Answer:
0, 5
Step-by-step explanation:
The length of the longer leg of a right triangle is 4ft more than twice the length of the shorter leg. The length of the hypotenuse is 6ft more than twice the length of the shorter leg. Find the side lengths of the triangle.
a. Find the length of the shorter side
b. Find the length of the longer side
c. Find the length of the hypotenuse
d. Find the side lengths of the triangle.
Answer: Shorter side = 10 feet
Longer side = 24 feet
Hypotenuse = 26 feet
The side lengths of the triangle are 10ft, 24ft and 26ft.
Step-by-step explanation:
Let the length of the shorter leg be x.
The length of the longer leg of a right triangle is 4ft more than twice the length of the shorter leg. This will be: = 2x + 4
The length of the hypotenuse is 6ft more than twice the length of the shorter leg. This will be: = 2x + 6
Note that the square of the hypothenuse will be equal to the square of the other two sides. This will be:
x² + (2x + 4)² = (2x + 6)²
x² + (2x + 4)(2x + 4) = (2x + 6)(2x + 6)
x² + 4x² + 8x + 8x + 16 = 4x² + 12x + 12x + 36
x² + 4x² + 16x + 16 = 4x² + 24x + 36
5x² + 16x + 16 = 4x² + 24x + 36
Collect like terms
5x² - 4x² + 16x - 24x + 16 - 36 = 0
x² - 8x - 20 = 0
x² - 10x + 2x - 20 = 0
x(x - 10) + 2(x - 10) = 0
Therefore, x - 10 = 0
x = 10
a. length of the shorter side = 10ft
b. Length of the longer side = 2x + 4 = 2(10) + 4 = 20 + 4 = 24ft
c. length of the hypotenuse = 2x + 6 = 2(10) + 6 = 20 + 6 = 26ft
d. The side lengths of the triangle are 10ft, 24ft and 26ft.
Answer:
egg
Step-by-step explanation:
yes
Please help me I’m so close to passing
Answer:
314 meters
Step-by-step explanation:
The circumference of any circle is pi (3.14). To find your answer, Multiply 3.14 with 100 (as in meters) to get 314. Your answer is 314 meters.
Alex has a video game membership that costs $36 per month. Which table shows the sum of the amounts that Alex will pay for his video game membership over the next 4 months?
Answer:
$144 at the end of 4 months
Step-by-step explanation:
$36 x 4 =144
Answer:
It will be $144
Step-by-step explanation:
because you do 36 times 4 and u get $144
1 foot = 12 inches therefore 5 feet = what
Answer:
60 inches
Step-by-step explanation:
1 foot = 12 inches
5 feet = ?
5*12 = 60
[tex]1\cdot \text{foot} = 12\cdot \text{inches} \implies 5 \cdot\text{foot} =5\cdot 12 \cdot\text{inches} \implies 5 \cdot\text{foot} =60 \cdot\text{inches}[/tex]
Two triangles are similar. The smaller triangle has side lengths 10, 20, and 15 units. The larger triangle's longest side is 52 units. What is the perimeter of the larger triangle? first o answer get brainliest
Answer:
117
Step-by-step explanation:
So basically, how I figured it out is 20-15 is 1/4 of 20. So I had to find the 1/4 of 52 which is 13. But 15 is 3/4 of 20 so then you multiply 13 times 3 which is 39.
10 is half of 20. So you find half of 52. Which is 26.
52+39+26 is your equation.
Which adds up to 117. So 117 is your answer
I used 20 because in the smaller triangle 20 was the largest side like 52 in the biggest triangle.
Brainliest would be appreciated
First answer
Have a great day!
According to a survey of workers,2/20 of them walk to work, 1/20 bike, 4/20 carpool,13/20 and alone. What percent of workers walk or bike to work?
Determine which, if any, of the given values is a solution.
8p − 16 = 40
p = 5; p = 7; p = 9
p = ?
Answer:
p – 7 = -12
The answer
P = 7
8p - 16 = 40
40 + 16 = 56
8p = 56
56 ÷ 8 = 7
Determine if the statement is true or false. Any linear system with more variables than equations cannot have a unique solution.
