Answer:
5/12 - 4/5 = -23/60. You can't simplify -23/60. Hope this is right
Step-by-step explanation:
4/5= 48/60
5/12 = 25/60
25/60-48/60= -23/60
Kira is using the figure shown to prove the Pythagorean theorem. She starts by writing the
equation (a + b)2 – 2 = 4( ab) because she knows two equal ways to represent the area
of the shaded region. Which best describes the next steps Kira should take to complete her
proof?
Answer:
B. Simplify both sides of the equation to get [tex]a^2 + 2ab + b^2 - c^2 = 2ab[/tex]; then subtract 2ab and add [tex]c^2[/tex] to both sides of the equation
Step-by-step explanation:
Given
[tex](a + b)^2 - c^2 = 4(\frac{1}{2}ab)[/tex]
Required
Describe the next steps to
First, we open all brackets
[tex](a + b)^2 - c^2 = 4(\frac{1}{2}ab)[/tex]
[tex](a + b)(a + b) - c^2 = 4(\frac{1}{2}ab)[/tex]
[tex]a^2 + 2ab + b^2 - c^2 = 4 * (\frac{1}{2}ab)[/tex]
[tex]a^2 + 2ab + b^2 - c^2 = 2ab[/tex]
At this point, options A and C are incorrect because they didn't present the right result of the expression.
So, we have options B and D to consider
The next step is to subtract 2ab from both sides
[tex]a^2 + 2ab + b^2 - c^2 - 2ab = 2ab - 2ab[/tex]
Collect like terms
[tex]a^2 + b^2 - c^2 +2ab - 2ab = 2ab - 2ab[/tex]
[tex]a^2 + b^2 - c^2 = 0[/tex]
Lastly, to prove the Pythagoras theorem, the equation has to be in form of[tex]a^2 + b^2 = c^2[/tex]; meaning the [tex]c^2[/tex] is added to both sides; See below
[tex]a^2 + b^2 - c^2 = 0[/tex]
Add [tex]c^2[/tex] to both sides
[tex]a^2 + b^2 - c^2 + c^2= 0 + c^2[/tex]
[tex]a^2 + b^2 = c^2[/tex]
At this point, only option B completes Kira's proof
Answer:
It’s B
Step-by-step explanation:
I did the test
What is the surface area of the cylinder with height 5 m and radius 8 m?
Round your answer to the nearest thousandth.
Answer: 653.45m²
I got it right thats why
PLS HELP NEED TO PASS TEST :)))))
Find the surface area of the regular pyramid shown to the nearest whole number. The figure is not drawn to scale.
351 m^2
415 m^2
542 m^2
790 m^2
sandra cut her sandwich into 3 equal parts. she ate 1 part for lunch. what fraction of the sandwich did sandra eat for lunch?
what is the negative square root of 3/2
-3/2
there is no negative square root of 3/2
there is no square root of -n
if n is negative, there is no square root
Answer:
There is no square root of n , if n is negative
Answer:
(D) square root 3/ 3
Step-by-step explanation:
took the assignment test
HELP ASAP FIRST CORRECT GETS BRAINLIEST
Answer:
Right
Step-by-step explanation:
Answer: the first one is x less than 468 and the second one is and open circle at 468 and the third one is go left
Step-by-step explanation:
it would be a open circle if it wasnt a line under it and it would move the oppisite which is the left
Which number is divisible by 3?
A 137
B 136
C 138
D 41
Answer:
C (148)
Step-by-step explanation:
All numbers divisible by 3:
The numbers equal to something divisible by 3
ex:
138=
1+3+8= 12 which is divisible by 3, so 138 is divisible by 3
Answer:
138
Step-by-step explanation:
We know that if the sum of the numbers that make up 138 is divisible by 3, then 138 is divisible by 3. Note: If you divide 138 by 3, you get 46 which is a whole number.
What is the value of g?
The image is of a circle with a tangent and a secant, which are intersecting at an angle 38 degrees. Measure of smaller arc cut by them is g degrees and that of bigger arc is 119 degrees.
A. 124
B. 43
C. 100
D. 86
We have been given a circle with a tangent and a secant, which are intersecting at an angle 38 degrees. We are asked to find the measure of arc g.
We can see that angle with 38 degrees measure is a secant tangent angle outside the circle.
We know that measure of an angle formed by intersection tangent and secant outside circle is half the difference of intercepted arcs.
