Answers
Answer:
[tex]6x^2+8x[/tex]
Step-by-step explanation:
Hey there!
In order to find the answer to this question, what you need to do is first find the area of the whole grey box as a whole (including the white box to)
The dimensions for this is 3x+2 and 4x
Now we know that to find area, we need to multiply length by height
So (3x+2)(4x) is what we have to solve to get the area
Now we simplify:
1. Distribute
2. [tex]12x^2+8x[/tex]
So now we know that the total area is [tex]12x^2+8x[/tex]
Now what we do is take out the area of the white box from the area of the grey box
Lets find the area of the white box:
l=3x (l - length)
h=2x (h - height)
[tex]3x*2x=6x^2[/tex]
Now we have the area of both shapes
Since we have all the information we need to find the final answer, the following steps below will be using the information we found to find the final answer:
In order to find the final answer which is the area of the shaded region, we take out the area of the white region from the total area of the grey region (including the white region)
So now we can formulate this new equation:
[tex]12x^2+8x-6x^2= ta[/tex]
(ta= total area)
Now we simplify:
[tex]6x^2+8x\\[/tex] is going to be our final answer
So our final answer is [tex]6x^2+8x[/tex]
Related Questions
The sum of three consecutive, positive, even integers is 18
more than twice the smallest. The integers are_____.
Answers
Answer:
5, 6, 7
Step-by-step explanation:
5 + 6 + 7 = 18
Answer:
15,16,17
Step-by-step explanation:
The question states, The sum of three consecutive, positive, even integers is 18 more than twice the smallest.
Let a,b,c be positive integers
Let a be the smallest integer.
Because the answer says the sum of the integers has to be 18 more than 2 x the smallest integer. It means the situation can be represented as:
a + b + c = 2a + 18
Because these numbers are consecutive, meaning they are right besides each other. Every variable can be written in terms of a.
a = a
b = a + 1
c = a + 2
Now we can solve for a:
a + (a+1) + (a+2) = 2a + 18
a + a + 1 + a + 2 = 2a + 18
3a + 3 = 2a + 18
a + 3 = 18
a = 15
then we can fill in the rest.
b = (15) + 1 = 16
c = (15) + 2 = 17
Now we verify.
15 + 16 + 17 = 2(15) + 18 ?
15 + 16 + 17 = 48
2(15) + 18 = 48
We now have the solution. The consecutive numbers, are, and can only be
15,16,17
The interior angle of a regular polygon is 154°, What is
the size of an exterior angle?
Answers
Answer: 26 degrees
Step-by-step explanation:
An interior angle and its exterior angle are supplementary.
Help anyone?Can u be specific and tell how u got it
Answers
Answer:
6 1/4
Step-by-step explanation:
3+2=5
2+3
1/2+3/4= ----------------------------------------------------
4
=5/4
=1 1/4
5+ 1 1/4
=6 1/4
solve the equation 5.5g+9=2.5g+27
a. find the value of g.
b. explain how you can check that the value you found for g is correct. if your check does not work, does that your result is incorrect?
Answers
5.5g+9=2.5g+27
Or, 5.5g-2.5g= 27-9
Or, 3g= 18
Or, g= 18/3
Or, g= 6
Hope it helped you.. I have no doubt that it is incorrect.
PLEASE HELP! DUE TODAY! TY!
In the figure, line segment AB is tangent to the circle at point A. Find the length of line segment AB.
Work:
AB =
Answers
Answer: 12 inches
Step-by-step explanation:
What is the distance from L1 to D? That is, what is the measure of the line segment L1D? Hint: review the diagram in "The Race Course" section of the Performance Task
there are no images.
Answers
A line segment in geometry is the part of a line which is bounded by two distinct end points.
What is line segment?Your information is incomplete. Therefore, an overview will be given. A line segment simply means a part of a line that has two endpoints.
A line segment contains end points and the points if the line that's between them. A segment is typically named by two endpoints like AB.
Learn more about line segments on:
https://brainly.com/question/2437195
The volume of a sphere is 75716 cm3.
Work out the radius of the sphere.
Answers
Answer:
Step-by-step explanation:
Givens
V = 75716
pi = 3.14
r = ?
Formula
V = (4/3) pi * r^3
Solution
75716 = (4/3) * 3.14 * r^3 Multiply both sides by 3/4
75716 * 3/4 = 3.14 * r^3
56787 = 3.14 r^3 Divide by 3.14
56787 / 3.14 = 3.14 * r^3/3.14
18085 = r^3
∛18985 = ∛ r^3
r = 26.25
5.5x = 11? Please help. :c
Answers
Answer:
The value x would equal to 2
11 divided by 5.5 = 2
5.5 x 2 =11
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
x = 2
Find the missing side. Round your answer to the nearest tenths.
X=
Answers
Answer:
16.5 ≈ x
Step-by-step explanation:
We have a right triangle where we know 1 side, 1 angle and we need to find another side. We can use trigonometric functions to find the missing side.
The tangent function definition is
tan α = opposite side/ adjacent side
In our problem
tan 70° = x/ 6, multiply both sides by 6 to isolate x
6 · tan 70° = x, use the calculator (make sure is set in degrees)
16.4848 ≈ x , round to the nearest tenths
16.5 ≈ x
Please just help. I’m stuck on math! Determining spinner probability Lol BUT please help! If you know how to do this
Answers
1. 2
2. 2
3. 4
4. 3 and 1
5. C
6. B
7. C and D
8. 3
9. 1 and 4
10. C
11. 2
12. D
You're Welcome✌! Brainliest would mean a lot.
The round temperature dial on a thermostat has a radius of 3 centimeters. What is the dial's diameter?
Answers
Answer:
6 cm
Step-by-step explanation:
A diameter of a circle is a line segment that connects one side of the circle to the other, passing through the center.
The distance from the center to any point on the circle is the radius. So, a diameter is the sum of a radius to one side of the circle and a radius to the other side of the circle. (The circle center is the midpoint of the diamter.)
The diameter is twice the radius:
d = 2 × (3 cm) = 6 cm
The dial's diameter is 6 cm.
The ratio of passenger cars to cargo cars in
the rail yard is 7:35. If there are 105 cargo
cars, how many cars are there altogether?
Answers
Answer:
126
Step-by-step explanation:
the number of cargo cars is represented by the 35 part of the ratio , then
105 ÷ 35 = 3 ← value of 1 part of the ratio , then
passenger cars = 7 × 3 = 21
total cars = 105 + 21 = 126
Solve for x.
32
(2x - 12)°
Answers:
x = 35
X= 51
x = 80
x = 96
Answers
karen and mary are saving money. karen has 150 and disposits an additional $25 a week. mary has $200 and deposits an additional $10 a week. what is the minimum number of weeks it will take for karen to have more saving then mary
Answers
Answer:
4 weeks
Step-by-step explanation:
original base amount 150 200
1st week deposit 175 210
2nd week deposit 200 220
3rd week deposit 225 230
4th week deposit 250 240
Factor completely 4xy−24y−x+6
Answers
(4xy-24y)(-x+6)
4y(x-6) -1(x-6)
(4y-1)(x-6) is the factored form
A study investigated the job satisfaction of teachers allowed to choose supplementary curriculum for their classes versus teachers who were assigned all curricular resources for use in their classes. The authors of the study wanted to know if the two groups of teachers had different levels of job satisfaction. They will use a significance level of 5% for their test. Upper-Tail Values a 5% 2. 5% 1% Critical z-values 1. 65 1. 96 2. 58 What is (are) the critical value(s) for z in this study? –1. 65 and 1. 65 –1. 96 and 1. 96 1. 65 1. 96.
Answers
The Critical z-values are -1.96 and 1.96 option second is correct.
It is given that the teachers were allowed to choose supplementary curriculum for their classes versus teachers who were assigned all curricular resources for use in their classes.
It is required to find the critical z-values.
What is the critical value of Z?It is defined as the area region enclosed by the standard normal curve or bell curve. It gives an idea about every variable, and what value of probability the variables acquire.
We are assuming the data given below:
x = 3.5
[tex]\mu =3.3[/tex]
[tex]\sigma = 0.6[/tex]
n = 40
We know the formula for the Z score:
[tex]\rm Z = \frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
[tex]\rm Z = \frac{3.5-3.3}{\frac{0.6}{\sqrt{40} } }[/tex]
Z = 2.10
The area under the normal distribution curve:
P(Z= 2.10) = 0.9821 ( from the z table)
We have null hypothesis H0: in the two groups, the level of job satisfaction is the same ie. with no difference.
H1: There is a significant difference in levels of job satisfaction.
The above hypothesis defined that the test is two-tailed which means there will be two rejection regions.
The critical z-values are:
-1.96 and 1.96 (from the critical value calculator at a 5% significance level with two-tailed)
Thus, the Critical z-values are -1.96 and 1.96 option second is correct.
