Answer:
c = 29
Step-by-step explanation:
Alright, So from the numbers, we know each side is 7
So overall area is 49
And each triangle is 5(5 x 2/2)
And multiply that by 4 to get 20
49 - 20 is 29
Answer: the length of c is √29
Step-by-step explanation:
The Pythagorean Theorem states that "The square on the hypotenuse is equal to the sum of the squares on the opposite sides."
The formula looks like c² = a² + b²
To apply that here, "c" is the hypotenuse of the right triangle that has "2" and "5" as the opposite sides. We can consider 2 as side a, and 5 as side b.
Square each of those numbers, then add them together.
2² means 2×2=4 and 5² is 5×5=25 4+25 = 29
Now we go into reverse to get the value of c. We have c²=29
So we take the square root of 29 c=√29
That is an "irrational" number, meaning it is not a whole number or a fraction. So we can get an approximate value by using a calculator. (Nowadays! Back in the day, there was a nice long paper and pencil procedure. . .)
√29 is about 5.385164807.... and it keeps going. Just round it off!
(Some math teachers are fine with leaving the irrational roots as √something)
Apparently, the green answer box for this question needs √29
But it helps if you can associate some nearly rational value to make sense of it.
But you know the length of c should be about 5.39. It makes sense if you were to measure the sides with a ruler.
Need Help Please ASAP
Answer:
first step; subtract 7 from both sides. you are left with -3n=8. step two; divide both sides by 3. it should get you to -n=8. therefore n=-8
Step-by-step explanation:
i hope this helped you! :)
In what ways is it useful to develop an algorithm for adding and subtracting rational numbers?
Answer:
because why not
Step-by-step explanation:
Answer:
We will cover Addition and Subtraction in one go, as they are the same method. Before we add or subtract, the rational numbers should have the same bottom number (called a Common Denominator).
Step-by-step explanation:
Some students recorded how many minutes they spent on the phone in one day. They put the results in a Stem-and-Leaf Plot.
What is the mean number of minutes spent on the phone?
Explanation:
The data from the stem-and-leaf plot is:
10,
24,25,26,
30,30,32,33,
40,45,46
Add up those values
10+24+25+26+30+30+32+33+40+45+46 = 341
Then divide over n = 11 which is the sample size.
341/11 = 31 is the arithmetic mean.
Answer:
341/11 = 31 is the arithmetic mean.
Step-by-step explanation:
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Answer:
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Step-by-step explanation:
what is the opposite reciprocal of 109123?
Answer: -1/109123
Step-by-step explanation:
defination to the opposite reciprocal
The reciprocal value which is same magnitude but opposite sign
reciprocal number is 1 divided by given number
From given data :
reciprocal value is 109123
opposite reciprocal value is -109123 and 1 is divided by given value then
the value is -1/109123
A project will take a total of 720 person-days to complete. If the project must be completed in 30 days, how many people must be employed? PLEASE HURRY
Answer:
192 hours per day / 8 hours per person per day = 24 people
Step-by-step explanation:
Assuming each person works for 8 hours a day, the total number of hours needed to complete the project is:
720 person-days x 8 hours = 5,760 hours
To complete the project in 30 days, the total number of hours needed per day is:
5,760 hours / 30 days = 192 hours per day
Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
When given a set of cards laying face down that spell F, R, A, C, T, I, O, N, determine the probability of randomly drawing a vowel.
three sevenths
five sevenths
three eighths
five eighths
Answer: 3/8
Step-by-step explanation:
there are 8 letters in fraction and 3 of those are vowels
Answer:
Step-by-step explanation:3/8
1. How many arcs did we create when we bisected a line?
2. What are the two Euclidean tools?
3. What is a line that divides a given line segment exactly into two halves forming 90 degrees angle at the intersection point?
4. What are the three parts of a compass that are discussed earlier?
5. What is the midpoint of line segment AB and line segment PQ?
6. What's the sign for intersecting lines?
7. What's the sign for parallel lines?
8. The compass and straightedge are known as?
9. What bisector divides a given angle into two angles of equal measures?
10. Why is it important to construct and bisect them step by step?
When a line is bi sected, it creates two arcs. The two Eu.c.li dean tools are the compass and straight edge. The line that divides a given line segment exactly into two halves forming a 90° angle at the intersection point is called the perpendicular bi sector.
What are the responses to other questions?The three parts of a compass are the h i n g e, the pencil or pen, and the adjustment s c r e w. The midpoint of a line segment AB is the point that is equidistant from A and B. The midpoint of a line segment PQ is the point that is equidistant from P and Q.
