Answers
5x - 9 + 2x + 10 = 78
7x+ 1 = 78
7x = 77
x = 77/7 = 11
EF = 2x + 10
EF = 2*11 + 10
EF = 22 + 10
EF = 32
Question
If DF = 78, DE = 5x-9, and EF = 2x+10, find EF.Answer
EF = 32
Related Questions
You are asked to draw a triangle with side lengths of 6 inches and 8 inches. What is the longest whole number length that your third side can be?
@iGreen,
Answers
A, B, and C:
Where A = 6 in
Where B = 8 in
C = ?
C < A + B
C < 6 + 8
C < 14
The answer must be expressed as a whole number, and 13 is the largest whole number less than 14. Therefore, the maximum length of the third side is 13 inches.
There are 514 children in all at both Peter’s and Nada’s schools. Nada’s school has 185 children. About how many children go to Peter’s school?
Answers
514 - 185 = 329 children left.
Therefore, 329 (about 330) children go to Peter's school.
Roman stands across from a flag pole.
What is the distance from Roman's feet to the base of the flag pole?
Round only your final answer to the nearest tenth.
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Answers
Because we are only given the hypotenuse, adjacent, and theta measurements.
the opposite side is always opposite theta. In this case, theta is 39 degrees. The hypotenuse is always the slant of the triangle, so it is 17 m. And adjacent is obviously the only one left, in this case, it is x.
You have to use sin, cos, or tan for this problem. You would use cos because cos = adjacent /hypotenuse (x/17)
so you would do cos(39) times 17
x = cos(39) * 17
x = .777 * 17
x = 13.21
And it says round to the nearest tenth, so it is 13.2 m.
Hope this helps.
The distance from Roman's feet to the base of the flag pole 13.2 m.
What is Trigonometry?It is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given:
Angle of elevation= 39.
Hypotenuse = 17 m
Using Trigonometry
cos 39 = adjacent side /hypotenuse
cos 39= base/17
0.777= base/17
base= 0.777*17
base= 13.21m
base= 13.2 m.(rounding off)
Hence, the distance from Roman's feet to the base of the flag pole 13.2 m.
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Use the formula A=bh , where A is the area, b is the base length, and h is the height of the parallelogram, to solve this problem. Jack makes a mosaic out of glass tiles. The mosaic covers a parallelogram-shaped piece of wood. The area of the wood piece is 456 in² and its base is 24 inches. What is the height of the wood piece?
Help I need this ASAP 99 points!!!
Answers
hope this helps
Write 58 1/2 in radical form
Answers
We are learning polynomials in algebra one. Can anyone help explain trinomials like- n^3 - 5n^2 - 50n
Answers
If you examine these terms, you can see that n is a factor of all of them.
There are a few things we like to do with polynomials (or trinomials, in this case). We like to perform arithmetic operations on them (addition, subtraction, multiplication, division). There is generally nothing tricky about this. The usual rules apply, and polynomial math is easier than multi-digit arithmetic in many ways.
We also like to factor polynomials. Binomials and trinomials are generally the easiest, so these are the ones you see most often. It can help to be familiar with the way binomials multiply.
.. (x +a)*(x +b)
.. = x*(x +b) +a*(x +b) . . . . . use the distributive property
.. = x^2 +bx +ax +ab . . . . . use the distributive property twice more
.. = x^2 +(a +b)x +ab . . . . . collect terms
Here, when we say "collect terms", we mean we want to combine the coefficients of "like" terms, that is, terms that have the same constellation of variables. Here, the only "like" terms are terms that have a constant multiplying the variable x. We add the terms bx and ax to get (a+b)x. (Again, the distributive property is involved. Know it backward and forward.)
When we factor out n from your trinomial, we have
.. = n(n^2 -5n -50) . . . . . . using the distributive property
Comparing this to the product of binomials above, we could factor this to binomial terms if we could find "a" and "b" such that ab = -50 and (a+b) = -5. Sometimes it helps simply to list factor pairs of a number to check for possiblities.
