Answer:
see explanation
Step-by-step explanation:
Consider the ratios of corresponding sides
[tex]\frac{PQ}{QR}[/tex] = [tex]\frac{30}{15}[/tex] = 2
[tex]\frac{PT}{QS}[/tex] = [tex]\frac{20}{10}[/tex] = 2
[tex]\frac{QT}{RS}[/tex] = [tex]\frac{28}{14}[/tex] = 2
Since the ratios of corresponding sides are equal, then
Δ PQT and Δ QRS are similar by the SSS postulate
If f(x)=x-1/3 and g(x) = 3x+1, what is(fºg)(x)?
Answer:
(fog)(x)=18x+1029x+1. (gof)(x)=27x+87x−8. Explanation: Given: f(x)=3x−12x+5 and g(x)=7x+33x−1. Solution for (fog)(x).
Step-by-step explanation:
Answer:(fog)(x)=18x+1029x+1. (gof)(x)=27x+87x−8. Explanation: Given: f(x)=3x−12x+5 and g(x)=7x+33x−1. Solution for (fog)(x).
Step-by-step explanation:
Estimate the square root to the nearest (a) integer and (b) tenth.
√-335/2
I had the same question on my homework.
Answers:
a) -13
b) -12.9
A tower is composed of a prism with a square base and
a pyramid. The base length is 20 meters, and the
height of the prism is 40 meters, while the slant height
of the pyramid is 10v2 meters. What is the total surface
area, including the bottom base?
O 400V2 + 3,600 m2
O 200V2 + 3,600 m2
0 40012 + 400 m2
O 400012 m2
Answer:
a)400V2 plus 3,600 m2
Step-by-step explanation:
Answer:
400V2 + 3,600 m2
Step-by-step explanation:
Got it right on edge
Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).
Answer:
The area of the shaded area is 27 [tex]\pi[/tex]
Step-by-step explanation:
The formula for the area of a circle is :[tex]\pi *radius^2[/tex]
To work this out you would first have to work out the area of the circle. You can do this by multiplying [tex]\pi[/tex] by the radius of 6 squared, this gives you 36[tex]\pi[/tex]. However the question is asking for that section of the circle.
To work out the area of the shaded section you will first have to look at the missing angle, as it is 90° . A circle has 360° and so if we divide 360 by 90, this gives us 4. This tells us that [tex]\frac{3}{4}[/tex] of the circle is shaded as [tex]\frac{1}{4}[/tex] is not.
To work out the area of the shaded area you would divide the area of the whole circle which is 36[tex]\pi[/tex] by 4, this gives us 9[tex]\pi[/tex]. This tells us the area of 1 quadrant of the circle.
The next strep is to multiply 9[tex]\pi[/tex] by 3, this gives us 27[tex]\pi[/tex]. This is because now that we know the area of one quadrant we can find the area of the shaded area which covers 3 quadrant of the circle.
1) Multiply [tex]\pi[/tex] by 6 squared.
[tex]\pi *6^2=36\pi[/tex]
2) Divide 360 by 90.
[tex]360/90=4[/tex]
3) Divide 36 [tex]\pi[/tex] by 4.
[tex]36\pi/4=9\pi[/tex]
4) Multiply 9 [tex]\pi[/tex] by 3.
[tex]9\pi*3=27\pi[/tex]
Answer:
27 pi
Step-by-step explanation:
What is the area of the trapezoid?
Answer:
The answer is 36 squared centimeters
The length of a rectangle is six times its width.
If the perimeter of the rectangle is 112 ft, find its area.
Answer:
Area = 48*8=384 sq. in
Step-by-step explanation:
Perimeter = 112
Length 6x
Width =x cm
Perimeter = 2(6x+x)
Perimeter = 14x
112 = 14x x=
8 in Width
Length = 6*8=48 in
Area = 48*8=384 sq. in
Did this kinda fast but I hope it helped XD
Length of the rectangle = 48ft
Width of the rectangle = 8ft
Area of rectangle = 384 ft²
What is rectangle?Rectangle is a shape with four straight sides and four angles of 90 degrees (right angles). Two of the sides are longer than the other two.
Given,
Length of a rectangle is six times its width
Let width is x then length is 6x
Perimeter of rectangle = 112 ft
Perimeter of rectangle = 2(Length + Width)
2(Length + Width) = 112
2(x + 6x) = 112
7x = 56
x = 8
Width = 8 ft
Length = 6 × 8 = 48 ft
Area of rectangle = length × width
= 48 × 8
= 384 ft²
Hence, 8ft is width and 48ft is length of the rectangle. 384 ft² is the area of rectangle.
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Anyone know the answer to this ?
