What is the area of the composite figure? 9 in. 12 in. 24 in 20 in 12 in 15 in 30 in. O 1,182 square inches O 1,236 square inches O 978 square inches O 924 square inches
Answers
Given data:
The given figure is shown.
The area of the given figure is,
[tex]\begin{gathered} A=(24\text{ in)}(30\text{ in)+}\frac{1}{2}(24\text{ in)(9 in)+}\frac{1}{2}(15\text{ in)}(20\text{ in)} \\ =720\text{ sq-inches+108 sq-inches+150 sq-inches} \\ =978\text{ sq-inches} \end{gathered}[/tex]Thus, the area of the composite figure is 978 sq-inches.
Related Questions
Round 0.145 to the nearest hundredth
Answers
The hundredths are two places from the right of the decimal point, in this case, in the hundredth place we have a 4 (0.145). if the digit on the right of the hundredths is 5 or more, and the second digit (in the hundredth place) is less than 9, then we have to add 1 to it and remove the third digit. In this case, the third digit is 5 and the second digit is 4, then we have to remove the 5 and add 1 to the 4, then we get:
0.145 rounded to the nearest hundredth is 0.15
If y varies directly with x and y=12when.x=9 what is the value of x when y=36?
Answers
y varies directly with x
y=kx
y=12, x=9
12=k9
Solve for k:
12/9 =k
y= 12/9x
For y=36
36 = 12/9 x
Solve for x:
36 /(12/9)= x
27=x
x=27
Not a timed or graded assignment. Quick answer = amazing review :)
Answers
The question is given to be:
[tex]\sqrt[]{\frac{64}{100}}[/tex]Recall the rule:
[tex]\sqrt[]{\frac{a}{b}}=\frac{\sqrt[]{a}}{\sqrt[]{b}}[/tex]Therefore, the expression becomes:
[tex]\sqrt[]{\frac{64}{100}}=\frac{\sqrt[]{64}}{\sqrt[]{100}}[/tex]Recall that:
[tex]\begin{gathered} 8\times8=64,\therefore\sqrt[]{64}=8 \\ \text{and} \\ 10\times10=100,\therefore\sqrt[]{100}=10 \end{gathered}[/tex]Hence, the expression becomes:
[tex]\frac{\sqrt[]{64}}{\sqrt[]{100}}=\frac{8}{10}[/tex]Dividing through by 2, we have:
[tex]\frac{8}{10}=\frac{4}{5}[/tex]Therefore, the answer is:
[tex]\sqrt[]{\frac{64}{100}}=\frac{4}{5}[/tex]Reduce to lowest term10\25
Answers
Answer:
2/5
Step-by-step explanation:
10 and 25 can both be divided by 5
10 divided by 5 equals 2
25 divided by 5 equals 5
if the growth factor is 1.2, what is the growth rate
Answers
SOLUTION
Step 1 :
In this question, we are meant to know the relationship between Growth factor and Growth Rate.
Growth factor is the factor by which a quantity multiplies itself over time.
Growth rate is the addend by which a quantity increases ( or decreases ) over time.
Step 2 :
From the question, if the growth factor is 1.2 which is also 120 %,
then the growth rate will be ( 120 - 100 ) % = 20 % = 0. 2
CONCLUSION:
The Growth Rate = 0. 2
Beth Johnson's bank card account charges 1.1% every month on the average daily balance as well as the following special fees:Cash advance fee: 2% ( not less than $2 nor more than $10)Late payment fee: $25Over-the - credit- limit fee $10In the month of June, Beth's average daily balance was $1886. She was on vacation during the month and did not get her account payment in on time, which resulted in a late payment and resulted in charges accumulating to a sum above her credit limit. She also used her card for five Cash advances of$100,while on vacation. Find the special fees charged to the account based on account transactions in that month. The special fees are?
Answers
List of special fees paid by Beth:
1.Late payment fee: $25.
2.Cash advance fee: $10.
2% of $100 multiplied by 5 is equal to (2/100)(100)(5) = 10.
3.Over-the - credit- limit fee: $10
The addition of the special fees is equal to $45. (After adding $25+$10+$10)
The answer $45.