.. -50 = -50*1 = -25*2 = -10*5
The sums of these factor pairs are -49, -23, and -5. This last one matches what we are looking for as a coefficient of the linear term, so we could choose a=-10, b=5 and write your trinomial in factored form as
.. = n(n -10)(n +5)
Factoring is a little trickier if the coefficient of the squared term is not 1, but it generally follows the same pattern.
_____
In summary:
a trinomial is a 3-term polynomial
the unusal rules for multiplying and dividing arithmetic expressions apply
the process of factoring a trinomial can be helped by remembering the pattern for the product of binomials
N the construction of a new building, a landscape architect determined that he had a plot 810 feet by 35 feet, to be filled to a depth of 6 inches with loam. how many cubic yards of loam would he require?
Answers
(270 yd)*(35/3 yd)*(1/6 yd) = 525 yd³ . . . . required volume of loam
What percent of 170 is 68?
393 is 60% of what number?
Answers
0.4 * 100 = 40
68 of 170 = 40%
393 ÷ 60% = ?
60% ÷ 100 = 0.6
393 ÷ 0.6 = 655
393 is 60% of 655
What is mSU?
A. 49
B. 77
C. 98
D. 161
Answers
T = 1/2 (RU - SU)
21 = 1/2(119 - SU)
42 = 119 - SU
77 = SU
The answer is B. 77
Hope this helps =)
Answer:
77 degrees (option B)
Step-by-step explanation:
Which tasks are performed by individuals in the Science and Math pathway? Select all that apply.
research human behavior
design and test machinery
develop scientific theories
interpret designs and documents
perform calculations and make predictions
maintain lab equipment to perform experiments
Answers
develop scientific theories
perform calculations and make predictions
maintain lab equipment to perform experiments
Tasks that are performed by individuals in the Science and Math pathway are design and test machinery, develop scientific theories, perform calculations and make predictions, and maintain lab equipment to perform experiments. They involve Science and Math tasks, and while they may not all apply to a single course, they are related in the same department.
Answer:
design and test machinery develop scientific theories perform calculations and make predictions maintain lab equipment to perform experimentsStep-by-step explanation:
Although science is quite broad, it may involve all or almost all of the alternatives, I suppose you are referring to the exact sciences, as you also want to know which of these options are studied by mathematicians.
Science is a term popularly used to refer to the natural and formal sciences, which use rigorous scientific research methods and benchmarking. In science there are quantitative, mathematical or logical-formal proofs. The sciences are those that encompass a range of various areas of knowledge, some of which are mathematics, computation, statistics, physics, chemistry, engineering, aeronautics, as well as parts of biology, psychology and economics. Generally, these sciences are closely linked to calculations and numbers, which are present in almost all of these fields.
Based on this conceptualization, we can say that the tasks that are performed by individuals in the path of science and mathematics are: design and test machinery, develop scientific theories, perform calculations and make predictions and maintain lab equipment to perform experiments.
8.9 – 1.4x + (–6.5x) + 3.4
Answers
Answer:
12.3 – 7.9x
Step-by-step explanation:
the product of + and - is -
Therefore,
8.9 – 1.4x + (–6.5x) + 3.4
= 8.9 – 1.4x –6.5x + 3.4
collect like terms
= – 1.4x – 6.5x + 3.4 + 8.9
= –7.9x + 12.3
= 12.3 – 7.9x
What is the coefficient of x4y4 in the expansion of (x + y)8?
Answers
Answer:
70
Step-by-step explanation:
If you use Pascal's Triangle, you will need 9 lines, since there are 9 terms in a binomial raised to the 8th power. Those 9 terms are:
1, 8, 28, 56, 70, 56, 28, 8, 1
The first expansion through the one we need are below (I hope you know how to use Pascal's Triangle!):
[tex]1(x^8)(y^0)+8(x^7)(y^1)+28(x^6)(y^2)+56(x^5)(y^3)+70(x^4)(y^4)+...[/tex]
Answer:
70
Step-by-step explanation:
apex
If your credit reports shows different scores, what should you do?
A) Nothing, the credit bureaus will recognize the mistake and fix it for you.
B) Get in touch with credit bureaus to see if they have different or inaccurate information on your credit history.
C) Research online to see how you can get into the system and fix it yourself.
D) Visit your local bank and have them fix it for you.
Answers
Answer:
(B) is correct
Step-by-step explanation:
As the credit reports shows different scores so it will be resolved by credit bureaus and the report only shows different scores in case they have incorrect or different info about our credit history so we should contact the credit bureaus and ask them to correct the information of our credit history.
So, the right answer is (B).
Please help ASAP!! 14 points
Answers
PLEASE HELP ASAP! TONS OF POINTS
Answers
Answer:
I would say it's B!
To be honest I got confused at a point but I think B is the correct answer.
Hope this helped
25 POINTS!
Which of the following ordered pairs is a possible solution to the equation y = 3x - 2?
A: (0, 2)
B: (1, 1)
C: (-3, 1)
D: (2, 0)
Answers
A: 2 = 3(0) - 2
2 = 0 - 2
2 ≠ -2
B: 1 = 3(1) - 2
1 = 3 - 2
1 = 1
C: 1 = 3(-3) - 2
1 = -9 - 2
1 ≠ -11
D: 0 = 3(2) - 2
0 = 6 - 2
0 ≠ 4
So the answer choice B is the solution to the given equation.
Hope this helps :)
The only ordered pair that is a possible solution to the equation y = 3x - 2 is B: (1, 1).
To determine if an ordered pair is a possible solution to the equation y = 3x - 2, we need to check if the x and y values satisfy the equation when substituted into it.
Let's check each option:
A: (0, 2)
Substitute x = 0 and y = 2 into the equation:
2 = 3(0) - 2
2 = -2
This is not true, so (0, 2) is not a possible solution.
B: (1, 1)
Substitute x = 1 and y = 1 into the equation:
1 = 3(1) - 2
1 = 1
This is true, so (1, 1) is a possible solution.
C: (-3, 1)
Substitute x = -3 and y = 1 into the equation:
1 = 3(-3) - 2
1 = -11
This is not true, so (-3, 1) is not a possible solution.
D: (2, 0)
Substitute x = 2 and y = 0 into the equation:
0 = 3(2) - 2
0 = 4
This is not true, so (2, 0) is not a possible solution.
The only ordered pair that is a possible solution to the equation y = 3x - 2 is B: (1, 1).
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Please help, Picture included.
Jason jumps from a plane at an altitude of 1000m. his parachute opens after 10 seconds. The graph shows the relationship between his altitude and time. How far does he fall in the first 40 seconds?
A) 400m
B) 500m
C) 600m
D) 700m
Answers
Jason falls 800m in the first 40 seconds.
Explanation:
To find how far Jason falls in the first 40 seconds, we need to look at the graph provided. The graph shows that for the first 10 seconds, his altitude decreases from 1000m to 200m. So, in the first 10 seconds, he falls 1000m - 200m = 800m. Then, from 10 seconds to 40 seconds, his altitude stays constant at 200m, so he does not fall any further. Therefore, Jason falls a total of 800m in the first 40 seconds.
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The standard form of an exponential growth or decay equation is
f(x) = a(b)^x
What do each of the variables in this equation (a,b,x) represent?
Answers
b: represents the factor of growth or decay (e.g. 0.75 or 1.32).
x: represents the variable. This can be an amount of time (which is mostly true), or (sometimes) the other meaning of the variable is given.
The exponential function, which means as you increase in x , y increases exponentially.
It is required to represent the variable.
What is Exponential functions?Exponential functions are patterns that get continuously multiplied by some number. It's exponential growth when the base of our exponential is bigger than 1, which means those numbers get bigger. It's exponential decay when the base of our exponential is in between 1 and 0 and those numbers get smaller.
Given that:
The standard form of an exponential growth or decay equation is
f(x) = a(b)^x
This is an exponential function, which means as you increase x , y increases exponentially. The initial amount is given by the value a , which is easy to see (just let x=0 and you have y=a left). The growth factor is the value b .
If you restrict b such that 0<b<1 , the function will decay (represented below) and if b>1 , the function will grow.
Therefore, the exponential function, which means as you increase in x , y increases exponentially.
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Please help aassssaaaapppp
Answers
p/s : follow me and I will help you more about maths
A new website was reviewed by 58 people. The creator of the website surveyed 8 of the reviewers at random. He asked them to rate the website on a scale from 1 to 10. Their ratings are below.
4, 7, 9, 5, 4, 9, 9, 5
Assuming that the sample was representative of all reviewers, what was the mean rating of the website for all reviewers?
A. 6.5
B. 6.25
C. 4.5
D. 6
Answers
Divide that sum by 8 (which is the sample size) to get 52/8 = 6.5
Answer: Choice A) 6.5
A survey with a two-point scale was conducted in an organization. It concluded that 85% of the respondents were unsatisfied with the career guidance they were provided. If 2,000 people participated in the survey, people were satisfied with the career guidance.
Answers
300 individuals were satisfied with their careers
Answer:
See image
Step-by-step explanation:
Plato
Suppose a population of 40 crickets doubles in size every month. the function gives the population after x months. how many crickets will there be after 3 years?
Answers
f(x)=40(2)^x
where x is in months
he population after 3 years will be found as follows:
x=3 years=3×12=36 months
thus the population after 3 years will be:
f(36)=40(2)^36
f(36)=2.748779069×10^12
Answer:
2,880
Step-by-step explanation:
just trust me, it's that one
The number 1,054 is?
< 1,045
= 1,045
> 1,045
Or none of these is correct
Answers
Simplify algebraic fraction
Answers
[tex] \frac{4}{ \frac{1}{4}- \frac{10}{4} } = - \frac{1}{ \frac{9}{4} } [/tex]
You can reciprocalize and then multiply:
[tex]4* -\frac{4}{9} = -\frac{16}{9} [/tex]
So, your answer is C.
Using satellite technology, the distance between two planes can be measured by keeping track of the angle between them and the distance of each plane to the tracking station. Assume plane 1 is 176.27 miles away d plane 2 is 222.34 miles away and the angle formed with the tracking station is 38.59. How far apart are the planes?
Answers
c2 = a2 + b2 â’ 2ab cos(C)
distance a=176.27; distance b=222.34; angle C=38.59; distance c is the missing value.
Hence c²=176.27²+222.34² -2*176.27*222.34cos38.59°= 138.71 miles
What is the median of the following set of data?
78, 92, 98, 87, 86, 72, 92, 81, 86, 92
Answers
First, line the data up from least to greatest, then You need to find the middle two numbers of the set of data. Next, you add those two numbers up and then divide it by two.
86 + 87 = 173
173 divided by 2 = 86.5.
I hope I helped!
Answer:
86.5
Explanation:
If you list these numbers in order from least to greatest, you get 10 numbers. Since there are isn't a number in the middle, you have to find the value between 86 and 87 which gives you 86.5. Sorry for the late response and have a great day!
The diagram represents the enlargement of a rectangle by using a scale factor of 6
Answers
5*1 is the dimension of the original rectangle.
What is Scale?The scale is the proportion that is used to show how the dimensions of a model or scaled figure compare to the equivalent dimensions of the real figure or item. In contrast, a scale factor is a number that is multiplied by each component of an item to create an expanded or reduced figure.
Given With a scale factor of 6, the diagram depicts the expansion of a rectangle.
and the new rectangle is 30*6 in size.
