This composite figure is made up of three simpler shapes. What is the approximate area of the figure? Use 3.14 for pi.
A. 33.56 square inches
B. 33.28 square inches
C. 27.28 square inches
D. 39.56 square inches
Answers
Check the picture below.
[tex]\stackrel{\textit{\Large Areas}}{\stackrel{rectangle}{(5)(3)}~~ + ~~\stackrel{triangle}{\cfrac{1}{2}(4)(3)}~~ + ~~\stackrel{semi-circle}{\cfrac{1}{2}\pi (2)^2}}\implies 15~~ + ~~6~~ + ~~2\pi \stackrel{using~\pi =3.14}{\implies 27.28}[/tex]
Related Questions
8. Jenny is getting dressed for school,
• She has 2 pairs of black pants, 1 pair of brown pants, and 2 pairs of blue pants in her
closet
. She also has 2 pink T-shirts and blue T-shirts in her closet.
• Without looking, Jonny pulls out one pair of pants and one T-shirt from her closet.
What is the probability that Jenny pulls out a pair of black pants and a blue T-shirt?
Answers
Answer:
[tex]\huge\boxed{\bf\: Probability = \frac{4}{9}}[/tex]
Step-by-step explanation:
According to the given information,
Pairs of black pants = 2Pair of brown pants = 1Pairs of blue pants = 2Then, total pairs of pants = 2 + 1 + 2 = 5
Similarly,
Pink T-shirts = 2Blue T-shirts = 2Then, total number of T-shirts = 4
This gives us the total nunber of clothing articles with Jenny, i.e.,
Total pairs of pants + Total number of T-shirts
= 5 + 4
= 9
Now, the probability of pulling out a pair of black pants & a blue T-shirt will be:
Total pairs of black pants + Total nunber of blue T-shirts/Total clothing articles
= 2 + 2 / 9
= 4/9
[tex]\rule{150}{2}[/tex]
HELP WILL GIVE BRAINLEST QUICKKK SP and SR are tangent to circle Q. If SP = 10x - 18 and SR = 2x + 6, find x.
A. 2
B. -1
C. 3
D. -3
Answers
Answer:
C.3
Step-by-step explanation:
SP and SR are tangent to circle Q.
-> SP = SR
-> 10x - 18 = 2x + 6
-> 10x - 2x = 18 + 6
-> 8x = 24
-> x = 24/8
-> x = 3
Answer:
C. 3
Step-by-step explanation:
HELP I NEED THIS FOR TODAY!! 100 points
Two water balloons were launched into the air at different moments and collided. The water balloons were modeled by the quadratic functions: y = −3x2 + 24x + 3 and y = −4x2 + 25x + 15, where y represents the height in meters and x represents the time in seconds after the launch. What is the time, in seconds, that the balloons collided at the highest point?
3.25 seconds
3.50 seconds
3.75 seconds
4.00 seconds
What are the solutions to the following system of equations?
x − y = 6
y = x2 −6
(0, −6) and (7, 1)
(0, −6) and (1, −5)
(0, −6) and (9, 3)
(0, −6) and (−9, 3)
Based on the graphs of the equations y = x + 7 and y = x2 – 3x + 7, the solutions are located at points:
(4, 11) and (0, 7)
(4, 11) and (–7, 0)
(–7, 0) and (1.5, 4.75)
(1.5, 4.75) and (0, 7)
Which system of equations is represented by the graph?
Graph of a quadratic function intersecting a linear function at point 2 comma 0.
y = x2 + 3x + 2
x + y = 2
y = x2 − 3x + 2
x − y = 2
y = x2 − 3x + 2
x − y = 3
y = x2 − 3x + 2
x + y = 3
Answers
The solutions of the given equations are given by equating the
variables to gives;
First part; 4.00 secondsSecond part; (0, -6) and (1, -5)Third part; (4, 11) and (0, 7)Fourth part: y = x² + 3·x + 2; x + y = 2How can the (common) solution be found?First part;
The given functions are;
y = -3·x² + 24·x + 3, and y = -4·x² + 25·x + 15
When the balloons collided, we have;
The height are equal, which gives;
y = y
-3·x² + 24·x + 3 = -4·x² + 25·x + 15
-3·x² + 24·x + 3 - (-4·x² + 25·x + 15) = x² - x - 12 = 0
Which gives;
x² - x - 12 = (x - 4) × (x + 3) = 0
x = 4, and x = -3
The time at which the balloon collide at the highest point is therefore;
At the time, x = 4.00 secondsSecond part;
The given system of equations are;
x - y = 6
y = x² - 6
y = x - 6
Which gives;
x - 6 = x² - 6
x = x²
Which gives;
x = 0 or x = 1
Similarly, we have;
x = y + 6
Which gives;
y = (y + 6)² - 6
y² + 11·y + 30 = 0
(y + 5)·(y + 6) = 0
Which gives;
y = -5, or y = -6
When y = -5, we have; x = -5 + 6 = 1
The solution are therefore;
(0, -6) and (1, -5)Third part;
The equations are; y = x + 7 and y = x² - 3·x + 7
At the solution, the u-values are equal, which gives;
y = y
x + 7 = x² - 3·x + 7
x² - 3·x + 7 - (x + 7) = 0
x² - 4·x = 0
x·(x - 4) = 0
x = 4, or x = 0
When x = 4, y = 4 + 7 = 11
When x = 0, y = 0 + 7 = 7
The solutions are located at points;
(4, 11) and (0, 7)Fourth part;
Given that the point of intersection of the line and the quadratic function
is the point (2, 0), we have;
On the linear function, when y = 0, x = 2
The possible linear function functions is therefore;
x + y = 2
From the quadratic function that accompanies the above linear function, we have;
y = x² + 3·x + 2
When x = 0, y = 0² + 3×0 + 2 = 2
Therefore;
The correct option is; y = x² + 3·x + 2, and x + y = 2Learn more about the solutions of equations here:
https://brainly.com/question/24400554
What is the general shape of the data? skewed symmetric constant many peaks and valleys
Answers
Answer:
Skewed is the correct answer!
Step-by-step explanation:
~Hope this helps! :)
A graph is a way to represent a lot of data in a visual format. The shape of this graph is best described as skewed.
What is a graph?A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
here, we have,
A.) A symmetric graph is a graph in which the left half of the graph looks like the mirror image of the right half of the graph. Since the graph has no symmetry it is not a symmetric graph.
B.) Skewness is a distortion or asymmetry in a set of data that deviates from the symmetrical bell curve, or normal distribution. The curve is said to be skewed if it is displaced to the left or right. As we can see that the shape of the graph is the left tilted bell shape.
C.) A constant graph is a graph in which the value of each bar lies on the same horizontal value. Since the shape of the graph is not a horizontal line, it is not a constant shape graph.
D.) When a graph has Peak and Valleys in a graph, the values of the graph are different from each other, therefore, forming peaks and valleys in a graph, which looks like a spline. Since the value of the graph is decreasing towards the right side of the graph. Therefore, the graph of the shape is not of a peak and valley.
Thus, the shape of this graph is best described as skewed.
Learn more about Graph:
brainly.com/question/14375099
#SPJ7
A cup of tea costs $3 at a local cafe. Alan and his wife, Patty, have a coupon for $1 off their order. Alan says the expression 3t – 1 represents the cost for t cups of tea. Patty says the expression 3t + (–1) represents the cost. Are their expressions equivalent? Explain
Answers
Answer
Step-by-step explanation:
how do I delete this answer
Answer: YAS
Step-by-step explanation:
help please im in class rn
Answers
Answer:
17 is the total perimeter of the shape on the perimeter grid
PLS HELP FAST
A plane in which the coordinates of a point are its distances from two intersecting perpendicular lines called axes.
Which term is defined in the above statement?
