Given:
In a right angle triangle,
Perpendicular = 8 units
Base = x units
Hypotenuse = 17 units
To find:
The exact value of x.
Solution:
The given triangles is a right angle triangle. So, side lengths form a Pythagorean triplet.
[tex](Hypotenuse)^2=(Base)^2+(Perpendicular)^2[/tex]
[tex](17)^2=(x)^2+(8)^2[/tex]
[tex]289=x^2+64[/tex]
[tex]289-64=x^2[/tex]
[tex]225=x^2[/tex]
Taking square root on both sides.
[tex]\pm \sqrt{225}=x[/tex]
[tex]\pm 15=x[/tex]
Side cannot be negative. So, [tex]x=15[/tex].
Therefore, the required value is [tex]x=15[/tex] and yes, the side lengths form a Pythagorean triplet, i.e., (8,15,17).
Summer (starting from rest) runs from the 20 m mark to the 35 m mark with an acceleration of .5 m/s2. What is her final velocity?
If Summer (starting from rest) runs from the 20 m mark to the 35 m mark with an acceleration of 5 m/s². then 12.25 m/s is the final velocity.
What is Velocity?Velocity is the distance covered by an object in unit time.
Given that,
Summer (starting from rest) runs from the 20 m mark to the 35 m mark with an acceleration of 5 m/s²
a=0.5 m/s²
s is distance=35-20=15
We have a formula with velocity, acceleration and distance
Now v²=2as
Here v is velocity=2
a is acceleration=5
s is the distance.=15
v²=2×5×15
The multiplication value of 2×5×15 is 150.
v²=150
Take square root on both sides
v=√150
v=12.25 m/s
Therefore final velocity is 12.25m/s.
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HELP PLZZZ WILL GIVE BRAINLEAST
Answer:
b,c,d,f
Step-by-step explanation:
[tex]perimeter=2(3\sqrt{8} +4\sqrt{20} +2\sqrt{24} ) \\=2(3\sqrt{8} )+2(4\sqrt{20} +2\sqrt{24} ) \\=6\sqrt{8} +8\sqrt{20} +4\sqrt{24} \\=6.8^{\frac{1}{2} } +8.20^{\frac{1}{2} } +4.24^{\frac{1}{2} } \\or~ =12\sqrt{2} +16\sqrt{5} +8\sqrt{6} \\[/tex]
anyone tryna help -10-3(7-x)
-10-3(7-x)=
answer: -31+3x that's what he gave me I hope I have helped you.
look at this please it would really help
. A flagpole is standing in front of City Hall. Percy, who is standing near the flagpole is 5' tall and casts a shadow 3' long. If the flagpole casts a shadow 36' long, how tall is the flagpole
Answer:
The flagpole is 60'(60 inches) tall
Step-by-step explanation:
A flagpole is standing in front of City Hall. Percy, who is standing near the flagpole is 5' tall and casts a shadow 3' long. If the flagpole casts a shadow 36' long, how tall is the flagpole
The formula is given as:
Height of percy/ Shadow of percy = Height of flagpole/Shadow of flagpole
Height of percy = 5 inches
Shadow of percy = 3 inches
Height of flagpole = ??
Shadow of flagpole =36 inches
= 5/3 = x/36
Cross Multiply
3 × x = 36 × 5
3x = 36 × 5
x = 36 × 5/3
x = 60 inches
Therefore, the flagpole is 60'(60 inches) tall.
Manny took a math test. The test started at 12:53 PM, and ended at 1:23 PM. how long did his test last?
Answer:
Step-by-step explanation:
the test lasted :
23 minutes+7= 30 min
12z;53 =7 min will be 1 pm
If the y-intercept and the x-intercept of a linear function are equal, is the slope 1 ?
Answer:
5
Step-by-step explanation:
The hypotenuse of a triangle is 37 millimeters long. One of the legs is 24.5 millimeters long. What is the measure of the missing leg? Round to the nearest tenth, if necessary.
Answer: 27.7 millimeters
Step-by-step explanation:
Let the missing leg be represented by x.
We will use Pythagoras formula to solve this. The measure of the missing leg will be:
x² = 37² - 24.5²
x² = 1369 - 600.25
x² = 768.75
x = ✓768.75
x = 27.7
The missing leg is 27.7 millimeter
2x + 5 = 13
What is the answer and the steps for this equation
2x + 5 = 13
2x = 13 - 5
2x = 8
*divide both sides by 2*
x = 4
What is the value of cos if the terminal side is the line 3x - 4y = 0, x < 0
4/5
3/5
-4/5
-3/5
Given that f ( x ) = x 2 − 6 x + 8 f(x)=x 2 −6x+8 and g ( x ) = x − 2 g(x)=x−2, find f ( x ) + g ( x ) f(x)+g(x) and express the result in standard form.
Answer:
Step-by-step explanation:
Your problem → f(x) = x^2 - 6x + 8,g(x) = x - 2,find f(x) + g(x)
f(x)=x^2-6x+8
g(x)=x-2
f(x)+g(x)=?
Now f(x)+g(x)
=(x^2-6x+8)+(x-2)
=x^2-6x+8+x-2
= x^2 - 6x + x + 8 -2
=x^2 -5x + 6
I can't change it to standard form but i hope this helps:)
Colin invests £1100 into his bank account. He receives 5% per year simple interest. How much will Colin have after 6 years?
