Answer:
13.7477270849 to 19.7230829233.
Step-by-step explanation:
1. Using the pythagorean theorem, a²+b²=c², we try different combinations of given lengths 10 and 17.
2. If 10 and 17 are legs and 10²+17²=√389 = 19.7230829233, then c=19.7230829233.
3. If 10 is a leg and 17 is a hypotenuse,
10²+b²=17²
100+b²=289
b²=189
b=13.7477270849
4. The case of 17 is a leg and 10 is a hypotenuse is not possible because the hypotenuse is the longest side.
5. The range of the length of the 3rd side is 13.7477270849 to 19.7230829233.
What is 38 + 7k = 8(k + 4)
Steps
38 + 7k = 8k + 32
38 + 7k - 38 = 8k + 32 - 38
7k = 8k - 6
7k - 8k = 8k - 6 - 8k
-k = -6
-k/-1 = -6/-1
k = 6
Answer
k = 6
answer po plss plss plss
Answer: OPTION A. 72
To find the difference beetween two numbers we need to subtract them.
So we need to figure out 46- (-26)
⇒46-(-26)
AS WE HAVE A NEGATIVE SIGN OUTSIDE THE BRACKET AND A NEGATIVE SIGN INSIDE THE BRACKET TO, THE NEGATIVE SIGN WILL GET MUTILPLIED TO THE NEGATIVE BEFORE THE BRACKET THUS WE WILL HAVE -×- AND WHEN SIGN IS MULTIPLIED WITH A NOTHER NEGATIV ESIGN THE PRODUCT IS POSITIVE SIGN SO,
46+26
⇒72
Chanyeol makes a rectangle whose area is x^2 - 24x - 52. Find the possible dimension of the rectangle.
A. (x - 2) (2x - 1)
B. (x + 3) (x)
C. (x + 2)(x + 4)
D. (x + 2) (x - 26)
Answer:
D
Step-by-step explanation:
Factor the equation.
x² - 24x - 52
Two numbers when multiplied equals to -52 and added equals to -24 are -26 and +2.
Therefore,
(x+2)(x-26) is the right answer.
1/4 to the power of 7 times 1/4 to the power of -4
Answer:
0.015625
Step-by-step explanation:
the answer is 0.015625
Answer:
1/4^3
Step-by-step explanation:
1/4^7 x 1/4^-4 = 1/4^ 7+-4
=1/4^3
Herman and his dad are leaving early in the morning for his lacrosse tournament. Their house is 210 miles from the tournament. They plan to stop and eat after 2 hours of driving, then compete the rest of the trip. Herman's dad plans to drive at an average speed of 60 miles per hour. How long will the second part of the trip take
The second part of the trip took 1.5 hours.
Average Speed is the ratio of the total distance travelled to the total time taken to cover that distance. It is given by:
Average Speed = total distance ÷ total time
Given that the distance from the house to the tournament is 210 miles, hence:
Total distance = 210 miles
Also, The journey was in two parts, the first part took 2 hours. Let the second part take t hours. Therefore:
Total time = t + 2
The average speed of 60 miles per hour, hence:
60 = 210 ÷ (t + 2)
60(t + 2) = 210
60t + 120 = 210
60t = 90
t = 1.5 hours
Therefore the second part of the trip took 1.5 hours.
Find out more at: https://brainly.com/question/9834403
Four less than the product of three and n
Answer:
Statement should be : "4 less than the product of 3 and some number x is y" => 3x-4 = y
Step-by-step explanation:
Let "Four less than the product of three and n"
From the given statement we get an algebraic expression 3x - 4 = y.
What is an algebraic expression?An algebraic expression in mathematics exists as an expression that stands created up of variables and constants, along with algebraic operations like addition, subtraction, etc. x exists a variable, whose value exists unspecified to us and can take any value.
An algebraic expression exists as an indication acquired by a finite number of the fundamental operations of algebra upon characters symbolizing numbers.
Let "Four less than the product of three and n". From the given statement we get an algebraic expression 3x - 4 = y.
To learn more about algebraic expression
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Show that the equation x^3 + 6x - 5 = 0 has a solution between x = 0 and x=1
Answer:
Step-by-step explanation:
Solve the equation for 0 and 1:
x^3 + 6x -5
Replace x with 0:
0^3 + 6(0) -5 = -5
Replace x with 1:
1^3 + 6(1) -5 = 1+6 -5 = 2
Because the value of f(0) is negative and the value of f(1) is positive then there is at least one value of x between 0 and 1 that f(x) = 0
If a horse runs 3/4 km in a minute, how many kilometers will the horse run in 7 minutes?
f(x) = sqrt(2x); g(x) = sqrt(8x) Find (fg)(x) Assume x >= 0
The functions f(x) and g(x) combine to form a composite functions
The value of the composite function f(g(x)) is [tex]\sqrt{4\sqrt{2x}[/tex]
How to determine the function (fg)(x)The functions are given as:
[tex]f(x) = \sqrt{2x[/tex]
[tex]g(x) = \sqrt{8x[/tex]
To calculate (fg)(x), we have:
[tex]f(x) = \sqrt{2x[/tex]
This gives
[tex]f(g(x)) = \sqrt{2g(x))[/tex]
Substitute [tex]g(x) = \sqrt{8x[/tex]
[tex]f(g(x)) = \sqrt{2*\sqrt{8x}[/tex]
Simplify
[tex]f(g(x)) = \sqrt{4\sqrt{2x}[/tex]
Hence, the value of the composite function f(g(x)) is [tex]\sqrt{4\sqrt{2x}[/tex]
Read more about composite functions at:
https://brainly.com/question/10687170
Answer:
f.g x = 4x
Step-by-step explanation:
THE ONES THAT ARE IN GREY ARE THE ANSWER OPTIONS.
Answer:D
total 450 marks 90 of which are maths
90/450= 0.2
0.2=20%
20% is D
Step-by-step explanation:
Answer:
the answer is D
Step-by-step explanation:
90/450=2/10
John wants to make cupcakes. To make cupcakes, he needs 5/7 of a cup of flour per
batch of cupcakes. If John has 10 cups of flour, then how many batches of cupcakes can
John make?
A model of a building is 18 inches tall. If the building is really 678 feet tall, how tall is a window that is 1/9 in on the model? Round to the nearest tenth if needed.
Answer:
50.2in or 4.2ft
Step-by-step explanation:
This is a problem about proportions so I generally set up my problems like below. I just set some variable here to make it easier to refer back to the measurements for each. You don't have to do this, I am just showing it for clarity. I will convert everything to inches too. We need to find the real window height.
Mb = model building = 18in
Mw= model window = [tex]\frac{1}{9}[/tex]in
Rb = real building = 678ft = 8136in
Rw = real window = ?
[tex]\frac{Mw}{Mb}[/tex] = [tex]\frac{Rw}{Rb}[/tex]
[tex]\frac{1/9}{18}[/tex] = [tex]\frac{Rw}{8136}[/tex]
[tex]\frac{1}{9*18}[/tex] = [tex]\frac{Rw}{8136}[/tex]
[tex]\frac{1}{162}[/tex] = [tex]\frac{Rw}{8136}[/tex]
[tex]\frac{1*8136}{162}[/tex]= [tex]\frac{8136*Rw}{8136}[/tex]
[tex]\frac{8136}{162}[/tex] = Rw
[tex]\frac{452}{9}[/tex] = Rw
Rw ≈ 50.2in ≈ 4.2ft
Each scatter plot below shows the same data.
Which scatter plot has the most reasonable line of best fit?
Answer:
bottom right corner
Step-by-step explanation:
Answer:
Step-by-step explanation:
Scatter plots' primary uses are to observe and show relationships between two numeric variables. ... Relationships between variables can be described in many ways: positive or negative, strong or weak, linear or nonlinear. A scatter plot can also be useful for identifying other patterns in data.
Evaluate the expression
-2(12 – 2(-4))?
Please help me last day to do this
Answer:
Q = 51, S = 51, R = 78
Some friends played a board game. During the game, one unlucky player had to move back 4 spaces 5 turns in a row.
Find a number to represent that player's movements for those 5 turns
Answer:
-9 * 7 = -63
Step-by-step explanation:
if x:y = 2:5, find the value of (x + y) : (2x-3y)
Answer:
(x + y) : (2x-3y) = - 7/11
Step-by-step explanation:
The ratio is denoting:
x = 2
y = 5
Substitute your values into the equation's variables (x and y). Then solve.
(x + y) : (2x-3y)
(2 + 5 ) : [2(2) - 3(5) }
7 : [4-15]
7: -11
ratios can be turned into fractions.
7: -11 is the same thing as - 7/11
Which situation results in a final value of zero?
the overall change in temperature when the temperature goes from -10°F to 10°F
the total profit made when a person buys an item for $3 and then sells the item for $3
the overall change in altitude of a hot air balloon after rising 21 kilometers from sea level
the total distance a person travels when he bikes 5 miles to school and then bikes 5 miles back home
find the slope of the line
Write this ratio as a fraction in the simplest form without any units. 8 yards to 15 feet. full anwser.
Answer:
8/3
Step-by-step explanation:
15 feet = 3 yards
8 yards to 3 yards
Your welcome!
Kayden Kohl
8th Grade Student
Help ASAP I’ll mark you as brainlister
Answer:
about 0.10 cents a unit
Step-by-step explanation:
If I'm wrong, I'm sorry!!
I hope you have a great day! Good luck with your math!
Find the distance between the points (7, –5) and (–2, –4).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
ALL MY POINTS
9.055
Step-by-step explanation:
distance
= √(x₁ - x₂)² + (y₁ - y₂)
= √[7 - (-2)]² + [-5 - (-4)]²
= √[9]² + [-1]²
= √(81 + 1)
= √82
≈ 9.055
using a number line, find both the intersection and the union of the following interval: (-∞, 7) and [-5, +∞)
Step-by-step explanation:
the intersection of the interval: (-∞, 7) and [-5, +∞)
is [-5, 7)
and the union of the interval: (-∞, 7) and [-5, +∞)
is (-oo, +oo)
solve the equation and show work
2 (f - 2) = 3 (2f + 5) -8
Answer:
f=-2.75
Step-by-step explanation:
2(f-2)=3(2f+5)-8
2f-4=6f+15-8
2f-6f=7+4
-4f=11
f=-11÷4
=-11/4=-2/3/4=-2.75
Find the linear correlation coefficient for the table below. Keep 4 numbers AFTER the decimal
х
у
1
5
3
7
1.5 6
0
1
5
9
10 10
5
8
11
12
15 20
Answer:
no answer sorry I only study in class 7
Help me please
x/3+12=2
Answer:
x = -30Step-by-step explanation:
minus 12 on both sides
updated equation: x/3=-10
multiply 3 on both sides
updated equation
x = -30
5 divided by 29.95 show work please
0.167
Step-by-step explanation:
5 ÷ 29.95
= 5 ÷ 2995/100
= 5 × 100/2995
= 500/2995
≈ 0.167
Help please i need the answer by tonight for my grades
Answer:
X equals negative 11
Step-by-step explanation:
The angles in a triangle add up to be 180 degrees, and we already have 80 as one angle and 60 as the other. That equals 140 degrees. But now we have x+51. That would equal 191 degrees, so 191-180=11, so x= -11
Answer:
x=-11
What we know=
Angles A'=x+51
Angle B=60
Angle C=80
Angle B' and C'=?
Due to the vertically opposite angle rule, we know angle B' and C' are the same as angle B and C.
So, angle B' is 60 degrees. Angle C' is 80 degrees.
We can add them together to get 140 degrees.
So we have 140, x+51. We can make an equation.
[tex]180=140+51+x[/tex] We can combine like terms (140 and 51) to get 191
A triangle only adds up to 180 degrees. So now you can subtract 180-191=to get x.
8th Grade
Can you help me please, and how did you get your answer. I don't know how to do this.
Look at Image
Answer:
y= 3 when x= 0
y=3
Step-by-step explanation:
in the problem, there's a patten in the difference of X and Y,
at first, Y is 3 more than X (2 and 5)
then y is 4 more, 5 more, and 6 more.
y goes up by 1 each time
so if Y is 5 when X is 2, then when X is 1 Y is 4
when X is 0 Y is 3
Answer:
2?
Step-by-step explanation:
y is adding by 3 every time...
Maybe that helps?
Which value in scientific notation is the best estimate for 0.0000058102?
A.
5 × 10-5
B.
6 × 10-5
C.
5 × 10-6
D.
6 × 10-6
Answer:
option C 5×10-6 is right answer
Answer:
[tex]c \: ) \: 5 \times 10 - 6[/tex]
c is the answer