The figure below is made up of two rectangles.
What is the total area, in square feet, of the figure?
Answers
Answer:
Total area of figure = [3x² + 7x + 6] feet²
Step-by-step explanation:
By dividing both rectangle by vertical line;
Given:
Length of big rectangle = (x + 3) feet
Width of big rectangle = (x + 2) feet
Length of small rectangle = 2x feet
Width of small rectangle = (x + 1) feet
Find:
Total area of figure
Computation:
Area of rectangle = Length x width
Total area of figure = Area of big rectangle + Area of small rectangle
Total area of figure = [(x + 3)(x + 2)] + [(2x)(x + 1)]
Total area of figure = [x²+ 2x + 3x + 6] + [2x² + 2x]
Total area of figure = [3x² + 7x + 6] feet²
Related Questions
Which of the following point-slope form equations could be produced with the points (4, 5) and (-3, -5)?
Answers
Given:
The two points are (4,5) and (-3,-5).
To find:
The point-slope form equations could be produced with the given points.
Solution:
Slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The two points are (4,5) and (-3,-5). So, the slope of the line is:
[tex]m=\dfrac{-5-5}{-3-4}[/tex]
[tex]m=\dfrac{-10}{-7}[/tex]
[tex]m=\dfrac{10}{7}[/tex]
The point slope form of a line is:
[tex]y-y_1=m(x-x_1)[/tex]
Where, m is the slope of the line.
The slope of the line is [tex]m=\dfrac{10}{7}[/tex] is passes through the point (4,5). So, the point slope form is:
[tex]y-5=\dfrac{10}{7}(x-4)[/tex]
The slope of the line is [tex]m=\dfrac{10}{7}[/tex] is passes through the point (-3,-5). So, the point slope form is:
[tex]y-(-5)=\dfrac{10}{7}(x-(-3))[/tex]
[tex]y+5=\dfrac{10}{7}(x+3)[/tex]
Therefore, the point slope form of the given line is either [tex]y-5=\dfrac{10}{7}(x-4)[/tex] or [tex]y+5=\dfrac{10}{7}(x+3)[/tex].
The sum of the squares of two positive numbers is 73 and the difference of the squares of the numbers is 55. Find the numbers. If there
use the "or" button
Answers
x^2-y^2=55
x^2=73-y^2
73-y^2-y^2=55
-2y^2= -18 multiply both sides by -1
2y^2=18 divide both sides by 2
y^2=9
y= √9
y=3
x^2=73-9
x^2=64
x= √64
x=8
Check:
64+9=73
64-9=55
Good luck
The two numbers are 3 and 8.
What are squares of a number?Square numbers are numbers that can be multiplied by themselves.
Given that, The sum of the squares of two positive numbers is 73 and the difference of the squares of the numbers is 55.
Let the numbers be x and y, then,
x²+y² = 73
x²-y² = 55
On solving, we get,
x² = 9
x = 3
Putting x = 3 in first equation, we get
3²+y² = 73
y² = 64
y = 8
Hence, the required numbers are 3 and 8.
For more references on square of a number, click;
https://brainly.com/question/28610159
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Is urgent If a line passes through the points (2, 7) and (7,9), its slope is
necessary, use the slash (/) to indicate a fraction.
If
Answers
The ratio of games won to games lost for a baseball team is 7:2. The team
won 14 games. How many games did the team lose?
Answers
Answer:
They lost 4 games.
Step-by-step explanation:
brainliest pls
Use the diagram to find the following bearings.
Answers
9514 1404 393
Answer:
(a) 15°
(b) 256°
(c) 133°
(d) 313°
Step-by-step explanation:
We assume your bearings are to be reported as an angle measured clockwise from north.
A) The given angle is the bearing: 15°.
__
B) The bearing can be found by subtracting this angle from 450°:
450° -194° = 256°
__
C) The bearing can be found by adding 90° to the angle shown:
43° +90° = 133°
__
D) The reverse bearing can be found by adding 180°:
133° +180° = 313°
_____
Additional comment
Angles in Cartesian coordinates are conventionally measured counterclockwise from the +x axis. In that sense, the angle of C could be considered to be -43°.
Bearing angles are reported different ways. One of them is as an angle in the range 0–360°, measured clockwise from north (up, or +y axis). As such, it can be found by subtracting the conventional Cartesian angle from 90°.
When the Cartesian angle is more than 90°, 360° must be added to the difference to bring it back into the desired 0–360° range. Essentially, angles greater than 90° must be subtracted from 90° +360° = 450°.
Reverse bearings are found by adding or subtracting 180°.
__
An alternate convention for reporting bearings is as an angle in the range 0–90° east or west from north or south. In this convention, A = N15E, B=S76W, and C=S47E.
Occasionally, you will see the angles B and C reported from east or west: B=W14S; C=E43S. This keeps the angles in the 0–45° range. This is NOT a recommended way to report bearings.
Reverse bearings are found by swapping N/S and E/W. That is, the bearing from A to O is S15W, for example.
