Answer:
[tex]-\frac{7}{25}[/tex]
Step-by-step explanation:
Value of given trigonometric ratio is equals to [tex]cos (2x) = \frac{7}{25}[/tex].
What is trigonometric ratio?" Trigonometric ratio is defined as in the right triangle the ratio which represents the relation between sides of a triangle with acute angle of a triangle."
Identity used
[tex]sin^{2} x +cos^{2} x =1\\ \\cos (2x) = cos^{2} x - sin^{2} x[/tex]
According to the question,
Given value of trigonometric ratio,
[tex]sin x = \frac{-3}{5} \\\\cosx < 0[/tex]
Substitute the value of [tex]sin x[/tex] in the above identity of trigonometric ratio,
[tex](\frac{-3}{5} )^{2} + cos^{2} x=1\\\\\implies cos^{2}x = 1- \frac{9}{25}\\ \\\implies cos x = \sqrt{\frac{16}{25} } \\\\\implies cos x = \frac{-4}{5} , cos x < 0[/tex]
Substitute the value of [tex]sin x[/tex] and [tex]cos x[/tex] the trigonometric identity ,
[tex]cos (2x) =( \frac{-4}{5})^{2} - ( \frac{-3}{5})^{2}\\\\\implies cos (2x) = \frac{16}{25}- \frac{9}{25} \\\\\implies cos (2x) = \frac{7}{25}[/tex]
Hence , value of given trigonometric ratio is equals to [tex]cos (2x) = \frac{7}{25}[/tex].
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Find the y-intercept and x-intercept of the line. 5x-4y=20
Answer:
y intercept : (0,-5) slope 5/4
x= 4+ 4y/5
Step-by-step explanation:
5x-4y=20
+4y=20 + 4y add 4 to each side
5x= 20/5 + 4y/5 divide both sides by 5
x = 4 +4y/5
Can anyone help me please
Answer:
x=6
Step-by-step explanation:
Since they are corresponding angles, they are congruent to each other.
12x+3=11x+9
x+3=9
x=6
If, on average, a person with a bachelor's degree earns $57,181 per year, how
much, on average, can a person with a master's degree expect to earn per
year?
O A. Less than $28,590
B. More than $28,590 but less than $57,181
C. $57,181
D. More than $57,181
Answer: D. More than $57,181
Step-by-step explanation:
Because a masters degree is higher than a bachelors degree, they should make more money
Answer: D
Step-by-step explanation: Because a master’s is higher than a bachelor’s so master’s would get more money.
A cookie recipe calls for ¾ cups of sugar. The recipe makes 20 cookies. How much sugar is required to make 80 cookies
Answer:
So based on the given problem above, it says that, for one batch with 3/4 cup of brown sugar can make 6 dozen big cookies. If we are to make 15 dozen cookies, what we need to do is to divide 3/4 cup of brown sugar by 6 dozen, and we get 0.125. This means that per dozen, it is equivalent to 0.125 cup of brown sugar. If we multiply it by 15 dozens, we get 1.875 cup or 1 and 7/8 cup of brown sugar.
Answer:
3 cups of sugar.
Step-by-step explanation:
80/20 = 4 batches
3/4 cups x 4 = 3 cups of sugar
A parachutist descends 52 feet in 4 seconds. Express the rate of the parachutists change in height as a unit rate.
Answer:
the answer is 13 per one sec
Step-by-step explanation:
4 times 13 is 52 so every one sec its 13
is it true or false?
