Answers
Answer:
Step-by-step explanation:
[tex]\frac{8}{x} =cos 60\\\frac{8}{x} =\frac{1}{2} \\x=8 \times2=16\\\frac{y}{x} =sin60\\\frac{y}{16} =\frac{1}{\sqrt{2}} \\y=\frac{16}{\sqrt{2}} \\y=\frac{16}{\sqrt{2}} \times\frac{\sqrt{2}}{\sqrt{2}} \\y=\frac{16\sqrt{2}}{2} =8\sqrt{2}[/tex]
Answer:
the second option/x = 4, y = 8√3
Step-by-step explanation:
out of the tree options, the second one makes sense
Related Questions
What is the relationship for angle 1 and angle 8
Answers
Answer:
Step-by-step explanation:
In this cofiguration, there are 8 angles. 4 equal one value and 4 are their supplements of the first 4.
6 and 80 and 2 and 3 are all equal to 80 degrees.
1 4 5 and 8 are the supplements. So whatever their value, they are all equal to the same thing. <1 = <8
They are supplementary to the 80 degree angle
<1 + 80 = 180 Subtract 80 from both sides
<1 = 180 - 80
<1 = 100
So angle 1 and <8 both equal 100 degrees.
Answer:
Alternate exterior angles.
Step-by-step explanation:
Alternate exterior angles are angles on opposing sides of the transversal and the outside of the parallel lines. Moreover, they are congruent. Therefore, ∠1 ≅ ∠8.
x / 2.5 = 10
plz helppp
Answers
Answer:
x=25
Step-by-step explanation:
what decimal is equivalent to 8 9/100
Answers
Answer:
8.09
Step-by-step explanation:
8.09 I think. I’m not positive but I think so.
The midpoint of AB is M (4,2). If the coordinates of A are ( 6,-4) what are the coordinates of B?
Answers
Answer:
(2,8)
Step-by-step explanation:
m (4,2)
(6,-4)
(2,8)
I know how to do it just then one’s a bit confusing
Answers
Answer:
208 ft^3
Step-by-step explanation:
Let the plane through the 4 ft X 4ft square at the top of the figure break the figure into 2 boxes, one has dimensions (8-7) by 3 by 4 = 1ft X 3ft X 4ft, and the other has dimensions 7 by 7 by 4 = 7ft X 7ft X 4ft.
They have volumes of (1)(3)(4) = 12 ft^3, and (7)(7)(4) = 196 ft^3, respectively, so the total volume = 12 + 196 = 208 ft^3, the answer.
if buyer purchases 25% of a lot in the spring and then purchases 50% more in the fall what percentage of the lot is still available to purchase
Answers
Answer:
25%
Step-by-step explanation:
Total purchase = 25%+50%
Total purchase = 75%
Percentage left = 100% - 75%
Percentage left = 25%
IF Tyler s currently 5 inches
tal, how many inches more
does he need to grow to be
feet tal?
Answers
Hey there! Your answer is:
7 inches
Explanation:
If Tyler is 5 inches tall, he needs to grow 7 inches to be a foot tall. This is because 12 inches are in 1 foot. We can do a simple subtraction problem to figure this out.
12 inches - 5 inches = 7 inches
Since Tyler is 5 inches tall, we know that if we subtract 12 inches from 5 inches we will get the number of inches he needs to grow.
I hope this answer helps you out! Let me know if you have any questions and have a wonderful day/night!
ACME insurance company estimates that the probability of the owners’ of a house worth between $120,000 to $170,000 making a claim for $5000 is 0.08, and that the probability of the house and contents being totally destroyed is 0.0041. Should that tragedy happen, the company will have to pay $150,000. The company charges $1300 for the insurance policy.
What is the expected value of this policy to the insurance company?
Round your answer to two decimal places.
Answers
The expected value of this policy to the insurance company is $285.00.
Using this formula
Policy expected value=Insurance policy charges-[(Probability × Claim)+(Probability × Claim)]
Let plug in the formula
Policy expected value=$1,300-{(.0041)($150,000)+(.08)($5,000)]
Policy expected value=$1,300-($615+$$400)
Policy expected value=$1,300-$1,015
Policy expected value=$285.00
Inconclusion the expected value of this policy to the insurance company is $285.00
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How much is does 8×10 equal to?
Answers
Have a great day! :)
Answer:
80
Step-by-step explanation:
8x10= 80
100min to 2h as a ratio
Answers
Answer:
100:2
Step-by-step explanation:
Juanita is tying ribbon on gift bags. She has 24 feet of ribbon and each gift bag uses 0.75 foot of ribbon. The function
r = 24 -0.75g represents the amount of ribbon r Juanita has left after tying ribbon on g gift bags. Find the zero of the function. Describe
what this value means in the context of this situation
The zero of the function is at ___. This represents that after tying ribbon on ____ gift bags, Juanita will have ____ feet of ribbon left.
Answers
The zero of the function is at 32 gift bags. This represents that after tying ribbon on 32 gift bags, Juanita will have zero feet of ribbon left.
