Answer:
628.3 cm
Step-by-step explanation:
The window has a semicircle shape = half of a circle
Perimeter of the window = ½(πr²)
Radius (r) = 20 cm
Plug in the value
Perimeter of the window = ½(π*20²)
= ½(π*400)
Perimeter of the window = 628.31853 ≈ 628.3 cm (nearest tenth)
Find the focus of the parabola whose equation is y=1/8 x^2
Answer:
The focus is: [tex](0,2)[/tex]
Step-by-step explanation:
Given
[tex]y = \frac{1}{8}x^2[/tex]
Required
Determine the focus
The focus of a parabola
[tex](x- h)^2 = 4p(y - k)[/tex]
is:
[tex](h,k+p)[/tex]
So, we have:
[tex]y = \frac{1}{8}x^2[/tex]
Cross multiply
[tex]8y = x^2[/tex]
Rewrite as:
[tex]x^2 = 8y[/tex]
Rewrite as:
[tex](x - 0)^2 = 8(y - 0)[/tex]
Express 8 as 4 * 2
[tex](x - 0)^2 = 4 * 2(y - 0)[/tex]
By comparison with: [tex](x- h)^2 = 4p(y - k)[/tex]
[tex]h = 0[/tex] [tex]p =2[/tex] [tex]k = 0[/tex]
So, the focus [tex](h,k+p)[/tex] is:
[tex](h,k+p) = (0,0+2)[/tex]
[tex](h,k+p) = (0,2)[/tex]
PLEASE HELP !!!!!!!!!!
Answer:
154°
Step-by-step explanation:
EAB must equal 180°, so if you subtract 26 from that you get 154
Answer:154 !
Step-by-step explanation:
the answer would be 154
PLS HELP ASAP !!!!!!!!!!!!
Answer:
D-780 squared inches
Step-by-step explanation:
you multiply 2(l)(w)+2(l)(h)+2(w)(h)
Answer:
Last option 780.
Step-by-step explanation:
To get the surface area for this you will need to get the area of each square that you see is in the net version. Once you do that you add them all together. Here is the math. . .
(4*25)+(4*10)+(4*25)+(10*25)+(10*25)+(4*10) = 780 total surface area.
If this looks confusing just look at the net version of the rectangular prism and you can see there is a duplicate of the different dimension triangles. These areas would be (4*25), (4*10), (10*25). There are a total of 3 different size triangles and all of them have duplicates. So we just multiply everything by 2
(4*25)+ (4*10)+(10*25) = 390 now multiply that by 2 and you get 780 again.
Hope the explanation helps :)
A carpenter is designing rectangular picture frames to sell at a local craft fair. The frames will be made of wood with a uniform width around the picture, and each frame will have an opening for a 5-inch by 7-inch picture.
A jazz concert brought in $167,000 on the sale of 8,100 tickets. If the tickets sold for $15 and $25 each, how many of each type of ticket were sold?
Answer:
3,550 $15 tixkets and 4,550 $25 tickets were sold.
Step-by-step explanation:
15 × 3550=53250
25 × 4550=113750
53250+113750=167000
Quieres un chocolate?
Please help reply correctly in Spanish
Answer:
sí, (yo) quiero un chocolate
The mean of eight numbers is 41. The mean of two of the numbers is 29. What is the mean of the other six numbers
Answer:
45
Step-by-step explanation:
The mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
Given the mean of 8 numbers is 41 , then
[tex]\frac{sum}{8}[/tex] = 41 ( multiply both sides by 8 )
sum of 8 numbers = 328
Given the mean of 2 numbers is 29 , then
[tex]\frac{sum}{2}[/tex] = 29 ( multiply both sides by 2 )
sum of 2 numbers = 58
The sum of the remaining 6 numbers = 328 - 58 = 270 , so
mean = [tex]\frac{270}{6}[/tex] = 45
The mean of the other 6 numbers = 45
Find the surface area of the prism.
7 mm
4 mm
5 mm
Answer:
Since there are 2 sides, a front & back, and a top & bottom, you must find the surface area of each of those 3 surfaces and multiply by 2.
Step-by-step explanation:
The formula would be:
Top & Bottom - 5 × 4 (multiply by 2 for top AND bottom)
Front & Back - 5 × 7 (multiply by 2 for front AND back)
Sides - 4 × 7 (multiply by 2 for BOTH sides)
___________________________________________________
Once you find the 3 surface areas, add the areas all together for the total. (I did not show the answer because that is for you to do on your own.)
