The value of x in terms of l is.
[tex]x=\sqrt{5l^{2} }[/tex]
What is Pythagoras Theorem?A fundamental relationship in Euclidean geometry between a right triangle's three sides is known as the Pythagorean theorem, or Pythagoras' theorem. The area of the square whose side is the hypotenuse is said to be equal to the total of the areas of the squares on the other two sides.
given data:length = [tex]l[/tex]
width= [tex]2l[/tex]
diagonal = [tex]x[/tex]
We would get a right angle triangle if we were to cut a part across the diagonal. The Pythagoras Theorem can be used to solve the right angle triangle.
[tex]x^{2} =a^{2} +b^{2}[/tex]
using this formula substituting the value:
[tex]x^{2} =l^{2} +2l^{2}[/tex]
[tex]x^{2} =l^{2} +4l^{2} \\x^{2} =5l^{2} \\x=\sqrt{5l^{2}} \\[/tex]
from the above calculation we have:
[tex]x=\sqrt{5l^{2} }[/tex]
To know more about Pythagoras Theorem visit:
https://brainly.com/question/26270327
#SPJ4
The rectangular floor of a classroom is 40 feet in length and 24 feet in width. A scale drawing of the floor has a length of 20 inches. What is the perimeter, in inches, of the floor in the scale drawing?
Answer:
Perimeter = 64 inches
Step-by-step explanation:
40':20" = 1':1/2"
24' =12"
20+20+12+12 = 64 inches
Name the like terms
5a, 3, 4d , 2a, 2a, 5c
Answer:
"Like terms" are terms whose variables (and their exponents such as the 2 in x2) are the same. In other words, terms that are "like" each other. Note: the coefficients (the numbers you multiply by, such as "5" in 5x) can be different.
Step-by-step explanation: Hope this helps
Johnny works after school and earns $8 per hour. He needs at least $2000 to purchase a car so he does not need to take the bus. How many hours does he need to work to reach his goal?
2hours
Step-by-step explanation:
2 hours
If $18\sqrt 8-8\sqrt{18}=\sqrt n, what is n?
Answer:
288 trust me it is 100% right I tried it as an answer an got it right.
Step-by-step explanation:
Answer:
288
Step-by-step explanation:
From the first two parts of the problem, we have
18√8 - 8√18 = 36√2 - 24√2
= (36 - 24)√2
= 12√2.
Thus, we wish to solve for n in the equation 12√2 = √n. In other words, we want to know what number 12√2 is the square root of. Any nonnegative number is the square root of its own square, so
n = (12√2)²
= 12²(√2)²
= 144 ∙ 2
= 288.
What is the area of the triangles? The problems are in the picture below. 15 points and a brainiest.
Answer:
first: 8 in^2
second: 77 yd^2
third: 225 in^2 (assuming that the larger triangle base =50 in (25 x 2)
Step-by-step explanation:
area = 1/2 x base x height
first:
1/2 x 4 x 4 = 8 in^2
second:
1/2 x 14 x 11 = 77 yd^2
third:
(1/2 x 50 x 18) - ( 1/2 x 18 x 25) = 450 - 225 = 225 in^2
I don't know I need help.
Which of the following numbers can be expressed as repeating decimals?
3 over 7, 2 over 5, 3 over 4, 2 over 9
2 over 9 and 3 over 4
3 over 7 and 2 over 5
2 over 5 and 3 over 4
3 over 7 and 2 over 9
Answer:
2/9 = 0.2 repeating
3/7 = 0.428571 repeating
Step-by-step explanation:
how do you solve 0.4m(40m-20n)
Answer:
= 16m2o−8mno
Step-by-step explanation:
Determine how many lines of symmetry each object has
A one year member ship to your local gym costs $539. there is an initial fee of $35. write an equation tou can use to fund out how much you pay per month
Triangle WXY is similar to triangle RST.
AA.
Which transformations could transform triangle WXY into triangle RST to show that they are similar?
Reflect across line PQ, then dilate with a scale factor greater than 1.
Reflect across line PQ, then dilate with a scale factor greater than 0 and less than 1.
Rotate 90 degrees counterclockwise about point P, then dilate with a scale factor greater than 1.
Rotate 180 degrees clockwise about point P, then dilate with a scale factor greater than 0 and less than 1.
Answer:
Reflect across the line PQ, then dilate with a scale factor greater than zero in less than one
Step-by-step explanation:
Answer:
Reflect across line PQ, then dilate with a scale factor greater than 0 and less than 1.
B
Step-by-step explanation:
I need help on this pleasee
Answer:
slope is 6/0 which is undefined
Step-by-step explanation:
Four friends go out to lunch together. Mike orders a personal pizza with 2 toppings for $7.00. Dustin orders a personal pizza with 5 toppings for $9.25. Lucas orders a calzone with 1 topping for $5.75. Will orders a calzone with 4 toppings for $8.75. For what number of toppings is the price of a personal pizza the same as a calzone?
Answer:
Step-by-step explanation:
Four friends go out to lunch together.
For what number of toppings is the price of a personal pizza the same as a calzone?
Let us represent the number of toppings as x
We need to know the price of a personal pizza and the price of a calzone
Mike orders a personal pizza with 2 toppings for $7.00.
2x = $7
x = $7/2
x = $3.50
Dustin orders a personal pizza with 5 toppings for $9.25.
5x = $9.25
x = $9.25/5
x = $1.85
Lucas orders a calzone with 1 topping for $5.75.
x = $5.75
Will orders a calzone with 4 toppings for $8.75.
