Answer:
1)Area; A = ¼πr²
Perimeter; P = πr/2 + 2r
2)A = 19.63 cm²
P = 17.85 cm
3) r = 8.885 cm
4) r = 14 cm
Step-by-step explanation:
This is a quadrant of a circle. Thus;
Area of a circle is πr². A quadrant is a quarter of a circle. Thus;
Formula for Quadrant Area is; A = ¼πr²
A) Perimeter of a circle is 2πr. Thus, perimeter of a quadrant is a quarter of the full circle perimeter.
Formula for the quadrant perimeter in the image given is;
P = 2πr/4 + 2r
P = πr/2 + 2r
B) When r is 5 cm;
A = ¼π(5)²
A = 19.63 cm²
P = π(5)/2 + 2(5)
P = 17.85 cm
C) when A is 100cm²:
¼πr² = 100
r² = 100 × 4/π
r² = 78.9358
r = √78.9358
r = 8.885 cm
D) when P = 50 cm.
50 = πr/2 + 2r
50 = (½π + 2)r
r = 50/(½π + 2)
r = 14 cm
For homework, a teacher instructs her students to choose a county in their state for a social
studies project. Since they live in a small state, repeats are allowed.
Are these two events dependent or independent?
Answer:
they are dependent
Step-by-step explanation:
What expression is equivalent to 11x-6x+x
Answer:
6 x
Step-by-step explanation:
The picture below has the steps
Michael needs to memorize words on a vocabulary list for German class. He has 12 words to memorize,and he is one-fourth done. How many words has Michael memorized so far?
Answer:
3
Step-by-step explanation:
12 divided by 4 equals 3
Hope this helped!! :)
Brainliest?!?!
help pls, i’ll mark as brainliest if correct
Answer: -11/12
Step-by-step explanation:
Can someone tell me what the slope is ?
Answer:
-5/4
Step-by-step explanation:
rise/run = -5/4
hope this helps <3
Answer:
-5/4
calculator lol (and rise over one)
PLEASE ANSWER THIS! THANKS! :D
Answer:
38 euros
Step-by-step explanation:
ok, so,
you know that
£3 is equal to 4 euros
this means that 0.75 pound is equal to 1 euro
28.50/0.75=38
do 38 times 1, which means that it is 38 euros
please mark me as brainliest!!!<3
-5x+35=40
It's 2-step-equations btw :)
Answer:
x = - 1
Step-by-step explanation:
Given
- 5x + 35 = 40 ( subtract 35 from both sides )
- 5x = 5 ( divide both sides by - 5 )
x = - 1
What is 60 percent of 20
Answer:
The answer is 12. Hope this helped :-)
Step-by-step explanation:
60% of 20
6.2=12
What is the solution to this inequality?
42.06 = 21.33 + 3x
Answer:
x = 6.91 hope this helps pls lmk
You have a goal to save $250. You have saved $160? What percent of your goal have you reached?
30pts PLEASE HELP I WILL GIVE BRAINLIEST TO RIGHT ANSWER
The distance of a golf ball from the hole can be represented by the right side of a parabola
with vertex (-1,8). The ball reaches the hole 1 second after it is hit, at time 0.
What is the equation of the parabola, in vertex form, that represents the ball's distance
from the hole, y, at time x?
Let's suppose that the hole is at y = 0m, where x is the time variable.
we know that:
The vertex is (-1s, 8m).
(i suppose x in seconds and y in meters)
At x = 1s, the ball reaches the hole, so we also have the point:
(1s, 0m).
Remember that the vertex of a quadratic equation y = a*x^2 + b*x + c is at:
x = -b/2a,
then we have:
-1 = -b/2a.
Then we have tree equations:
8m = a*(-1s)^2 + b*-1s + c
0m = a*(1s)^2 + b*1s + c
-1s = -b/2a.
First we should isolate one variable in the third equation, and then replace it in one of the other two:
1s*2a = b.
So we can replace b in the first two equations bi 1s*2a.
8m = a*1s^2 - 1s*2a*1s + c
0m = a*1s^2 + 1s*2a*1s + c
We can simplify both equations and get:
8m = a*( 1s^2 - 2s^2) + c = -a*1s^2 + c.
0m = a*(1s^2 + 2s^2) + c = a*3s^2 + c.
Easily we can isolate c in the second equation and then replace it into the first equation:
c = -a*3s^2
The first equation becomes:
8m = -a*1s^2 - a*3s^2 = -a*4s^2
a = 8m/-4s^2 = -2m/s^2.
Now with a, we can find the values of c and b.
c = -a*3s^2 = -(-2m/s^2)*3s^2 = 6m.
b = 1s*2a = 1s*(-2m/s^2) = -2m/s.
Then the equation is:
y = (-2m/s^2)*t^2 + (-2m/s)*t + 6m
 what number when added to 1 1/3 gives 2
Which two numbers multiply to 20 and add to 9
Answer: 5x4=20
And 5+4=9
Step-by-step explanation:
The required two numbers are 4 and 5.
What is equation?"It is a statement which consists of equal symbol between two mathematical expressions."
For given example,
We need to find two number such that if multiply then we get 20 and add to get 9.
Let 'a' and 'b' be two numbers.
According to given conditions,
a × b = 20 .........................(i)
a + b =9 .......................(ii)
So, from given conditions we have two equations (i) and (ii).
From equation (ii) we have,
a = 9 - b ...............(iii)
Substitute above value of 'a' in equation (i),
⇒ (9 - b) × b = 20
⇒ 9b - b² = 20
⇒ b² - 9b + 20 = 0
Now we solve this quadratic equation to find b.
⇒ b² - 9b + 20 = 0
⇒ b² - 5b - 4b + 20 = 0
⇒ (b - 5) (b - 4) = 0
⇒ b = 5 or b = 4
Find the value of 'a' from equation (iii)
When b = 5
⇒ a = 9 - 5
⇒ a = 4
When b = 4
⇒ a = 9 - 4
⇒ a = 5
Therefore, the required two numbers are 4 and 5.
Learn more about equation here:
https://brainly.com/question/13170101
#SPJ2
Is (-1,2) a solution to the following linear equation:
2x + y = 2
Answer:
No
Step-by-step explanation:
plug in the variables into the equation
(x,y)
(-1,2)
2(-1)+2=2
2*-1=-2
-2+2=0
2 does not equal 0 so therefore no, it is not a solution
A square has a perimeter of 8x - 10 units, Each side is x units long. What is the value of x?
Answer:
They want you to recognize that you can make 2 equations that both are equal to P.... the perimeter.... and then set them equal to each other and solve for x .. as below
Step-by-step explanation:
P = 8x-10
P = 4x
4x = 8x-10
10 = 4x
2.5 = x
17 - 4x = 33
What does X=?
Answer:
x = -4
Step-by-step explanation:
17 - 4x = 33
Subtract 17 from each side
17-17 - 4x = 33-17
-4x = 16
Divide each side by -4
-4x/-4 =16/-4
x = -4
There were 4983 students going on the field trip. Each bus could hold 60 students. How many buses did they need to transport all of the students?
Answer:
eighty four 84 84 84 84 84
Answer:
84
Step-by-step explanation:
help me with this please.
Answer: i know this already is late but ,8 13 18 just adding 5
Step-by-step explanation:
Can someone pleaseeee help if you’re correct I’ll give u brain list
Answer:
45 degrees / 2 miles
Step-by-step explanation:
All the sides are equivalent, therefore each side has the same value.
Hopefully this helped you make sure to make it brainliest! :D
Answer:
Step-by-step explanation:
2√2
last one i need help with
Answer: 10 sq units
Step-by-step explanation:
3 + 4.5 + 0.5 + 2 = 10 sq units
Find the values or a and b
Answer:
a=33 ( vertically opposite angles)
a+90=b( sum of opposite interior angle is equal exterior angle)
33+90 = b
b=123
I NEED HELP PLEAZE!!!!!!!!!!!!!!!! =(
Answer:
x[tex]\sqrt{6y}[/tex]/ 3[tex]y^{2}[/tex]
Step-by-step explanation:
50 points and a Brainliest.
