What is the length of EF in the right triangle below? E 17 13 F
A. 458
B. 458
C. 4
D. 1120
E. 30
F. 120
Answers
Answer:
The answer is D. √120
Step-by-step explanation:
Using the pythangorean theorem when solving the missing side of a right triangle, so given a^2 + b^2 = c^2. We have side c, and a so we must rearanged this to fit side b.
So: a^2 + b^2 = c^2 → b^2 = c^2 - a^2 →
b = √(c^2 - a^2).
Given side c or the hypotenuse is 17, and a is 13. side b must have a length of:
√(17^2-13^2) = √(289 - 169) = √120
The value of the length of EF in the right triangle is,
⇒ EF = √120
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
We have to given that;
In triangle DEF,
DF = 13
DE = 17
Hence, By using Pythagoras theorem,
⇒ DE² = EF² + DF²
⇒ 17² = EF² + 13²
⇒ 289 = EF² + 169
⇒ EF² = 289 - 169
⇒ EF² = 120
⇒ EF = √120
Thus, the length of EF in the right triangle is,
⇒ EF = √120
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Related Questions
List two main differences between an expression and an equation
Answers
Answer
A expression is an number or a variable and a combination of numbers in variables and operation symbols. A equation is made up of two expressions or connected by an equal sign.
Step-by-step explanation:
what is x times x times y times y plz
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Answer:
im sorry if im wrong but im sure its xy
Step-by-step explanation:
Answer: x^2y^2
Step-by-step explanation:
x*x=x^2
y*y=y^2
At Cheng's Bike Rentals, it costs 31 to rent a bike for 6 hours.
How many hours of bike use does a customer get per dollar?
Answers
Answer:
0.2hrs/dollars
Step-by-step explanation:
Given parameters:
Cost of bike = $31
Time duration = 6hrs
Unknown:
Hours customers get per dollar = ?
Solution:
The number of hours customer gets per dollar is;
Number of hrs/dollar = [tex]\frac{time duration }{cost}[/tex]
Number of hrs/dollar = [tex]\frac{6hrs}{31}[/tex]
Number of hrs/dollar = 0.2hrs/dollars
Some animals on farms eat hay to get energy. A horse can eat 20 pounds of hay each day. Write and evaluate an expression to find how many pounds a group of 17 horses can eat in two weeks.
Answers
Answer:
The amount of hay these 17 horses can eat in 2 weeks is 4,760 pounds.
Step-by-step explanation:
It is provided that a horse can eat 20 pounds of hay each day.
There is a group of 17 horses.
Compute the amount of hay these 17 horses can eat in 2 weeks as follows:
[tex]\text{Total amount of hay} = 20 \times \text{Number of days} \times \text{Number of Horses}[/tex]
[tex]=20\times 14\times 17\\\\=4760[/tex]
Thus, the amount of hay these 17 horses can eat in 2 weeks is 4,760 pounds.
For which function will both ordered pairs (3,6) and (4,8) be solutions?
Answers
Y=x+3 ≈ 6=3+3 ≈ 6=6 √
Y=x+3 ≈ 8=4+3 ≈ 8=7 X
So the first function doesn't work
Y=2x ≈ 6=2(3) ≈ 6=6 √
Y=2x ≈ 8=2(4) ≈ 8=8 √
Second function works
Y=x+4 ≈ 6=3+4 ≈ 6=7 X
Third function does not work
Y=12-x ≈ 6=12-3 ≈ 6=9 X
Fourth function doesn't work
So your answer is Y=2X :)
Which factors of 18 are also factors of 36?
Answers
Answer:
21
Step-by-step explanation:
:) ur welcome its not rlly the answer btw
Which system matches the graph below?
y = -4 x and y = 2 x - 3
y = -4 x and y = 2 x + 3
y = 4 x and y = 2 x - 3
y = -4 -x and y = 2 x - 3
Answers
Answer:
(a)
Step-by-step explanation:
[tex]y= -4^{x}[/tex] and y = 2x - 3
50 POINT QUESTION ANSWER PLEASE!!!!
Answers
A=Height squared x base divided by 2
Hope this helps
Answer:
A=Height squared x base divided by 2
Step-by-step explanation:
Helpppppppppppppppppppppppp pleaseeeeeeeeeee
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Answer:
true
Step-by-step explanation:
Answer:
im just starting 6th grade sheeeeeesh
Step-by-step explanation:
if i were u i would just guess its ok to get 1 thing wrong :)
what is 1/2 of 6/7
Answers
Answer:
3/7
Step-by-step explanation:
6/14 which equals 3/7
how do I get the answer for this quadratic equation in simplest form?
