Answers
Answer:
9.7
Step-by-step explanation:
Answer:
[tex]\boxed {\boxed {\sf x \approx 9.7}}[/tex]
Step-by-step explanation:
This is a right triangle, which we know because of the square in the corner of the triangle. We can use the right triangle trigonometric ratios.
[tex]sin( \theta) =opposite/hypotenuse[/tex] and [tex]cos (\theta) = adjacent /hypotenuse[/tex] and [tex]tan (\theta)=opposite/adjacent[/tex]
First, identify each side of the triangle as adjacent, opposite, or hypotenuse, relative to the 68 degree angle.
The x is next to, or adjacent, to the angle. The 24 is opposite. We are not given the hypotenuse.
[tex]adjacent= x \\opposite= 24 \\hypotenuse= unknown[/tex]
Since we have the adjacent and opposite, we must use tangent.
[tex]tan (\theta)=\frac{opposite}{adjacent}[/tex]
Substitute the values in. The theta (θ) is the angle.
[tex]tan (68)=\frac{24} {x}[/tex]
Solve for x. One way is by cross multiplying.
[tex]\frac{tan(68)}{1}=\frac{24}{x}[/tex]
Multiply the 1st numerator by the 2nd denominator. Then, multiply the 1st denominator by the 2nd numerator.
[tex]tan (68)*x=1*24[/tex]
[tex]tan(68)*x=24[/tex]
Evaluate tan(68) using a calculator.
[tex]2.47508685*x=24[/tex]
Divide both sides of the equation by 2.47508685. This will isolate the variable x. ( We divide because multiplication is occurring between 2.47508685 and x, and division is the inverse of multiplication).
[tex]\frac{2.47508685*x}{2.47508685}=\frac{24}{2.47508685}[/tex]
[tex]x=\frac{24}{2.47508685}[/tex]
[tex]x=9.69662943[/tex]
Round to the nearest tenth. The 9 in the hundredth place tells us to round up. The 6 becomes a 7.
[tex]x \approx 9.7[/tex]
In this right triangle, x is equal to about 9.7
Related Questions
Evaluate each expression
|30-5|-|-7|
Answers
Answer:
18
Step-by-step explanation:
|30 - 5| - |-7| = 18
6 + 3(x + 4)
PLEASE HELP!!!! I will give brainliest
Answers
3x+18
Step-by-step explanation:
Answer:
3x+18
Step-by-step explanation:
Is the answer
answer
toni can carry up to 15 lbs in her backpack. her lunch weights 1 lb, her gym clothes weight 2 lb, and her books (b) weight 3 lb each. How many books can she carry in her backpack?
Answers
Answer:
4 books
Step-by-step explanation:
15-3=12
12/3=4
What is the oblique asymptote of g(x)= x^2-3x-5/x+2?
Answers
Answer:
excuse me these words are some other language
Answer:
It's y= x-5
Step-by-step explanation:
When are two distinct lines parallel?
Answers
Answer:
if the line keeps going and theynever touch
Step-by-step explanation:
Answer:
Two lines are parallel when are side by side and if the lines kept on going, they would never collide with each other
Step-by-step explanation:
Perry currently has $238 dollars and is spending $6 per day. Nick has no money but is earning $8 each day. After how many days will they have the same amount of money?
Answers
Answer:
are you sure it is not 180? if it is it is 12.87
but if it is 238 it is 21 days or something close
Find the equation of the line that passes through the given points. Write the equation in slope-intercept form.
(-2,-4) and (-4,-3)
Answers
Step-by-step explanation:
m=(y1-y)/(x1-x2)
m=(3-(-4))/(-4-(-2))
m=7/-2=-7/2
y=mx+c
y=-7/2x+c
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal cost $78.90 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the cost of the meal?
Answers
Answer:
The 15% discount means that they only pay 100%-15% = 85% of the meal's bill.
This would cost 85% * 78.65.
However, they also have to pay a 20% tip of the meal cost.
This would cost 20% * 78.65.
Step-by-step explanation:
total Cost = (85% * 78.65) + (20% * 78.65)
= 105% * 78.65
= 1.05 * 78.65
= $82.58
I need help and D. Is x>-25
Answers
Answer:
x>50
Step-by-step explanation:
Answer:
x < 25
Step-by-step explanation:
Given
- 2x > - 50
Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity
x < 25
Please help me with 7
Answers
Answer:
Third choice, 7/25
Step-by-step explanation:
14 + 11 + 10 + 15 = 25 + 25 = 50, they also already stated this in the question so u don't have to calculate this
14 out of 50 students voted for nicholas, so it's a 14/50 chance, simplified would be 7/25
PLEASE HELP!!!! WILL GIVE BRAIN I PROMISE.
