ABCD is a Rhombus with side length 10 cm. Angle ADC = 40. DAC is a sector of a circle with center D. BAC is a sector of a circle with center B. Calculate the shaded area.
Answers
The value of the shaded area is approximately 34.907 square centimeters.
How to calculate the area between a rhombus and a circle
According to the description in statement we prepared a representation of the figure in the image attached below. The shaded area is equal to the area of the circle sector ([tex]A[/tex]), in square centimeters:
[tex]A = \frac{\theta\cdot \pi \cdot R^{2}}{360}[/tex] (1)
Where:
[tex]R[/tex] - Length of the radius, in centimeters. [tex]\theta[/tex] - Angle of circle arc, in degrees.If we know that [tex]\theta = 40^{\circ}[/tex] and [tex]R = 10\,cm[/tex], then the area of the circle is:
[tex]A = \frac{(40)\cdot \pi\cdot (10\,cm)^{2}}{360}[/tex]
[tex]A\approx 34.907\,cm^{2}[/tex]
The value of the shaded area is approximately 34.907 square centimeters. [tex]\blacksquare[/tex]
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Related Questions
Two friends at a restaurant each order a fruit drink. The available flavors are watermelon, orange, or mango. Write an organized list using the format to represent the sample space of the friends' fruit drinks.
Answers
Answer: A
Step-by-step explanation:
(Friend 1, Friend 2)
Friend 1 = x
Friend 2 = y
(x, y) variables are substitution for the flavors
So it cant be C or D
B doesn't have all the possible solutions
Yes or no is the are of a circle a function of it’s radius
Answers
Anything that is a function of something is when that something makes up one side of function as a variable for the entire equation.
So yes the area of a circle is a function of its radius
Answer: Area is a function of the radius, but radius is not a function of the area
Step-by-step explanation:
Since the area of a circle is A = PI^2 , the value of the area depends on the radius, so area is a function of the radius, but not the other way around.
33/9 but put the remainder as a fraction, also i need the solution
Answers
Answer:
3 2/3
Step-by-step explanation:
33/9 as a fraction you divide 33 by 9 and get 3 as a whole number and 6/9 then simplify 6/9 by 3 and get 2/3
Answer:
33/9 but put the remainder as a fraction, also i need the solution
Step-by-step explanation:
100 PTS What is the minimum value for the function shown in the graph? Enter your answer in the box.
Answers
By looking at the graph, we can see that the minimum is y = -6.
How to find the minimum value of a function?
The minimum of a function is the smallest value that f(x) takes, to see it, we need to find the lowest value of f(x) in the graph.
In this case, the minimum would be the value that the function takes in the troughs, which we can see is equal to -6.
Then we can conclude that the minimum of the function is y = -6
If you want to learn more about functions, you can read:
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find the marked angles in each of the following. where a point O is given it is the centre of the circle.
Answers
The height of three students in the class are given below. Order the students from shortest to tallest.
Answers
Answer:
Janis, Carl, Catherine
Step-by-step explanation:
janis=1.666
carl=1.7
catherine=2.333
The median of the data set is 18 what number is missing 12,17,_,21,13,25
Answers
Answer:
mais um dia
[tex]1483651[/tex]
Simplify -12x + 5x.
-17 x
-7
-7 x
Answers
Answer:
-7x
Step-by-step explanation:
==> -12x + 5x.
==> -12+5xx
==> -7x
Answer:
-7x
Step-by-step explanation:
−12x+5x
Combine Like Terms:
=−12x+5x
=(−12x+5x)
=−7x
Combining like terms - Combining like terms will simplify a math problem and is also the proper form for writing a polynomial. To combine like terms, just add the coefficients of each like term.
Amanda created a table to help her represent the sample space of spinning a spinner and flipping a coin.
Result of spin
Result of coin toss Red Green Yellow Blue
Heads Red, heads Green, heads Yellow, heads Blue, heads
Tails Red, tails Green, tails Yellow, tails Blue tails
What is the probability that the result of the spin is blue and the coin lands heads up?
two over eight
three over eight
one over eight
four over eight
Answers
Explanation: There are four colors and heads or tails. There are eight options all together and only one option is “Heads Blue”
please help i’ll mark
Answers
Answer:
c = 0.50(0.48)(1525)
Step-by-step explanation:
If 52% of the students are female, then
100% - 52% = 48% of the students are male
48% = 48/100 = 0.48
To find the number of students who are male:
⇒ total number of students x 0.48 = 0.48 x 1525
Half = 50% = 50/100 = 0.50
⇒ half of the male students = 0.50 x 0.48 x 1525
Solution: c = 0.50(0.48)(1525)
Can someone please help me to find the remainder when f(x) is divided by (x^2-4)?
