A window has the shape of a rectangle with a semi circle at the top. Find the approximate area of the window using the dimensions shown.
2ft by 4ft
Answers
Area of a circle = π*r²
Looking at the rectangle, the diameter for the circle is 2 ft. Since we need the radius though, divide the diameter by 2 to get the radius.
r = 1
A = π * 1²
A = π * 1
A = π
But since it's a semicircle, you need to divide that area by 2.
3.14/2 = 1.57
The area of the semi-circle is 1.57.
Area of a rectangle = lw
l = 2
w = 4
A = 2 * 4
A = 8
The area of the rectangle is 8.
Now add those together to get the area of the entire figure.
1.57 + 8 = 9.57
The figure is about 9.57 square feet.
The approximate area of the window is 9.57 ft²
The figure is a composite shape. Therefore, the area can be described as follows:
Area of the composite shape:area = area of semi circle + rectanglearea of a rectangle = lw = 4 × 2 = 8 ft²
area of the semi circle = 1 / 2 πr² = 1 / 2 × π × 1² = 1.57 ft²
Therefore,
area of the window = 8 + 1.57 = 9.57 ft²
learn more on area of a composite shape here:https://brainly.com/question/15266169?referrer=searchResults
Related Questions
sum of 6 divided by a number and that number divided by 6
Answers
6 / x + x / 6 =
= ( 6 * 6 ) + ( x * x ) / 6 x =
= ( 36 + x² ) / ( 6 x )
Answer: ( 36 + x² ) ( 6 x )
I need help with this question please
Answers
A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?
Answers
Using Pythagorean inequalities, determine which set of the given three sides produces an obtuse triangle. A. 4, 5, 6 B. 5, 13, 19 C. 12, 14, 25 D. 21, 72, 75
Answers
Answer:
Obtuse triangle sets
B. 5, 13, 19
C. 12, 14, 25
Step-by-step explanation:
The Pythagorean inequality for the sides of the triangle to be an obtuse:
[tex]a^2 + b^2 < c^2[/tex], where a, b and c are the sides of the triangle.
The other Pythagorean inequalities are:
[tex]a^2 + b^2 > c^2[/tex], for Acute triangle
[tex]a^2 + b^2 = c^2[/tex], for Right triangle
Now let's check which set of the given sets satisfy the above inequality.
Option A
4, 5, 6
Here a = 4, b = 5 and c = 6
[tex]4^2 + 5^2 < 6^2\\16 + 25 < 36\\41 < 36\\[/tex]
Which is not true.
Here [tex]a^2 + b^2 > c^2[/tex], So this is Acute triangle
Option B
5, 13, 19
Here a = 5, b = 13 and c = 19
[tex]5^2 + 13^2 < 19^2\\25 + 169 < 361\\194 < 361\\[/tex]
Which is true. This is Obtuse triangle
Option C
Here a = 12, b = 14 and c = 25
[tex]12^2 + 14^2 < 25^2\\144 + 196 < 625\\340 < 625\\[/tex]
Which is true. This is obtuse triangle.
Option D
Here a = 21, b = 72 and c = 75
[tex]21^2 + 72^2 < 75^2\\441 + 5184 < 5625\\5625 < 5625\\[/tex]
Which is not true for obtuse.
Here [tex]a^2 + b^2 = c^2[/tex], for Right triangle
So this is Right triangle.
Answer:
c
Step-by-step explanation:
just did it
A cabinet maker buys 3.5 liters of oak varnish. The varnish cost $4.95 per liter. What is the total cost of 3.5 L of varnish ?
Answers
But, because we are dealing with units of money, its would be rounded to $17.33. :)
A company manufactures 295 toy cars each day how many toy cars does the company manufacture and 34 days
Answers
kathi starts with a number. she adds 3 to her number, then doubles the result. finally, she subtracts 7. if she ended with 9 what number did ahe start with
Answers
2(x+3)-7=9
Distribute the 2
2(x)+2(3) -7=9
2x+6-7=9
Combine like terms
2x-1=9
Add one to both sides
2x-1+1=9+1
2x=10
Divide both sides by two to isolate the variable.
2x/2=10/2
x=m
5+3=8
8+8=16
16-7=9
What are the next letters? BE GJ LO QT
Answers
The spaces represent one letter and between each pair 2 letters are skipped.
The table below shows the number of marbles of different colors in a bag:
Marble Experiment
Color of
Marbles Number of
Marbles
Red
5
White
8
Black
2
Deja draws a marble from the bag randomly without looking. She then draws another marble from the bag without replacing the first one. Which expression shows the probability of drawing red marbles in both the trials? (5 points)
5 over 15 multiplied by 4 over 14
5 over 15 multiplied by 4 over 15
5 over 15 added to 4 over 14
5 over 15 added to 4 over 15
Answers
Favorable outcomes={5 Red}
1) P(drawing 1st Red) = 5/15
2) P(drawing ANOTHER RED) = 4/14 (because one Red already drawn and NOT replaced, so the remaining Red are now 4 and the new sample space is now 14, since 1 red already drawn), Hence
P( 1 Red AND another Red) = (5/15).(4/15) or:
"5 over 15 multiplied by 4 over 14"
The correct answer is: 5 over 15 multiplied by 4 over 14
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Given this, Deja draws a marble from the bag randomly without looking.
The total number of marbles in the bag is:
5 + 8 + 2 = 15
Deja draws a marble from the bag randomly without looking. Therefore, the probability of drawing a red marble in the first trial is:
P(red on first draw) = 5/15
Deja draws another marble from the bag without replacing the first one. Therefore,
The probability of drawing a red marble in the second trial, given that she drew a red marble in the first trial, is:
P(red on second draw | red on first draw) = 4/14
We multiply these probabilities because the events are independent (i.e., the outcome of the first draw does not affect the outcome of the second draw).
Therefore, the expression that shows the probability of drawing red marbles in both trials is:
= P(red on the first draw) × P(red on second draw | red on the first draw)
= (5/15) × (4/14) = 4/63
So the correct answer is: 5 over 15 multiplied by 4 over 14.
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ3
(I really need help!!!)
x + 14 + (-x)
Answers
ken had a number of colored marbles in a bag. 1/4 of the marbles were red, 2/3 of the marbles were blue, and the rest were yellow. Given that there were 120 red and yellow marbles all together, how many marbles were there in the bag
Answers
Blue = 2/3
Yellow= ?
First you will need to find how much of the fraction is yellow so:
RED= 1/4 = 3/12
BLUE= 2/3 = 8/12
YELLOW= add 3/12 with 8/12= 11/12
12/12 - 11/12= 1/12
so the yellow marbles are 1/12
yellow + red = 120
1/12 + 3/12= 120
4/12= 120
so 4/12 of the marbles are 120
how much is 8/12?
120 x 2= 240
now:
red + yellow = 120
blue= 240
how many are in the bag? 120 + 240 = 360
answer: 360
I don't know if this is correct. but I tried. hope this helped:)
A cable is 7.1m long. How long is the cable in decimeters?
Answers
hope this helps
have a good day
PLEASE HELP!!! I WILL RATE BRAINLIEST TO THE FASTEST AND CORRECT ANSWER!!!
Answers
- 4 < x^4 + 4x^2 ---> 0 < x^4+4x^2+4 = (x^2+2)^2, so it is always positive. Always satisfied. Curious ...
Now the other one:
x^4+4x^2<21 --> x^4+4x^2-21 < 0 --> (x^2+2)^2 - 25 < 0
(x^2+2)^2<25 ->>> x^2+2 < 5 ---> x^2 <3,
So -sqrt(3)<x<sqrt(3) is the answer! Brainliest?
Rolf spent 15 hours last week practicing his saxophone if 3/10 of the time was spent practicing warm up routines, how much time did he spend practicing warm up routines ?
Answers
Time spent = 15 hours
remember that 'of' is usually multiply (x)
so ---- 3/10 x 15 =4.5 hrs
Hope this helps
21/99 simplified in fraction
Answers
What number makes the the number sentence true 420,008 - 9,569 =n
Answers
You can just type your problem into a calculator-- you're just finding out what 420,008-9,569 is. :)
Answer: its 410439
(all u need to do is subtract!)
Simplify this expression
Answers
Let's put these into simpler terms:
-7s + 3s + 2s
10 - 8 - 7
-7s + 3s = -4s
-4s + 2s = 2s
10 - 8 = 2
2 - 7 = -5
We are now left with:
2s - 5, which is your simplified expression.
I hope this helps!
find the mean absolute deviation
Answers
4+5+8+10+15=42
42/5=8.4
Then find the difference between each of the numbers and the mean.
4.4, 3.4, 0.4, 1.6, 6.6
Then find the mean of those values.
4.4+3.4+0.4+1.6+6.6=16.4
16.4/5=3.28
Final answer: 3.28
Answer:
(MAD) Mean Absolute Deviation: 3.28
Step-by-step explanation:
Mean: 4 + 5 + 8 + 10 + 15 = 42/5 = 8.4
8.4 - 4 = 4.4
8.4 - 5 = 3.4
8.4 - 8 = 0.4
8.4 - 10 = 1.6
8.4 - 15 = 6.6
Mean Absolute Deviation: 4.4 + 3.4 + 0.4 + 1.6 + 6.6 = 16.4/5 = 3.28
Which linear inequality is represented by the graph?
y < 2/3x + 3
y >3/2 x + 3
y >2/3 x + 3
y < 3/2x + 3
Answers
The linear equality represented by the graphis [tex]\boxed{{\mathbf{y > }}\frac{{\mathbf{2}}}{{\mathbf{3}}}{\mathbf{x + 3}}}[/tex] and it matches with [tex]\boxed{{\mathbf{OPTION C}}}[/tex].