The sign for intersecting lines is an X at the point of intersection. The sign for parallel lines is two vertical lines that are equidistant and never intersect. The compass and straight edge are known as E.u.c.l.i dean tools. The bisector that divides a given angle into two angles of equal measures is called the angle bisector.
It is important to construct and bisect them step by step because it ensures accuracy and precision in the construction. Following a systematic approach helps to avoid errors and allows for easy replication of the construction.
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please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
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The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
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1.) Mr Rick can eat 12 dove chocolates every time Mr. Jones eats 7.
2.) Mr. Jones and Mr. Brown had a hot dog eating contest. For every 3 hotdogs Mr. Jones ate, Mr. Brown could eat 5. What is the ratio to Mr. Brown and the total hot dogs in all?
Answer:
12:7 and 5:8
Step-by-step explanation:
first one just put the 2 together and the second one you have mr. brown and then the second number add the 2
for a school event 1/6 is reserved for the 5th grade classes the reserved pats of the field is divided equally among the 4 5th grade classes what fraction of the whole athletic field is reserved for each 5h grade class?
Answer: I think it's 1 over 24 or 1/24
Pls help meeeeeeeeeeeeeeeeeeeeeee
The circumference of a circular park is approximately 18 feet. What is the approximate area inside the circular park?
Answer:
25.685 square feet.
Step-by-step explanation:
Circumference = 2 * π * radius
From this, we can derive the formula for the radius:
radius = Circumference / (2 * π)
Let's substitute the value of the circumference and calculate the approximate radius:
radius = 18 / (2 * π)
radius ≈ 18 / (2 * 3.14159)
radius ≈ 2.865 feet
Now that we have the approximate radius, we can calculate the area:
Area ≈ π * radius²
Area ≈ 3.14159 * (2.865)²
Area ≈ 3.14159 * 8.193225
Area ≈ 25.685 square feet
Therefore, the approximate area inside the circular park is approximately 25.685 square feet.
A composite figure is shown.
A five-sided figure with two parallel sides. The shorter one is 18 meters. The height of the figure is 12 meters. The portion from the vertex to the perpendicular height is 7 meters. The portion from a point to a vertical line created by two vertices is 5 meters.
Which of the following represents the total area of the figure?
288 m2
360 m2
416 m2
576 m2
Answer: 288
I took the exam! goodluck
Solve 24 =y +17.5 y=
Answer:
\( \sf \: y = 6.5\)
Step-by-step explanation:
Now we have to,
→ Find the required value of y.
The equation is,
→ 24 = y + 17.5
Then the value of y will be,
→ 24 = y + 17.5
→ y + 17.5 = 24
→ y = 24 - 17.5
→ [ y = 6.5 ]
Hence, the value of y is 6.5.
If the two spinners below are spun, what is the probability that the numbers will add to more than 7?
Answer:
0
Step-by-step explanation:
There are 12 possible outcomes, but no outcome will result in a sum greater than 7. So the probability is 0/7 = 0.
1 1
1 2
1 3
2 1
2 2
2 3
3 1
3 2
3 3
4 1
4 2
4 3
Select all the numbers that are equivalent.
A. 4.836 × 106 and 4,836,000,000
B. 5.812 × 10–7 and 0.0000005812
C. 5.46 × 1011 and 546,000,000,000
D. 4.836 × 106 and 4,836,000
E. 5.812 × 10–7 and 58,120,000
The equivalent numbers are:
5.812 × \(10^{-7}\) and 0.0000005812
5.46 × \(10^{11}\) and 546,000,000,000
4.836 × \(10^{6}\) and 4,836,000
The numbers in the options are expressed in standard form. Standard form is used in expressing large numbers in smaller numbers.
For example: The number : 1 x 10² is equivalent to 100
The number 5 x 10³ is equivalent to 5000
The number 1 x \(10^{-2}\) is equivalent to 0.01
The number 4.836 × \(10^{6}\) is the same as 4.836 × 1,000,000.When multiplied the number becomes 4,836,000The number 5.812 × \(10^{-7}\) is the same as 5.812 × 0.0000001. When multiplied the number become 0.0000005812The number 5.46 × \(10^{11}\) is the same as 5.46 x 100,000,000,000. When multiplied the number becomes 546,000,000,000The number 4.836 × \(10^{6}\) is the same as 4.836 x 1,000,000. When multiplied the number becomes 4,836,000The number 5.812 × \(10^{-7}\) is the same as 5.812 × 0.0000001. When multiplied the number becomes 0.0000005812To learn more about standard form, please check: https://brainly.com/question/587207?referrer=searchResults
What is the domain and range of:
Answer:
b
Step-by-step explanation:
how it works with life
Just put 2 expressions and thats it
Answer: 20 minuse n
Step-by-step explanation:
which one of these situations can be modeled by the inequality x < 250?