Question 6 options:
Air Plane
Coordinate Plane
Quadrant
Ordered Pair
Answers
Answer:
Coordinate plain
Step-by-step explanation:
airplane... i think you know what that is, and quadrant is the squares sectored off by a coordinate plane.
F (x) = -x f(0) = ..............
Find value of x
Answers
Answer:
0
Step-by-step explanation:
Its equal to something multiplied by 0 so it is 0
What is the earliest known reference to pi in history.
Answers
Answer:
im sorry i dont know what is the history
Mr. Ingle purchased a Prius for $42,500. If the car depreciates at a rate of 10%, what is
the value of the car after 7 years?
Answers
Based on the cost of Mr. Ingle's car and the depreciation rate, the value after 7 years will be $20,327.62.
What would be the value after 7 years?This can be found by the formula:
= Cost of car x ( 1 - depreciation rate) ^ number of years given
Solving gives:
= 42,500 x (1 - 10%)⁷
= 42,500 x 0.4782969
= $20,327.62
Find out more on depreciation at https://brainly.com/question/25297296.
PLEASE HELP ME ((UNIT RATES)) 20 points again, brainliest will be given.
Answers
I think the answer is A sorry if it's wrong
Flag question: Question 1
Question 14 pts
Is this ordered pair a solution for the equation?
(4, 11)
y = x + 7
Group of answer choices
True
False
Answers
answer
False
the x and y of Y=x+7 is x=-7 and y=7 not 100% sure pls someone recheck
I need to find the answer for 21.60÷1.35
Answers
Answer: 16
Step-by-step explanation: 21.60 / 1.35 = 16
The result of the division 21.60÷1.35 is: 16.
To find the answer for 21.60 ÷ 1.35, you can perform the division operation:
21.60 ÷ 1.35
Divide 21.60 by 1.35:
21.60 ÷ 1.35 ≈ 16
The result of 21.60 ÷ 1.35 is approximately 16.
When dividing decimals, it's essential to align the decimal points and then perform the division as you would with whole numbers.
In this case, dividing 21.60 by 1.35 gives us an approximate quotient of 16.
Hence, The result of the division 21.60÷1.35 is: 16.
To learn more on division click:
brainly.com/question/21416852
#SPJ6
4 consecutive integers add up to 2 what are the integers
Answers
Answer:
-1,0,1,2
Step-by-step explanation:
-1 + 0 = -1
-1 + 1 = 0
0+ 2 = 2
Have a great day :)
pls mark brainliest
Answer:
-1, 0, 1, and 2
Step-by-step explanation:
Those are the 4 consecutive integers.
Hope it helps!
Ava-
The area of the rectangle above is____square units.
Answers
Answer:
66 units²
Step-by-step explanation:
Area of Rectangle = [tex]l * w[/tex]. We're given the length as 11 units and the width as 6 units.
[tex]11*6[/tex] [tex]66[/tex]Therefore, the answer is 66 units².
The distance between AB is 24 units, Endpoint A is (-5.8) and B(1,y) is A?
Determine the y coordinates of B.
Answers
Answer:
y=2.89
explanation
square root of 24=square root of (6)^2+(y-8)^2
4.89=6+y-8
4.89-2=y
2.89=y
Juan is clearing land in the shape of a circle to plant a new tree. The diameter of the space he needs to clear is 52 inches. By midday, he has cleared a sector of the land cut off by a central angle of 140 . What is the arc length and the area of land he has cleared by midday?