Further explanation:
From given graph, theline passes through points [tex]\left({3,5}\right)[/tex] and [tex]\left({ - 3,1}\right)[/tex] as shown below in Figure 1.
The slope of a line passes through points [tex]\left({{x_1},{y_1}}\right)[/tex] and [tex]\left({{x_2},{y_2}}\right)[/tex] is calculated as follows:
[tex]m = \dfrac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}{\text{}}[/tex] ......(1)
Here, the slope of a line is denoted as and points are [tex]\left({{x_1},{y_1}}\right)[/tex] and [tex]\left({{x_2},{y_2}}\right)[/tex].
Substitute [tex]3[/tex] for [tex]{x_1}[/tex] , [tex]5[/tex] for [tex]{y_1}[/tex] , [tex]-3[/tex] for [tex]{x_2}[/tex] and [tex]1[/tex] for [tex]{y_2}[/tex] in equation (1) to obtain the slope of a line that passes through points [tex]\left( {3,5}\right)[/tex] and [tex]\left({ - 3,1}\right)[/tex].
[tex]\begin{aligned}m&=\frac{{1 - 5}}{{ - 3 - 3}}\\&=\frac{{ - 4}}{{ - 6}}\\&=\frac{2}{3}\\\end{aligned}[/tex]
Therefore, the slope is [tex]\frac{2}{3}[/tex].
The point-slope form of the equation of a line with slope passes through point is represented as follows:
[tex]y - {y_1} = m\left({x - {x_1}}\right){\text{}}[/tex] ......(2)
Substitute [tex]3[/tex] for [tex]{x_1}[/tex] , [tex]5[/tex] for [tex]{y_1}[/tex] and [tex]\frac{2}{3}[/tex] for [tex]m[/tex] in equation (2) to obtain the equation of line.
[tex]\begin{aligned}y - 5 = \frac{2}{3}\left({x - 3} \right)\\3\left( {y - 5} \right) = 2x - 6\\3y - 15 = 2x - 6\\3y = 2x - 6 + 15\\\end{aligned}[/tex]
Further simplify the above equation.
[tex]\begin{aligned}3y=2x + 9\\y=\frac{2}{3}x+\frac{9}{3}\\y=\frac{2}{3}x + 3\\\end{aligned}[/tex]
Therefore, the value of [tex]y[/tex] is [tex]\dfrac{2}{3}x + 3[/tex].
Since the shaded part in Figure 1 is above the equation of line [tex]y = \dfrac{2}{3}x + 3[/tex], therefore, greater than sign is used instead of is equal to
Therefore, the inequality is [tex]y > \dfrac{2}{3}x + 3[/tex].
Now, the four options are given below.
[tex]\begin{aligned}{\text{OPTION A}}\to y < \frac{2}{3}x + 3 \hfill \\{\text{OPTION B}} \to y > \frac{3}{2}x + 3 \hfill \\{\text{OPTION C}} \to y > \frac{2}{3}x + 3 \hfill \\{\text{OPTION D}}\to y < \frac{3}{2}x + 3 \hfill\\\end{aligned}[/tex]
Since OPTION C matches the obtained equation that is [tex]y > \dfrac{2}{3}x + 3[/tex].
Thus, the linear equality represented by the graph is [tex]\boxed{{\mathbf{y > }}\frac{{\mathbf{2}}}{{\mathbf{3}}}{\mathbf{x + 3}}}[/tex]and it matches with [tex]\boxed{{\mathbf{OPTION C}}}[/tex]
Learn more:
1. Which classification best describes the following system of equations? https://brainly.com/question/9045597
2. What is the value of in the equation when ? https://brainly.com/question/3965451
3. What are the values of x?https://brainly.com/question/2093003
Answer Details:
Grade: Junior High School
Subject: Mathematics
Chapter: Coordinate Geometry
Keywords: Coordinate Geometry, linear equation, system of linear equations in two variables, variables, mathematics,equation of line, line, passes through point, inequality
What is the probability of receiving a 6 or a 9 from a deck of 52 cards and an ace or a king?
Answers
Final answer:
The probability of selecting a heart or a face card from a standard deck of cards is approximately 42.31%, which is significantly higher than the probability of selecting just a heart suit face card, which is about 5.77%.
