Answers
x^2 +x^2 = C^2
x^2 +x^2 = 15^2
x^2 + x^2 = 225
225/2 = 112.5 = x^2
sqrt(112.5) = 10.6066
round answer as needed
note the answer can also be written as 15sqrt(2)/2
Related Questions
Find the product of 20 x 9 x 5 tell which property you used
Answers
You first multiply 20 x 9, which equals 180, then you multiply 180 x 5, which equals 900.
I used associative property and the product of 20 x 9 x 5 is 900.
What is associative property?"The associative property states that when an expression has three terms, they can be grouped in any way to solve that expression. The grouping of numbers will never change the result of their operation. The associative property is true for the cases of addition and multiplication. Neither the sum nor the product of the expression changes."
For the given product of 20 x 9 x 5
I am using the associative property.
(20 x 9) x 5 = 900
First multiply 20 x 9, which gives 180
(180) x 5 = 900
Next multiply 180 x 5, which gives 900.
Hence, I used associative property and the product of 20 x 9 x 5 is 900.
Learn more about associative property here
https://brainly.com/question/14963382
#SPJ2
Where is the x-intercept(s) in the graph of y = (x-1)(x+8)/(x+8)(x-6)?
Answers
The x-intercepts are where the graph crosses the x-axis, in other words what x is when y = 0. This is only when the numerator is zero. After simplifying and factoring out the (x+8), y = 0 only when x = 1.
* When x = 6 the denominator is zero and the function is undefined. x = 6 would then be a vertical asymptote.
Answer:
B: 1
Step-by-step explanation:
Edge 2021
Large reusable bottles cost $4 more than small ones. 8 large bottles cost $24 less than 12 small ones. How much does one small bottles cost?
Answers
8 + 12 = 20
28-20=8
If be bisects abd find x and m angle abe
Answers
∠E and ∠F are vertical angles with m∠E=8x+8 and m∠F=2x+38 . What is the value of x? Enter your answer in the box.
Answers
Answer:
x = 5
Step-by-step explanation:
We need to remember that vertical angles are opposite to each other when two lines cross. The vertical angles that result from two lines crossing have the same measure.
In this problem we have angle E which measures 8x + 8 and angle F which measure 2x + 38.
Since they are vertical angles, we know that they have the same measure and therefore we can equal them both and solve for x:
[tex]8x+8=2x+38\\8x-2x=38-8\\6x=30\\x=5[/tex]
Therefore, x = 5 (and ∠E = ∠F = 48)
One canned juice drink is 30 percent orange juice, another is 10 percent orange juice. how many liters of each should be mixed together in order to get 20l, that is 12 perfect orange juice
Answers
0.30x+0.10(20-x)=20*0.12
0.3x+2-0.1x=2.4
0.2x=0.4
x=2
20-x=20-2=18
mix 2 litters of 30 percent juice and 18 litters of 10 percent juice.
What is the value of x?
a. -16
b. 120
c. 60
d. 16
Answers
Set the equation:
8x - 8 = 7x + 8
Add 8 to both sides of the equation.
8x - 8 + 8 = 7x + 8 + 8
8x = 7x + 16
Subtract 7x from both sides of the equation.
8x - 7x = 7x - 7x + 16
x = 16
Answer: D) 16
Checking to see if our answer is right.
8x - 8 = 7x + 8
8(16) - 8 = 7(16) + 8
128 - 8 = 112 + 8
120 = 120
Need help please
What is the result of dividing 2x^3−3x^2−17x+30 by x + 3?
2x^2+3x−8
2x^2−9x−44
2x^2+3x−26
2x^2−9x+10
What is the result of dividing x^3−7 by x + 2?
x^2−2x+4+15/x+2
x^2−2x+4+1/x+2
x^2−2x+4−1/x+2
x^2−2x+4−15/x+2
What is the remainder when the polynomial 6x^2+11x−3 is divided by 2x−1?
What is the remainder when the polynomial 5x^2+10x−15 is divided by x + 5?
Answers
Answers:
1. 2x^2−9x+10
2. x^2−2x+4+15/x+2 (don't forget to put 0's in for the coefficients of [tex] x^{2} [/tex] as well as [tex]x[/tex])
3. The remainder is 4. (In the new equation this would be written as [tex] \frac{4}{2x-1} [/tex])
4.The remainder is 60.
I included my last page of work in case it helps, but it is not step-by-step so if you have questions, please ask!
