Answers
Answer:
Step-by-step explanation:
First, let's look at the pie-shaped segment defined by the 123° angle and the 18.6 m radius.
The area of the entire circle is given by A = πr² = 3.14159(18.6 m)², or A = 1086.865 m².
The area of the "pie slice" is (123/360) of that, or 371.346 m².
Next, we must find the area of the triangle and subtract this area from this 371.346 m²:
Use the Law of Cosines to find the area of this triangle. The Law of Cosines in appropriate form is
c² = a² + b² -2ab*cos C.
In this case C is 123° and a and b are both 18.6 m in length. Thus,
c² = (18.6 m)² + (18.6 m)² - 2(18.6 m)(18.6 m)*cos 123°
Thus,
c² = 691.92 m² - 691.92*cos 123°, or
= (691.92 m²)(1 - cos 123°)
= (691.92 m²)(1 - [-0.5446] ) = (691.92 m²)(1.5446) = 1068.767
Taking the square root of this result, we get c = +32.6920 m.
Subdivide the triangle shown to form a new triangle with hypotenuse 18.6 m, adjacent side 32.6920 m / 2, or 16.3460 and opposite side h.
Then 18.6² = h² + 16.3460², which leads to h²2 = 18.6² - 16.346², or 78.768.
Then h = √78.768 = 8.875 (m).
We now use this info to find the area of the illustrated triangle, using the formula A = (1/2)(base)(height). That comes out to:
A = (1/2)(16.3460 m)(8.875 m) = 72.535 m²
Finally, we subtract twice that from the area of the 'pie' to get the area of the yellow (shaded) area:
pie area - area of triangle shown in the diagram =
371.346 m² - 145.071 m² = 226.3 m² (to the nearest tenth)
Answer:
226.4
Step-by-step explanation:
NOT 226.3 !!
Related Questions
. Evaluate the following expression: 24 ÷ 3 + 7 ⋅ 2 – 15 ÷ 5 + 6 ⋅ 2 A. 31 B. –31 C. 30 D. 21
Answers
To evaluate the expression, we follow the order of operations (PEMDAS). The result of the expression is 31.
Explanation:To evaluate the expression 24 ÷ 3 + 7 ⋅ 2 – 15 ÷ 5 + 6 ⋅ 2, we need to follow the order of operations, also known as PEMDAS. PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
First, we perform the division: 24 ÷ 3 = 8.Next, we perform the multiplication: 7 ⋅ 2 = 14 and 6 ⋅ 2 = 12.Now, we can write the expression with the values we found: 8 + 14 - 15 ÷ 5 + 12.Then, we perform the division: 15 ÷ 5 = 3.Finally, we perform the addition and subtraction from left to right: 8 + 14 - 3 + 12 = 31.Therefore, the evaluated expression is equal to 31.
What is the volume of the pyramid in cubic inches?
Answers
48 and 81 basically you just have to multiply
Answer:
144 cubic inches
Step-by-step explanation:
We are given a diagram of a pyramid with length = 8 inches, height = 9 inches and width = 6 inches.
We are to find the volume of this pyramid.
We know that the formula of volume of a pyramid is given by:
[tex] \frac { l \times w \times h } { 3 } [/tex]
Substituting the given values in the above formula to get:
Volume of pyramid = [tex] \frac { 8 \times 6 \times 9 } { 3 } [/tex] [tex]=\frac{432}{3}[/tex] = 144 cubic inches
Define the following terms
a. Dividend
b. Divisor
c. Quotient
d. Remainder
Answers
Answer:
Dividend- The number that is divided is called the dividend
Divisor- a number that divides a integer ( It is the number that is divided by the Dividend)
Quotient- is the result when dividing.
Remainder- is the amount that is left over after dividing
Step-by-step explanation:
Example
36 ÷ 6 = 6
36 is the Dividend
6 is the Divisor
6 is the Quotient
No remainder
Hopes this helps!
Order the numbers from least to greatest.
* The square root of 1/64
*1/4
*0.2 repeating
From least to greatest, the numbers are
Answers
Answer:
Step-by-step explanation:
The sqrt of 1/64 is 1/8, or 0.125.
1/4 is equivalent to 0.25.
0.2 repeating is 0.222222222222 ...