Answers
Answer:
Step-by-step explanation: Given : f(x)=x
4
−3x
2
+4
f(2)=(2)
4
−3(2)
2
+4
=16−12+4=8
Please answer the following Question (35 Points)
Answers
Answer:
19 = y
Step-by-step explanation:
Hello!
These angles are vertical angles or angles that are formed by two lines that intersect. The two non-adjacent angles that are formed are congruent and known as Vertical Angles.
Now that we know what vertical angles are, we know that these two angles (19° and y) are congruent because they are formed by the intersection of two lines and are non-adjacent.
19 = y is your answer
all you need to know is that VERTICALLY OPPOSITE angles are equal
Can someone help me understand what this means
Answers
think of the symbols as crocodiles ( like a crocodile mouth)
the crocodile always wants to eat the biggest number
for example:
10>3
GOOD LUCK
y= 5-3x
y= -3x+4
solution or no solution
Answers
Answer:
no solution
Step-by-step explanation:
y = 5 - 3x → (1)
y = - 3x + 4 → (2)
substitute y = - 3x + 4 into (1)
- 3x + 4 = 5 - 3x ( subtract 4 from both sides )
- 3x = 1 - 3x ( add 3x to both sides )
0 = 1 ← not possible
this indicates the system has no solutions
PLEASE HELP ASAP I NEED THIS TO PASS 20 POINTS 5 STARS
1)By the Triangle Inequality Theorem which set of side lengths could create a triangle?A) 5, 10, 4B) 5, 7, 13C) 7, 9, 3D) 10, 4, 5
Answers
Answer:
C
Step-by-step explanation:
The answer is C because it is the only one where any combination of 2 sides will add up to be greater than the other sides.
Answer:
Step-by-step explanation:
A is not possible, because 5 + 4 < 10 (doesn't satisfly inequality.)
B is also not possible => 5 + 7 < 13 (doesn't satisfy inequality.)
D is also not possible => 4 + 5 < 10 (doesn't satisfy inequality)
So, the answer is C, cause the sum of 2 sides is always more than the other one.
Which model represents the product 3 x 2/5
Answers
Answer:
I believe it is the first one.
Step-by-step explanation:
No work to be shown.
Answer:
The first answer is correct
Step-by-step explanation:
3 groups of 2/5 = 3 x 2/5
Please helppppppp!!!!!!!!!!!!
Answers
Answer:
give me more points then i will tell you the answer
In circle T, what is the value of x?
x = 19°
x = 20°
x = 24°
x = 29°
Answers
Check the picture below.
Answer:
(a) x° = 19°
Step-by-step explanation:
A triangle inscribed in a semicircle is a right triangle. That means the acute angles in the triangle are complementary:
x° = 90° -71° = 19°
Which word phrase represents the numerical expression below? * 4+(27-10)
Answers
Answer:
4 plus the difference of 27 and 10
Step-by-step explanation:
Find the value of x. Helpp Pleasee!
Answers
The graph of quadratic function g is shown on the grid. the coordinates of the x-intercepts, the y-intercept, and the vertex are integers. What is the maximum value of g? A) (0, - 8) B) (- 4, 0) C) (- 3, 1) D) (- 2, 0
Answers
The maximum value is the highest point.
The maximum value of g is,
⇒ (- 3, 1)
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
We have to given that;
The graph of quadratic function g is shown on the grid. the coordinates of the x-intercepts, the y-intercept, and the vertex are integers.
Now, The maximum value of g is the vertex of the parabola.
Hence, by graph;
The maximum value of g is,
⇒ (- 3, 1)
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-1/6 - ( -3/5)
write answer in simplest form
Answers
Answer:
13/30
Step-by-step explanation:
Please answer it’s due tomorrow
Answers
Answer:
60 servings
Step-by-step explanation:
Method 1: 2.5/10 (fraction) = 15/x (fraction)
Draw an arrow from 2.5 to 15 and write x6 (times 6)
Do the same from 10 to x
Then do 10*6 = 60
I don't know another method but hope this helps!
Step-by-step explanation:
First method :-
Using unitary method,
5/2 scoops = 10 servings
1 scoop = 10/5/2 = 4 servings
15 scoops = 15 * 4 = 60 servings
15 scoops = 60 servings of bannock
Second method :-
Using proportions,
Let x be servings of bannock for 15 scoops
Let ratios be 5/2 : 10 and 15 : x
Now,
5/2 : 10 = 15 : x
or, 5/2/10 = 15/x
or, 5/2 * 1/10 = 15/x
or, 1/4 = 15/x
or, x = 15 * 4
so, x = 60
So,
15 scoops = 60 servings of bannock
Need help I have been stuck on this for a while
Answers
Answer:
sqrt25
Step-by-step explanation:
Step-By-Step explanation
Volume(rectangular prism) = lhw (length x width x height)
Since length x width is to find the base area, it mean length x width = 72 square inches.
=> Height = 288 : 72 = 4 inches.
two six sided dice are rolled and the two dice equals 7. what is the probability that one die is a 3
Answers
Let us solve the problem step by step.
here we have rolled two dice. So total no. of possible outcomes will be 6^2=36. These are (1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6).
Now, among these cases the cases where the sum is seven for (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) i.e. there are 6 cases.
Now, it is time to calculate the probability.
The required probability is,
p = (No. of cases favorable for the event)/(Total no. of cases)
=6/36 = 1/6
Therefore your answer is 1/6.If two six-sided dice are rolled and the two dice are equal. The probability that one die is a 3 will be 6.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that, two six-sided dice are rolled and the two dice equal 7.
If two dice are rolled. The total no. of possible outcomes will be,
= 6²
=36
The total outcomes are,
(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6).
If the desired outcome is their sum which is 7. All the possible cases are 6,
(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)
The required probability is,
p(sum=7) = (No. of cases favorable for the event)/(Total no. of cases)
p(sum=7)=6/36
p(sum=7)= 1/6
Thus, if two six-sided dice are rolled and the two dice are equal. The probability that one die is a 3 will be 6.
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Need answers for 9,11,15,17,26,36
Answers
11: 1/25
15: -1
17: 1
26: 1/k^4
36: 14m^2/t^5
The ^ sign is the exponent so like 2^7 would be 2 to the 7th power.
Vance wants to construct a circle tangent to all three sides of the acute, scalene triangle LMN using the following steps.
He will draw altitudes from vertex L and vertex M, and mark their intersection point as O.
He will draw the perpendicular from point O to side MN, and mark the intersection point as P.
He will draw the circle centered at point O which will pass through point P.
Which part of Vance's plan requires revision?
A.
Vance should have found the intersection of two angle bisectors of triangle LMN instead of two altitudes.
B.
Vance should have found the intersection of two perpendicular bisectors of triangle LMN instead of two altitudes.
C.
Vance should have constructed all three altitudes instead of only constructing two altitudes.
D.
Vance should have used the compass to draw a circle through point N instead of point P.
Answers
The part that needs revision in the construction of the tangent to the triangle is C. Vance should have constructed all three altitudes instead of only constructing two altitudes.
What is a triangle?A triangle simply means a polygon that has three sides. Also, a triangle has there's edges as well as vertices.
In this case, in order to construct a circle tangent to all three sides of the acute, scalene triangle LMN, it should be noted that the three altitudes have to be taken into consideration.
This wasn't the case in the step given by Vance as only two altitudes were considered. Therefore, this should be the change that is required.
Learn more about triangles on:
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What is 2/7 divided by 7/8
Answers
Answer:
16/49
Step-by-step explanation:
First we apply the fraction rule a/b ÷ c/d = a/b × d/c :
2/7 ÷ 7/8
2/7 ×8/7
Multiply fractions using this rule a/b × c/d = a×c/b×d :
2×8 =16
7×7=49
So our final answer is 16/49
Amy now earns $9.50 per hour. This is 125% of
what she earned last year. What did she earn per
hour last year?
Answers
answer:
$9.50 = 125% * (last years hourly wage)
$9.50 = 1.25*X
9.50/1.25 = X
$7.60 = X
she earned $7.60 per hour last year!
Round to the required accuracy: 374.9073 to 3 s.f.
Answers
Answer:
375.
Step-by-step explanation:
Significant Figures:
All non-zero numbers ARE significant. ...
Zeros between two non-zero digits ARE significant. ...
Leading zeros are NOT significant. ...
Trailing zeros to the right of the decimal ARE significant. ...
Trailing zeros in a whole number with the decimal shown ARE significant.