6/x=2x+4/5 multiply each side by the common denominator to find the quadratic equation equivalent to this equation
Answers
9514 1404 393
Answer:
C. 2x² +4x -30 = 0
Step-by-step explanation:
This is what you get when you follow the instructions.
[tex]\dfrac{6}{x}=\dfrac{2x+4}{5}\qquad\text{given}\\\\\dfrac{6(5x)}{x}=\dfrac{(5x)(2x+4)}{5}\qquad\text{multiply by the common denominator $5x$}\\\\30=x(2x+4)\qquad\text{cancel common factors}\\\\30=2x^2+4x\qquad\text{eliminate parentheses}\\\\\boxed{2x^2+4x-30=0}\qquad\text{subtract 30}[/tex]
Then k =
Answer and I will give you brainiliest
Answers
Give brainlist don’t forget
The ratio of the diameters of two similar cylinders is 4/5 What is the ratio of their surface areas? of their volumes?
Answers
Answer:
yo
Step-by-step explanation:
jy
At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is .51. Find the probability that in a sample of 10 customers, fewer than 8 will order a nonalcoholic beverage.
Answers
Answer:
1-0.7584=0.2416
Step-by-step explanation:
The probability nobody will order a non-A beverage is .56^8=0.0097
all 8 will order a non-A beverage is 0.44^8=0.0014
fewer than 6:
look at 6,7,8
Those add to 0.0794 and the answer is 1- that or 0.9206. Also 2nd VARS (.44,8,5)
b. at least 5 is 5,6,7,8
that is 1-P(0-4)
=1-0.7584=0.2416
Faye has $5,000 that she is going to deposit into two accounts as shown:
Account Deposit Interest Type Interest Rate
#1 $2,000 Simple 5%
#2 $3,000 Compound 4%
Assuming that Faye does not make any additional deposits or withdrawals, find the combined amount of her two accounts after 15 years.
$15,902.83
$3,902.83
$8,902.83
$6,902.83
Answers
Answer:
$8,902.83
Step-by-step explanation:
Answer:
8,902.83
Step-by-step explanation:
I have the same question but with different answers
except 8,902.83
en un velocímetro se registra una velocidad de 8.5 m/seg ¿cual sería la velocidad en km/hr?
Answers
Answer:
x = 30.6 km/hr
Step-by-step explanation:
Dados los siguientes datos;
Velocidad = 8.5 m/s
Para convertirlo a km /hr;
1 m/s = 3.6 km/hora
8.5 m/s = x km/hora
Multiplicación cruzada, tenemos;
x = 8.5 * 3.6
x = 30.6 km/hora
Velocidad se puede definir como la tasa de cambio en el desplazamiento (distancia) con el tiempo. La velocidad es una cantidad vectorial y, como tal, tiene magnitud y dirección. Matemáticamente, la velocidad viene dada por la ecuación;
[tex] Velocidad = \frac {distancia} {tiempo} [/tex]
Four divided by a number, b
Please help
Answers
Answer: Can you explain more?
Step-by-step explanation:
Answer:
The expression would be 4 over b : [tex]\frac{4}{b}[/tex]
Step-by-step explanation:
a fraction sign is the same thing as a division sign
Can someone please help me I will mark u brilliant
Answers
Answer: The answer is 84 cubic feet.
Step-by-step explanation:
V= l*w*h
V=14*12*1/2
V= 84
19. √12
rational ir iraational
Answers
Answer:
65.8179...
Step-by-step explanation:
its 65.8179...
A f and g share the same root(s)
B f and g share one root in common but each have another root that is not shared
C f and g share no roots in common
Answers
9514 1404 393
Answer:
C f and g share no roots
Step-by-step explanation:
The roots of a polynomial function are the values of x that make factors of the function be zero.
f(x) = x(x +4). The roots of f are -4 and 0.
g(x) = (1/2)(x+3)(x-4). The roots of g are -3 and 4.
f and g share no roots in common.
7•2 + 7•23= pls help
Answers
Answer:
175
Step-by-step explanation:
if thats what you mean
Answer:
175
Step-by-step explanation:
7 times 2=14
7 times 23=161
161+14=175
hope this helps:)
plz can i get brainliest
Jill is flying a kite that has a 30ft. long string. If Jill is 5.4 ft. tall and her arm is making a 31-degree angle with the ground, how high is the kite in the air?
Answers
Answer:
20.85ft
Step-by-step explanation:
height of kite = person's height + vertical component of kite at the angle
= 5.4ft + 30sin31
=20.85ft
SOMEONE CAN HELP ME , PLEASE I NEED THIS NOW
Answers
You have 2 shapes, a rectangle and a half circle.
Area of rectangle = 3 x 8 = 24
Area of a half circle = 1/2 x pi x r^2
Area of half circle = 1/2 x 3.14 x 4^2
Area of half circle = 25.12
Total area = 24 + 25.12 = 49.12 square units
Answer:
You have 2 shapes, a rectangle and a half circle.