[tex]38^{\circ}=\frac{1}{2}(119^{\circ}-g^{\circ})[/tex]
[tex]38^{\circ}\cdot 2=\frac{1}{2}\cdot 2(119^{\circ}-g^{\circ})[/tex]
[tex]76^{\circ}=119^{\circ}-g^{\circ}[/tex]
[tex]76^{\circ}+g^{\circ}=119^{\circ}-g^{\circ}+g^{\circ}[/tex]
[tex]76^{\circ}+g^{\circ}=119^{\circ}[/tex]
[tex]76^{\circ}-76^{\circ}+g^{\circ}=119^{\circ}-76^{\circ}[/tex]
[tex]g^{\circ}=43^{\circ}[/tex]
Therefore, the measure of smaller arc is 43 and option B is the correct choice.
The interest received on a savings account varies directly with the amount deposited. Daniel received $55.35 in interest on $1230 he deposited. How
much interest would Daniel have received if he had deposited $2000 into
his account? *
A. $1,285.35
B. $34.04
C. $90.00
D. $44,444.44
Answer:
90.00
Step-by-step explanation:
because all they did was add a couple of hundred that would not boost the 55.35 all the way to the thousands so A is not right It's not B because 55.35 is more than 34.04 so it's not B it's not D because 44,444.44 is just way too high it's even higher than option A.
Arial says that, for any pair of linear relations, if the coefficients of the y-terms are equal and the coefficients of the x-terms are equal, the graphs of the two lines will be parallel.
a. Give an example for which Arial's claim is true.
b. Give an example for which Arial's claim is false.
c. Suggest an improvement to Arial's claim.
Answer:
a. Give an example for which Arial's claim is true.If linear relations have equal coefficient about the independent variable, then those linear relations are parallel. For example, [tex]y=3x+4[/tex] and [tex]y=3x-5[/tex].
Notice that the coefficient of the dependent variable must be also equal, otherwise it would change the slope of the expression and they wouldn't be parallel.
b. Give an example for which Arial's claim is false.The statement is not false.
c. Suggest an improvement to Arial's claim.An improvemente would be that the constant term no need to be equal too, between linear relations, because they can be at "differecent heights", sort of speak.
64. In a pond of 1,600 fish, 25% of the fish are trout. The remaining fish are bass. How fewer trout are there than bass?
Answer:
There are 400 trout and 1,200 of them are bass.
17. Which of the following forces is not a
long-range force?
A) gravitational force
B) friction
() electric force
D) magnetic force
Answer: D. Magnetic Force
Step-by-step explanation:
The range isn't compatible from a long distance. Only when close to contact.
Answer:
the answer is magnetic force
hope this helps u
What is the slope of a line that is parallel to the line shown?
Question and options in images below.
Answer: m= 2/3
Step-by-step explanation:
4/6 simplify into 2/3
The label that wraps around a a can is 4 inches long. How wide is the can?
1.273 is the answer
bc the label is circumference and the width would be diameter
so circumference divided by pi is diameter
so 4 ÷ 3.14 = 1.273
Determine whether 90.5m .92m is equivalent to each of the following expressions.
Equivalent
Not equivalent
ვნm
81m
92.5m
Answer:i think it is 92.5
WILL MARK BRAINLIEST! A bag has 4 blue marbles, 6 green marble and 3 red marbles in it. What is the ratio proportion of pulling a red or green marble from the bag ? *
Answer:
9:13
Step-by-step explanation:
Solve for y: 4.0
2y + 16 = 0
Answer:
y=-8
Step-by-step explanation:
2y+16=0
2y=-16
y=-8
A manager samples the receipts of every fifth person who goes through the line. Out of 50 people, 4 had a mispriced item. If 1,600 people go to this store each day, how many people would you expect to have a mispriced item?
Answer:
128
Step-by-step explanation:
There are 32 50's in 1600.
So 32x4=128
Solve for x
HELPP PLEASEE
20 points!
Answer:
[tex]\sqrt{119}[/tex]
Step-by-step explanation:
Basically you need to have the third value of the other triangle to be able to solve for the other triangle. Use pythagorean theorem to find the missing values.
a^2+5^2=10^2
a^2+25=100
a^2=75
square root of 75
a=5[tex]\sqrt{3}[/tex]
5[tex]\sqrt{3}[/tex]^2+x^2=12^2
[tex]\sqrt{119}[/tex]
Answer:
8 1/3, or 8.307
Step-by-step explanation:
First we need to get the measurement of the division line, or the middle line. We can use the Pythagorean Theorem! How exciting!
