Answers
Answer:
[tex]x=\sqrt{12}[/tex]
Step-by-step explanation:
The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] in a right triangle where c is the longest side. To solve for x, we plug in the side lengths given as a and c.
[tex]a^2+b^2=c^2\\2^2+x^2=4^2[/tex]
Move 2² to the other side to isolate b²
[tex]x^2=4^2-2^2[/tex]
Square root both sides to isolate b
[tex]x=\sqrt{4^2-2^2}\\x=\sqrt{16-4} \\x=\sqrt{12}[/tex]
I hope this helps!
Related Questions
Linda needs to have her car towed. Little Town Auto charges a flat fee of $75 plus $2 per miletowed. Write a function expressing Linda's towing cost, C, in terms of miles towed, x. Find thecost of having a car towed 14 miles.
Answers
The cost of having a car towed 14 miles is $103.
To express Linda's towing cost, C, in terms of miles towed, x, we can use the given information that Little Town Auto charges a flat fee of $75 plus $2 per mile towed.
The function for the towing cost, C, can be written as:
C(x) = 75 + 2x
Where x represents the number of miles towed.
To find the cost of having a car towed 14 miles, we substitute x = 14 into the function:
C(14) = 75 + 2(14)
C(14) = 75 + 28
C(14) = 103
Therefore, the cost of having a car towed 14 miles is $103.
To know more about cost click here :
https://brainly.com/question/31665993
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Find the product.
-0.3(4.1) =
Answers
Answer:
-1.23
Step-by-step explanation:
-0.3 x 4.1 = -1.23.
A negative number times a positive number equals a negative number.
250 adults were randomly selected in a grocery store they were asked how they feel about the stores coupon policy 180 were satisfied with the current policy based on the results of the sample 940 adult shop in the Store that day about how many would be expected to be happy with the current coupon policy
Answers
Answer:
870
Step-by-step explanation:
250-180=70
940-70=870
Answer:
The answer to this question is 677
what is the correct order of steps bisecting angle abc?
Answers
Answer:wait abcs?
Step-by-step explanation:
54 is the quotient of 11 and a number
Answers
Answer:
594
Step-by-step explanation:
54 * 11 = 594
54 Is the quotient of 11 and 594 because 594 divided by 11 is 54.
(sorry if this is incorrect, i may had misinterpreted the question)
Answer:
11/54Step-by-step explanation:
54 is the quotient of 11 and a number
Let the number be x
11/x = 54x = 11/54The number is 11/54
Express in the form 1: n.
Give n as a decimal.
8 : 6
please help
Answers
Answer:
n = 0.75
1 : 0.75
Step-by-step explanation:
To get from 8 to 1, you have to divide by 8. You do that to the number 6.
6/8 = 3/4 = 75/100.
Therefore, n = 0.75.
Reese claims that if 60% of the registered voters cast 273,600 votes, there would be fewer registered voters than above. Is he correct? Why or why not?
Answers
Answer:
Number of registered voters is less then the votes counted.
Step-by-step explanation:
From the question it is given that
total numbers of votes counted = v = 273600
percent of voters cast = 60% = 0.60
Let r be the total number of registered voters then
number of counted votes = percent of votes count x total numbers of registered voters
⇒p = 0.60 x r
273600 = 0.60 x r
⇒ r = 456000
thus, total numbers of registered voters is 456000
since, total numbers of voters > the numbers of registered voters
Therefore, the Number of registered voters is less then the appear on voting day.
HELPPPPPPPPPPPPPPPPPPPPPPPP
Which of the following expressions is a common factor when the expressions x2 – 9 and x2 – 5x + 6 are factored?
A.
x + 3
B.
x2
C.
x – 3
D.
x – 2
Answers
I WILL GIVE YOU BRAINLY PLSS
What is the solution of x + 6 11
C. x –1
PLSS SHOW YOUR WORK PLSS
Answers
6x11=66
-1+66= 65
65 is the answer
HELP PLEASEE PLEASEE HELP ): ?
Answers
Answer:
They pass through origin
Step-by-step explanation:
Hope maka help
help for math ratios
Answers
Answer:
72:56
Explanation:
is the answer because 9 can be divided by 18 and 36. 7 can also be divided by 14 and 21. So, that leaves you with the answer 72:56
Mark wants to continue using whole liters of paint and thinks he can create a mixture of green paint the is 38 liters. Evaluate Mark's thinking using mathematical reasoning.
The ratio from blue to yellow paint is 2:3
I need helpppppp ASAP
Answers
Answer: It's not possible to create 38 liters of green paint with whole liters of blue and yellow paint.
======================================================
Explanation:
The ratio of blue to yellow is 2:3. We have 2 parts blue and 3 parts yellow.
Multiply both parts by x to get 2x:3x
We have 2x parts of blue paint, and 3x parts of yellow paint.
x is some positive whole number.
In total, we have 2x+3x = 5x liters of paint. Set this equal to 38 and solve for x to get
5x = 38
x = 38/5
x = 7.6
We don't get a whole number, which contradicts how we set up x earlier. This must mean that Mark must use a fractional liters, instead of whole liters.
-------------------------
Here's another way to look at it:
Lets say he uses 2 liters of blue and 3 liters of yellow. This mixes to 2+3 = 5 liters of green.
Now let's say he uses 4 liters of blue and 6 of yellow. I multiplied both parts by 2. This mixes to 4+6 = 10 liters of green.
We continue this process to get the following
6 liters of blue + 9 liters of yellow = 15 liters of green8 liters of blue + 12 liters of yellow = 20 liters of green10 liters of blue + 15 liters of yellow = 25 liters of green12 liters of blue + 18 liters of yellow = 30 liters of green14 liters of blue + 21 liters of yellow = 35 liters of green16 liters of blue + 24 liters of yellow = 40 liters of greenAs you can see, we don't land on 38 liters of green. We can get to 35 liters or 40 liters, but not 38. Each of the amounts of green are a multiple of 5.
This is confirmation that Mark will have to use some fractional amount of liters of blue and yellow paint.
write the equation in logarithmic form
4^6=4096
Answers
Answer:
log 4 ( 4096 ) = 6
Step-by-step explanation:
Convert the exponential equation to a logarithmic equation using the logarithm base ( 4 ) of the right side ( 4096 ) equals the exponent ( 6 )
U r g e n t ! ! ! 5 0 p o i n t s ! ! !
Answers
Choice D is not the correct answer. Point L is equally distant from J and K. In other words, JL = LK. If two friends lived at points J and K, then point L would be a good meeting spot as they would travel the same distance. Point N has the same properties as point L does (with regard to being equally distant from J and K). It is not correct to say that LJ = JN.
The answer is actually choice C. Segments JL and KL need to be constructed using a straightedge.
Otherwise, these segments are not going to be shown and you cannot use them. A segment is simply a straight line between two endpoints. Two triangles form (triangle JNL and KNL) to help with the proof, so it's very beneficial to draw in these segments. It might help to use a different color pen, or lightly draw the segment using a faint pencil mark to erase later.
The sum of the digits of a given two digits the new numbers is 5 .if the digits are reversed, the new number is reduced by 27 . find the given number
Answers
Answer:. The numbers are 41 and 14
Step-by-step explanation: X and Y represent the digits. In the Tens place, the digit has 10× its base value. Therefore we can set up equations to model the information given:
10x+y = 10y + x +27
X + Y = 5
y =5-x rewritten to substitute for y
10x + 5-x = 10(5-x)+x +27
Distribute and then combine like terms:
9x +5 = 50 - 9x +27
Add 9x to both sides; subtract 5 from both sides.
9x +9x = 50+27-5
18x = 72 Combine like terms. Then divide both sides to solve for x.
x = 4
4+y=5 Substitute 4 for x; solve for y.
y=1
Substitute values of x and Y into the original equation and check.
40 +1 = 10 +4 + 27
41 = 14+ 27
True! 41=41
The numbers are 41 and 14.
what is the fraction of 2 1/4
Answers
Answer:
9/4
Step-by-step explanation:
2 1/4 = 9/4 From mixed fraction to an improper fraction: "the numerator of the improper fraction" = "denominator" xx "the whole number" + "the numerator of the mixed fraction" The denominator remains as it is. So 2 1/4 = (4 xx 2 + 1)/4 = 9/4
Answer:
9/4
Step-by-step explanation:
Multiply the denominator which is 4 by the whole number which is 2.
4 x 2 = 8
Next add the numerator to the 8.
8 + 1 = 9
The 9 is now the numerator and keep the original denominator.
9/4
A line passes through the points (8, 8) and (4, 0). What is its equation in slope-intercept form?
Answers
Explanation: (8,8) 8-4 and 8-0
- (4,0)- 4 8
- you take the 8 as the numerator and 4 and the denominator and then divide 8 by 4 to=2 which is your slope
- you pick 1 set of points (I chose (8,8) to finish the problem)
8(y-intercept)= 2(slope) • 8(x-intercept) +b
8= 16+b
-16 -16 (subtract 16 from both sides)
-8 (8-16) =b {b=-8)
-now you put together your equation,
which leaves you with { y=2(x) - 8}
^ ^
your slope your B value
5 Rectangles and 2/5 of the Rectangles Will Be Purple How Many Purple Rectangles Will She Need To Make 3 Scarfs?
Answers
Answer: 6
Step-by-step explanation:
Here's the complete question:
Olivia is making scarves. each scarf will have 5 rectangles, and 2/5 of the rectangles will be purple. how many purple rectangles does she need for 3 scarves.
Since each scarf have 5 rectangles, and 2/5 of the rectangles will be purple. The number of purple needed for each scarf will be:
= 2/5 × 5 = 2 purple
Therefore, the number of purple rectangles she need for 3 scarfs will be:
= 2 × 3
= 6
I WILL GIVE YOU BRAINLY PLSS
Evaluate m( m + n) – n, use m = 5 and n = -3
A. 7
B. 13
C. 43
D. 37
PLSS SHOW YOUR WORK PLSS
Answers
Answer:
B. 13
Step-by-step explanation:
[tex]m(m + n) - n[/tex]
[tex]m = 5 \\ n = - 3[/tex]
Substitute m = 5 and n = - 3 in the expression.
[tex]5(5 + ( - 3)) - ( - 3) \\ 5(5 - 3) + 3 \\ 5(2) + 3 \\ 10 + 3 \\ 13[/tex]
Remind that negative multiply negative must equal positive.
Distribute 5
25+(-15)-(-3)
The minus (-3) turns into a positive so you get +3 and you add it all together and get 13 :)
What is 0.82 as a fraction in simplest form?
(I also need the work if not its ok!)
Answers
Answer:
f 41/50
Step-by-step explanation:
can you please help me and explain how to do both of these problems, I don't understand
Answers
need help asap will give brainlest
A system of______linear equations has no solution.
Answers
10. Keith has 7.8 ounces of tuna salad. If
he makes 3 sandwiches with an equal
amount of tuna on each, how much tuna
does he put on each one?
Answers
Answer:2.6 ounces per sandwich
Step-by-step explanation: 7.8/3= 2.6
Pedro ordered a 6 footlong sub sandwich and plans to share it with his friends. If each portion is divided evenly in 3/5 of a foot, how many friends will Pedro share his sandwich with?
Answers
Answer:
10
Step-by-step explanation:
You would divide 6 feet by 3/5 of a foot would would be .6 so 6/.6 would be 10This is correct right?
Answers
Answer:
Yes, it is not a diameter
Step-by-step explanation:
It's going through the circle (sphere) which makes it a diameter
I and D are not going straight through the middle
A body falls from rest with an acceleration of 10m/s square. what is the velocity after 5s?How far has it fallen by them.
Answers
Answer:
The velocity after 5s s is 20
PLS someone help me find the slope it’s my last question
Answers
slope is 1
slope formula: y2-y1/x2-x1
4-3/0-(-1)
HELP!!!! BRAINIEST ANSWER + POINTS!!! PLEASE BE SERIOUS (I NEED ALL 5 POINTS + EXPLANATION)
Answers
Answer:
slope=3
y-intercept=-1
Step-by-step explanation:
In a class of 40 students, 26 are girls and 14 are boys. What is the ratio of girls to the total number of students?
Answers
Answer:
13:20
Step-by-step explanation:
no. of girls=26
total no. of students =40
ratio of girls to total no. of students=26:40
which means, the ratio is 13:20
32. Which graph represents yas a function of x?
Answers
Answer:
second one
Step-by-step explanation:
i am pretty sure