Step-by-step explanation:
it is a right-angled triangle, so the side lengths need to fulfill the Pythagoras rule :
c² = a² + b²
where c is the Hypotenuse, the baseline opposite of the 90 degree angle. and a and b (often called legs) are the sides "enclosing" the 90 degree angle.
so, we have
20² = a² + 12²
400 = a² + 144
a² = 256
a = 16
FYI - we could have picked the right answer also by eliminating the wrong given answer options.
as this is a right-angled triangle :
a cannot be longer than the baseline (20).
that eliminates already the first 2 options.
and then look at the picture : a cannot be shorter than b (the other side line (12)).
that eliminates the third option.
A skyscraper has 49 floors there are 26 offices on each of the bottom 31 fours the top 18 floors each have 38 officers about how many officers are there in the sky scraper all together
Answer:
903 offices
Step-by-step explanation:
Total number of officers in the sky scraper
= 26 + 31 + [(49-2)×18]
= 26 + 31 + 846
= 903 offices
$400 at 6.3% for 4 years. Find the simple interest
Answer:
the amount of interest is $100.80
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 6.3%/100 = 0.063 per year,
then, solving our equation
I = 400 × 0.063 × 4 = 100.8
I = $ 100.80
The simple interest accumulated
on a principal of $ 400.00
at a rate of 6.3% per year
for 4 years is $ 100.80.
BRAINLIEST PLEASE!
If the room is a 14 by 12' rectangle then the strip of wallpaper needs to be at least how long?
Answer:
52 ft.
Step-by-step explanation:
In this case, we need to calculate a perimeter, which is the sum of all sides of the rectangle.
So, rectangles has opposite sides equal, therefore, the perimeter should be:
; having L as the larger side.
Hence, the strip of wallpaper needs to be as least 52 ft.
Which angle is the included angle for JL and JK help!! please
Answer: angle l
Step-by-step explanation:
Use the division expression 8/12÷9/12.
Answer:
Step-by-step explanation:
Nick has two pet rabbits. He's Flemish giant rabbit weighs 5 times as much as his Holland lop rabbit.
If Nick's Flemish giant rabbit weighs 11 more pounds than he's Holland lop rabbit, how much does his Flemish giant rabbit weigh?
Taking into account the definition of a system of linear equations, the weigh of Flemish giant rabbit is 13.75 pounds.
System of linear equationsA system of linear equations is a set of two or more first degree equations, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, a solution to a system of two or more linear equations is a solution that simultaneously satisfies all the equations in the system
Flemish giant rabbit weighIn this case, a system of linear equations must be proposed taking into account that:
"f" is the Flemish giant rabbit weigh."h" is the Holland lop rabbit weigh.You know:
Flemish giant rabbit weighs 5 times as much as his Holland lop rabbit.Nick's Flemish giant rabbit weighs 11 more pounds than he's Holland lop rabbit.The system of equations to be solved is
f= 5×h
f= h +11
There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, substituting the first equation in the second you get:
5×h= h + 11
Solving:
5×h- h= 11
4×h= 11
h= 11÷ 4
h= 2.75
Substituting this value in the first equation of the system of equations:
f= 5×2.75
f= 13.75
Finally, Flemish giant rabbit weighs 13.75 pounds.
Learn more about system of equations:
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#SPJ1
Which of the ratios below is equivalent to 2:3? Select all that apply.
A) 9:6
B) 10:15
C) 8:12
D) 4:5
E) 20:30
Answer:
Your answers are B, C, and E.
Step-by-step explanation:
They are all equivalent to 2:3.
Figure D is the result of transforming Figure C.
1. What transformation would accomplish this?
What's the equation 3c - 4y =28 on a graph?
Please help! I’ll mark your answer as brainliest. <3
Answer:
The width is: 11
The length is: 2
Step-by-step explanation:
The width is 5 feet longer than 3 times the length so
If the length is 2: 2 x 3 times = 6 plus the five = 11
The area of a rectangle is a = the width x the lenght
So 2 x 11 = 22 that is the area.
Solve. 3/4x + 6 = 33
explain the work please :,)
Answer:
x=36
Step-by-step explanation:
first take six away from both sides to get 3/4x=27
then divide 27 by the numerator 3 to get 9. Then multiply 9 by the denominator 4 to get 36. So 3/4 of 36=27+6=33
3/4x+6=33
We move all terms to the left:
3/4x+6-(33)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
We add all the numbers together, and all the variables
3/4x-27=0
We multiply all the terms by the denominator
-27*4x+3=0
We multiply elements
-108x+3=0
We move all terms containing x to the left, all other terms to the right
-108x=-3
x=-3/-108
x=1/36
I hope this helps :)
how many significant digits are in the number 129,000,000,000 m?
Answer:
3
Step-by-step explanation:
There are 3 because only numbers with values higher than 0 are counted, unless there is a decimal.
Becuase there is no decimal at the end of this number, there are only 3 counted. Those counted are 1 2 and 9, and all of the 0s dont count.
If there was a decimal at the end this number, it would have been 12
Answer:
3
Step-by-step explanation:
1,2,9
If is wrong i'm sorry
CAN SOMEONE PLEASE HELP ME WITH THIS
Answer:
f= −x+3
7x
Step-by-step explanation:
fx = −1 3
x 7 x+ 7
-------------------------
x x
f= -x+3
7x
f= -x+3
7x
Answer:
A.
Step-by-step explanation:
f(x) = (3-x)/7
First we find x in terms of f(x:-.
7f(x) = 3 - x
x + 7f(x) = 3
x = 3 - 7f(x)
Now we replace x by f-1(x) and f(x) by x:
f-1(x) = 3 - 7x.
Find the least common multiple for the pair of numbers. 18,7
Answer:
the lcm is 126
how many eighths are in 1/3?
Answer:
1/3 = 2 2/3 eighths.
Step-by-step explanation:
There are 2(2/3) eights in 1/3.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Eighths = 1/8
Now,
(1/8)x = 1/3
Solve for x.
x = 1/3 x 8/1
x = 8/3
x = 2(2/3)
Thus,
There are 2(2/3) eights in 1/3.
Learn more about expressions here:
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Which expression is equivalent to 6m + (m – 2)(m + 7) + 3?
Answer:
m^2+11m-11.
Step-by-step explanation:
Answer: When x=10 , both expressions have a value of 33. James determined that these two expressions were equivalent expressions using the values of x= 4 and x=6 .Which statements are true? Check all that apply. When x=2, both expressions have a value of 18. The expressions have equivalent values for any value of x.
Step-by-step explanation:
Hope this helps!
Hi- So this is a simple question that I keep forgetting how to answer! HELPPPP
Ok so, The scale factor from Triangle A to Triangle B is 2, so Triangle B is 2 times bigger than Triangle A.
How much bigger is the area of Triangle B than the area of Triangle A?
HELPPPP
Answer:
4 times bigger
Step-by-step explanation:
1. The area of an object dilated by a scale factor (SF) will be equal to (SF)^2.
2. For example, let's say the base and height of Triangle A is 4 and 8. The area would be 16 units squared. The base and height of Triangle B would be 8 and 16. The area would be 64 units squared.
3. As you can see from the aforementioned example, the SF (2) was squared and then multiplied by 16 to get 64.
Therefore, Triangle B's area is 4 times bigger than Triangle A's area.
HELPPP!! NEED QUICK! WILL GIVE BRAINLEST!
3. National Credit Union pays 5.5% interest compounded quarterly
on special notice savings accounts. Marco Garcia deposits
$5,698.80 in a special notice savings account for 2 years.
a. What is the amount in the account after 2 years?
b. At the end of the 2 years, Marco deposits $5,000.00 in
the account. How much is in the account at the end of 2 more
years?
c. What is the total interest earned in the 4 years?
Answer:
5,698,80
Step-by-step explanation:
this is easy if you paid attention in class
Answer:
5,698,80
Step-by-step explanation:
Using easy Math Skillz
Consider the two linear expressions.
−(−12−6x−3) and 3.5−6x
Are the two linear expressions equivalent?
Drag a word or phrase to the box to correctly complete the statement.
Answer:
Your answer is not equivalent :D
Answer: Not Equivelant
Step-by-step explanation: K12 test
Solve for x:
x -20=3
Answer:
x = 23
Step-by-step explanation:
Add 20 to both sides of the equation
x-20=3
−20+20=3+20
Simplify
Solution:
x= 23
Answer:
your answer is twenty three
Peter says, "If you subtract 14 from my number and multiply the difference by -7 , the result is -91 ." What is Peter's number?
Answer:
x = -77
Step-by-step explanation:
based on the given conditions
x - 14 = -91
x = -91 + 14 then calculate the difference between -91 - 14 = -77
thus x which is peters number = -77
Write the null and alternative hypothesis which would pertain to a hypothesis test described in each scenario last year politicians average 2000 trouble hours this year with an election occurring it is expected that they will travel more hours
Considering the situation given, it is found that:
The null hypothesis is [tex]H_0: \mu = 2000[/tex]The alternative hypothesis is: [tex]H_1: \mu > 2000[/tex].At the null hypothesis, we test if they average the same amount of trouble hours as last year, that is, of 2000 trouble hours, thus:
[tex]H_0: \mu = 2000[/tex]
At the alternative hypothesis, we test if this amount has increased, that is:
[tex]H_1: \mu > 2000[/tex]
A similar problem is given at https://brainly.com/question/23531534
Please I need help the question is angle sum theorem
Answer:
x=80, y=55
Step-by-step explanation:
x is on a line so 180-100=80
x= 80
angles of a triangle are 180 so 180-45-80=55
y=55
g(x)=23x+1; find g (-3), g (0),and f (9x+6)
Answer:
x= -1/23
Step-by-step explanation:
Titik P(10,3) dicerminkan terhadap sumbu x dan dilanjutkam terhadap pencerminan pada garis y = x menghasilkan bayangan titik P” yaitu
A. (10,-3)
B. (-3,10)
C. (3,-10)
D. (-10,3)
Answer:
B
Step-by-step explanation:
untuk p'
gerak kebawah dr garisan x sebanyak 3 kotak
p'= (-3,10)
untuk p''
disebabkan y=x
terbalikkan nilai p'
p''=(10,-3)
A car increased price by 3/4. after the increase it was priced at £84 what was the original price???
Answer: I think this is how we do it but i am not sure the answer is 48
Step-by-step explanation:
if the price increase by 3/4 then that mean it total will be 7/4 as 4/4 is it original price add so 7/4=84/x 84x4 is 336 336 divide by 7 is 48 to check 48 x 7/4 or 48 x 3/4 and add 48 if u math is correct than u should get 84
Another one I'm not very good with algebra.
Answer:
A mayb
Step-by-step explanation:
175/ 1/3
=58+17
=75
how many grams of paint are needed to color the rectangular box below, if 5 grams of the paint are needed to color one small cube.
Answer: 210 grams
Step-by-step explanation:
Given,
One cube= 5 grams of paint
According to question,
There are= (9*2)+(6*4) cubes
= 18+24 cubes
=42 cubes
Total paint needed= 5*42 grams
=210 grams(answer)
Divide 28 bottles of water into two groups so the ratio is 3 to 4. Be sure to show your work.
Answer:
12:16
Step-by-step explanation:
28 split into two groups could be 12 : 16. To check the work, see if 3/4 is equal to 12/16. It is, so this is the accurate ratio, as 12 + 16 = 28 and 12/16 = 3:4.
In a walk-a-thon a sponsor will donate $20 and an additional $3 for each mile the participant walks. What is the rate of change in the situation? Fill in your answer in the boxes below.
Answer:
20 + 3x or +3 per mile
Step-by-step explanation: