If X = 14, find the value of the variable a. If your answer is not an integer, express it in simplest radical form.
Answers
Answer:
Step-by-step explanation:
First thing I would do is square the 14, and put it under the radical. Itll make the calculations a little bit easier.
14sqrt(2) = sqrt392
Use the definition of sine to find the value of a
sin(45) = opposite/hypotenuse = a/sqrt392
[tex]sin(45)=\frac{a}{\sqrt{392} }[/tex]
a = 14
Related Questions
At a student council meeting, there was a total of 65 students present. Of those students, 35 were female.
a. By what percent is the number of females greater than the number of males? Round your answer to the nearest tenth.
35 divided by 65
b. By what percent is the number of males less than the number of females? Round your answer to the nearest tenth.
Answers
Answer:
a = 50 b = 50
Step-by-step explanation:
a. 35/65=0.53 - rounded to the nearest tenth would equal to 50.
b.
65-35=30
30/65 = .46
rounded to the nearest tenth equals to 50.
Hope this helps!
Consider the system of equations shown in the box.
y = 3x + 1
y = 2x - 4
What is the x-coordinate in the solution of the system?
Answers
Answer:
x = -5
Step-by-step explanation:
3x + 1 = 2x - 4
x + 1 = -4
x = -5
The x-coordinate in the solution of the system is -5.
What are linear equations?Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.
Given the equations y = 3x + 1
y = 2x - 4
comparing both equations for equal values of y,
3x + 1 = 2x - 4
3x - 2x = -4 - 1
x = -5
substitute value of x in equation,
and y = 3x + 1
y = 3(-5) + 1
y = -14
Hence the value of x is -5.
Learn more about linear equations;
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r=26 in. find the diameter.
Answers
Answer:
see
Step-by-step explanation:
diameter=2×pi×r
diameter. 2.22/7.r
Tom is applying for a visa. He has to pay £1,700 for the visa as well as a 11% charge on the visa price for an on-the-day service. If Tom has 1 year to save, how much money should he save per month to be able to cover his costs? Round your answer to the nearest £10.
Answers
Step-by-step explanation:
this is geometric sequence
G1=Go(1+r)^n
G1=1700(1+11%)^1
G1=1700(1+0.1)
G1=1700*0.1
G1=170 per year
G1=170*12 per month
G1=2040
The deminsions of a rectangler prism are 5cm, 6cm, and Xcm. Its surface area is 148 cm2. Find the other deminsion.
Answers
Answer:
The other dimension is x=4 cm
Step-by-step explanation:
Surface Area of a Rectangular Prism
Given a rectangular prism of dimension x, y, and z. Its surface area is calculated with the formula:
A = 2(xy + yz + xz)
We are given the dimensions y=5 cm and z=6 cm. We also have A=148 cm2. Substituting:
148 = 2(x*5 + 5*6 + x*6)
Dividing by 2:
74 = x*5 + 5*6 + x*6
Operating:
74 = 5x + 30 + 6x
Simplifying:
74 = 11x + 30
Subtracting 30:
44 = 11x
Dividing by 11:
x = 4 cm
The other dimension is x=4 cm
Which of the following represents the series shown? Check all that apply. 11+17+23+29
Answers
Answer:
80
Step-by-step explanation:
have a wonderful day :)
If the movie theater seats 328 people, what is the maximum amount of money the theater can bring in during a show?
Answers
Answer:
how much money does it cost for one person??
for the salad bar Jenning must divide 8 bags of lettuce equally among 3 serving bowls how many bags of lettuce would be in each serving Bowl if they were divided equally?
A. 3/8
B. 3/7
C. 2 1/3
D. 2 2/3
Answers
Answer:
[tex]Unit = 2\frac{2}{3}[/tex]
Step-by-step explanation:
Given
[tex]Bags = 8[/tex]
[tex]Bowls = 3[/tex]
Required
Determine the amount in each bowl
This implies that we calculate the unit measurement. This is calculated using:
[tex]Unit = \frac{Bags}{Bowls}[/tex]
[tex]Unit = \frac{8}{3}[/tex]
[tex]Unit = 2\frac{2}{3}[/tex]
John needs to figure out the heat change, in watts, of circuit with 20 ohms of resistance and thats carrying a current of 5 amps. What is his result?
A) 250
B) 125
C) 500
D) 100
Answers
Is this correct please answer
Answers
Answer:
no need to skip a line between the office equipment and common stock.
Step-by-step explanation:
pls help
Which graph represents a linear function?
Answers
Answer: The second one
Step-by-step explanation:
Lineair is always a straight line, think of it as a “line in the air”
Answer:
the second one
Step-by-step explanation:
its a straight line
17 Which is a true statement? Standard 8.3
A All rational numbers are whole numbers.
B All irrational numbers are integers.
C All negative integers are irrational numbers.
D All positive integers are rational numbers.
Whe
Answers
Answer:
D All positive integers are rational numbers.
Step-by-step explanation:
Integers are rational numbers
Which rule describes the composition of transformations that maps ΔABC to ΔA"B'C"?
Answers
Answer:
The Answer is A or the first one, NOT C. C is wrong.
Step-by-step explanation:
The transformations that map ΔABC to ΔA"B"C" will be reflection cross x-axis and translation of (x - 6, y - 2). Then the correct option is B.