Least: 0.125
Middle: 0.25
Greatest: 0.222222222222 ...
The numbers from least to greatest are: square root of 1/64 (0.125), 0.2 repeating (0.222...), and 1/4 (0.25).
Explanation:This problem requires an understanding of fractions and square roots to order the numbers correctly. Firstly, you have to calculate the square root of 1/64. The square root of 1/64 is 1/8 or 0.125. Then, let's consider the other numbers: 1/4 which is equal to 0.25, and 0.2 repeating which is actually equivalent to 0.222 continuing. Now we can order them from least to greatest: 1/8 (0.125), 0.2 repeating (0.222...), and 1/4 (0.25).
Learn more about Ordering Numbers here:https://brainly.com/question/889443
#SPJ3
some of the dimensions, in meters, of a different swimming pool that is a rectangular from the top and trapezoidal from the side are shown. what is the volume, in cubic meters, if the water in the pool when it is completely full?
Answers
Answer:
[tex]4,151.25\ m^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the trapezoidal prism (swimming pool) is equal to
[tex]V=BL[/tex]
where
B is the area of the trapezoidal base
L is the length (distance between the two trapezoidal faces)
Find the area B
[tex]B=\frac{1}{2}(4+8)(30.75)=184.5\ m^{2}[/tex]
[tex]L=22.5\ m[/tex]
Find the volume
[tex]V=184.5(22.5)=4,151.25\ m^{3}[/tex]
Which unit is the largest?
decameter
millimeter
meter
centimeter
Answers
A decameter is the longest, as it has a length equal to 10 meters.
Hope this helps!
Answer:
Decameter
Step-by-step explanation:
A decameter = 10 meter
millimeter = 0.001 meter
meter = meter
centimeter = 0.01 meter
Best regars
In the number 3,657,892 which digit is in the millions place
Answers
The number that is in the millions place is 3
The value of each digit in a number is known as the place value. The correct option is C, 3.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
Identification of the place value of a digit in a number:
The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10The million in a digit is represented by the sixth digit from the right in a number. Therefore, In the number 3,657,892, the digit that is in the millions of places is 3.
Learn more about the Place Value:
https://brainly.com/question/27734142
#SPJ2
What is a scientifically-based theory on finding perimeter?
Answers
Answer:
The concep of rectilinean line between point A and point B.
Search about euclidean laws.
Besr regards
The line between is point A and point B.
if 9450 is 16%, how much is 100%
Answers
Answer:
59062.50
Step-by-step explanation:
Is means equals
9450 = 16% of a number
9450 = .16 N
divide by .16
9450/.16 = .16N/.16
59062.50 = N
The number is 59062.50
We want 100% of the number which is all of it
59062.50
Find the radius of a circle with a circumference of 35 π yards
Answers
Answer:
17.5 yds because Radius is half of the circumference
Step-by-step explanation:
The radius of the circle with a circumference of 35 π yards is 17.5 yards.
Circumference of a circle:The circumference of a circle is the perimeter of a circle. Therefore,
circumference = 2πrwhere
r =radius
Therefore,
circumference = 35πyard
35π = 2πr
divide both sides by 2π
35π / 2π = 2πr / 2π
r = 17.5 yards
learn more circumference here: https://brainly.com/question/12388744
Item 1
Plot and connect the points to make a picture.
1 (5,0) 2 (2,−3) 3 (2,−2) 4 (0,−2)
5 (−3,−2) 6 (−3,0) 7 (−3,2) 8 (0,2)
9 (2,2) 10 (2,3)
Answers
A group of art students are painting a mural on a walls the rectangular wall has dimensions of (6x+7) by (8x+5) and they are planning the mural to be (x+4) by(2x+5). What is the area of the remaining wall after the mural has been painted
Answers
Answer:
46x^2 + 73x + 15
Step-by-step explanation:
Expand both equations
Wall = (6x + 7)(8x + 5) = 48x^2 + 56x + 30x + 35 = 48x^2 + 86x + 35
Mural = (x + 4)(2x + 5) = 2x^2 + 5x + 8x + 20 = 2x^2 + 13x + 20
Minus them.
Wall - Mural =
(48x^2 + 86x + 35) - (2x^2 + 13x + 20)
(48x^2 - 2x^2) + (86x - 13x) + (35 - 20)
46x^2 + 73x + 15
Answer:
46x^2 + 73x + 15
Step-by-step explanation:
Expand both equations
Wall = (6x + 7)(8x + 5) = 48x^2 + 56x + 30x + 35 = 48x^2 + 86x + 35
Mural = (x + 4)(2x + 5) = 2x^2 + 5x + 8x + 20 = 2x^2 + 13x + 20
Minus them.
Wall - Mural =
(48x^2 + 86x + 35) - (2x^2 + 13x + 20)
(48x^2 - 2x^2) + (86x - 13x) + (35 - 20)
46x^2 + 73x + 15
HELP PLZ (30 POINTS)
Answers
Answer: I think 1 or 2
Answer:
4: 3 and 2
5: 1 and 4
Find the length of the side of a square with an area of 49.
A. 49
B. 7
C. 25
D. 2,401
Answers
7 is the answer
Area =length *breadth
Area =length *length
Area=49=x *x
[tex]49 = {x}^{2} \\ \sqrt{49} = x \\ x = 7[/tex]
Show that sin (x + pi) = -sin x.
Answers
Answer:
The answer in the procedure
Step-by-step explanation:
we know that
[tex]sin(A + B) = sin A cos B + cos A sin B[/tex]
In this problem we have
[tex]sin(x + \pi)=sin (x)cos(\pi) + cos(x)sin(\pi)[/tex]
Remember that
[tex]sin(\pi) = 0[/tex]
[tex]cos(\pi) = -1[/tex]
substitute
[tex]sin(x + \pi) = sin(x)(-1) + cos(x)(0)[/tex]
[tex]sin(x + \pi) = -sin(x)[/tex]
Final answer:
To prove that sin (x + π) = -sin x, the trigonometric identity for the sine of a sum is used, and by considering the specific values for cos π and sin π, the identity simplifies to the required expression.
Explanation:
To show that sin (x + π) = -sin x, we can use the trigonometric identity for the sine of a sum:
sin (α + β) = sin α cos β + cos α sin β
Applying this identity to sin (x + π):
sin (x + π) = sin x cos π + cos x sin π
Since cos π = -1 and sin π = 0, we substitute these values:
sin (x + π) = sin x (−1) + cos x (0)
sin (x + π) = −sin x + 0
Hence, sin (x + π) = −sin x, demonstrating the original statement.
Mrs siebenaller recorded the average number of points a student earned on unit 3 and unit4 quizzes Unit 3 {2,4,2,3,5,2} Unit 4 {5,1,1,5 1,5} a. what is the mean point value for each unit? Please help
Answers
Step 1:
Add all the numbers together
2+4+2+3+5+2=18
Step 2:
Divide the sum by the amount of addends.
2+4+2+3+5+2=18: 6 addends
18/6=3
Mean of unit 3: 3
Mean of unit 4 points
Step 1:
Add all the numbers together
5+1+1+5+1+5=18
Step 2:
Divide the sum by the amount of addends.
5+1+1+5+1+5=18: 6 addends
18/6=3
Mean of unit 4: 3
As shown in the diagram of the right triangles below, Triangle: ABC ~ Triangle: DEF, AB = 7x, BC = 4, DE = 7, EF = x. What is thr perimeter of Triangle: DEF to the nearest hundredth?
Answers
since triangles are similar
4/x = 7x/7
=》 4/x = x
=》x^2 = 4
=》 x = 2
for right triangles a^2 = b^2+c^2
DF^2 = 7^2+2^2 = 53
=》 DF = 7.28
perimeter of DEF = 7 +2+7.28 = 16.28
Brenda walk the dogs after school she is planning to increase the rate that she charges by 20% in January when does current rate for walking a dog is $4.50 what will be the new rate in dollars after the 20% increase? Plz show work
Answers
Answer:
$5.40
Step-by-step explanation:
To find the increase we need to consider our variables.
Current Rate = $4.50
Increase Percentage = 20% or 0.20
Now we can find the new rate by multiplying the Current Rate to the Increase Percentage and add it to the Current Rate again.
Total Price w/ Increase = ($4.50 x 0.20) + $4.50
Total Price w/ Increase = $0.90 + $4.50
Total Price w/ Increase = $5.40
I REALLY NEED HELP! PLEASE HELP ME!
64−(3y+8y+y)÷40=37
8,000÷(28x+4)−15=25
Answers
Answer:
y = -118 and x = 7
Step-by-step explanation:
I've attached a picture with my work.
Detailed steps on solving equations with variables y and x, including simplification and solving for the unknowns.
Solving the equation 64−(3y+8y+y)÷40=37:
Combine like terms: 64 - (12y) ÷ 40 = 37Simplify: 64 - 0.3y = 37Solve for y: y = (64 - 37) / 0.3 = 90Solving the equation 8,000÷(28x+4)−15 = 25:
Add 15 to both sides: 8,000 ÷ (28x + 4) = 40Multiply both sides by (28x + 4): 8,000 = 40(28x + 4)Solve for x: x = (8,000 - 160) / 40(28) = 6identify the center and the radius of a circle with equation (x-4)^2+(y+2)^2=9
Answers
Answer:
center:(4,-2)
Radius: 3 units
Step-by-step explanation:
The standard equation of a circle is given as [tex](x-h)^2+(y-k)^2=r^2[/tex], where (h,k) is the center and r is the radius of the circle.
The given equation is [tex](x-4)^2+(y+2)^2=9[/tex].
We compare to the standard equation of the circle to get;
[tex]x-h=x-4[/tex]
[tex]\Rightarrow -h=-4[/tex]
[tex]\Rightarrow h=4[/tex]
and
[tex]y-k=y+2[/tex]
[tex]\Rightarrow -k=2[/tex]
[tex]\Rightarrow k=-2[/tex]
Hence the center of the circle is (4,-2).
Also, we have [tex]r^2=9[/tex]
Therefore [tex]r=\sqrt{9}[/tex]
[tex]r=3[/tex] units.
Answer:
Center at (4,-2); radius: 3
Step-by-step explanation:
Brianna spent a total of $52 on 4 used video games. What was the average cost of a game?
Answers
52 divided by 4 then you’ll get 13
Take 52 and divide it by 4 (52 ÷ 4 = 13)
The individual games cost an average of $13 each.
Gabriella has $300 in her checking account and $125 in her savings account if Gabriella transferred enough money from my checking account to her savings account to double the savings account balance what is her new checking account balance
Answers
Answer:
Step-by-step explanation:
$300-$125=$175
Evaluate g(x)= 2/3x + 7 For x=9
A. 9
B. 25
C. 12.5
D. 13
Answers
Answer: 13
Step-by-step explanation:
In order to solve this equation you need to replace x with 9.
2/3 x 9 + 7=
6 + 7=
13
What is the value of the expression |3x-y| + |2y-x| if x= -4 and y= -1?
A. -13
B. -11
C. 11
D. 13
Answers
Answer:
D) 13
Step-by-step explanation:
3(-4)=-12+1=-11
2(-1)=-2+4=-2
11+2=13
What is the factored form of x2 - 12x - 45?
Answers
Answer:
(x - 15)(x + 3)
Step-by-step explanation:
Factors of 45 include 5 and 9, 3 and 15, 1 and 45, and so on.
Note that 3*15 =+45; this is not what we wanted. Thus, try (-3)*15 = -45.
Do -3 and 15 combine to yield -12? No. Thus drop (-3)(15) and try (3)(-15).
Do 3 and -15 combine to yield -12? YES
Therefore, the factored form of x² - 12x - 45 is (x - 15)(x + 3).
Which is more, 1 yard or 64 inches?
Answers
Answer:
64 inches
Step-by-step explanation:
12 x 3ft (1yard)=36in
Rewrite the quadratic function in standard form and give the vertex f(x)=3x^2-6x-9
Answers
Answer:
y=3(x-1)^2-12
Step-by-step explanation:
HELP PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: C.
Step-by-step explanation:
All we need to do is add all the number together:
Convert to decimals for easier adding:
2.5+2.5+(3.5*5)+4.25+4.25+5.5=36.50km
Now we convert to a fraction: 36.50=36 2/4km
So the answer is 36 2/4km
i’m struggling with number 55 every time ive tried i don’t end up with the right answer
Answers
Answer:
X=2
Step-by-step explanation:
which of the figures shown above polygons?
Answers
Answer:
the one with 5anglesinterior angles are 5