Step-by-step explanation:
first of all, all answer options are basically wrong, because an area is always measured in units² (and not just in units).
the blue colored area is the area of the whole square minus the area of the circle.
the side length of the square is 2 times the radius of the circle (the diameter) : 2×12 = 24 units.
so, the area of the square is
24² = 576 units²
the are of the circle is
pi×r² = pi×12² = 144pi units²
so, the blue area is
576 - 144pi = 123.6106579... ≈ 124 units²
therefore, D is the right answer.
A pane of antique glass has dimensions of 30cm x 56cm. If the glass sells for 25 cents per square cm, what is the cost of the pane?
Given :-
Dimensions of pane is 30cm×56cmCost of pane per square cm is 25 centsTo find :-
Cost of the paneSolution:-
Hey mate , to find the total cost of pane we have to find the area of pane and multiply it by 25 cents
Area of pane :- 30×56cm²
Area of pane :- 1680cm²
Cost of pane :- 1860×25 cents
Cost of pane :- 42000 cents or 420$
Make x the subject to this formula 4x + 3y =2
4x+3y=2
4x=2-3y
x= 2/4 - 3/4 y
x= 1/2- 3/4y
(x= 0.5 - 0.75y)
[tex]\boxed{ \ \sf x=\dfrac{2-3y}{4} \ }[/tex]
Explanation:[Given]
[tex]\sf \rightarrow 4x + 3y =2[/tex]
[Exchange Sides]
[tex]\sf \rightarrow 4x =2-3y[/tex]
[Divide both sides by 4]
[tex]\sf \rightarrow \dfrac{4x}{4} =\dfrac{2-3y}{4}[/tex]
[Simplify]
[tex]\sf \rightarrow x=\dfrac{2-3y}{4}[/tex]
can someone help me plss the deadline is tmrw
Answer:
73.77 ft²
Step-by-step explanation:
Area of circle - area of square
= πr² - (length × width)
= (3.14 × 8.1²) - (11.5 × 11.5)
= 73.7654
≈ 73.77 ft²
hope this helps =)
Answers:
Circle area = 206.02 square feetUnshaded area = 132.25 square feetShaded area = 73.77 square feetThe "square feet" portions are already handled by your teacher, so you'll just type in the numbers only.
======================================================
Explanation:
The formula for the area of a circle is
A = pi*r^2
We replace pi with its approximation 3.14, and plug in the radius r = 8.1 to get the following approximate area:
A = 3.14*(8.1)^2
A = 206.0154
A = 206.02 which is the answer to the first box
--------------------------
The unshaded region is a square of side length 11.5 ft
Its area must be (11.5)^2 = 132.25 square feet
--------------------------
Subtract the results of the previous boxes to get the shaded area.
206.02 - 132.25 = 73.77
It costs $10 to enter a theme park and $2 for each ticket, t. Which equation represents the total cost, c, of going to the theme park?
What is the surface area of this right prism?
Enter your answer in the box.
cm²
NEED HELP ASAP!!! 20 POINTS!!!!
Answer:
Since the 'base' and 'top' of any prism have the same shape, the surface area can be found by
surface area of prism = 2 * area of base + perimeter of base * H
So for the rectangular prism in your example..
surface area = 2LW + 2(L+W)H
= 2 * 7 * 4 + 2*(7+4)*5
= 56 + 2 * 11 * 5
= 56 +110
= 166 sq cm
Hope this helps
Malachy rolls a fair dice 168 times.
How many times would Malachy expect to roll a number greater than 5?
Answer:
28 times
Step-by-step explanation:
On a fair die, the probability of rolling a 6, the only number greater than 5, is 1/6. So in 168 rolls of this die, Malachy can expect a 6 on 1/6 × 168, or 28 times.
How do you find x in this question?
Answer:
x = 70°
Step-by-step explanation:
The relevant relations are ...
base angles of an isosceles triangle are congruentconsecutive interior angles where parallel lines meet a transversal are supplementary__
Triangle OBQ is isosceles, so angle OQB = 40°. Triangle OPQ is isosceles, so angle OQP is x. The sum of angles OQB and OQP is angle BQP, which is supplementary to angle OPQ. That is, ...
(40° +x) +x = 180°
2x = 140° . . . . . . subtract 40°
x = 70° . . . . . . divide by 2
_____
There are many ways to find x. The one shown here is just one of them. In general, right triangles, isosceles triangles, symmetry, inscribed angles can all be used to write relations involving the known angles and x.
HELp!!! 100 POINTS.
What is the formula of g in terms of f?
Answer: C
Step-by-step explanation: bcuz
Answer:
[tex]\textsf{A)} \quad f\left(-\dfrac{1}{2}x\right)[/tex]
Step-by-step explanation:
From observation of the given graph, function f has been reflected across the y-axis.
