Answer:
Step-by-step explanation:
Use Pythagoras’ theorem
square of hypotenuse = sum of squares of two other sides
let the missing side be d
30^2 = 20^2 + d^2
600 = 400 + d^2
d^2 = 200
d = square root of 200
d = 14.142 cm
Answer:
22.36
Step-by-step explanation:
For this question we need to utilise Pythagoras theorem. Pythagoras theorem states that a² + b² = c² so the sum of the leg's squared will equal the hypotenuse squared. In this question we are given the hypotenuse so we will have to rearrange the equation to find the value of the leg,
→ a² + b² = c²
⇒ Substitute in the values
→ 20² + b² = 30²
⇒ Simplify
→ 400 + b² = 900
⇒ Minus 400 from both sides to isolate b²
→ b² = 500
⇒ Square root both sides to find the value of the leg
→ b = 22.360679775 cm
The length of the missing leg is 22.36 cm to nearest hundredth considering one leg is 20 cm and the hypotenuse is 30 cm.
in the diagram below, p is circumscribed about quadrilateral abcd. what is the value of x
angle c= 88 degrees
angle a= x+10 degrees
Answer:
40
Step-by-step explanation:
Please Help
I need an answer ASAP
what is x in the equation
–7(x – 6) = -70
If you could help me I would really appreciate it!!
Answer:
-7(x-6)= -70
X-6=-70/-7
X-6=10
X=16
A little help here? And can anyone explain this?
Answer:
D.
Step-by-step explanation:
According to the dot plot,
3 students spend 0.5 minutes brushing their teeth.
2 students spend 1.5 minutes brushing their teeth.
1 student spends 2.5 minutes brushing their teeth.
2 students spend 3.5 minutes brushing their teeth.
1 students spend 4 minutes brushing their teeth.
So, the number set will be: {0.5, 0.5, 0.5, 1.5, 1.5, 2.5, 3.5, 3.5, 4}
Median: The middle number in a set that is ordered from least to greatest.
In this example, the median is 1.5
Mean: The sum of all values divided by the number of values.
In this set there are 9 values so we’ll divide the sum by 9
In this example, the mean would be:
(0.5 + 0.5 + 0.5 + 1.5 + 1.5 + 2.5 + 3.5 + 3.5 + 4) ÷ 9
18 ÷ 9 = 2
If we compare the mean to the median we can see that the mean is greater because 2 > 1.5
Suppose you borrow money for a year at a simple interest rate of 7.2%. You pay $86.40 in interest. How much have you borrowed?
Answer:
$1200
Step-by-step explanation:
You want to know the amount borrowed at 7.2% if the simple interest for one year is $86.40.
InterestThe interest formula is ...
I = Prt
where P is the amount borrowed, r is the interest rate, and t is the number of years.
ApplicationUsing the given values, we have ...
86.40 = P·0.072·1
P = 86.40/0.072 . . . . . . divide by the coefficient of P
P = 1200
You have borrowed $1200.
Answer: 1200
Step-by-step explanation: Linear equation. 7.2x = 100(86.40). then divide by 7.2 on each side. x=1200
Start at (5, 4). Move 5 units east, 4 units south, 4 units west, 4 units north, and 1 unit west.
What is the ordered pair of the final point?
A) (6, 4)
B) (4, 5)
C) (5, 3)
D) (5, 4)
Answer:
d) (5,4)
Step-by-step explanation:
Answer:
D. (5, 4)
Step-by-step explanation:
First, we need to know how coordinate [order] pair works.
(x, y)
That means, (5, 4) is 5 unit on the x-axis and 4 unit on the y-axis.
East means to the right on the graph (+) ;
South means going downward on the graph (-) ;
West means to the left on the graph (-) ;
North means going upward on the graph (+) .
So first, (5, 4) 5 units east meaning that we are moving the x-axis and moving right. 5 [in the order pair] + 5 [unit east] = 10
After the first step, we have (10, 4)
Moving (10, 4) 4 units south meaning that we are moving the y-axis and moving downward on the graph. 4 [in order pair] - 4 [unit south] = 0
After the second step, we have (10, 0)
Moving (10, 0) 4 units west meaning that we are moving the x-axis again and moving left this time. 10 [in order pair] - 4 [unit west] = 6
After the third step, we have (6, 0)
Moving (6, 0) 4 units north meaning that we are moving the y-axis again and moving upward on the graph. 0 [in order pair] + 4 [unit north] = 4
After the forth step, we have (6, 4)
Moving (6, 4) 1 unit west meaning that we are moving the x-axis again and moving left. 6 [in order pair] - 1 [unit west] = 5
After the final step, we have (5, 4)
Therefore, the answer to this question is D. (5, 4)
Though there is an easier version of this, which require some brain to do, but here's how-
Same above, we need to know that east and west moves sideways (east use +, west use -)
And north and south moves up and down (north use +, south use -)
And then we need to sort out how many steps moves sideways and how many steps moves up & down.
5 units east, 4 units west, and 1 unit west. And we put this in an equation for the x-axis. 5 [original] +5 [units east] -4[units west] -1[units west] = 5
Which would still get us 5 for the x-axis.
4 units south and 4 units north balanced out, which still is 4 for the y-axis.
Put the order pair together: (5, 4)
And we got the same answer: D. (5, 4)
I hope this helps!
Please mark brianliest!
Have a great day!
Do a and b please. Thanks.
Answer:
(a).
Trapezium:
(25+100)÷2×50
=62.5×50
=3125m²
Parallelogram:
100×30
=3000m²
Total:
3125+3000
=6125m²
(a) Explanation:
Area of Trapezium=
(a+b)÷2×h
Area of Parallelogram=
length×wide
(b).
6125÷100×190
=61.25×190
=£11637.5
How do you find the distance between A(0, 0) and B(2, 8)
C(-2, 3) and D(2, 8)
X(1, -5) and Y(6, 7)
someone please help me on this question
Answer:
3.5 m
Step-by-step explanation:
Use sine.
1. Set up the equation using sin = opposite / hypotenuse
sin 59 = 3/x
2. Solve
x = 3.5
b. 5 times the sum of 7 and 23
Answer:
150
Step-by-step explanation:
7 + 23 = 30
30 * 5 = 150
Feel free to make me brainlyest!
Answer:
150
Step-by-step explanation:
The sum of 7 and 23 is 30, am I right? 5 multiplied by 30 is 150. Therefore, the answer to B is 150.
he scatter plot and line of best fit below show the length of 14 people's femur (the long leg bone in the thigh) and their height in centimeters. Based on the line of best fit, what would be the predicted femur length for someone with a height of 229 cm?
100 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Mr. Harris graded papers at the end of the school day. The table below shows how many papers he graded in minutes.
Minutes Number of papers graded
4 2
16 8
20 10
24 12
At this rate, how many papers will Mr. Harris grade in 60 minutes?
30 papers
36 papers
48 papers
52 papers
Answer:
30
Step-by-step explanation:
it is simply 30
I need help arranging cards in a 4 x 4 grid with numbers 1-9 so that the sum of each row and each column is 20. This what the grid looks like:
Answer:
8, 2, 8, 2
7, 3, 7, 3
6, 4 6, 4
9, 1, 9, 1
Step-by-step explanation:
In the picture, it shows two of each number so I'm gonna base it off the picture but let me know if I should base it off the wording.
So we know that half of 20 is 10. This will be valuable information. So we need the sum of two numbers to equal 10. So for the rows we can just do 8+2+8+2, 7+3+7+3, 6+4+6+4, 9+1+9+1.
Since there are 18 numbers, I'm assuming we don't have to use all of them.
Find the surface area of a top open cylinder
12 in radius
2 in height
The surface area of the top open cylinder is 6810.149 sq.cm.
A cylinder is a three-dimensional solid that consists of two congruent surfaces (bases) and one lateral surface.
Surface area of a cylinder = Base area + Lateral area
Base area of a cylinder = 2 × π × r²
Lateral area of a cylinder = (2 × π × r) × h
Therefore, here base area of a cylinder = 2× π × 12²
= 5837.27 sq.cm.
And, lateral area of a cylinder = (2 × π × 12) × 2
= 972.8784 sq.cm.
Therefore, total surface area of a cylinder = 5837.27 + 972.8784
= 6810.149 sq.cm.
To know more about surface area:
https://brainly.com/question/951562
Please help I will mark you as a brainliest
Answer:
A,B,D
Step-by-step explanation:
A: 4-10=-6. -6=-n 6=n (negatives cancel)
B: 3*2=6 n=6
D: 48/8=6 n=6
∑ Hey, js1012201 ⊃
Answer:
(A) 4 = 10 - n
(B) 3 = n/2
(D) 8n = 48
Step-by-step explanation:
Given:
Select all the equations where n = 6 is a solution.
Choose 3 answers:
(A) 4 = 10 - n
(B) 3 = n/2
(C) 12 = n + 7
(D) 8n = 48
(E) 5 + n = 8
Solution:
Let's solve each answer choices to see where n = 6 is a solution:
-------------------------------------------------------------------------------------------------------------
(A) 4 = 10 - n
4 + n = 10 - n + n
4 + n = 10
4 + n -4 = 10 - 4
n = 6
(A) n = 6
-------------------------------------------------------------------------------------------------------------
(B) 3 = n/2
Multiply both sides by 2
2n/2 = 3 × 2
n = 6
(B) n = 6
-------------------------------------------------------------------------------------------------------------
(C) 12 = n + 7
Subtract both sides by 7
n + 7 -7 = 12 - 7
n = 5
(C) n = 5
-------------------------------------------------------------------------------------------------------------
(D) 8n = 48
Divide both sides by 8
8n/8 = 48/8
n = 6
(D) n = 6
-------------------------------------------------------------------------------------------------------------
(E) 5 + n = 8
Subtract 5 from both sides
5 - 5 + n = 8 - 5
n = 3
(E) n = 3
-------------------------------------------------------------------------------------------------------------
xcookiex12
8/19/2022
To which set or sets does the number 8 belong?
Group of answer choices
rational numbers only
integers
integers, and rational numbers only
whole numbers, integers, and rational numbers
Answer:
whole numbers only
Step-by-step explanation:
Answer:
Whole numbers, integers, and rational numbers
Step-by-step explanation:
Does anyone have the answer key to "Understand Systems of Linear Equations I-ready level H instruction?"
Answer:
no bro, sorry. even though I needed to I don't have it
A coordinate plane. A line goes through the point (–2,3) and has a slope of –4. What is the y-intercept of the line?
Answer:
slope m = –4
equation
y - 3 = -4(x + 2)
y - 3 = -4x - 8
y = -4x - 5 where slope = -4 and y intercept = b = -5
Answer
Y intercept (0, -5)
Step-by-step explanation:
Match the vocabulary word with its definition.
1. a mathematical statement that shows two expressions are equal using an equal sign
solve
2. a value of the variable that makes an algebraic sentence true
solution
3. to find the solution(s) to an equation
equation
Answer:
3=solve
1=equation
2=solution
Step-by-step explanation:
Find x and y. pls help
Answer:
y = 21
x = 8
Step-by-step explanation:
AB = 180
27 + 3y = 90°
-27 -27
-----------------------
3y = 63
÷3 ÷3
--------------
y = 21
x + 27 + 3y + 8x + 18 = 180
9x + 45 + 3(21) = 180
9x + 45 + 63 = 180
9x + 108 = 180
-108 -108
-----------------------
9x = 72
÷9 ÷9
----------------
x = 8
I hope this helps!
The amount y (in dollars) that you raise by selling x fundraiser tickets is represented by the equation y=5x.
Interpret the slope.
Each ticket costs $
According to the frequency chart below, how many people have two or more brothers and sisters?
A. 39
B. 30
C. 20
D. 10
Answer:
B. 30
10+15+3+2=30
Refer to the image below.
Answer:
Median and mode because it is the digit in the middle aka the median and because it is the number that it is the most repeated aka the mode
Step-by-step explanation:
How do I create an equation and solve for x
Answer:
Equation: (2x + 30) + 106 = 180
x = 22°
Step-by-step explanation:
We know that the missing angle from within the triangle and the expression 2x + 30 makes 180 so we can say;
180 - (33 + 41) = missing angle
180 - 74 = missing angle
106° = missing angle
Now we can set up our equation to solve for x:
(2x + 30) + missing angle = 180°
(2x + 30) + 106 = 180° => This would be our equation:
Now let's solve:
2x + 30 + 106 = 180°
2x + 136 = 180
2x = 180 - 136
2x = 44
x = 44/2
x = 22°
Hope this helps!
Answer:
x = 22
Step-by-step explanation:
To solve this the first thing you would need to do is solve the angle that is unmarked in the triangle. To do this you would use the knowledge that the interior agnles of triangles alwasy equal to 180 degrees.
In this case, you would add 33 + 41 = 74 and then you would
subtract 180 - 74 = 106
The next step would be to find the question mark 2x + 30 = ?
To do this you would have to use the 106 degrees from the previous step.
Knowing that (2x + 30) + 106 = 180 degrees this should be easy to solve.
(the angles on either side of a line that is split always add to equal 180 degrees)
You would then subtract 180 - 106 = 74
Now we know that 2x + 30 = 74
Now you would subtract 30 fom both sides to find that 2x = 44
All you have to do now is divide each side by to find that x = 22
List all the numbers you can for (?) in the fraction ?/10. Each choice must be less then ten, and the fraction formed must be in simplest form [For the ones who can't read what it says.]
Answer:
1, 2, 3, 4, 5, 6, 7, 8, and 9.
Step-by-step explanation:
The data given represents the number of gallons of coffee sold per hour at two different coffee shops.
Coffee Ground
1.5 20 3.5
12 2 4
11 7 2.5
9.5 3 5
Perks A Lot
10 3.5 3
5 2.5 7
8 5.5 9.5
6 9 4.5
Compare the data and use the correct measure of center to determine which shop typically sells the most amount of coffee per hour. Explain.
Perks A Lot, with a mean value of 6.125 gallons
Perks A Lot, with a median value of 6.125 gallons
Coffee Ground, with a mean value of 6.75 gallons
Coffee Ground, with a median value of 6.75 gallons
I do not understand this can someone help pls
Answer:
58
Step-by-step explanation:
Ok So do you see the right angle square that equals 90 so all you have to do is subtract 32 from 90 which is 58
This year, Brad is a photographer for his school newspaper. He takes 5 color photos for every 2 black-and-white photos.
Complete the table.
Color photos 5 15
30
Black-and-white photos 2
8
Color 5 - 2 Black-and-White
Color 10 - 4 Black-and-White
Color 15 - 6 Black-and-White
Color 20 - 8 Black-and-White
Color 25 - 10 Black-and-White
Color 30 - 12 Black-and-White
Answer:
Colored photo I Black photo
5 2
10 4
15 6
20 8
25 10
30 12
35 14
40 16
45 18
50 20
Q- Write the nth term, generalized statement, and the 100th term of the given number sequence. (Need answer urgent!!....... WILL MARK AS BRAINLIEST!!)
1) 1,2,3......
2) 2,4,6.....
3) 3,5,7......
4) 1,4,7,10
5) -1,-2,-3
Answer:
1) n
2) 2n
3) 2n+1
4) 3n-2
5) -n
Step-by-step explanation:
To write a generalized statement for a pattern using n, we multiply n by the common difference between each term. We add the term number before the first term to this.
1) 1, 2, 3...
For the first question, the common difference is 1 because each term increases by 1. Multiply n by 1.
1n
To find the term number before the first term, we subtract 1 from the first term.
1-1=0
Therefore, our general statement is 1n+0, or just n.
2) 2, 4, 6...
The common difference is 2 because we add 2 each time. Multiply n by 2.
2n
The term number before the first term is equal to the first term - the common difference.
2-2=0
Therefore, our general statement is 2n+0, or just 2n.
3) 3, 5, 7...
The common difference is 2 because we add 2 each time. Multiply n by 2.
2n
The term number before the first term is equal to the first term - the common difference.
3-2=1
Therefore, our general statement is 2n+1.
4) 1, 4, 7, 10...
The common difference is 3 because we add 3 each time. Multiply n by 3.
3n
The term number before the first term is equal to the first term - the common difference.
1-3=-2
Therefore, our general statement is 3n+(-2), or 3n-2.
5) -1, -2, -3...
The common difference is -1 because we subtract 1 each time. Multiply n by -1.
-1n
The term number before the first term is equal to the first term - the common difference.
-1-(-1)
= -1+1 (because two negatives make a positive)
= 0
Therefore, our general statement is -1n+0, or just -n.
I hope this helps!
A group of seventh graders and a group of teachers at a local middle school were asked how many siblings they each have. The dot plots below show the results. Students A dot plot titled Students. A number line going from 0 to 9 labeled number of siblings. There are 2 dots above 0, 4 above 1, 7 above 2, 5 above 3, 2 above 4, and 0 above 5, 6, 7, 8, and 9. Teachers A dot plot titled Teachers. A number line going from 0 to 9 labeled Number of siblings. There is 1 dot above 0, 3 dots above 1, 2 above 2, 4 above 3, 5 above 4, 3 above 5, 1 above 6, 0 above 7, 1 above 8, and 0 above 9. When comparing the shape of the two sets of data, what conclusion can someone draw? The students tend to have fewer siblings than the teachers. The teachers tend to have fewer siblings than the students. Both the students and the teachers have a wide range of siblings. Both sets of data have the same shape. the answer is- a. The students tend to have fewer siblings than the teachers.
Answer:
A. The students tend to have fewer siblings than the teachers.
Step-by-step explanation:
First we need to draw the dot plots correctly. If you count both sides they have 20 each.
Now, clearly none have fewer nobody here yet has more or less but going on to the next step.
Multiply exactly the number of siblings times how many people chose that many siblings. Ex: 2 (siblings) times 7 (people who has 2 siblings) = 14. And so on.
On the Student A, we get a total of 41 people having sibling, if you count the 0's then there were a total of 43 people. But now on the Teacher's A Dot Plot, we have a total of 68 people, if you include the 0 then we have a total of 69.
So the answer is A. The students tend to have fewer siblings than the teachers.
Answer:
The sum is A
Step-by-step explanation:
Just ma duty to help the community