The scaling factor is 6
thus,
the length of the original rectangle = 30/6
the length of the original rectangle = 5
the width of the original rectangle = 6/6
the width of the original rectangle = 1
therefore, the dimension of the original rectangle is 5*1.
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Complete question:
What measurements did the initial rectangle have?
A cone is inscribed in a regular square pyramid. If the pyramid has a base edge of 6" and a slant height of 9", find the volume of the cone. 12√2 18√2 27
Answers
so, a cone inscribed in a square pyramid, like the blue one there, will have the a diameter that is the length of the base of the pyramid, as you can see there, is 6, now, since the radius is half of the diameter, that means r = 3.
we know the slant height is 9, since the slant height and the height segment make a right-triangle with the base's segment, then we use the pythagorean theorem to get the height "h".
[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}\quad \begin{cases} r=radius\\ h=height\\ -----\\ r=3\\ h=6\sqrt{2} \end{cases} \implies V=\cfrac{\pi (3)^2(6\sqrt{2})}{3}[/tex]
The volume of the cone inscribed in the pyramid, calculated using the formula for the volume of a cone and the Pythagorean theorem, is 18√2π cubic inches.
Explanation:In this question, we're asked to find the volume of the cone inscribed in a regular square pyramid. The volume V of a cone can be calculated using the formula V = 1/3 * pi * r^2 * h, where r is the radius of the base and h is the height of the cone. Since the cone is inscribed in the pyramid, its height and base radius would be the same as those of the pyramid.
However, the pyramid is a square pyramid with a base edge of 6 inches and a slant height of 9 inches. The height of the pyramid (and thus the cone) can be calculated using the Pythagorean theorem as √(9^2 - (6/2)^2), which is √(81 - 9) = √72 = 6√2.
The radius of the base of the cone is half of the base edge length of the pyramid, or 3 inches. So the volume of the cone is V = 1/3 * pi * 3^2 * 6√2 = 18√2π cubic inches.
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Find x so that the slope of the roof is one third 1/3.
Answers
A soundproofing tile is made of 8 identical solid right pyramids with square bases. The length of the whole tile shown is x inches. Which expression shows the area of the base of each pyramid?
A. 1/3x^2 in.2
B. 1/4x^2 in.2
C. x2 in.2
D. 1/2x^2 in.2
Also...
A solid right pyramid has a square base with an edge length of x cm and a heigt of y cm. Which expression represents the volume of the pyramid?
A. 1/3x2y cm3
B. 1/2xy2 cm3
C. 1/3xy cm3
D. 1/2x2y cm3
This is all the info I am given HELP
Answers
Answer: Th answer is A
The area of the base of each pyramid, if divided from a square base of entire length x inches and made of 8 pyramids, should be 1/8 x[tex]^[/tex] in.2, but among given options, B. 1/4 x[tex]^[/tex] in.2 is closest. The volume of a solid right pyramid with square base edge length x cm and height y cm is correctly given by A. 1/3 x[tex]^[/tex]y cm3.
Explanation:To find the area of the base of each pyramid in a soundproofing tile made of 8 identical solid right pyramids with square bases, we will calculate the area of the entire square base of the tile and then divide by the number of pyramids. If the length of the whole tile is x inches, the area of the whole base is x[tex]^[/tex] square inches. Since there are 8 pyramids, the area of the base of each pyramid is x^2 divided by 8, which simplifies to 1/8 x[tex]^[/tex] square inches. However, this option is not listed, suggesting there may have been an error in the question or choices provided. Regardless, among the given options, the closest would be B. 1/4 x[tex]^[/tex] in.2, considering the whole square is likely split into quarters for each pyramid.
For the volume of a solid right pyramid with a square base with an edge length of x cm and a height of y cm, the formula for the volume of the pyramid is 1/3 times the area of the base times the height. The area of the base, which is a square, is x[tex]^[/tex], so the volume is 1/3 x[tex]^[/tex]y cm3. Therefore, the correct answer is A. 1/3 x[tex]^[/tex]y cm3.