Answer:
B = 42.9°
C = 87.1°
c = 7.4
Step-by-step explanation:
In this problem we are given two sides and one angle of a triangle ABC. The given values are:
a = 9
b = 8
A = 50°
In this case, there wil be only one solution, because the side opposite the given angle (side a) is longer than side b that was also given.
Calculating, let's the the law of sines.
[tex] \frac{sin A}{a} = \frac{sin B}{b} = \frac{sin C}{c} [/tex]
[tex] \frac{sin 50}{9} = \frac{sin B}{8} = \frac{sin C}{c} [/tex]
Taking for A & B, we have:
[tex] \frac{sin 50}{9} = \frac{sin B}{8} [/tex]
Let's cross multiply
(sin 50°)(8) = 9 sinB
Solving further,
[tex]sin B = \frac{8 sin 50}{9}[/tex]
[tex] sin B = \frac{6.128}{9}[/tex]
[tex] B =sin^-^1(0.68)[/tex]
B = 42.9°
Since the total angle of a triangle is 180°, to find C, we have:
C = 180 - 50 - 42.9
C = 87.1°
To find the length of c, let's also use the sine formula.
[tex]\frac{sin B}{b} = \frac{sin C}{c} [/tex]
[tex]\frac{sin 42.9}{8} = \frac{87.1}{c} [/tex]
Cross multiplying
8c = 87.1 sin 42.9
[tex] c = \frac{87.1 sin42.9}{8} [/tex]
c = 7.4
help please now
The table below shows data from a random survey of juice preferences.
Types of Juice Number of People
Orange --------- 75
Apple --------- 110
Kale ---------- 65
Part A
Complete the probability model by listing the probabilities for each event based on the data recorded in the table.
S = { O, A, K}
Events ------------ Probabilities
Prefer orange ----- P(orange)= __ %
Prefer apple ------ P(apple)= __ %
Prefer kale -------- P(kale)= __ %
Part B
Based on the data, estimate how many of 400 juice drinkers will prefer apple juice.
The number of juice drinkers who prefer apple juice is __
Answer:
Part A
30
44
26
Part B
176
Step-by-step explanation:
Total: 65+110+75 = 250
P(O) = 75/250 × 100 = 30%
P(A) = 110/250 × 100 = 44%
P(K) = 65/250 × 100 = 26%
Apple juice:
44% of 400
44/100 × 400
176
Find the volume of the prism.
Answer:
120000000
Step-by-step explanation:
Depending on the particular body, there is a different formula and different required information you need to calculate its volume. Below are volume formulas for the most common types of geometric bodies - all of which are supported by our online volume calculator above. All measures need to be in the same unit. The result is always in cubic units: cubic centimeters, cubic inches, cubic meters, cubic feet, cubic yards, etc.
Volume calculations are useful in a lot of sciences, in construction work and planning, in cargo shipping, in climate control (e.g. air conditioning calculations), swimming pool management, and more.
Can you help me again pleaseee
Answer:
Take a picture of the graph too
Step-by-step explanation:
From the numbers 1, 2, 3, 4, 5, what is the probability of choosing an even number at random?
Answer:
2/5
Step-by-step explanation:
There are only 2 even number in the set out of 5 numbers.
The probability of selection even number at random is 2/5.
What is probability?
Probability is possibility that deals with "occurrence of random event at a time".
According to the question,
From the numbers 1,2,3,4,5
Number of sample space = 5
Number of even numbers = 2
Probability of an event = [tex]\frac{sum of favorable events}{Total number of events}[/tex]
In order to find probability of selection even number at random:
=2/5.
Hence, the probability of selection even number at random is 2/5.
Learn more about probability here
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What is the value of x?
16
34
HELP PLEASEEEEEEE
SOLVE FOR VOLUME
Answer:
volume = area of triangle * height = 12.124355653*14/2 * 20 = 1697.40 m3
Step-by-step explanation:
the triangle is equilateral triangle ->
a^2 = 14^2 - 7^2 = 147
-> a = 12.124355653
volume = area of triangle * height = 12.124355653*14/2 * 20 = 1697.40 m3
Answer:
[tex]196meters^2[/tex]
Step-by-step explanation:
The formula for the area of a triangle is : [tex]\frac{base*height}{2}[/tex]
To work this out you would first have to work out the area of the triangle. You can do this by multiplying the base of 14 by the height of 14, this gives you 196.
The next step is to divide the answer of 196 by 2, this gives you 98. This is because the formula is the same as that for the area of a square and that a triangle would be half of a square with the same dimensions.
The final step is to multiply 98 by the length of 20, this gives you 1960 meters cubed.
1) Multiply 14 by 14.
[tex]14*14=196[/tex]
2) Divide 196 by 2.
[tex]196/2=98[/tex]
3) Multiply 98 by 20.
[tex]98*20=196meters^2[/tex]
How many solutions does this system have?
2x+3y=-3
3x+6y=-9
one
two
an infinite number
no solution
Step-by-step explanation:
I think the answer is one
Each spinner below is spun. Find the probability.
P(A and 2)
A. 4/15
C. 1/15
B. 1/17
D. 9/23
Answer: the answer is B1/17
Step-by-step explanation:
Find the value of x and y. Will mark brainliest.
Answer:
y=3, x=5
Step-by-step explanation:
18=6y, so divide both sides by 6 to get 3=y.
45=9x, so divide both sides by 9 to get x=5.
Answer:
x=5 y =3
Step-by-step explanation:
Opposite interrior angles have the same Number of degrees. So 9x=45. X has to be 5. y = 3 because 3 times 6 is 18. Which is the same number as the opposite vertical side.
The table and the graph below each show a different relationship between the same two variables, x and y:
How much more would the value of y be on the graph than its value in the table when x = 12?
A. 20
B. 90
C. 150
D. 180
Answer:
The answer is A.
Step-by-step explanation:
thats what i think
find the value of (27)^2/3
Answer:
9
Step-by-step explanation:
27 = 3³
27^⅔
3³^⅔
3^(3×2/3)
3²
9
What is this number in standard form?
(7×100)+(4×1100)+(8×11,000)
Answer:
Step-by-step explanation:
factor out 100
100[7 + (4 * 11) + (8 * 110)]
100[7 + 44 + 880]
100 (931)
= 93100
standard form is 9.31 * 10^4
The standard form for the number (7×100)+(4×1100)+(8×11,000) is, 9.31×10⁴
What is the standard form of a number?The standard form for a number is a method by which we write number in a format like b×10ˣ. The value of b should be in between 0 to 10.
Given Number,
⇒ (7×100)+(4×1100)+(8×11,000)
by taking 100 common from all the three terms,
⇒ 100[ 7+ (4×11) + (8×110) ]
⇒ 100[7+44+880]
⇒ 100×931
⇒ 9.31×10⁴
Hence, The number can be written as, 1.39×10⁴
To know more about Standard from check:
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How many triangles exist with the given angle measures?
Answer:
The answer would be one triangle. it is only one triangle because the sum of the angles of any triangle have to equal 180°. So if you add all of the angles you gave us, that would equal 180°.
I hope that was the answer you were looking for.
Step-by-step explanation:
Bobby has 3 hats, 5 shirts, 10 pairs of pants, and 6 pairs of shoes, how many different outfits does Bobby have?
Answer:
900
Step-by-step explanation:
3*5*10*6=900
PLEASE HELP...SOLVE FOR VOLUME
Answer:
to get volume you have to do this base x height
Step-by-step explanation:
12 x 8 is 96 that the base
next base times height which is 1996.8 however since the shape is a triangle and not a square you have to divide by 2 so the answer is 998.4 m^2
Answer:
volume = 12* 19.2*8/2 = 921.6 m3
Step-by-step explanation:
20.8^ 2 - 8^ 2 = a^2 = 19.2^ 2
volume = 12* 19.2*8/2 = 921.6
PLEASE HEP ASAP!! BRAINLIEST
What is the scale factor for this dilation? Show your work!
Answer:
2/3
Step-by-step explanation:
Distance MS = √[(6-(-3))²+(3-3)²]= 9
Distance M'S' = √[(4-(-2))²+(2-2)²] =6
scale factor = |M'S'| /|MS|= 6/9 = 2/3
What kind of sequence is this?
43, 86, 172, 344, ...
arithmetic
geometric
both
neither
Answer:
Geometric Sequence
Step-by-step explanation:
Hope this helps! Have a nice day!
Answer:
aa
Step-by-step explanation:
aa
A bag holds 10 blue marbles, 2 white marbles, and 8 red marbles. Without looking into the bag, William selects a marble and then returns it to the bag. If he selects 2 marbles in this way, what is the probability that both will be blue?
A.10%
B.25%
C.50%
D.75%
Answer: C
Step-by-step explanation:
Because 8 + 2 = 10 and that is half and blue is the other half so it’s 50%
Which of the following has contributed to flooding in India?
I. India receives an excessive amount of rainfall.
II. India's coastal regions experience many cyclones.
III. India's deforestation makes it harder for soil to absorb water.
CA
II and III
B. Tand III
OC. I and II
D. I, II, and Ill
Answer:
| and ||
Step-by-step explanation:
Answer:
The answer is I, II, and III
Step-by-step explanation:
Please help with math picture below
Answer:
28,099.31-x= 11,135.21 => x=28,099.31 - 11,135.21 = 16964.1
Step-by-step explanation:
A square picture frame encloses an area of 29 square inches. Its owner claims that the frame sides are between 5.25 and 5.35 inches long. Is the owner correct? Why or why not?