Area of rectangle = 3 x 8 = 24
Area of a half circle = 1/2 x pi x r^2
Area of half circle = 1/2 x 3.14 x 4^2
Area of half circle = 25.12
Total area = 24 + 25.12 = 49.12 square units
finished
....................
Answers
Answer:
11
Step-by-step explanation:
Jazmin takes a ride share service home from the airport. The ride share service charges $5 as an initial cost to pick her up, and $2.25 for every mile to her final destination. Jazmin's ride home cost a total of $38.75.
Write an equation to represent the situation. Let m represent the number of miles to her home. Do not use any spaces or extra symbols.
Answers
Answer:
[tex]5+2.25m=38.75[/tex]
Step-by-step explanation:
Let [tex]m[/tex] represent the number of miles to Jazmin's home.
Initial cost to pick Jazmin [tex]=\$5[/tex]
Cost per mile [tex]=\$2.25[/tex]
Therefore,
Cost for [tex]m[/tex] miles [tex]=\$2.25m[/tex]
Total cost of Jazmin's ride = Initial cost to pick Jazmin + Cost for [tex]m[/tex] miles
= [tex]5+2.25m[/tex]
Also, total cost incurred [tex]=\$38.75[/tex]
So, equation that represent the above situation is [tex]5+2.25m=38.75[/tex]
Paloma eats 2/3
of an apple in the morning and 3/8 more in the afternoon. How
much of the apple did she eat in total?
Answers
Answer:
25/24 or 1 and 1/24
Step-by-step explanation:
2/3 + 3/8 = 16/24 + 9/24 = 25/24 or 1 1/24
selena want s to find the area of the figure below. what is the area of the figure?
Answers
Answer:
52 m sq
Step-by-step explanation:
Due VOL
One number is 2 more than 2 times another. Their product is 12. Find the numbers.
Answers
An administrator at a local high school wants to investigate whether there is an association between the grade level of a student (either ninth, tenth, eleventh, or twelfth) and how the student commutes to school (either walks, bikes, takes the bus, receives a ride, or drives). After a chi-square test for association was conducted, the results indicated that the chi-square test statistic was 14.63 with a p-value of 0.2623. Which of the following is the correct interpretation of the p-value in the context of the test?
a. There is a 26.23 percent chance that grade level and how a student commutes to school are independent.
b. There is a 26.23 percent chance that there is no association between grade level and how a student commutes to school.
c. Assuming there is no association between a student's grade level and how the student commutes to school, there is a 26.23 percent chance of finding a test statistic that is 14.63 or larger.
d. Assuming that a student's grade level and the way the student commutes to school are dependent, there is a 26.23 percent chance of finding a test statistic that is 14.63 or larger.
e. Assuming that a student's grade level and the way the student commutes to school are dependent, there is a 26.23 percent chance of finding a test statistic that is 14.63 or smaller.
Answers
Answer:
c.
Step-by-step explanation:
The following is how the p-value should be interpreted:
The probability of getting the test statistics value at least as intense as it might have been acquired during the test, assuming the null hypothesis is true, is considered as the p-value.
Null hypothesis
[tex]\mathbf{H_o :}[/tex] A student's grade level has no bearing or association on how they commute to school.
Alternative hypothesis;
[tex]\mathbf{H_1: }[/tex] There is a link between a student's grade level and the way they get to school.
The test statistic's value is 14.63, and the p-value is 0.2636.
As a result, the p-value is interpreted as that of option c in the question.
Answer: C
Step-by-step explanation: Because the p value is less than 0.05 you know that your null hypothesis can be rejected and thus your alternative can have significant evidence to be proven. Thus you can eliminate answer choices B, and E. A and B can be rejected because your p value from your chi square test is telling you the likelihood of your chi square falling in a certain category of the graph.
What would be 57.99461679 rounded to the nearest whole number ?
Answers
Answer:
58
Step-by-step explanation:
58
boom. done.
more than .5 is round up
A snow storm hit Sanford with 7 inches of snow in 28
hours. What was the rate of the snowfall in inches per
hour?
Answers
Answer:
.25 in per hour
Step-by-step explanation:
you just divide 28/7 and you get the per hour and you can double check your work by doing .25 * any hour until you get 28
Answer:
it will be 4 inches per hour
Step-by-step explanation:
to find unit rate you will divide 28 and 7 and will get 4
Please help, will give brainliest
Answers
Write 8/15 as a decimal. If necessary round your answer to the nearest
hundredth.
Answers
Answer:
53%
Step-by-step explanation:
8 divided by 5 is equal 0.533333333
8/15 (just divide) is equal to 0.5333... or 0.54
:)
Here are some points. What is 2/5 out of twenty?
Answers
Answer:
8
Step-by-step explanation:
You just need to multiply 20 by 2/5
Or, multiply 20 by 2, then divide by 5.
20 x 2/5
40/5
8
2/5 of 20 = 40/5 or simply, 8.
Have a great day!
(Question # 2) What is the Mode of the following set of numbers: {3, 4, 6,
8, 8, 8, 14, 15, 16, 16