Answer:
TRUE
Step-by-step explanation:
WRITING LINE AR INEQUALITIES Nancy works at Love at First Bite bakery where she decorates cakes and cupcakes. It takes her an average of 4 minutes to decorate a cupcake and 32 minutes to decorate a cake. Last week, Nancy spent no more than 224 minutes decorating cakes and cupcakes. Assume x represents the number of cupcakes and y represents the number of cakes Nancy decorated. 1. Which inequality best represents the possible combinations of cupcakes and cakes Nancy decorated? 2. If Nancy decorated a total of 4 cakes last week, which inequality represents the possible number of cupcakes she decorated? 3. Is it possible that Nancy decorated 3 cakes and 32 cupcakes last week? Explain. a. 4x + 32y > 224 b. 4x - 32y < 224 c. 32x + 4y < 224 d. 4x + 32y < 224 a. X < 96 b. x < 24 C. X < 96 d. x < 24 1 2- 3 - > 1
Answer:
32
Step-by-step explanation:
The inequality which best represents the possible combinations of cupcakes and cakes Nancy decorated is 4x + 32y > 224
Given:
Time to decorate cupcake = 4 minutes
Time to decorate cake = 32 minutes
Total time spent decorating last week = more than 224 minutes
number of cupcakes = x
number of cakes = y
The inequality:
4x + 32y > 224
A total of 4 cakes last week4x + 32(4) > 224
4x + 128 > 224
4x > 224 - 128
4x > 96
x > 96/4
x > 24
Is it possible that Nancy decorated 3 cakes and 32 cupcakes last week?4x + 32y > 224
4(32) + 32(3) > 224
128 + 96 > 224
224 > 224
Therefore, it is possible that Nancy decorated 3 cakes and 32 cupcakes last week
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Solving two step equations on both sides -8 + 2/3x + 4 = 2x - 5 - x
Answer:
utak mo gamitin mo
hwhsuudusjwudjeuejsusjssjjeiiejee
Answer:
X=3
Steps and explanations:
when j= -8 and k= 7, the value of the expression is
Answer: 539
Step-by-step explanation: PLATO and Edmentum
Expression will have a value of 116 for the specified values of j and k.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given an expression -4j + 12k
where given, j = -8
and k = 7
Substituting the values in the given expression
=> -4 * -8 + 12 *7
=> 32 + 84
=> 116
Therefore, the value of expression for the given values of j and k will be 116.
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Complete question:
when j= -8 and k= 7, the value of the expression -4j + 12k is_____.
Divide. Write the quotient in lowest terms.
2 3/4 divided by 3
what are the solutions of the equation below
(x-2)(x+9)=0
Answer: {2, -9}
Step-by-step explanation: Think of these two binomials, x -2 and x + 9,
as two numbers that are multiplying together to equal zero.
In order for two numbers to multiply together to equal zero,
either one number or the other number must equal zero.
So for two binomials to multiply together to equal zero,
either one binomial or the other binomial must equal zero.
So we can split this problem up into two parts.
If (x - 2)(x + 9) = 0, then either x - 2 = 0 or x + 9 = 0.
On the left, add 2 to both sides and we have x = 2.
On the right, subtract 9 from both sides and we have x = -9.
For our final answer we use set notation.
So our answer is {2, -9}.
Answer:
2 and -9
Step-by-step explanation:
x-2=0
x=2
x+9=0
x=-9
you hire movers to deliver your new couch. it weighs 60 kilograms. how much does it weigh in pounds
Answer:
132.277 if this isnt the right answer i just googled how many pounds is 60 kg
Step-by-step explanation:
Need help ASAP!! Question in photo.
Answer:
1.) angles 1 and 4. angles 5 and 8.
2.) angles 1 and 5. angles 3 and 7. angles 2 and 6. angles 4 and 8.
3.) angles 1 and 3. angles 5 and 7. angles 2 and 4. angles 6 and 8.
Step-by-step explanation:
Math
The sides of a triangle are as follows:
AB = 10 in
BC = 14 in
AC = 8 in
Order the angles of the triangle from smallest to biggest.
<B, <C,<A
<A, <B, <C
<B, <A, <C
<A, <C, <B
Answer:
<B , <C , <A
Step-by-step explanations:
The number of bacteria in a Petri dish grows by 10 percent every hour. After the growth, about 100 bacteria die. Suppose there are 500 bacteria, how many bacteria are alive after 1 hour
Answer:
450 bacteria
Step-by-step explanation:
Find growth that comes from precentage.
a = pw
a = 1.10(500)
a = 550
Then kill 100 bacteria.
b = 450
If you had 21,000,000 friends and one died how many are left.
Answer:
wow um 20,999,999
Step-by-step explanation:
I dont think all of they are REAL friends
Please help me out here this is kinda confusing.
Answer:
a
Step-by-step explanation:
because the area is 0.25 and she needs 100 so 100 x 0.25.
This diagram shows the dimensions of a concrete piece used to build a deck.
What is the volume of the concrete piece?
Three-dimensional figure that could be formed by placing two rectangular prisms together to form an L shape where the longer part of the L is on the bottom and the shorter part of the L extends up from the left side. The longer part of the L has a length of 20 inches, a width of 9 inches, and a height of 9 inches. The shorter part of the L extends 10 inches above the longer part of the L and has a length of 5 inches.
Answer:
The student is wrong, the total area = 16 ft² + 20 ft²
Step-by-step explanation:
See the attached figure.