Answer:
True
Step-by-step explanation:
Suppose a system contains a large number of variables than equations, then there is a need to make assumptions of some values for the extra variables in order to solve the system. So, the assigning of these values can be done in several ways. Thus, the system cannot contain a unique solution.
Also, for a system of the linear equation:
[tex]AX = B[/tex] can have a unique solution if:
Augmented matrix(rank) = coefficient matrix(rank) = no. of variables.
Provided that there exist fewer equations and more variables,
Then;
coefficient matrix(rank) < no. of variables
Thus, the system cannot contain a unique solution.
Solve 18 > 12 + 2. Graph the solution.
Answer:
Step-by-step explanation:
7
2
Decimal Form:
3.5
Mixed Number Form:
3
12
2. in a class of 50 students, the number of females is 2 more than 5 times the number of males. How many males and females are there in the class?
Answer:
The number of male students is 8, while the number of female students is 42.
Step-by-step explanation:
To determine the number of male and female students in the class, knowing that in total there are 50 students, and that the number of female students is two more than five times the number of male students, the following equation must be performed:
X + (5X + 2) = 50
6X + 2 = 50
6X = 50 - 2
X = 48/6
X = 8
Thus, the number of male students is 8, while the number of female students is 42.
solve using elimination x+2y=4 -x-y=2
Answer:
x=-8 y=6
Step-by-step explanation:
Add the two equations together. This cancels the x and gets us y=6
Then substitute y in more the first equation which gets us -8
Answer: y = 6 x = -8
Step-by-step explanation:
X+2Y=4
-X-Y=2
(Combine like terms)
Y= 6
(Plug in 6 for y)
X+2(6)=4
X+12=4
X= -8
5 A contractor is laying out the sides of a
rectangular porch. She knows that the porch will
form a rectangle if it can be broken up into two
right triangles, as shown below.
The lengths of the two longer sides of the porch
are 24 feet and the lengths of the two shorter
sides are 17 feet. Enter the length of the diagonal
of the porch in feet, rounded to the nearest tenth.
What is the value of the expression 9 x to the power of 2 minus 12 x plus 4 when x equal 3 ?
A.22
B.49
C.85
D.697
Answer:
22
Step-by-step explanation:
because it just is
2-2(x-25) what is the answer?
Answer:
F= 2
F=-2
F=x-25
Step-by-step explanation:
-12 plus what equals -0.75?
PLZZ HELP THIS IS DUE IN 10 MINS
Answer:
-12 + 0.35
Step-by-step explanation:
i tried XD
Answer:
11.25
Step-by-step explanation:
-12+x= -0.75
+12 +12
x=11.25
-12+11.25= -0.75
connie can type 675 words in 15 mins please help!!
Answer: 45 words per minute.
Step-by-step explanation: I'm not exactly sure what you're asking, but Connie types 45 words per minute (675/15 = 45).
Failure to turn in the assignment on time will result in a loss of 5 points.
a
If you do not turn it in by Monday, January 17, 2021, at 8:00 a.m., you will receive 0 points for the assignment.
4 A store is having a 10% -off sale on all merchandise.
If Mai buys one item and saves $18, what was the original price of her purchase?
Answer:
Step-by-step explanation:
If may buys an item that, after 10% sale, costs 18 dollars
let x be original price
discount is 10%x=0.10 x
x- 0.10x=18
0.90x=18
x=18/0.90=20
x=20
Dan buys a car for £1700.
It depreciates at a rate of 4% per year.
How much will it be worth in 4 years?
Answer:
Step-by-step explanation:
100%-4%=96%
96/100=0.96
£1700*0.96^4=£1443.89
Answer:
1143.89Step-by-step explanation:
I HOPE it's help you
This list shows the number of years that 99 U.S. Supreme Court Justices served.
0
4
6
8
13
15
18
22
26
31
1
4
6
9
13
15
19
23
26
32
1
4
6
9
14
16
19
23
27
33
2
5
7
9
14
16
20
23
28
33
2
5
7
10
14
16
20
23
28
33
2
5
7
10
14
16
20
23
28
34
3
5
7
10
15
17
20
24
29
34
3
5
8
11
15
17
20
24
30
34
3
5
8
13
15
18
21
26
30
36
4
5
8
13
15
18
21
26
31
Miguel is making a frequency table of this data. He decides to group the years in intervals of 5 beginning with 0 to 4, 5 to 9, 10 to 14 and so on. How many intervals will he need all together?
a.
5
c.
7
b.
6
d.
8
Answer:
8
Step-by-step explanation:
0
4
6
8
13
15
18
22
26
31
1
4
6
9
13
15
19
23
26
32
1
4
6
9
14
16
19
23
27
33
2
5
7
9
14
16
20
23
28
33
2
5
7
10
14
16
20
23
28
33
2
5
7
10
14
16
20
23
28
34
3
5
7
10
15
17
20
24
29
34
3
5
8
11
15
17
20
24
30
34
3
5
8
13
15
18
21
26
30
36
4
5
8
13
15
18
21
26
31
a.
5
c.
7
b.
6
d.
8
Answer:
The correct answer is:
Step-by-step explanation:
D.)8
Jack's bank statement shows a debt of $25. Sort the account balances to show which are greater than Jack's debt
and which are less than Jack's debt.
Account balance 530
Greater than Jack's Debt
Less than Jack's Debt
Account balance $30
Account balance: $15
Account balance 310
Account balance 550
Account balance 55
Answer:
It's in the picture below!
HELP PLS! whoever gets it right gets brainliest!!
Answer:
(7, -4)
Step-by-step explanation:
it's the only one remotely close to the line.
A multiplier of 1.641 corresponds to a percentage increase or decrease of what percent?
Answer:
A multiplier of 1.641 corresponds to a percentage increase or decrease of 64.1%.
Step-by-step explanation:
To determine a percentage increase or decrease of a certain number, a calculation consisting of the multiplication of said number by 1 plus the decimals corresponding to the percentage to be increased must be performed. Thus, for example, if you want to increase a number by 50%, you must multiply that number by 1.50. Therefore, if you multiply a number by 1,641, this implies that you are wanting to increase or decrease the initial number by 64.1%.
Pleaseeeeeeee helppp
2) You traveled 210 miles in 3.5 hours.
How many miles will you travel per hour?
Answer:
= 56.7 miles per hour
Step-by-step explanation:
Step-by-step explanation:
To find the average speed for the entire journey, we need to find the entire distance and the total time
Entire distance = 210 miles + 130 miles = 340 miles
Total time = 3.5 hours and 2.5 hours = 6 hours
Average speed = distance/ time = 340 miles/ 6 hours
= 56.66666666666 miles per hour
Rounding to the nearest tenth
= 56.7 miles per hour
Answer:
60 miles
Step-by-step explanation:
Step 1:210=3.5
x =1
Step 2: cross multiply3.5×x= 210×1
3.5x=210
Step 3: divide both sides by the coefficient of x which is 3.53.5x/3.5=210/3.5
x=60
Answer= 60 miles
Can anyone give me any answers for the first 2 in each coloured section please
which expression will have the same value as 3(4x + 9) - 6x for all values of ?
Which of the following is not a function?
The answer is the first choice
Step-by-step explanation:
because the two goes into 4 and 5, in order for it to be a function the x value has to be used once
A 16 ft tall adult giraffe standing next to a
baby giraffe casts a 8 ft shadow. If the
baby giraffe is 6 ft tall, then how long is
its shadow?
Answer:
The shadow is 3 ft tall
Step-by-step explanation:
The older giraffe is 16 ft tall and 8 is half of 16 and 8ft is the length of the shadow so that means that half of the small girafe would be 3ft because half of 6 is 3.
Sorry if its not correct
PLEASE ANSWER ASAP LOOK AT THE PICTURE DUE IN 2 SECONDS !!!!!!!!!!!!!!
WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!
Answer: its b
Step-by-step explanation:
Answer:
Its B
now the other person can get brainest
Does anyone know how to do this, I’m failing math and I need this to boost my grade. Someone help please
Answer:
Step-by-step explanation:
Hey, I'm not sure if I am right, but I hope it can create a spark or something.
8. Find x
10x - 1 = 14x - 37 Combine like terms
+37 +37
10x + 36 = 14x Combine like terms
-10x -10x
36 = 4x Divide to isolate x
36 = 4x
4 4
9 = x
You can also do this method with the others.
PS: I am still not sure if this is the right method, lol. I just really want to help.