The quotient and remainder for the provided polynomial divisions are as follows: 1) 2x^2−9x−44, 2) x^2−2x+4+1/x+2, 3) Remainder 1, 4) Remainder 0.
Explanation:The process of dividing polynomials is similar to the long division method used in arithmetic. For your first question, the result of dividing 2x^3−3x^2−17x+30 by x + 3 comes out to be 2x^2−9x−44.
For the second question, when x^3−7 is divided by x + 2, the result is x^2−2x+4+1/x+2.
Coming to your third question, when the polynomial 6x^2+11x−3 is divided by 2x−1, the remainder is 1.
Lastly, when the polynomial 5x^2+10x−15 is divided by x + 5, the remainder is 0.
Learn more about Polynomial Division here:https://brainly.com/question/36507743
#SPJ2
A regular 40-sided polygon is rotated with its center of rotation at its center. What is the smallest degree of rotation needed to map the polygon back on to itself?
Answers
(40 - 2) (180) /40 = 171 degrees
The interior angle is also the smallest angle that is needed to rotate the polygon and map it unto itself. So, the smallest degree of rotation needed to map the polygon back to itself is 171 degrees.
Answer:
9 degrees
Step-by-step explanation:
i dont know what the other guy is talking about, its 360/40=9
If an open box has a square base and a volume of 115 in.3 and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction. (round your answers to two decimal places.)
Answers
x = side length of the base.
Volume of the box is [tex]V=x^{2} h = 115 [/tex].
So [tex]h = \frac{115}{ x^{2} } [/tex]
Surface area of a box is S = 2(Width • Length + Length • Height + Height • Width).
So surface area of the box is
[tex]S = 2( x^{2} + hx + hx) \\ = 2 x^{2} + 4hx \\ = 2 x^{2} + 4( \frac{115}{ x^{2} } )x[/tex]
[tex]= 2 x^{2} + \frac{460}{x} [/tex]
The surface are is supposed to be the minimum. So we'll need to find the first derivative of the surface area function and set it to zero.
[tex]S' = 4x- \frac{460}{ x^{2} } = 0[/tex]
[tex] 4x = \frac{460}{ x^{2} } \\ 4x^{3} = 460 \\ x^{3} = 115 \\ x = \sqrt[3]{115} = 4.86 [/tex]
Then [tex]h= \frac{115}{4.86^{2}} = 4.87 [/tex]
So the box is 4.86 in. wide and 4.87 in. high.
He _______ tells us that for a population with any distribution, the distribution of the sample means approaches a normal distribution as the sample size increases.
Answers
HELP PLEASE APPRECIATED Margarita is driving at the speed of s-4/ s^2- 9s + 20 miles per hour.
The distance Margarita covers in s-5/4 hours is ___ miles.
Give the answer in simplest form.
Only correct answers and please show your work so I can refer to it on my other problems. thank you.
Answers
d = [(s – 4) ⁄ (s² – 9s + 20)] • [(s – 5) ⁄ 4] ... rearrange terms
d = (s – 4) • (s – 5) ⁄ [4(s² – 9s + 20)] ... factor denominator
d = (s – 4) • (s – 5) ⁄ [4(s – 4) • (s – 5)]
d = ¼ mile
The distance Margarita covers in [tex]\( \frac{s-5}{4} \)[/tex]hours is [tex]\( \frac{1}{4} \)[/tex] miles.
Given that Margarita is driving at the speed of [tex]\( \frac{s-4}{s^2 - 9s + 20} \)[/tex] miles per hour, we can express the distance function as:
[tex]\[ d(s) = \text{speed} \times \text{time} = \left( \frac{s-4}{s^2 - 9s + 20} \right) \times s \][/tex]
[tex]\[ d\left(\frac{s-5}{4}\right) = \left( \frac{s-4}{s^2 - 9s + 20} \right) \times \frac{s-5}{4} \][/tex]
Let's simplify this expression:
[tex]\[ d\left(\frac{s-5}{4}\right) = \frac{(s-4)(s-5)}{4(s^2 - 9s + 20)} \][/tex]
[tex]\[ d\left(\frac{s-5}{4}\right) = \frac{s^2 - 9s + 20}{4(s^2 - 9s + 20)} \][/tex]
[tex]\[ d\left(\frac{s-5}{4}\right) = \frac{1}{4} \][/tex]
Are the following equations parallel, perpendicular, the same line, or none of these -4x = -5y + 30
5y = -4x + 30
Answers
Answer:
parallel
Step-by-step explanation:
Fencing costs $10.15/ft. A customer purchases 8 3/8 ft of fencing for his yard. How much did the customer pay for the fencing? Round to the nearest cent.