Answer:
Triangle HBN ~ triangle LYR
=> HN/LR = HB/LY
=> (3x - 7)/(x + 11) = 28/21
=> 21(3x - 7) = 28(x + 11)
=> 63x -147 = 28x + 308
=> 35x = 455
=> x = 455/35 = 13
There is no answer to select. But I still believe there is no mistake in my calculation.
Hope this helps!
:)
the isoceles triangle has a base that measures 14 units.the value of y, the length of each leg, must be
Answer:
greater than 7
Step-by-step explanation:
Solve for K: 40 + K = 56
K=
Answer:
k=16
Step-by-step explanation:
To solve this, we can isolate k.
40+k=56.
We can do this by subracting 40 from both sides.
40+k-40=k
56-40=16
k=16
First isolate or get k by itself by subtracting 40 from both sides.
That leaves us with k = 16.
To check our answer, substitute 16 back into the equation.
So we have 40 + (16) = 56 or 56 = 56.
Probability of landing in the white not the red. Please helpppppppppppp!
Fun, geometry disguised as probability.
That's a pentagon, which we can view as 10 right triangles with legs a and s/2 (half of s) and hypotenuse r. So area of the pentagon is
P = 10 × (1/2) a (s/2) = 10 (1/2) (3.2) (4.7/2) = 37.6
The area of the circle is πr² so the circle area is
C = π (4²) = 50.265482
The white area is the difference, C-P, and the probability we seek is the fraction of the circle that's white, so (C-P)/C.
p = (C-P)/C =1-P/C = 1-37.6/50.265482 = 0.251971
Answer: 0.25
Higher than I would have guessed from the figure.
Explain how to use a graph of the function f(x) to
find f(3).
Answer:
For f(3), the input is 3 and you are looking for the output. To determine the function's value when x = 3, go to the value of 3 on the x-axis and then locate the graph for that value of x. Determine the value of y from the y-axis at that location on the graph.
Step-by-step explanation:
up there
A continental breakfast has a choice of toast, muffin, or a bagel AND a choice of coffee, milk or apple juice. How many possible outcomes are there?
There are an unknown number of possible outcomes. To figure this out all we need to do is multiply the amount of options per category to get the number of possible combinations.
In this case, there are 3 choices of food items and 3 choices of drinks.
Therefore, we need to multiply 3 by 3 to get the combinations.
3 times 3 equals 9
In conclusion, there are 9 possible combinations to be made from the choices presented.
Answer:
there are 12 possible outcomes
Step-by-step explanation:
2/3 divided by 1 1/2
Answer: 0.4
Step-by-step explanation:
Determine whether the given point (2, -2) lies on the line 3x – y = 4.
Answer:
Step-by-step explanation:
3(2) + 2 = 4
6 + 2 = 4
8 is not equal to 4
Therefore (2,-2) does not equal
Seth wants to cover the top of a small table with glass parallelogram tiles. The top of the table measures 18 inches by 14 inches. If each tile has four sides of length 3 inches with a height of 2 inches, about how many tiles will he need? 26 42 63 84
Answer:
42
Step-by-step explanation:
edge 2022 :) I hope I helped a bit credit to the comment above me
The number of tiles he will need 42.
What is the area of a parallelogram?The area of a parallelogram is the product of the base and the height of the figure.
The area of a parallelogram = Base x Height
We are given that top of the table measures 18 inches by 14 inches. If each tile has four sides of length 3 inches with a height of 2 inches.
Area of table = Base x Height
= 18 x 14
= 252
Area of glass parallelogram tiles = Length x width
= 3 x 2
= 6
Now,
252 = 6 x number of tiles
number of tiles = 252 / 6
= 42
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What is the mode of 4, 9, 9, 9, 4, 6, 6, 6, 9?
Answer:
9
Step-by-step explanation:
That's the most common number there
Answer:
9
Step-by-step explanation:
The mode of a set of data values is the value that appears most often.
in this set, 9 appears 4 times -> 9 is mode
A charity is holding a raffle and sells 2000 tickets for $2 each. One ticket will win a grand
prize of $500. Two other tickets will be selected to win consolation prizes of $50 each.
Find the expected value if you buy one raffle ticket.
You would expect to lose $1.80 for each ticket purchased
You would expect to lose $ 1.55 for each ticket purchased
You would expect to lose $1.70 for each ticket purchased
You would expect to lose $1.60 for each ticket purchased
Answer:
Lose $1.70 for each ticket you purchase
Step-by-step explanation:
($500 x 1/2000) + ($50 x 2/2000) - $2
$0.25 + $0.05 - $2
-$1.70
What percentage of temperatures are below 55 degrees
Answer:
D) 20%
Step-by-step explanation:
Answer: The answer is B. 25%
Jake is wrapping a gift that is in a box with the following dimensions.
Length: 12 inches
Width: 4 inches
Height: 8 inches
Havana is wrapping a gift whose box's dimensions are all twice the length of the lengths in Jake's box. How many times larger is the surface area of Havana's box than Jake's box?