Answers
Answer:
No, they are not inverses.
Step-by-step explanation:
To find out if this are inverses we will have to switch the x and y in one of the equations. Let's do it with the second equation:
(Remember that f(x)/g(x) and y are virtually the same)
y = -4x + 2
Switch x and y
x = -4y + 2
Now solve for y
x - 2 = -4y
[tex]-\frac{x}{4} + \frac{2}{4} = y\\-\frac{x}{4} + \frac{1}{2} = y[/tex]
Therefore, the 2 functions in the question are not inverses of each other because the actual inverse has a negative in front of the -x/4.
I hope this helps!!
- Kay :)
Max has a drawer full of green and red socks. He has three times times as many red socks subtracted from four times as many green socks which he believes is 50 socks. Half the number of green socks plus one-third of the number of red socks is 36. How many of each colour does he have?
Answers
Answer:
There are 42 red colour socks and 44 green color socks
Step-by-step explanation:
Let there are r red socks and g green socks.
ATQ,
He has three times times as many red socks subtracted from four times as many green socks which he believes is 50 socks.
4g-3r=50 ....(1)
Half the number of green socks plus one-third of the number of red socks is 36.
[tex]\dfrac{g}{2}+\dfrac{r}{3}=36\\\\3g+2r=216\ .....(2)[/tex]
Multiply equation (1) by 2 and equation (2) by 3.
8g-6r = 100 ....(3)
9g +6r = 648 ....(4)
Add equation (3) and (4)
8g-6r + 9g +6r = 100+648
17g = 748
g = 44
Put the value of g in equation (1).
4(44)-3r=50
176-3r = 50
176-50 = 3r
r = 42
Hence, there are 42 red colour socks and 44 green color socks.
Michael puts $800 into a savings account. The account earns 2% simple interest. How much interest will he earn in 6 months?
Answers
Answer:
he earned 8 dollars in interest
Step-by-step explanation:
800(1+(.02)(.5))
hopefully im correct
On a road trip, a family drives 350 miles per day. How many days, d, must they trave
to reach a distance of at least 1400? Write an inequality to represent this
situation.
Answers
Answer:
1400< 350d (its less than or equal to, but i cant put the bar under.
Gabriel was given a gift card for a coffee shop. Each morning, Gabriel uses the card to
buy one cup of coffee. Each cup of coffee costs $4 and the original amount of money
on the gift card was $20. Make a table of values and then write an equation for A, in
terms of x, representing the amount money remaining on the card after buying x
cups of coffee.
Number of Cups of Coffee Amount of Money Remaining on Card
Answer: A =
Answers
PLEASE HELP WILL MARK BRAINLIEST Question 8
Which pair of equations show below would have infinite solutions?
Answer
A Y = -2 + 8
y = 4x - 7
B y = x - 4
y = 3x - 2
C) x
x – 3y = -3
x – 3y = 6
D 3x +y = 3
6x + 2y = 6
Answers
Answer:
Step-by-step explanation:
a)y=-2x+8
y=4x-7
solution
b)y=x-4
y=3x-2
solution
c)x – 3y = -3
x – 3y = 6
no solution
d)3x +y = 3
6x + 2y = 6
infinite.
Answer: D
Step-by-step explanation:
If DF=61 and EF=18, find DE.
Answers
Help please!!
Lisa traveled 140 miles on 2/5 of a tank of gas. At this rate, how far can she travel on one tank of gas?
Answers
Answer:
350miles
Step-by-step explanation:
The math teacher gives each student a map of the amusement park that uses a coordinate plane. The meeting location is at (0, 0) on the map. Each unit is 100 feet. The first ride that you want to try is located at the coordinates (0, 4). The next ride is located at (3, 0). If you walked in a straight line from the first ride to the second ride, how many feet would you travel?
Answers
Answer:
500 ft
Step-by-step explanation:
use this formula
The actual distance between first and second ride is 500 ft.
What is Distance Formula?The distance between two point P(a, b) and Q(c, d).
so, the distance PQ = √(c-a)² + (d- b)²
Given:
Starting point = (0,0)
First ride = (0,4)
Second ride = (3,0)
In map, each unit = 100 ft
Using the distance formula
d = √( 3-0)² + (0-4)²
d = √9+ 16
d= √25
d = 5 units
So, the distance between first ride and second ride in the map is 5 units.
and,1 units = 100 ft
5 units = 500 ft
Hence, the actual distance between first and second ride is 500 ft.
