Find the length of the third side. If necessary, round to the nearest tenth.
12
5
Answers
9514 1404 393
Answer:
13
Step-by-step explanation:
The hypotenuse can be found using the Pythagorean theorem. If we call that side 'c', then the theorem tells us ...
c² = 5² + 12²
c² = 25 +144 = 169
c = √169 = 13
The length of the third side is 13 units.
_____
Additional comment
The numbers (5, 12, 13) are what is called a "Pythagorean triple." That is, they are integers that can be used to form a right triangle. Others often seen in algebra problems are the (3, 4, 5), (7, 24, 25), and (8, 15, 17) triples. It can be worth your trouble to remember these. Then when you see side lengths of 5 and 12, you don't need to do any math to know the third side is 13.
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reached below 40°F during November.
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B x> 40
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Step-by-step explanation: C is the answer
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You would get D
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Step-by-step explanation:
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At a bookstore Mrs.McIntyre buys three books, one for each of her children. Each book cost the same amount. She also buys $1.50 magazine for herself. Her purchases have a total price of $13.47. The equation 3x+1.50=13.47 models this situation. Solve this equation for x. Explain what this value of x means in terms of the bookstore purchases.
Answers
Answer:
X= $3.99
Step-by-step explanation:
X is the value of each book
Answer:
x=3.99
Step-by-step explanation:
3x + 1.5= 13.47
3x + 1.5 - 1.5 = 13.47 - 1.5
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3x/3 = 11.97/3
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ACED PLEASE HELP I NEED THIS FAST.
Answers
Answer:
The Answer is B
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A high-school administrator who is concerned about the amount of sleep the students in his district are getting selects a random sample of 14 seniors in his district and asks them how many hours of sleep they get on a typical school night. He then uses school records to determine the most recent grade-point average (GPA) for each student. Here is the regression output. Assume the conditions for inference are met. 1.
Predictor Coef SE Coef T P
Constant 2.6476 0.3281 8.07 0.000
Sleep 0.10176 0.04347 **** *****
S = 0.1804
R-Sq = 31.3%
R-Sq(adj) = 25.6%
Required:
Predict the GPA for a senior in this district who gets 8 hours of sleep on a typical school night.
Answers
Answer:
3.46
Step-by-step explanation:
Given the regression output :
Predictor Coef ___SE __ Coef __ T ___ P
Constant 2.6476_0.3281_ 8.07 0.000
Sleep 0.10176 0.04347 **** *****
S = 0.1804
R-Sq = 31.3%
R-Sq(adj) = 25.6%
The regression equation which models the relationship between hours of sleep a student gets and his GPA can be obtained from the regression output :
The GPA is the dependent, y variable
Hours of sleep is the independent, x variable
y = 0.10176x + 2.6476
Hence, the GPA of a student who gets 8 hours of sleep on a typical school can be computed thus ;
Hours of sleep, x = 8
y = 0.10176(8) + 2.6476
y = 0.81408 + 2.6476
y = 3.46168
Thus, predicted GPA = 3.46
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Answers
Answer:
1) Congruent
2) Vertical angles
3) 12x - 18 = 8x + 10
4) x = 7
Step-by-step explanation:
1)
Congruent because they're vertical angles.
2)
Vertical angles
3)
12x - 18 = 8x + 10
4)
12x - 18 = 8x + 10
12x - 8x = 10 + 18
4x = 28
x = 7
The maximum speed that a sailboat can reach depends on the size of the boat. The graph below shows the maximum speed, v, that a sailboat can reach as a function of its length, l.
Complete the following sentences based on the graph of the function.
1. The longer the sailboat is, the [FASTER/SLOWER] it can go.
2. For a boat to reach the speed of 101010 kilometers per hour, it needs to be at least __ feet long.
3. The maximum speed that an 888-foot boat can reach is __ kilometers per hour.
4. A 16-foot sailboat at top speed is [1.5 times/2 times/2.5 times/3 times/3.5 times] as fast as a 4-foot sailboat at top speed.
Answers
Answer:
Review the graph to get answers:
1. The longer the sailboat is, the FASTER it can go. As it is a increasing function.
2. For a boat to reach the speed of 10 kilometers per hour, it needs to be at least 16 feet long.
3. The maximum speed that an 8-foot boat can reach is 7.1 kilometers per hour.
4. Top speed of a 16-foot boat is 10 kilometers per hour and of a 4-foot boat is 5 kilometers per hour.
The ratio is:
10/5 = 2 timesA 16-foot sailboat at top speed is 2 times as fast as a 4-foot sailboat at top speed.
Select the correct answer.
Sharl started to use the grouping method to factor the expression x2 + 5x - 84 as shown.
x2 + 5x - 84
x2 + 12x - 7x - 84
Which expression could be the next step in completely factoring the expression?
OA. x(x+12) - 7(x+12)
B. (x-12)+7(x - 12)
OC. (x + 12 - 7) - 84
OD. x + 12x + 7(x - 12)
Answers
Answer:
A.[tex]x(x+12) -7(x+12)[/tex]
Step-by-step explanation:
Factoring is the process of taking common terms out of an expression such that one can represent the expression as the result of smaller values. When given the following expression:
[tex]x^2 +5x - 84[/tex]
First, represent the linear term as the sum of two terms such that each term shares a common factor with the other terms in the expression.