[tex]10^{2} - 5^{2} = 75[/tex]
Now, you have two options:
A) If you are good at math and can understand shortcuts, there is no need to take the square root of this, as you will instantly have to square it as we use it in the second half.
B) If you need to have something written down for your though process, go ahead and square root 75.
I am going to use option A, but if you need me to explain why we do not have to take the square root, follow along, and if you still do not get it, do not be afraid to ask!
For the second half of the problem, to find x, we must again use the Pythagorean Theorem!
[tex]12^{2} = x^{2} + 75[/tex]
144 - 75 = 69
[tex]\sqrt{69} = 8.30662386292[/tex]
And now we are done, with a final answer of 8.307, or [tex]8\frac{1}{3}[/tex]!
Hope this helps! Math is fun!
15 points for this!! ( btw d is 90 it got cut off)
Answer:
The value of x is D) 90°
Step-by-step explanation:
The sum of interior angles in a quadrilateral is 360°
As the total interior angles in a quadrilateral is 360 to work this out you would first need to work out the total of the angles given You can do this by adding 101 and 75 and 94, this gives you 270. This is because it tells us how much of that 360 degree total has been used.
The next step is to work out the angle of x. You can do this by subtracting the total angles gives of 270 from the total of 360, this gives you 90 degrees. This is because by subtracting it we are isolating the value of x.
1) Add the values of 94, 101, 75.
[tex]101+94+75=270[/tex]
2) Minus 270 from 360.
[tex]360-270=90degrees[/tex]
Jake received a student loan for $12,000. He plans on paying off the loan in five years. At the end of five years, J. Cole have paid $3600 in interest. What is a simple interest rate on the student loan?
Answer:
The simple interest rate on the student loan is 6%.
Step-by-step explanation:
To solve for the simple interest rate, use the formula for total simple interest:
[tex]I = Prt[/tex]
[tex]I[/tex] = total interest paid
P = principal, or starting value
r = interest rate in decimal form
t = time in years
State known values
P = 12,000
t = 5
[tex]I[/tex] = 3,600
Substitute known values and isolate "r"
[tex]I = Prt[/tex]
3,600 = (12,000) (r) (5)
3,600 = (60,000) r
r = 0.06
Since "r" is given as a decimal, convert this to a percentage by multiplying by 100.
0.06 = 6%
∴ The simple interest rate on the student loan is 6%.
Answer=6%
Step-by-step explanation:
Principal(P)=12000
Time(T)=5 yrs
Interest(I)=3600
We have,
I=PTR/100
3600=(12000*5*R)/100
3600*100=60000*R
R=360000/60000
R=6%
which value makes the equation
3x - 6 = 36 true?
a) 10
b)12
c)14
d)16
Answer:
C) 14
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 6 to both sides:
3x - 6 (+6) = 36 (+6)
3x = 36 + 6
3x = 42
Next, divide 3 from both sides:
(3x)/3 = (42)/3
x = 42/3
x = 14
c) 14 is your answer.
~
Find the difference. Write your answer in standard form.
(5x3−3x+6)−(2x2−4x+8)
The difference is _______
Answer: 5x^3 + x-6
Step-by-step explanation:
Find the area. Will mark brainliest.
Answer:
98... BTW Google has a calculator to figure this out :) brainliest pls
Answer: why dont you find your own, we have same brain capacity, or you have less?
Step-by-step explanation: brainiest
PLEASE HELP I WILL MARK BRAINLIEST
Right to expressions that are equivalent to the expression below.
(9-c) + (9-c) + (9-c) + (9-c)
Answer:
36-4c
plz mark brainliest
need help with this question it’s a mastery grade!
the area of the base of a triangular prism is 4.5 and the lenght of the prism is 5. what is the volume of the prism
Hi! I need to know the height of the prism to solve the volume. Please describe that and I will surely be able to help you. Have a nice day!
Find the distance between (6, −2) and (1, −2).
Question 14 options:
5 units
6 units
7 units
4 units
Answer:
5 units
Step-by-step explanation:
the formula is delta y over delta x.
The distance between -2 and -2 is 0
The distance between 6 and 1 is 5
So, it's 5 units.
Hope this helps :)
i need your help please asap
Step-by-step explanation:
First we will calculate the total amount spent on each website so
Website A = 49.95 + 4.39 = 54.34
Website B = 47.68 + 6.95 = 54. 63
So website A is cheaper by €0.29
?????HELPPPP PLEASE
Answer: choices 1 and 4
Step-by-step explanation:
A central angle is the angle that forms when two radii meet at the center of a circle. So the answers are the ones with point D in the middle.
