Answers
Answer:
30 ft
Step-by-step explanation:
The Pythagorean theorem can be used to find the length of the unknown side. It tells you the sum of the squares of the legs is equal to the square of the hypotenuse.
12² +a² = 13²
a² = 169 -144 = 25
a = √25 = 5
The sum of the side lengths is ...
(12 +5 +13) ft = 30 ft
The perimeter is 30 feet.
Related Questions
1
The data given below show the number of overtime hours worked in one week per employee. Use the data to complete parts (a) and (b).
Overtime hours
0
2 3 4 5 6
Employees
8 10 33 53 43 25 19
(a) Construct a probability distribution
(b) Graph the probability distribution using a histogram and describe its shape.
(a) Construct the probability distribution by completing the table below.
1
2
3
4
5
6
P(x)
1
(Round to three decimal places as needed.)
Answers
Answer:
Explained below.
Step-by-step explanation:
The data provided is for the number of overtime hours worked in one week per employee.
(a)
The probability distribution is as follows:
X Frequency P(X)
0 8 0.042
1 10 0.052
2 33 0.173
3 53 0.277
4 43 0.225
5 25 0.131
6 19 0.099
191 1.000
(b)
Construct the histogram in Excel.
The histogram is approximately symmetric as maximum data is collected in the middle.
Write an expression for the perimeter of the triangle shown below:
(linked)
A: 10x − 9
B: 10x − 39
C: 5.5x − 9
D: 5.5x + 9
I don't normally ask questions so ill just give 100 points to who can answer this
Answers
Solution:
The perimeter of the triangle is basically the sum of its sides.
[tex]\rightarrow P = (0.3x + 24) + (5x) + (0.2x - 15)[/tex]
Open the parenthesis:
[tex]\rightarrow P = 0.3x + 24 + 5x + 0.2x - 15[/tex]
Combine like terms:
[tex]\rightarrow P = x(0.3 + 0.2 + 5) + (24 - 15)[/tex]
Simplify the equation:
[tex]\rightarrow P = x(5.5) + (9)[/tex]
Further simplify:
[tex]\rightarrow P = 5.5x + 9[/tex]
Option D is correct.
Perimeter=Sum of three sides
Perimeter:-
[tex]\\ \rm\Rrightarrow 0.3x+24+5x+0.2x-15[/tex]
[tex]\\ \rm\Rrightarrow 5.5x+24-15[/tex]
[tex]\\ \rm\Rrightarrow 5.5x+9[/tex]
Find cardinal number of H= Sunday, dog, house, car, month
Answers
Answer:
The cardinal number of h is house.
Help help math math math
Answers
Answer:
[tex]\displaystyle y - 5 = -2(x - 2)[/tex]
Step-by-step explanation:
Perpendicular equations have OPPOCITE MULTIPLICATIVE INVERCE RATE OF CHANGES [SLOPES], so ½ becomes −2. Now, proceed with plugging the information into the Point-Slope Formula:
[tex]\displaystyle [2, 5] \\ \\ \boxed{y - 5 = -2(x - 2)}[/tex]
**Remember, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so make sure both operation symbols are correct.
I am joyous to assist you at any time.
Answer:
hi
Step-by-step explanation:
please help me it's really urgent
Answers
Answer:
-2
Step-by-step explanation:
Using the squeeze or sandwich Theorem,
A limit of f(x) exists if
Two functions g(x) and h(x) lie above and below respectively for values near the limit.If they all approach the same limit.Since the statement establishes, that let see if they approach the same limit.
[tex]g(2) = {2}^{2} - 3(2) = - 2[/tex]
[tex]h(2) = 2 - 2(2) = - 2[/tex]
So the answer is-2
Find the equation of a line perpendicular to 3x−2y=−3 that contains the point (−5,5). Write the equation in slope-intercept form.
Answers
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[tex]y = - \frac{2}{3}x + \frac{5}{3} \\ [/tex]
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The Wares want to buy a new computer. The regular price is $1049.the store is offering 20% discount and a sales tax of 5.25% is added after the discount .what is the total cost?
Answers
Answer:
$883.26
Step-by-step explanation:
Multiply the regular price ($1,049) by the Percent Discount (20%). To do this, multiply 1,049 by 0.2 :
1,049(0.2)=$209.8
After multiplying, you get the amount taken off by the discount. So you subtract the amount you got ($209.8) from the original amount ($1049) :
$1049-$209.8=$839.2
Now that you've calculated the discount price, you can calculate the sales tax. Make sure you do this part second, because it says to do so in the problem.
To calculate the sales tax, you do the same as above. Multiply your NEW cost ($839.2) by the sales tax (5.25%). The equation is:
$839.2(5.25%)=$44.058
Round $44.058 to $44.06. Since this is a Sales Tax, you add this on to your previous amount of $839.2
$839.2+$44.06=$883.26
The final cost of the computer is $883.26
Grayson’s car used 2 gallons to travel 30 miles. How far can he travel on 3 gallons?