4x = 8.75
x = 8.75/4
x =2.1875
3x(2ab - b) - 2y(2a - b)
please i need help!!
Answer:
6abx-3bx-4ay+2by
Step-by-step explanation:
Answer:
The answer is 6xab - 3xb - 4ya + 2yb
Step-by-step explanation:
Factor the polynomial.
~Hoped this helped~
Find a slope of each line (each block is one unit):
Answer:
The slope is -3
Step-by-step explanation:
We have two points
( -1,2) and (1,-4)
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -4 -2)/ ( 1 - -1)
= ( -4-2)/ (1+1)
= -6/2
= -3
make m the subject of the formula in 3-mx/2+2y=p/q
It means we want to isolate m so...
mx/2+2y=p/q
mx/2=p/q-2y
mx=2p/q-4y
m=(2p/q-4y)/x
Hope this helped if you have any more questions ask it in questions.
Evaluate expression: 3(5g + 5 - 2)
Answer: 15g + 9
Step-by-step explanation: Have a brilliant day!- Lily ^_^ Plz mark brainliest.
i dont understand this
Find the slope of the linear function
y=5/4x-9
Answer:
[tex]\frac{5}{4} x[/tex]
Step-by-step explanation:
y = mx+ b
m = slope
b = y-intercept
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the straight lines.
The equation of a straight line is given as,
y = mx+c, hence here, m = slope, c = y-intercept..
so, y = 5/4x-9
.m = 5/4
so the slope is 5/4
To create a model of an artery, a health teacher uses the scale 2.5 cm : 0.75 mm. If the diameter of the artery is 2.7 mm, what is the diameter on the model?
a
9 m
b
90 cm
c
18 cm
d
9 cm
Answer: 9 cm
Step-by-step explanation:
I took the test
Please help me, I am unsure how to do this
Answer:
-1/4
Step-by-step explanation:
Simplify (6ab3c)(-abc2).
6b 2c
-6a 2b 4c 3
-6ab 3c 2
Answer: The simplified version of (6ab3c)(-abc2) is -12a^2 b^4 c^2
Step-by-step explanation:
Answer:
−6a^2b^4c^3
Step-by-step explanation:
Find the highest common factor of 35 and 8C.
Answer:
Factors of 35 = 1, 5, 7 and 35
Factors of 8= 1, 2, 4, 8.
common = 1
Question:
What are the solutions to 3x^2 + 12x + 6 = 0?
Hint::
use the quadratic formula
Answer:
x₁ = - 2 + √2 , x₂ = - 2 - √2Step-by-step explanation:
[tex]3x^2 + 12x + 6 = 0\\\\a=3\,,\ b=12\,,\ c=6\\\\\\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\ x=\dfrac{-12\pm\sqrt{12^2-4\cdot3\cdot6}}{2\cdot3}=\dfrac{-12\pm\sqrt{144-72}}{2\cdot3}=\dfrac{-12\pm\sqrt{72}}{2\cdot3}=\dfrac{-12\pm6\sqrt{2}}{6}\\\\x_1=\dfrac{6(-2+\sqrt{2})}{6}=-2+\sqrt2\\\\x_2=\dfrac{6(-2-\sqrt{2})}{6}=-2-\sqrt2[/tex]
Please help
The figure
pentagonal prism
hope it helps you
Answer:
the last one
Step-by-step explanation:
because they are given their names based on their bases
solve the system of equations
3x-3y=4
-3x+3y=3
Answer:
x=y+2/3
Step-by-step explanation:
Help me with the area of the following triangle??? 25 POINTS question
-13/2x+1 is the answer which the area
How to find it simple:
Do 1/2*3x-4
then use that answer and multiple it with the height which is 2x+1 and you get the answer.
With explanation please help
Answer:
first you simplify the first part which will be
(15)^2-(18+9)*(6)
225-27*6
225-162
Answer will be 63
I showed my work :)
What is the reciprocal of 3 2/3
Answer:
the answer is 5
Step-by-step explanation:
Answer:
0.27272727272 is the reciproval of 3 2/3
Circles A, B, and C overlap. x is in the overlap of circles A and B. Which of the following are true about x? Check all that apply. x ∉ A x ∈ B x ∉ C x ∈ A ⋃ B x ∈ A ⋃ C x ∈ A ⋂ B
9514 1404 393
Answer:
b, c, d, e, f
Step-by-step explanation:
x ∉ A . . . . . not true, x is in A
x ∈ B . . . true
x ∉ C . . . true (x is outside the circle labeled C)
x ∈ A ⋃ B . . . true
x ∈ A ⋃ C . . . true
x ∈ A ⋂ B . . . true (x is in the overlap)
Answer:
A is false, every thing else is correct so b,c,d,e,f is your answer
Step-by-step explanation:
have a good day
Cand someone please help me with this assignment!!!
Answer:
1. 3
2. 4
3. 2
4. 1
5. 1
7. 3
8. 10?
thats all i know because thats my answers hope it helps
Please do number 3___________________
9514 1404 393
Answer:
m∠SVW = 80°
Step-by-step explanation:
3. The sum of same-side interior angles SVW (4x°) and VWT (5x°) is 180°. This can be used to solve for x and to find the angle values.
4x + 5x = 180
9x = 180 . . . . . . . . collect terms
x = 20 . . . . . . . . . . divide by 9
m∠SVW = 4x° = 4(20)°
m∠SVW = 80°
_____
4. Then m∠VWT = 180° -80° = 100° = 5x°.
__
5. Consecutive interior angles are supplementary. ("Same-side" and "consecutive" are used interchangeably in this context.)