Answer:
here you go
Step-by-step explanation:
The converse of the Pythagorean Theorem tells us that by comparing the sum of the squares of two sides of a triangle to the square of its third side, we can determine whether that triangle is an acute, right, or obtuse.
To determine from the side lengths if a triangle is a right triangle. Therefore, the correct answer is option C.
What is the Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
The converse of Pythagoras theorem states that “If the square of a side is equal to the sum of the square of the other two sides, then triangle must be right angle triangle”.
By comparing the sum of the squares of two sides of a triangle to the square of its third side, we can determine whether that triangle is an acute, right, or obtuse.
Therefore, option C is the correct answer.
To learn more about the Pythagoras theorem visit:
brainly.com/question/21926466.
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i have this in my notes tho the numbers r different and im not the smart QwQ
Answer:
52 Winners
Step-by-step explanation:
What is the absolute deviation of 16 in this data set?{19, 16, 4, 9, 7}2578
The absolute deviation of 16 in the given data set, {19, 16, 4, 9, 7}, is: B. 5.
What is Absolute Deviation?The absolute deviation of a data point in a data set, is the distance of that data point from the mean of the data set.
Find the mean of the data set:
Mean = (19 + 16 + 4 + 9 + 7)/5 = 55/5
Mean = 11
16 - 11 = 5
Therefore, the absolute deviation of 16 is: B. 5.
Learn more about the absolute deviation on:
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Answer:
11
Step-by-step explanation:
I took the k12 test hope this helps! :)
A small theater had 7 rows of 26 chairs each. Workers just removed 9 of these chairs. How many chairs are left?
Answer:
173
Step-by-step explanation:
7 x 26 = 182.
182 - 9 = 173
Answer:
173 chairs are left
Step-by-step explanation:
7*26 = 182
182-9 = 173
Mark as brainliest please!
It costs $100 to join a fitness center, plus a monthly fee. You spent $700 last year at the fitness center. How much was the monthly fee? Write and solve an algebraic equation to determine the monthly fee.
Answer:
Monthly fee is $50
Step-by-step explanation:
100 + 12x = 700
12x = 600
x = 50
100 being the initial fee, 12x being the monthly fee (as there is 12 months in a year).
Charles needs a $10,000 loan in order to buy a car. Which loan option would allow him to pay the LEAST in interest? A) A 2-year loan with a 4.75% interest rate compounded annually. B) A 3-year loan with a 4.00% interest rate compounded annually. C) A 4-year loan with a 3.75% interest rate compounded annually. D) A 5-year loan with a 3.00% interest rate compounded annually.
formula used : [tex]\sf A = P(1 + \dfrac{r}{n})^{nt}[/tex]
============================
✔A) A 2-year loan with a 4.75% interest rate compounded annually.
[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{4.75\%}{1})^{(1)(2)}[/tex]
[tex]\hookrightarrow \sf A = \$10,972.56[/tex]
interest : $10,972.56 - $10,000 = $972.56B) A 3-year loan with a 4.00% interest rate compounded annually.
[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{4.00\%}{1})^{(1)(3)}[/tex]
[tex]\hookrightarrow \sf A = \$11248.64[/tex]
interest : $11,248.64 - $10,000 = $1248.64C) A 4-year loan with a 3.75% interest rate compounded annually.
[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{3.75\%}{1})^{(1)(4)}[/tex]
[tex]\hookrightarrow \sf A = \$11586.50415[/tex]
interest : $11,586.50415 - $10,000 = $1586.5D) A 5-year loan with a 3.00% interest rate compounded annually.
[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{3.00\%}{1})^{(1)(5)}[/tex]
[tex]\hookrightarrow \sf A = \$ 11592.74074[/tex]
interest : $11,592.74074 - $10,000 = $1592.74Thus loan of 2-year loan with a 4.75% interest which is compounded annually will allow him to pay the least interest of only $972.56.
The least interest is 972.56 dollars. Then he has to select a 2-year loan with a 4.75% interest rate compounded annually.
What is compound interest?Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
We know that the formula for the amount will be
[tex]A = P (1 + r) ^t[/tex]
A = Amount
P = Loan amount
r = rate of interest
t = time
The interest is given as
Interest = A - P
Charles needs a $10,000 loan in order to buy a car.
