35 feet. The distance from the slide to the bench is 12 feet. Use the Pythagorean theorem to find the distance from the bench to the swings.
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the answer to this question is 37
Related Questions
What is the volume of a cube with a side length that measures 8cm? ANWSER ASAP please
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=512
If the sides of a cube are 2 meters long, then its volume is A) 8 m B) 8 m2 C) 8 m3 D) 8 m4 Eliminate
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The answer to your question would be:
C. [tex] 8m^{3} [/tex]
Hope this answer helps.
So 2 x 2 x 2
4 x 2 = 8 and because it's volume (and you are multiplying 3 numbers) the answer is 8m3 or C
How do you do this obe
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a*2 + 6 = 16
Subtract 6 from both sides
a= 10
= 3.16
A fourth degree polynomial with real coefficients can have -4, 8i,+4i, and as its zeros. True or false? Justify your answer.
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The given statement is false, as a fourth degree polynomial with real coefficients -4, 8i,+4i cannot be formed it will form three degree or cubic polynomial as given by f(x) = (x + 4)(x - 8i)(x - 4i)
What is Polynomial ?
Polynomial is an expression that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Polynomials can be classified based on degree as linear, quadratic, cubic, fourth degree.
Let f(x) represent the function with zeros 4, 8i , and 4i. Hence:
x = -4; 8i; x = 4i
x + 4 = 0; x - 8i = 0; x - 4i = 0
f(x) = (x + 4)(x - 8i)(x - 4i)
The three degree polynomial is given by f(x) = (x + 4)(x - 8i)(x - 4i)
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Luis skates 2/3 mile from his home to school. Isabella skates 2/4 mile to get to school. Who skates father?
Answers
The least common denominator of 3 and 4 is 12. This means that we have to change both fractions into equal fractions with denominators of 12.
To figure this out, we must set up a proportion.
2/3 = x/12
To solve this proportion, we must cross-multiply the fractions. We get:
24 = 3x
If we divide both sides by the coefficient of x which is 3, to get the variable x alone, we get:
x = 8
Therefore, 2/3 = 8/12, so Luis skates 8/12 mile from his home to school.
If we do the same process for the 2/4 mile to get to school for Isabella, we get 6/12, because both fractions are equal to 1/2.
Therefore, we know that Luis skates 8/12 mile to school and Isabella skates 6/12 mile to get to school. Because they have the same denominator, we can just compare the numerators. We know that 8 is greater than 6, thus Luis skates farther to get to school.
Final answer:
Luis skates further to school than Isabella, as 2/3 mile is greater than Isabella's distance of 1/2 mile after simplification.
Explanation:
The question revolves around figuring out who skates further to school, Luis or Isabella. Luis skates 2/3 mile from his home to school whereas Isabella skates 2/4 mile (which can be simplified to 1/2 mile) to get to school. To determine who skates further, we look at the fraction representing the distance each person skates.
Luis's distance is 2/3 mile, and Isabella's distance, after simplification, is 1/2 mile. Since 2/3 is greater than 1/2, Luis skates further to get to school than Isabella.
What is 5(x+10)+x simplified
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= 5x*2( square ) + 50
1st step - multiply 5 with everything in the parenthesis.
after multiplying everything in the parenthesis with 5 the answer will be - 5x+50+x.
2nd step - add like terms.
3rd - the answer will be 6x+50.
Hope it helps :)
How do u find the mean? I've never done this before the subject is try check and revise
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2,4,3,6,5
To find the mean you have to add those numbers
2+4+3+6+5 = 20
So you have to divide 5 by 20 because there are 5 number
20 divide 5 = 4
Mean equal 4
Answer,
The mean is the average of the numbers. It's quite simple to find the mean. All you do is, add all the numbers togter & divide by how many numbers there are. In simpler words, it is the sum divided by the count.
For example,
The mean of the numbers is, 50
Explanation,
20 + 30 + 40 + 50 + 60 + 70 + 80 = 380
Then we divide 350 by how many numbers there are, 7. Then we get 50.
Hope this helps :-)
what is the probability of randomly choosing a day of the week that dosen't begin with the letter t and the letter s
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Suppose that you have 4 shirts (red, green, blue, yellow) and 3 pairs of shoes (black, brown, red). If you choose your shirt and shoes randomly, what is the probability that your shirt and shoes will NOT be the same color?
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Of these 12 combos, only 1 has your shirt and shoes matching in color. This is when you pick the red shirt and red shoes. The other 12-1 = 11 outfits will not match.
The probability that you do not pick the same color shirt and shoes is 11/12 (exact fraction form) since there are 11 cases of nonmatching outfits out of 12 total. This is approximately equal to 0.9167 in decimal form which converts to 91.67%
This week Luis made 80% of what he made last week. If he made $72 this week, how much did he make last week
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Tim fisher received a 1200 discount loan to purchase a computer the loan was offered at 18% for 180 days find the interest in dollars and the proceeds for the following problem
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The interest is $106.30 and the proceeds is approximately $1093.70
Calculating simple interest.
