Answers
Answer:
Area = 3x² + 7x + 3
Perimeter = 8x + 8
Step-by-step explanation:
The figure can be decomposed into two: a large rectangle and a smaller rectangle.
✍️Dimensions of the large rectangle:
Length = (x + 1) + x = x + 1 + x = (2x + 1)
Width = (x + 3)
Area = length × width
Area = (2x + 1)(x + 3)
Expand
2x(x + 3) +1(x + 3)
2x² + 6x + x + 3
Area = 2x² + 7x + 3
✍️Dimensions of the large rectangle:
Length = x
Width = x
Area = length × width
Area = x × x = x²
✍️Area of the figure = area of the large rectangle + area of the smaller rectangle
Area of the figure = (2x² + 7x + 3) + x²
Area of the figure = 2x² + x² + 7x + 3
✅Area = 3x² + 7x + 3
✍️ Perimeter of the figure = sum of the length of all sides of the figure = (x + 3) + x + x + x + (x + 1) + (x + 3) + (x + 1) + x
✅Perimeter = 8x + 8
Related Questions
ffffddfrgrghhhhhhmedeeeeffff
Answers
Select the correct answer. What is the factored form of 24y5 + 3y?? A. 3y2(2y- 1)(4y2 + 2y + 1) B. 3y2(2y + 1)(4y2 - 2y + 1) C. (2y + 1)2(4y2 - 2y+ 1) D. (2y-1)2(4y2 + 2y + 1)
Answers
Answer
3y^2\left(2y\:+\:1\right)\left(4y^2\:-\:2y\:+\:1\right)
Step-by-step-explanation
Answer:
I think the answer is b the person who answered may have worded it weird but from trying to read it it looks like b so
Valerie bought a coat at a winter half-price sale. A sales tax of $6.24 was added to the sale price, bringing the cost of the coat to $84.24. Which of the following equations would give the original price ( p ) of the coat?
Answers
Answer:
84.24 - 6.24 = p
Step-by-step explanation:
Please answer 4x + 10 = 30
Answers
Answer:
x=5
Step-by-step explanation:
Let's solve your equation step-by-step.
4x+10=30
Step 1: Subtract 10 from both sides.
4x+10−10=30−10
4x=20
Step 2: Divide both sides by 4.
4x /4 = 20/4
x=5
The value of x that satisfies the equation 4x + 10 = 30 is x = 5.
Here,
To solve the equation 4x + 10 = 30,
we want to find the value of x that makes the equation true.
Step 1: Isolate the variable term.
First, we want to get rid of the constant term 10 on the left side of the equation.
We can do this by subtracting 10 from both sides of the equation:
4x + 10 - 10 = 30 - 10
Simplifying:
4x = 20
Step 2: Solve for x.
Next, we want to isolate the variable x on one side of the equation.
Since 4 is multiplied by x, we can undo this by dividing both sides of the equation by 4:
4x / 4 = 20 / 4
Simplifying:
x = 5
Step 3: Check the solution.
To verify that our solution is correct, we can substitute the value of x back into the original equation:
4x + 10 = 30
Substitute x = 5:
4(5) + 10 = 30
Simplifying:
20 + 10 = 30
30 = 30
Since both sides are equal, our solution x = 5 is correct.
Therefore, the value of x that satisfies the equation 4x + 10 = 30 is x = 5.
To learn more on equation click:
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The first 3 terms of n+7
Answers
Answer:
First 3 terms of the sequence are:
8,9,10
Step-by-step explanation:
The nth term of a sequence is n+7 .
We have to find the first three terms of the sequence
First term(n=1) = 1+7 =8
Second term(n=2) = 2+7 =9
Third term(n=3) = 3+7 =10
Hence, first 3 terms of the sequence are:
8,9,10
If sin tetha=root3/2, what is cos tetha?
Answers
Answer:
The value of cos Ф is ± [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
There are important rules for sin Ф and cos Ф
sin²Ф + cos²Ф = 1sin²Ф = 1 - cos²Фcos²Ф = 1 - sin²Ф∵ sin Ф = [tex]\frac{\sqrt{3}}{2}[/tex]
∴ sin²Ф = [tex](\frac{\sqrt{3}}{2})^{2}[/tex]
∴ sin²Ф = [tex]\frac{3}{4}[/tex]
→ By using the third rule above
∵ cos²Ф = 1 - sin²Ф
∴ cos²Ф = 1 - [tex]\frac{3}{4}[/tex]
∴ cos²Ф = [tex]\frac{1}{4}[/tex]
→ Take square root for both sides
∴ cos Ф = ± [tex]\frac{1}{2}[/tex]
∴ The value of cos Ф is ± [tex]\frac{1}{2}[/tex]
How much is 1+1?
A 2
B 1
C 3
D 0
Answers
Answer:
2
Step-by-step explanation:
a. 2
work:
1+1=2
HELP ME OUT REAL FAST WITH THE CORRECT ANSWER WILL MAKE BRAINLIST
Answers
Answer:
1
Step-by-step explanation:
Answer:
B. 1
Step-by-step explanation:
The quotient will have 1 decimal place because one of the numbers in the calculation has one decimal place, and the answer is only allowed to be as exact as the numbers used in the equation.
To make sure the answer is correct, we can do the math:
170.8/14 = 12.2
12.2 only has one decimal place, so answer choice B is correct.
Hope this helps :)
What is the solution for x in the equation? -4 + 5x - 7 = 10 + 3x - 2
Answers
Answer:
x = 9.5
x = 9 1/2
x = 19/2
All answers are the same, just different ways of denoting it.
Step-by-step explanation:
-4 + 5x - 7 = 10 + 3x - 2
Simplify both sides, by combining like terms
-4 + 5x - 7 = 10 + 3x - 2
-11 + 5x = 8 + 3x
Inverse operations
-11 + 5x = 8 + 3x
+11 +11
5x = 19 + 3x
-3x -3x
2x = 19
/2 /2
x = 9.5
After eating at your favorite restaurant, you know that the bill before tax is
$52.60 and that the sales tax rate is 6%. How much will you pay in taxes for
this meal?
Answers
Answer:
$3.16
Step-by-step explanation:
6% x $52.60 = $3.16 (2dp)
Topic: Percentage
If you like to venture further, please give my Instagram page a follow (learntionary). I'll be constantly posting math tips and notes! Thanks!
HELP HELP
Yesterday,
5
of the 64 students in a contest gave their speeches. How many students gave their speeches?
8
Answers
A band expects to put 16 songs on their next CD. The band writes and records 12.5% more songs than they expect to put on the CD. During the editing process,50 % of the songs are removed. How many songs will there be on the final CD?
Answers
27% of all college students major in STEM (Science, Technology, Engineering, and Math). If 47 college students are randomly selected, find the probability that
a. Exactly 13 of them major in STEM.
b. At most 12 of them major in STEM.
c. At least 9 of them major in STEM.
d. Between 8 and 15 (including 8 and 15) of them major in STEM.
Answers
Answer:
0.12995
0.47508
0.0841
0.738
Step-by-step explanation:
Given that:
Percentage of STEM (p) = 27% = 0.27
Sample size (n) = 47
Using Normal approximation :
Mean (m) = n*p = 47 * 0.27 = 12.69
Standard deviation (s) = √(n*p*q)
q = 1 - p = 1 - 0.27 = 0.73
Standard deviation (s) = √(47*0.27*0.73) = 3.04
a. Exactly 13 of them major in STEM.
P(12.5 < x < 13.5)
USing the z formula :
(x - m) / s
(12.5 - 12.69) / 3.04 < x (13.5 - 12.69) / 3.04
-0.0625 < z < 0.2664
Using the z probability calculator:
P(Z < - 0.0625) = 0.47508
P(Z < 0.2664) = 0.60503
0.60503 - 0.47508
= 0.12995
b. At most 12 of them major in STEM.
P(X ≤ 12.5)
Zscore = (x - m) / s
Zscore = (12.5 - 12.69) / 3.04
Zscore = −0.0625
P(Z ≤ - 0.0625) = 0.47508
c. At least 9 of them major in STEM.
P(X ≥ 8.5)
Zscore = (x - m) / s
Zscore = (8.5 - 12.69) / 3.04
Zscore = −1.378
P(Z ≤ - 1.378) = 0.0841
d. Between 8 and 15 (including 8 and 15) of them major in STEM.