Learn more about distance formula here:
https://brainly.com/question/28956738
#SPJ6
Can someone help me with this problem?
Answers
Explanation:
The 2 polygons are similar
So 25/30 = 25.5/30.6 = 5/6 or 5:6
Let x= t+2 and y= t² Write an equation for y in terms of only X
Answers
Answer:
[tex] y = {x}^{2} - 4x + 4[ /tex]
Step-by-step explanation:
[tex] x = t + 2 \\
\implies \: x - 2 = t....(1) \\
y = {t}^{2} ....(2) \\
plug \: t = x - 2 \: in \: equation \: (2) \\
y = {(x - 2)}^{2} \\
\red{ \bold{ y = {x}^{2} - 4x + 4}}[/tex]
what is the square root of a perfect square always rational
Answers
Answer:
The square root of a perfect square will always be a whole positive or negative number
Step-by-step explanation:
what is x in 4x²-12x+ 9 = 0
Answers
Answer: x = √9/8
answer is x = square root of 9/8
Step-by-step explanation:
Roxanne invests $4.000 into an account that pays 4% simple interest. Roger invests the same amount of money with the same rate, but the
Interest is compounded annually. What will be the difference in Roxanne's and Roger's accounts after five years if no additional amounts are
deposited? Round to the nearest cent.
Answers
Answer:
Step-by-step explanation:
What grade?
Answer:
$67
Step-by-step explanation:
4000 for 4% equal $160/year total in 5 year equal $4800
the other one 4160 1 year, 4327 2 year, 4500 3 year, 4680 4 year, 4867 5 year the difference is $67 more has Roger than Roxanne
Order from least to greatest, (15 points) and brainy award.
Answers
Answer:
pi/2 ... 2pi -square root 9..... and then pi +3
Step-by-step explanation:
pretty much the opposite of what it is now
You and your friend join a new gym that requires a one-time joining fee and monthly payments. Your friend chooses the 1 year plan and pays $687, while you elect the 18 month contract which costs $981. Use this information to determine the linear model used to calculate cost from months of membership.
Answers
Answer:
C = 99 + 49m
x = $99
y = $49
Step-by-step explanation:
Let
x = one time joining fee
y = monthly payment
Your friend:
1 year = 12 months
x + 12y = $687
You:
x + 18y = $981
x + 12y = 687 (1)
x + 18y = 981 (2)
Subtract (1) from (2)
18y - 12y = 981 - 687
6y = 294
Divide both sides by 6
y = 294 /6
= 49
x = $49
Substitute y = 49 into
x + 12y = 687
x + 12(49) = 687
x + 588 = 687
x = 687 - 588
= 99
x = $99
C = 99 + 49m
Where,
C = total charges
m = number of months
99 = a one time joining fee
49 = charges per month
When the sum of a number, n, and 6 is divided by 4 the
result is equal to 5. Set up and solve an equation to find
the value of n.
Answers
Answer:
n = 14
Step-by-step explanation:
(n + 6)4 = 5
1. multiply by 4
n + 6 = 20
2. substract 6
n = 14
The required value of n is 14 in the given sum.
What is algebra?Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.
We have been given that the sum of a number, n, and 6 is divided by 4 the result is equal to 5.
According to the given question, we can write the algebraic form would be as:
⇒ (n + 6)/4 = 5
Apply the cross-multiplication operation,
⇒ (n + 6) = 5 × 4
Apply the multiplication operation,
⇒ (n + 6) = 20
⇒ n = 20 - 6
Apply the subtraction operation,
⇒ n = 14
Therefore, the required value of n is 14.
To learn more about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
Can someone please help....I’m stuck
Mr. Martin wrote the following problem on the board.
Juanita's car has a gas mileage of 21
|miles per gallon. How many miles
can Juanita travel on 7 gallons of
gas?
21miles
Alex used the expressionanllon
7gallons
to find the
answer. Did Alex make a mistake? Answer Yes or No. hi
Answers
Answer:
147 gallons
Step-by-step explanation:
21 miles x 7 gallons
3. Jackson answered 80o of the questions on his Science test correctly. Colton scored 10
out of 12. Who scored the highest score?
Answers
Answer:
i think they both scored the same
Answer:
Colton did.
Step-by-step explanation:
Jack's score was 80%.
Colton got a score of 83.33...
I got Colton's score by solving 10/12.
Write the ratio
2/3 /5
in simplest form
Answers
Answer:
A) 2/15
Step-by-step explanation:
So just divide it normally, do keep change flip
2/3*1/5
2/3 keep
divison change
Denomeinator, flip it, 5 to 1/5
now multiply
2/15