The simple interest is the amount of interest charges on the amount being borrowed and its paid by the borrower.
The simple interest can be determined by using the formula;
[tex]S. I = \dfrac{p\times r \times t}{100}[/tex]
[tex]S. I = \dfrac{1200\times 18 \times \dfrac{180}{365}}{100}[/tex]
S.I = $106.30
The proceeds for the loan = Loan amount - interest
Proceeds = $1200 - $106.30
Proceeds = $1093.70
How does the graph of g(x)=⌈x⌉+0.5 differ from the graph of f(x)=⌈x⌉?
A. The graph of g(x)=⌈x⌉+0.5 is the graph of f(x)=⌈x⌉ shifted up 0.5 unit.
B. The graph of g(x)=⌈x⌉+0.5 is the graph of f(x)=⌈x⌉ shifted left 0.5 unit.
C. The graph of g(x)=⌈x⌉+0.5 is the graph of f(x)=⌈x⌉ shifted down 0.5 unit.
D. The graph of g(x)=⌈x⌉+0.5 is the graph of f(x)=⌈x⌉ shifted right 0.5 unit.
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To shift a function left, you add units to the independent variable.To shift it right, you subtract a constant from "x".
Example:
h(x)=⌈x+1⌉ is 1 unit left to f(x).
Answer: Here is your answer!! :)
Step-by-step explanation:
In the number 7,889 which contains digits where one digit is ten times the value as the other digit?
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Help from 1-3 show work please!!
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2. (n) + (n+1) + (n + 2)
(Not to sure of this one, xd)
3.
30x-40
If 16-7w=w+14-6w16−7w=w+14−6w16, minus, 7, w, equals, w, plus, 14, minus, 6, w, what is the value of w-1w−1w, minus, 1?
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Hope dis helps
Answer:
Value of w = 1
w - 1 = 1 - 1 = 0
Explanation:
We have 16 - 7w = w + 14 - 6w
Firstly, we will find the value of w.
In order to find the value of w, we will solve the linear equation for w.
Now combine like terms
16 - 14 = w - 6w + 7w
2 = 2w
2w = 2
w = [tex] \frac{2}{2} [/tex]
w = 1
Now we will find the value of w - 1
Plug the value of w = 1 into w - 1
1 - 1
= 0
So, final answer is 0
I hope it will help you.
Johanna wants to rent a car for 5 days, and she's interested in the loss damage waiver but not the collision damage waiver. If the daily rate is $29 and LDW totals $62 for the rental period, what is her total rental cost?
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$145+ $62= $207
Her total rental cost would be $207
Answer:
$207
Step-by-step explanation:
yw
What is the value of x in simplest radical form ?
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Hypotenuse = [tex] \sqrt{a^{2}+b^{2}} [/tex]
Substitute 20 for A and 21 for B
[tex] \sqrt{20^{2}+21^{2}} [/tex]
Solve exponents
20^2 = 400
21^2 = 441
Hypotenuse = [tex] \sqrt{400 + 441} [/tex]
Add
400 + 441 = 841
Hypotenuse = [tex] \sqrt{841} [/tex]
Solve square root
[tex] \sqrt{841}[/tex] = 29
Hypotenuse = 29
A coin is tossed 20 times. It lands on heads 14 times. What is the relative frecuencue of heads?
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Kevin works as a salesperson at a site that specializes in custom made computers. He earns a base pay of 325$ per week and a commission on his sales. If Kevin earned a total of $1125 last week, how much of it was commission?
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Answer:
$800
Step-by-step explanation:
Kevin works as a sales person at a site that specialize in custom made computers.
Kevin earns a base pay per week = $325
and a commission on his sales.
Kevin earned last week a total of = $1,125
So his commission = Total pay - his base pay
= 1,125 - 325
= $800.00
His commission was $800.
Justin is going to the school dance. He went to the mall and bought three new shirts for $21.99 each and a new pair of dress shoes for $45.59. Which two operations would be used in order to figure out how much he spent at the store?
A. add and divide
B. multiply and subtract
C. multiply and add
D. add and subtract
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Cost = (3×21.99)+45.99
Cost = $111.96
Which of the following had a graph that is wider than the graph of y=3x^2+2?
A. Y=3x^2+3
B. Y=0.5x^2+1
C. Y=-4x^2-1
D. Y=4x^2+1
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Answer:
Out of the options given prior to the question, the graph that is wider than the graph y = 3x^2 + 2 would be B) y = 0.5x^2 + 1. Hope we helped! :D
What is the approximate solution of this system of equations?
y = x2 + 3x + 3
y = x2 + x + 2
(-0.5, 0.2)
(-0.5, 1.7)
(-0.1, 1.2)
(0.2, 1.5)
Answers
Comment the correct answer.