Learn more about the critical value here:
https://brainly.com/question/13686040
A farmer has a total of 23 pigs and chickens. The 23 animals have a total
of 60 legs. How many pigs and how many chickens does the farmer have?
Answers
Answer:
7 pigs, 16 chickens
Step-by-step explanation:
p= pigs, c= chickens, legs= 60, number of pigs & chickens= 23
System of Equations:
Equation 1: [tex]p+c=23[/tex] would be [tex]23-p=c[/tex]Equation 2: [tex]4p+2c=60[/tex] for the legsThen, use substitution & solve:
[tex]4p+2(23-p)=54\\4p+46-2p=54\\4p-2p=8\\2p=8\\p=7[/tex]Now, plug [tex]p=7[/tex] back into [tex]23-p=c[/tex] to get c
[tex]23-p=c\\23-7=c\\c=16[/tex]Answer: 7 pigs, 16 chickens or [tex]p=7[/tex] and [tex]c=16[/tex]
To check your work, plug those solutions back into the system.------
(I hope that helps & good luck! <3)
Walnuts are priced
according to the chart
below.
POUNDS (LBS)
COST (S)
3
$7.77
5
$ 12.95
8
$20.72
What is price per pound for the
walnuts?
A.
$2.59
B. $3.86
C. $2.17
D. $3.07
Answers
Answer:
A. $2.59
Step-by-step explanation:
If you divide the costs by the pounds:
3/7.77 = 2.59
12.95/5 = 2.59
20.72/8 = 2.59
Therefore, the answers is $2.59
Hope this helps :)
Trigonometry, how would I find the area of this parallelogram?
Answers
Answer:
A ≈ 160 cm²
Step-by-step explanation:
the area (A) of a parallelogram given adjacent sides a and b and angle Θ between them is
A = absinΘ
here a = 12 , b = 15 and Θ = 117° , then
A = 12 × 15 × sin117° ≈ 160 cm²( to the nearest cm² )
in∆BDC
use sine rule for area
[tex]\\ \rm\rightarrowtail \dfrac{1}{2}absinC[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{1}{2}(12)(15)sin117[/tex]
[tex]\\ \rm\rightarrowtail 90(0.89)[/tex]
[tex]\\ \rm\rightarrowtail 80.1m^2[/tex]
Area of parallelogram=2(80.1)=160.2m^2Liliana is making a vase with a circular base. She wants the area of the base to be between 135 cm2 and 155 cm2. Which circle could represent the base of the vase? Use 3. 14 for Pi.
Answers
The area of the vase lies between the area [tex]135\ cm^2[/tex] and [tex]155\ cm^2[/tex] will be [tex]153.86\ cm^2[/tex].
What will be the area?As we know that the area of the circle is given by the formula
[tex]A=\pi r^2[/tex]
So now from the question, we will find the radius for both the given areas.
Radius for the first area
[tex]r=\dfrac{A}{\pi} =\dfrac{135}{\pi} =6.56\ cm[/tex]
Radius for the second area
[tex]r=\dfrac{A}{\pi} =\dfrac{155}{\pi} =7.03\ cm[/tex]
Now we can see the range of the radius lies
[tex]6.56\leq r\leq 7.03[/tex]
The radius must be r=7 cm lie between two quantities.
Then the area at r= 7cm will be
[tex]A=\pi r^2[/tex]
[tex]A=\pi\times 7^2=153.86\ cm^2[/tex]
Thus the area for the vase will be [tex]A=153.86\ cm^2[/tex] ar radius r= 7 cm
To know more about the Area of the circle follow
https://brainly.com/question/24375372
rohana wants to find the volume of a sphere that has a radius of 10 feet. which equation can she use to solve for this value in cubic feet ?
Answers
The equation that can be used to determine the volume of the sphere is 4/3π10³
What is the volume of the sphere?A sphere is a three-dimensional object in which points from its center to its circumference is equidistant.
Volume of a sphere = 4/3πr³
Where:
π = pi = 22/7r = radiusTo learn more about the volume of a sphere, please check: https://brainly.com/question/13705125
solve for x and please roundddd
Answers
We know the lengths of the adjacent and opposite sides when looking at the angle x, so we use those two sides to find the trig ratio.
So we use Opposite/adjacent (Tangent) Which is 54/72=0.75
Now we get out the trig ratio table. Because we used the tangent ratio (O/A) , we use that column to look for the closest number to 0.75.
