Answer:
47.7° or 132.3°
Step-by-step explanation:
In A ABC, m B = 25°, b = 12 and c = 21. Find all possible mC to the
nearest degree.
We solve the above question using Laws of sines.
The formula is given as
b/sin B = c/sin C
b = 12
B = 25°
c = 21
C = ?
Hence:
12/sin 25 = 21/sin C
Cross Mulitiply
= 12 × sin C = sin 25 × 21
sin C = sin 25 × 21/12
C = arc sin (sin 25 × 21/12)
C = 47.7°
The second possible value of C =
180° - 47.7°
= 132.3°
Therefore, all the possible values of mC = 47.7° or 132.3°
Find the values of x and y. Write your answers in simplest form.
Answer:
To find X you'll need this formula Tan 30, and this one to find y cos 30.
Step-by-step explanation:
tan 30 = 9 / x.
tan 30*x = 9
x = 9 / tan 30
x = 15.58
To find y, the value of X will be needed, which is 15.5 that we just found.
Cos= A/H
Cos 30 = 15.58/ y
Cos 30 * y = 15.58
y = 15.58/ cos 20
y = 17.99
What is the surface area of the prism?
1.
5 in.
4 in.
5 in
Answer:
140
Step-by-step explanation:
Please help me with this i didn’t get the answer
The number of students in a book club is increasing 15% per year. If there were 21 students in the club in 2010, then how many were in the club in 2020? Please answer ASAP!!
The Answer is 63
Step-by-step explanation:
Please help!
A rectangular tabletop has an area of.......
[tex]t^2+2t-99[/tex]
What are the possible dimensions of the tabletop? Use factoring.
The order doesn't matter, so you could say "t+11 and t-9" to mean the same thing.
=======================================================
Explanation:
Think of two numbers that multiply to -99, but also add to 2. In other words, find two factors of -99 which add to 2. We'll use trial and error.
Here are all the ways to multiply to -99 using integers only:
1 and -993 and -339 and -1111 and -933 and -399 and -1Add up each factor pair to see which sum is equal to 2.
1 + (-99) = -983 + (-33) = -309 + (-11) = -211 + (-9) = 2 is what we want33 + (-3) = 3099 + (-1) = 98We can see that 11 and -9 are the two numbers we're after, so therefore, t^2+2t-99 factors to (t-9)(t+11). The order doesn't matter with the factor multiplication.
As a more efficient alternative method, you can use the quadratic formula to solve t^2+2t-99 = 0 to end up with t = 9 and t = -11. That would lead to the two equations t-9 = 0 and t+11 = 0. Applying the zero product property then gets us (t-9)(t+11) = 0.
To help show that (t-9)(t+11) becomes t^2+2t-99, you can use the FOIL rule to expand that factorization out. This is one way to verify the answer.
vertex of the graph of x^2 + 8x + 12=0
Answer:
Step-by-step explanation:
Hope this helps u!!
A marine biologist compared two large pools that could be used for a new dolphin training arena. Pool A held 2 x 10¹⁰ gallons, and pool B held 2 x 10⁸ gallons. How many times more gallons will the larger pool hold than the smaller pool?
O4
O 20
O 100
O 200
Answer:
20
Step-by-step explanation:
2 x 10 = 20
divided by 4 = 5
The larger pool will hold is 100 times more gallons than the smaller pool
What is capacity and measurement?From the question, we are to determine how many times more gallons the larger pool holds than the smaller pool
From the given information,
Capacity of the larger pool = 2 × 10¹⁰ gallons
Capacity of the smaller pool = 2 × 10⁸ gallons
To determine how many times more gallons the larger pool holds more than the smaller pool, we will simply divide the capacity of the larger pool by the capacity of the smaller pool
That is,
[tex]\frac{2 \times 10^{10} }{2 \times 10^{8}}[/tex]
= 10²
= 100
Hence, the larger pool will hold is 100 times more gallons than the smaller pool.
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HIYAAAAAAA I 'OPE YOUR ALL WELL THE PROBLEM IS THAT I STUGGLE WITH MATHS...
Trust me, you're not the only one who's bad at math. '-'
ALSO NEED HELP ON THIS ONE, ASAP!! (No links, thats all)
(20!!)
(05.01) Sammy is trying to determine how many triangles she can create out of a square grid that has a side of 12 inches. Use the image below to determine the area of the triangle and how many she can cut out.
A) The area of the triangle is 36 in2, so she can only create 2 triangles
B) The area of the triangle is 72 in2, so she can only create 2 triangles
C) The area of the triangle is 36 in2, so she can only create 4 triangles
D) The area of the triangle is 72 in2, so she can only create 4 triangles
The area of the triangle is 36 in², so she can create only 4 triangles.
A random sample of 500 women and 500 men who eamed degrees in science and engineering (S&E) were asked if they work
In an S&E occupation. The results of the survey are shown.