Answer:
(B)
Step-by-step explanation:
The given system of equations are:
[tex]y=x^2+3x+3[/tex] (1)
and [tex]y=x^2+x+2[/tex] (2)
Subtracting equation (2) from (1), we get
[tex]0=2x+1[/tex]
⇒[tex]2x=-1[/tex]
⇒[tex]x={\frac{-1}{2}}[/tex]
⇒[tex]x=-0.5[/tex]
Now, substituting the value of x=-0.5 in equation (2), we get
[tex]y=0.25-0.5+2[/tex]
⇒[tex]y=1.7[/tex]
Thus, the values of x and y are -0.5 and 1.7.
Therefore, the approximate solution of the given system of the equation is (-0.5, 1.7).
Hence, option (B) is correct.
An iron bar 468 3/4 inches long is to be cut into 6 1/4 inch sections. How many sections of this length will there be?
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A dripping faucet leaks 12 gallons of water per day. How many gallons does the faucet leak in 6 days?
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Laila said 4 equals -4. Is Laila correct? Use the number line and words to support your answer
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Laila is wrong due to the fact that its not possible to have 4 = -4 on a number line...
What is the value of 6 in the number 45.026
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i need 20 characters
Estimate 7 1/4-2 5/12
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6
= 45
6
≅ 4.833333
To estimate 7 1/4 - 2 5/12, convert the mixed numbers to improper fractions, find a common denominator, subtract, and simplify. The result is approximately 4.83, which is close to 5.
Estimating 7 1/4 - 2 5/12
To estimate the difference between 7 1/4 and 2 5/12, it's helpful to convert these mixed numbers to improper fractions first. Let's break it down step by step:
Convert the mixed numbers to improper fractions:7 1/4 = (7*4 + 1)/4 = 29/42 5/12 = (2*12 + 5)/12 = 29/12Find a common denominator for the fractions, which is 12:Convert 29/4 to a fraction with a denominator of 12: (29/4) * (3/3) = 87/12Subtract the fractions:87/12 - 29/12 = (87 - 29) / 12 = 58/12Simplify the result:58/12 simplifies to 29/6 or approximately 4.83Therefore, the estimate of 7 1/4 - 2 5/12 is approximately 5.
3. Janet is flying a kite on a string that is 75m long. The kite is 62m above the ground. Estimate the distance between Janet and the spot on the ground directly beneath the kite.
(a) Draw a diagram showing Janet and the kite.
(b) What is the length of the string of the kite?
Answer:
Answers
For this, you will need to draw your own diagram, but I think you can do this if I explain it. It should look like a triangle. Where the string is a vertex, and the kite is an upper vertex. The bottom is the distance. Look at the example. You can label the distances on it if you want to.
c= length of the string (75m)
b= height of the kite (62m)
a will equal the distance between Janet and the spot on the ground beneath the kite.
Now, we plug it into the Pythagorean theorem.
a^2+b^2= c^2
a^2+ 62^2= 75^2
Square the numbers.
a^2+3844= 5625
Subtract 3844 on both sides.
a^2= 1781
Find the square root.
√1781= 42.2 or 42.
I hope this helps!
~kaikers
*Credit for picture to Google Images*
Spin a spinner numbered 1-8 two times, land on two the first time and
land on a factor of 8 the second time
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Explanation:
There is 1 section marked 8 out of 8 sections. This makes the probability of landing on an 8 1/8.
The factors of 4 on this spinner are 1, 2, 4 and 8. This makes 4 sections out of 8, which makes the probability of landing on a factor of 8 equal 4/8=1/2.
Together, the probability of both events would be 1/8(1/2) = 1/16.
Answer:
Required probability = 1/16
Step-by-step explanation:
When we spin a spinner numbered 1-8, we find that each spin is independent of the other.
HEnce probability for getting any number from 1 to 8 will be equal to 1/8 and remain the same for each spin.
So Probability on two for the first time and factor of 8 on the second time
=Prob (landing on 2)*Prob (landing on any factor of 8)
P(landing on 2) = 1/8
Factors of 8 are 1,2,4,8
Prob (landing on factor of 8) = 4/8
Hence required prob = 1/8(4/8) =1/16
Miki, a resident of Kyoto, earns an annual salary of ¥6,760,950. If the Japanese government levies a 29.12% income tax on Miki’s tax bracket, what is her yearly take-home pay, to the nearest whole yen?
Answers
Her yearly take-home pay, to the nearest whole yen is 4792161¥
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given, Miki, a resident of Kyoto, earns an annual salary of ¥6,760,950.
Since,
the Japanese government levies a 29.12% income tax on Miki’s tax bracket
Thus,
tax she pays = 6,760,950 *29.12%
tax she pays = 6,760,950 *29.12/100
tax she pays = 1,968,788.64¥
remaining income to take home = total income - tax
remaining income to take home = 6,760,950 - 1,968,788.64
remaining income to take home = 4792161.36¥
Therefore, her yearly take-home pay, to the nearest whole yen is 4792161¥
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