Answers
Consider the system of equations
{ -2x + 6y = -8
{ cx + 3y = -4
What value of c would produce a system that has an infinite number of solutions?
Justify your answer.
Explain why there is no value of c that would produce a system with no solution.
Enter your answer, justification, and explanation in the box provided.
Answers
Make c = -1 and they are the same linear equation. (same slope, same intercepts, same line) and therefore have infinite solutions.
In order to have no solutions, the lines cannot cross at all and so they must be parallel but not the same line. Parallel lines have the same slope with different intercepts. if you rearrange both equations in slope intercept form:
y = x/3 - 4/3
y = - cx/3 - 4/3
no matter what you make c the lines will always cross at the y-intercept (0, -4/3). this is a solution and therefore there's no value of c that would produce a system with no solution.
Find the measure of angle e.
A. 70°
B. 130°
C. 100°
D. 110°
Answers
The sum of the measures of the angles d and g is equal to 180°. Or in other words, they are supplementary.
Knowing this, we can use algebra to build an equation and solve for g.
70° + m∠g = 180°
m∠g = 110°
And finally, using the knowledge of vertical lines, ∠g is complementary to ∠e.
So, m∠e is equal to 110°.
4=3/4m-6
find the value of m
Answers
4 = 3/4m -6
add 6 to both sides
10 = 3/4m
divide both sides by 3/4
m = 10 / 3/4 = 10 *4 = 40 /3 = 13 1/3
You are offered an item for $17.85. If the seller states he normally sells the same item for $19.95, what percentage discount is he offering you?
Answers
Answer:
Find out the what percentage discount is seller offering you .
To prove
Formula
[tex]Discouunt\ percentage = \frac{Discount\times 100}{Marked\ price}[/tex]
Discount = Marked price - Selling price
As given
You are offered an item for $17.85. If the seller states he normally sells the same item for $19.95 .
Here
Marked price = $19.95
Selling price = $17.85
Discount = 19.95 - 17.85
= $2.1
Put in the formula
[tex]Discouunt\ percentage = \frac{2.1\times 100}{19.95}[/tex]
[tex]Discouunt\ percentage = \frac{210}{19.95}[/tex]
Discount percentage = 10.5% (Approx)
Therefore the discount is seller offering you is 10.5 % .
Find the value of X, can someone help me?
Answers
72(3x - 20) = 9 (56)
216x - 1440 = 504
216x = 1944
x = 9
Factor this expression completely.
mr + ns - nr - ms
Answers
[tex]mr+ns-nr-ms[/tex]
Rearrange.
[tex]mr-nr-ms+ns[/tex]
Factor by grouping.
[tex]r(m-n)+s(-m+n)[/tex]
Multiply the expression by -1.
[tex]r(m-n)-1(+s(-m+n))[/tex]
Simplify.
[tex]r(m-n)-s(m-n)[/tex]
Find the GCF.
[tex](m-n)(r-s)[/tex]
Hope this helps.
-Benjamin
In triangle XYZ, m∠Z > m∠X + m∠Y. Which must be true about △XYZ?
Answers
The average mass of a kernel of popcorn is 0.125 g. if 1 pound = 16 ounces, and 1 ounce = 28.3 g, then how many kernels of popcorn are there in 0.500 pounds of popcorn?
Answers
1 pound = 16 ounces, and 1 ounce = 28.3 g
how many kernels of popcorn are there in 0.500 pounds of popcorn = ?
0.500 pound = 16 x 0.500 ounces = 8 ounces
8 ounces = 8 x 28.3g = 226.4 g
Now divide this quantity by average mass;
226.4 / 0.125
= 811.2 kernels of popcorn
Final answer:
To find the number of kernels of popcorn in 0.500 pounds, first convert the weight to grams and then divide by the average mass of a kernel. The calculation gives an approximate result of 1811 kernels.
Explanation:
To determine the number of kernels of popcorn in 0.500 pounds, we need to convert the weight from pounds to grams and then divide by the average mass of a kernel.
First, let's convert pounds to ounces. Since 1 pound is equal to 16 ounces, we have:
0.500 pounds = 0.500 x 16 = 8 ounces.
