Answer:
36
Step-by-step explanation:
48=√(64*x)
2304=64*x
x=36
The missing length x of the triangle is 36.
What is Altitude of a Triangle?Altitude of a triangle is defined as the perpendicular distance drawn from a vertex to the opposite side of the triangle.
Every triangle will have three altitudes.
We can see that,
Given is a right angle triangle.
The side with length 64 + x is the hypotenuse.
Altitude drawn to the hypotenuse forms two similar triangles.
Corresponding sides of two similar triangles are proportional.
So, we can write it as,
48 / 64 = x / 48
Doing the cross multiplication,
64x = 48 × 48
64x = 2304
Dividing both sides by 64, we get,
x = 2304 / 64
x = 36
Hence the missing side length is x = 36 using the Right Triangle Altitude Theorem.
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An account with an initial balance of $5000 earns 5% interest for 3.5 years.
What is the ending balance?
Enter your answer in the box.
20 POINTS
Answer:
$875
Step-by-step explanation:
5000 x 0.05 x 3.5 = $875
The ending balance is =$5875
Simple interest of an account:Simple interest is calculated with the formula below:
[tex]si = \frac{p \times t \times r}{100} [/tex]
where, initial balance (principal) = $5000
time = 3.5 years
rate= 5
[tex]si = \frac{5000 \times 3.5 \times 5}{100} [/tex]
[tex]si = \frac{87500}{100} [/tex]
[tex]si = 875[/tex]
Therefore the ending balance is= simple interest+ initial balance
Ending balance = 5000+ 875
= $5875
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Find the perimeter of a regular octagon with an apothem of 6 feet and an area of 120 square feet
Step-by-step explanation:
A = (n × s × a)2 A = ( n × s × a ) 2
(120×6)2
240×12
2880
The perimeter of the Octagon is P = 30 feet
What is the perimeter of a polygon?The perimeter of the regular polygon with apothem and area is given by the equation
Perimeter of Polygon P = ( Area x 2 ) / Apothem
where apothem is a line from the center of a regular polygon at right angles to any of its sides
Given data ,
Let the perimeter of the octagon be represented as P
Now , the apothem a = 6 feet
The area of octagon A = 120 feet²
where Perimeter of Polygon P = ( Area x 2 ) / Apothem
P = ( 120 x 2 ) / 6
P = 30 feet
Therefore , the value of P is 30 feet
Hence , the perimeter of polygon is 30 feet
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S. The area of a stage for a concert is 216 square feet. The length is 6 times the width. Find the dimensions of
the stage
Answer:
Width=6 Length=36
Step-by-step explanation:
The stage is rectangular since the length is not equal to width.
We use the formula (Width × Length) to obtain the area of any rectangle.
But the Length is 6 times the Width, therefore we equate the formula for the area of stage as
Width × 6Width = 216
we get Width as 6 and 6width which is the length as 36
Sheila works at a fine jewelry store and earns a commission on her total sales for the week. She earned $900 in commission this week. She sold $23,000 worth of jewelry to earn that commission. Express her rate of commissions a percent.
Answer:
3.913%
Step-by-step explanation:
We are given that Sheila earned is commission $900 for selling $23,000 worth of jewelry, and we are asked to find the rate of her commissions as a percent.
The rate of commissions would basically just be what percent of the money made does she get. Since Sheila sold $23,000 worth of jewelry and got $900 for doing so, her rate of commission would be:
900 ÷ 23,000 ≈ 0.03913
Which expressed as a percent is:
3.913%
So her rate of commissions would be 3.913%.
I hope you find my answer to be helpful. Happy studying.
I WILL GIVE U BRAINLYIST
You decide to take out an insurance policy that will
cover your home if an earthquake were to occur.
The policy is $350 per year. In the case of an earthquake, the insurance company will repay you $225,000. The chances of an earthquake in your area is 0.02.
What is the expected value?
$4,150.00
0 $3,025.00
0 $-1,250.00
$-350.00
ADVANCE TOPICS!!
Use the diagram to answer the question. What is the measure of ∠A?
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 90 degrees
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
2. A 12-ounce bottle of fruit juice costs
$1.50. At that rate, how much would a
22-ounce bottle of fruit juice cost?