What is a transformation of a shape?A point, line, or numerical figure can be changed over in one of four ways, and each affects the item's design as well as position. Picture, after interpretation, alludes to the article's definitive association and situation. Not long before the alludes to the material's underlying condition.
The interpretation doesn't change the shape and size of the calculation. However, changes the area.
The reflection doesn't change the shape and size of the math. However, flipped the picture.
The changes that map ΔABC to ΔA"B"C" will be reflection cross x-pivot and interpretation of (x - 6, y - 2). Then, at that point, the right choice is B.
More about the transformation of the shape link is given below.
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The complete question is given below.
Write your answer with no spaces and any fraction with “/“
Answers
Answer:
The slope is 1/2
Step-by-step explanation:
Hi!
Disclaimer: Just for this response, I'm going to write it the same way you write a fraction out on paper just so it's easier to see.
First, you plot the two coordinates on the graph:
(0,0) and (2,1)
The formula for slope is [tex]\frac{y1 - y2}{x1 - x2}[/tex]
Now we plug in numbers accordingly:
[tex]\frac{0 - 1}{0 - 2}[/tex]
Simplify:
[tex]\frac{-1}{-2} \\[/tex]
Simplify:
[tex]\frac{1}{2}[/tex]
Let me know if you have any questions
The width of a rectangle a is 12 cm less than the length. The perimeter is 156 cm. Which
equation represents how to find the length and the width?
Answers
Answer:
Length is 45cm and Breadth is 33cm
Step-by-step explanation:
Perimeter = 156cm
Let the length be x
Breadth = x-12
Perimter = 2(l+b)
156 = 2(x-12+x)
156 = 2(2x-12)
156 = 4x-24
156+25 = 4x
180 = 4x
180÷4 = x
45 = x
Therefore, length is x = 45cm and breadth is x-12 = 45-12 = 33cm
OUR EQUATIONS
LENGTH = x
BREADTH = x-12
PLZ MARK ME AS BRAINLIEST★
When the American Idol competition was down to the final two contestants, the winner was ahead of the second-place finisher by $12$ million votes. If the total number of votes was $90$ million, how many votes did the winner get?
Answers
Answer:
I know you go to aops...
Step-by-step explanation:
First show your thinking before you ask others how to solve a problem, and ASK YOUR TEACHER FOR HELP!!
2 Evaluate the following expression whenx = 2.
2+7x+2
A. 24
B. 22
C. 10
D. 9
Answers
Answer:
a is the answer bye bye hope that helps you
Which of the following'illustrates the truth value of the given conditional statement?
p: 10 > 7
q. 10 > 5
~p→q
Answers
Step-by-step explanation:
?I'm not sure what you are trying to say
Cooper measured the lengths of 10 buttons to the nearest centimeter.The lengths of the buttons were 4,6,4,3,5,6,5,4,3, and 6 centimeters
Answers
A group of 28 students wants to go on a bus trip. The cost of the bus is $220. $94 dollars will be paid by one parent and the rest of the cost will be paid for by the students. Select the correct equation to represent this scenario from the options below. Group of answer choices LaTeX: 28x+94=22028 x + 94 = 220
LaTeX: 28x-94=22028 x − 94 = 220
LaTeX: 94x+28=22094 x + 28 = 220
LaTeX: 94x=22094 x = 220
Answers
Answer:
c
Step-by-step explanation:
HELP ME PLEASEEE ASAPPP
Answers
Which is the correct order of the numbers from least to greatest? -4/5, 3, 0.4, -1, -5/4
Answers
Answer:
-5/4, -1, -4/5, 0.4, 3
Step-by-step explanation:
Answer:
-4/5 -1 -5/4 .4 3
Step-by-step explanation:
At a football game, 35% of people attending were supporting the home team, while 65% were supporting the visiting team. If 455 people attending the game supported the home team, what was the total number of people attending the game? Help me plz:))
Answers
Answer:
1300
Step-by-step explanation:
Find the measure of angle C
Answers
90-25 = 65
Evaluate the expression 4x+3-x for
x=8
PLEASE HELP ME!
Answers
Answer:
x + 3 =8 x 4 =32 so your answer is 32 sorry for he wait
Step-by-step explanation:
x =5
A total of 190 people attended the opening night of a school
musical. Student tickets cost $4.50 each while general
admission tickets cost $6 each. If total sales were $996, how
many general admission tickets were sold?
Answers
Answer:
94
Step-by-step explanation:
x=student tickets y=general admission
We can write the two following equations
x+y=190
4.5x+6y=996
I am going to solve this through substitution
We first need to get a variable by itself
x+y=190
x-190= -y
-x+190=y
We can plug this value in for y into the second equation
4.5x+6(-x+190)=996
4.5x-6x+1140=996
-1.5x= -144
x=96
Now that we know that x=96 we can plug this value into any of the two beginning equations and solve for y
96+y=190
y=94
the figure shows the dimension of a city park in feet what is the area of the park?
A 968 ft2
B 1,088 ft2
c 1,208 ft2
d 73,084
i need help on this one
Answers
Which expression is equivalent to z2 + z + 4z3 + 4z2 ?
Group of answer choices
A.No answer text provided.
B.5z
C.4z3 + 5z2 + z
D.4z3 + 5z2
E.9z2 + z
Answers
Is the slope positive or negative?
Answers
Pls help me jenejfnnfnwndndbenjwjdndnwkjs
Answers
Answer:
I have no clue
Step-by-step explanation:
HAHA