When a graph is reflected across the y-axis, the y-coordinate stays the same while the x-coordinate is negated.
Therefore, replace y = f(x) with y = f(-x), so:
[tex]\implies g(x) = f(-x)[/tex]
It appears that the graph has also been stretched parallel to the x-axis.
When a graph is stretched parallel to the x-axis the x is multiplied by a constant. If the constant is greater than 1, the graph is compressed. If the constant is greater than zero and less than 1, the graph is stretched.
As the graph has been stretched, the constant is 0 < c < 1, so:
[tex]\implies g(x)=f\left(-\dfrac{1}{2}x\right)[/tex]
A bag contains 8 black marbles, 16 white marbles, 14 red marbles, and 10 green marbles. A marble is drawn at random from the bag. What is the probability that the marble drawn will not be white? 1/3. 2/3. 3/4. 15/16
Answer:
2/3
Step-by-step explanation:
total marbles is (8 black+ 16 white + 14 red +10 green) = 48
no white cmarbles ( 8+14+10) = 32
32/ 48 = 2/3
32/16= 248/16 =3
Find the 58" term of the following arithmetic sequence.
7, 15, 23, 31, …
See the file attached!!
Hope it helps:)
What is the area of this figure?
Please help
Area of centre rectangle
(8+6+2)(7)(16)(7)112mm²Area of right rectangle
6(3)18mm²Area of triangle
1/2(16-12)(8)4(4)16mm²Total
16+18+112146mm²Find the surface area to the nearest square foot.
how to do this?
Let X and Y be the following sets:
X = {5, 6, 10, 12, 15, 18}
Y = {6, 10, 12, 15)
Which of the following is the set X UY?
Answer:
i think the answer is X, because the elements of both X and Y are in X
Which part of a story shows how the climax affected the characters?
Falling action
Rising action
Exposition
Resolution
Answer:
Falling action
Step-by-step explanation:
Falling action in a basic plot structure is the events that happen after the climax and before the resolution. This part of your story is often used to show the consequences of the climax and how it affects the characters.
Help please
worth 14 points
Answer:
Ok I can walk you through if you comment the questions ok?
Step-by-step explanation:
Trust me :-)
Answer:
1. obtuse
2.straight
3.right
4. acute
5. <EAF
6. <DAF
7. <BAF
8. They are perpendicular to each other
I need help with this problem, Iceman drove at an average speed of 50 mi/h from her home in Seattle to visit her sister in St. Louis. She stayed in St. Louis for 15 hours, and on the trip back averaged 35 mi/h. She returned home 42 hours after leaving. How many miles is Seattle from St. Louis?
To solve this problem, we have to figure out the time spent travelling and then use the speed-distance-time equation to find the distance between the two places. The distance between Seattle and St. Louis is 2295 miles.
How many miles is Seattle from St. LouisTo calculate the miles or distance between Seattle and St. Louis, we have to take into consideration that out of the 42 hours she spent in her journey, she stayed 15 hours over at St. Louis.
[tex]42 - 15 = 27[/tex]
She spent 27 hours travelling.
Her speed in the first journey was 50mi/h and her speed in the second journey was 35mi/h.
This implies she was faster in her first journey compared to her second journey.
Data;
time = 27 hoursspeed = 85mi/h[tex]speed = \frac{distance}{time} \\distance = speed * time[/tex]
Let's substitute the values
[tex]distance = (50 + 35) * 27 = 2295mi[/tex]
The distance between Seattle and St. Louis is 2295 miles
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(b) A square has a perimeter of 80 ft. What is the length of each side?
Answer:
20 ft
Step-by-step explanation:
There are 4 equal sides to a square so one side is 80/4 = 20 ft
if the area of a square is 32f^2 how long is its diagonals?
PLEASE HELP IM SO STUCK ON THIS!!!!!
Based on the number of ways to answer the multiple choice questions and the number of ways to answer true or false, the number of ways to answer the test is 8,192 ways.
How many ways can the test be answered?This can be found as:
= Total number of ways to answer multiple choice questions + Total ways to answer true or false questions
Solving gives:
= (4 x 4 x 4) x (2 x2 x2 x 2 x 2 x 2 x 2)
= 64 x 128
= 8,192 ways
Find out more on the number of ways to do things at https://brainly.com/question/4658834.
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PLEASE HELP SOLVE GEOMETRY PLEASE HELP SOLVE
The figure below shows parallelograms ABCE, PQRS, and TNLM on a coordinate plane.
10
9
8
7
E
R
M
s
0
N
А
B
-10
.
The coordinates and relations between the points are:
· A(-3,-3); B(5,-3); C(5,5); E(-3,5)
Points S, P, Q, and R are midpoints of ABCE
T,N, Q, and M are midpoints of PQRS
Write the equation of line M L. Show your work.
.
From the graph, the coordinate of M and L will be (-1, 3) and (3, 3). Then the equation of the line ML will be y - 3 = 0.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
The figure below shows parallelograms ABCE, PQRS, and TNLM on a coordinate plane.
The coordinates and relations between the points are:
A(-3,-3), B(5,-3), C(5,5), and E(-3,5)
Then the equation of the line ML will be
From the graph, the coordinate of M will be (-1, 3) and the coordinate of L will be (3, 3).
Then the equation will be
[tex]\rm y- 3 = \dfrac{3-3}{3+1} (x - 3)\\\\y - 3 = 0[/tex]
Then the equation of the line ML will be y - 3 = 0.
More about the coordinate geometry link is given below.
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Reason abstractly. A square has vertices at (3,8),(3,2),(9,8), and (9,2). Determine the area.
Answer:
The area is 9 units^2
Step-by-step explanation:
A box is filled with 5red crayons, 9blue crayons, and 6yellow crayons.
A crayon is chosen at random from the box. Find the probability that it is a red or a blue crayon.
Write your answer as a fraction in the simplest form.
Answer:
[tex]\frac{7}{10}[/tex]
Step-by-step explanation:
P(R or B)=[tex]\frac{5}{20}+\frac{9}{20}[/tex]
=[tex]\frac{7}{10}[/tex]
Which of the following function pairs are inverses?
Answer:
The answer is D.
Step-by-step explanation:
f(x) = 5x -3
y = 5x - 3
Switch y and x to find the inverse
x = 5y - 3
Solve for y.
x + 3 = 5y
y = (x+3)/5
g(x) = (x+3)/5
What is the volume of a cylinder, in cubic centimeters, with a height of 7 centimeters and a base diameter of 18 centimeters? Round to the nearest tenths place
Answer:
the answer is 126 cm
sana makatulong
Solve this
4 ∙ 7 1/2 ∙ 1 3/5
Step-by-step explanation:
[tex] = 7 \frac{1}{2} .1 \frac{3}{5} [/tex]
[tex] = \frac{ \red{\cancel{15}}}{ \blue{ \cancel{2}}} . \frac{ \blue{\cancel{8}}}{ \red{\cancel{5}}} [/tex]
[tex] = \frac{3}{1} . \frac{4}{1} [/tex]
[tex] = 12[/tex]
[tex] \: [/tex]
help me this is very hard
Answer:
B. 60
Step-by-step explanation:
1. take the square root of 64
2. multiply 8*10 and 5*4
3. subtract
Square root of 64 is 8 so,
10*8 - 5*4
80 - 20 =
60
Can you guys help me please :(
Answer:
circumference formula = πd or 2πr .. they are the same thing
G is the answer
This is very confusing to me
Answer:
the system is inconsistent
also ,Check the attached graph
Step-by-step explanation:
let D₁ be the line of equation 3x - 9y = 36
D₂ be the line of equation 2x - 6y = -8
In order to graph D₁ we need to find two point shot that lie on it.
→ If x = 0 , 3(0) - 9y = 36 ⇔ -9y = 36 ⇔ y = -4
Then the point C(0 , -4) lies on D₁
→ If x = 3 , 3(3) - 9y = 36 ⇔ -9y = 27 ⇔ y = -3
Then the point D(3 , -3) lies on D₁
Therefore,
D₁ is the line that connects the points C and D
Similarly,We can prove that the point she A(-4 , 0) and B(-1 , 1) lie on D₂
Then D₂ = (AB)
After graphing, we notice that D₁ and D₂ are parallel and they don’t have any point in common.
Therefore ,we say that’s the system is inconsistent
A sequence has a common second difference of 4 between terms. The first two terms are 3 and 12. Write down the 3rd and 4th terms.
The first two terms of the sequence are 3 and 12 and the 3rd and 4th terms are 25 and 42.
3rd and 4th terms from second level differenceThe 3rd and 4th terms of the sequence is determined from second level difference as shown below;
let the first term = asecond term = bthird term = cfourth term = d(c - b) - (b - a) = 4 ----(1)
(d - c) - (c - b) = 4 ---- (2)
from (1);
(c - 12) - (12 - 3) = 4
(c - 12) - (9) = 4
c - 21 = 4
c = 25
from (2);
(d - 25) - (25 - 12) = 4
d - 38 = 4
d = 42
The sequence = 3, 12, 25, 42
check
first difference = (12 - 3), (25-12), (42-25) = 9, 13, 17
second difference = (13 - 9), (17 - 13) = 4, 4
Thus, the first two terms of the sequence are 3 and 12 and the 3rd and 4th terms are 25 and 42.
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