Hi! I was wondering the area of just the shaded region. I was having a hard time doing this. Thanks!
Answers
To find the area of the shaded region, we have to subtract the area of the parallelogram and the area of the rectangle. Let's find the area of each figure.
\(A_{\text{parallelogram}}=bh\)The base of the parallelogram is 4m and the height is 6m.
\(A_{\text{parallelogram}}=4m\cdot6m=24m^2\)Now let's find the area of the rectangle.
\(A_{\text{rectangle}}=bh\)The base of the rectangle is 3m and the height is 2m.
\(A_{\text{rectangle}}=3m\cdot2m=6m^2\)Once we have the area of each figure, let's subtract.
\(\begin{gathered} A_{\text{shaded}}=A_{\text{parallelogram}}-A_{\text{rectangle}} \\ A_{\text{shaded}}=24m^2-6m^2=18m^2 \end{gathered}\)Therefore, the area of the shaded region is 18 m^2.Related Questions
Please help me with this proof.
Answers
Answer:
See below
Step-by-step explanation:
For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.
This is my last question.
Answers
Answer:
NOM and POR
(so so sorry if it's wrong, I tried my best to help you but I had to look up an image of a angle like that but i hope you have a wonderful day, sorry again if i am wrong, i hope i help in a way, in i did not, sorry)
What is the product of -2 1/2 and -3 1/3?
Answers
A mixed fraction exists one that is represented by both its quotient and remainder.
Product of -2 1/2 and -3 1/3 is \(8\frac{1}{3}\).
Product of 1 1/3 and -3 1/2 is \(-5\frac{5}{6}\) .
How do you multiply fractions and mixed numbers in simplest form?A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction exists, for example, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.
Step 1: Create an incorrect fraction from the jumbled number.Step 2: Separately multiply the denominators and numerators of the two fractions. Step 3: Simplify by removing the common elements to obtain the most basic version of the outcome. Step 4: Change the result back to a mixed number if it is an incorrect fraction.Product of -2 1/2 and -3 1/3 is \(8\frac{1}{3}\).
Product of 1 1/3 and -3 1/2 is \(-5\frac{5}{6}\) .
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i need help asap
if F(4)=9, the corresponding ordered pair is what
Answers
Answer:
F(5)=11.25
Step-by-step explanation:
I'm like 80% sure this is right, and I hope it helps.
First I did 9/4 which equals 2.25. and that would be F(1)
then added 2.25 to 9 which equals 11.25
multiplying 2.25 by 5 would also equal 11.25.
I did 5 because, on a number line, 5 comes after 4.
HELP PLEASE giving out brainilest
Answers
9514 1404 393
Answer:
160 cm³
Step-by-step explanation:
The ratio of the linear dimensions is the square root of the ratio of areas:
scale factor B/A= √(64/144) = 8/12 = 2/3
The ratio of volumes is the cube of the scale factor:
(volume B)/(volume A) = (2/3)³ = 8/27
Then the volume of pyramid B is ...
volume B = (volume A) × (volume B)/(volume A)
= (540 cm³) × (8/27) = 160 cm³ . . . . volume of pyramid B
_____
Equivalently, the ratio of volumes is the 3/2 power of the ratio of areas.
Vb = Va(64/144)^(3/2) = (540 cm³)(4/9)^(3/2) = (540)(8/27) cm³ = 160 cm³
evaluate for x=2
12x+8 divided by 4
Answers
Answer:
12x + 32
Step-by-step explanation:
Multiply 8 and 4 to get 32.
Graph the solution to this inequality on the number line (pls help!)
Answers
Answer: A. x <= -3
Step-by-step explanation:
First, let's begin by simplifying the inequality:
-4x >= 12 ← To isolate the x, we need to divide both sides of the inequality by -4 (we must make this change to both sides so that the inequality is still valid). Remember that when dividing an inequality by a negative number, the orientation of the sign switches (greater than → less than, less than → greater then, etc.). So...
-4x / -4 <= 12 / -4 ← Simplify...
x <= -3
Now, we need to find the right number line representing this inequality.
There should be a solid dot over -3, because the inequality includes the value -3 (x includes values less than and equal to -3).The number line should be pointing to the left, towards values less than -3.The number line that fits these criteria would be A.
Find the EXACT circumference of a circle with the radius of 12 feet.
Answers
Answer:
D. 37.68
Step-by-step explanation:
Answer:
circumference of circle is
2π r
24π
option A is correct
Can you find X? Show how did u find
Answers
Answer:
x=90°
Step-by-step explanation:
As in the angle, there is a box giving us info that x has to be 90°.
But to be sure that there is no mistake we have to do the following:
Look at all the other angles (see what kind of angles they are).Add all the angles up to 360°( in this case as the angle we are looking for is on a straight line which gives straight line=180°).Checking and comparing the two answers.So we are looking at the surroundings of angle x (which is on a straight line) we see that it is a right angle and look at the angle on the same line is a right angle too.
The equation right angle=90° helps us see that because there are two right angles on a 180° line (90°+90°+180°).
Therefore the answer is:
x=90°
A car travels at a constant speed.
What is the car's speed between checkpoints, expressed as a unit rate?
Use the information given in the picture.
Answers
Answer:
Step-by-step explanation:
Checkpoint A-> time being 1:00pm total miles driven being 120 and
checkpoint B-> time being 3:00pm and the total miles being 208
The distance between two checkpoint A and B is 208 - 120 = 88 miles
Now the time between the two checkpoints = 3.00 - 1.00 = 2 hours
We need to find car speed between the checkpoints
We know Distance = speed * time
Speed = 44 miles per hour
Answer:
The answer is 1 miles
Step-by-step explanation:
1+1=2
-12.9 - 100.6
(100.6 is positive)
Answers
dimensions of a rectangular prism as shown below: Length:2 1/4 feet. Width: 1 foot. Height:1 1/4 feet. The lengths of the side of a small cube or 1/4 for each. Part A: how many small cubes can be packed in a rectangular prism? Show your work. Part B: use the answer obtained in part a to find the volume of a rectangular prism in terms of the small cube in unit cube.
Answers
Answer:
Step-by-step explanation:
In this case we will use the formula V= length × width × height
so, V= 2 1/4 × 1 × 1 1/4
=2 1/4 × 1 1/4
= 9/4 × 5/4
= 45/16
=2 13/16 cubic feet is the full capacity of the rectangular prism
then get the volume of the cube so, we will use the formula V= side times side times side
so, V= 1/4 times 1/4 times 1/4
V= 1/8 times 1/4
V= 1/32 cubic is the volume of the cube
then we will divide the full capacity of the rectangular prism to the volume of the cube
so, 2 13/16 divided by 1/32
so, 2 13/16 times 32/1
so, 45/16 times 32/1
=1,440/16
=90 small cubes can be packed in a rectangular prism in Part A
so, in Part B
V= 2 1/4 × 1 × 1 1/4
=2 1/4 × 1 1/4
= 9/4 × 5/4
= 45/16
=2 13/16 cubic feet is the volume of the rectangular prism
Which two transformations of the solid quadrilateral form a sequence that shows that it is congruent to the dashed quadrilateral?
Answers
The two transformations that show a sequence is congruent are a horizontal translation of one unit left (c) and a vertical translation 4 units down (d).
What is the meaning of congruent?In mathematics, two shapes are congruent if they have the same dimensions, this means that when you superpose them they will match and one will not be bigger than the other.
In this context, congruence implies translating the figure (options c and d) or creating a reflection, but in this case, a reflection was not used.
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Find the LCM of A= 3^2 x 5^4 x 7 and B= 3^4 x 5^3 x 7 x11
Answers
The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.
Given are two numbers which are showed in the prime factorized form.
A = 3² × 5⁴ × 7
B = 3⁴ × 5³ × 7 × 11
Prime factorization is the factorization of a number in terms of prime numbers.
In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.
A = 3² × 5³ × 5 × 7
B = 3² × 3² × 5³ × 7 × 11
Bring down the primes in each column.
LCM = 3² × 3² × 5³ × 5 × 7 × 11
= 3898125
Hence the LCM is 3898125.
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636636+6363636+8373737
Answers
To add more than two numbers, arrange them as follows:
Notice that they are all aligned from right to left.
Start by adding the numbers on each colum. The first column from right to left, is:
\(6+6+7=19\)Write a 9 below the first colum and a 1 above the second column, since we cannot write 19 using one decimal place. Since 19 = 10 + 9, we can bring the 10 together in the column of the tens.
Next, add the numbers on the second column:
\(1+3+3+3=10\)Repeating the procedure, write 0 below the second column and 1 above the third one. Continue adding columns until we are finished.
The sum of the third column, is:
\(1+6+6+7=20\)For the fourth column, we have:
\(2+6+3+3=14\)For the fifth column, we have:
\(1+3+6+7=17\)For the sixth column, we have:
\(1+6+3+3=13\)For the seventh column, we have:
\(1+6+8=15\)Since there are no further columns, write 15 at the leftmost part of the result.
Therefore:
\(636636+6363636+8373737=15374009\)
The propeller blades on a submarine have a radius of 6 feet. At full speed, they turn at 120 revolutions per minute. What is the angular velocity, in radians per minute, at the tip of the blade?
Answers
One revolution also corresponds to an angular displacement of 2π rad.
So, the angular velocity is
120 rev/min = (120 rev/min) * (2π rad/rev) = 240π rad/min
Answer:
753.98 rad/min
Step-by-step explanation:
on edge, it asks for you to round to the nearest hundredth, causing me to assume that you need to multiply 240(pi)
the whole answer is 753.9822369, but it asks for you to round.
the position of a particle moving along a coordinate line is s=√(3+6t), with s in meters and t in seconds. Find the particle's velocity at t=1 sec.
Answers
The particle's velocity at time t = 1 seconds is equal to 3 meters per seconds.
What is a position vs time graph?In Mathematics, a position vs time graph can be defined as a type of graph that is used to graphically represent the distance traveled (covered) by an object from its starting position with respect to the time when it is started moving.
Generally speaking, the position of a physical object (body) in a position vs time graph is always plotted on the y-coordinate (y-axis) while time is always plotted on the x-coordinate (x-axis).
From the information provided about this particle on a position vs time graph, we have;
s =√(3 + 6t)
Where:
s in meters.t in seconds.Substituting the given parameters into the formula, we have;
s =√(3 + 6(1))
s =√(3 + 6)
s =√9
Distance, s = 3 meters.
Now, we can determine the velocity as follows;
Velocity = distance/time
Velocity = 3/1
Velocity = 3 meters per seconds.
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A shop sells apple juice in cartons of two sizes. A 500 ml carton costs $1.30.
a) Work out the cost of 250 ml of this apple juice. A 750 ml carton costs $1.86.
b) Work out the cost of 250 ml of this apple juice.
c) Which carton is better value for money?
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What is the range of the given set of ordered pairs?
(9,-2) (4,3) ( 8, 10) (-4, 8)
Answers
Answer:
(-2,3,10,8)
Step-by-step explanation:
eg
(x,y)=(domain,range)
x components are domain and y components are range in the given set of ordered pairs
The area of a square poster is 26in squared. Find the length of one side of the poster to the nearest tenth of an inch
Answers
Step-by-step explanation:
26 ÷4 = 6.5 inches is the correct answer for one side
If the the price of a pair of shoes is 35$ before tax and the tax is 20% what will the final price of the shoes be
Answers
Answer:
$42
Step-by-step explanation:
You want the price with tax of a $35 pair of shoes subject to a 20% tax.
Price with taxThe tax is the cost of the shoes multiplied by the tax rate. The final price is the sum of the cost of the shoes and the tax:
final price = price + price × tax rate
final price = price × (1 + tax rate) = $35 × 1.20 = $42
The final price of the shoes is $42.
Answer:
42$
Step-by-step explanation:
tax increase will be
20% of 35$
= 20/100 × 35
= 7$
Final price = Old price + Tax
= 35 + 7
= 42$
Lines MN and GH are parallel. If the measure of angle 6 is 45°, what is measure of angle 4?
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Answer: It will be A that is the best answers
help!! 20 pts
leslie invested $3,500 into an account with an interest rate of 4.5%. write an equation and find the value of the account after 15 years, compounding monthly.
a=p(1+r/n)^nt
select the correct answer for each question
the value of “p” in the equation is:
15
13
3500
.045
the value of “r” in the equation is:
.045
12
15
3500
the value of “n” in the equation is:
15
3500
12
.045
the value of “t” in the equation is:
.045
12
3500
15
and finally!!!
the value of leslie’s account is:
?
Answers
Answer:P: the principal, the amount invested
A: the new balance
t: the time
r: the rate, (in decimal form)
Ex1: If $1000 is invested now with simple interest of 8% per year. Find the new amount after two years.
P = $1000, t = 2 years, r = 0.08.
A = 1000(1+0.08(2)) = 1000(1.16) = 1160
Step-by-step explanation:
Given the geometric sequence an with the following information, find a7.
Answers
To find the value of Az in the geometric sequence, we can use the given information. The geometric sequence is represented as follows: A3, 60, 160, 06 = 9.
From this, we can see that the third term (A3) is 60 and the common ratio (r) is 160/60.
To find Az, we need to determine the value of the nth term in the sequence. In this case, we are looking for the term with the value 9.
We can use the formula for the nth term of a geometric sequence:
An = A1 * r^(n-1)
In this formula, An represents the nth term, A1 is the first term, r is the common ratio, and n is the position of the term we are trying to find.
Since we know A3 and the common ratio, we can substitute these values into the formula:
60 =\(A1 * (160/60)^(3-1)\)
Simplifying this equation, we have:
\(60 = A1 * (8/3)^260 = A1 * (64/9)\)
To isolate A1, we divide both sides of the equation by (64/9):
A1 = 60 / (64/9)
Simplifying further, we have:
A1 = 540/64 = 67.5/8.
Therefore, the first term of the sequence (A1) is 67.5/8.
Now that we know A1 and the common ratio, we can find Az using the formula:
Az = A1 * r^(z-1)
Substituting the values, we have:
Az =\((67.5/8) * (160/60)^(z-1)\)
However, we now have the formula to calculate it once we know the position z in the sequence.
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Maxim has been offered positions by two car companies. The first company pays a salary of $12000 plus a commission of $800 for each car sold. The second pays a salary of $15600 plus a commission of $600 for each car sold. How many cars would need to be sold to make the total pay the same?
Answers
To make the total pay the same, 18 cars would need to be sold
Explanation:Let the number of cars sold be x
The first company pays a salary of $12000 plus a commission of $800 for each car sold
Total pay for the first company = 12000 + 800x
The second pays a salary of $15600 plus a commission of $600 for each car sold
Total pay for the second company = 15600 + 600x
If the total pay is the same:
12000 + 800x = 15600 + 600x
800x - 600x = 15600 - 12000
200x = 3600
x = 3600/200
x = 18
To make the total pay the same, 18 cars would need to be sold
Cookies are sold in singly or in packages of 6 or 18. With this packaging how many ways can you buy 36 cookies?
Answers
The ways to pack are
10 singles. One package of 6 and 4 singles. One package of 6 and one packages of 4 Two packages of 4 and 2 singles One package of 4 and 6 singlesThis is further explained below.
What is packaging ?Generally, The science, art, and technology of packaging involves confining or safeguarding goods for distribution, storage, sale, and usage. The process of creating, analyzing, and designing packages is sometimes referred to as packaging.
In conclusion,
10 singles. One package of 6 and 4 singles. One package of 6 and one packages of 4 Two packages of 4 and 2 singles One package of 4 and 6 singlesRead more about packaging
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as part of a student project, data was collected from uf students to determine if the average number of cities students have lived in was different for those who are florida residents and those who are not. summary statistics and part of the analysis appear below.
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(1) p value is 0.234. So the 4th option is correct.
(2) p value grater that any alpha values so we fail to reject the null. So the 4th option is correct.
(3) The outcome is significant if the null hypothesis is rejected. So the third option is the correct choice.
4) We lack sufficient data to claim that UF students who are Florida residents differ from non-Florida residents in the average number of cities they have lived in since we are unable to reject the null hypothesis.
We consider the following hypothesis-
H0: µ1 = µ2 vs H1: µ1 ≠ µ2
Where µ1 is the population mean of the non FL res
µ2 is the population mean of the FL res
1) p value = 0.234
(Obtained by p value calculator corresponding to the test statistic at 0.05 significance level with degrees of freedom 232+1224-2 = 1454)
Hence the 4th option is correct.
2) We know if p value ≤ α we reject the null.
Here since p value grater that any alpha values so we fail to reject the null.
Hence the 4th option is correct i.e, t none of the usual α.
(3) The outcome is significant if the null hypothesis is rejected. This conclusion is neither statistically nor practically significant because we are unable to reject the null hypothesis. The third option is the correct choice.
(4) We lack sufficient data to claim that UF students who are Florida residents differ from non-Florida residents in the average number of cities they have lived in since we are unable to reject the null hypothesis.
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The right question is given below:
Let f(x) = x + 2 and g(x) = x + 4.
Find f(g(f(2)).
Brainliest 15 points
Answers
Answer:
10
Step-by-step explanation:
Let's find f(2) first.
f(2) = 2 + 2 = 4
This means it would be f(g(4)).
Then let's find g(4).
g(4) = 4 + 4 = 8
Then, this means f(8).
f(8) = 8 + 2 = 10
−5/6h−2/3h=−24 for h
Answers
Answer: h = 16
Step-by-step explanation:
We will isolate the variable, h, with inverse operations and simplifying to solve for h.
Given:
\(\displaystyle -\frac{5}{6}h-\frac{2}{3}h=-24\)
Multiply both sides of the equation by 6:
➜ Why would we do this? This allows us to work without fractions.
-5h - 4h = -144
Combine like terms:
-9h = -144
Divide both sides of the equation by -9:
h = 16
Decide whether the rates are equivalent. Maria saves $50 in 4 months.
Ralph saves $60 in 5 months
Answers
Answer:
The rates are not equivalent since Maria saves $0.50 more per month than Ralph.
Step-by-step explanation:
We can determine if two rates are equivalent by comparing the rates at which they save per month.
Maria's savings per month:
Both 50 and 4 can be divided by 2, which gives us 25/2. As a regular number, this becomes 12.5/1 which means Maria saves $12.5 per month.
Ralph's savings per month:
Both 60 and 5 can be divided by 5, which gives us 12. Thus, Ralph saves $12 per month.
Thus, the rates are not equivalent as Maria saves $0.50 more per month than Ralph.