Answers
8.5^2 + 11^2 = c^2
72.25 + 121 = 193.25
sqrt of 193.25 = 13.9
13.9 inches
Related Questions
Find k so that 25x^2+40x+k is the square of a binomial
Answers
(5x+ )(5x+ )
The blanks must multiply to equal k and add together to equal 40 when multiplied by 5x.
(5x+4)(5x+4) = (5x+4)^2
Applying the FOIL method to the perfect square binomial shows that k=16
Final answer:
To find k to make a quadratic expression a perfect square of a binomial, we must compare coefficients and solve equations for a and b. Finally, by substituting the values of a and b, the value of k can be determined as 16.
Explanation:
To find k so that 25x^2 + 40x + k is the square of a binomial, we aim to express 25x^2 + 40x + k as the square of the binomial form (ax + b)^2. Comparing coefficients gives us:
2ab = 40 (from the linear term)
a^2 = 25 (from the quadratic term)
Solving these equations, we find a = 5 and b = 4. Therefore, the value of k is 16.
A rectangular park has an area of 64 square yards. If we multiply its length and width by 12, what will be the area of the new rectangle?
Answers
Answer:
9216 see explanation
Step-by-step explanation:
area of a rectangle =l×b
let the area and the breadth of the rectangle be x an y respectively
Now
x×y=64cm^2
as we have to multiply the length and breadth both by 12 the new area will be x×y=64×12×12 so the new area would be 9216
Answer:
[tex]\displaystyle 9126\:yd.^2[/tex]
Step-by-step explanation:
Explanation:
[tex]\displaystyle wl = A[/tex]
First, let us list the factours of 64:
[tex]\displaystyle 1, 2, 4, 8, 16, 32, 64[/tex]
Any two factours of 64 would do [two eights would wourk of cource, but the park is not square-shaped]:
[tex]\displaystyle 9126 = [2(12)][32(12)] \\ 9126 = [4(12)][16(12)][/tex]
Either way, you still get the same result. By the way, NO court will ever be one yard, so I never included it, but again, you get the overall idea.
I am joyous to assist you at any time.
English is spoken as the first or primary language in 78 countries than Farsi is spoken as the first language. Together English and Farsi are spoke as a first language in 130 countries. In how many countries is English spoken as the first language? In how many countries is Farsi spoken as the first language.
Answers
Answer:
52
Step-by-step explanation:
130 (total)-78=52
how many athletes exercised more than 40 but less than 60 minutes
Answers
The correct answer is:
4.
Explanation:
The number 40 is written in this stem-and-leaf plot as 4|0. 60 is written as 6|0. There are 4 leaves between these numbers; 5, 5, 5 and 5, with the stem of 4. This means the numbers are 45, 45, 45 and 45. There are only 4 between these two numbers.
Manuel has 13 granola bars to split among 5 people. Express the number of granola bars that each person receives as a quotient and remainder.
Answers
--------
5/ 13
-10
------
3
unscramble each of the clue words.
tow-setp
pyorerpt
dodtiina
niiosdiv
labviera
aileyquitn
bistautornc
nuatieqo
tiulinticpolma
Answers
Second property
Third addition
Fourth division
Fifth variable
And the last is multiplication
Sorry I don’t know the rest
when Raphael solved the system below by using the method of elimination, he changed the second equation to -8x-2y=-2 what property justifies this manipulation?
8x+3y=7
4x+y=1
Answers
Raphael used the Property of Equality to justify his manipulation of the second equation.
Explanation:The property that justifies Raphael's manipulation is the Property of Equality. According to this property, if two expressions are equal, then subtracting or adding the same quantity to both sides of the equation will still give you an equal equation. In this case, Raphael changed the second equation to -8x - 2y = -2 by subtracting 1 from both sides of the equation.
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[tex] - 30 = 2(x - 97)[/tex]
Answers
In order to find out the answer to this question, we can distribute
[tex]-30 = 2(x - 97) \\ \\ \\ 2(x) = 2x \\ \\ 2(97) = 197 [/tex]
Flip your problem around!
