In the diagram, the measure of angle R is 53°
Law of sinesFrom the question, we are to determine the measure of angle R
Using the law of sines, we can write that
[tex]\frac{sin R}{r} =\frac{sin S}{s}[/tex]
In the given diagram,
r = 30
S = 69°
s = 35
Thus,
[tex]\frac{sin R}{30} =\frac{sin 69^\circ}{35}[/tex]
[tex]sin R =\frac{30 \times sin 69^\circ}{35}[/tex]
sin R = 0.8002
R = sin⁻¹(0.8002)
R = 53.149°
R ≈ 53°
Hence, the measure of angle R is 53°
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6x + 2y = 12
5x + 2y = 8
Answer:
I searched it up and took a screenshot
Step-by-step explanation:
Here they are:
Btw the 1st one is for 6x + 2y = 12 and the second one is for 5x + 2y = 8.
Hope this helps! : )
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
(PLEASE HELP)
Which of these statements about George’s integer must be true?
Answer:
Answer A is the correct answer.
Harper’s parents put $75 into her school lunch money account. Each meal she gets from school costs her $3.25. The school sends Harper’s parent’s an email when the balance reaches $19.75. Let m be the number of meals Harper has bought when they get the email. Set up and solve an equation to find the value of m.
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
How many inches are in 2 yards, 3 feet?
Answer:
3 feet = 36 inches
2 yards = 72 inches
Add them together to get:
108
8, 9, 3, 9, 3, 8, 4,4
1)
Mean
Median
Mode
Range
Step-by-step explanation:
the mean is simply
8+9+3+9+3+8+4+4=48
48/8=6
mean= 6
the median is simply
3,3,4,4,8,8,9,9
4+8=12÷2=6
median=6
the mode is simply(I'm not sure of this answer)
3,4,8,9
the range is
9-3= 6
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
Students got to choose what game they wanted to play in gym class. The ratio of people wanting to play kickball to dodgeball was 7:5. what percent of the students wanted to plau dodgeball? (round to the nearest percent)
Answer:
7%
Step-by-step explanation:
Because the ratio was 7 to 5 which means 7 people wanted to play kickball and 5 percent wanted to play dodgeball
solve it please, (√9 + √9) ASAP
Answer:
6
Step-by-step explanation:
(sqrt(9)+sqrt(9))
3+3
6
Answer:
6 is the answer.
Step-by-step explanation:
(√9 + √9) = ?
→ √9 + √9
→ 3 + 3 = 6
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?
HELP ON THIS PLEASE GUYS :(
you have a brain, do it yourself
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:
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.
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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
the perimeter of a rectangle is 24 cm. if the length is y cm, what is the width?
If PQRS is a parallelogram, what is the value of y?
O A. 44
B. 60
C. 52
O D. 26
O E. 48
O F. Cannot be determined
Answer:
C. 52
Step-by-step explanation:
If this is a parallelogram then sides PS and QR must have the same length. If PS is 13 then 1/4y must equal 13. 1/4 of 52 is 13 meaning y must equal 52.
Answer:
52 is right
Step-by-step explanation:
Hello I need help../ Why was madame cj walker was proud of her daughter?
I need help
plzzz
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:
A circle with an area of 8pi square centimeters is dilated so that its image has an area
of 32pi square centimeters. What is the scale factor of the dilation?
A.2
B. 4
C. 8
D. 16
Answer:
scale factor = length of image
corresponding length of object
= 32
8
= 4
The scale factor of the dilation of the given object is 4.
What is scale factor of dilation?The scale factor of dilation of an object is determined by taking the ratio of image length to corresponding object length.
The scale factor of the dilation of the object is calculated as follows;
[tex]S.D = \frac{32\pi \ cm^2}{8\pi \ cm^2} \\\\S.D = 4[/tex]
Thus, the scale factor of the dilation of the given object is 4.
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A jar contains 18 marbles that are all the same size. It contains 7 purple, 3 green, and 8 orange marble. What is the probability of picking a green marble? Type your probability as a fraction in the simplest form.
Answer:
1/6
Step-by-step explanation:
3 out of 18 marbles are green. 3/18 can be reduced to 1/6 because both 3 and 18 are divisible by 3.