Answer:
£1430
Step-by-step explanation:
Given data
Principal =£1100
Rate= 5%
time = 6 years
The simple interest formula is
A=P(1+rt)
substitute
A=1100(1+0.05*6)
A=1100(1+0.3)
A=1100(1.3)
A=1100*1.3
A=£1430
Hence the balance is £1430
Lala eats three times as many pancakes as her little sister Carmen. If Carmen eats m pancakes, how many pancakes does Lala eat?
Answer:21
Step-by-step explanation:1-63=90
Answer:
21
Hope this helps! :)
Vhat is the value of x in the equation 3x - 2y = 18, when y= 27?
Answer:
x = 24
Step-by-step explanation:
3x - 2y = 18
y = 27
3x - 2(27) = 18
3x - 54 = 18
3x = 72
x = 24
Answer:
x=24
Step-by-step explanation:
3x-2y=18
Put the y value where it belongs...
3x-2(27)=18
3x-54=18 Separate the x
+54 +54
3x=72 Divide
x=24
Caroline works 18 hours a week at a restaurant and earns $8.25 per hour. She also earns tips, which are 15% of her food sales. In one week, she earned $263.25. Write an equation to find x, her total food sales for that week.
Answer:
X
Step-by-step explanation:
Answer:
14.28 and 6.75
Step-by-step explanation:
she earns 14.28 per hour and 6.75 each time.
90 Points! Select the correct answer. (Screenshot attached)
[tex]\\ \rm\Rrightarrow \sqrt[3]{686x^4y^7}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt[3]{343(2)x^4y^7}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt[3]{7^3(2)x^4y^7}[/tex]
[tex]\\ \rm\Rrightarrow 7xy^2\sqrt[3]{2xy^2}[/tex]
Option C
HELP ME PLEASE.......
Answer:
slope is 2.33
Step-by-step explanation:
Does this table represent a proportional relationship?
Yes
No
no
the table does not represent a proportional relationship.
The hospital has found that if a patient is being visited on average at least 8.4 times per day, they can give the same patient care with 3 less nurse visits per day. How many nurse visits per day can the hospital reduce for these 13 patients?
Answer:
6
Step-by-step explanation:
the number of patients that get visted 8.4 times is 1 and another 1 at 8.3 add those up and mutiply by the 3 less nurses visits you get 6
Number of nurse hours the hospital can reduce is 6.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now it is given that,
Number of patients visited on average at least 8.4 times per day = 2 patients
Now for each of the 2 patients the hospital can reduce 3 nurse visits.
Thus,
Number of nurse hours the hospital can reduce = 3 x 2
⇒ Number of nurse hours the hospital can reduce = 6 hours
Thus, Number of nurse hours the hospital can reduce is 6.
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Write the inequality this number line represents.
Answer:
[tex]x\leq 2[/tex]
Step-by-step explanation:
Since the bot is filled in it is going to include [tex]\leq[/tex] or [tex]\geq[/tex]
Since the arrow is pointing to numbers below 2, 2 must be bigger. This is the answer:
[tex]x\leq 2[/tex]
Andie has a goal to complete 70% of the jumps on a skateboard course. If she has completed 30 jumps out of 50
total jumps, how many more jumps does Andie need to complete to reach her goal?
Answer:
50/100 X 70 = 35
Andie needs to do 5 more jumps.
5. (0,0) and (-2,-8) Slope=_ Equation=_
25 members, Each student must pay an entry fee of $7.25 for a helmet fee. the total cost for the roller skate trip is $443.75. What is the entrance fee for one student?
Answer:
I believe the answer is $10.1 each
Step-by-step explanation:
Well if u multiply 7.25 by 25 you get 181.25 so you can subtract that by 443.75 you will get 252.5 after that divide it by 25 and u get 10.1.
I hope it help's
Simplify (2/3)^3 (1/5 *2/3)^-3 (1/5)^4
Answer:
1/5
Step-by-step explanation:
im pretty sure thats it! and have a great day!
Answer:1/5 or 0.2
by-step explanation:
For lawn mowing, Jeremy charges a flat fee of $5 plus $10 per hour. Write an equation for cost and hours of lawn mowing. What is the slope?
Answer:
y = 10x+5
Slope is 10 dollars per hour
Step-by-step explanation:
y = mx+b where m is the slope and b is the y-intercept or flat fee, here.
b = 5
10 per hour means m = 10
f (x) =2x+10 identify the zeros of the function algebraically
Answer:
x= -5
Step-by-step explanation:
if youre looking for the x this is the answer.
Martin is helping his mom set up for a school event. His mom put 150 cups into a box. There are 40 red cups, 60 blue cups, and
50 green cups in the box. He randomly picks 90 cups from the box and sets them out on tables.
How many blue cups is he likely to have set out on tables?
Answer:
C. 36
There are 150 cups total, and 60 blue cups
[tex]150/60=0.4[/tex]
Multiply that by the number of cups he picked up
[tex]0.4*90=36[/tex]
Which point represents 2?
Answer:
The answer is simple
Step-by-step explanation:
The answer is B, on a line graph the order goes from 0, 1, 2, 3 and so on without this order you can't use negative terms without a equation
It's due today pls help me out
Answer: 6(5w+2)
Step-by-step explanation: Factor 30w+12
please help it's due today
Answer:
one pound of meat is $3.89
Step-by-step explanation:
93.36/8=11.67
11.67/3=3.89
Answer:
it is now by this
x^2 by jai ieye play free fire boyahh