please help me if you can thank you.
Answer:
X. 120 Y. 30 Z. 36.5
Step-by-step explanation:
X. 360-107-133= 120
Y. Length of AB is equal to 120, so angles y and C are equal to 60. 60/2= 30
Z. 133+ 30= 163. 180-163= 17. Angle A and Z equal to 53.5. 53.5-17= 36.5
Prove
that BUGS is a trapezoid with coordinates B(-2,-1), U(0,3), G(3,2) and S(4,-3).
Answer:
Proved
Step-by-step explanation:
Given
[tex]B =(-2,-1)[/tex]
[tex]U = (0,3)[/tex]
[tex]G = (3,2)[/tex]
[tex]S = (4,-3)[/tex]
Required
Prove BUGS is a trapezoid
Given the coordinates, to prove a trapezoid; all we need to do is to check if one pair of sides is parallel.
Taking BU and GS as a pair
First, we calculate the slope using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
For BU
[tex]B =(-2,-1)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]U = (0,3)[/tex] --- [tex](x_2,y_2)[/tex]
So, we have:
[tex]m = \frac{3 - -1}{0- -2}[/tex]
[tex]m = \frac{4}{2}[/tex]
[tex]m = 2[/tex]
For GS
[tex]G = (3,2)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]S = (4,-3)[/tex] --- [tex](x_2,y_2)[/tex]
So, we have:
[tex]m = \frac{-3-2}{4-3}[/tex]
[tex]m = \frac{-5}{1}[/tex]
[tex]m = -5[/tex]
The slope of BU and GS are not the same; hence, they are not parallel.
Taking BS and GU as a pair
Calculate the slope
For BS
[tex]B =(-2,-1)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]S = (4,-3)[/tex] --- [tex](x_2,y_2)[/tex]
So, we have:
[tex]m = \frac{-3 - -1}{4- -2}[/tex]
[tex]m = \frac{-2}{6}[/tex]
[tex]m = -\frac{1}{3}[/tex]
For GU
[tex]G = (3,2)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]U = (0,3)[/tex] --- [tex](x_2,y_2)[/tex]
So, we have:
[tex]m = \frac{3-2}{0-3}[/tex]
[tex]m = \frac{1}{-3}[/tex]
[tex]m = -\frac{1}{3}[/tex]
The slope of BS and GU are the same; hence, they are parallel.
BUGS is a trapezoid because BS and GU have the same slope
The cone has a base diameter of 20cm and a slant height of 25 cm.
A circle is drawn around the surface of the cone at a slant height of 10cm above the base.
The curved surface of the cone above the circle is painted grey.
Work out the area of the curved surface of the cone that is not painted grey,
Give your answer as a multiple of
You must show all your working.
Answer:
The area of the cone not painted is approximately 196.35 cm²
Step-by-step explanation:
The question relates to similar shapes;
We have;
The base diameter of the cone, D₁ = 20 cm
The slant height of the cone, l₁ = 25 cm
The height at which the circle is drawn, 10 cm above the base, we have; l₂ = 25 cm - 10 cm = 15 cm
Let 'x' represent the diameter of the circle formed by the drawn circle, we have;
By similar triangles, we get;
D₁/l₁ = x/l₂
x = l₂ × D₁/l₁
20/25 = x/15
x = (20/25) × 15 = 12
The curved surface area of the cone, A = π·r·l
The area of the curved surface of the entire cone, A₁ = π·r₁·l₁
r₁ = D₁/2
Therefore, we get, A₁ = π × 20/2 × 25 = 250·π
A₂ = π × 15/2 × 25 = 187.5·π
The area of the cone not painted, A = A₁ - A₂
∴ A = 250·π - 187.5·π = 62.5·π
The area of the cone not painted, A = 62.5·π ≈ 196.35
The area of the cone not painted ≈ 196.35 cm²
HELP PLEASE QUICKLY!!! NO LINKS PLSS!!
1. The garden of the hotel has a certain shape as seen in the figure below. Teresa wants to plant roses in that garden The diagram shows the shape and dimensions of Teresa’s rose garden.
a. Find the area of the garden.
b. Teresa wants to buy mulch for her garden. One bag of mulch covers 12 square feet. How many bags will she need?
Your 6 and 2/3 year investment of $1,450 at 5.4% compounded monthly brought you a grand total of?
Answer:
$2,003.38
Step-by-step explanation:
in comparison to 1/3 where would 2/6 be located on a number line
Answer:
The same place as 1/3
Step-by-step explanation:
image for more context
PLZZZ GIVE ME BRAINLIEST
What is the y-coordinate of the solution of the system?
