Answers
Answer:
[tex]1051 .55 {mm}^{2} [/tex]
Step-by-step explanation:
Find the area of the square - area of 4 sectors
We'll use the formula to find one sector area
[tex]a = \frac{1}{2} \times {r}^{2} \times x[/tex]
where r is the radius of one sector and x is the angle in radians
Since each angle is in a square, the angle of the sectors is 90 degrees.
Convert degrees to radians
[tex]90 = \frac{1}{2} \pi \: rad[/tex]
The radius of one sector is given by 70mm/2=35mm
One sector area:
[tex] \frac{1}{2} \times {35}^{2} \times \frac{1}{2} \pi = 306.25\pi[/tex]
Area of all 4 sectors:
[tex]4 \times 306.25\pi = 1225\pi[/tex]
Area of the square:
[tex]70 \times 70 = 4900[/tex]
Hence, Area of square - 4 Sectors:
[tex]4900 - 1225\pi = 1051.55 {mm}^{2} (2dp)[/tex]
Answer:
1053.50 mm^2
Explanation:
first calculate the area of square ABCD
area of ABCD = AB × AB
= 70 × 70 = 4900 mm^2
if you look closely, there are 4 quater-circles with radius (AB/2 = 35 mm) and their center A,B,C and D.
now
area of any one quater circle =( pi × r^2 )/4
area of 4 quater circle =(pi × r^2)
where, pi = 3.14 and r = radius of quater circle
area of 4 quater-circle = (3.14 × 35^2)= 3846.50 mm^2
hence area of shaded region = area of square - area of 4 quater circles
= 4900 - 3846.50
=1053.50 mm^2
Related Questions
Can anyone please help me I am not sure if it’s the correct answer but someone please help me!
Answers
Answer:
doing the inverse operationStep-by-step explanation:
You can tell how to isolate a variable by listing the operations done to it, as prescribed by the order of operations. Then, you work backwards up the list performing inverse operations as you go.
__
Additional comment
Where mixed powers of the variable are involved, as in polynomials of degree higher than 1, there is generally not an inverse operation you can use to isolate the variable. Rather, special forms are used that facilitate isolating the variable. The variable in a quadratic, for example, can be isolated by "completing the square." Similar procedures are available for solving cubic and quartic equations, though those tend to be somewhat more complicated.
There are many kinds of equations in which there are no methods for isolating the variable. In general, any mix of polynomial terms and logarithmic, exponential, or trigonometric function terms are in that category: x +sin(x) -3 = 0, for example. (A graphing calculator shows the solution is near x=2.18, where the angle is in radians.)
What is the slope of this line
Answers
Answer:
if I'm right 8,1 okkkkkk
Answer:
use y=mx + or - b to solve!
Step-by-step explanation:
Way to go!
With that you should get (8,1)
Jordan has $30.00 to spend. What combination of watermelon, pineapple, and mango can Jordan buy for $30.00? Draw a picture and write a number sentence that shows two different ways he could spend his money if he .00. Cut out the manipulatives on the last page, or draw your own pictures on a separate sheet of paper to help you solve the problem.
Answers
Answer:
he could get like 30 things for a $$$$$$$$$
Step-by-step explanation:
10 watermelon = $10
10 mango = $10
10 pineapple = $10
The L.C.M of 4 and 8 is what?
Answers
Answer:
8 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
Answer:
[tex]8 \: is \: the \: lcm \: of \: 4 \: and \: 8[/tex]
Beatrice traveled the last 220 miles of the trip at 55 miles per hour. The entire trip
covered 430 miles and took 7 hours. What was her rate for the first 210 miles?
Answers
Answer:
Beatrice traveled the last 220 miles of the trip at 55 miles per hour. The entire trip covered 430 miles and took 7 hours. What was her rate for the first 210 mile?