[tex]4( x - 7)^2 - 48 = 12[/tex]
Answers
Answer:
x=7+√15
x=7-√15
Step-by-step explanation:
= 4 ( x^2 - 49 ) - 48 = 12
= 4x^2 - 196 - 48 = 12
= 4x^2 - 244 = 12
= 4x^2 = 12 + 244
= 4x^2 = 256
= x^2 = 256 by 4
= x^2 = 64
= x = _/64
= x = 8
.:. x = 8
1) Find f(g(x)) and
9(f(c)).
Given: f(x) = 5x; g(x) = x - 3
f(g(x))
Answers
Step-by-step explanation:
= f(g(x)) = g(f(x))
= f(x - 3) = g(5x)
= 5(x- 3) : 5x - 3
: 5x - 15
Which statement is true about this equation?
-9(x + 3) + 12 = -3(2x + 5) - 3x
ОА.
The equation has one solution, x= 1.
OB.
The equation has one solution, x = 0.
OC. The equation has no solution.
OD.
The equation has infinitely many solutions.
Answers
Answer:
D
Step-by-step explanation:
-9x-27+12 = -6x-15-3x
0=0
D) the equation has infinitely many solutions
Which proportional relationship has the greatest rate of change?
Answers
Answer:
The answer is A.
Step-by-step explanation:
A- slope is 7
B- slope is 3
C- slope is 4
D- slope is 6
The first option, [tex]y=7x[/tex] has greatest rate of change.
Any relationship which have greatest slope, that relationship will also have greatest rate of change.
First option is, [tex]y=7x[/tex] , compare with y = mx
Slope = 7
Slope of option B is, [tex]=\frac{12}{4} =3[/tex]
Slope of option C is, [tex]=\frac{8}{2}=\frac{16}{4} =4[/tex]
Slope of option C is, [tex]=\frac{2}{1}=\frac{4}{2}=2[/tex]
From slope of all options , it is observed that function y = 7x has greatest slope.
Hence, first option y = 7x has greatest rate of change.
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Find the value of x in the triangle shown below.
x = ___°
Answers
Relative maximum and minimum of f(x) = -x^4+2x^2-x-2
Answers
Step-by-step explanation:
The town of Simpsonville has two tow truck companies. Company A charges an initial fee of $30 plus $2 per mile. Company B charges an initial fee of $20 plus $4 per mile. Use the graph to determine when it's cheaper to use Company B instead of Company A. Question 11 options: A) Towing 5 miles
Answers
Answer:
What are the other options? Any option with a number of miles less than 5 is right
Step-by-step explanation:
Answer:underlined and bold is answer!!
A)
Towing 5 miles
B)
Towing more than 5 miles
C)
Towing more than 5 miles but less than 15 miles
D)
TOWING FEWER THAN 5 MILES
Step-by-step explanation:
Problem
The formula for the remaining volume of fuel in a car's tank is I-E\cdot DI−E⋅DI, minus, E, dot, D, where III is the initial volume of fuel, EEE is the fuel efficiency, and DDD is the distance traveled.
Carson drove a distance of 120120120 kilometers. He initially had 303030 liters of fuel, and his car's fuel efficiency is 100100100 cubic centimeters per kilometer.
What calculation will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters?
Answers
Answer:
18 litresStep-by-step explanation:
The formula for the remaining volume of fuel in a car's tank is expressed as;
V = I - E.D
where;
I is the initial volume of fuel,
E is the fuel efficiency, and;
D is the distance traveled.
Given
I = 30 litres
1m³ = 1000L
x = 30L
x = 30/1000
x = 0.03m³
I = 0.03m³
E = 100cm³/km
E = 100*10^-6m³/km
E = 10^-4m³/km
E = 10^-4m³/1000m
E = 10^-7m²
D = 120km
Convert km to metres
D = 120km = 120,000m
Substitute the results into the formula;
V = I - E.D
V = 0.03 - (10^-7)(120,000)
V = 0.03 - 0.012
V= 0.018 m³
Convert 0.018 m³ to litres
Since 1 m³ = 1000L
0.018 m³ = y
cross multiply;
y = 1000 * 0.018
y = 18 litres
Hence volume of fuel that remains in Carson's tank by the end of the drive is 18 litres
The measures of the angles of the triangle solve for x
Answers
Answer:
x = 8
Step-by-step explanation:
if the angle is equal to 36º that means (3x+12)º = 36º so simplify the equation and solve for x
3x+12 = 36
3x = 24
x = 8
Answer:
x = 8
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180, that is
3x + 12 + 54 + 90 = 180, simplify
3x + 156 = 180 ( subtract 156 from both sides )
3x = 24 ( divide both sides by 3 )
x = 8
What is the measure of Z PRQ?
