Help me..What is the length of the missing leg? If necessary, round to the nearest tenth.
Answers
Answer:
27
Step-by-step explanation:
The triangle shown is a right triangle, indicated by the little square at the bottom right. When trying to find the length of a missing leg of a right triangle we can use the Pythagorean theorem.
Pythagorean theorem : a² + b² = c²
Where a and b = legs and c = hypotenuse ( longest side )
We are given the length of the hypotenuse as well as a leg and we need to find the other leg.
Hypotenuse (c) = 45
Leg (a) = 36
To find the length of the other leg we can plug in the given values of the hypotenuse and the leg into the Pythagorean theorem and solve for b
Recall the Pythagorean theorem : a² + b² = c²
a = 36 and c = 45
(36)² + b² = (45)²
simplify exponents : 36² = 1296 and 45² = 2025
1296 + b² = 2025
subtract 1296 from both sides: 1296 - 1296 cancels out and 2025 - 1296 = 729
b² = 729
take the square root of both sides: √(b)² = b and √729 = 27
We're left with b = 27 meaning that the length of the other leg ( or missing side ) is 27
Related Questions
Round each amount to the nearest hundred to find an estimate of:
9635 – 4891
A. 4400
B. 4500
C. 4600
D. 4700
Answers
Picture attached
If the new minimum wage of $8.75 per hour is 102.9412% of the old minimum wage, what was the old minimum wage?
Answers
Using proportions, it is found that the old minimum wage was of $8.50.
The new minimum wage is of $8.75 per hour.The old minimum wage was of x.The new minimum wage is 102.9412% of the old minimum wage, hence it can be represented as 1.029412x.The equation for the relationship between these wages is:
[tex]1.029412x = 8.75[/tex]
[tex]x = \frac{8.75}{1.029412}[/tex]
[tex]x = 8.50[/tex]
The old minimum wage was of $8.50.
To learn more about proportions, you can take a look at https://brainly.com/question/24372153
Use traditional division to solve 6432 ÷ 24.
Answers
Answer:
(not my answer but) its 268
Step-by-step explanation:
Fido ate 52 containers of ice cream in 13 different flavors, with 4 of the container containing each flavor. If the first 5 containers were chosen at random, without replacement, what are the chances that 4 of those containers are the same flavor.
Answers
Using the hypergeometric distribution, it is found that there is a 0.0002 = 0.02% probability that 4 of those containers are the same flavor.
The flavors are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. N is the size of the population. n is the size of the sample. k is the total number of desired outcomes.In this problem:
There are 52 containers, hence [tex]N = 52[/tex]For each flavor, there are 4 containers, hence [tex]k = 4[/tex]5 containers are chosen, hence [tex]n = 5[/tex]The probability of choosing all containers of one flavors is P(X = 4).
There are 13 containers, hence, the probability is multiplied by 13.[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 4) = h(4,52,5,4) = \frac{C_{4,4}C_{48,1}}{C_{52,5}} = 0.000018469[/tex]
13 x 0.000018469 = 0.0002
0.0002 = 0.02% probability that 4 of those containers are the same flavor.
A similar problem is given at https://brainly.com/question/25743676
The probability that 4 of those containers are the same flavor is 0.02% and this can be determined by using the Hypergeometric distribution.
Given :
Fido ate 52 containers of ice cream in 13 different flavors, with 4 containers containing each flavor. The first 5 containers were chosen at random, without replacement.The probability according to the Hypergeometric distribution is given by:
[tex]\rm P(X=x) = h(x,N,n,k)=\dfrac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex] --- (1)
where the total number of successes is 'x', population size is 'N', the sample size is 'n', and the total number of desired outcomes is 'k'.
Now, substitute the values of known terms in the expression (1).
[tex]\rm P(X=4) = h(4,52,5,4)=\dfrac{C_{4,4}C_{48,1}}{C_{52,5}}[/tex]
[tex]\rm P(X=4) =0.000018469[/tex]
Now, multiply the above result by 13.
[tex]13\times 0.000018469=0.0002[/tex]
So, the probability that 4 of those containers are the same flavor is 0.02%.
For more information, refer to the link given below:
https://brainly.com/question/23017717
Consider the following system of equations. Line 1: x + y = -2 Line 2: 3x - y = 2 Part A: The ordered pair (-4, 2) is a solution to O Line 1. O Line 2. o the system of equations.
Answers
Answer:
(a) Line 1
Step-by-step explanation:
The given point is only a solution to the equation for Line 1. This is shown in the attached graph.
__
You can put those values into each equation to see if it is satisfied.
1: -4 +2 = -2 . . . . this equation is satisfied.
2: 3(-4) -(2) = -14 ≠ 2 . . . . this equation is not satisfied
(-4, 2) is a solution to the Line 1 equation only.
Which of the following shows the less amount from the original value?
a. Gadget of 5000 with 5% discount price
b. Mr Smith bought a leather bag for £25 and sold it for £45.
c. A calculator marked £8.50 and Mr Smith pay 15% VAT for this item.
d. Mr Smith sold of £875 for furniture with a gain of 6%.
and explain why.
Answers
Answer:
A
Step-by-step explanation:
This is because it is discounting however in the others it's increasing VAT=Value added Tax,
gain, 45-25=£20 profit therefore it's A.
Answer:
Gadget of 5000 with 5% discount price
Step-by-step explanation:
This is the only option with a discount, not an additional extra on top.
6.2 + 0.4x = 8.05 as a decimal . do not round
Answers
[tex] \: \: \: \: [/tex]
[tex] \pink{x = 4.625} \\ \\ or \: in \: alternate \: \: form \\ \\ \pink{x = \frac{37}{8} }[/tex]
Step-by-step explanation:
[tex]6.2 + 0.4x = 8.05[/tex]
move the constant to the right[tex]0.4x = 8.05 - 6.2[/tex]
calculate[tex]0.4x = 1.85[/tex]
divide both sides[tex] \pink{x = 4.625} \\ \\ in \: \: alternate \: \: form \\ \\ \pink{x = \frac{37}{8} }[/tex]
hope it helps[tex] \huge\bf Question:—[/tex]
[tex] \sf \longmapsto \: 6.2 + 0.4x = 8.05[/tex]
[tex] \bf \huge \: Solution:—[/tex]
[tex]\boxed{ \underline{\bf \: Solving \: for \: x:—}}[/tex]
[tex] \boxed{\bf \: Simplify \: both \: sides \: of \: the \: uequation:—}[/tex]
[tex]\sf \longmapsto6.2 + 0.4x = 8.05[/tex]
[tex]\sf \longmapsto0.4x+6.2=8.05[/tex]
[tex]\boxed{ \bf \: Subtract \: 6.2 \: from \: both \: sides:—}[/tex]
[tex]\sf\longmapsto0.4x+6.2−6.2=8.05−6.2[/tex]
[tex]\sf \longmapsto0.4x=1.85[/tex]
[tex]\boxed{ \bf \: Divide \: both \: sides \: by \: 0.4:—}[/tex]
[tex]\sf \longmapsto \: \dfrac{0.4x}{0.4} = \dfrac{1.85}{0.4} [/tex]
[tex] \boxed{\bf \: Cross-multiply:—}[/tex]
[tex]\sf \longmapsto0.4x \times (0.4)=(1.85) \times (0.4)[/tex]
[tex]\sf \longmapsto \: 0.16x = 0.74[/tex]
[tex] \boxed{\bf \: Divide \: both \: sides \: by \: 0.16:—}[/tex]
[tex]\sf \longmapsto \: \dfrac{0.16x}{0.16} = \dfrac{0.74}{0.16}[/tex]
[tex]\boxed{ \bf \: Cross-multiply:—}[/tex]
[tex]\sf \longmapsto0.16x \times (0.16)=(0.74) \times (0.16)[/tex]
[tex]\sf \longmapsto0.0256x=0.1184[/tex]
[tex]\boxed{ \bf \: Divide \: both \: sides \: by \: 0.0256:—}[/tex]
[tex]\sf \longmapsto \: \dfrac{0.0256x}{0.0256} = \dfrac{0.1184}{0.0256} [/tex]
[tex]\sf \longmapsto \: x = 4.625[/tex]
[tex] \underline{{\boxed{\bf \: Answer:—}}}[/tex]
[tex] \boxed{\huge\red{\bf \: 4.625}}[/tex]
[tex]\boxed{\underline{\bf Answer\: In \: Fractional\: Form:—}}[/tex]
[tex]\boxed{\bf \dfrac{37}{8}} [/tex]
[tex]\boxed{\underline{\bf Answer\: In \:Mixed\: Fraction:—}}[/tex]
[tex]\boxed{\bf 4\dfrac{5}{8}}[/tex]
Find the median number for 10,5,7,9,18,15,17,14,16,17,15,19,5
Answers
Answer:
15
Step-by-step explanation:
The median is the "middle" number between a range of numbers. In this question, 15 is the median because is the number that is between the minimum number (5) and the maximum number (19) Hope this helps :)
please help me asap..