4x−y=−21
y = x + 6
Enter your answer in the box.
Answer:
x= -13, y= -7
Step-by-step explanation:
Kim rode her bicycle 135 miles in 9 weeks, riding the same distance each week. Eric rode his bicycle 102 miles in 6 weeks, riding the same distance each week. Which statement correctly compares the number of miles per week they rode?
A - Eric rode 222 more miles per week than Kim rode.
B - Kim rode 333 more miles per week than Eric rode.
C - Kim rode 111111 more miles per week than Eric rode.
D - Eric rode 171717 more miles per week than Kim rode.
Answer:
Eric rode 2 more miles per week than Kim rode.
Step-by-step explanation:
Find how many miles per week Kim rode by dividing the number of miles she rode by the number of weeks:
135/9
= 15
Find how many miles per week Eric rode:
102/6
= 17
So, Kim rode 15 miles per week and Eric rode 17 miles per week.
The answer is Eric rode 2 more miles per week than Kim rode.
Answer:
A.
Step-by-step explanation:
Please help me, I need help
Answer:
x:5⁰
y:52⁰
Step-by-step explanation:
triangle:180⁰
the triangleis isoceles triangle so y:52⁰
so B is 72⁰
(14x+6)⁰=(14(5)+6)⁰=72⁰
In science class we discovered that 7/8 of an apple is water.What fraction of the apple is not water?
Answer:
1/8
Hope this helps
HELP ON THIS PLEASE GUYS :(
you have a brain, do it yourself
A circular flower bed is 24 m in diameter and has a circular sidewalk around it 3 m wide. Find the area of the sidewalk in square meters
Answer:
120.105m^2
Step-by-step explanation:
Given data
Diameter of circular bed= 24+3m = 27m
radius= 27/2= 13.5 m
Diameter of side walk = 12
radius= 24= 12 m
Hence the area of the sidewalk is
Area= area of circular bed- area of side walk
Area=πR^2-πr^2
Area=π(R^2-r^2)
Area=π(13.5^2-12^2)
Area= 3.14(182.25-144)
Area= 3.14(38.25)
Area=120.105m^2
Hence the area of the side walk is 120.105m^2
To the nearest cent, what is the ,begin emphasis,mean,end emphasis, weekly income of these employees?
Answer options with 4 options
A.$115.64
B.$138.05
C.$140.23
D.$157.38
Answer:
I think b?
Step-by-step explanation:
Answer:
157.38
Step-by-step explanation:
if you add all those numbers you will get 1888.59/12= 157.38
What are the coordinates of vertex D to complete the square ABCD?
les -)
A)
(3,6)
B)
(4,7)
C)
(7,3)
D
(7,4)
Where the above is square, the coordinates are: (4, 7). This is obtained by simply tracing the A-D in equal distance with B and C.
What are coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
A coordinate system is a framework for specifying the relative positions of objects in a specific region, such as an area on the earth's surface or the whole earth's surface. A geographic coordinate system determines locations on the world by using a three-dimensional spherical surface.
Learn more about square:
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Find the 9th term of the geometric sequence show below
-9x^4,27x^5,-81x^6
Answer:
Scale factor is -3
so,
243x^7
-729x^8
2187^9
ILL MARK YOU BRAINLEIST.