Explanation:
To calculate the probability of selecting a heart or a face card, we first need to count the number of favorable outcomes. There are 13 hearts in a deck of cards and 12 face cards (Jacks, Queens, and Kings, with 3 in each suit). However, there are overlap cards that are both hearts and face cards (Jack, Queen, King of Hearts), which amount to 3 cards. We must subtract these to avoid double counting. So, the formula to find the total number of favorable outcomes is:
Favorable outcomes = Total hearts + Total face cards - Overlap of hearts and face cards
Favorable outcomes = 13 (hearts) + 12 (face cards) - 3 (heart face cards) = 22
Next, we calculate the probability:
P(A) = Favorable outcomes / Total number of cards
P(A) = 22 / 52 ≈ 0.4231 or 42.31%
This is the probability of selecting a heart or a face card from a standard deck. Comparing this to the probability of selecting a heart suit face card (which is 3/52 or about 5.77%), it is clear that selecting a heart or a face card is much more likely.
Therefore, the probability of selecting either a heart or a face card is less than the probability of drawing only heart-suit face cards, since the number of favorable outcomes for the latter is smaller.
A rope stretches directly depending on the load it must carry. If a load of 8 pounds stretches the rope 9.6 inches, the constant of proportionality is equal to:
8(9.6)
8/9.6
9.6/8
Answers
"Our proportionality constant would be how much the rope stretches versus the weight being hung. This is set up by simply dividing the two numbers.
9.6 inches / 8 pounds
or for every pound hung, it will stretch 1.2 inches so we know if it stretches 6 inches, we can set up an equation 6 inches = 1.2 [inches/pound] * pounds solve for weight to get 5 pounds being hung from the rope."
Answer: 9.6 inches / 8 pounds
Step-by-step explanation: I got it right
Find an explicit formula for the arithmetic sequence -11,-3,5,13,...
Answers
So an = a1 + (n-1)k = -11 + (n-1)*8 = 8n - 19
the lengths of the sides of a triangle are three consecutive odd integers. The perimeter of the triangle is 45in. What is the length of the shortest side of the triangle?
Answers
.. 45/3 -1 = 14
3x - 13 = 7(x+2) - 4(x-7)
Answers
Which sets of values can be the measures of the exterior angles of a triangle? Click all that apply.
120°, 110°, 130°
35°, 103°, 122°
123°, 87°, 220°
120°, 120°, 120°
123°, 157°, 90°
Answers
120°, 110°, 130°
120°, 120°, 120°
The angles are within the range of angles are 120°, 110°, 130° and 120°, 120°, 120°
The exterior angle of a triangle is the sum of its exterior angles. The exterior angle of a triangle is obtuse in nature and obtuse angles are angles that are greater than 90 but less than 180 degrees.]Hence the set of angles required must fall within the range [tex]90^0<\theta<180^0[/tex]From the given options, the angles are within the range of angles are 120°, 110°, 130° and 120°, 120°, 120°
Learn more on exterior angles here: https://brainly.com/question/24231058
Gavin bought 4 packages of cheese. Each package weighed 1.08 kilograms. How many kilograms of cheese did Gavin buy?
Answers
=4.32kg
Gavin bought 4.32kg of cheese.
Hope this helps! A thanks/brainiest answer would be appreciated :)
4*1.08=4.32
I REALY NEED HELP!
A number line contains points Q, R, S, and T. Point Q is on the coordinate 24, R is on the coordinate 28, S is on the coordinate 29, T is on the coordinate 42. Find the probability that a point chosen at random on QT is on ST. Express your answer as a percent.
25%
42.2%
50%
72.2%
Answers
P(ST)=(42-29)/(42-24)
P(ST)=13/18
As a percentage:
(p/100)=(13/18)
p=1300/18%
p=650/9%
p≈72.2% (to nearest tenth of a percent)
Answer:
The correct option is 4.
Step-by-step explanation:
It is given that Point Q is on the coordinate 24, R is on the coordinate 28, S is on the coordinate 29, T is on the coordinate 42.
Total numbers lie on line QT is
[tex]42-24=18[/tex]
The numbers lie on line ST is
[tex]42-29=13[/tex]
The probability that a point chosen at random on QT is on ST is
[tex]P=\frac{\text{The numbers lie on line ST}}{\text{Total numbers lie on line QT}}\times 100[/tex]
[tex]P=\frac{13}{18}}\times 100[/tex]
[tex]P=72.222\approx 72.2\%[/tex]
The probability that a point chosen at random on QT is on ST is 72.2%. Therefore option 4 is correct.
Which expression is equivalent to 2−35?
Answers
-33
Describe how to model -3x + 7=28 with algebra tiles
Answers
What is a complex fraction?
Answers
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6