The shown figure is a composite area of:
1) A rectangle with length of 8 ft and width of 4 ft
2) A triangle of base (8 - 4 = 4ft) and height of ( 6 - 4 = 2 ft)
The area of the rectangle = length x width = 8 * 4 = 32 ft²
The area of the triangle = 0.5 base x height = 0.5 * 4 * 2 = 4 ft²
So, the total area = 32 + 4 = 36 ft²
OR
The figure can be consists of :
1) A square of side length of 4 ft
2) A trapezoid of height (8-4 = 4 ft) and the bases length is (6 and 4 ft)
So,
The area of the square = 4 * 4 = 16 ft²
The area of the trapezoid = 0.5 (6+4) * 4 = 5 * 4 = 20 ft²
So ,the total area = 16 + 20 = 36 ft²
So,
The student is distracted, he finds the area of total rectangle of sides 8 and 6 ft, he should subtract from it the area of the trapezoid of height 2 ft and bases of 4 and 8 ft
So, the student is wrong
The volume of the concrete piece is 1000 cubic inches.
What is the Volume?Volume is a measure of the amount of space that an object occupies. It is a three-dimensional measurement that is typically expressed in cubic units.
here, we have,
given that,
The given diagram shows a rectangular concrete piece with dimensions 5 inches, 10 inches, and 20 inches.
The volume of a rectangular prism can be calculated as:
V = l × w × h
Where "l" is the length, "w" is the width, and "h" is the height. So, for the concrete piece, the volume is:
V = 5 in. × 10 in. × 20 in.
= 1000 cubic inches.
Hence, the volume of the concrete piece is 1000 cubic inches.
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A class of 340 students went on a field trip.
They took 8 vehicles, some cars and some
buses. Find the number of cars and the
number of buses they took if each car holds
5 students and each bus hold 55 students.
Answer: 2 cars and 6 buses.
Step-by-step explanation:
x + y = 8
5x + 55y =
5 times 2 = 10
plus
55 times 6 = 330
Add 330 plus 10 = 340!
How do I solve permutations and combinations?
Answer:
by formulas . you can solve permutations and combinations by formulas .
i got 4.9 and 40 i dont know if im right
Answer:
I got 40 aswell
Step-by-step explanation:
What percent of your friends like playing dodge ball if 5 out of 8 of them like playing dodge ball?
Answer:
62.5% or 63%
5 ÷ 8 = 0.625
0.625 = 62.5% or 63%
Answer:
Same situation as before, thanks for points.
Step-by-step explanation:
school sold 2 adult tickets and 10 child tickets for a total of $56. The school took in $52 on the second
The school that Elisa goes to is selling tickets to a fall musical. On the first day of ticket sales the
second day by selling 4 adult tickets and 5 child tickets. What is the price each of one adult
ticket and one child ticket?
Answer:
x+y=4+8=12
$12 for one of each
or if you mean indivually (the wording confused me)
$4 for child, $8 for adult
Step-by-step explanation:
x=adult
y=child
2x+10y=56
4x+5y=52
iin order to be able to subtract values and find x and y im going to multiply 4x+5y=52 by two and get 8x+10y=104
8x+10y=104
-2x+10y=56
6x=48 divide each side by 6
x=8
plug 8 back into an equation to find cost of y
2(8)+10y=56
-16 -16
10y=40
y=4
What is the value of x?
Answer:
1
Step-by-step explanation:
solve the fraction below 2 4/5 - 5/8
Answer:
I believe its 2.175 (as a decimal)
or 2 7/40 ( as a fraction)
If the figure below is rotated a certain number of degrees,
the transformed figure will coincide with overlap) the
original.
Which of these rotations will not result in the transformed
figure coinciding with the original?
288°
90°
72°
-72°
Write each as a algebraic expression:
1) The difference of five and half a number.
Answer:
5 - 1/2x
Step-by-step explanation:
Difference means subtraction
half means 1/2
number means x
PLZ ANSWER QUICKLY
Write an equation that represents the line.
Use exact numbers.
Suppose a bag of rice weighs 3.8 kilograms. How much do 6 bags of rice weigh?
Answer:
22.8 kg?
Step-by-step explanation:
A hotel manager found that his gross receipts for the day, including a 5% sales tax, were $1645.35. Find the amount of sales tax collected.
Answer:
The amount of sales tax collected is $78.35
Step-by-step explanation:
Percentages
The gross receipts for the day were $1645.35, including a 5% sales tax.
If a percentage is already included (added) to a certain quantity, then it's not the original quantity or 100%.
The problem states that the gross receipts already include a 5% sales tax, thus the receipts are 100+5=105% of the net sales.
This means the net sales were $1645.35 / 105 * 100 = $1567
Subtracting $$1645.35 - $1567 = $78.35 we get the amount of sales tax.
The amount of sales tax collected is $78.35