(8.5 - 12.69) / 3.04 < x (15.5 - 12.69) / 3.04
-1.378 ≤ z ≤ 0.924
Using the z probability calculator:
P(Z ≤ 0.924) = 0.82226
P(Z ≤ - 1.378) = 0.084102
0.82226 - 0.084102
= 0.738
Sorry if it’s blurry it’s hard to take pictures of a computer screen lol im not very good at this subject in math so all help is appreciated :D
Answers
Answer:
If they are similar triangles then the ratio AE:BE equals the ratio DE:BCThe ratio AE:BE can be written as the fraction [tex]AE:BE=\frac{AE}{BE}= \frac{9cm}{BE}[/tex] The ratio DE:BC can be written as the fraction [tex]DE:BE=\frac{DE}{BE}=\frac{6cm}{16cm} =\frac{3}{8}[/tex] [tex]AE:BE=DE:BC\\\frac{9cm}{BE}=\frac{3}{8} \\BE*3=8*9cm\\BE*3=72cm\\BE=24cm[/tex]Heights were measured for a random sample of 10 plants grown while being treated with a particular nutrient. The sample mean and sample standard deviation of those height measurements were 46 centimeters and 7 centimeters, respectively. Assume that the population of heights of treated plants is normally distributed with mean μ. Based on the sample, can it be concluded that μ is different from 45 centimeters? Use the 0.05 level of significance.
Answers
Answer:
The calculated value t = 0.452< 2.2621 at 0.05 level of significance
null hypothesis is accepted
Based on the sample, can it be concluded that μ is not different from 45 centimeters
Step-by-step explanation:
Step( i ):-
Heights were measured for a random sample of 10 plants
Size of the sample 'n' = 10
Mean of the sample (x⁻ ) = 46 centimeters
Standard deviation of the sample (s) = 7 centimeters
Mean of the Population ( μ ) = 45
Step(ii):-
Null Hypothesis :H₀:( μ ) = 45
Alternative Hypothesis : H₁: μ ) ≠ 45
Test statistic
[tex]t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }[/tex]
[tex]t = \frac{46-45}{\frac{7}{\sqrt{10} } }[/tex]
t = 0.452
Degrees of freedom
γ = n-1 = 10 -1 = 9
t₀.₀₅ = 2.2621
The calculated value t = 0.452< 2.2621 at 0.05 level of significance
null hypothesis is accepted
Based on the sample, can it be concluded that μ is not different from 45 centimeters
19 × 0.38 =
i need this answer now it is important.
Answers
Answer:
7.22
Step-by-step explanation:
Use a calculator
Answer:
19 x 0.38 = 7.22
Step-by-step explanation:
if the number you are multiplying by is smaller than 1, it's always smaller than the beginning number.
May I have brainliest please? :)
Hannah has a aquarium with 25 Liter of water in it.How many milliliters of water are in the aquarium
Answers
Answer:
25000
Step-by-step explanation:
25 * 1000 = 25000
25000 milliliters
Convert 25 liters to milliliters
A digital clock displays military time in hh:mm format. Find the probability that the number made up of the first two digits on the clock is less than 25.
Answers
Answer:
0
Step-by-step explanation:
there is a maximum of 24 hours in a day and the highest we can have is 23:59.. it's impossible for it to be the 25th hour in a day
Lauren has a balance of $60 in your checking account. She spends $80 a day for 3 days vacationing at the beach. What is Laurens new balance in her checking account after her vacation?
Answers
Based on Lauren's spending patterns and the balance in her account, her new balance must be an overdraft of $180.
Lauren Balance after Vacation
Her balance after the vacation can be found as:
= Balance before vacation - ( Amount spent)
= 60 - ( 80 x 3)
= 60 - 240
= -$180
In conclusion, she will have a bank overdraft of $180.
Find out more about bank overdrafts at https://brainly.com/question/8283687.
S
T
80°
70
Find the measure of RST.
