Answer:
7.
radius [r]=3in
length of bold part of circle=(360-40°)/360×2πr
=8/9×2×π×3=16.755
8.
we have
x²-2=2-y²
x²+y²=4..........(1)
comparing above equation with
(x-h)²+(y-k)²=r²
we get
centre(h,k}=(0,0)
radius [r]=2 units
There are 30 students in a class. Which equations represent the situation if the number of boys
is b and the number of girls is 7? Select all that apply.
A. b x 30 = 7
B.b = 30- 7
C. b = 30 + 7
D. b +7 =30
E. b x 7 =30
Step-by-step explanation:
A. b x 30 = 7E. b x 7 =30C. b = 30 + 7
Determine if each pair of triangles is congruent. If so, write the congruence
statement and explain how you know the triangles are congruent.
Answer:
top one, yes. by the SSS theorem
bottom one, no. The bases are not congruent
Step-by-step explanation:
Factorise using the sum and product method with all the steps!
British curriculum
No links or websites please !
Answer:
(2x+3)(x-5)
Step-by-step explanation:
Given the expression 2x²-7x-15
Factorize
2x²-10x+3x-15 =0
2x(x-5)+3(x-5)
(2x+3)(x-5)
Hence the factored form of the expression is (2x+3)(x-5)
HI thts way tooo much to answer but ye
Find the sum of the zeros in the following equation:
Y=(2x – 1) (x + 4) (2x– 3) (x– 1)
Three friends ordered personal-sized pizzas for lunch. Lucia ate 2/3 of her pizza, Allie ate 1/4 of her pizza, and Carolina ate 2/5 of her pizza. Which statement correctly compares the amount of pizza that the friends ate?
Answer:
They have atleast two or one left
Represent 0.533 (only the last 3 is bar number) into a rational number
Answer:
[tex]\frac{8}{15}[/tex]
Step-by-step explanation:
We require 2 equations with the repeating 3 placed after the decimal point.
let x = 0.5333.. ( multiply both sides by 10 and 100 )
10x = 5.333... → (1)
100x = 53.333... → (2)
Subtract (1) from (2) tus eliminating the repeating 3
90x = 48 ( divide both sides by 90 )
x = [tex]\frac{48}{90}[/tex] = [tex]\frac{8}{15}[/tex]
Answer:
IT IS 8/15
Step-by-step explanation: Divide and multiply the fraction from 100 to tens
A door is fixed at the point O. Ben opened it by an angle of 30°. The area swept by the door was {25}{12}\pi\
Answer:
5 units
Step-by-step explanation:
Area swept by the floor will be the area ofd a sector
Area of a sector = theta/2π * πr²
We are to find the radius r
Given
Area= 25π/12
theta = 30° = π/6
Substitute
25π/12 = 30/360 * πr²
25π/12 = 1/12 * πr²
25/12 = r²/12
r² = 25
r = √25
r = 5
Hence the radius od the part swept by the door is 5 units
Need help fast!!!
Use the number line to compare the numbers.
Drag and drop the numbers to place them in increasing order.
Answer:
the sequence of numbers starting left to right is: -2 -1.6 -1 -1/6 0 3/7 0.6 1 2
Step-by-step explanation:
Answer:
Ok so -1.6 goes in between -2 and -1. Then -1/6 goes in between -1 and 0. Then 0.6 goes between 0 and 1. And last 3/7 goes between 1 and 2.
Step-by-step explanation:
hope this helps you :)
jodi's car used 12 gallons of gas to travel 456 miles. How many miles did her car travel per gallon of gas?.
Answer:
38 miles
Step-by-step explanation:
456 ÷ 12 = 38
give me brainllest
If you multiply 2 xr you will get the ....?
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
Find the missing side length in the following Pythagorean Triple:
7 - ? - 25
Can anyone help me with this?
Thank you
1. 3,6
2. 5,6
3. 4,5
(branliest will be appreciated and thanks)
What is the probability of flipping a coin 7 times and getting heads 5 times? Round your answer to the nearest tenth of a percent.
Please help...My answer is close but not close enough..
No links :)
Answer:
76
Step-by-step explanation:
(5x3)+(5x3)=30
15-6=9
5x9=45
45+30=75
Since 76 is the closest to 75 it's 76
PLEASE HELP ASAP
Use the angle and protractor shown to answer the question.
What is the measure of angle LMN?
Answer:
Well,for me it's letter C.
WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!
WHAT IS THE AMPLITUDE OF THIS FUNCTION
your answer should be three.
~iwa-chan
please help! ASAP!!!!
Answer:
Part A) 2(n/6) - 9
Part B) the expression would change to 2(n/6) + 9 if it said 'more than'
Step-by-step explanation:
19 1/2 is 3/4 of what number?
Answer:
19.5 = 0.75x
x = 26
I hope this finds you well and have a great day.
David has $520 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
• He buys a new bicycle for $303.93.
• He buys 4 bicycle reflectors for $10.99 each and a pair of bike gloves for $25.25.
• He plans to spend some or all of the money he has left to buy new biking outfits
for $73.43 each.
Write and solve an inequality which can be used to determine x, the number of
outfits David can purchase while staying within his budget.
Step-by-step explanation:
after he buys everything he has 170.83 ( total 340.17) 73.43 times x
Find the measure of arc FV
Answer:
FV = 60
Step-by-step explanation:
VG => 65 × 2 = 130
FH major arc=> 119 × 2 = 238
FH major arc - GH = FG
FG => 238 - 168 = 70
VG - FG major arc = FV
FV => 130 - 70 = 60
Answer:
60 degrees
Step-by-step explanation:
The measure of an inscirbed angle is half the measure of the intercepted arc.
(The measure of the arc is twice the measure of the angle!)
The inscribed angle at V intercepts an arc of 2 x 119 = 238 degrees, so the measure of arc FGH is 238. Subtract arc GH from that, 238 - 168 = 70, so that is the measure of arc FG.
The angle at H intercepts an arc with measure 2 x 65 = 130. The measure of arc VFG is 130. But arc FG is part of that, so subtract its measure from 130. 130 - 70 = 60.
The measure of arc FV is 60 degrees.
who can help me? Pleaseee
Answer:
x = 6
Step-by-step explanation:
2x + 29 = 9x - 13
29 = 7x - 13
42 = 7x
6 = x
PLEASE HELP! I WILL MARK BRAINLIEST AND IM GIVING OUT AS MANY POINTS AS I CAN!!
Answer: Answer to 13 is 16 as it is 81+ days. Answer 14 is 16/50 which is 32 percent The median on 15 is the 6th value and the minimum value is the smallest number in the sequence provided. The lower quartile is the 3rd number in the sequence but you need to put them from smallest to largest. The upper quartile is the 9th number in the sequence. The maximum value is the biggest number in the sequence
Step-by-step explanation:
What number must you add to complete the square?
X2 + 12x = 40
x2
o
A. 36
B. 20
(
C. 6
O
O
D. 5
х
Answer:
36
Step-by-step explanation:
x^2 + 12 x = 40
To complete the square, take the coefficient of the x term
12
Divide by 2
12/2 = 6
Square it
6^2 = 36
Add 36 to each side
Solve for x.
One side = 10
Another side = 9
One side = x
(It's a right triangle.)
Answer:
x = 4.3588989435406
I hope it's helps you
What does r equal A B C or D
Answer:
b i think
Step-by-step explanation:
Cual es la potencia de base 3 que corresponde al producto 3 elevado a 3,3elevao a menos 2y 9 elevado a menos
What is the equation of the line?
Answer:
y = 4
Step-by-step explanation:
The sum of two numbers is 52 and the difference is 16. What are the numbers?
Answer:
18
Step-by-step explanatio:a 52 le quitas la diferencia de 16 y da 36 que lo divides entre 2 y es 18 por lo que 18+18=36+16=52
Step-by-step explanation:
[tex]here \: is \: your \: solution \\ \\ let \: the \: first \: number \: be \: x \\ \\ let \: the \: second \: number \: be \: y \\ \\ now \: according \: to \: question \\ \\ x + y = 52 \\ \\ and \: x - y = 16 \\ \\ now \: add \: both \: equation \\ \\ we \: will \: get \: \\ \\ 2x = 68 \\ \\ x = 68 \div 2 \\ \\ x = 34 \\ \\ now \: put \: the \: value \: of \: x \: in \: equation \\ \\ 34 + y = 52 \\ \\ y = 52 - 34 \\ \\ y = 18 \\ \\ x = 34 \: and \: y = 18 \\ \\ hope \: it \: helps[/tex]
Container A has 200 Liters of water, and is being filled at a rate of 6 liter per minute. Container B has 500 Liters of water, and is being drained at a rate of 6 liters per minute. How many minutes will it take for both containers to have the same amount of water.
Answer:
25 minutes
Step-by-step explanation:
let x represent total time when both containers to have the same amount of water.
the equation to represent container A = 200 + 6x
the equation to represent container B = 500 - 6x
Because both containers would have the same amount of water, the two equations would be equal to each other
200 + 6x = 500 - 6x
collect like terms
12x = 300
x = 300/12
x = 25 minutes
An engineer is designing a fountain that shoots out drops of water. The nozzle from which the water is launched is 3 meters above the ground. It shoots out a drop of water at a vertical velocity of 14 meters per second. Function h models the height in meters, h, of a drop of water t seconds after it is shot out from the nozzle. The function is defined by the equation h(t)=−5t2+14t+3. How many seconds until the drop of water hits the ground?
Answer:
After 3 seconds
Step-by-step explanation:
Given
[tex]h(t) = -5t^2 + 14t + 3[/tex]
Required
Time the drop will hit the ground
When the drop hits the ground,
[tex]h(t) = 0[/tex]
So, we have:
[tex]0 = -5t^2 + 14t + 3[/tex]
Rewrite as:
[tex]5t^2 - 14t - 3 = 0[/tex]
Expand
[tex]5t^2 + t - 15t - 3 = 0[/tex]
Factorize
[tex]t(5t + 1) -3(5t + 1) = 0[/tex]
Factor out 5t + 1
[tex](t -3)(5t + 1) = 0[/tex]
Split
[tex]t -3 = 0[/tex] or [tex]5t + 1 = 0[/tex]
Solve for t
[tex]t = 3[/tex] or [tex]5t = -1[/tex]
Time cannot be negative.
So:
[tex]t = 3[/tex]