Answer:
a = 12
Step-by-step explanation:
Pythagorean Theorem: A^2 + B^2 = c^2
9^2 + b^2 = 15^2
81 + b^2 = 225
225 - 81 = 144
[tex]\sqrt{144}[/tex] = 12
Have an amazing day!!
Good luck on your test!!
Please rate and mark brainliest!!
Step-by-step explanation:
use the picture as reference and solve accordingly
best of luck for your test
a shopkeeper selling an article at discount of 20% looses rs 400 if he allow 10% discount he gains rs 200 find the marked price and the cost price of the article
Answer:700
Step-by-step explanation:
Let the M.P of the article be x .
A discount of 20% was given on the M.P .
So the selling price of the article ( S.P ) will be M.P - Discount .
Discount = 20 % of x
⇒ Discount = 20/100 of x
⇒ Discount = 1/5 × x
⇒ Discount = x/5
Now S.P = M.P - Discount .
⇒ S.P = x - x/5
⇒ S.P = ( 5 x - x ) / 5
⇒ S.P = 4 x / 5
The shopkeeper loses Rs 200 .
Loss = C.P - S.P
⇒ C.P = Loss + S.P
⇒ C.P = 200 + 4 x / 5
⇒ C.P = ( 1000 + 4 x )/5
Now if he allows 10 % discount then the gain is Rs 150 .
Gain = S.P - C.P
⇒ S.P = Gain + C.P
⇒ S.P = 150 + ( 1000 + 4 x )/5
⇒ S.P = ( 750 + 1000 + 4 x )/5
⇒ S.P = ( 1750 + 4 x )/5
Discount = 10 % of x .
⇒ Discount = 10/100 × x
⇒ Discount = x/10
S.P = M.P - Discount
⇒ ( 1750 + 4 x )/5 = x - x/10
⇒ ( 1750 + 4 x )/5 = 9 x / 10
⇒ 1750 + 4 x = 9 x / 2
⇒ 3500 + 4 x = 9 x
⇒ 9 x - 4 x = 3500
⇒ 5 x = 3500
⇒ x = 3500/5
⇒ x = 700
I NEED THE ANSWER |(-2+1)*3)|
Answer:
The answer is 3
Step-by-step explanation:
add -2+1 first equal -1 flip -1 to positive equal 1. Multiply 3*1 and that equals 3
choose the name of the highlighted part.
Answer:
B.edge it is the correct answer!
Nathan is going to invest in an account paying an interest rate of 4. 9% compounded continuously. How much would Nathan need to invest, , for the value of the account to reach $34,000 in 9 years?
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$34000\\ P=\textit{original amount deposited}\\ r=rate\to 4.9\%\to \frac{4.9}{100}\dotfill &0.049\\ t=years\dotfill &9 \end{cases} \\\\\\ 34000=Pe^{0.049\cdot 9}\implies 34000=Pe^{0.441}\implies \cfrac{34000}{e^{0.441}}=P\implies 21875.35\approx P[/tex]
George bought a 3-pound bag of potatoes and a 32-ounce bag of carrots. How many pounds of vegetables did George buy?
A) 3 pounds
B) 5 pounds
C) 6 pounds
D) 8 pounds
Answer:
5
Step-by-step explanation:
1 pound = 16 ounces
32/16 = 2
2 + 3 = 5
So therefore he bought 5 pounds of vegetables.
Four interior angles of a pentagon measure 88°, 118°, 132°, and 100°. What is the measure of the fifth interior angle? 82° 92° 102° 112°.
the sum of all interior angles in a polygon is
180( n - 2), n = number of sideswe know this one is a PENTAgon, so it has 5 sides, so the total for the interior angles will be
180( 5 - 2) = 540 degrees.
540° - 88° - 118° - 132° - 100° = 102° <- fifth angle.
The final interior angle of the pentagon measures 102°.
What is the measure of the fifth interior angle?We know that for a figure of n sides, the sum of its interior angles is equal to:
S = (n - 2)*180°
Then for a pentagon, 5 sides, we have:
S = (5 - 2)*180° = 3*180° = 540°
Then if X is the missing interior angle, we must have:
88° + 118° + 132° + 100° + X = 540°
438° + X = 540°
X = 540° - 438° = 102°
So the measure of the last interior angle is 102°.
If you want to learn more about interior angles:
https://brainly.com/question/24839702
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Describe what happens to a figure when the given sequence of transformations is applied
to it: (x, y) → (-x, y); (x, y) → (0.5x, 0.5y); (x, y) → (x - 2, y + 2)
(If you answer this you will get 100 points for answering in brainly)
Answer:
After the sequencing of transformations, reflection over the y-axis.
dilation with a scale factor of 0.5
translation 2 units left and 2 units up
Step-by-step explanation:
Skye plans to attend a 4-year public university. She will receive $4,300 in scholarships and grants each year, and she will earn $2,100 each year through a work study program.
Including her financial aid, what is Skye’s estimated cost per year? $
Skye’s family will contribute $7,000 each year. How much will Skye need to contribute? $
If Skye currently has $0 in savings, she will need to save $
each month.
If Skye currently has $1,000 in savings, she will need to save $
each month.
If Skye currently has $2,500 in savings, she will need to save $
each month
Answer:
1.95
Step-by-step explanation:
SOMEONE PLS HELP ME !!!!
What is the number halfway between 8516 and 8586?
Answer:
8551
Step-by-step explanation:
The midpoint of two numbers can be found by finding the mean of the two numbersMidpoint = 8516 + 8586 / 2We clearly see both numbers start with the digits '85' therefore their midpoint will also start with '85'The remaining two digits on those two numbers should be added and divided by 2⇒ 16 + 86 / 2 = 102/2 = 51Midpoint = 8551This figure represents the base of an aquarium that is 9 inches high.
What is the volume of the aquarium?
558 in³
612 in³
702 in³
810 in³
Answer:
Step-by-step explanation:
Answer:
558 in³ for K12
Evaluate the expression 10 + (8 - 4)2 ÷ 2.
Answer:
10 + (8 - 4)2÷2
10 + (4)2 ÷2
10 + 8 ÷ 2
10 + 4
= 14
Jennifer is looking to lease a car. bob’s auto has a car available with a money factor of 0.00344. aaa auto has the exact same car available with a money factor of 0.00313. which of the following statements is true? a. the lower money factor with bob’s auto will give jennifer the lowest monthly payment. b. the lower money factor with aaa auto will give jennifer the lowest monthly payment. c. the higher money factor with bob’s auto will give jennifer the lowest monthly payment. d. the higher money factor with aaa auto will give jennifer the lowest monthly payment.
Answer:
B. The lower money factor with AAA Auto will give Jennifer the lowest monthly payment
You have just inherited $150,261 from a trust that has matured. You would like to invest the total amount into an account that pays you an annual compounded interest rate of 9. 1%, and you would like to make annual withdrawals over the next 20 years such that by the end of this 20 year period, the amount remaining in the account will be zero dollars. Determine, from the given information, the amount of the annual withdrawals. Round to the nearest cent. A. $16,578. 03 c. $15,978. 10 b. $162,851. 31 d. $15,575. 98.
Answer:
C
Step-by-step
The amount of the annual withdrawals will be $16,574.24.
The given data in the problem is;
P = annual payment
PV= present value = $150,261
r= rate of intreast = 9.1% =9.1/100= 0.091
n = time period= 20
What is the formula for the annual payment ?[tex]P=\frac{r\times PV}{1-(1+r)^{-n}}[/tex]
[tex]P=\frac{0.091\times 150261}{1-(1+0.091)^{-20}}[/tex]
[tex]P=16754.24[/tex]
Therefore, the amount of the annual withdrawals will be $16,574.24.
To learn more about the amount visit:
https://brainly.com/question/25870256
look at pic please and answer
Can some please explain and solve how to do these unit rate equations?
Multiply. Write your answer in simplest form. 2 5/6x2/5
Answer:
17/15
Step-by-step explanation:
2 5/6 x 2/5
convert 2 5/6 into improper fraction
17/6 x 2/5
cancel out the greatest common factor which would be the 6 and the 2
17/3 x 1/5
multiply straight across
17/15
could also be written as 1 2/15 or 1.13
Please help me with this math question. I will give brainliest!! :D
Answer:
C
Step-by-step explanation:
what steps are used to solve this equation x/2=7 complete each statement
Answer:
x=14
Step-by-step explanation: Multiply all terms by the same value to remove denominators from fractions,Cancel the multiplied terms that are in the denominator, Multiplica los números
A pair of pants has been marked down from $36 to $27.