According to the question;
The function r = 24 -0.75g represents the amount of ribbon r Juanita has left after tying ribbon on g gift bags.The zero of the function is at, r = 0.
Therefore;
0 = 24 -0.75gg = 24/0.75g = 32.This value means that after tying 32 gift bags, Juanita will have zero feet of ribbon left.
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Help as soon as possible please if the answer is correct I’ll give brainliest
Answers
Answer:
The slope is 4, while the y intercept is 2
...starting with 2 cards and adding 4 cards each week
Step-by-step explanation:
The slope is always the coefficient (the number in front) of x.
The y intercept is the number on its own.
Hope this helps!
An aquarium has 5 gallons of water in it and is being filled up at a rate of g gallons every m minute. The amount of water w in the tank can be represented by the equation
w = 5 + g - m. Write an equation that can be used to find the number of minutes m the tank has been filled if we know w and g.
Write an equation that can be used to find the number of minutes g the tank has been filled if we know w and a.
Answers
Answer:
m=5+g-w
Step-by-step explanation:
This should be the answer based on the equation given.
Answer:
See belowStep-by-step explanation:
The equation for the amount of water is:
w = 5 + gmSolve for m:
gm = w - 5m = (w - 5)/gNow solve for g:
gm = w - 5g = (w - 5)/mNO LINKS!!!
Find the coordinates of point on the directed segment from (1,6) to (-2,-3) that divides it into a ratio of 5:1.
a. (-1.5,-1.5)
b. (1.5, 1.5)
c. (-1,-1)
d. (-2.5, -3.5)
Answers
Answer:
A. (-1.5, -1.5)Step-by-step explanation:
Find the coordinates:
x = 1 + 5/6(- 2 - 1) = 1 - 5/2 = -1.5y = 6 + 5/6(-3 - 6) = 6 - 15/2 = -1.5Correct choice is A
Human population numbers are in constant flux. Suppose a country has a population of 20 million people at the start of one year and during the year there are 600,000 births, 350,000 deaths, 100,000 immigrants, and 5,000 emigrants. You and your classmates will determine the total population at the end of the year and then model expected change over a longer period.
Answers
nothing yw listen to your teacher
5m > 45 I need help
Answers
Answer:
m = 10
5 x 10 = 50
50 > 45
Step-by-step explanation:
Adjoa’s gross salary for last month was Ghc4,687.24. If Ghc421.78 was deducted from Adjoa’s salary pay, how much take-home pay did Adjoa earn this past month?
Answers
Adjoa take-home pay earned for the past month is Ghc4,265.46
From the question,
We are to determine the amount of take-home pay Adjoa earn the past month
From the given information, we have that
Adjoa’s gross salary for last month was Ghc4,687.24
Also
Ghc421.78 was deducted from Adjoa’s salary pay
To determine how much take-home pay Adjoa earn the past month,
We will subtract the amount deducted from Adjoa’s salary pay from Adjoa’s gross salary for last month
That is,
Adjoa take-home pay = Ghc4,687.24 - Ghc421.78
Adjoa take-home pay = Ghc4,265.46
Hence, Adjoa take-home pay earned for the past month is Ghc4,265.46
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You deposit $9000 in an account that pays 5% interest compounded quarterly.
A. Find the value of one year
B.Use the future value formula for simple interest to determine the effective annual yield
(Formula: A=P(1 +rt)
Answers
Step-by-step explanation:
Given:
Deposit P = $9000Interest rate r = 5% = 0.05Time t = 1 yearNumber of compounds n = 4A. Find the value of one year
[tex]A = P(1 + r/n)^{nt} = 9000(1+0.05/4)^4=9458.51[/tex]B. Use the future value formula for simple interest to determine the effective annual yield
[tex]A=P(1+rt)\\[/tex][tex]r=(A/P-1)/t[/tex][tex]r=(9458.51/9000-1)/1=0.0509[/tex] r = 5.1%Answer:
A) $9458.51
B) 5.09% (2 d.p.)
Step-by-step explanation:
Part ACompound Interest Formula
[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $9000r = 5% = 0.05n = 4 (quarterly)t = 1 yearSubstitute the given values into the formula and solve for A:
[tex]\implies \sf A=9000\left(1+\frac{0.05}{4}\right)^{4 \times 1}[/tex]
[tex]\implies \sf A=9000(1.0125)^4[/tex]
[tex]\implies \sf A=9458.508032...[/tex]
Therefore, the value of the account after 1 year is $9458.51.
Part BSimple Interest Formula
A = P(1 + rt)
where:
A = final amountP = principalr = interest rate (in decimal form)t = time (in years)Given:
A = $9458.51P = $9000t = 1 yearSubstitute the given values into the formula and solve for r:
[tex]\implies \sf 9458.51=9000(1+r(1))[/tex]
[tex]\implies \sf 9458.51=9000(1+r)[/tex]
[tex]\implies \sf \dfrac{9458.51}{9000}=1+r[/tex]
[tex]\implies \sf r=\dfrac{9458.51}{9000}-1[/tex]
[tex]\implies \sf r=0.050945...[/tex]
[tex]\implies \sf r=5.0945... \%[/tex]
Therefore, the effective annual yield is 5.09% (2 d.p.).
Find the length of the side of a square whose area is equal to the area of a rectangle with side measures 4.9 m and 1.6 m
Answers
Given :
Area of square equals to the area of rectangle of sides 4.9m and 1.6m .To find :-
The side of the square .Solution :-
As we know ,
Area = side² 4.9 * 1.6 = a²a = √ 49/10 * 16/10 a = 7/10 * 4/10 a = 28/100 a = 0.28 mI am using remainders
Answers
Answer:
Step-by-step explanation:
Is there an image or question?
What is the inverse of the function?
f(x) = 3^x + 1
f^-1(x)= log3 (x) +1
f^-1(x)= log3(x)-1
f^-1(x)=log3(x+1)
f^-1(x)=log3(x-1)
Answers
Answer:
f^-1(x)=logs3(x+1)
Step-by-step explanation:
Let y=f(x)
[tex]\\ \rm\Rrightarrow y=3^x+1[/tex]
Interchange[tex]\\ \rm\Rrightarrow x=3^y+1[/tex]
[tex]\\ \rm\Rrightarrow lnx=ln(3^y+1)[/tex]
[tex]\\ \rm\Rrightarrow x=\dfrac{ln(y-1)}{ln3}[/tex]
Again interchange
[tex]\\ \rm\Rrightarrow f^{-1}(x)=\dfrac{ln(x-1)}{ln3}[/tex]
What is the domain of y=log 4(x+3)?
Answers
Answer:
Y= log 4(x+3)
then you should do (x+3)= 3x= log 4.
Step-by-step explanation: Sorry I'm not 100 % sure so yeah
But let's see 3x = log 4
oh so then you need to divide 3 at both sides so then what's 4/3= 1.3333333333.
So now I think it's C). All real numbers are les than 3.
HELP HELP
Referring to the Fig. in Question #19, given FGHI≅WXYZ,
find m∠Y
Answers
Answer:
m∠Y= 120
Step-by-step explanation:
Given,
FGHI≅WXYZ
m∠H=m∠Y [ Corresponding parts of congruent figures]
m∠Y= 120
Sandeep is making fruit dip for a party. His recipe calls for 1/2 of a teaspoon of cinnamon and 3/4 of a cup of yogurt. Using this ratio, how much cinnamon does Sandeep need if he uses 3 cups of yogurt?
Answers
Answer:
That sounds delicious
Step-by-step explanation:
0.5:0.75 = x:3
2 teaspoons of cinnamon needed
an equation for the line, in point stope form, that passes through the following points (- 4, - 4); (4, 5)
Answers
Answer:
（8,9）
Step-by-step explanation:
-4＋8＝4
-4＋9＝5
that what i think
Darryl wants to add enough water to 8 gallons of a 10% bleach solution to make a 5% bleach solution. Which equation can he use to find x, the number of gallons of water he should add?
[tex]1.( \frac{0.8}{8 + x} )( \frac{5}{100} = 1 \\ 2. \frac{0.8}{8 + x} = \frac{5}{100} \\ 3. \frac{0.8}{8 + x} = \frac{100}{5} \\ 4. \frac{0.8}{8 + x} \div \frac{5}{100} = 1[/tex]
Answers
Answer:
2) 0.8/8+x=5/100
Step-by-step explanation:
Answer:
letter B is the correct answer!
PLS HELP ILL GIVE BRANLIEST
What is the value of b in the equation (y^b)^4= 1/y^24?
Answers
Answer:
b= -6
y^(b×4) = y^(-24)
b= -6
Just pleasssssssssss help me.
Answers
3/14 2/7 1/2
Step-by-step explanation:
divide all of them seprately to get your decimal amount
3/14, 2/7, 1/2
1st you would need to find a common denominator which would be 14.
3/14 =3/14
1/2 = 7/14
2/7 = 4/14
Then you can compare them easier and see that the order is 3/14, 2/7, 1/2
Hope this helps :D
Lauren bought x boxes of cookies to bring to a party. Each box contains 12 cookies.
She decides to keep two boxes for herself. She brings 60 cookies to the party. Write
an equation that can be used to find the number of boxes, x, Lauren bought.
Answers
Answer:
12x-2=60
Step-by-step explanation:
since there are 12 cookies per box, u could multiply it by x boxes, and since she kept 2 you would need to subtract it from your total.
.21 is what percent of $3.50
Answers
Answer:
6%
To find 6 percent of a number, multiply the number by 0.06. In this instance, 3.5 x 0.06 = 0.21, or twenty-one hundredths.
Step-by-step explanation:
Answer:
0.21 / 3.50 × 100%
= 21/350 × 100%
= 3/50×100%
= 3×2%
=6%
Step-by-step explanation:
brainliest plz