Finish each equation so that it has the correct solution or type of solutions:
3x + 4 = ______ no solutions
3x + 4 = ______ infinite solutions
3x + 4 = ______ solution is x = 4
3x + 4 = ______ solution is x = -3
3x + 4 = ______ solution is x = 1/2
Answer:
0
x
16
-5
5.5
Step-by-step explanation:
10x = 2x -8 what is this answer
Answer:
x=-1
Step-by-step explanation:
Answer:
10x = 2x -8
-2x -2x
8x = -8
divide by 8
x = -1
What is the perimeter of the rectangle? L2FwcGhvc3RpbmdfcHJvZC9ibG9icy9BRW5CMlVwWmJyVDFqTFkzLXZ2RUFuT1lPWVJPbWl0N0JKUVhrVnZZbnVOQ19tOGgtNmwwQm12SkdMcDVnOU1aLWVoNUV6UURRcC1GZHFqTE42NWVMdGNsazl6Y0FPc0RaS1RDV0E5XzRCeW5RT3Z4MjRMLXdscy4wcUhHUHlaNlREN0dYWVAt?W=400&h=400 a 20 units b 18 units c 24 units d 22 units
Answer:
just do 400 times 400 witch is 1600
Step-by-step explanation:
What are two numbers that has the product of 40 but has the sum of 13
Answer:
8 and 5
Step-by-step explanation:
Answer:
Step-by-step explanation:
What are the factors of 40? 8 * 5
8 + 5 = 13
To do it algebraically gives you a quadratic:
A + B = 13
AB = 40
A(13 - A) = 40
A2 - 13A + 40 = 0
(A - 8)(A - 5) = 0
A = 8 and B = 5
Hiiiooo! Can someone please help ❤️
Answer:
B. √21
Step-by-step explanation:
x^2 = √5 x √5 + 4 x 4
x^2 = 5 + 16
x^2 = 21
x = √21
Hope that helps! :)
-Aphrodite
Answer:
im not entirely sure but the equation for your hypotenuse (x) is [tex]\sqrt 5^{2} * 4^{2}[/tex]
which is 80 and the square root of 80 is 8.944 and that would be your hypotenuse
(i just realized that is completely wrong, sorry)
9. Todd takes out a student loan for $25,000. The annual simple interest
rate on the loan is 4.75%. How many years will it take for the interest on
the loan to reach $7,125?
Answer:6
Step-by-step explanation:
4.75% of 25000 is 1,187.5
Times 6 it's 7,125
What is the volume of the rectangular prism?
Height : 10 1/2 in.
Width : 2 3/4 in.
Length : 5 in.
Answer:
Step-by-step explanation:
volume=10 1/2 ×2 3/4 ×5
=21/2×11/4×5=1155/8=144 3/8 cubic inch
Pls Answer! Will give brainliest. Khanna earns a annual salary of $33,000. Her federal income tax bracket is 20%. She also must pay 7.65 % Social Security and Medicare taxes. She plans to deposit 15% of her net income into a savings account. Rounded to the nearest dollar how much will she save annually?
3203
3581
3960
4571
Answer: $3,581
Step-by-step explanation:
As she plans to save from her net income, we have to find the net income first:
= Net income - Federal taxes - Social and Medicare taxes
= 33,000 - (33,000 * 20%) - (33,000 * 7.65%)
= $23,875.50
The savings will be:
= Net income * Savings percentage
= 23,875.50 * 15%
= $3,581.325
= $3,581
the perimeter of a rectangle is 24 cm. if the length is y cm, what is the width?
Please help this is my last question no links please
Answer:
i will say the second one
Step-by-step explanation:
The sides of a triangle are x cm, (x - 1) cm and (x + 2) cm. IF the perimeter is 29 cm, then the SHORTEST side is
Answer:
8 1/3
Step-by-step explanation:
x+(x-1)+(x+2)=29
3x+1=29
3x=28
x=9 1/3
9 1/3-1= 8 1/3
Ava and Taha are staring up at a UFO. Ava is directly east of the UFO and Taha is directly west. Ava is 205 feet from the UFO and Taha is 195 feet from the UFO. Ava and Taha are 166 feet from each other. Find Ava's angle of elevation to the UFO in degrees.
Answer:
49.59°
Step-by-step explanation:
Using trigonometry, we can obtain AVA's angle of elevation to UFO
Using the relation :
Tanθ = opposite / Adjacent
Tan θ = 195 / 166
θ = tan⁻¹(195÷166)
= 49.59°
Combine like terms 3x+8b+7x+11+6b=
Answer:
10x+14b+11
Step-by-step explanation:
3x+8b+7x+11+6b
3x+7x+8b+6b+11 = Regroup them
10x+14b+11 = Combine like terms
The requried, 3x+8b+7x+11+6b simplifies to 10x + 14b + 11.
What is simplification?Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property
To combine like terms 3x+8b+7x+11+6b, we can add the coefficients of x, add the coefficients of b, and add the constant terms. So we have:
3x + 8b + 7x + 11 + 6b = (3x + 7x) + (8b + 6b) + 11
Combining the like terms:
= 10x + 14b + 11
Therefore, 3x+8b+7x+11+6b simplifies to 10x + 14b + 11.
Learn more about simplification here:
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You randomly choose one shirt from the shelves.
Find the probability of the event.
The probability of choosing an orange shirt is
Answer:
umm I don't know you have to tell me more and I can find out what it is
Mitch ate dinner at a restaurant. The bill came to $82. If he left an 18% tip, how much was the tip?
Answer:
14.76
Step-by-step explanation:
82 x .18 = 14 76 tip