62°
108°
P.
N
R
Answers
You start at 1,0. You move left 1 unit. Where do you end?
Answers
Answer:
(1-1,0) = (0,0)
Step-by-step explanation:
2) Five and one-half feet is
equal to how many inches?
Answers
Answer:
66
Step-by-step explanation:
Anyone willing to help? Surprise included
Answers
Answer:
An arithmetic sequence has a constant difference between each term.
For example: 2,4,6,8,10,12,…
We can see clearly that all the terms differ by +2.
We call this the common difference, d.
A geometric sequence has a constant ratio (multiplier) between each term.
An example is: 2,4,8,16,32,…
So to find the next term in the sequence we would multiply the previous term by 2.
This is called the common ratio, r.
These sequences are closely related as they both have the same first term, but I hope you can see how different they become if they have a common difference or a common ratio.
We can create a decreasing arithmetic sequence by choosing a negative common difference.
Similarly, a decreasing geometric sequence would have a common ratio of less than 1.
Step-by-step explanation:
Evaluate Functions
Given f(x) = 2x + 6 and g(x) = 5x - 1
Evaluate f(-2)
Answers
Answer:
f(-2) = -4x + 6
Step-by-step explanation:
f(x) = 2x + 6
f(-2) = -2(2x) + 6
f(-2) = -4x + 6
Answer:
f(- 2) = 2
Step-by-step explanation:
To evaluate f(- 2), substitute x = - 2 into f(x), that is
f(- 2) = 2(- 2) + 6 = - 4 + 6 = 2
h - 15 = -22
Help please
Answers
Answer:
-7
Step-by-step explanation:
H - 15 = -22
H= -22+15
H= -7
Value of H is -7
Answer:
- 7
Step-by-step explanation:
h - 15 = - 22
h = 15 - 22
h = - 7
Thus, The value of h is - 7
-TheUnknownScientist
simplify -6/3 divided by 2/-9
Answers
Answer:
9
Step-by-step explanation:
Answer:
its 4 over 9 :)
Step-by-step explanation:
6
Lisa wrote 10 letters on 10 slips of paper. She put the slips of paper in a hat to be randomly selected. The table below
shows the probability for each letter to be randomly selected,
Letter Probability
A
0.2
С
0.2
E
0.3
L
0.1
R
0.1
T
0.1
Which event is most UNLIKELY to occur?
A
A consonant at the beginning of the alphabet is chosen
B The letter A or T is chosen.
C A vowel near the beginning of the alphabet is chosen
D A consonant is chosen.
Am I right
Answers
Answer:
b
Step-by-step explanation:
Event is most UNLIKELY to occur is L, R and T. Therefore, option D is the correct answer.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes
Given that, Lis
Lisa wrote 10 letters on 10 slips of paper.
If the event is “likely” to happen, the probability will be between 1/2 and 1.
If the event is “unlikely” to happen, the probability will be between 0 and 1/2.
From the table,
Probability of getting letter L, R and T is 0.1
Therefore, option D is the correct answer.
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-3 + 4b + 6 = 9+ 4b - 6
O infinitely many solutions
O one solution
Ob=3
no solution
Answers
Answer:
Infinitely many solutions
Step-by-step explanation:
-3 +4b+6=9+4b-6
subtract 4b on both sides( canceling equal terms on both sides)
calculate the sum:
-3+6=9-6
-3+6= 3
9-6=3
3=3
Write the equation of the line, in point-slope form, that has a slope of and passes through the point (-6, 4). Fill in point-slope form. Y-___ =___(x-__)
Answers
Answer:
y - 4 = -5(x - -6)
Step-by-step explanation:
its correct
2x+7y=4 −2x−8y =−2
Answers
Answer:
-y = 2.
Step-by-step explanation:
2x + 7y= 4
- 2x – 8y = -2
Adding we eliminate x because 2x + -2x = 0:-
0 - y = 4 + -2
-y = 2.