Here,
a+b=20
ab=50
we know that,
[tex]\tt{ (a+b)^2=a^2+b^2+2ab }[/tex] ⠀
According to the question,
[tex]\tt{(20)^2=a^2+b^2+2×50 }[/tex] ⠀
[tex]\tt{ 400=a^2+b^2+100 }[/tex] ⠀
[tex]\tt{ a^2+b^2=400-100 }[/tex] ⠀
[tex]\tt{a^2+b^2=300 }[/tex] ⠀
Answer:
a² + b² = 300
Step-by-step explanation:
a + b = 20 ; ab = 50
(a +b)² = a²+ b² + 2ab
a² + b² + 2ab = (a + b)²
a² + b² + 2*50 = (20)²
a² + b² + 100 = 400
a² + b² = 400 - 100
a² + b² = 300
Explain why the two figures below are similar?
Answer:
6ix9ine
Step-by-step explanation:
Find mZXYV in the figure below.
A. 65°
(3x + 23)
(7x - 37°
B. 68°
C. 112°
D. 115°
Answer:
112
Step-by-step explanation:
just believe me lol I wrote it out and did the math I have a 100% in my class
The diagram shows a triangle
Show working out plz:)
Answer:
30cm^2
Step-by-step explanation:
Evaluate. Round your answer to the nearest thousandth.
log4 ^21
[tex]\log_4 21 = \dfrac{1}{2}\cdot \log_2 21 = \dfrac{1}{2}\cdot \left(\log_23+\log_2 7\right) \approx \dfrac{1}{2}\cdot\left(1.584+2.807\right) \approx 2.196[/tex]
The volume of a cube is related to the area of a face by the formula V = A^3/2What is the volume of a cube whose face has an area of 100 cm??
helppp!!
Answer:
[tex]\huge\boxed{1000 \ \text{cm}^3}[/tex]
Step-by-step explanation:
There are two ways we can solve this equation.
A) Using the formula providedThe formula provided states that the volume of a cube based on the area of one of it's faces will be [tex]a^{\frac{3}{2}}[/tex], a the area of one face. Since we know the area of one face, we can substitute that inside the equation.
[tex]100^{\frac{3}{2}}[/tex]
It's important to note that when we have a number to a fraction power, it's the same as taking the denominator root of the base to the numerator power.
So - [tex]100^{\frac{3}{2}}[/tex] becomes [tex]\sqrt{100^3}[/tex]
[tex]100^3=1000000[/tex] [tex]\sqrt{1000000}=1000[/tex]Therefore, the volume of this cube will be [tex]1000 \ \text{cm}^3[/tex]
B) Using prior knowledge about cubesWe can additionally use prior knowledge to find the volume of this cube.
We know that the area of a square will be [tex]s^2[/tex], where s is the length of a side. We also know the formula to find the volume of a cube from it's side length is [tex]s^3[/tex].
Since we know that one face is 100, we can make an equation - [tex]s^2=100[/tex]
[tex]\sqrt{s^2}=\sqrt{100}[/tex] [tex]s=10[/tex]Now that we know the value of s, we can plug it into the volume formula, [tex]s^3[/tex].
[tex]10^3[/tex] [tex]10 \cdot 10 \cdot 10[/tex] [tex]1000[/tex]So the volume is [tex]1000 \ \text{cm}^3[/tex].
Hope this helped!
If you eat 6 grapes per minute for 9 minutes, how many grapes will you eat?
Answer:
54 grapes
Step-by-step explanation:
6*9=54
A manufacturing process makes rods that vary slightly in length but follow a normal distribution with mean length 25 cm and standard deviation 2.60. What is the probability of randomly selecting a rod that is shorter than 22 cm
Answer:
The probability of randomly selecting a rod that is shorter than 22 cm
P(X<22) = 0.1251
Step-by-step explanation:
Step(i):-
Given mean of the Population = 25cm
Given standard deviation of the Population = 2.60
Let 'x' be the random variable in normal distribution
Given x=22
[tex]Z = \frac{x-mean }{S.D} = \frac{22-25}{2.60} = -1.15[/tex]
Step(ii):-
The probability of randomly selecting a rod that is shorter than 22 cm
P(X<22) = P( Z<-1.15)
= 1-P(Z>1.15)
= 1-( 0.5+A(1.15)
= 0.5 - A(1.15)
= 0.5 - 0.3749
= 0.1251
The probability of randomly selecting a rod that is shorter than 22 cm
P(X<22) = 0.1251
what would w equal?
Answer:
120
Step-by-step explanation:
It's NOT 100.
similar shapes have the same angles
so angle "D" is equal to angle "G"
Over what interval(s) is the function strictly linear? Look at the picture. Don't Answer If You Don't Know What The Answer Is Please. Will Mark Brainliest.
Answer:
The answer is given by option c.
Step-by-step explanation:
Linear function:
The graphic of a linear function is a straight line.
In this question:
We have a straight line for x between -2 and 0, so in this interval the function is linear.
For x between 0 and 2, the function is a curved line, so not linear in this interval.
We also have a straight line for x between 2 and 4, so in this interval the function is linear.
So it is linear in the following intervals: -2 < x < 0, 2 < x < 4, so the answer is given by option c.
(82 + 2) 3 - 17 PLEASE ANSWER
Answer:
235
Step-by-step explanation:
Answer:
235
Step-by-step explanation:
This is a simple question for a calculator (although if you were doing it without, just do the parentheses first, multiply by the three, then subtract by 17. Hope this helps!
some PLEASE help I need it done in 18 minutes
Answer:
area: 9
perimeter: 12
Step-by-step explanation:
Answer:
i gotchu
u=4a (equation for perimiter)
u=12
perimeter is 12
a=a2 (equation for area)
a=9
area is 9
:)
how to write 28 divided by 7 as an expression
Answer:
28/7
Step-by-step explanation:
Sunni is riding a raft down a stream that is moving at a rate of 75 feet per minute how far downstream does she travel in 5 minute
Answer:
750 or 325 feet
Step-by-step explanation:
expression px2. p=3,×=4
Answer:
px^2= (3)4= 12^2= 144
Step-by-step explanation:
Jarad scored 18 points at a basketball game if the final score 60 points what percentage of the final score was jarad
Answer:
30%
Step-by-step explanation:
The red crewmate is dilated with the origin as the center of dilation to create the new red crewmate. Which rule best represents the dilation that has been applied to the red crewmate?
Answer:
Step-by-step explanation:
ELE HOME 19. Which expression is equivalent to (7 x m) + 5? O A7(m + 5) O B7 + 5m O C 5+ (m x 7) O D 5- (7 x m)
Answer:
?
Step-by-step explanation:
7 x 8 x 3 =_ x 3 = _+_+_+_=
Answer:
7 x 8 x 3 = 56 x 3 = 56 + 56 +56 = 168
Step-by-step explanation:
Which relations are functions?
A
x
y
-2
-4
-2 -6
0
-8
2
-10
B
x
y
0
4
10 5
20
6
10
7
C
x
y
2
-10
1 -20
0
-10
-1
-20
D
x
y
2.5
0
3.5 4
4.5
8
6.5
12
E
x
y
-10
4
-20 5
0
6
-10
7
Answer:
A. Relation
B. Relation
C. Function
D. Function
E. Relation
Oscar Montez’s savings account has a principal of $7,201. It earns 6% interest compounded month. What is the amount in the account at the end of the second month?
Answer:
I= P+ I= 7201x6x2/100 = 84,252/100 = $842.52
Find the value of 9x + 4y, when x = 4 and y=-3.
Answer:
the answer for this question is 24
Plz HELP I NEED THIS ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!
A rugby team had 45 players show up for tryouts last year. This year 60 players came to tryouts. What was the percent increase in the number of players that showed up this year compared to last year?
Answer:
33%
Step-by-step explanation:
60-45=15
15/45=0.33
0.33x100=33%
Which statement is true. All rhombuses are similar. B all rectangles are similar l. C all isosceles trapezoid are similar. D all isosceles right triangles are similar
Answer:
I think the answer is "All rhombuses are similar."
Step-by-step explanation:
I need help plz help thy.
First answer get brainiest
Hello!
[tex]\large\boxed{2x - 8 = 7 - 3x \text{ and } 4(x - 1) = x + 5}[/tex]
We can go through each equation to solve:
1.
x + 3 = 4(x - 1) + 2
Distribute the coefficient outside of the parenthesis:
x + 3 = 4(x) + 4(-1) + 2
Simplify:
x + 3 = 4x - 4 + 2
x + 3 = 4x - 2
Subtract x from both sides:
3 = 3x - 2
Add 2 to both sides:
5 = 3x
Divide both sides by 3:
5/3 = x. This is not the answer.
2.
2x - 8 = 7 - 3x
Add 3x to both sides:
5x - 8 = 7
Add 8 to both sides:
5x = 15
Divide both sides by 5:
5x/5 = 15/5
x = 3. This is an answer.
3.
3(x + 2) = 14 - x
Distribute:
3(x) + 3(2) = 14 - x
3x + 6 = 14 - x
Add x to both sides:
4x + 6 = 14
Subtract 6 from both sides:
4x = 8
Divide both sides by 4:
4x/4 = 8/4
x = 2. This is not an answer.
4.
4(x - 1) = x + 5
Distribute:
4x - 4 = x + 5
Subtract x from both sides:
3x - 4 = 5
Add 4 to both sides:
3x = 9
Divide both sides by 3:
3x/3 = 9/3
x = 3. This is an answer.
5.
5 - 2(x + 1) = x
Distribute:
5 - 2x - 2 = x
Simplify:
3 - 2x = x
Add 2x to both sides:
3 = 3x
Divide both sides by 3:
3/3 = 3x/3
x = 1. This is not an answer.
6.
6(x - 4) = 2x
Distribute:
6x - 24 = 2x
Subtract 6x from both sides:
-24 = -4x
Divide both sides by -4:
-24/(-4) = -4x/(-4)
x = 6. This is not an answer.
Answer:
2x - 8 = 7 - 3x
4(x -1) = x + 5
Step-by-step explanation:
2) 2x - 8 = 7 - 3x
2x + 3x - 8 = 7
5x - 8 = 7
5x = 7 + 8
5x = 15
x = 15/5
x = 3
4) 4(x -1) = x + 5
4x - 4 = x + 5
4x - 4 - x = 5
3x - 4 = 5
3x = 5 + 4
3x = 9
x = 9/3
x = 3
help I need help pleaseee
Answer:
The perimeter of a rectangle is the sum of twice the length and twice the width. If the perimeter is at least 48 cm, then the minimum perimeter is 48 cm.
Let width = x
Let length = x + 4
Perimeter = 48
We can set an inequality for perimeter using the variables.
2x + 2(x + 4) ≥ 48
Solve for x.
2x + 2x + 8 ≥ 48
4x + 8 ≥ 48
4x ≥ 40
x ≥ 10
Substitute this value of x into the variable to get your width and length.
width = 10 cm
length = 14 cm
Step-by-step explanation:
hope it helps
Answer plzzzzzzzzzzzzHere's a graph of a linear function. Write the equation that describes that function. Express it in slope-intercept form. Enter the correct answer.
Lin's family has traveled 25 miles which is only 20% of the trip.
How far is the whole trip?
a.
5 miles
c. 100 miles
b.
125 miles
d. 250 miles
Please hurry
Answer: 125 miles
Step-by-step explanation:
We know that 25 miles is 20% of the trip.
20% is 1/5 of 100, so that means we will multiply the number of miles driven by the denominator of the fraction.
25 × 5 = 125 miles
The answer to the question is 125 miles.
PLEASE PLEASE HELP PLEASE
Answer:
x = -3
Step-by-step explanation:
2(4x + 6) = 8x + 12
3(x - 1) = 3x -3
8x + 12 = 3x - 3
5x = -15
x = -3
Answer:
x=-3
Step-by-step explanation:
2(4x+6)=3(x-1)
8x+12=3(x-1)
8x-3x+12= -3
8x-3x=-3-12
5x=-3-12
5x=-15
x=-3
Hello, can you answer this for me
Steve's moms age is 7 years less than 3 times Steve's age. The sum of their ages is 65 years. Find their ages.
Answer:
Steve is 18 and and his mother is 47.
Step-by-step explanation:
if you add those numbers you'll get 65
*HELP I will mark brainliest*
A dog is tied with a rope to a stake in the ground. The length of the rope is 10 yards.
What is the area, in square yards, in which the dog can roam?
1) 1001
2) 100x yd.2
3) 100 yd.2
4) 20ryd.
Answer:
i think it is number 1
Step-by-step explanation: