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 slope help plz
Answer:
The slope would be 10/15 or 2/3 in simplest form.
ABC is a straight line. which equation can be used to find the measure of the unknown angel?
Answer:
A: 180 -45
Step-by-step explanation:
Since it is a straight angle, it will equal 180 degrees. Since 45 is already taken, u would subtract it from 180.
180-45=135
thus, your answer is 180-45
hope I helped!!!
I need Your help plish
Answer:
5
Step-by-step explanation:
Because there is zones
Multiply. Write your answer as a fraction in simplest form.
5/6(−8/15)=
Answer:
-4/9
Step-by-step explanation:
I used a calculator.
5/6(−8/15) in simplest form is -4/9.
What is a fraction ?A fraction is written in the form of a numerator and a denominator.There are two types of fractions. One is proper fraction in which numerator is less than the denominator and another one is improper fraction in which denominator is less than the numerator.All fractions can be written in the form of p/q, where q ≠ 0 cause anything divided by 0 is undefined.
According to the given questions we have to multiply two fractions (5/6)(-8/15) which is
= -40/90.
= -4/9.
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Write the symbolic expression in words:
PLEASE SOMEONE HELP
Answer:
The expression “32” is a symbolic term. ... This means the term has variable meaning depending on which value is substituted for x. For example, if you set x=−2, you get (−2)2, another name for 4. x2−6x+4y (mentioned above) is symbolic term with two variables.
I hope that helps im only in 8th grade so I don't fully understand it either lol
HELPP!!! I need help!
Answer: c.
Step-by-step explanation:
x^2 + 2x - 5 - (x - 3)
distribute the negative
x^2 + 2x - 5 - x + 3
combine like terms
x^2 + x - 2
Answer:
B
Step-by-step explanation:
You start by Figuring out the answer to each side of the equation by using PEMDAS (parenathes,exponets, mutiplacation, division,addition and subtractoin). then you add your varribles and exponets. Then simplify.
Farmer Jane has many hens that have laid many eggs. Before the eggs hatch, Jane wants to
count how many eggs are blue, how many are brown, and how many are white.
Jane counts that, of all the eggs, 6 are blue and 25% are brown.
If 10% of the eggs are blue, how many of the eggs are white?
a) 15
b) 21
c) 39
d) 65
Answer:
The correct option is;
c) 39
Step-by-step explanation:
The given information are;
The number of eggs that are blue = 6
The percentage of eggs that are brown = 25%
The percentage of eggs that are blue = 10%
Let the number of eggs Jane has = X
Therefore;
10% of X = 10/100 × X = 6
X = 6 × 100/10 = 60
The number of eggs Jane has = X = 60
The percentage of the eggs that are white eggs = 100 - (The percentage of eggs that are brown + The percentage of eggs that are blue)
The percentage of the eggs that are white eggs = 100 - (10 + 25) = 65%
The percentage of the eggs that are white eggs = 65%
∴ The number of eggs that are white = 65% of X = 65/100 × X= 65/100× 60 = 39 eggs
The number of eggs that are white = 39 eggs.
2x2 – 3x -9= (Factor completely.)
Answer:
The answer is 31. :)
Step-by-step explanation:
Rewrite the equation in proper standard form equation 1/4x- 3/4y = -3
Evan is going to the county fair this weekend. The admission to the fair is $5 and the cost per
ride is 50¢. If his parents gave him $20, write and solve a linear equation to find how many
rides he can go on.
Answer:
I think 40
Step-by-step explanation:
20/.50
Answer:
30 rides
Step-by-step explanation:
First subtract $5 from $20 (20-5) to get $15 now multiply 15 by 2 (which is the same as dividing by 1/2. and you get 30. so your answer is 30 rides
20-5=15 15x2=30 30 rides
3.4 x 10^3 in standard notation
Answer:3400
Step-by-step explanation:
Answer:
3240
Step-by-step explanation:
3.24
×
10
3
=
3.24
×
1000
This means you move the decimal spot 3 digit spaces to the right.
Count 3 spaces:
3.2.4.0 →
3240
So then your number becomes
3240
There are 12 students in the gym class. If 4 students can sit on 1 bench, how many benches are needed for all students ?
Answer:
3 benches needed
Step-by-step explanation:
Answer:
3 benches
Step-by-step explanation:
4 people to one bench
12 people divided by 4 = 3 benches
is 13/3 rational or irrational and why?
Answer:
The decimal form of 13/3 is a rational number. and decimals are rational
A washer and a dryer cost combined $664 The washer costs $36 less than the dryer. What is the cost of the dryer?
Answer: 350?
Step-by-step explanation:
664-36=628
628 divided by 2= 314 (cost of the washer)
314+36= 350
Hope this helps!
one-eight a number is two more than one-fourth the number. What is the number?
Answer:
40
Step-by-step explanation:
40/4 = 2+40/5 = 10
A 4-pack of museum tickets costs $30.28. What is the unit price?
Answer:
7.57
Step-by-step explanation:
30.28/4 = 7/57
please help me with this
Answer:
The answer is D: 42
Step-by-step explanation:
Angle 7 and angle 138 are supplementary and must add up to 180
Angle 7 is congruent to angle 6 through CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
Angle 7 and 6 are corresponding angles
you must find angle 7 becasue Angle 7= Angle 6
angle 7=x
138-x=180
solve for equation you get
x=42
Angle 7 = 42
so that means that Angle 6 is 42
plz help ASAP please please
Answer:
9030.75
Step-by-step explanation:
5039.16/.558=9030.752688
round to the nearest hundredth
9030.75
i think
The sum of 3 consecutive numbers is 72. What is the largest of these numbers?