Answers
Answer:
45 miles
Step-by-step explanation:
first divide 30 by 2
it would equal 15
then multiply 3 by 15
you get 45
Please help due today
Answers
78.) x= {-4, 9}
79.) x= {5/3, 2}
80.) x= {1/9, 3}
81.) x= {-6, 18}
82.) x= {-3√3 +4, 3√3 +4}
83.) x= {-7, -3}
84.) x= {-√85 +9 /2, √85 -9 /2}
A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 49.0 and 54.0 minutes. Find the probability that a given class period runs between 50.75 and 51.75 minutes.
Find the probability of selecting a class that runs between and minutes.
Answers
Answer: 0.050
I just did it and I got it right.
The probability of selecting a class that runs between 51.0 and 52.5 minutes is 0.3 or 30%.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
Since the lengths of the classes are uniformly distributed between 49.0 and 54.0 minutes, the probability of a class running between any two values within this range is proportional to the length of the interval between these two values.
The total length of the possible class periods is:
54.0 minutes - 49.0 minutes
= 5.0 minutes
So, the probability of a randomly selected class running between 50.75 and 51.75 minutes can be calculated as follows:
Length of the interval
= 51.75 minutes - 50.75 minutes
= 1.0 minute
Probability = (Length of the interval) / (Total length of possible class periods)
Probability = 1.0 minute / 5.0 minutes
Probability = 0.2
Therefore, the probability of a given class period running between 50.75 and 51.75 minutes is 0.2 or 20%.
Similarly, the probability of selecting a class that runs between a and b minutes, where a and b are between 49.0 and 54.0 minutes and a < b, is given by:
Probability = (Length of the interval between a and b) / (Total length of possible class periods)
Probability = (b - a) / 5.0
For example, if we want to the probability of selecting a class that runs between 51.0 and 52.5 minutes, we would have:
Probability = (52.5 - 51.0) / 5.0
Probability = 0.3 or 30%
Thus,
The probability of selecting a class that runs between 51.0 and 52.5 minutes is 0.3 or 30%.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ2
A cheetah typically runs 15 miles in 1/5 hours. How fast does a cheetah runs in miles/hour
Answers
Answer:
75 miles/hour
Step-by-step explanation:
Cheetahs run 15 miles in 1/5 hours. To get it to be a full hour, you multiply 1/5 by 5. You will also have to multiply 15 by 5 to get the number of miles per hour, and you get 75. Cheetahs can run 75 miles in 1 hour.
Answer:
75 miles per hour
Step-by-step explanation:
ok wooo first question answered so don't trust me too much
so basically we need to find how many miles he runs in one hour and we have 1/5
so multiply 15 by 5
75
boom
I don't know if your teacher wants you to do it in a different way so here's a little explanation on how teachers normally want you to do it
you take 1=x and 1/5=15 and stack then then cross multiply
1/5 15
1 x
A Store-It-All storage facility requires users to enter a four digit code, using numbers 0-9, to get through the gate. How many possible codes are there if the digits cannot be repeated?
Answers
Answer:
5040
Step-by-step explanation:
10 x 9 x 8 x 7 = 5040
Jessica wrote the equation 440xh= 3,168, where h is the same number of hours it took a jet flying at a constant speed of 440 miles per hour to travel 3,168 miles. Solve for h.
Answers
Answer:
7.1 (I rounded this number to the tenths)
Step-by-step explanation:
440÷3,168 or use long division
What is the ratio of apples and bananas. Choose 1 answer
(A) 3:4
(B) 4:3
(C) 3:7
(D) 7:3
Answers
Find the area. Simplify your answer.
Answers
Answer:
it sideways
Step-by-step explanation:
Find the equation of the line from given point and slope.....
a) passes through (-5,4) and has slope, m=1/2
Answers
Answer:
Slope-intercept form:
[tex]y=\dfrac12x+\dfrac{13}2[/tex]
Standard form:
[tex]x-2y=-13[/tex]
Step-by-step explanation:
Point-slope form of a linear equation: [tex]y-y_1=m(x-x_1)[/tex]
(where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is the point)
Given:
[tex]m=\dfrac12[/tex][tex](x_1,y_1)=(-5,4)[/tex]Substituting these values into the point-slope formula:
[tex]\implies y-4=\dfrac12(x+5)[/tex]
[tex]\implies y-4=\dfrac12x+\dfrac52[/tex]
[tex]\implies y=\dfrac12x+\dfrac{13}2[/tex]
Slope-intercept form:
[tex]y=\dfrac12x+\dfrac{13}2[/tex]
Standard form:
[tex]x-2y=-13[/tex]
angle A and angle B are supplementary. mA = (3x + 6), mB = (4x + 20). Find the measure of each angle.
Answers
Answer:
Step-by-step explanation:
3x + 6 + 4x + 20 = 180
7x + 26 = 180
7x = 154
x = 22
mA= 3(22)+6 =66+6 = 72°
mB= 4(22)+20 = 88 + 20 = 108°
Mifflin Paper Company just upgraded to a heavier cardstock paper for its $42.00
business cards. To compensate for the increase in quality, Mifflin Paper Company is
raising its prices by 19%. What is the new price of business cards?
Answers
Answer:
49.98
Step-by-step explanation:
Find the EXACT circumference if the area is 196π square feet. Unit of measurement is feet or ft
Answers
Answer:
87.9645943005 feet
Step-by-step explanation:
The formula for the area of a circle is pi x radius to the power of 2. What number to the power of 2 is 196? 14.
So, the radius is 14.
The formula for the circumference of a circle is pi x diameter. If the radius is 14, the diameter is 28.
28 x pi = 87.9645943005
Pls help im in danger lf repeating
Answers
Under the total column we know that all those values MUST add up to 237
So X + 63 + 66 = 237
Or x = 108 (7th grade total)
Now let’s find another one that we can easily fill in.
Under neutral we know those values must add up to 45
So 17 + 8 + X =45
X = 20 (7th grade neutral)
Now with this information we can fill out 7th grade happy.
15 + 16 + 20 + X + 22 = 108
X = 35 (7th grade happy)
Now we can solve 6th grade happy
X + 35 + 25 = 79
Or x = 19 (6th grade happy)
Another easy one is unhappy total
9 + 16 + 12 = X
Or X = 37 (unhappy total)
Now let’s solve 6th grader very unhappy with new information we found
X + 9 + 17 + 19 + 12 = 63
Or x = 6 (6th grade very unhappy)
Using that we can find 8th grade very unhappy
6 + 15 + X = 31
Or x = 10 (8th grade very unhappy)
Now solve 8th grade very happy
10 + 12 + 8 + 25 + X = 66
Or x = 11 (8th grade very happy)
Now solve very happy total and that’s all
12 + 22 + 11 = X
X= 45 (very happy total)
Now to check our work do all the mood totals add up?
31 + 37 + 45 + 79 + 45 = 237 which checks out
-5m + m + 5 Will give brainliest!
Answers
Answer:
m=4/5
Step-by-step explanation:
YOUR WELCOME
Prove triangle congruence.
Answers
Answer:
Step-by-step explanation:
Donovan 2 eats 2 granola bars and drinks 1 glass of orange juice for breakfast every day. The price of a granola bar
s B dollars and the price of a glass of orange juice is J dollars.
The expression 7(2B + J) describes how much Donovan spends on breakfast in one week.
Match each amount in the situation with the expression that represents it.
Answers
Answer:
See attached image
Step-by-step explanation:
See attachment
What do you mean by decentralisation
hey pplsss
Answers
Step-by-step explanation:
its most general term, decentralization refers to the transfer of authority from a central government to a sub-national entity.
Answer:
Decentralization or decentralisation is the process by which the activities of an organization, particularly those regarding planning and decision making, are distributed or delegated away from a central, authoritative location or group.
Step-by-step explanation:
“Decentralisation means the division of a group of functions and activities into relatively autonomous units with overall authority and responsibility for their operation delegate to time of cacti unit.’
Mr. Moretti is making welcome bags to give to the 18 students in his homeroom on the
first day of school. He puts m mechanical pencils in each bag. He puts twice as many
regular pencils in each bag.
Which expression represents the total number of pencils Mr. Moretti gives to his students? Choose ALL that apply
Answers
Answer: 18 (m + 2m); 18m + 18 (2m); 54m
Step-by-step explanation:
The expression that represent the total no of pencil Mr. Moretti gives to his students is 18 (m + 2m); 18m + 18 (2m); 54m.
Given that,
Mr. Moretti is making welcome bags to give to the 18 students in his homeroom on the first day of school. He puts m mechanical pencils in each bag. He puts twice as many regular pencils in each bag.Based on the above information, the above are the expressions.
Learn more: brainly.com/question/17429689
garys garage has 12 liters of motor oil gary pours equal amounts of oil into 3 trucks how many liters of oil did gary pour in each truck?
Answers
12/3=4
You have divide 12 and 3
Theo and Anna are partners. they have one calculator between them. It takes Theo 60 minutes to do a set of word problems without a calculator and only 30 minutes by using one. It takes Anna 50 minutes to do the problems without a calculator and 40 minutes with one. To the nearest minute, what is the least amount of the time it would take them working together to complete the problems? Who should use the calculator?
Answers
Answer:
anna because it takes her less time
Step-by-step explanation:
Answer:
Anna
Step-by-step explanation:
I cant do a Step-by-step explanation
How many grams is in 1 kilogram
Answers
Answer:
1000
Step-by-step explanation:
There are 1000 grams in a kilogram, just do a metric unit conversion.
Hopefully this helps - let me know if you have any questions!
Help due today plsss :))
Answers
Answer:
D. g(x) = 3x²
Step-by-step explanation:
Clearly, g(x) = 9x² = (3x)².
The correct option is :-
D. g(x) = 3x²
PLEASE ANSWER AS SOON AS POSSIBLE
Which phrase best completes the diagram?
Answers
A: Built advanced sewer systems