A) A 2-year loan with a 4.75% interest rate compounded annually. Then the amount will be
[tex]\rm A = 10000(1.0475)^2\\\\A = 10972.56[/tex]
Then the interest will be
Interest = 10972.56 - 10000
Interest = 972.56
The amount of interest is $972.56.
B) A 3-year loan with a 4.00% interest rate compounded annually. Then the amount will be
[tex]\rm A = 10000(1.04)^3\\\\A = 11248.64[/tex]
Then the interest will be
Interest = 11248.64 - 10000
Interest = 1248.64
The amount of interest is $1248.64.
C) A 4-year loan with a 3.75% interest rate compounded annually. Then the amount will be
[tex]\rm A = 10000(1.0375)^4\\\\A = 11586.50[/tex]
Then the interest will be
Interest = 11586.50 - 10000
Interest = 1586.50
The amount of interest is $1586.50.
D) A 5-year loan with a 3.00% interest rate compounded annually. Then the amount will be
[tex]\rm A = 10000(1.03)^5\\\\A = 11592.74[/tex]
Then the interest will be
Interest = 11592.74 - 10000
Interest = 1592.74
The amount of interest is $1592.74.
More about the compound interest link is given below.
https://brainly.com/question/25857212
Solve the inequality 5y+4 ≤ 22-y and graph the solution set on a number line. Please explain how to do it!
Answer:
y≤3
Step-by-step explanation:
5y+4≤22−y
Step 1: Simplify both sides of the inequality.
5y+4≤−y+22
Step 2: Add y to both sides.
5y+4+y≤−y+22+y
6y+4≤22
Step 3: Subtract 4 from both sides.
6y+4−4≤22−4
6y≤18
Step 4: Divide both sides by 6.
6y/6≤18/6
y≤3
Hey there!
Let's solve your inequality step-by-step.
[tex]\fbox{5y+4≤22−y}[/tex]
Step 1: Simplify both sides of the inequality.
[tex]\fbox{5y+4≤−y+22}[/tex]
Step 2: Add y to both sides.
[tex]\fbox{5y+4+y≤−y+22+y}[/tex]
[tex]\fbox{6y+4≤22}[/tex]
Step 3: Subtract 4 from both sides.
[tex]\fbox{6y+4−4≤22−4}[/tex]
[tex]\fbox{6y≤18}[/tex]
Step 4: Divide both sides by 6.
[tex]\fbox{6y/6 ≤ 18/6}[/tex]
[tex]\fbox{y≤3}[/tex]
Answer:
[tex]\fbox{y≤3}[/tex]
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Walt grew 10 centimeters in one year. He is now 1.6 meters tall. How tall was Walt one year ago in centimeters? (4 points)
150 centimeters
160 centimeters
1,500 centimeters
1,600 centimeters
Answer:
CORRECT OPTION IS 150 CENTIMETERS OR YOU CAN SAY 1.5M :)
Step-by-step explanation:
GIVEN:
Walt grew 10 cm in one year
He is now 1.6m
SOLUTION:
We know that 1 m = 100cm
So 1.6 m = 160cm
So one year ago he was:
160 - 10 = 150cm
So he was 150 cm or 1.5 m one year ago.
Another KA question pls answer lol
Answer:
-40m + 24
Step-by-step explanation:
to answer this question you should distribute the -8 to all the digits
-8m + 24 -32m
then you can add like terms
-8m and -32m become -40m
-40m + 24 is the answer
HELP PLS
Part A: Bo earned $10 walking his neighbors' dogs on Tuesday. He earned some extra money on Thursday by doing a different chore for a neighbor. Write an expression with a variable that shows the total amount of money Bo earned Tuesday and Thursday.
Part B: Bo was able to walk 2 more than twice as many dogs as his friend Silas. Write an algebraic expression to represent the number of dogs Bo walked compared with Silas
Answer:
e
Step-by-step explanation:
Part A: 10 + m = t
Extra money earned on Thursday = m
Total money earned = t
Part B: 2x + 2
we have no idea how many dogs silas walked
x = amount of dogs silas walked
uh this one wasn't that good
either way, hope this helped :)
!!please, please help me!!
Find the length of the base and the height of the parallelogram shown below.
What is the area of the parallelogram? Please explain how you got your answer.