Answer:
Step-by-step explanation:
The percentage decrease is 25% or 36 subtract 27 gives you 9
how to solve 3x - y = -1 and -3x - y= 5
complete the proof, word bank at the bottom HELP PLEASE LOL
Given: ∠VYZ≅∠YWX, m∠VZY+m∠ZYX=180°
Prove: △ZVY∼△XYW
Answer:
Step-by-step explanation:
3) Definition of supplementary angles
4) Consecutive interior angles converse
5) Alternate interior angles
6) AA similarity
solve the equation f'(x) = 0:
Break it down gently
f(x) = 1 - sin⁴3x + cos6x/6
let's break ( - sin⁴3x) and (Cos6x/6) and 1 separately
the derivative of ( -sin⁴3x) = 12cos3xsin³3x
the derivative of (cos6x/6) = -sin6x
the derivative of (1) = 0
f'(x) = 0
12cos3xsin³3x - sin6x = 0
Will give brainliest <333
On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 8 kg weighs 80 N. Calculate the mass of another object that weighs 100 N.
This isn't my work, though it's the answer to your question.
Answer:
The weight of an object when the mass is 10 kg will be 30 N.
Step-by-step explanation:
8/10 = 24/x
Cross multiply
8x = 24 × 10
8x = 240
x = 240/8
x = 30
Answer:
I’m just answering for him to get brainliest :)
Step-by-step explanation:
At what point does the line given by the following equation cross the y-axis? y = (6/9)X + 9
A. (9,0)
B. (0,6/9)
C. (0,9/6)
D. (0,9)
Answer:
D
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{6}{9}[/tex] x + 9 ← is in slope- intercept form
with y- intercept c = 9
then the line crosses the y- axis at (0, 9 )
PLS HELP ME I WILL MARK THE BRAINIEST 50 POINTS!!!!!!
Answer:
Done. Check comments
Step-by-step explanation:
Inscribed angles are half the measure of the intercepted arcs. This example shows major arc BEA being intercepted by the supplement of 74, which is 106. If you double that, you get the arc, 212.
The next example shows 80 and 154 are intersected by two chords. The angle created by that intersection is the average of the two intercepted arcs. 117.
When two secant lines intersect, they form an angle that is half the measure of the DIFFERENCE of the intercepted arcs. 145 - 53 = 92/2 = 46.
This is similar to the previous one. Except the difference is between 263 and 97. ACTUALLY, I MADE AN ERROR on the comment about this one.
263-97 = 166/2 = 83***
What is the slope of the line containing the points (-1, -2) and (3, -5)? A. B. C. D.
Answer:
-7/4
Step-by-step explanation:
(-1,2) (3,-5)
x1 y1 x2 y2
-5-2=-7
3-(-1)=4
-7/4
HELP PLEASE!!!!!!!!!
James left a bin outside in his garden to collect rainwater. He notices that 1/4 gallon of water fills 2/3 of the bin. Write and solve an expression to find the amount of water that will fill the entire bin. Show your work. Explain your answer in words
Answer:
3 pints of water will fill up the bin
Step-by-step explanation:
1 gallon = 4 quarts
1/4 gallon = 1 quart
1 quart = 2 pints
That means that Two pints filled 2/3 of the bin meaning that one more pint will fill it up completely
A large grocery store chain pays all workers time and a half on Saturdays and double time on Sundays. If an employee's regular pay is $10.75 per hour, use the expression 10.75(1.5)(x) + 10.75(2)(y) to find their gross income if they worked 4.5 hours on Saturday and 5 hours on Sunday. (4 points)
$156.72
$177.38
$180.06
$257.44
Answer:
180.06
Step-by-step explanation:
We first need to sustitue x and y for the time workd on saturday and sunday :)
10.75(1.5)(4.5) + 10.75(2)(5)
Now we multpily in order!!
10.75(1.5)(4.5) + 10.75(2)(5)
72.56 + 10.75(2)(5)
72.56 + 107.50
Now we add!!
72.56 + 107.50
180.06
Your answer is 180.06 :)
Have an amazing day!!
Please rate and mark brainliest!!
the drop down box numbers are 39, 90, 120, and 180
Answer:
Im thinking the answer is 90.
Step-by-step explanation:
There are 360 and that is a small section for 120 or 180 people to all take a break at.
-Hope this helps!
-Justin