23
25
26
28
Answer:
25
Step-by-step explanation:
23+24+25=72
hope i helped!! :)
( if it is right, pls mark brainliest!!)
Answer:
25
Step-by-step explanation:
let x represent the first consecutive number.
let x+1 represent the second consecutive number.
let x+2 represent the third consecutive number.
x + x+1 + x+2 = 72
3x + 3 = 72
3x = 72 - 3
3x = 69
3x/3 = 69/3
x= 23
first number= x = 23
second number = x+1
= 23+1
=24
third number= x+2
=23+2
=25
the largest of these numbers is 25
Jason solved the following equation to find the value for
X.
-8.5x – 3.5x = -78
x = 6.5
Describe how Jason can check his answer.
I
Answer:
we know, that If the x value is a solution to the equation, the x value must satisfy the equation. so It is true.
Step-by-step explanation:
just copy and paste it, its right
What percent of $18 is $6?
33.333% (with the 3 repeating)
1/3 of 18 is 6, so 33.333% (with the 3 repeating) of 18 would be 6.
Answer:
33.333% (its a repeating 3)
Step-by-step explanation:
$6 is 33.33% of 18.
I got this number by dividing 6 by 18, which gave me 0.33333333333.
I then converted 0.33333333333 to a percentage, rounded, and got 33.33%.
3(3x - 1) + 2(3 - x) = 0
Answer:
-3/7
Step-by-step explanation:
any one know the answer plz i will give brainlyest
Answer:
Step-by-step explanation:
P=2*9+2*4
P=18+8
P=26 in.
2(x - 3) = -8
can someone explain to me how to slove this without calculator please and thank you<3
Answer:
-1
Step-by-step explanation:
Distribute
2(x-3)=-8
2x-6=-8
2x=-2
DIVIDE 2 on both sides
x=-1
Evaluate the equation for the indicated value, f(n)=5n+8 for f(4),
The value of the function f(n)=5n+8 for f(4) will be 28.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given function is f(n)=5n+8. The value of the function at equal to 4 will be calculated as below:-
f(n)=5n+8
f(4) = ( 5 x 4 + 8 )
f(4) = 20 + 8
f(4) = 28
Therefore, the value of the function f(n)=5n+8 for f(4) will be 28.
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4x + 11y = 36, What is the x intercept (let y = 0)? *
To find the x intercept we must put zero instead of the y in the function.
Let's do it....
[tex]4x + 11(0) = 36[/tex]
[tex]4x + 0 = 36[/tex]
[tex]4x = 36[/tex]
Divided sides by 4
[tex] \frac{4}{4}x = \frac{36}{4} \\ [/tex]
[tex]x = 9[/tex]
Thus the x intercept is 9 .
And we're done....
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Jacob buys 6 game tickets and 3 ride tickets at a carnival for $39. Emily buys 2 game tickets and 2 ride tickets for $18. Find the cost of a game ticket and the cost of a ride ticket at the carnival. Set up and solve a system of equations.
Your answer:
Answer:
Cost of ride ticket = $5
Cost of game ticket = $4
Step-by-step explanation:
Given that:
Let ;
game ticket = g
Ride ticket = r
Jacob :
6g + 3r = 39 - - - (1)
Emily :
2g + 2r = 18 - - - - (2)
Divide (2) b y 2
g + r = 9 - - - - (3)
From (3)
g = 9 - r
Substitute ; g = 9 - r into (1)
6(9 - r) + 3r = 39
54 - 6r + 3r = 39
54 - 3r = 39
-3r = 39 - 54
-3r = - 15
r = 5
Put r = 5 in (g = 9 - r)
g = 9 - 5
g = 4
Hence,
Cost of ride ticket = $5
Cost of game ticket = $4
[tex] \frac{100}{1000} = {10}^{x} [/tex]
Caleb paid $4.50 for 12 bagels. Which of the following have a unit price for bagels that is greater than the unit price Caleb pald? Select all that
apply
A) $2.25 for 6 bagols
B) $13.50 for 10 bagels
c) $3.30 for 6 bagols
D) $5.00 for 12 bagets
E) $8.10 for 18 bagels
Options B, C, D, and E have a unit price for bagels that is greater than the unit price Caleb pald because all their unit prices are higher then what Caleb paid.
How to calculate unit price of something?Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.
unit price of something is price of 1 thing.
LEts suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.
Given that Caleb paid $4.50 for 12 bagels.
Unit price = 4.50 / 12 = 0.375
A) $2.25 for 6 bagols
Unit price = 2.25 / 6 = 0.375
B) $13.50 for 10 bagels
Unit price = 13.50 / 10= 1.35
c) $3.30 for 6 bagols
Unit price = 3.30 / 6 = 0.55
D) $5.00 for 12 bagets
Unit price = 5.00 / 12 = 0.41
E) $8.10 for 18 bagels
Unit price = 8.10 / 18 = 0.45
Hence, Options B, C, D, and E have a unit price for bagels that is greater than the unit price Caleb pald because all their unit prices are higher then what Caleb paid.
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Please help this math question is kinda confusing to me just a little bit. Please explain. Thanks
Step-by-step explanation:
Add both lengths and you see the overlap thats 12 cm so subtract that to get the length.
Answer:
1.94 m
Step-by-step explanation:
1 meter=100cm
Then we need to convert the two lengths which is 135 cm and 83 cm
so then since it is overlap we multiply by two 12 cm*2= 24 cm
Then we add 135 and 83= 135+83 = 218 cm
218 cm - 24 cm = 194 cm
So then 194 cm to m = 1.94 m
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