\) (as in isoscele right triangles) would ensure that \(\displaystyle \cot(x) = 1\). Since cotangent is an odd function, \(\cot(-45^\circ) = -1\).
Equivalently, when the angles are expressed in radians, \(\cot(-\pi / 4) = -1\).
The cycle of cotangent is \(\pi\) (or equivalently, \(180^\circ\).) Therefore, if \(k\) represents an integer, adding \(k\, \pi\) to the input to cotangent would not change the output. In other words:
\(\displaystyle \cot\left(k\, \pi - \frac{\pi}{4}\right) = \cot(-\pi / 4) = -1\).
Hence, \(\displaystyle x = k\, \pi-\frac{\pi}{4}\) would be a solution to \(\cot(x) = -1\) whenever \(k\) is an integer.
Since \((-\pi / 4)\) is the only solution to this equation in the period \((0,\, \pi)\), all real solutions to this equation would be in the form \(\displaystyle x = k\, \pi-\frac{\pi}{4}\) (where \(k\) is an integer.)
Ju Chan solved the previous question by finding the expression 4(-15). Which addition problem would give the same result? Choose all that apply. A . 15 + 15 + 15 + 15
A . 15 + 15 + 15 +15 B . 4 + 4 + 4 + 4
C . (–1)(15 + 15 + 15 + 15)
D . (–15) + (–15) + (–15) + (–15)
Answer:
C. (-1)(15+15+15+15)
D. (-15)+(-15)+(-15)+(-15)
Step-by-step explanation:
The original expression: 4(-15)=-60
Let's try choice A: 15+15+15+15=60(not a negative number, so does not work)
Let's try choice B: 4+4+4+4=16(nowhere near -60)no
Let's try choice C: (-1)(15+15+15+15)=(-1)(60)=-60--yes
Let's try choice D: (-15)+(-15)+(-15)+(-15)=-60--yes
Only choices C and D work.
Answer:
c and d
Step-by-step explanation:
just did it
Covert 11/4 into a percent
Answer: Should be 275%
Step-by-step explanation:
Write an equivalent algebraic equation for the sentence below.
The difference of x and 7 is 13
Answer:
x-7=13
Step-by-step explanation:
x-7= 13
hope that helps