A $3.30
B $2.75
C $1.33
D $0.13
Answer quick PLZZ no Website
Answer:
Costs $2.75
Step-by-step explanation:
Set up:
[tex]\frac{12}{1.50} = \frac{22}{x}[/tex]
Cross Multiply:
12x = 33
Divide by 12:
x = $2.75
Answer:
£2.74
Step-by-step explanation:
hioe this helps!
have a good day :)
Last week, the price of almonds was $8.95 per pound. This week, almonds at the same store were on sale at a 15% discount. What is the total price of 2½ pounds of almonds this week at the store? *
Answer:
$19.02
Step-by-step explanation:
15% of 8.95 = 1.3425
one pound = 8.95 = 1.34 = 7. 61
half a pound = 3.805
7.61 + 7.61 + 3.8 = 19.02
Answer:
$19.02
Step-by-step explanation:
is the correct answer
I NEED HELP!!
This is a another question, I'll give you 50 points and a brainlist if you figure this out, all you have to do is to Solve the following multi-step equation, and write it out and describe it on a piece of paper or on your computer don't send me links, send me screenshots of your work show me how you did it.
Answer: True for all x
Step-by-step explanation:
4x - 6 + 2x = 3(2x-2)
Group Like Terms: 4x+2x - 6 = 3(2x-2)
Add Similar Elements (4x+2x=6x): 6x - 6 = 3(2x-2)
Expand: 3(2x-2) ; 6x - 6
6x - 6 = 6x - 6
Add 6 to Both Sides: 6x - 6 + 6 = 6x - 6 + 6t: 6x - 6x = 6x - 6x
Simplify: 6x = 6x
Subtract: 6x - 6x
Simplify: 0 = 0
Both sides are equal in this equation, therefore all values for x is true.
Hope This Helped, Have A Great Day!
it is true
Answer:
left hand side6+2x
6x-6
right hand side
3(2x-2)
6x-6
now
6x-6=6x-6
0=0
Which statement below about roots is false.Immersive Reader (5 Points) Simplified radicals have a positive and a negative root. A radicand is the symbol used when working with roots. Exponents and Roots are inverses Roots can be squared, cubed, quadrupled. Or more.
Answer:
Statement (B)
Step-by-step explanation:
Which statement below about roots is false?
Let's arrange the statements by assigning option-letters a, b, c, d to them.
(A) Simplified radicals have a positive and a negative root.
This is true, as the root of any number is either a positive or a negative; especially if the rooting index is an even number like 2 or 4. For example, the square root (when the index is 2) of 9 is either +3 or -3. To check, find their squares. +3 x +3 = 9 and -3 x -3 = 9.
(B) A radicand is the symbol used when working with roots.
This statement is false, as the name for the symbol used in root operations is "radical symbol". A radicand is the number or expression whose roots are about to be found. It is the expression that lies under or inside the radical symbol!
(C) Exponents and Roots are inverses.
Exponents are the powers to which mathematical expressions are raised. Roots are the indexes by which mathematical expressions are divided. Exponents are hence the opposites or inverses of roots.
(D) Roots can be squared, cubed, quadrupled, or raised to higher powers.
Yes! The root of a mathematical expression or figure can be raised to any number or power, be it 2 (square), 3 (cube), 4 (quadruple), 5 (quintuple) or 100 (cent).
Ben decides to start a business walking dogs and cleaning swimming pools. It
takes him 15 minutes to walk one dog and 20 minutes to use a skimmer and clean
one swimming pool.
Which expressions would represent how long it would take ben to walk some dogs and clean some swimming pools?
A.
15+20
B.
15x + 20x
C.
35 + 20x
D.
20 + 35 + 2
Answer:
It would be B (15x + 20x)
SOMEONE HELP ME NOW AND ASAP PLEASE !
Answer: C, 1/9
Step-by-step explanation:
Answer:
C: 1/9Hope this helped you! If it did please give brainliest!
Please dont forget to give a thanks and leave a rating!
Jacob is ordering baseball gloves for 214 league members. If the gloves are packed in boxes of 8, what is the least number of boxes Jacob needs to order?
Answer:
26.75 so 27
Step-by-step explanation:
214 divided by 8 = 26.75
Answer:
27 boxes
Step-by-step explanation:
214 ÷ 8 = 26.75
Because you can't get .75 of a box, Jacob needs at least 27 boxes.
Hope this helps! :)
What is the standard form of 5.58 x 10²
Answer:
558
Step-by-step explanation:
5.58 × 10²
558
What is one factor of 5x^2+13x-6 with work please.
Find the 14th term of the arithmetic sequence 10 20 40
Answer:
the answer is 81,920 I hope this helps you!!
What is the slope of the line?
Answer:
1/3
Step-by-step explanation:
Slope formula: y2 - y1/x2 - x1
PLEASE HELP MEE FAST
Answer:
B
Step-by-step explanation:
Answer:
The correct answer would be B: 12/5
Which expression is NOT equivalent to 40 + 20
Answer:
4(10 + 16)
Step-by-step explanation:
40 + 20 = 60, so none of the answers can be 60.