Answer:
Because you are looking for square inches of wrapping paper, you are looking for the surface area of the box. A three-dimensional box has a top and bottom that are the same size, a front and back that are the same size, and 2 sides that are the same size...or SA = 2(top/bottom area) + 2(front/back area) + 2(side/side area). Our equation fills in nicely like this:
SA = 2(6 * 14) + 2(6 * 8) + 2(14 * 8)
SA = 2(84) + 2(48) + 2(112)
SA = 168 + 96 + 224
SA = 488 square inches of paper to wrap the box.
Step-by-step explanation:
can someone help me please?
Answer:
(10,11)
(8,7)
(6,3)
(4,-1)
(2,-5)
(0,-9)
(-2,-13)
(-4,-17)
Answer: the image of how its supposed to be graphed is listed down below! hope this helped!
Step-by-step explanation:
The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function if a special case of the graph of an equation.
A school newspaper took a survey of 100 students. The results of the survey showed that 43 students are
fans of the Buffalo Bills, 27 students are fans of the New York Jets, and 48 students do not like either
team. How many of the students surveyed are fans of both th
Identify the x and y intercept.
A. x intercept: (2,0) y intercept: (0,-3)
B. x intercept: (-3,0) y intercept: (0,2)
C. x intercept: (2-3) y intercept: (2,-3)
D. x intercept: (2,-3) y intercept: (-3,2)
Answer:
Bro write the question better
Step-by-step explanation:
In July 2008, a wildfire near Yosemite
National Park burned about 53 square
miles of forest. If one square mile equals
640 acres, about how many acres of
forest were burned?
Plzz help me its is math
Answer:
A
Step-by-step explanation:
Whenever you square a real number, the result will always be positive, because even if you are squaring a negative number a negative times a negative is a positive. However, when you cube a negative number, the result CAN be negative, because you are multiplying a negative number by itself three times. Therefore, the answer is only A. Hope this helps!
Please i need help my homework is really hard
.
Answer:
f' (n)=9
Step-by-step explanation:
is this what you were looking for?
(Question) Write to Explain; Shauna evaluated the expression 9 - 6 + (12/3) *2 and got the answer 4 is she correct? Why or why not?
And if this helps I'll add the screenshot I took of it.
Why is she not correct or Why is she correct.
the answer is, no.. she is not correct.
she solved the equation/question incorrectly.
why? Shauna subtracted 9 - 12/3 = 5
she multiplied 5 and 2 = 10
then subtracted by 6.
so she got 4.
but, this how you do it.
subtract 9 and 6, equaling 3.
12/3 x 2= 8
add 8 and 3, which equals 11.
the correct answer is 11!
A train moves at a constant speed of 8 miles every 6 minutes. How far will the train in 3 minutes, 15 minutes, and 60 minutes.
Answer: If the train moves a constant speed of 8 miles for every 6 minutes then if the time where to be 3 minutes you would have to divided 2 and 8 because the time was split in half you would also have to split the 8 as well. Now if the time was 15 minutes you would have to add more since 6 got 9 more you will have to add 9 more to 8.
6 minutes = 8 miles
3 minutes = 4 miles
15 minutes = 17 miles
Hope this helps you :3.
The train will move 4 miles, 20 miles and 80 miles in 3 minutes, 15 minutes and 60 minutes respectively.
What is multiplication?Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.
Example - 2 × 3 means 2 is added three times or 3 is added 2 times.
Given, a train moves at a constant speed of 8 miles every 6 minutes.
That means in one minute,
= total number of miles / total time taken
= 8 /6
= 4/3 miles
Now, for 3 minutes means 3 times 4/3
= 3 x 4/3
= 4 miles
For 15 minutes,
= 15 x 4/3
= 20 miles
For 60 minute
= 60 x 4/3
= 80 miles.
Therefore, the train will move 4 miles, 20 miles and 80 miles in 3 minutes, 15 minutes and 60 minutes respectively.
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I need an answer quick!!!!
Answer:
investment 2 $400 Simple Interest Rate
Step-by-step explanation:
X = ________ ft. (No guessing please)
Answer:
x=12
Step-by-step explanation:
12(x+8)= 8(30)
Distribute
12x+ 96= 240
Subtract 96 on both sides
12x= 144
Divide 12 on both sides
x=12
A parabola has a vertex at (3, -2). What is the axis of symmetry? x = _____
-2
3
-3
2
Answer:
x =3
Step-by-step explanation:
The axis of symmetry is at the vertex
The x coordinate gives the axis of symmetry
x =3
Answer:
x = 3.
Step-by-step explanation:
The equation of the parabola is
f(x) = a(x - 3)^2 - 2 where the vertex is (3, -2).
The axis of symmetry passes though x = 3