[tex]2x - 194 = -30 [/tex]
Add by [tex]194 [/tex] on each of your sides
Like: [tex]2x - 194 + 194 \\ \\ \\ -30 + 194 [/tex]
Cancel out: [tex]-194 + 194 [/tex] because they would give you the outcome of [tex]0[/tex]
Keep: [tex]-30 + 194 [/tex] because that'll give you: [tex]164 [/tex]
Your problem becomes: [tex]2x = 164 [/tex]
Now, we have to divide by [tex]2[/tex] on each of the sides
Like: [tex] \frac{2x}{2} = \frac{164}{2} [/tex]
Cancel: [tex] \frac{2x}{2} [/tex] because it will give you a outcome of [tex]1[/tex]
Keep: [tex] \frac{164}{2} [/tex] because this will give you your answer
[tex]Answer: x = 82 [/tex]
Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]
Blake made and 87 on the first semester of algebra 1 . What score can he make on the second semester if he wants his average to be more than a 90 for both semesters? Answer using complete sentences
Answers
In Mathematics, to find the average score which is more than 90 over two semesters when the first semester's score is 87, Blake needs to score more than 93 on his second semester.
Explanation:In Mathematics, specifically algebra, finding an average involves adding up all the values and then dividing by the total number of values. In this case, we're trying to find out the minimum possible score Blake needs in the second semester in order for his total average to be over 90.
Let's denote the score in the second semester as 'x'. Since the average is calculated by (first semester score + second semester score)/2, and since Blake wants his average to be more than 90, we express this as:(87+x)/2 > 90.
We now solve for x: Multiply both sides by 2 to get; 87 + x > 180. Then subtract 87 from both sides to solve for x, which yields; x > 93.
Therefore, Blake needs to score more than 93 in his second semester to have an overall average greater than 90 for both semesters.
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The students at Myer Park HS were given information about two linear functions. Function F had an X intercept of eight and a Y intercept of -6. Function G is shown in the graph below. What is the slope of the function with the greater slope.
Answers
Function G slope : 3/5
Ans : I think it's 3/4 cuz it's greater in value than 3/5.
(Sorry if I'm confusing.)
If a dozen eggs cost $1.35, what is the unit cost?
Answers
dozen eggs cost =1.35 dollars
one egg =12/1.35
=0.11 dollars
In physics the mass energy equivalence is that the mass of a body is measured by its energy content. This may be written algebraically as E=mc2, where E is energy, m is mass, and c is the speed of light in a vacuum. Transform the equation so that it will be read as a solution for mass, m. Write your answer in a sentence with all the correct labels from above!
Answers
Assume that after t hours on the job, a factory worker can produce 100te^-.5t units per hour. How many units does the worker produce during the first three hours?
Answers
[tex]N(t)=100t e^{(-0.5t)} [/tex]
To find the number of units produced during first 3 hours, we can substitute 3 for t. This will give us the number of units produced by the worker during first 3 hours.
[tex]N(3)=100(3) e^{-0.5(3)} = 67[/tex]
Thus the worker will produce 67 units during the first 3 hours of the work.
Final answer:
To find the number of units that the worker produces during the first three hours, we need to calculate the integral of the production function from 0 to 3. The production function is given as 100te^-0.5t. Using the power rule and the exponential rule of integration, we can find that the worker produces approximately -300e^-1.5 units during the first three hours on the job.
Explanation:
To find the number of units that the worker produces during the first three hours, we need to calculate the integral of the production function from 0 to 3.
The production function is given as 100te^-0.5t.
To integrate this function, we can use the power rule and the exponential rule of integration.
Now, we can plug in the values from 0 to 3 in the integral and calculate the result.
First, plug in the value t=3 in the integral: -100(3)e^-0.5(3) = -300e^-1.5.Then, plug in the value t=0 in the integral: -100(0)e^-0.5(0) = 0.Finally, subtract the result from step 2 from the result from step 1: -300e^-1.5 - 0 = -300e^-1.5.Therefore, the worker produces approximately -300e^-1.5 units during the first three hours on the job.
Ivan has 8 marbles. Each marble weighs 1/3 ounce. What is the total weight of the marbles in ounces?
Answers
= 8/3
the answer is 8/3 ounces
If each marble is 1/3 of an ounce:
8/1*1/3= 8/3
Or, we could say 8*1= 8 Tyen our that over 3.
8/3= 2 2/3 ounces
I hope this helps!
~kaikers
Name the like terms in the expression 5a + 8 – 3a + 11.
Answers
8 and 11 are like terms because they both are constants and don't have a variable.
5a and 3a are like terms because they both have the variable a in common.
you would combine these like terms
5a + 8 - 3a + 11
(5a - 3a) + (8 + 11)
2a + 19
Hope this helps :)
5a
3a
what is the answer to this problem
Answers
5 x 70 = 35 tens = 350
Answer:
350Step-by-step explanation:
The completed problem is
[tex]5 \times 70=5\times 7 \ tens.\\5 \times 70=35 \ tens=350[/tex]
Basically, the process is only about separating tens from units, so basically "tens" represents the zero, that's why we only multiply 5 and 7 digits, and add the zero at the end. It's an easier way to multiply tens.
Help me please I want to know the answer
Answers
.. add b
.. divide by d
To solve for c, you undo these in reverse order.
.. undo "divide by d" by multiplying by d
.. .. ad = b +c
.. undo "add b" by adding the opposite of b
.. .. ad -b = c
The 1st selection is appropriate.
whats the answer ?????
Answers
The gloves will cost Bob $29.38.
If c(x) = 2x^2 - 4x + 3
17. c(3a)
18. c(b^2)
Answers
17. c(3a) = 2(3a)^2 -4(3a) +3
.. = 18a^2 -12a +3
18. c(b^2) = 2b^4 -4b^2 +3
In Art class, Mr. Jocelyn gave everyone a1 foot stick to measure and cut. Vivian measured and cut her stick into 5 equal pieces. Scott measured and cut his into 7 equal pieces. Scott said to Vivian, "the total length of my stick is longer than yours because I have 7 pieces, and you only have 5" is that correct?
Answers
However, they all got a 1-foot stick. So, if you add them up you have an equal length.
Scott is incorrect thinking his stick is longer; both received identical 1 foot sticks, so total lengths remain the same despite the number of pieces they are cut into.
The student's question involves Scott believing that because he has more pieces, the total length of his stick is longer than Vivian's. Scott and Vivian both received a 1 foot stick and divided it into equal pieces; Scott into 7 pieces and Vivian into 5.
This problem is related to the concept of division where each person divides their total length equally among the number of pieces, which means the length of each individual piece changes, but the total length of the stick remains the same. Scott is not correct; the total lengths of their sticks are identical, each being 1 foot in length before cutting, regardless of the number of pieces they've been cut into.
X=
A.100
B.120
C.140
Answers
.. 10 = (30 -(150 -x))/2
.. 20 = x -120
.. 140 = x
The 3rd selection is appropriate.
Chris visited the local Pizza Shack to purchase one pizza for each member of his Scout Troop. On arrival, he realised that he had mislaid the list he had made of the pizzas that had been requested. He knew that there were 32 people altogether and that all 3 vegetarians in the Troop wanted mushrooms only. He also remembered that the same number of people wanted just the chicken topping as wanted a plain pizza. Alex, a Young Leader, was able to help by recalling that: 12 people requested toppings that included chicken, 10 requested toppings that included pepperoni, 9 requested toppings that included mushroom, 1 person wanted all 3 toppings, 2 wanted chicken and pepperoni only, 2 wanted peperoni and mushroom only. What was the final order that Chris placed at Pizza Shack?
Answers
32 people altogether
1 requested all three toppings
3 vegetarians got mushroom only
9 requested toppings with mushrooms included
12 requested toppings with chicken included
10 requested toppings that included pepperoni
2 wanted chicken and pepperoni only
2 wanted mushroom and pepperoni
x amount of people wanted chicken only
x amount of plain pizzas
all this information is depicted in the diagram attached
the amount of pepperoni only = 10 - 1 - 2 - 2
= 5
the amount of mushroom only (y)
the number of pizza with both chicken and mushroom (z)
y = 9 - 1 - 2 -z
= 6-z
amount of chicken toppings only
x = 12 - 2 - 1 - z
= 9-z
total number of pizzas
32 = 1 + 2 + 2 + 5 + y + x + z +x
= 10 + y + 2x +z
substiuting y = 6 - z
32 = 10 + 6 - z + 2x + z
32= 16 + 2x
2x = 16
x = 8
then x = 9-z
8 = 9-z
z = 1
and y = 6 - z
y = 5
therefore the final answer was supposed to be
8 plain pizzas
8 chicken only
5 pepperoni only
5 mushrooms only
1 all toppings
2 chicken and pepperoni
2 mushroom and pepperoni
1 chicken and mushroom
Hello,
Please, see the attached files.
Thanks.
Victor and his three friends (4 people all together) are planning to split a pizza. They want to spend at most $5 per person. Find the maximum (at most) cost of the pizza they can order.
Answers
Amir is operating a machine that adds sand to a concrete mixture. The machine adds 1/10 ton of sand to the mixture in 4/5 minute. Enter a number in each box to complete the statements. Write the ratio that compares 1/10 ton of sand to 4/5 minute. The ratio in ton(s) per minute(s) is $$ . Simplify the ratio to find the amount of sand added in one minute. ton(s) per minute
Answers
[tex] \frac{tonofsand}{minutes} = \frac{ \frac{1}{10} }{ \frac{4}{5} } [/tex]
Now, lets simplify our ratio. Notice that our ratio is a division of tow fractions, and remember that to dive fractions we just flip the second fraction and multiply:
[tex] \frac{ \frac{1}{10} }{ \frac{4}{5} } = \frac{1}{10} . \frac{5}{4} = \frac{5}{40} = \frac{1}{8} [/tex]
We can conclude that the ratio in ton(s) per minute(s) is [tex] \frac{1}{8} [/tex], which means [tex] \frac{1}{8} [/tex] ton of sand added in one minute ([tex] \frac{1}{8} ton/minute[/tex])
each person in Ellen's family drinks 8 1/3 ounces of water. If 5 people are in Ellen's familly., how many ounces of watet do they drink altogethet?
Answers
Gloria placed 2 apples into each of 14 boxes. Let a represent the total number of apples she had. which represents this situation?
Answers
Mark raises guppies in an aquarium. He finds out that guppies reproduce very rapidly, and the number quadruples every month. He starts out with only 2 guppies, and the function y equals 2 times 4 to the x models the number of guppies he will have after x months. Which graph represents this function?
Answers
The domain of this function is the set of all real numbers and the range are all positive reals.
The function is close to zero for negative values of X, but for positive values it grows rapidly.
Below is a graph of the aforementioned function:
y = 2 * (4 ^ x)
For x between -1.5 and 0.5 and for x between -6.5 and 5.5
In this exercise we have to recognize the graphics given in the images and in this way identify which functions are being represented, in this way we have to:
[tex]y = 2 * (4 ^ x)[/tex]
What is the exponential function?The exponential function represents a dependency relationship. In this type of mathematical operation there is a variable (unknown) in the exponent and the real number (greater than zero and different than one) in the base.
So we know that the graphs are of exponential functions and their form is given by:
[tex]y=a^x[/tex]
With this form we have that the function of the graph is:
[tex]y = 2 * (4 ^ x)[/tex]
See more about exponencial function at brainly.com/question/21822047
Which of the numbers 4, 5, or 6 is a solution of x+7>12
Answers
Help me out, my guy!
Which statement describes the solar feature shooting off into space labeled C?
A. An envelope of plasma surrounding the sun
B. A stream of glowing gas that shoots out from the sun in an arch
C. A brief eruption of intense high-energy radiation from the sun's surface
D. A dark spot appearing from time to time on the sun's surface
(There is no subject option for science so I had to use Math sorry.)
Answers
Explanation:
Occasionaly gas is shot from the surface of Sun. The reason for this is gravity-pressure instability. Most of this gas returns to the surface. Reason for this return are both magnetic field lines and gravitational pulling.
Answer A is description of a corona. It extends milions of kilometers in space and it can be seen only during solar eclipses. This is sort of Sun's atmosphere.
Answer C is description of a solar flare. It is huge explosion on the surface that sends out various types of radiation including visible light. This is similar to nuclear explosion on the Earth. On the picture this is marked with letter B.
Answer D is description of a sunspot. It occasionaly appears on the surface. The appearance follows 11 year min-max rule. It darker because it has lower temperature than the rest of surface, about 2000 degrees lower.
The sketch shows two parallel lines cut by a transversal. Which pair of angles are alternate interior angles?
Answers
Alternate Interior Angles: Angles that are in the interior of the parallel lines, and are diagonal in the transversal.
So, angles <3 and <6 are alternate interior. <4 and <5 are alternate interior.
I hope this helps!
~kaikers
Answer:
angle 5 and angle 4
Step-by-step explanation: