Answer:
4[tex]\sqrt{13}[/tex]
4[tex]\sqrt{13}[/tex] + 8
4[tex]\sqrt{13}[/tex] + 16
Step-by-step explanation:
as per the given information:
shorter leg = x
longer leg = x + 8
hypotonuse = x + 8 + 8
remember the Pythagorean theorem, which states
x^2 + y^2 = n^2
where x and y are the legs and n is the hypotenuse
so now one can set up an equation:
x^2 + ( x + 8 )^2 = ( x + 16 ) ^2
simplify and solve using inverse operations:
first preform the square
x^2 + x^2 + 16x + 64 = x^2 + 32x + 256
then preform inverse opertations and simplify
2x^2 + 16x + 64 = x^2 + 32x + 256
-x^2 -x^2
x^2 + 16x + 64 = 32x + 256
-16x -16x
x^2 + 64 = 16x + 256
- 64 -64
x^2 = 16x + 192
-16x -16x
x^2 - 16 = 192
x^2 -4^2 = 192
remember the differnt ways of writing a special square
(x - 4) (x + 4) = 192
x = 4[tex]\sqrt{13}[/tex]
now add 8 to find the longer leg
4[tex]\sqrt{13}[/tex] + 8
an add another 8 to find the hypotenuse
4[tex]\sqrt{13}[/tex] + 8 + 8
4[tex]\sqrt{13}[/tex] + 16
At the beginning of the school year, Jamie had $500 in her savings account. She wants to have at least $200 left in the account at the end of the school year. Each week, she withdraws $30 for spending money. To determine how many weeks she can spend $30, Jamie wrote and solved this inequality. 500 − 30x ≥ 200 −500 −500 −30x ≥ −300 x ≥ 10 Review Jamie's work. What was her error?
Answer:
Step-by-step explanation:
Given the inequality solved by H=Jamie expressed as:
500 − 30x ≥ 200
We need to calculate the range of x of the inequality to determine the number of weeks she can spend $30 as shown:
500 − 30x ≥ 200
Subtract 500 from both sides
500 − 30x - 500≥ 200 - 500
− 30x ≥ -300
Divide both sides by -30
− 30x/-30 ≥ -300/-30
x ≤ 10 (note that the inequality sign changes after dividing both sides by a negative sign)
Jamie's error was that she didn't change the sense of inequality after dividing both sides by -30 hence rendering her solution incorrect
Hence the number of weeks is less than or equal to 10.
Answer:
Answer is B
Step-by-step explanation:
Jamie should have reversed the inequality when using the division property of inequality. is the right answer hope it helps
which rational number could comes next
Answer:
d
Step-by-step explanation:
Divide. 451.85 : 100
how do i do this???
Answer:
4.5185
hope this helps.
Six gallons of gasoline cost $15.06. What is the price of gasoline per gallon
Answer:
A single gallon of gasoline would be $2.51.
Step-by-step explanation:
It's as simple as dividing the 6 gallons of gasoline by $15.06.
15.06 / 6 = 2.51
Hope this helps.
If g(x) = 3/2x + 4, what is the value of g(2)?
A. 10
B. 7
C. 5
D. 3.5
Answer:
The answer is option BStep-by-step explanation:
[tex]g(x) = \frac{3}{2} x + 4 \\ [/tex]
To find g(2), substitute the value of x that's 2 into g(x). That is for every x in g(x) replace it with 2
We have
[tex]g(2) = \frac{3}{2} \times 2 + 4 \\ = 3 + 4[/tex]
We have the final answer as
7Hope this helps you
12 X 0.4
Please help
Answer:
12 times 0.4 equals 4.8
Step-by-step explanation:
becase if u add 0.4 together 12 times thus will give you 4.8
12*4 = 48
48/10 = 4.8
Which quadrant contains the point named by (2,5)
Answer:
Quadrant 4
Step-by-step explanation:
Create the polynomial which has roots 3and 2
Answer:
f(x) = x² - 5x + 6
Step-by-step explanation:
Given a root of a polynomial x = a then the factor is (x - a)
Here the roots are x = 3 and x = 2 , thus the corresponding factors are
(x - 3) and (x - 2)
The polynomial is then the product of the factors, that is
f(x) = (x - 3)(x - 2) ← expand using FOIL
= x² - 5x + 6
What is the value of 3-(-2)?
A. 0 -5
B. -1
C. 0_1
D. 5
Write an exponential expression: choose a number between 0 and 10 to be the base and another number between 0 and 10, different from the base, to be the exponent. Label the base and the exponent. Then write the exponential expression in expanded form and standard form.
Answer:
2^4
2 * 2 * 2 * 2
Step-by-step explanation:
In the question above :
Write an exponential expression:
Base = number between 0 and 10
Exponent = number different from the base between 0 and 10
Let base = 2
Let exponent = 4
Hence, exponential expression will be
Base^exponent
2^4 (standard form)
Expanded form:
2 * 2 * 2 * 2 (multiply 2 in 4 places)
Which phrase best represents the following?
"Six times the quantity of four plus a number"
0 64 + n)
O 6n + 4
0 6(4) + n
O 4n + 6
Answer:
C. 6(4) + n
Step-by-step explanation:
Six
6
Times the quantity of four
(4)
Plus a number
+n
The phrase that best represents six times the quantity of four plus a number is 6(4) + n.
What is a numerical expression ?A numerical expression is a form where we express a statement by number and their operations.
According to the given phrase six times the quantity four which is 6(4) plus a number.
6(4) + n.
What we have done here is we formed a numerical expression from a given statement.
Suppose we have given sum of 4 and thrice of a number is 10.
So, 4 + 3n = 10
3n = 10 - 4
3n = 6
n = 2.
So the number is 2.
learn more about numerical expression here :
https://brainly.com/question/14642484
#SPJ2
A staircase has an angle of elevation of 28 degrees and covers a total distance of 17 feet. To the nearest foot, what is the vertical height h covered by the staircase?
Answer:
..
Step-by-step explanation:
what is 4x +9 in a verbal expression?
Answer:
four times a number plus nine
Step-by-step explanation:
Which of them is correct? I'm like, slow right now.
Answer:
c
Step-by-step explanation:
.
.
.
.
.
.
.
.
................
Answer:
its the one you have clicked in the pic E
Step-by-step explanation:
a ratio of angel fish at a store is 5:4. the ratio of angel fish to goldfish is 4:3 . There are 60 clown fish at the pet store
how many angel fish are there?
how many goldfish are there
Answer:
an i oop
Step-by-step explanation:
Answer:
So if there are 60 clownfish and the ratio from clownfish to angelfish is 5:4, this is the equation you are looking at:
5:4 = 60:?
To find ? you have to do 60 divided by 5 which equals 12 and multiply it times 4 to see how many angelfish there will be if there are 60 clownfish.
12 x 4 = 48
So if there are 60 clownfish there will be 48 angelfish. The ratio is 60:48
For the next one, same thing if there are 48 angelfish, then you are looking at this equation:
4:3 = 48:?
Again, we solve like we did the last one.
48 divided by 4= 12
3 x 12= 36
So, if there are 48 angelfish there will be 36 goldfish. The ratio is 48:36
I hope this helps:)
Step-by-step explanation:
In the complex number -12i. what is the real part?
Answer:
the real part is part of -12i is 0
In the graph of an inequality, the area above a solid line through the points (−5, 2) and (3, 2) is shaded.
Which inequality does this graph represent?
A. y ≥ 2
B. y ≤ 2
C. y 2
Answer:
A. y ≥ 2
Step-by-step explanation:
First the line is solid, a complete line not dotted so the inequality sign to use is : ≥ or ≤
The points have their y-coordinate vale as 2, (−5, 2) and (3, 2), this means the line crosses the y-axis at y=2 but because the shaded part is above this line, then the correct inequality will be :
y ≥ 2
See attached graph below.
I have 120 blocks. Each block is one of 2 different materials, 3 different colors, 4 different sizes and 5 different shapes. No two blocks have exactly the same all four properties. I take two blocks at random. What is the probability that these two blocks have exactly two of these four properties the same?
Answer: 0.54
Step-by-step explanatio;
We would have three in common out of 4 characteristics (4 out of 4 is not possible). There are 4 possible ways to share 3 out of 4 characteristics.
Denoting the characteristics as {M,C,Si,Sh} so P(B2={1,1,1,0}|B1={1,1,1,0}) is the probability that box 2 shares its first three characteristics with box 1 given that box one has characteristics
We now have
P(B2 has 3 elements in common with B1)=P(B2={1,1,1,0}|B1={1,1,1,0})xP(B1={1,1,1,0})+P(B2={1,1,0,1}|B1={1,1,0,1})xP(B1={1,1,0,1})+P(B2={1,0,1,1}|B1={1,0,1,1})xP(B1={1,0,1,1})+P(B2={0,1,1,1}|B1={0,1,1,1})xP(B1={0,1,1,1})
P(B2 has 3 elements in common with B1)=(4x5x24+3x4x30+2x3x40+1x2x60)1120x119= 0.084
which is close enough to the value from the simulation code (modified to count the number of 3-ties)
Now, I use the same reasoning to compute:
P(B2 has 2 or more elements in common with B1)=(19x20x6+11x12x10+9x10x12+14x15x8+7x8x15+5x6x20)1120x119= 0.54
Equation: (2-1)((3-1)+(4-1)+(5-1)) + (2)((3)+(4)) + (12) = 35 with a total of 119 possibilities.
answer: 35/119
help me asp and explain please
Okay so, to get C you add the ones inside the triangle together.
42+58=100 Then the last angle will be 80, because when you add the three inside the triangle, you should get 180
42+58+80=180
To get D, you have to subtract 180 and 58, because 58+d will be a straight angle.
180-58=121
To get B and A, you would also have another straight angle (c, b, and a)
180-80=100
I believe that B=A, so, with the remaining 100, both A and B equal 50.
50+50+80=180
Does this help??
Answer:
a° = 58°
b = 42°
c° = 80°
d° = 122°
Step-by-step explanation:
d° can be found because a straight line has an angle of 180°.
180° - 58° = 122°
Because the angles of a triangle add up to 180°, we can find c°
58° + 42° = 100°. 180° - 100° = 80°
You can find a° subtracting 180 and d°, which is 122. 180° - 122° = 58°
You can do the same thing for b°. 180° - 42° = 138°. 180° - 138° = 42°
You can check this because b° + c° + a° should equal 180°.
58° + 42° + 80° = 180°
I hope this helps :)
if you are asked to solve a system of equations in which there is no linear equation to start with, you can sometimes begin by isolating and substituting a variable that is squared in both equations.
Answer:
A. True
Step-by-step explanation:
A. P. E. X. Just took the quiz.
Answer:
Step-by-step explanation:
it is true
Express 0.77230.77230, point, 7723 as a fraction
Answer:
7723/10000
Step-by-step explanation:
A survey got 67,371 responses. The survey has 24 questions. How many total answers need to be processed?
Answer:
1,616,904 answers.
Step-by-step explanation:
67,371
x 24
______
1,616,904
BRAINLIEST ANSWER! please show the steps
-6k-24 > = 6 (1-2k)
Answer:
Step-by-step explanation: first multiply 6x1 and 6x2k on the right= -6k-24>=6-12k
Then add 12k to both sides. (positive) 6k-24>=6 Then add 24 to both sides.
6k>=30 Divide. 6/6 and 30/6 and your answer is 5
Which property of equality would be used to solve the equation 59 = x - 26?
multiplication
addition
division
subtraction
Answer:
addition
Step-by-step explanation:
because u always have to reverse operation
Answer:
subtract
Step-by-step explanation:
whats 1000000000000000000000000x10000000000000000000000000
Answer:
I think my calculator broke and it gave me 1e49
Look at the equation below.
d=(ri+r2)t
Which of the following shows the equation solved correctly for 11?
O ri=
n1 = 12
T =
det
T2
r = -2
O T1= .
dra
Answer:
D
Step-by-step explanation:
Select the correct answer.
Which equation represents the vertical line passing through (7,-3)?
A.
x = -3
B.
y = -3
C.
x = 7
D.
y = 7
Answer:
C. [tex]x=7[/tex]
Step-by-step explanation:
So we know that a vertical line is represented by [tex]x=[/tex] so we can already rule out two of the options. We also know that since the line runs vertically, all points will start with the same [tex]x[/tex] coordinate. This means that the correct answer is [tex]x=7[/tex]
Answer:
the answer is c x=7
Step-by-step explanation:
Divide.
1/3 divided by 1/6
Answer:
The answer is 2.
Step-by-step explanation:
Hope that helped! Have a brainly day! :D
Answer:
2
Step-by-step explanation:
take the SECOND fraction and use its reciprocal (so 1/6 is now 6/1). Then, multiply across. so 1 x 6 and 3 x 1. Now you have 6/3. Lastly, you divide 6 by 3 and you're all done!
Which histogram represents the data?
4, 6, 8, 12, 14, 16, 18, 24, 28, 30, 34, 36, 38, 40, 46, 50, 54
Answer:
The first graph is correct
Step-by-step explanation:
There are 3 numbers in the 0-9 range
There are 4 numbers in the 10-19 range
There are 2 numbers in the 20-29 range
There are 4 numbers in the 30-39 range
There are 2 numbers in the 40-49 range
There are 2 numbers in the 50-59 range
The only graph that has the correct information is the first graph
I hope that this helps :)
9/20 - 1/4
helpppppp
Answer:
1,9772
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
First you have to give each fraction a common denominator of 20. so
9/20-5/20=4/20 or if you reduce, 1/5.
Hope this helps :)