Cindy has a jacket with the first letter of her school's name on it. determine the area of the letter on Cindy's jacket.
Answers
To find the area of the letter, use the area of a rectangle formula below:
Area = Length x Width
Find the
Total area = ( 10 x 2) + (6 x 2) + (6 x 2)
= 20 + 12 + 12
= 44 in²
Therefore, the area of the letter on Cindy's jacket is 44 in²
ANSWER:
44 in²
Related Questions
Solve and graph the following inequality. 6c-12>42
Answers
We have the next inequality
[tex]6c-12>42[/tex]And we must solve and graph it.
First, we need to solve the inequality
To solve the inequality we must:
1. Add 12 to both sides
[tex]\begin{gathered} 6c-12+12>42+12 \\ \text{ Simplifying,} \\ 6c>54 \end{gathered}[/tex]2. Divide both sides by 6
[tex]\begin{gathered} \frac{6c}{6}>\frac{54}{6} \\ \text{ Simplifying,} \\ c>9 \end{gathered}[/tex]So, the solution of the inequality is c > 9
Finally, we must graph it
We can see that the solution are all values greater than 9, so the graph would be
According to the data in the table which country has a more population density ?
Answers
The first step to solve the question presented is to calculate the population density for each country, which is defined as the ratio from the population and the area of the country, as follows:
[tex]D=\frac{P}{A}[/tex]Let us to perform the calculation for both countries with data in the table.
[tex]\begin{gathered} D_{\text{America}}=\frac{310,000,000}{3,539,225}\cong87.59\frac{people}{mi^2} \\ D_{\text{Mexico}}=\frac{122,000,000}{742,485}\cong164.31\frac{people}{mi^2}_{} \end{gathered}[/tex]From the solution presented we are able to conclude that the country with the highest population density from those in the table is Mexico
Use the figure below to complete the following problem.Given:FLAG isGXYZ isGхYZY=
Answers
∠Y = ∠L (option C)
Explanation:FLAG is similar to XYZG.
This means the corresponding angles are congruent (equal).
∠F = ∠X
∠L = ∠Y
∠A = ∠Z
∠G =∠G
Hence, ∠Y = ∠L (option C)
If a rotation angle is 540 degrees how is it possible that the location is Quadrant 1 with a reference angle of 0?
Answers
Since a whole revolution has 360º, when we have an angle bigger than 360º the angles start to repeat.
We can subtract 360º to the given angle to find the coterminal angle. In this case:
[tex]540º-360º=180º[/tex]And from an reference angle of 0º, this is exactly a half revolution. Thus, the angle is in the x axis, and it's coterminal angle is 180º
In the diagram from question 15, which statement would prove that line a and b are parallel?
Answers
the answer is D
[tex]m\measuredangle1+m\measuredangle7=180[/tex]Question 15 ptsIf Martha puts $181 in the bank today at 2%, how much will she have have in 8 years? (Round to the 2decimal places)Question 25 ptsHow much will Bill and Mary need to put in the bank today at 5% to have $103,897 in 9 years? (Roundto 2 decimal places)
Answers
Question 1
Interest in 1 year at 2% per annum = 2/100 x $181 = $3.62
Total Interst after 8 years = 8 x $3.62 = $28.96
Total amount she has after 8 years = initial amount + Total Interst after 8 years
=$181 + $28.96 = $209.96 (2 decimal places)
Question 2
rate per annum, r = 5%
Time = 9years
Total amount = $103,897
Let the initial amount invested be p
interst after 1 year = 5% of p =$5p/100
Total interest after 9 years = 9 x 5p/100 = $45p/100
Total amount = p + 45p/100
That is,
103,897= p + 45p/100
[tex]undefined[/tex]A _____ is a line that best approximates the linearrelationship between two variables in a data set. *
Answers
We have the following:
A line of best fit is a straight line that is the best approximation of the given data set. It is used to study the nature of the relationship between two variables.
Therefore, the answer is line of best fit.
A line of best fit is a line that best approximates the linear
relationship between two variables in a data set.
Find the radius of a circle whose arc length is 55 m and its central angle measure if 5radians.
Answers
Solution:
The arc length of a circle is given by the following equation:
[tex]L=\theta R[/tex]where theta is the central angle and r is the radius of the circle. Then, replacing the given data into the previous equation, we get:
[tex]55=5R[/tex]solving for R, we get:
[tex]R\text{ = }\frac{55}{5}=\text{ 11}[/tex]then, the correct answer is:
[tex]R\text{ = 11}[/tex]rita Bob and dale served a total of 83 orders Monday at the school cafeteria. rita served 9 fewer orders than bob. Dale served 2 times as many orders as bob. how many orders did they each serve
Answers
Info given
Bob and dale served a total of 83 orders Monday at the school cafeteria. rita served 9 fewer orders than bob. Dale served 2 times as many orders as bob. how many orders did they each serve
Solution
We can find the number of orders for Rita like this:
[tex]\text{Rita}=83-9=74[/tex]And for Dale we have this:
[tex]\text{Dale}=2\cdot83=166[/tex]In the right triangle ABC angles B and C are congruent. What is the measure of B and C?
Answers
SOLUTION:
Step 1:
In this question, we are given the following:
Step 2:
From Triangle ABC, we have that:
[tex]\begin{gathered} A=90^0(Right\text{ angle)} \\ B\text{ = x} \\ C\text{ = x} \\ \text{Because Angles B and C are congruent} \end{gathered}[/tex][tex]\begin{gathered} 90^0+x+x=180^0 \\ 90^{0\text{ }}+2x=180^0 \\ \text{collecting like terms, we have that:} \\ 2x=180^0-90^0 \\ 2x=90^0 \\ \text{Divide both sides by 2, we have that:} \\ \text{x = }\frac{90^0}{2} \\ \text{x = 45}^0 \end{gathered}[/tex]CONCLUSION:
The measure of B and C are: 45 and 45 degrees --- OPTION A
Line AB is parallel to line CD. What is the measure of Z1?1/2BA3/45 80°7/8→D
Answers
From the image above,
measured angle 2 is 80degrees because the corresponding angles are equal.
Also meansured angle 1 + measured angle 2 is 180 degrees;
because the sum of angles on a straight line is 180 degrees
Given b(x) = [X+41, what is b(-10)?O-10O -614
Answers
Given : b(x) = | x + 4 |
So, to find b(-10) , substitute with x = -10 at the function b(x)
So, b(-10) = | -10 + 4 | = | -6 | = 6
please help me and also l will send you the pic
Answers
The estimate is 5 while the difference is 4.3
Here, we want to find the estimate the difference and also get the real difference between the two numbers
To get the estimate, we round up each of the numbers to the closest integer
When we talk of an integer, we mean the nearest whole number
Thus, 8.5 becomes 9
while 4.2 becomes 4
The estimated difference is thus 9-4 = 5
However, the actual difference is what we have when we actually make a direct subtraction
Thus, mathematically, we have this as 8.5 - 4.2 = 4.3
AGE VS. STATES TRAVELED TO Age States (years) Traveled to 54 46 Linear Regression: y=0.111x+7.668 slope: 12 5 3 1 Y-intercept: 25 17 35 2 Use your equation to predict the age of a person if he/she travelled to 20 states. 68 4 104 12
Answers
The linear regression equation is expressed as
y = 0.
The proportion of passengers who miss a flight for which they have a reservation is0.0995. Suppose a flight 290 reservations. Find the standard deviation of the sampleproportion, ºf, rounded to the nearest ten-thousandth (4 decimal places).
Answers
Answer
Standard deviation of the sample proportion = 0.0176
Explanation
For a distribution with proportion, p, the standard deviation of the sample proportion is given as
[tex]\sigma_x=\sqrt[]{\frac{p(1-p)}{n}}[/tex]where
p = sample proportion = 0.0995
n = sample size = 290
[tex]\begin{gathered} \sigma_x=\sqrt[]{\frac{p(1-p)}{n}} \\ \sigma_x=\sqrt[]{\frac{0.0995(1-0.0995)}{290}} \\ \sigma_x=\sqrt[]{\frac{0.0995(0.9005)}{290}} \\ \sigma_x=\sqrt[]{\frac{0.08959975}{290}} \\ \sigma_x=\sqrt[]{0.0003089647} \\ \sigma_x=0.0176 \end{gathered}[/tex]Hope this Helps!!!
The amount of metal needed to be installed spring the workbench is
Answers
To answer this question we will use the following formula to compute the perimeter of a rectangle:
[tex]Perimeter=2(length+width)[/tex]Therefore the perimeter of the workbench is:
[tex]Perimeter=2(5ft+3ft).[/tex]Simplfying the above result we get:
[tex]Perimeter=2(8ft)=16ft.[/tex]Therefore we will need 16ft of metal stripping.
Answer: 16ft.
Point Yof AwXY is (7.-8). What is the image of Vafler AWXY using the transformation (x+3y - 4)? A (21.-24) B (21,32) c (10.-12) D (10,-4)
Answers
The vertex Y is triangle WXY is (7, -8)
The triangle will translate by the rule (x + 3, y - 4)
That means it will be moved right 3 units and down 4 units
So we will add the x-coordinate of point Y by 3 and subtract its y-coordinate by 4 to get its image Y'
The image of point Y is
Y' = (7 + 3, -8 - 4)
Y' = (10, -12)
The correct answer is C
please try to do the work detailed with answers and work.
Answers
The general sine function is given as
[tex]y=A\sin (B(x-C)+D)[/tex]Where
A=Amplitude; B= Period Factor; Horizontal shift; D= Vertical shift or displacement
From the sine curve, the following can be found
[tex]A=6-3=3[/tex][tex]undefined[/tex]Substitution, SUVAT
Use the correct equation below to work
out the terms required:
v=u + at, or v² = u² + 2as
a) u = 6ms ¹, a = 3ms2, v = 30ms ¹, find t.
b) a = 0.5ms², v = 10.5ms¹, t = 5s, find u.
c) u = 2ms ¹, v = 6ms¹, a = 0.5ms², find s.
Answers
The value of time (t) is equal to 8 seconds.
The value of the initial velocity (u) is equal to 8 meters per seconds.
The value of the distance (s) is equal to 32 meters.
How to find the missing terms?Mathematically, the first and third equation of motion are given by this mathematical expressions:
v = u + at
v² = u² + 2as
Where:
V represents the final velocity.U represents the initial velocity.S represents the distance travelled or covered.t represents the time measured in seconds.For the first part (a), we would find time (t) by using the first equation of motion as follows;
v = u + at
30 = 6 + 3t
3t = 30 - 6
3t = 24
Time, t = 24/3
Time, t = 8 seconds.
For the second part (b), we would find the initial velocity (u) by using the first equation of motion as follows;
v = u + at
10.5 = u + 0.5(5)
10.5 = u + 2.5
Initial velocity (u) = 10.5 - 2.5
Initial velocity (u) = 8 m/s.
For the third part (b), we would find the distance (s) by using the third equation of motion as follows;
v² = u² + 2as
6² = 2² + 2(0.5)s
36 = 4 + s
Distance, s = 36 - 4
Distance, s = 32 meters.
Read more on Initial velocity here: brainly.com/question/13273980
#SPJ1
In a recent survey of 1,050 people, 42 said that their favorite color of car was red. What percent of the people surveyed liked red cars?
Answers
In order to calculate the percentage of surveyed people that liked red cars, we need to divide this amount of people by the total amount of people surveyed.
So we have:
[tex]p=\frac{42}{1050}=0.04=4\text{\%}[/tex]Therefore the percent of the people surveyed that liked red cars is 4%.
If a line passes through (-4,3) and (6,2) what's the equation if an equation isn't possible say no
Answers
First, let's find the slope of the line that passes through the points (-4,3) and (6,2):
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \Rightarrow m=\frac{2-3}{6-(-4)}=\frac{-1}{6+4}=-\frac{1}{10} \end{gathered}[/tex]Now we can use the first point to get the equation of the line:
[tex]\begin{gathered} (x_1,y_1)=(-4,3) \\ y-y_1=m(x-x_1) \\ \Rightarrow y-3=-\frac{1}{10}(x-(-4))=-\frac{1}{10}(x+4)=-\frac{1}{10}x-\frac{4}{10}=-\frac{1}{10}x-\frac{2}{5} \\ \Rightarrow y=-\frac{1}{10}x-\frac{2}{5}+3=-\frac{1}{10}x-\frac{2}{5}+\frac{15}{5}=-\frac{1}{10}x+\frac{13}{5} \\ y=-\frac{1}{10}x+\frac{13}{5} \end{gathered}[/tex]therefore, the equation of the line is y=-1/10x+13/5
"A pump can fill a tank in 3 hours. A more powerful pump can fill the same tank in 2 hours. How long would it take to fill the tank with both pumps working?" Is my answer correct or incorrect? 1/3+1/2=3+2/3*2 5/15=15/515/5=3hrs
Answers
A pump can fill a tank in 3 hours. A more powerful pump can fill the same tank in 2 hours. How long would it take to fill the tank with both pumps working?" Is my answer correct or incorrect?
we have that
fisrt pump ------> fill a tank in 3 hours
that means
100% -----> 3 hours
1 hour ------> 33.33%
second pump
fill the same tank in 2 hours
100% -----> 2 hours
1 hour -----> 50 %
therefore
with both pumps working
1 hour ------> (33.33%+50%)=83.33%
applying proportion
1/83.33=x/100
x=100/83.33
x=1.2 hoursyour answer is not correctbecause the total time must be less than 2 hours (time of the second pump)Jessica had eighty dollars to spend on eight books. After buying them she had sixteen dollars. How much did each book cost? Please show work
Answers
How much did she spend?
She had 80 dollars, and after buying them she had 16 dollars. Then she spent
80 - 16 = 64
she spent $64 on 8 books.
How much did each book cost?
Since 8 books cost $64, each one should cost:
64 ÷ 8 = 8
each one cost $8.
Answer: $8ur4) Find the missing sides of the triangle. Leave your answersas simplified radicals. (2 points)452√645MALOrc
Answers
SOLUTION:
Case: Triangles
Method:
First, It is an Isosceles triangle
When the base angles are equal, the opposite sides are equal too
[tex]x=2\sqrt{6}[/tex]Next, find y using Pythgoras theorem
[tex]\begin{gathered} y^2=(2\sqrt{6})^2+(2\sqrt{6})^2 \\ y^2=4\times6+4\times6 \\ y^2=24+24 \\ y^2=48 \\ y=\sqrt{48} \\ y=\sqrt{16\times3} \\ y=4\sqrt{3} \end{gathered}[/tex]Final answer:
[tex]\begin{gathered} x=2\sqrt{6} \\ y=4\sqrt{3} \end{gathered}[/tex]what is the solution set of y equals x squared plus 2X + 7 + y equals x + 7
Answers
The given equations are
y = x^2 + 2x + 7
y = x + 7
We would substitute y = x + 7 into the first equation. It becomes
x + 7 = x^2 + 2x + 7
Collecting like terms, it becomes
x^2 + 2x - x + 7 - 7 = 0
x^2 + x = 0
By factorising x, it becomes
x(x + 1) = 0
Thus,
x = 0 or x + 1 = 0
x = 0 or x = - 1
Substituting x = 0 into y = x + 7, it becomes
y = 0 + 7
y = 7
Thus, one solution set is (0, 7)
Substituting x = - 1 into y = x + 7, it becomes
y = - 1 + 7
y = 6
Thus, another solution set is (- 1, 6)
Therefore, the solution sets are
{(0, 7), (- 1, 6)}
Option A is correct
A Statistics exam has mean m=78 in standard deviation of g=8 estimate the portion of Grades between 66 and 90
Answers
In order to estimate the portion of grades between 66 and 90, first let's find the z-score for these two values, using the formula:
[tex]z=\frac{x-m}{g}[/tex]So we have:
[tex]\begin{gathered} z_1=\frac{66-78}{8}=-1.5 \\ z_2_{}=\frac{90-78}{8}=1.5 \end{gathered}[/tex]Looking at the z-table, a z-score of 1.5 corresponds to a z-value of 0.0668.
Since we have this z-value from the left and right, the percentage we want is:
[tex]\begin{gathered} P=1-0.0668-0.0668 \\ P=0.8664=86.64\text{\%} \end{gathered}[/tex]How do you find any unit price?
Answers
The unit price of an item is the cost per unit of the item. We divide the price of certain number of units of an item by the number of units to find the unit price of that item.
What is the quotient and the remainder of 26÷3
Answers
Answer:
Quotient: 8
Remainder: 2
Explanation:
If we divide 26 by 3, we get:
So, the quotient is 8 and the remainder is 2.
Answer: Quotient: 8 Remainder: 2
Step-by-step explanation: 26/3 = 8 r2
solve following equation6+y=18
Answers
y=12
Explanation
The subtraction property of equality tells us that if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same,
in order to know the y value, we have to isolate y, then
Step 1
subtract 6 in both sides
[tex]\begin{gathered} 6+y=18 \\ 6+y-6=18-6 \\ \end{gathered}[/tex]Step 2
add like terms
[tex]\begin{gathered} 6+y-6=18-6 \\ y=12 \end{gathered}[/tex]therefore, the answer is
[tex]y=12[/tex]I hope this helps you
The graph of the absolute value parent function, (x) = 1X1, is stretchedhorizontally by a factor of 5 to create the graph of g(x). What function is g(x)?A. g(x) = 1514B. g(x) = 51Mc. 9(20) = 13aD. 9(x) = 12 + 51SUBMIT
Answers
we get that the answer is
[tex]g(x)=|\frac{x}{5}|=|\frac{1}{5}x|[/tex]