ty :)
Answers
Answer:
x-intercept = 3, 0
y-intercept = 0, -4
Step-by-step explanation:
A. Are the expressions 3(m - 2) + 2(m - 2) and 50m - 2) equivalent expressions?
B. In two or more complete sentences, justify your answer to A.
Answers
Answer:
Step-by-step explanation:
3(m-2)+2(m-2)
3m-6+2m-4
3m+2m-6-4
5m-6-4
5m-10
The expressions 3(m-2)+2(m-2) and 50m-2 are not equivalent expressions.
After simplifying the first expression 3(m-2)+2(m-2) in part (a), we got 5m-10, which is different from the second expression, 50m-2.
"The square root of two times a number subtract five is equal to ten."
Answers
It would be √2 x n - 5 = 10.
What is the domain and range ?
Answers
Answer: domain are the ones that go side to side or the x range is the ones that go up and down or the y
Step-by-step explanation:
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answers
Answer:
55:5 for the second one, 121:11 for the second one
Step-by-step explanation:
Answer:
55 and 121
Step-by-step explanation:
22/2=11
11=1
11*5=55
11*11=121
A sphere has a volume of V=324 in3. Find its surface area.
Answers
Answer:
A≈228.13in²
Step-by-step explanation:
Using the formulas
A=4πr2
V=4
3πr3
Solving forA
A=π⅓(6V)⅔=π⅓·(6·324)⅔≈228.12916in²
that's the answer
Answer:
A≈228.13in²
Step-by-step explanation:
.............
✌️❤️✌️
LeRoy cut a length of string into 30
pieces, all the same length. If each
piece of string was 13 inches long, how long was the string before he cut it?
Answers
Answer:
390 inches long
Step-by-step explanation:
The string = x
[tex]\frac{x}{30} = 13[/tex]
[tex]30 (\frac{x}{30} ) = 30(13)[/tex]
x = 390 inches
Help Me Please!
A repairman charges an inspection fee plus $20 per hour. A customer
with a coupon for 40% off the inspection fee pays $110 for a 4-hour repair.
How many hours are worked when a customer pays $90 without a coupon?
Answers
Answer:
$108.50 for the 30% off an 1 hour and 35 min without the coupon 155 x 0.3 = 46.5. 155-46.5=108.50
I will mark brainiest fast send answers plz!!!!
Answers
Answer:
D
Step-by-step explanation:
Marcus will walk 9 miles in 2 hours, so its 9/2 to find how many miles he will walk in 1 hour
please help me guys :) !
Answers
Answer:
{13, 9, 5, 1}
Step-by-step explanation:
Here the four inputs (x-values) are {1, 2, 3, 4}. The corresponding y-values are calculated using the formula y = 17 - 4x, and are as follows:
x y
1 17 - 4(1) = 13
2 17 - 4(2) = 9 In summary, the (vertical) 2nd column,
3 17 - 4(3) = 5 containing the y-values, is {13, 9, 5, 1}
4 17 - 4(4) = 1
Which kind of symmetry does the word TOOT have?
A. both vertical and horizontal line symmetry
B. vertical line symmetry, only
C. neither horizontal nor vertical line symmetry
D. horizontal line symmetry, only
Answers
The kind of symmetry that it forms is vertical line symmetry, only
What are vertical line symmetryLine of symmetry is the line that. divides a figure into two equal halves. The axis of the shape which divides the shape into two identical halves, vertically, is called a vertical line of symmetry.
According to the word given TOOT, this word can only form mirror images of each other along the y-axis TO | OT, hence the kind of symmetry that it forms is vertical line symmetry, only
Learn more on vertical line symmetry here: https://brainly.com/question/1527799
#SPJ5
need help with algerba 2
Answers
F(4)4 is the x value 4. Find where the line is on th y axis at x = 4
The dot is between 60 and 70 so the answer would be 64
Answer: D. 64
Answer:
the answer is d
Step-by-step explanation:
if you look on the graph where the x-value equals 4, the y-value of that point is your answer and d is the only value in that range
A lizard is 4 1/2 inches long.
How long is the lizard in centimeters?
Answers
Answer:
The lizard is 11.43 centimeters long.
What is 13/12 as a percentage?
Answers
At the fundraiser, Chad washed 7 cars every 3 hours and earned over $150 for the school dance. 3. Choose the correct answer. Which phrase in the situation translates to the slope? 3 hours for every 7 cars 3 hours and earned over $150 7 cars every 3 hours 7 cars and earned over $150
Answers
Answer:
the answer is 22
Step-by-step explanation:
Answer:ion run it
Step-by-step explanation:
BUM
Is 15:6 equivalent to 12:3
Answers
4:1 is equivalent to 12:3
2.5:1 is equivalent to 15:6
4:1 is not equivalent to 2.5:1
Hopefully this helps :)
WILL GIVE BRAINLIEST! what are the values of a and b so the system of equations has infinitely many solutions?
y=6x+b
y=ax+3/4
Answers
Answer:
a = 6
b = 3/4
Step-by-step explanation:
They both need to have the same slope.
The slope in the first equation is 6
That means that the second equation must have a = 6
They both need to have the same y intercept
The second equation has a y intercept of 3/4
Therefore b in the first equation, must be 3/4
no links pls help
The length of a rectangle is 5/2 units greater than twice its width. If its width is w, which expression gives the perimeter of the rectangle in terms of w?
A.
2(5/2w) + w
B.
5/2w + w
C.
3w + 10/2
D.
6w + 5
Answers
[tex]\text{Given that,}\\\\\text{Width =w}, \\\\\text{Length,}~ l = \dfrac 52 +2w\\\\\text{Perimeter of rectangle}\\\\ =2( l+w)\\\\=2\left(\dfrac 52 + 2w +w\right)\\\\\\=2\left(\dfrac 52 +3w\right)\\\\\\=6w+5~~ \text{units}[/tex]
Castel and Kali are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Castel sold 2 rolls of plain wrapping paper and 5 rolls of holiday wrapping paper for a total of $89. Kali sold 9 rolls of plain wrapping paper and 10 rolls of holiday wrapping paper for a total of $213. What is the cost each of one roll of plain wrapping paper and one roll of holiday wrapping paper?
please help, am not good at word problems. I will also give the brainliest answer.
Answers
Answer:
Plain is $7 and Holiday is $15
Step-by-step explanation:
Castel: 2p + 5h = 89
Kali: 9p + 10h = 213
Double Castel's: 4p + 10h = 178
Subtract fro Kali's 9p + 10h = 213
- 4p + 10h = 178
5p = 35
p = 7 Plain is $7
Substitute 7 into one of the equations and solve for h:
2(7) + 5h = 89
14 + 5h = 89
5h = 75
h = 15 Holiday is $15
Write add, divide, multiply, and subtract in the correct order to complete the following sentence.
When using the order of operations to evaluate an expression,
Always:____and____before you____and____.
Answers
Answer:
what grade are you??.......
The high temperature is 15.7°F one day. That night, the temperature falls to −18.4°F. What is the change in temperature for the day?
Answers
Answer:
34.1°f
Step-by-step explanation:
just add 18.4 degrees and then that will get you to 0 and add 15.7 which will get you to the temperature in the day
The same amount of trash is dumped into a landfill every day. The function below shows the total number of tons of trash n in the landfill after x days: n = 2000x 1000 What does the number 1,000 represent? Amount of trash originally in the landfill Amount of trash added to the landfill every day Rate at which the total trash increases every day Rate at which the new trash increases every day.
Answers
The number 1000 represents the amount of trash originally in the landfill.
Given that,
The same amount of trash is dumped into a landfill every day.
The function below shows the total number of tons of trash n in the landfill after x days:
n = 2000x + 1000
We have to determine,
What does the number 1,000 represent?
According to the equation,
The function is,
n = 2000x + 1000
The initial value of a function is defined as the started value of the function independent of any variables present in the function.
Here, n represent the amount of trash and x represents the number of days.
Therefore,
n = 2000x + 1000
In the equation 1000 is the number of days elapsed and 2000 represents the quantity of trash dumped each day.
Hence, The number 1000 represents the amount of trash originally in the landfill.
For more information about Equation refer to the link given below.
https://brainly.com/question/7383794
The correct answer would be A, the amount originally in the landfill.