Answer:
Length: 12
Width: 2[tex]\sqrt{10\\}[/tex]
Area: 24[tex]\sqrt{10\\}[/tex]
Step-by-step explanation:
We first find the points of C and D to find the length.
C: (-4,-5)
D: (2,-3)
The distance is 2[tex]\sqrt{10\\[/tex].
Now for the height.
A: (2,9)
D: (2,-3)
The distance is 12.
Area: 2[tex]\sqrt{10\\[/tex]×12 = 24[tex]\sqrt{10\\}[/tex]
can someone help please?
Answer:
A
Step-by-step explanation:
Because rational numbers always terminate
Roger gets $40 per day as wages and $4.50 as commission for every pair of shoes he sells in a day. His daily earnings goal is $112.
Write an equation to determine how many pairs of shoes, p, Roger must sell in a day to meet his daily earnings goal.
Find the number of pairs of shoes he must sell to meet his daily earnings goal.
Step-by-step explanation:
Equation to determine how many pairs of shoes :- S = 40 + 4.5x
Where,
S is Earnings
x is Shoe
⇒ 112 = 40 + 4.5x
⇒ 40 + 4.5x = 112
⇒ 4.5x = 112 - 40
⇒ 4.5x = 72
⇒ 4.5x/4.5 = 72/4.5
⇒ x = 16
[tex]\therefore [/tex] Roger must sell 16 shoes per day to meet his daily earning goal
This chart shows the number of eggs laid each month by my pet chicken, Drakestail:
(picture below)
What is the greatest average number of eggs per month laid by Drakestail during a period of 5 consecutive months?
("Consecutive" means "back to back". For instance, January and February are consecutive, but January and March aren't.)
ASAP PLEASE! GIVING OUT 20 POINTS
Answer:
But the average is (21 + 23 + 22 + 24 + 15)/5 =
21 eggs, Forgive me if im wrong.
Step-by-step explanation:
if one box has a surface area of 240 inches what is the surface area of 5 boxes??
#answernowuwuplease
Answer:1200
1 box=240
so if you take 240 x5 you get 1200
Step-by-step explanation:
What is 6 5/7 rounded around the nearest whole number
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
5/7 is 0.714....
7 is greater that 5 so u round up to 7
what color and how many missing the socks is (color and how many)
Answer:
18
Step-by-step explanation:
i just added how many socks were missing
help, question is below :)))
Answer:
$43 million
Step-by-step explanation:
Step 1. Turn the sentence into an equation (total = T)15.4 million = 0.36 (T)
Step 2. Solve for T15,400,000 / 0.36 = T
42,777,777.78 = T
$42.8 million ≈ $43 million (rounded)
The final answer rounded to the nearest million is $43 million. This makes sense since $15.4 was only 36% of this total. Checking our math, 36% of $43 million is $15.4 million!
Hope this helps :)
katie uses 2 cups of carrots in a casserole that serves 12 people. how many cups of carrots will she use to server 18 people?
1 cup
1 1/2 cups
3 cups
4 cups
Answer:
3 cups
Step-by-step explanation:
2/12 = 1/6
1/6 * 3 = 3/18
3 out of 18 cups, so 3 cups.
A worker uses exactly 4 screws and 7 bolts to put a metal desk together. If each metal desk requires the same ratio of screws to bolts, which statement is true?
A)The worker uses exactly 140 screws and 80 bolts to make 20 metal desks.
B)The worker uses exactly 80 screws and 140 bolts to make 20 metal desks.
C)The worker uses exactly 17 screws and 14 bolts to make 10 metal desks.
D)The worker uses exactly 14 screws and 17 bolts to make 10 metal desks.
Answer:
B
Step-by-step explanation:
screws:bolts
4:7 = 1
80:140 = 20
Solve this problem using the part-to-whole method
_____________________________________________________
Sofia went to the bakery and bought 12 cupcakes. Out of the 12 cupcakes, she has 3 chocolate flavored. What is the percentage of chocolate cupcakes?
Please help ASAP
A dart is thrown at the board 100 times at random.
About how many times is it likely to land in the shaded area?
The number of times that it is likely to land in the shaded area will be 40 times out of 100 times.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences. Then the probability is given as,
P = (Favorable event) / (Total event)
A dart is thrown at the board 100 times at random.