3/3=1
18/3=6
1/6
The probability of picking a green marble is 1/6.
To find the probability of picking a green marble, we need to consider the total number of marbles and the number of green marbles in the jar. The jar contains a total of 18 marbles, and out of these, there are 3 green marbles.
The probability of an event happening is calculated by dividing the number of favorable outcomes (in this case, the number of green marbles) by the total number of possible outcomes (the total number of marbles in the jar).
So, the probability of picking a green marble can be written as:
P(green marble) = Number of green marbles / Total number of marbles
Substituting the values, we get: P(green marble) = 3 / 18
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3. Dividing both 3 and 18 by 3, we get: P(green marble) = 1 / 6
Therefore, the probability of picking a green marble from the jar is 1/6. This means that if you randomly pick a marble from the jar, there is a 1 in 6 chance that it will be green.
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someone give me the rest of the answers please
A container of water is heated to 100°C. At this temperature, what will happen to the water
Answer: The water will start to boil.
Step-by-step explanation: Water boils at 100 C.
Answer:
I will boil I hope this answer was good!
Solve the equation 5y – 7x = 7 for y. 7 7 Oy x+ o y = 35x + 35 Оу — als 7 5 o y= 35 – 35x
Answer:
1st option
Step-by-step explanation:
Given
5y - 7x = 7 ( add 7x to both sides )
5y = 7x + 7 ( divide the terms by 5 )
y = [tex]\frac{7}{5}[/tex] x + [tex]\frac{7}{5}[/tex]
Plsssss helppppppp how do u do thissssss
I WILL GIVE 43 POINTSSS
Hello! answer: 276
I dont know for sure though cause the model looks different from what I've seen before so answer at your own risk but I'm pretty sure this is right Hope that helps!
Ok so what I did was base × height for the rectangles because thats the formula for those those I got 70 for both the left and right the left isn't showing but I'm assuming its there its 70 for both because 14 × 5 = 70 then for the bottom is 112 because 14 × 8 = 112 then the two triangles are 12 each because 8 × 3 = 24 then divide by 2 because thats what you do for triangles then I just add all these numbers up so... 70 + 70 + 112 + 12 + 12 = 276
Amelia volunteers at her town's animal shelter. Every day, she puts out 10 ounces of food for each of the 8 dogs. If dog food comes in 25-pound bags, how many days will one bag of dog food last?
Answer:
5 days
Step-by-step explanation:
dogs, combined, eat 80 ounches of food daily
there are 16 ounces in one pound so there are 25x16, or 400 ounces, in a 25-pound bag
400/80 = 5
25-pound bag would last 5 days
One bag of dog food volunteered by Amelia, Which have quantity of 25 pounds will last for 5 days.
What is ratio?
Ratio is mathematical term, which we use for comparing two or more terms. basically it indicates that how much big or small is number in compared to another.
Given that,
Every day, Amelia puts out 10 ounces of food for each of the 8 dogs.
Dog food comes in 25-pound bags.
And it is know that,
1 pound = 16 ounce;
so by that way it can state that,
Dog food for 25-pound bag will be equal to;
25*16
400 ounce.
Everyday requirement of dog food is 8*10 = 80 ounce/day
Number of days food will last= Available quantity/Everyday requirement
Number of days food will last= 400/80
Number of days food will last= 5 days
Hence, One bag of food will be enough for 5 days.
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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°
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
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:
5. A 50-inch piece of wire is bent into the shape of a rectangle. Find the dimensions of the rectangle
of maximum area that can be formed from the wire,
Answer:
length = 12.5 in, width = 12.5 in, Area = 156.25 in²
Step-by-step explanation:
To get the maximum area, the wire can be shaped into a square. We can say that the length and width of the rectangle must be equal to each other, and call this value "x".
Therefore, we can write an equation for the perimeter:
2x + 2x = 50 4x = 50 x = 12.5The area of the rectangle is calculated using the formula:
A = lwOr in our case, the area of the rectangle is the area of a square:
A = x²Substitute x = 12.5 into this equation.
A = (12.5)² A = 156.25The maximum area that can be formed from the wire is 156.25 in², and the dimensions of the rectangle are 12.5 x 12.5 in.