Next, let's convert ounces to grams. Since 1 ounce is equal to 28.3 grams, we have:
8 ounces = 8 x 28.3 = 226.4 grams.
Finally, divide the total grams by the average mass of a kernel:
226.4 grams / 0.125 grams = 1811.2 kernels.
Therefore, there are approximately 1811 kernels of popcorn in 0.500 pounds.
You claim to have a magic coin that will land on heads whenever you want. Your friend dares you to prove it by tossing 4 heads in a row. Assuming the coin is fair, what is the probability that your magic will fail?
A) 50%
B) 62.5%
C) 75%
D) 93.75%
Answers
because every time you flip it, you lose half the chance for it to land on heads
50%-75%-93%
D) 93.75%
HELP
IMPORTANT 20 POINTS
Answers
volume of tub = 20 *10*10 = 2000cm^3
2000*1/16 = 2000/16 = 125 cubic cm of ice scream left
volume of sphere = 4/3*3.14*3^2 = 37.68 / 2 = 18.84
volume of cone = 18.84
18.84 = 1/3 *3.14*r^2*h
18.84 = 9.42*h
h = 18.84 / 9.42 = 2.00 inches tall
With calculations please
Answers
Widgets are $3 each ; gadgets are $5 each.
The boss wants AT LEAST 10 widgets and 20 gadgets and total must reach AT MOST $300 per day.
Your inequalities would be:
x ≥ 10 (there must be greater than or equal to 10 widgets made)
y ≥ 20 (there must be greater than or equal to 20 gadgets made)
3x + 5y ≤ 300 (the cost must be less than or equal to 300)
The solution is H.
6) Solve for all possibilities.
I) f(k) + g(k)
= -4k⁴ + 14 + 3k² + (-3k⁴ - 14k² - 8)
= -4k⁴ + 14 + 3k² - 3k⁴ - 14k² - 8
Combine like terms.
= -7k⁴ - 11k² + 6
II) h(k) - r(k)
= 8k⁴ - 3 - 10k² - (-k² + 12k⁴ + 6)
= 8k⁴ - 3 - 10k² + k² - 12k⁴ - 6
= -4k⁴ - 9k² - 9
III) s(k) - t(k)
= -3k⁴ + 5k² - 1 - (4k⁴ + 16k² - 7)
= -3k⁴ + 5k² - 1 - 4k⁴ - 16k² + 7
= -7k⁴ - 11k² + 6
There are only two that result in equivalent expressions which are I and III.
Solution : I and III.
Which of the following numbers is not part of the solution to x > 1?
1
1.2
4
8
Answers
Answer:
the answer is 1
hpoe this helps
Branliest offered
Decide which of the two points on the graph of the line
X=0
A. 0,7
B. -4,0
Answers
hope this helps
Which expression can be used to change 75 kilometers per hours to meters per minute?
Answers
1 km = 1000 m, so you can have the fraction (1 km)/(1000 m) or the fraction (1000 m)//(1 km). You must choose the correct one for this problem.
1 hr = 60 min, so you can have the fraction (1 hr)/(60 min) or the fraction (60 min)/(1 hr). Again, you must choose the correct one for this problem.
The important thing is to choose the correct fraction from the choices.
How do you know which conversion fractions to use?
You look at the given units and the units you want.
You must pick the conversion fraction that will cancel out the units you DON'T want, leaving the units you want.
You have a speed in km/hr.
km is in the numerator. To cancel out km, you must pick the conversion fraction that km in the denominator.
hr is in the denominator. To cancel out hr, you must pick the fraction that has hr in the numerator.
[tex]75 \frac{km}{hr} \times \frac{1000~m}{1~km} \times \frac{1~hr}{60~min} [/tex]
Notice that km and km cancel out leaving m.
Also, hr and hr cancel out leaving min.
Why do elephants have pointy tails
Answers
So I’m doing test corrections and I need help on the problem
Answers
_________________________________________
Note: [w^(-4/3) ] ^ (1/6) = w ^ [ (-4/3) * (1/6) .
_________________________________________
(-4/3) * (1/6) = (-4 * 1) / (3 * 6) = -4 / 18 = (-4÷2) / (18÷2) = -2/9 ;
_________________________________________
So; [w^(-4/3) ] ^ (1/6) =
_________________________________________
w ^(-2/9) .
_________________________________________