Ex. Top & Bottom + Front & Back + Sides
Answer:
166 is the answer.
PLEASE HELP WILL GIVE BRAINIEST
The answer would be D. hope this helps :))
A system of equations that had had no solution is called a(n) ______ system.
Answer:inconsistent
Step-by-step explanation:
there is no explanation its just vocab
PLEASE ANSWER! I don't understand this problem.
Answer:
The Domain is {3,2-1,0} Range {7,4,2}
Step-by-step explanation:
It is a function because there is one value of y for every x value.
Answer:
The Domain is: 3,2,-1,0.
The Range is: 7,4,2.
Step-by-step explanation:
The Domain is the first ones in the parentheses (x), and the range is the second ones in the parentheses (y).
What is the slope of the line in the graph?
Answer:
1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
We can find the slope by using two points
( -1,0) and (0,1)
m = (y2-y1)/(x2-x1)
= (1-0)/(0- -1)
= ( 1-0)/(0+1)
1/1
Find the perimeter of quadrilateral ABCD. Round to the nearest tenth.
Kite A B C D on a coordinate plane with coordinates A 3 comma 5, B 1 comma 3, C 3 comma negative 1, and D 5 comma 3.
11.3 units
14.6 units
17.4 units
56.0 units
Answer:
14.6 units
Step-by-step explanation:
AB = [tex]\sqrt{(1-3)^2+(3-5)^2}[/tex]
AB =[tex]\sqrt{8}[/tex]
BC = [tex]\sqrt{(3-1)^2+(-1-3)^2}=\sqrt{20}[/tex]
CD = [tex]\sqrt{(5-3)^2+(3-(-1))} = \sqrt{20}[/tex]
DA = [tex]\sqrt{(5-3)^2+(3-5)^2} = \sqrt{8}[/tex]
Primeter = [tex]\sqrt{8} + \sqrt{20} + \sqrt{20} +\sqrt{8} = 14.6[/tex]
Help me please I don’t understand
=========================================
Explanation:
The perimeter around the circle, aka circumference, is found through this formula
C = 2*pi*r
That's for a full circle. However, we're dealing with semicircles here, so we cut that in half to get pi*r to represent the curved distance around half the circle.
For the outer larger semicircle, that curved distance is exactly 14pi
For the inner smaller semicircle, that curved distance is 7pi, since 7 is half of 14.
The total curved portions is 14pi+7pi = 21pi
Then we add on the last straight line portion that's 14 cm long to get a total perimeter of 21pi+14
This is the exact perimeter in terms of pi.
The last thing to do is replace pi with 3.14 and simplify
21pi+14 = 21*3.14+14 = 79.94
This value rounds to 80
According to a study by the Alliance of American Insurers, it costs more than three times the original purchase price in parts and labor to reconstruct a wrecked Chevrolet. Explain the reasons for this large discrepancy in terms of the processes used to assemble the original car and those required to reconstruct the wrecked car.
Answer:
i dont know hun i am very sorry
Step-by-step explanation:
A journey between two towns, Pietermaritzburg and Durban, is exactly 90 km 3.1 Use a graph (with at least 5 different speeds in km/h) to model how variation in speed (x) over the journey causes variation in time taken (y) to complete the trip.
Answer:
Speed in km/hr Time in Minutes
90 60
45 120
30 180
15 360
10 540
time Decrease when speed increase
Number of times the speed is increased the number of times time taken is reduced so it is not possible to take no time at all
as we can see from the graph that it is exponential , reduction in time keep reducing with increase in speed
Step-by-step explanation:
Can someone please help me on exercise 1.6, #2 (a to e). *Will report any spam answers* Thank you!
As shown in the picture, I sent two pictures.
-6 - (-8) x 5 ÷ (-10)
Answer:
- 10
Step-by-step explanation:
-6+8×5÷-10
-6+40÷-10
-6-4
-10
Answer and Step-by-step explanation:
According to PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction),
First we multiply, then divide, then finally add/subtract.
-8 times 5 is -40.
-40 divided by -10 is 4.
-6 - 4 = -10
The answer to the expression is -10.
#teamtrees #PAW (Plant And Water)
Which of the following statments are true of the graph of the function f(x) = (x + 5)(x - 3). Select all that apply. pleaseee help this is due tonight!
A. The graph has a relative maximum
B. The graph has a relative minimum
C. The graph has a x-intercept at (5, 0)
D. The graph has a x-intercept at (3, 0)
E. The graph has a y-intercept at (0, -15)
F. The axis of symmetry is x = -2
Answer:
B, D, and E.