Answers
The central angle of 140 degrees illustrates the degree measure of the arc
The arc length cleared is 63.54 inches and the area of the land cleared is 826.00 square inches
How to determine the arc lengthThe given parameters are:
Central angle = 140 degrees
Diameter = 52 inches
The length of the arc is then calculated s:
[tex]L = \frac{\theta}{360} * \pi d[/tex]
Substitute known values in the equation
[tex]L = \frac{140}{360} * 3.142 * 52[/tex]
Evaluate the products
[tex]L = \frac{22873.76}{360}[/tex]
Evaluate the quotient
[tex]L = 63.54[/tex]
Hence, the arc length cleared is 63.54 inches
How to determine the area of the land clearedThe area is calculated s:
[tex]A = \frac{\theta}{360} * \pi (d/2)^2[/tex]
Substitute known values in the equation
[tex]A = \frac{140}{360} * 3.142 * (52/2)^2[/tex]
Evaluate the products
[tex]A = \frac{297358.88}{360}[/tex]
Evaluate the quotient
[tex]A = 826.00[/tex]
Hence, the area of the land cleared is 826.00 square inches
Read more about arc lengths at:
https://brainly.com/question/2005046
Answer:
64 and 826
Step-by-step explanation:
The land Juan has cleared by midday has an arc length of about 64 inches and an area of about 826 square inches.
A triangle has two angles that measure 85 and 23. Which has to be the measure of the third angle?
95
∘
72
∘
157
∘
Please help me please please please
Answers
Step-by-step explanation:
Given :-A triangle have two angles that measures 85° and 23°.To Find :-Measure of the third angle.Solution :-Let the measure of the third angle of the triangle be x.
As we know that,
The sum of all three sides of a triangle is 180° which is the angle sum property of triangle.Therefore,
[tex] \sf \longrightarrow {\angle{A}\ +\ \angle{B}\ +\ \angle{C}\ =\ 180^{\circ}} [/tex]
[tex] \sf \longrightarrow {85^{\circ}\ +\ 23^{\circ}\ +\ x\ =\ 180^{\circ}} [/tex]
[tex] \sf \longrightarrow {108^{\circ}\ +\ x\ =\ 180^{\circ}} [/tex]
[tex] \sf \longrightarrow {x\ =\ 180^{\circ}\ -\ 108^{\circ}} [/tex]
[tex] \bf \longrightarrow {\underline{x\ =\ 72^{\circ}}}\ \bigstar [/tex]
∴ Hence, the measure of the third angle of the triangle is 72°.
Classify each pair of numbered angles.
Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used more than once.
Answers
Answer:
1 and 2 are vertical
3 and 4 adjacent
12(x+3y-6z)
please expand the answer!!!!
Answers
6. [tex]4(-8a-5b+3) = -32a-20b+12 = 12-32a-20b\\[/tex]
8. [tex]12(x+3y-6z) = 12x+36y-72z[/tex]
Hope that helped!
At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress. Silk is $16.90 per yard and cotton is $4 per yard.
Let 'x' represent the number of yards of silk and 'y' represent the number of yards of cotton.
Here is a system of equations that represent the constraints in the situation.
x+y=4.25
16.90x+4y=36.35
Find the solution to the system of equations. You may use any method you want, but you must explain your reasoning and methods fully.
Answers
Answer:
Step-by-step explanation:
The yards of silk bought is 1.49 yards and the yard of cotton bought is 2.76 yards.
The two equations are known as simultaneous equation. They would be solved using elimination method.
x + y = 4.25 equation 1
16.90x + 4y = 36.25 equation 2
where:
x = yards of silk bought
y = yards of cotton bought
In order to determine the value of x, multiply equation 1 by 4.
4x + 4y = 17 equation 3
Subtract equation 3 from 2
19.25 = 12.90x
Divide both sides of the equation by 12.90
x = 1.49 yards
In order to determine the value of y, substitute for x in equation 1
1.49 + y = 4.25
y = 4.25 - 1.49
y = 2.76 yards
Answer:
Step-by-step explanation:
The yards of silk bought is 1.49 yards and the yard of cotton bought is 2.76 yards.
The two equations are known as simultaneous equation. They would be solved using elimination method.
x + y = 4.25 equation 1
16.90x + 4y = 36.25 equation 2
where:
x = yards of silk bought
y = yards of cotton bought
In order to determine the value of x, multiply equation 1 by 4.
4x + 4y = 17 equation 3
Subtract equation 3 from 2
19.25 = 12.90x
Divide both sides of the equation by 12.90
x = 1.49 yards
What are all the real zeros of y=(x-20)^2 +5
Please show step by step I'm so lost!!
Answers
Answer:
No real zeros for the function.
Explanation:
zero of a function f, if f(r) = 0solve:
[tex]\sf y=(x-20)^2 +5[/tex]
so when f(y) = 0
[tex]\hookrightarrow \sf (x-20)^2 +5 = 0[/tex]
[tex]\hookrightarrow \sf (x-20)^2 = -5[/tex]
[tex]\hookrightarrow \sf (x-20) = \sqrt{-5}[/tex]
[tex]\hookrightarrow \sf x = \pm \sqrt{-5} +20[/tex]
[tex]\hookrightarrow \sf x = \sqrt{-5} +20, \ \sf x = -\sqrt{-5} +20[/tex]
check:
[tex]\hookrightarrow f \sf (\sqrt{-5} +20) = Not \ applicable[/tex], [tex]f \sf (-\sqrt{-5} +20) = Not \ applicable[/tex]
Answer:
No real zeros.
Step-by-step explanation:
Given... y = [tex](x-20)^{2} +5[/tex]
Since above equation has no real real value, there are no zeros.
But complex zeros are:
[tex](x-20)^{2} +5=0[/tex]
[tex](x-20)^{2} =-5[/tex]
I was late so mark the person above me Brainliest!
Round 83,461 to the nearest thousand.
Answers
Answer:
See below.
Step-by-step explanation:
83,461
/\
This is the thousand place.
5 and above is rounded up, 4 and below is rounded down.
83,000 is the answer.
-hope it helps
HELP MEEEEE IM DESPERATE 30 POINTS!!!!!!
find x
Answers
Answer:
D
Step-by-step explanation:
the measure of a secant- tangent angle is half the difference of the intercepted arcs, then
[tex]\frac{1}{2}[/tex] (154 - (12x + 2) ) = 6x + 4 ( multiply both sides by 2 to clear the fraction )
154 - 12x - 2 = 12x + 8 , that is
152 - 12x = 12x + 8 ( subtract 12x from both sides )
152 - 24x = 8 ( subtract 152 from both sides )
- 24x = - 144 ( divide both sides by - 24 )
x = 6
A dress is marked 30% off. The original price was $80. How much is saved?
Answers
Multiply the original price by the percentage off:
80 x 0.30 = 24.00
they saved $24.00
I need help please I’ll give u a brainliest
Answers
Answer:
k=4
Step-by-step explanation:
Hope this helps!
Plssss help if you know how to do it Plss
Answers
yes they are similar, one is 3/4ths of the other for all dimensions if you match it up right
If 1 serving of stir fry uses 3/5 cup of rice , how many cups are in 12 servings
Answers
Answer:
36/5 cups of rice.
Step-by-step explanation:
12x3/5 is the equation. 36/5 is the answer, which is 7 1/5 or 36/5
write an inequality that shows that vin total savings for the month are at least $100
Answers
Answer:
v >_100
Step-by-step explanation:
there is a line underneath the sign it won't let me write that so I just wanted to let u know.
14. Danny works part-time at Tom's Toy Store. He
worked 84 hours in May and June. Danny worked
one-third as many hours in May as in June.
How many hours did he work in each month?
Answers
Answer:
21 hours in May, 63 hours in JuneStep-by-step explanation:
Set up equationsm - May, j - Junem + j = 84m = 1/3jSolve by substitution, fin the value of j1/3j + j = 844/3j = 84j = 84*3/4j = 63Find mm + 63 = 84m = 84 - 63m = 21May be y and June be x
x+y=84y=1/3xNow
Put y from (2) in eq(1)
x+1/3x=843x+x)3=844x/3=844x=3(84)x=3(21)x=63Find y
y=1/3(63)y=21