The number of times that dart hit the board is 40 times. Then the probability is calculated as,
P = 40 / 100
P = 2/5
P = 0.40 or 40%
More about the probability link is given below.
https://brainly.com/question/795909
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Can anyone help me with this question?
Answer:
Its blue!
Step-by-step explanation:
Because most people picked blue. The blue has .35 which is the most out of every other color! Hope this helps
Eric started at sea level. He descended 13.7 meters and then ascended 15.2 meters. Write an addition expression in the form Descent + Ascent to represent this situation. Then calculate the sum and explain what it represents.
(A) (
) +
(B) The sum of
represents Eric’s location compared to
Choose...
here is your picture for the question
Hector is using wood to build a dog house. Each wall is 4/7 of a yard tall and 3/5 of a yard wide. Know that the area of each wall is the base times the height, how many square yards of wood will he need to build 4 walls of equal size?
a
1 2/3
b
1 13/35
c
12/35
d
1 4/12
Q2
Which of the following is equivalent to 4/10 x 3/8?
a
4 ÷ (10 x 3) ÷ 8
b
(4 + 3) x (10 + 8)
c
(4 x 3) ÷ (10 x 8)
d
(4 - 3) ÷ (10 - 8)
Answer:
a
Step-by-step explanation:
b
Graph the image of △UVW after a reflection over the line y=-x
Will give brainliest if correct!
Answer:
Step-by-step explanation:
Rule: (x, y) → (-y, -x)
This means that the x, will now become y, and the y will now become x.
U (-7, -4) → (4, 7)
V (1, -4) → (4, -1)
W (-5, -9) → (9, 5)
U' (4, 7)
V' (4, -1)
W' (9, 5)
*View the attached graph*
Yellow is the original figurePurple is the figure after a reflection over the line y=-xHope this helps!
Estimate Each quotient. 1. 12.5/5 2. 17.5/8 3. 23.7/6
Answer:
1.) 3
2.) 2
3.) 4
A CD costs £12 and a T-shirt costs £15, I have £60 to spend. I buy x number of CDs and y number of T-shirts. Write;
A) An expression for the amount of money I spend.
B) An inequality showing the amount of money I spend has to be less than or the same as what I have.
-Can you plot your inequality on a pair of axis?
-Can you use the graph to find the different numbers of CDs and T-shirts I can buy?
Worth 20 points!
Answer:
A: [tex]12x+15y=60[/tex] B: [tex]12x+15y\leq 60[/tex]
Step-by-step explanation:
The fifth-grade teachers returned to school after the summer vacation and found all of the students’ desks in the hallway. The custodians agree to put all of the desks into the fifth-grade classrooms and arrange them. How could the desks in each classroom be arranged using the following student enrollment numbers?
What is the area of the figure below?
40[tex]mm^{2}[/tex]
88[tex]mm^{2}[/tex]
80[tex]mm^{2}[/tex]
96[tex]mm^{2}[/tex]
Answer:
88mm^2
Sorry for not answering it early I know this answer is probably useless for you now
Step-by-step explanation:
Ok, suppose we were to divide this figure into two parts figure 1 & 2
like this... the picture is goven above
So, we can clearly see that figure 1 is a square as it has equal dimensions
and figure 2 is a rectangle because it should given in ur question but this is the only way to find out the area
So in figure 1 the dimensions are already give that the square is 8mm and on the other hand in figure 2 it is a rectangle, here only length is given - 6mm but width is not given. To find out the width it's simple, since the base of figure 1and2 is 12mm and the base of figure 1 is 8cm we can subtract it to get there rest of the base that is the base of figure 2.
So we get,
Base of figure 2 = Total base - Base of figure 1 = 12mm - 8mm = 4mm
Now since we have the dimensions, we only have to find the area of those two figures and add both areas to get the total are of the whole figure.
Area of figure 1
Area of square = side*side = 8*8 = 64mm^2
Area of figure 2
Area of rectangle = length*breadth = 4*6 = 24mm^2
Total area of the figures
Area of figure 1 + Area of figure 2 = 64mm^2+ 24mm^2 = 88mm^2
The regular price of an item is s dollars. If the item is on sale for 25% off the regular price, which expression represents the sale price, in dollars, of the item?
Answer:
0.75s
Step-by-step explanation:
The expression would be 0.75s where 0.75 represents the cost of the item after the 25% sale, and s representing the regular cost of the item.
Hope this helps :)