Let Beatrice's average speed for the first 210 miles = S
220/55 + 210/S
Solve for S:
4 + 210/S = 7
Bring 4 + 210/S together using the common denominator S:
(2 (2 S + 105))/S = 7
Multiply both sides by S:
2 (2 S + 105) = 7 S
Expand out terms of the left hand side:
4 S + 210 = 7 S
Subtract 7 S + 210 from both sides:
-3 S = -210
Divide both sides by -3:
Answer: |S = 70 - miles per hour, her speed for the first 210 mStep-by-step explanation:
Don't scroll!! 40 points for whoever helps me!! T-T
A 54-foot tall office building casts a shadow that is 48 feet long. If Mindy is 5’6” tall and standing nearby, find the length of her shadow.
Answers
Answer: 200ft
half
Step-by-step explanation for the question i don't know: I don't have the true answer but would it be half...? nvm lol
Answer:
[tex]\huge\boxed{\frac{44}{9} \ \text{feet}}[/tex]
Step-by-step explanation:
If the sun hits two objects at the same time of day, their shadow lengths will be proportionate to their original object with same constant of proportionality.
Therefore, we can set up a proportion fraction to find Mindy's shadow length. Let's assume we have the fraction as [tex]\frac{\text{original}}{\text{shadow}}[/tex].
[tex]\frac{54}{48}=\frac{5.5}{x}[/tex]
We use 5.5 because 5'6" is the same thing as 5.5 feet - 6 inches is half a foot.
We can solve for x by cross multiplying.
[tex]48 \cdot 5.5=264[/tex]
[tex]264 \div 54 = \frac{264}{54}[/tex]
We can simplify this fraction by dividing the numerator/denominator by 6.
[tex]264 \div 6 = 44\\54\div6=9[/tex]
[tex]\frac{44}{9}[/tex]
So Mindy's shadow is [tex]\frac{44}{9}[/tex] feet long.
Hope this helped!
For exercises 23-27 use this illustration of a drink dispenser gauge on the front of the dispenser shows how much of the liquid remains in the gauge that dispenser holds 120 cups a. About what fraction of the cup is filled with liquid b. About how many cups of liqiud are in the dispencer c. About what fraction of the dispencer is empty d. About how many more cups of liquid does it take to fill the cup
Answers
Answer:
a) 2/3
b) 80 cups
c) 1/3
d) 40 cups
Step-by-step explanation:
Fraction of a full dispenser = 1
a. About what fraction of the cup is filled with liquid
= 1 - 1/3
= 2/3
b. About how many cups of liqiud are in the dispenser
We have 120 cups.of liquid that the dispenser contains
Hence,
= 2/3 × 120
= 2 × 40
= 80 cups
c. About what fraction of the dispenser is empty
= 1 - Fraction of liquid currently in the dispenser
= 1 - 2/3
= 1/3
d. About how many more cups of liquid does it take to fill the cup
= 1/3 × 120
= 40 cups
It will take 40 cups to fill the dispenser
An emperor penguin dives down into the ocean at a constant rate. From the surface, he dives 1,760 feet in 8 minutes. The number -1760 represents the location of the penguin in relation to the surface. What number represents the location of the penguin in relation to the surface 2 minutes after beginning his dive?
Answers
Answer:
location after 2 minutes dive from the surface = -440 feet
Step-by-step explanation:
We are told that he dives 1,760 feet in 8 minutes.
Now, we are told that he dives down at a constant rate.
Thus means that the distance he dives per minute can be gotten.
Distance dived per minute = 1760/8 = 220 feet/minutes
Now, we want to find the location of the penguin in relation to the surface 2 minutes after beginning his dive.
Thus;
Distance after 2 minutes = 220 feet/minutes × 2 minutes = 440 feet
Now, because the dive is below the surface, the location will be negative.
Thus, location after 2 minutes dive from the surface = -440 feet
Could someone please help me? I'm lost on how to solve this.
here is the multiple-choice for the question:
A) $21.83
B) $21.65
C) $22.37
D) $22.08
Answers
Answer:
$22.08
Step-by-step explanation:
As long as the night power is not greater than 50%, then the rate is $8.71365.
The day power plan is $13.3672, according to the narration the sum of both variable is required, which is $22.08085.
PLEASE HELP ME ima dumb and really bad at math :(((( !!
Answers
Answer:
-27,0
Step-by-step explanation:
I think, not entirely sure tho.