[tex]x^2 +12x - 7x - 84[/tex]
Now take out the common factors,
[tex]x(x+12) -7(x+12)[/tex]
Thus, the correct option is choice (A).
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D
6.1
1.4
А A
2.2
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B
D
36
А?
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В?
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Answer: 14.2
Step-by-step explanation: Khan Academy
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Pedro is building a playground in the shape of a right triangle. The base of the triangle is 18 yards. The height of the right triangle is 2 1/3 yards. Find the area of the triangular playground.
Answers
Answer:
area of right triangle = ab/2
base = 18yards
height = 2 1/3 = 7/3yards
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Determine the value of w and x in circle M below.
H
w
106
A
Y
M
W=
Answers
Answer:
x= 32
w=74
Step-by-step explanation:
my explanation is in the picture
The value of w and x in circle M below mathematically given as
w = 74 , x = 32
What is the value of w and x in circle M below?
Generally, the equation for the sum of angle of a triangle is mathematically given as
w+x+c = 180
w+a = 106
w+x = 106
therefore,
106 +c = 180
c = 180-106
c = 74
w = 74
thus,
w+x+c = 180
74 + x + 74 = 180
x = 180 -148
x = 32
In conclusion, the value of w and x in circle M below is
w = 74 , x = 32
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Answer:
sorry but the picture if you put one on here isn't showing up maybe Repost and I could answer
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Answer: (-2,9)
Step-by-step explanation: I did this not too long ago!
Solve equation [2] for the variable y
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Solve equation [1] for the variable x
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x = -2
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Answer (-2,9)
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Answers
Answer:
Just be yourself.
Step-by-step explanation:
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Hope this helped...have a great day <3
Answer:
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Step-by-step explanation:
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A car and a truck left Washington, DC traveling in opposite directions. The car traveled 19 miles per hour faster than the truck, and at the end of 8 hours they were 1048 miles apart. What was the average speed of each vehicle?
100 POINTS
Answers
Answer:
Step-by-step explanation:xmccc
Car travel at x+19
They travel in opposite directions so the separation is (x+x+19) * no. Of the hours
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Find the mean absolute deviation of the setback of data. 9, 12, 3, 5, 8
Answers
Answer:
3.5
Step-by-step explanation:
A computer randomly puts a point inside the rectangle. What is the probability that the point lands in triangle T?
Answers
Answer:
87.5%
Step-by-step explanation:
The area of the entire rectangle is 8 by 6,
8x6=48 so the area is 48 units^2.
The area of the triangle is A=1/2bh
A=1/2(2)(6)
A=1(6)
A=6 units^2
6/48=0.125
0.125=12.5%
You need to find the percent it will not land in the triangle, so subtract 12.5 from 100.
100-12.5=87.5
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-2 4/5 divided by -7
Answers
Answer:
2/5 or 0.4
Step-by-step explanation:
convert -14/5 / (-7)
divide 14/5 / 7 ( two negatives equal a positive)
equals 2/5 or 0.4 in decimal
helppppppppppppppppp
Answers
Answer: x smaller than or equal to -4
Show your work
2) Is(-3,-7) a solution to
4x – 8y < 24
Show your work
Answers
Answer: false, 44 is not less than 24
Step-by-step explanation:
Substitute-3 for x and -7 for y.
4(-3)-8(-7)<24
-12+56<24
44<24
This solid was created by joining two right rectangular prisms.
7 cm
9 cm
5 cm
4
4 / 3cm
12 cm
Enter the volume of the solid in cubic centimeters.
Answers
Answer: 648
Step-by-step explanation:
A warren of rabbits has a population of 350. The population is increasing at a rate of 3% per year. How can you write an exponential growth function to find the monthly growth rate? (I have other question pls help if you can)
Answers
The exponential growth function to find the monthly growth rate is:
[tex]P(t) = 350~ (1 + 0.02493)^t[/tex]
We have,
To write an exponential growth function to find the monthly growth rate, use the following formula:
[tex]P(t) = P_0 (1 + r)^t[/tex]
Where:
P(t) is the population at time t
P₀ is the initial population (350 in this case)
r is the growth rate per time period (monthly rate in this case)
t is the time in the corresponding time period
To find the monthly growth rate.
[tex]= (1 + r)^{1/12} - 1[/tex]
= [tex](1 + 0.03)^{1/12} - 1[/tex]
= 0.02493
= 2.493 %
Therefore,
The exponential growth function to find the monthly growth rate is:
[tex]P(t) = 350~ (1 + 0.02493)^t[/tex]
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Find the area of the following figure: 12yd 8yd 4yd
Answers
12 * 4 + (22/7 * 4^2)/2
48 + 25.14
73.14 yard square
Can someone please give me this answer
Answers
Answer:
42°
Step-by-step explanation:
According to Exterior Angle Theorem,
an exterior angle of a ∆ is equal to the sum of the opposite interior angles.
So,
h+96°=138°
h=138°-96°
h=42°