The closest is 0.754, and the degree for it is 37 degrees
Rlly hope this helps :)))
HELP!!!! I can’t figure this out
Answers
Answer:
[tex]A.\,\orange{ \bold{ \frac{x - 3}{3x + 1} }}[/tex]
Step-by-step explanation:
[tex] \frac{x + 2}{ {x}^{2} + 5x + 6 } \div \frac{3x + 1}{ {x}^{2} - 9} \\ \\ = \frac{x + 2}{ {x}^{2} + 3x + 2x+ 6 } \div \frac{3x + 1}{ {x}^{2} - {(3)}^{2} } \\ \\ = \frac{\cancel{x + 2}}{ \cancel{{({x}+ 3)}} \cancel{(x+ 2) }} \times \frac{\cancel{( {x} + 3)}( {x} - {3)}}{3x + 1} \\ \\ = \purple{ \bold{ \frac{x - 3}{3x + 1} }}[/tex]
PLEASE I NEED HELP!!! BRAINLIEST FOR THE FASTEST ANSWER
Answers
Answer:
883.125
Step-by-step explanation:
First, use the formula for volume of a sphere (4/3 * pi * r^3) to get the volume of the full sphere, then divide it by 2 to get the volume of half of the sphere.
Hopefully this helps- let me know if you have any questions!
Given the 4 points below, identify what shape is formed and how you found your answer. Drawn out.
A(-1, 0), B(0, 2), C(4, 0), and D(3, -2)
Answers
My answer:
RectangleMy Explanation:
The reason why this is my answer, is because you can see in the picture, I have this coordinate grid, and on that, I drew out these points, and hence, I got this picture.
Refer to the picture below!
~BrainlyMaster~ - Helping Students
Which of the following situations results in 2/3 ? Select three that apply
Answers
Answer:
The first, second, and fourth questions.
Step-by-step explanation:
None of these result in an answer of 23, so I'm assuming that you meant 2/3.
"Two gallons of water are needed to fill 3 fish tanks of equal size. How many gallons of water are required for each tank?"
2 gallons divided between 3 tanks is 2 divided by 3, so 2/3.
"Three cats share 2 cans of tuna. How much of a can does each cat receive?"
2 cans divided between 3 cats - it's the same as the above problem, just with cats and tuna cans instead of tanks and gallons of water. Each cat gets 2/3 of a can.
"Two bags of bird seed are split among 5 parrots. What fraction of a bag does each parrot receive?"
2 bags divided between 5 parrots would be 2/5 of a bag for each parrot.
"Two apples are split among 3 people. How much of an apple does each person receive?"
Two apples split among 3 people - like the first 2 questions, this also equals 2/3.
"Three dogs each drink 2 cups of water. How many cups of water do the dogs drink in all?"
Three dogs EACH drink 2 cups of water means that the answer is 2*3=6 cups.
"Three cupcakes are divided among 2 children. How much of a cupcake does each child receive?"
Three cupcakes are split between 2 children - they will each get 3/2 of a cupcake, or 1 1/2.
I DONT KNOW WHAT IS 89090x908
Answers
Answer:
80 893 720
Step-by-step explanation:
hope dis helps!!!!
Justin buys candy that costs $6 per pound. he will buy at most 9 pounds of candy. what are the possible amounts he will spend on candy? use for the amount (in dollars) justin will spend on candy. write your answer as an inequality solved for c.
Answers
Using proportions, it is found that the possible amounts that he will spend on candy are represented by the inequality [tex]c \leq 54[/tex].
What is a proportion?A proportion is a fraction of a total amount.
In this problem, each pound of candy costs $6, and he will buy at most 9 pounds, hence the maximum amount he will spend is given by:
M = $6 x 9 = $54.
Hence, the possible amounts that he will spend on candy are represented by the inequality [tex]c \leq 54[/tex].
More can be learned about proportions at https://brainly.com/profile/joaobezerra-15918078
The base of a triangle is 75 cm and its height is 12
12 cm. Find its area.
Answers
Answer:
Here is your answer
Step-by-step explanation:
Solution,
here,
Base is 75 cm
Height is 12 cm
Now,
Area of triangle=1/2×b×h
=1/2×75×12
= 900/2
=450. ans
Find the volume of the given figure. Round your answer to the nearest tenth. See picture for full problem. Please and thank you so much!(:
Answers
Answer:
146.7
Step-by-step explanation:
The equation for finding the volume of a pyramid is [tex]V = \frac{l w h}{3}[/tex].
For this pyramid, the height is 8, the width is 5, and the length is 11.
[tex]\frac{11x5x8}{3}[/tex]=146.67
146.67 rounded to the nearest tenth = 146.7.