S&E Occupations Non-S&E Occupations Total
Women
76
424
500
Men
169
331
500
Total
245
755
1000
A person from the survey is randomly selected. What is the probability of each event below?
Drag tiles to the empty boxes to create your answers.
• The probability that a randomly selected person works in an S&E occupation is
• The probability that a randomly selected person is a woman and works in an S&E occupation is
• The probability that a randomly selected person is a woman or works in an S&E occupation is
76
245
500
669
745
Answer:
0.245 ; 0.76 ; 0.669
Step-by-step explanation:
Occupations S&E Non S &E Total {Gender wise}
Women 76 424 500
Men 169 331 500
Total {occupation wise} 245 755 1000 [Grand Total]
1) Probability (any person in S & E) = Total people in S & E / Total people = 245 / 1000 = 0.245
2) Prob (woman & works in S & E) , ie P (W ⋂ S) = Total women in S & E / Total people = 76 / 100 = 0.76
3) Prob (woman or works in S & E), ie P (W U S) = P( Women) + P (S & E) - Prob (Women & SE), ie P (W) + P (S &E) - P (W ⋂ S) = ( 500 + 245 - 76 ) / 1000 = 669 / 1000 = 0.669
The probability that a randomly selected person works in an S&E occupation is 0.245.
The probability that a randomly selected person is a woman and works in an S&E occupation is 0.12.
The probability that a randomly selected person is a woman or works in an S&E occupation is 0.745
What are the probabilities?
Probability determines the odds that an event would happen.
The probability that a randomly selected person works in an S&E occupation = total number of people that work in SE / total number of people= 245 / 1000 = 0.245.
The probability that a randomly selected person is a woman and works in an S&E occupation = (number of women / total number of people surveyed) x (number of people that work in SE / total number of people surveyed)
500 / 1000 x (245 / 1000) = 0.12
The probability that a randomly selected person is a woman or works in an S&E occupation = (number of women / total number of people surveyed) + (number of people that work in SE / total number of people surveyed)
= 500 / 1000 + (245 / 1000) = 0.745
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13. Based on the pattern, what are the next two terms of the sequence?
2, 7, 12, 17,...
A. 85, 425
B. 22, 425
C. 22, 27
D. 27, 32
Answer:
C. 22, 27
Step-by-step explanation:
Its adding +5
Answer:
The correct Answer is the letter C.
Step-by-step explanation:
The sequence shows adding 5 to the first number and continue to the next answer.
2 + 5 = 7
7 + 5 = 12
12 + 5 = 17
the next two terms are 22 and 27
17 + 5 = 22
22 + 5 = 27
HOPE IT HELPS
(FROM CROSS)
What’s the answer and how do you figure these out?
Find the area of a trapezoid with base 1 is 10 cm, base 2 is 12 and the height is 8
Answer:
88 sq cm
Step-by-step explanation:
A=(b1+b2) x H divided by 2
Consider a sphere with a volume of 36,000 π cubic centimeters.
Find the radius of the sphere. Be sure to use the correct unit in your answer.
Answer:
30 cm
Step-by-step explanation:
[tex]Vol. of a sphere (4/3) \pi r^3=36000 \pi \\r^3=36000*3/4=27000\\r=30 cm\\[/tex]
Qadaria is planting a flower garden in the shape of a right triangle in the back corner of her yard. The two sides shown are 7 feet and 8 feet. She would like to put a small fence around the garden, what is the approximate length, in feet, of the fence?
Answer:
first find the length of the hypotenuse,
a²+b²=c²
7²+8²=113
√113=10.63
perimeter=sum of all sides
10.63+7+8
=25.63
Some steps to rewrite the expression x3 − 16x + x2 − 16 as a product of three factors are shown below:
Step 1: x3 − 16x + x2 − 16
Step 2: x3 + x2 − 16x − 16
Step 3: x2(x + 1) − 16(x + 1)
Which of the following best shows the next two steps to rewrite the expression?
Step 4: (x2 + 16)(x + 1); Step 5: (x + 4)(x + 4)(x + 1)
Step 4: (x2 − 16)(x + 1); Step 5: (x + 4)(x + 4)(x + 1)
Step 4: (x2 − 16)(x + 1); Step 5: (x − 4)(x + 4)(x + 1)
Step 4: (x2 + 16)(x + 1); Step 5: (x − 4)(x + 4)(x + 1)
Answer:
third one
Step-by-step explanation:
the third one should be the answer
step 4 came out becoz of taking the common factor(x+1) and combining x2 and (-16)
Step 5 came out becoz of the theory of (a^2-b^2) = (a+b)(a-b)
ps 16 here is equal to 4^2
[Easy Points] Kanna Kamui sees 3 snowmen. Then he sees 2 more. How many snowmen did Kanna see in all?
Answer:
the correct answer is 5 snowmen
Are the dotted lines in the shape parallel, perpendicular or intersecting?