Step-by-step explanation:
We are given the graph:
[tex]f(x)=(x+5)(x-3)[/tex]
We can expand the equation into standard form:
[tex]f(x)=x^2+2x-15[/tex]
Since the leading coefficient is positive, our parabola curves up. Hence, it has a relative minimum.
The x-intercepts of a function is whenever y = 0. Hence:
[tex]0=(x+5)(x-3)[/tex]
Zero Product Property:
[tex]x+5=0\text{ or } x-3=0[/tex]
Solve:
[tex]x=-5\text{ or } x=3[/tex]
So, our x-intercepts are (-5, 0) and (3, 0).
The y-intercept occurs when x = 0. Hence:
[tex]f(0)=(0+5)(0-3)=-15[/tex]
So the y-intercept is (0, -15).
The axis of symmetry is given by:
[tex]\displaystyle x=-\frac{b}{2a}[/tex]
In this case, from standard form, a = 1, b = 2, and c = -15. Hence:
[tex]\displaystyle x=-\frac{2}{2(1)}=-1[/tex]
Our axis of symmetry is -1.
Therefore, the correct statements are B, D, and E.
In two half-lives, how much of a 400-gram sample of a radioactive element will remain un-decayed?
Answer:
100 grams
Step-by-step explanation:
1/2 * 1/2 = (1/2)² = 1/4
1/4 * 400 = 100
What is the answer to this??
Answer:
C
Step-by-step explanation:
What is the perimeter of ABC?
Perimeter = ___ units.
Answer:
12 units
Step-by-step explanation:
From the given figure,
AB=4 units & BC=3 units
By Pythagoras Theorem, [tex]AC^{2} = AB^{2} + BC^{2}[/tex]
Here, [tex]AC^{2} = 4^{2} + 3^{2}[/tex]
Thus, AC=5 units
Now, perimeter of triangle is equal to the sum of all sides.
Perimeter = AB + BC + AC = 4 + 3 + 5 = 12 units
Is f(x) = 2x²+4 reducible over z
Answer:
what is z ?
Step-by-step explanation:
A committee must be formed with 3 teachers and 3 students. If there are 10 teachers
to choose from, and 15 students, how many different ways could the committee be
made?
Answer:
54,600 ways
Step-by-step explanation:
i hope you understand this
Plsssss ans plssss plssss
Answer:
a 3² +4² = 25 the factors are 5²
b 8²+6²= 100 the factors are 5²and 2²
c 12²+5²= 169 the factors are 13²
d 8²+15²= 289 the factors are 17²
i need help please on this question
Look at the triangle below which of the following represents two of the angle measures of the triangle
Answer:
C. 60° and 80°
Step-by-step explanation:
Sum of triangle = 180°
Therefore,
8x + 4 + 6x - 2 + 10x + 10 = 180
Add like terms
8x + 6x + 10x + 4 - 2 + 10 = 180
24x + 12 = 180
24x = 180 - 12
24x = 168
x = 168/24
x = 7
Find each measure of the angles by substitute x = 7 into each expression
8x + 4 = 8(7) + 4 = 60°
6x - 2 = 6(7) - 2 = 40°
10x + 10 = 10(7) + 10 = 80°
The answer is 60° and 80°
I need help please wiil mark brainliest
9514 1404 393
Answer:
F ∪ H = [2, ∞)
F ∩ H = (6, ∞)
Step-by-step explanation:
Graphs of the two sets are shown in the attachment. Set F is shown in red; set H is shown in blue. The solid dot means the point is included in the set, equivalent to a square bracket in interval notation. The open dot means the point is not included in the set, equivalent to a round bracket (parenthesis) in interval notation.
F ∪ H
The union of two sets is the set that contains elements that are members of either set. Here, set F includes all of the elements of set H, so the union of the to sets is simply set F.
F∪H = F = [2, ∞)
__
F ∩ H
The intersection of two sets is the set of elements that are common to both sets. Here, every element of set H is also an element of set F, but not vice versa. So, the intersection of the sets is equivalent to set H.
F∩H = H = (6, ∞)
Find the dimensions of a cube with a
volume of 125 cubic cm. (Hint: Remember
that a cube has equal dimensions
because all the sides are squares.)
5) 63 peaches in 7 bowls
Rate :
Unit Rate :
6) 480 hours of work in 12 weeks
Rate :
Answer:
9 peaches per bowl
40 hours each week
Answer:
Your mom
Step-by-step explanation:
