Answer:
96 cm²
Step-by-step explanation:
From the question,
s = (2πr∅/360)+2r................. Equation 1
Where s = Perimeter of a sector, r = radius, ∅ = angle subtend by the sector at the center of the circle.
Given: s = 40 cm, r = 8 cm
Constant : π = 3.14.
Substitute into equation 1 and solve for ∅
40 = (2×8×3.14×∅/360)+(2×8)
40 = (50.24∅/360)+16
40-16 = 50.24∅/360
50.24∅/360 = 24
50.24∅ = 24×360
50.24∅ = 8640
∅ = 8640/50.24
∅ = 171.97°
Area of a sector (A') = ∅πr²/360
A' = 171.97×3.14×8²/360
A' = 95.997
A' ≈ 96 cm²
Can someone help me find the area
Answer:
Area of the composite figure = 84 in²
Step-by-step explanation:
Area of the composite figure = Area of rectangle DEFG + Area of rectangle BCGH + Area of triangle ABH
Area of rectangle DEFG = DE × EF
= 5 × 10
= 50 in²
From ΔBHA,
AB = ED = 5 in [Given]
AH = FA - (GH + FG)
= 15 - (7 + 5)
= 15 - 12
= 3 in.
By applying Pythagoras theorem in ΔABH,
AB² = HB² + AH²
5² = HB² + 3²
25 - 9 = HB²
HB = √16
HB = 4 in
Area of rectangle BCGH = BC × HB
= 7 × 4
= 28 square in.
Area of triangle ABH = [tex]\frac{1}{2}(\text{Height})(\text{Base})[/tex]
= [tex]\frac{1}{2}(BH)(AH)[/tex]
= [tex]\frac{1}{2}(4)(3)[/tex]
= 6 in²
Therefore, area of the composite figure = 50 + 28 + 6
= 84 in²
Which point is located at (0.25, -0.50)?
A
C
T
Answer:
i would say R
Step-by-step explanation:
Answer: The answer is R
Step-by-step explanation:
The cost of a barrel of beans, b, fluctuates by 17% in both directions during a three-month period. Match each verbal description of the high and low cost of a barrel of beans with all
Answer:
b is increased by 17% : A and E
b is decreased by 17%: H and J
Step-by-step explanation: took the test
Find the tangent of angel U.
Answer:
C
trust me that is my answer
Help anybody? If so thanks
Find the equation of circle passing through points (5 7) and (2 -2 ) whose center lies on the 2x-y=1
Answer:
(x-2)²+(y-3)²=5².
Step-by-step explanation:
1. the equation of line through points (5;7) and (2;-2) is:
[tex]\frac{x-5}{3} =\frac{y-7}{9}; \ => \ 3x-y-8=0.[/tex]
2. to find the equation of the line, which is perpendicular to the line 3x-y-8=0:
the vector (3;-1) is perpendicular to the line 3x-y-8=0 and it is the vector-pointer for the requred line, and if |n₁|*|n₂|=0 (where n₁ is normal vector to the line 3x-y-8=0 and n₂ is normal vector to the required line), then 3*x-1*y=0 (where 'x' and 'y' any numbers). x=1; y=3, then n₂(1;3), then the required line is x+3y+C=0, where C - is unknown number.
3. to find the equation of the line, which is perpendicular to the line 3x-y-8=0 and passes through the middle point of (5;7) and (2;-2):
middle point is (7/2;5/2), then after substitution of coordinates of the middle point into the equation x+3y+C=0 it will be 3.5+3*2.5+C=0, ⇒ C= -11.
the required equation is x+3y-11=0
4. to calculate the intersection point of x+3y-11=0 and 2x-y=1:
[tex]\left \{ {{2x-y=1} \atop {x+3y=11}} \right. \ => \ (2;3)[/tex]
the point (2;3) is the centre of the required circle.
5. to calculate the radius² of the required circle:
r²=(5-2)²+(7-3)² or r²=(2-2)²+(2+3)², then r²=5².
6. if the centre of the required circle is (2;3) and its r²=25, then it is possible to make up the equiation of the circle:
(x-2)²+(y-3)²=5².
Which is the better buy: 12 OZ for $1.25or 18 OZ for $1.75?
Answer:
18 OZ is better$1.75 to buy
Find the surface area of the prism. 5cm 7cm 4cm
Meg earns $8 an hour. If she made less than $48 this weekend, how many hours did she work?
Answer:
If she made LESS than $48, then she worked 5 hours. But If she made exactly $48, then she worked 6 hours.
Step-by-step explanation:
MARK ME BRAINLIEST?
Ans: 720cm
2
The ratio of the number of Malay students to the number of Indian students to the
number of Chinese students in a school is 5:4:8.
There are a total of 468 Indian and Chinese students.
What is the total number of students?
Ans:
Answer:
663
Step-by-step explanation:
the total number of students can be determined using this equation :
(total ratio of Chinese and Indian students / total ratio of students) x n = 468
total ratio of Chinese and Indian students = 4 + 8 = 12
total ratio of students 4 + 8 + 5 = 17
N = TOTAL NUMBER OF STUDENTS
12/17) x n = 468
multiply both sides of the equation by 17/12
n = 663
An event that is guaranteed to happen has a probability of exactly
Answer:
100%
Step-by-step explanation:
It is confirmed to happen, or [tex]\frac{100}{100}[/tex]
Answer:
An event that is guaranteed to happen has a probability of exactly 1
Jacob made a banner for a sporting event in the shape of a parallelogram. The area of the banner is 127 1/2 square centimeters. The height of the banner is 4 1/4 centimeters. What is the base of the banner?
PLS HELP PLS PLS
Answer:
The base of the banner is 30 centimeters.
Step-by-step explanation:
Area = base × height
Plug in the numbers:
127 1/2 = b × 4 1/4
Convert mixed fractions into improper fractions for easier calculations.
Improper fraction formula: (denominator × mixed number + numerator)/denoninator
(2 × 127 + 1)/2 = 255/2
(4 × 4 + 1)/4 = 17/4
Rewrite equation:
255/2 = b × 17/4
Isolate variable b by multiplying the reciprocal of 17/4 (which is 4/17).
1020/34 = b
Simplify.
30 = b
what linear equation is represented by the table
0 -2
1 2
2 6
3 10
giving brainliest!! *easy*
Surface area is 1256.64
Which of the following names of geometric objects does The order of letters not matter
9514 1404 393
Answer:
B. line AB
Step-by-step explanation:
The terminal point must be named first when naming a ray.
The vertex must be named in the middle when naming an angle.
The order of points does not matter when naming a line.
What is the range of the function graphed below?
A. Y>-1
B X< -1
C X>-1
D Y< -1
LOOK AT THE GRAPH.
Answer:
Option A
Step-by-step explanation:
Range of a function is defined by the set of y-values (output values).
From the given graph,
Y-values of the exponential function given in the graph vary from y = -1 to y = ∞ (excluding both the points)
Therefore, Range of the given exponential function will be y > -1
Option A will be the correct option.
WILL GIVE BRAINLYIST
69X420
Answer:
28,980
Step-by-step explanation:
Easy claps my boiiiiiiiii
Hail Hydra
what is the x-intercept?
Answer:
-2
Step-by-step explanation:
I'm not 100% sure but...
The x-intercept is when the y is 0.
And if we look at the coordinate plane, then we see that the x-intercept is two units down, and y is zero, which means that it would probably mean that the x-intercept is -2.
Write two integers whose sum is 6 and difference is also 6.
Answer:
6,0
Step-by-step explanation:
Mr. Wilson invested money in two accounts. His total investment was $20,000. If one account pays 3% in interest and the other pays 6% in interest, how much does he have in each account if he earned a total of $960 in interest in 1 year?
He invested $__ in the 3% account and $__ in the 6% account.
Answer:
8000 and 12,000
Step-by-step explanation:
Let the amount of money deposited in the 3% account be known as "x"
The amount of money deposited in the 6% account would be "20,000 - x" (aka the remaining amount of money not put into the first account)
3% Interest -> 0.03 *
6% Interest -> 0.06 *
0.03 * x + 0.06 * (20,000 - x) = 960
0.03x + 1200 - 0.06x = 960
-0.03x = -240
x = 8000
20,000 - x
20,000 - 8000 = 12000
Find the area of the figure to the nearest tenth
A. 99.0 in.
B. 31.5 in.
C. 11.0 in
D. 155.5 in.
Answer:
155.5 is the answer
Step-by-step explanation:
Answer:
The correct answer is A) [tex]99.0 \ in.^{2}[/tex]
Step-by-step explanation:
Just took the test
hope this helps :)
h ft
5 ft
30 ft
6 ft
A. 20
B.25
C.23
D.30
Please help!!
Answer:
25ft
Step-by-step explanation:
You take the bigger length of the two triangles and divide by the the smaller length of the smaller triangle. This is what the equation would look like:
30/6=5
Then you multiply 5 to the height of the smaller triangle and you got the height for the bigger triangle:
5 x 5=25
I hope this helped you!
Answer will be a fraction.
A group of coins is shown below.
What is the probability and its
complement of randomly
selecting a nickel?
Answer:
1/3
Step-by-step explanation:
3 out of the nine coins are nickels, when that is simplified your fraction becomes 1/3
Please help This Is A Speed, Time and Distance Worksheet!
Please SHOW your WORK!
nick is baking fudge. what is the minimum amount of plastic wrap needed to cover this piece of fudge?
Answer:
4 inches
Step-by-step explanation:
Answer:
where is the picture?
Step-by-step explanation:
Write an expression that represents the height of a tree that begins at 5 feet and increases by 4 feet
per year. Let y represent the number of years.
Hurry ASAP) Graph the system of equations. f ( x) = x^2 - 5x + 7 and g(x)=2x + 1. Which statements are true about the solutions to the system of equations? Select each correct answer. ( I accidentally clicked on option A but I don't know the answer at all). Will Mark Brainliest.
Answer:
N/A
Step-by-step explanation:
Get the Desmos graphing calculator app. it is very helpful when graphing and needing to be able to compare functions
What is the greatest common factor of 6, 42, and 30?
Answer:
6
Step-by-step explanation:
I found that the greatest common factor for those numbers is 6
WILL MARK BRSINLIEST ANSWER IF GOTTEN RIGHT
Answer:
16.8km
Step-by-step explanation:
Arc length = 2πr(θ/360)
=2π(8)(120/360)
=16.7551608191
≈16.8km
Answer:
16.8 km
Step-by-step explanation:
Arc length = 2πr (θ/360)
So plug in the values:
2π(8)(120/360) = 16π(1/3) = 16π/3
16.75516 ——————> 16.8 km
Free brainlest! Just answer this....... WHAT IS BETTER PS4 OR Xbox if you get it right you can have it!
Answer:
Depends
Step-by-step explanation:
PS4 has a better gaming system and better games (Spiderman example)
But Xbox has the better controller. I think Xbox is better I prefer it but it doesn't really matter.