Side length = ______ inches
Answer:34.2479 inches
Step-by-step explanation:
Help please. If I get the answer right you will get brainliest
Answer:
x [tex]\geq[/tex] -4
Step-by-step explanation:
-7x+13≥41
-13 -13
-7x ≥ 28
-7 -7
x ≥ -4
The floor of a rectangular shelf has a length 5 feet greater than its width. James will increase both dimensions of the shelf by 3 feet. As an expression, how much more is the new area compared to the original area of the floor of the shelf?
Answer:
area of shelf=x*x+5=x²+5x
new area=x+3*x+8=x²+11x+24
the new area is 6x+24 more than original
Step-by-step explanation:
hope this helps
A laptop is in the shape of a rectangular prism. The laptop has a length of 14 inches, a width 10 inches, and a height of 1 inch. Eryday it's the volume of the laptop?
Answer: Volume is 140
Step-by-step explanation:
The length of a rectangle is 1 foot less than twice the width. If the area is 45 ft2, find the length and width.
Question 13 options:
A)
Width = 9∕2, length = 10
B)
Width = 4, length = 7
C)
Width = 9, length = 10
D)
Width = 5, length = 9
Answer:
i think a its closest to 45 and ft 2
Step-by-step explanation:
Can anyone help me out with number one?
Answer:
[tex]232 cm^{2}[/tex] (B.)
Step-by-step explanation:
Don't overwhelm yourself. Take a deep breath and look at the triangle that has the height of 14 cm.
Recall that the area of a triangle is A= 1/2bh
The base of the triangle is 8 cm, if you eyeball it with the square. The height is given as 14.
1/2 (14)(8)
= 56 cm^2 x 2
= 112 cm^2
Great! We found two of the triangles (there are two of these, look at the paper)
Now let's take a look at the second triangle with the height of 12 cm.
Eyeball the base, which is 6 cm from the square in the middle.
1/2 (6)(12)
= 36 x 2
= 72 cm^2 (there are two of these triangles)
The easy part comes. The area of a square is simply
A= bh
= (6)(8)
= 48 cm^2.
ADD 'EM UP
48 + 72 + 112
= 232 cm^2
Answer:
B) 232
Step-by-step explanation:
Do 14 x 8 to find the top and bottom triangle. 112. Then do 12 x 6 to find the left and right triangle. 72. The find the area of the rectangle 6 x 8 = 48. Add up all the answers. 112 + 72 + 48 = 232 is the answer.
I will mark brainliest but I am in a hurry
What is the solution to the equation x/6 =4/12?
x = 1
x = 2
x = 4
x = 6
Answer:
X=2
Step-by-step explanation:
12 divided by 6 is two, cut 4 in half it's 2
HELP PLZZZ
I DONT UNDERSTAND THIS IK IK IM DUMB
Answer:
radius r = 8 ft
volume V = 2144.66058 ft³
surface area A = 804.247719 ft²
circumference C = 50.2654825 ft
Step-by-step explanation:
Answer:
2 144.7 ft³
Step-by-step explanation:
So the diameter of this sphere is 16ft.
The equation of the volume of a sphere is [tex]\frac{4}{3}[/tex]πr³.
r is the radius which is half of the diameter. So half of 16 is 8.
Now all you have to do is the equation 4 x π x (8)³ divided by 3.
That should equal 2 144.7 ft³
Given a cylinder with a surface area of 2532 cm (squared) and radius of 9 cm, calculate the height of this cylinder to the nearest tenth.
A. 36 cm
B. 282.6 cm
C. 45
D. 10
Answer:
A. 36.4cm = h
Step-by-step explanation:
A=2πrh+2πr² This is the equation to find the surface area of a cylinder
2532 = 2π(9)h + 2π(9)² Multiply
2532 = 18πh + 2π(81) Multiply
2532 = 56.55h + 162π Multiply
2532 = 56.55h + 508.94
-508.94 - 508.94 Subtract 508.94 from both sides
2023.06 = 56.55h Divide both sides by 56.55
36.4cm = h
If this answer is correct, please make me Brainliest!
find the output, y, when the input, x, is -7
Answer:
y = -6
Step-by-step explanation:
We want to find the y value on the graph when x = -7
Got to x = -7 and find the value of the blue line
y = -6
Answer: y = 4
Step-by-step explanation: We should look for the point on the graph whose x-coordinate is 7.
The point on the graph whose x-coordinate is 7 is the point (7,4). When the input is 7, the output is 4.
Hint #33 / 3
When the input is 777, the output is 444.