Answer:
Parallel
Step-by-step explanation:
The dotted lines are parallel because they have the same gradient to each other, this means the two dotted lines will never touch each other.
Have a great day <3
ASAP PLEASE HELP AND EXPLAIN!!!!!!!!
Please help!!! Will mark brainliest!
Answer:
2 x 7 = 5 x 3
Step-by-step explanation:
what is the area for a radius of 8 mm
Answer:
A= 201.06
Step-by-step explanation:
A = pi r^2
A = pi x 8 x r^2 = 201.06
Factorise fully 12x^3-4x^2
Answer:
4x² (3x - 1)
Step-by-step explanation:
12x³ - 4x²
4x² (3x - 1)
A survey was conducted to find the possible relationship between gender and the color of the car the person owns. The data is represented in the
frequency table shown.
Blue
Total
Red
53
Male
Female
Total
25
75
Black
72
45
117
30
83
150
150
300
100
What percentage of the people surveyed were females who own a blue car?
Answer:
25 %
Step-by-step explanation:
Does anyone know how to solve this?
Step-by-step explanation:
Strictly increasing functions:
Let a function f(a) for x = a, then,
f(a + h), for x = a + h,
If f(a + h) > f(a), we say this a strictly increasing function, as with increase in x, f(x) also increases.
In the given graph, there are straight lines so you can say increasing interval would have +ve slope.
For x = -4 to 0, it increases = [-4, 0]
For x = 2 to 5, it increases = [2, 5]
Answer: [-4, 0], [2, 5]
help me plz I will give 20 point
Answer:
1) If we have a point (x, y), the angle between the x-axis and a ray that goes from the origin to the point is defined by:
cos(θ) = x/(√(x^2 + y^2))
sin(θ) = y/(√(x^2 + y^2))
Then for the point:
(√(7)/4 , 3/4)
x = √(7)/4
y = 3/4
√(x^2 + y^2) = √((√(7)/4)^2 + ( 3/4)^2) = (1/4)*√(7 + 9) = 1
Then replacing these values in the above equations for the cosine and sine functions, we get:
cos(θ) = x/(√(x^2 + y^2)) = (√(7)/4)/1 = √(7)/4
sin(θ) = y/(√(x^2 + y^2)) = (3/4)/1 = 3/4
2) To find the period, we just need to find the distance between two peaks, or two x-intersects (such that the slope is the same).
Let's look at the graph.
We can see that at x = 0, the graph intersects the x-axis and increases
The next point where this happens is at x = π/3
Then the period of this function is:
P = π/3 - 0 = π/3
The period is π/3
SHOW YOUR WORK. The volume of the cylinder is 235.6 ft cubed. Find the height.
Answer:
Answer: 3 feet
Step-by-step explanation:
Here's the complete question:
The volume of the cylinder is 235.6 cubic feet the radius is 5ft. Find the height.
Note that Volume of a cylinder = πr²h
where Volume = 235.6 feet³
Radius = 5 feet
Height = Unknown
Then, we put the values back into the question and this will be:
V = πr²h
235.6 = 3.14 × 5² × h
235.6 = 3.14 × 25 × h
235.6 = 78.5 × h
h = 235.6 / 78.5
h = 3 feet
The height is 3 feet
Step-by-step explanation:
If the area of a triangle is 15 cm squared, and the base is 2 cm, then what is the height?
Please answer asap.
Answer:
15
Step-by-step explanation:
To find the area of an triangle use the formula BH(1/2) in this case
The base is 2 so the height must be 15 because 2 times 15 is 30 divided by 2 is 15
Tell me if I'm wrong if not
Hope this helped :]
The height of the triangle is 15 centimeters.
Given the following data:
Area of a triangle = 15 cm squaredBase of a triangle = 2 cmTo find the height of the triangle:
Mathematically, the area of a triangle is given by the formula;
[tex]Area \;of\; a \;triangle = \frac{1}{2}[/tex] × [tex]base[/tex] × [tex]height[/tex]
Substituting the values into the equation, we have;
[tex]15 = \frac{1}{2}[/tex] × [tex]2[/tex] × [tex]height[/tex]
Height = 15 cm
Therefore, the height of the triangle is 15 centimeters.
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This is the last question from me
Answer:
[tex] {4}^{4} [/tex]Step-by-step explanation:
[tex] \frac{ {4}^{9} }{ {4}^{5} } [/tex][tex]{4}^{9 - 5} [/tex]
[tex] {4}^{4} [/tex]
Hope it is helpful....The box plot below represents some data set. What percentage of the data values are less than 46?
Answer: 25%
Step-by-step explanation:
nadia will survey 50 students in her town to find out what their favorite summertime activity is which group would likeyl give the best representation for her survey
Answer:
B. 50 students in her school
Step-by-step explanation:
Every other answer is at a seperate place designed to help someone in a specific field, besides the school.