10. Determine if the following sequence is arithmetic or geometric. Then, find the 67th term. 36, 30, 24, 18, ... a. arithmetic, -360 b. arithmetic, 12 c. geometric, -360 d. geometric, 12
Answers
hello
to determine if the sequence is arthimetic or a geometric progression, we check if a common difference or common ratio exists between the two sequence
the sequence is 36, 30, 24, 18,......
from careful observation, this is an arthimetic progression because a common difference exists between them
d = 30 - 36 = -6
or
d = 24 - 30 = -6
to find the 67th term, let's apply the formula
[tex]\begin{gathered} T_n=a+(n-1)d \\ T_{67}=a+(67-1)d \\ a=\text{first term = 36} \\ d=common\text{ difference = }-6 \\ T_{67}=36+(67-1)\times-6 \\ T_{67}=36+66\times-6 \\ T_{67}=36-396 \\ T_{67}=-360 \end{gathered}[/tex]x = -1,0,1,2,3.
P(X = x) 0.2, 0.2, 0.2, 0.2, 0.2. Find the value of P(X<3).
Answers
The value of the probability P(x < 3) is 0.8
How to determine the probability value?From the question, the table of values is given as
x = -1,0,1,2,3.
P(X = x) 0.2, 0.2, 0.2, 0.2, 0.2
To calculate the probability P(x < 3). we make use of the probability values where x is less than 3
This means that
P(x < 3) = P(-1) + P(0) + P(1) + P(2)
Substitute the known values in the above equation
So, we have
P(x < 3) = 0.2 + 0.2 + 0.2 + 0.2
Evaluate the sum
P(x < 3) = 0.8
Hence, the probability value is 0.8
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Question 11:What is the maximum height of the driver off the diving board
Answers
To find the maximun height (y) given a quadratic equation as above you find the coordinates of the vertex (maximum or minimun point of a parabola)
1. Use the next formula to find the x- coordinate of the vertex
[tex]\begin{gathered} y=ax^2+bx+c \\ \\ x=-\frac{b}{2a} \end{gathered}[/tex][tex]\begin{gathered} x=-\frac{\frac{24}{9}}{2(-\frac{4}{9})} \\ \\ x=-\frac{\frac{24}{9}}{-\frac{8}{9}}=\frac{-24}{-8}=3 \end{gathered}[/tex]2. Use the value of x above to find y-coordinate in the vertex:
[tex]\begin{gathered} y=-\frac{4}{9}(3)^2+\frac{24}{9}(3)+12 \\ \\ y=-\frac{4}{9}(9)+\frac{72}{9}+12 \\ \\ y=-4+8+12 \\ \\ y=16 \end{gathered}[/tex]Then, the maximum height of the diver is 16 feetA local deli kept track of the sandwiches it sold for three months. The polynomials below model the number of sandwiches sold, where s represents days. Ham and Cheese: 4s^3-28s^2+33s+250Pastrami: -7.4s^2+32s+180Write a polynomial that models the total number of these sandwiches that were sold.
Answers
we are given that the following polynomials model the number of sandwiches sold per day:
[tex]\begin{gathered} HC=4s^3-28s^2+33s+250 \\ P=-7.4s^2+32s+180 \end{gathered}[/tex]The total amount of sandwiches is equivalent to the sum of both polynomials:
[tex]4s^3-28s^2+33s+250-7.4s^2+32s+180[/tex]Associating like terms:
[tex]4s^3+(-28s^2-7.4s^2)+(33s+32s)+(250+180)[/tex]Adding like terms:
[tex]4s^3-35.4s^2+65s+430[/tex]Since we can simplify any further, this is the polynomial that models the total amount of sandwiches.
A bag contains 5 red and 3 blue marbles. Two marbles are drawn simultaneously from the bag. DETERMIN the probability that at least one is red.
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total number of balls = 5 + 3 = 8
The possibilities are:
RR (two red) and RB (one red and one blue)
RR and RB are mutually exclusive
P(RR) =
13 divided by 10 5/6
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Answer:
the answer is 1 1/5
find the coordinates of the midpoint of the line joining the points and show your work.
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formula of midpoint
[tex](\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]the we replace (7,1) and (-1,3)
[tex](\frac{7+(-1)}{2},\frac{1+3}{2})[/tex]simplify to solve
[tex]\begin{gathered} (\frac{7+1}{2},\frac{4}{2}) \\ \\ (\frac{8}{2},\frac{4}{2}) \\ \\ (4,2) \end{gathered}[/tex]Midpoint is (4,2)
Graph
Write the slope intercept equation through the point (1,2) and it’s parallel to the line y=1+4x
Answers
Given:
Line equation, y=1+4x
The point, (1,2)
To find the slope intercept form:
The general slope intercept form is, y=mx+b.
First to find m:
From the line equation,
y=4x+1
We have, m=4
Next to find b:
Substitute m=4, and (1,2) in the general intercept form is,
[tex]\begin{gathered} (2)=4(1)+b \\ 2=4+b \\ b=-2 \end{gathered}[/tex]Now, substitute m=4 and b=-2 in the slope intercept form
Thus, the slope intercept form is,
[tex]y=4x-2[/tex]How many solutions does the following equation have? - 6(x + 7) = - 4x – 2 А. No solutions B.Exactly one solution C.Infinitely many solutions
Answers
ANSWER
Exactly one solution.
EXPLANATION
We are given the equation:
-6(x + 7) = -4x - 2
To find the number of solutions, we have to solve for x:
-6x - 42 = -4x - 2
Collect like terms:
-6x + 4x = 42 - 2
-2x = 40
x = 40 / -2
x = -20
Therefore, the equation has exactly one solution.
I child drinks 1 1/2 cups of milk twice a day.If a container of milk has 15 cups of milk remaining for the child to drink ,in how many days will the container be empty?
Answers
Data
Milk drank = 1 1/2 twice a day
Volume in a container = 15 cups
Number of days the contaier will be empty = ?
Procedure
To solve this problem just divide the volume of the container by the milk drank by the child.
As the child drinks 1 1/2 twice a day, the total milk drank in a day will be = 2 x 1 1/2 = 3
Division 15/3 = 5
Solution: The container will be empty in 5 days
Write the equation for the trigonometric graph.y= 8cos(pi/40x)y= –8sin(pi/40x)y= –8cos(pi/40x)y= 8sin(pi/40x)
Answers
Solution
For this case we can verify the answer using the point x= 0 if we replace we got:
y=8 cos (pi/40* 0) = 8 cos (0) = 8
y= -8 sin (pi/40 *0)= -8 sin(0) = 0
y= -8cos(pi/40*0)= -8 cos (0)= -8
y= 8 sin (pi/40 *0)= 8 sin(0) = 0
Then the correct option would be:
y= -8cos(pi/40*0)
How do you convert 313313 yards to inches? Use the drop-down menus to explain your answer.Since there are inches in 11 yard, 313313 by .So, 313313 yards = inches.
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Given:
[tex]3\frac{1}{3}\text{yards}[/tex]Aim:
We need to convert yards into inches.
Explanation:
[tex]3\frac{1}{3}\text{yards}=\frac{3\times3+1}{3}\text{ yards}[/tex]
[tex]3\frac{1}{3}\text{yards}=\frac{10}{3}\text{ yards}[/tex]
Recall that
[tex]1\text{ yard =}36\text{ inches}[/tex]Multiply 10/3 on both sides, we get
[tex]\frac{10}{3}\text{ yards =}\frac{10}{3}\times36\text{ inches}[/tex][tex]\frac{10}{3}\text{ yards=}120\text{ inches}[/tex][tex]3\frac{1}{3}\text{ yards =}120\text{ inches}[/tex]We know that
[tex]3\frac{1}{3}\times36=120[/tex]Final answer:
Since there are 36 inches in 1 yard.
[tex]\text{ multiply 3}\frac{1}{3}\text{ by 36.}[/tex][tex]\text{ So, }3\frac{1}{3}\text{ yards =}120\text{ inches}[/tex]Solve the following system using the substitution method. Enter your answer as an ordered pair in the form (x,y). 3x-2y=55x+10y=35
Answers
System of equations
• Equation 1
[tex]3x-2y=5[/tex]• Equation 2
[tex]5x+10y=35[/tex]Procedure
Solving the system by substitution.
0. Isolating ,x ,from equation 2:
[tex]5x=35-10y[/tex][tex]x=\frac{35}{5}-\frac{10y}{5}[/tex][tex]x=7-2y[/tex]2. Replacing the expression of x obtained in equation 1:
[tex]3\cdot(7-2y)-2y=5[/tex]3. Simplifying:
[tex]21-6y-2y=5[/tex][tex]-8y=5-21[/tex][tex]y=\frac{-16}{-8}[/tex][tex]y=2[/tex]4. Finally, we replace this value in the isolated expression of x and solve it:
[tex]x=7-2\cdot(2)[/tex][tex]x=7-4[/tex][tex]x=3[/tex]Answer: (3, 2)
A spinner with 10 equal sectors numbered 1 through 10 is spun. What is the probability of the spinner randomly landing on: An even number: A prime number:A number greater than 6:2 or 5: A multiple of 3:
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The Solution.
The set of numbers under consideration is
[tex]\mleft\lbrace1,2,3,4,5,6,7,8,9,10\mright\rbrace=10[/tex]Even numbers = {2,4,6,8,10} = 5
[tex]\text{Probability(even number) =}\frac{5}{10}=\frac{1}{2}\text{ or 0.5 or 50\%}[/tex]Prime numbers = {2,3,5,7} = 4
[tex]\text{Probability(prime number) = }\frac{4}{10}=\frac{2}{5}\text{ or 0.4 or 40\%}[/tex]Numbers greater than 6:
{7,8,9,10} = 4
[tex]\text{Probability(greater than 6) = }\frac{4}{10}=\frac{2}{5}\text{ or 0.4 or 40\%}[/tex]The probability of 2 or 5 is
[tex]\begin{gathered} \text{Probability}(2\text{ or 5) =prob(2) + prob(5)} \\ \text{ = }\frac{1}{10}+\frac{1}{10}=\frac{2}{10}=\frac{1}{5}\text{ or 0.2 or 20\%} \end{gathered}[/tex]The multiple of 3:
Multiple of 3 = {3,6,9} = 3
[tex]\text{Probability(multiple of 3) = }\frac{3}{10}\text{ or 0.333 or 33.3\%}[/tex]4. Sales tax in a certain state is 5%. If the sales tax on a new boat was $400, what was the selling price of the boat?
Answers
Sales tax percentage = 5% = 5/100 = 0.05 (decimal form)
Sales tax amount = $400
Multiply the selling price of the boat (x) by the sales tax percentage in decimal form. That expression must be equal to 400.
0.05x = 400
Solve for x:
x = 400/ 0.05
x= $8,000
A car rental company’s standard charge includes an initial fee plus an additional fee for each mile driven. The standard charge S (in dollars) is given by the function S = 15.75+0.50 M, where M is the number of miles driven. The company also offers an option to ensure the car against damage. The insurance charge I in dollars is given by the function I = 5.70+0.15 M. Let C be the total cost in dollars for a rental that includes insurance. Write an equation relating C to M.
Answers
Answer:
[tex]C\text{ = 0.65 M + 21.45}[/tex]Explanation:
Here, we want to write an equation that relates C to M
From the given question, we have to add the insurance to the standard charge to get the total cost
Mathematically:
[tex]C\text{ = S + I}[/tex]Now, we substitute the values for both S and I
That would be:
[tex]\begin{gathered} C\text{ = 15.75 + 0.50M + 5.70 + 0.15 M} \\ C\text{ = 0.65M + 21.45} \end{gathered}[/tex]which of the following lines is perpendicular to the equation given below?
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Given data:
The given equation of the line is y=-2x+8.
The slope of the given line is -2.
The slope of the line perpendicular to it is,
[tex]\begin{gathered} m\times-2=-1 \\ m=\frac{1}{2} \end{gathered}[/tex]The standard equation of the line is,
[tex]y=mx+c[/tex]Here, m is the slope of the line.
The second option can be written as,
[tex]\begin{gathered} x-2y=8 \\ 2y=x-8 \\ y=\frac{1}{2}x-4 \end{gathered}[/tex]Thus, option (B) is correct.
find the value of n in each equation the name the property that is used
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14.
n=11+0
Add numbers ( 11+ 0 = 11)
n=11
Addition property
I was doing this with a tutor but there was a connection problem.
Answers
ANSWER:
[tex](x-3)^2+(y+7)^2=113[/tex]The point (7,6) is not on the circle
STEP-BY-STEP EXPLANATION:
(a)
The equation of the circle is given as follows:
[tex]\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ \text{ where (h,k) is the center and r is the radius } \end{gathered}[/tex]We replace to calculate the radius of the circle, like this:
[tex]\begin{gathered} \mleft(-4-3\mright)^2+\mleft(1-\mleft(-7\mright)\mright)^2=r^2 \\ (-7)^2+(8)^2=r^2 \\ r^2=113 \end{gathered}[/tex]Therefore, the equation would be:
[tex](x-3)^2+(y+7)^2=113[/tex](b)
We replace the point, and if the value is greater than the radius, it means that this point is not on the circle:
[tex]\begin{gathered} (x-3)^2+(y+7)^2\le113 \\ \text{ replacing:} \\ \mleft(7-3\mright)^2+\mleft(6+7\mright)^2\le113 \\ 4^2+13^2\le113 \\ 16+169\le113 \\ 185\le113 \end{gathered}[/tex]Therefore, the point (7,6) is not on the circle
I need help with this kind of math please. I have tried doing it but I’m so lost and confused
Answers
GF < GE < EF
Explanation:The given angles:
∠G = 74°
∠F = 65°
∠G + ∠F + ∠E = 180° (sum of angles in a triangle)
74 + 65 + ∠E = 180
139 + ∠E = 180
∠E = 180 - 139
∠E = 41°
The size of the side length of the triangles corresponds the size of the angles.
The higher the angle, the higher the side length and viceversa
∠E corresponds to side GF
∠F corresponds to side GE
∠G corresponds to side EF
∠E = 41 is the lowest, followed by ∠F = 65, highest is ∠G = 74
From least to greatest:
GF < GE < EF
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Answers
According to visual inspection, shape A has been rotated 180° counterclockwise about the origin and then translated 1 unit to the left.
What is meant by transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
The four basic transformations exist:
TranslationReflectionRotationDilationAccording to visual inspection, shape A has been rotated 180° counterclockwise about the origin and then translated 1 unit to the left.
Therefore, the correct answer is option C) translated 1 unit to the left and then rotated 180° counterclockwise about the origin
The complete question is:
Describe the transformation that maps the pre-image A to the image A.
A) translated 8 units up and then reflected across the y-axis
B) translated 8 units down and then reflected across the y-axis
C) translated 1 unit to left and then rotated 180° counterclockwise about the origin
D) translated 1 unit to right and then rotated 180° counterclockwise about the origin.
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What is the solution for the system given below 4x + 8y = 20 and -4x + 2y = -30
Answers
You have the folloiwng system of equations:
4x + 8y = 20
-4x + 2y = -30
In order to solve the previous system, proceed as follow:
Sum the equations and solve for y:
4x + 8y = 20
-4x + 2y = -30
10y = -10
Divide by 10 both sides
y = -10/10
y = -1
Now, replace the previous value of y into the any of the equations of the system, for instance, into the first equation and solve for x:
4x + 8y = 20
4x + 8(-1) = 20
4x - 8 = 20
add 8 boht sides, simlplify and divide by 4 both sides:
4x = 20 + 8
4x = 28
x = 28/4
x = 7
Hence, the solution of the given system of equations is given by:
x = 7
y = -1
in the diagram triangle JKL and is inscribed in the circle and Arc JL = 62 degrees what is angle L
Answers
SOLUTION
m < L = ?
m < J = 62 degrees
m < L + 62 + 90 = 180 ( Sum of angles in a triangle )
m < L + 152 = 180
m < L = 180 - 152
HELLPPPPLLPPPPPPPPPPPPPPP
Answers
Answer:
a²+13a+40
Step-by-step explanation:
Now the x in the function has been replaced into (a+5) :
(a+5)²+3(a+5) =
(a²+10a+25)+(3a+15) =
a²+13a+40
Hope this helped and have a good day