Let's look at all of the answer choices:
10(4 + 2) = 60
4(10 + 16) = 104 (this is the answer!)
5(8 + 4) = 60
2(20 + 10) = 60
Daniela decorating her room She has 14 shades of paint, 6 styles of furniture, and 11 flooring options to choose from . How different ways can she decorate the room ?
Answer:
924
Step-by-step explanation:
14*6*11=924
Hope this helps!
Write the expression using a positive exponent. Leave in fraction form and do not expand numbers, leave in exponential form.
For example, 2^-7 write as 1/2^7, do NOT write as 1/128 or 0.0078125. NO SPACES!
4w^-1
Answer:
Step-by-step explanation:
4w⁻¹ = 4/w¹ = 4/w
please help I need this urgently
The art club is designing a rectangular mural for the school hallway. Three corners are located at (-1, -1), (-1, 1), and (4, 1) on teh coordinate plane. What would be the forth vertex on the coordinate plane below?
Answer:
The fourth vertex must be located at [tex]Z(x,y) = (4, -1)[/tex]. The graph of the figure is included below.
Step-by-step explanation:
Let be [tex]X(x,y)[/tex], [tex]Y(x,y)[/tex], [tex]Z(x,y)[/tex] and [tex]W(x,y)[/tex] so that a rectangle is formed. Hence, we must satisfy the following conditions:
[tex]X(x,y) = (a, c)[/tex] (1)
[tex]Y(x,y) = (a, d)[/tex] (2)
[tex]Z(x,y) = (b, c)[/tex] (3)
[tex]W(x,y) = (b, d)[/tex] (4)
[tex]a < b[/tex] (5)
[tex]c < d[/tex] (6)
If we know that [tex]a = -1[/tex], [tex]b = 4[/tex], [tex]c = -1[/tex], [tex]d = 1[/tex], then we have the following points:
[tex]X(x,y) = (-1, -1)[/tex]
[tex]Y(x,y) = (-1, 1)[/tex]
[tex]Z(x,y) = (4, -1)[/tex]
[tex]W(x,y) = (4,1)[/tex]
Then, the fourth vertex must be located at [tex]Z(x,y) = (4, -1)[/tex].
The unadjusted net income statement was $46850. After journalizing and posting the adjusted entry for the $2300 of dupplies used during the year, the adjusted net income is
Answer: $44,550
Step-by-step explanation:
Supplies used during the period are treated as expenses to the business so have to be deducted from net income.
If the supplies for the year was $2,300, the net income would be adjusted as follows:
= 46,850 - 2,300
= $44,550
Use the best method to solve each equation. Write answer as an ordered pair. Check your answers. 3x-y=18 Y=x-4
Answer:
Solution → (7, 3)
Step-by-step explanation:
Given system of equations is,
3x - y = 18 -------(1)
y = x - 4 ------- (2)
Substitution method is the best method to solve the given system of equations.
Substitute the value of y from equation (2) to equation (1)
3x - (x - 4) = 18
3x - x + 4 = 18
2x = 18 - 4
2x = 14
x = 7
From equation (2)
y = 7 - 4
y = 3
Solution of the system of equations will be (7, 3).
One winter day, the temperature increased from a low -5 degrees F to a high of 40 degrees F.BY how many degrees did the temperature change ?
Answer:
The temperature changed by 45˚
Step-by-step explanation:
Set up an algebraic equation
-5 + x = 40
Add 5 to both sides
x = 45
PLEASE HELP AFTER THIS I WILL GIVE TWO MORE QUESTION PLEASE HELP
Answer:
yes, yes, no, yes
Step-by-step explanation:
Follow the first triangle inequality theorem where the 2 smaller angle have to add up to greater than the larger angle.
Angel has a bag that contains orange chews, cherry chews, and lime chews. He performs an experiment. Angel randomly removes a chew from the bag, records the result, and returns the chew to the bag. Angel performs the experiment 52 times. The results are shown below:
A orange chew was selected 10 times.
A cherry chew was selected 20 times.
A lime chew was selected 22 times.
Based on these results, express the probability that the next chew Angel removes from the bag will be a flavor other than lime as a percent to the nearest whole number.
Answer:
58%
Step-by-step explanation:
Just do 0.576923 times 100% & you should get 57.6923% than round because it says nearest whole number so that's how your answer is 58% :)
HELP PLEASE ASAP i need the help right answers only!
Answer:
8
Step-by-step explanation:
good luck. hope this helps.