Answer:
c
Step-by-step explanation:
X<250
< is smaller than so, the no. of ppl attended the conference is smaller/fewer than 250.
The situation that can be modeled by the inequality x < 250 is: The number of people, x, who attended the conference was fewer than 250. Option (C).
Understanding InequalityInequality is a mathematical statement that compares two values or expressions, indicating the relationship between them. It states that one value is greater than, less than, greater than or equal to, less than or equal to, or not equal to the other value.
From the attached image, the inequality x < 250 represents a situation where the number of people attending the conference is less than 250.
The symbol "<" denotes "less than," indicating that the number of attendees is below the specified value of 250.
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Complete the table. In the row with x as the input, write a rule as an algebraic expression for the output. Then complete the last row of the table using the rule.
2 50
3 75
9 225
x (blank)
10 (blank)
PLZ HELP ME
Given the equation 6x + 18 = 72:
Part A: Write a short word problem about a purchase made to illustrate the equation. (6 points)
Part B: Solve the equation showing all work. (4 points)
Answer:
Part A: You are buying candy bars online. They cost $6 each and there is an $18 shipping fee. You have $72 to spend. How many candy bars can you get?
Part B: x=9
Step-by-step explanation:
6x + 18= 72
You want to get x alone:
Subtract 18 from both sides
Rewrite:
6x= 72-18
Now, subtract 72-18
Rewrite:
6x= 54
Divide 6 from both sides
So, that would be 54/6
Answer: x=9
Hope this helps!!
Answer:
Step-by-step explanation:
Answer: x=9
Please Help
I need an answer ASAP
Need answer asap please and thank you :)
Answer:
1
Step-by-step explanation:
anything divided by itself is 1
also when dividing exponets with the same base we subtract the exponet
7-7
0
and 8^0 is 1 because anything raised to the power of zero is 1
hopes this helps
Answer:
1
Step-by-step explanation:
8^7=8^7
A number divided by itself = 1
8^7=2097152
2097152/2097152=1
Which scenario can be modeled by the linear function
y = -15x + 500?
A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.
B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.
C. A carpet cleaning service charges $500 plus an additional $15 for every hour.
D. A membership fee for a movie streaming service is free, but each rental costs $15.
Before you multiply or divide a fraction by a mixed number, you have to make sure they are both in the same___________?
Answer:
Step-by-step explanation:
form. Meaning you need make both fractions improper
(-3 +1/2x) + (1 +1/6x)
help i need this today!!!!!deadline by 12:00am
Answer:
2/3 (x - 3)
Step-by-step explanation:
hope this helps =)
2/3 (x-3)
Step-by-step explanation:
hope that helps!
After reading a book about ancient Egypt, Cassie decided to build a model of a pyramid out of cardboard
How much cardboard does Cassie need to make the model, including the bottom?
Answer: 2125 cm^2
Step-by-step explanation:
We will need to find the surface area of the pyramid:
SA = (1/2)Pl(slanted height) + b
SA = (1/2)(25*4)(30) + 25^2
SA = 1500 + 25^2
SA = 2125 cm^2
Triangle NGM is reflected across the x-axis, and is dilated by a factor of
\(2 \frac{1}{2} \)
what are the coordinates of vertices N'G'M'
The coordinates of vertices N'G'M' are N'(-10, -15), M'(-15, -5) and G'(-5, -10).
From the given graph, N(-4, 6), M(-6, 2) and G(-2, 4).
Scale factor = \(2\frac{1}{2}\)
= 2.5
The reflection of point (x, y) across the x-axis is (x, -y).
Here, N(-4, 6)→(-4, -6)
M(-6, 2)→(-6, -2)
G(-2, 4)→(-2, -4)
Now, with scale factor 2.5, we get
(-4, -6)→2.5(-4, -6)→N'(-10, -15)
(-6, -2)→2.5(-6, -2)→M'(-15, -5)
(-2, -4)→2.5(-2, -4)→G'(-5, -10)
Therefore, the coordinates of vertices N'G'M' are N'(-10, -15), M'(-15, -5) and G'(-5, -10).
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