Answer:
1a. 64=4(7+x)
1b. x=9
2a. 64=7+4x
2b. x=57/4
Step-by-step explanation:
1a. To represent this situation, all of the weight for each package must be in the equation. Since each package has 4 boxes, and only the objects in one box are detailed, everything must be multiplied by 4. Now, the values that must be multiplied by 4 are a bag of rice and beans. Since the beans weigh 7 pounds, they can be represented using the constant 7, and the rice can be represented with the variable x. Combining all of this information, the equation 64(total)=4(7+x)
1b. Now, the equation above must be solved. First, divide both sides by 4 in order to get 16=7+x. Now, subtract 7 from both sides to find that x=9
2a. This problem is similar to the first problem, except instead of multiplying both the beans and rice by four, only the rice needs to be multiplied. With this knowledge the equation 64=7+4x is created.
2b. To solve the above equation, 7 must be subtracted from both sides. This leaves 57=4x. Now, both sides must be divided by 4, giving the final answer of x=57/4.
Answer:
1a. 64=4(7+x)
1b. x=9
2a. 64=7+4x
2b. x=57/4
Step-by-step explanation:
Please can someone answer this question quickly please
Thanks
Answer:
C. 5/7
Step-by-step explanation:
Answer:
It is C.5/7
Step-by-step explanation:
Hope this helped have an amazing day!
SOME ONE HELP PLS Jenny has finished 15 of the 20 lessons in her piano book. Liam has finished the same percent of lessons from his piano book. His book contains 40 lessons. How many lessons has Liam finished?
Answer:
30
Step-by-step explanation:
15/20 is 75%
75% of 40 is 30
PLEASE HELP ME I WILL GIVE YOU BRAINIEST
Answer:
2.68 × [tex]10^{26}[/tex] Km³
Step-by-step explanation:
Using the given formula for volume V, then
V = [tex]\frac{4}{3}[/tex] π × (4 × [tex]10^{8}[/tex] )³
= [tex]\frac{4}{3}[/tex] π × 4³ × ([tex]10^{8}[/tex] )³
= [tex]\frac{4}{3}[/tex] π × 64 × [tex]10^{24}[/tex]
= 268 × [tex]10^{24}[/tex]
= 2.68 × 10² × [tex]10^{24}[/tex]
= 2.68 × [tex]10^{26}[/tex] Km³
pleaze help
Plot the ordered pair in a coordinate plane. Describe the location of the point. 32. A(1,3)
33. B(0, -3)
34. C(-4,-2)
35. D(-1 1/4, 2)
and explain it if u can
Answer:
Well, there are 4 quadratic spots on the graph. A(1,3) would be in the top right. B(0,-3) would be on the line on the bottom half of the graph. C(-4,-2) would be in the left bottom half of the graph. and D(-11/4,2) would be in the top right. Connect the dots and just say the shape it makes.
Step-by-step explanation:
7th grade math please help
Answer:
3.8 x 4.5
+
3.8 x 5.1 divided by 2!
Step-by-step explanation:
You can turn it into 2 squares, or follow the hints!
For her science project, Sylvia collected flowers and measured their length. The line plot displays the lengths of the flowers. If
the flowers were laid end to end, what is the total length of all the flowers?
Length of Flowers
Number
of Flowers
OA. 5 feet
OB. 5 feet
OC. 54 feet
OD. 58 feet
Answer:
5 3/4
Step-by-step explanation:
I have this problem too and in the same website too. It told us the total length of all of the flowers, so we add 1/8 + 1/4 + 3/8 + 3/8 + 3/8 + 3/8 + 1/2 + 1/2 + 5/8 + 5/8 + 3/4 + 7/8 and it was equal to 5 3/4
Answer: the answer is 5 3/4
Step-by-step explanation: i took the quiz
Can u help me please
I'll help
The sum of the prices for the items(That's 2large baskets and small gift baskets) for the first customer is $57. So assuming the price of a large basket is x and small basket is y, then an expression for the first sentence is;
2x + 5y= 57
The sum of the prices for the second customer is $6 less than the first customer ( that's 57-6 which is $51). Since he bought 1 large basket and 10 small baskets and the price of each large basket is the same and the price of each small basket is the same they assume the same variable of x and y. So the expression of the second sentence is;
x+10y=51.
So the expressions will be;
2x+5y=57
x+10y=51
That's Option C