Tammy has planted a small young tree in her yard. To allow for the trees growth she needs 15 ft in all directions around the base of the tree to remain open and unplanted which best describes the section of ground surrounding the base of the tree that should remain unplanted? Area of an isosceles triangle, area of a equilateral triangle, area of ellipse, area of a square, or the area of a circle?
Answers
Answer:
area if square or area of ellipse
Step-by-step explanation:
I think so if I get it word don't get made at me
The required area that is best for the planting of the tree is the area of the circle.
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
Given that, Tammy has planted a small young tree in her yard. To allow for the growth of the tree she needs 15 ft in all directions around the base of the tree to remain open.
When the curve is drawn at 15 ft from the plant the curve came out to be a circle,
Thus, the required area that is best for the planting of the tree is the area of the circle.
Learn more about the surface area here: https://brainly.com/question/2835293
#SPJ2
help plz!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
3x = 105
x = 35
3(35) = 105
(30PTS and PLEASE HELP!!) What is the function rule that describes the pattern in the table?
X: -2, -1, 0, 2, 1
Y: -6, -5, -4, -3, -2
A. x = y - 4
B. y = x + 4
C. y = x - 4
D. x = y + 4
Answers
9514 1404 393
Answer:
C. y = x - 4
Step-by-step explanation:
We notice that values of x are consistently 4 more than the corresponding values of y. One way this can be written is ...
x = y + 4 . . . (matches choice D)
However, we usually consider y to be the dependent variable. Rearranging this to "y = " form, we have ...
y = x - 4 . . . matches choice C
Help *QUICK!!!* please
Answers
Answer:
a. 8x+5
b. 7x+1
c. 14x²+6x+8
d. x²+6x+5
Triangle XYZ has vertices X(8, −2.3), Y(6.5, 5), and Z(6, 3). When translated, X′ has coordinates (3.8, −0.3). Enter a rule to describe this transformation. Then find the coordinates of Y′ and Z′. Drag and drop each number into the correct box to complete the statements. The rule is (x, y) arrowright parenleftzex − , y + parenrightze. The coordinates are Y′parenleftze, parenrightze and Z′parenleftze, parenrightze.
Answers
Answer:
The coordinates of [tex]Y'(x,y)[/tex] and [tex]Z'(x,y)[/tex] are [tex]Y'(x,y) = (2.3, 7)[/tex] and [tex]Z'(x,y) = (1.8, 5)[/tex], respectively.
Step-by-step explanation:
A translation is a geometrical operation consisting in moving a point a given distance. We proceed to describe the operation:
[tex]X(x,y) +U(x,y) = X'(x,y)[/tex] (Eq. 1)
Where:
[tex]X(x, y)[/tex] - Initial point on the cartesian plane, dimensionless.
[tex]X'(x, y)[/tex] - Translated point on the cartesian plane, dimensionless.
[tex]U(x, y)[/tex] - Translation component, dimensionless.
Vectorially speaking, we find that translation component is:
[tex]U(x, y) = X'(x,y) -X(x,y)[/tex]
If we know that [tex]X(x,y) = (8, -2.3)[/tex] and [tex]X'(x,y) = (3.8, -0.3)[/tex], the translation component is:
[tex]U(x,y) = (3.8,-0.3)-(8,-2.3)[/tex]
[tex]U(x,y) = (3.8-8, -0.3+2.3)[/tex]
[tex]U(x,y) = (-4.2, 2)[/tex]
Now we determine the coordinates of [tex]Y'(x,y)[/tex] and [tex]Z'(x,y)[/tex]:
([tex]Y(x,y) = (6.5, 5)[/tex], [tex]Z(x,y) = (6,3)[/tex])
[tex]Y'(x,y) = Y(x,y) + U(x,y)[/tex] (Eq. 2)
[tex]Y'(x,y)=(6.5, 5) + (-4.2, 2)[/tex]
[tex]Y'(x,y) = (2.3, 7)[/tex]
[tex]Z'(x,y) = Z(x,y) + U(x,y)[/tex] (Eq. 3)
[tex]Z'(x,y) = (6,3)+(-4.2,2)[/tex]
[tex]Z'(x,y) = (1.8, 5)[/tex]
The coordinates of [tex]Y'(x,y)[/tex] and [tex]Z'(x,y)[/tex] are [tex]Y'(x,y) = (2.3, 7)[/tex] and [tex]Z'(x,y) = (1.8, 5)[/tex], respectively.
Susan walks into a coffeeshop. The shop charges $3 for a small coffee and $2 one-time tip for the barista. Consider the following: y = 3x + 2, y is the total cost for coffees and x is the number of coffees purchased. Based on the information, which statement is TRUE?
Answers
[tex]x^{2} \sqrt{x} \neq \geq \leq[/tex]Answer:
B
Step-by-step explanation:
Its so easy
answer please!!! asap
Answers
Describe the translation of figure ABCD. Use the drop-down menus to explain your answer.
AlternativeText
Figure ABCD is translated
unit(s) right and
unit(s) up.
Answers
Answer:
Is Figure A'B'C'D' a translation of Figure ABCD? Explain. Yes; it is translated 2 units left and 2 units up.
Step-by-step explanation:
How many solutions can be found for the equation 5x 3(x − 1) = 10x − 2x − 3? None One Two Infinitely many.
Answers
Answer:
D.∞
brainliest would be appreciated!
How many pieces of 3 1/2 in. Wood can be cut from a 63 in. Piece of wood?
Answers
Answer:
18
Step-by-step explanation:
So, it's a 63 in piece of wood, being cut into 3 1/2 in pieces, (or 3.5)
So do 63 / 3.5 = 18
18 pieces of 3 1/2 in pieces of wood
help please! could someone also show how they got the answer?
Answers
Answer:
420
Step-by-step explanation:
1. Find the area of the square:
5 x 5 = 25
2. Find the area of the triangle:
1/2 x base x height
1/2 x 5 x 4 = 10
3. Add the two areas:
25 + 10 = 35
4. Multiply 35 by 12:
35 x 12 = 420
Kevin, the pharmaceutical salesman, receives
$510 per month base pay plus 6% commission.
In 2 months, after touring a metropolitan area,
He had sold $260,000 in pharmaceuticals.
How much did he make in the two-month period?
Answers
Answer:
16,620
Step-by-step explanation:
so we have 510(2 months)+(260,000x0.06%) = 16,620
please mark as brianlest.
Write out the steps to find the solutions for the following quadratic: (x-2)^2 = 25
(Please help me out with this one!)
Answers
Answer:
x=7
Step-by-step explanation:
Starting with (x-2)² = 25
First, square root both sides to get rid of the square on the left. You'll get:
x-2 = 5
Add 2 to both sides to get x alone. You'll get:
x=7
Check your answer by filling in 7 for x:
(7-2)² = 25
(5)² = 25
25 = 25
Please help me solve Question no C anyone?
Answers
Answer:
Step-by-step explanation:
A bird flies from the bottom of a canyon that is 87 7/10 feet below sea level to a nest
that is 829 7/10 feet above sea level. What is the difference in elevation between the bottom of the
canyon and the bird's nest?
Answers
Answer:
742 feet
Step-by-step explanation:
829 7/10 - 87 7/10=742
Evaluate n^3 + 12 when n=2
Answers
Answer:
20
Step-by-step explanation:
2^3=8
8+12=20
I hope this helps.
You lay a ladder against a building window. The building makes a right angle to the ground. The building is 30 feet tall, and the distance from the bottom of the building to the bottom of the ladder is 12 feet. What is the distance from the bottom of the ladder to the window?
Answers
Answer:
32.3 feet.
Step-by-step explanation:
I attached a picture to show u the work!! sorry I spelled pythagorean theorem
What is 3 to the sixth power times 3 there is a picture please help worth 12 pts.!!!!!
Answers
Answer:
2187 ( 3 to the 7th)
Step-by-step explanation:
3 to the 6th= 729
729 x 3 = 2187
Please help!! Thank you
Answers
D. Is wrong
Hope this helps
x²-x is divisible by 2
Answers
Answer:
3
Step-by-step explanation:
2²-2÷2
4-2÷2
=3
hope this helps