A)
20
B)
30°
40°
D)
60°
Answers
Answer:
D
Step-by-step explanation:
If its right let me know I think this is right
Which equation represents table 1
Which equation represents table 2
Which equation represents table 3
Which equation represents table 4
Which equation represents table 5
Answers
Answer:
1 y=3x 2 y=38x 3 y=202x 4 y=2x 5 y=16x
Step-by-step explanation:
Answer:do yo use I’ll need help
Step-by-step explanation:
Indicate whether the lines are parallel, perpendicular, or neither. Justify your answer. y=52x-3 and 2y= -5x
-4 2x+8y= -24and 48y = -12x-144
2x-7y= -56and 7x+2y=8
Answers
Triangle ABC has vertices A(-3,0) B(0,6) C(4,6). Find the equations of the three medians of triangle ABC
Triangle ABC has vertices A(-3,0) B(0,6) C(4,6). Find the equations of the three altitudes of the same triangle
Triangle ABC has vertices A(-3,0) B(0,6) C(4,6). Find the equations of the three perpendicular bisectors of the same triangle.
Answers
Answer:
1.[tex]y=-6x+6, y=\frac{6}{5} x+\frac{18}{5}, y=\frac{6}{11} x+\frac{42}{11}[/tex]
2.[tex]y=-\frac{1}{2} x+2\frac{1}{4} , x=2, y=-\frac{7}{6}x+\frac{43}{12}[/tex]
Step-by-step explanation:
A(−3, 0), B(0, 6), and C(4, 6)
using the midpoint formula: [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex] we can find all of their midpoint which is necessary to complete question 1 and 2
Mid AB=(-1.5, 3), Mid BC=(2, 6), Mid AC=(0.5,3)
Next, we have to find the slope of from the vertex and the midpoint of each side. We use the slope formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
You would get -6, 6/5, and 6/11.
Next you substitute in the coordinates for the equation of each for example: y=-6x, you switch in the set of cords AB which is (-1.5, 3). 3=-6(-1.5)+z and find that z=6, so the equation is y=-6x+6. As for the rest, repeat the same process until you find all 3 cords. You should get an answer of [tex]y=-6x+6, y=\frac{6}{5} x+\frac{18}{5}, y=\frac{6}{11} x+\frac{42}{11}[/tex]
For question 2,
The line has to be perpendicular bisector to the midpoint, signifying that it has to split 2 angles into congruent angles and a side into half. In order to do that we need to first find the opposite reciprocal of each side's slope. Which means we need to once again use the slope formula and get the opposite reciprocal by [tex]-\frac{1}{slope}[/tex]. For all the opposite reciprocal slopes you get will be incorporated into the final formulas. That gives us the slopes of -1/2, 0 and -7/6. Then do the same process of matching cords with these incomplete equations and you can find the final equations of [tex]y=-\frac{1}{2} x+2\frac{1}{4} , x=2, y=-\frac{7}{6}x+\frac{43}{12}[/tex]
I hope that helped with your question!! :)
Also I'm an RSM student too and I didn't know how to do them before so I searched it up.
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4. Calculate the federal income taxes. In 1862, the federal income tax was 3 percent on incomes between $600 and $10,000 per year and 5 percent on incomes
over $10,000 per year. In 1862, you made $750. How much did you pay in income taxes?
O $37.50
O $225
O $22.50
$2,250
Answers
Answer:
$22.50
Step-by-step explanation:
My bad lol, I posted the answer under the wrong thing.
A 25% tip was paid on a $30 meal.what is the amount of the tip
Answers
Answer:
$7.50
Step-by-step explanation:
Rosa spent $11.52 on 8 candy necklaces for each of her two friends. How much did each necklace cost?
Answers
Answer:
£1.44
Step-by-step explanation:
11.52/8=1.44
:)
Answer:
I think the answer is $1.44 each necklaces
Step-by-step explanation:
We know the total amount is $11.52 and there were 8 candy necklaces, so you divide 11.52 by 8 and that gives you 1.44
A family wants to make a %20 down payment on a house that cost 200,000 what is the amount of the down payment
Answers
Answer:
40
Step-by-step explanation:
Which inequality relates BC and XY?
Answers
Answer:
BC>XY
Step-by-step explanation:
BCs angle is less than XYs angle
Driving 85 miles in 5/6 of an hour.How many miles per hour?
Answers
Find the slope of the linear function.
Answers
Step-by-step explanation:
Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula. (or just count and plug it into rise over run format)
Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.