Answers
Answer:
392 square inches
Step-by-step explanation:
To solve this we need to look at this quadrilateral as two shapes that share a side - a triangle and a rectangle.
You can see in the attatchment how I have drawn a dotted line indicating where they share a side.
From here we find the area of each shape seperately and add those areas together!
Rectangle:
Looking at the rectangle portion we can see that the width is 16 in and the length is 19 inches. Don't be fooled by the long 30 inch side. Remember, we are only looking at the portion that makes up the rectangle.
A = l*w = 16*19 = 304 inches squared
Triangle:
To find the area of the triangle, we use the formula A = (b*h)/2 where b = the length of the base and h = the height.
We can see in this attatched drawing that the height of the triangle is the same length as the width of the rectangle which is 16 inches.
To find the base, you can do one of two things.
1) use the pythagorian theorem (A^2 + B^2 = C^2) to solve for the missing side of the right triangle, where A is 16 inches, B is unknown and C is 19.4 inches.
2) *easier* using the information given, we can see that the longest side of this shape is 30 inches and is made up of the length of the rectangle (19 inches) and the base of the triangle (which is unkown - we can call it x)
Given that we know the total length and the length of the portion that belongs to the rectangle, we can say x = 30-19 = 11. Therefore the base of the rectangle is 11 inches.
From here we use b*h/2
11*16/2 = 88 = area of the triangle in square inches.
Now for the easy part - add up the areas for the total!
Area (rectangle) + Area (triangle) = Area (total)
304 + 88 = 392 square inches
Related Questions
A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 1 yard long, and the height of the equilateral triangle is 0.9 yards. The pyramid's slant height is 1 yard. What is its surface area?
Answers
Answer:
base: 1/4 * 12^2 * √3 = 36√3
each face: 1/2 * 12 * 8 = 48
Now finish it off
Step-by-step explanations:
Fifteen less than the square of a number is the same
as twice the number. Find the number.
Answers
Call the number : a
We have : [tex]a^{2} - 15 = 2a[/tex]
[tex]- > a^{2} - 2a = 15 - > a(a-2) = 15[/tex]
Now, we list all the numbers that can be multiplied to get 15 :
1 x 15 (and reverse)
3 x 5 (and reverse)
-1 x (-15) (reverse)
-3 x (-5) (a l s o r e v e r s e)
We substitute in :
If a = 1 -> a(a-2) = 1 x (-1) = -1 (not equal 15)
If a = 3 -> a(a-2) = 3 x 1 = 3 (not equal 15)
If a = -1 -> a(a-2) = -1 x (-3) = -3 (also not equal 15)
And if a = -3 -> a(a-2) = -3 x (-5) = 15 (satisfied)
So, the number is -3
Recheck : -3(squared) - 15 = 9 - 15 = -6
Twice of -3 = -6
[tex]========================================[/tex]
First of all, let the unknown number be z.
Then, "the square of z" means "z squared" which is the same as "z times z" or just z².
Now, "fifteen less than the square of z" means we subtract 15 from z²:
z²-15
Then, this equals twice the number, or 2 times z:
z²-15=2z
[tex]========================================[/tex]
Notes:-Hope everything is clear.Let me know if you have any questions!Always remember: [tex]\boxed{Knowledge~is~power!}[/tex]Enjoy your day!Answered by[tex]\boxed{An~Emotional~Helper}[/tex]:-)
PLSS help this is important
(will give brainliest)
Answers
Answer:
A (first one)
Step-by-step explanation:
From T to T' you add 2 to the x and subtract 3 from the y
Then you do that to the x and y on O and Y
So for O, -4+2 is -2 and 1-3=-2
then you just do that for Y and you get (0,0) when applied
In the figure below, mR is 66°, and mT is 130°. Note: Figure is not drawn to scale. What is mQ? A. 24° B. 50° C. 64° D. 116°
Answers
Answer:
b
Step-by-step explanation:
i just think so correct me if im wrong
helpppp :) 50 points
An equation is shown below:
4(2x – 5) = 4
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work. (6 points)
Answers
Answer:
x = 3
Step-by-step explanation:
A only 1 solution
B
4(2x - 5) = 4 ( divide both sides by 4 )
2x - 5 = 1 ( add 5 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Answer:
[tex]\boxed{\sf{x=3}}[/tex]Step-by-step explanation:
Isolate it by the term of x from one side of the equation.
Part A. There will be one solution.Part B.4(2x-5)=4First, divide by 4 from both sides.
[tex]\sf{\dfrac{4\left(2x-5\right)}{4}=\dfrac{4}{4}}[/tex]
Then, solve.
4/4=1
Rewrite the problem down.
2x-5=1
Add by 5 from both sides.
[tex]\sf{2x-5+5=1+5}[/tex]
Solve.
1+5=6
2x=6
Divide by 2 from both sides.
2x/2=6/2
Solve.
Divide the numbers from left to right.
6/2=3
x=3
Therefore, the correct answer is x=3.I hope this helps you! Let me know if my answer is wrong or not.
I am thinking of a number. The sum of its digits is divisible by 2. My number is a multiple of 11. My number is greater than 4 x 5 but less than 7 x 8+ 23. The number is a multiple of 3. What is my number? Is it possible to have more than one answer?
Answers
Answer:
66
Step-by-step explanation:
Number:xy
20<xy<79
Multiples of 2,3,11
The least common multiple of this number is 66.
The rule for the number of fish in a home aquarium is 1 gallon of water for each inch of fish length. Marta's aquarium holds 39 gallons of water and Hank's aquarium hold 51 gallons of water. The aquarium holds two types of fish, fish A and fish B. If Marta bought 3 of fish A and 2 of fish B, and Hank bought 3 of fish A and 4 of fish B, how long is fish A and how long is fish B?
Answers
Answer: Fish A: 9 inches ; Fish B: 6 inches
Step-by-step explanation:
This can be turned into a systems of equation, where x equals the length of fish A and y equals the length of fish B:
3x + 2y = 39 → -3x - 2y = -39
3x + 4y = 51 → 3x +4y = 51
Combine: 0 + 2y = 12 → y = 6 inches.
Plug back in: 3x + 2(6) = 39 → 3x = 27 → x = 9 inches.
Find the value of log 1 2 462 to four decimal places. –8.8517 –0.1130 0.1130 8.8517
Answers
The logarithm value of log 1/2 462 to four decimal places is –8.8517.
What is a logarithm?The logarithm is the mathematical inverse function to exponentiation.
The logarithm of a number x is the exponent to another fixed term.
It is given the log of 462 to a base of 1/2.
[tex]log_{0.5} 462 = \frac{log462}{log0.5}[/tex]
= –8.8517
Therefore, the logarithm value of log 1/2 462 to four decimal places is
–8.8517.
Learn more about logarithm :
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can you pls help me i need it?
Answers
Answer:
$114.75
Step-by-step explanation:
You have to multiply the hours by the wage. Looking at the time that the worker was in during the morning, it was a total of 4 hours. Since the wage is $13.50/hr, we would multiply 13.50 by 4.
13.50 * 4 = 54.00
So, now we have to add together the total hours in the afternoon. If we count the time, we get 4 1/2 hours. So, now we multiply 13.50 by 4.5.
13.50 * 4.5 = 60.75
Now, to find the total pay for that day, we add both the morning and the afternoon pay together.
54.00 + 60.75 = 114.75
Therefore, the pay for this day is $114.75.
please help i am confused.
Answers
A cylinder has a volume of 320 pi cubic inches and a height of 5 inches what is the radius
Answers
Answer:
As Per Provided Information
A cylinder has a volume of 320 pi cubic inches and a height of 5 inches.
We have been asked to determine the radius of the cylinder .
Using Formulae
[tex] \purple{\boxed {\bf\: Volume_{(Cylinder)} = \pi {r}^{2}h}}[/tex]
Substituting the value and let's solve for radius .
[tex] \sf \qquad \longrightarrow \: 320 \pi \: = \pi \: \times r {}^{2} \: \times 5 \\ \\ \\ \sf \qquad \longrightarrow \:320 \cancel{\pi} = \cancel{ \pi} \times r {}^{2} \: \times 5 \\ \\ \\ \sf \qquad \longrightarrow \:320 = r {}^{2} \: \times 5 \\ \\ \\ \sf \qquad \longrightarrow \:r {}^{2} \: = \cfrac{320}{5} \\ \\ \\ \sf \qquad \longrightarrow \: {r}^{2} = \cancel\cfrac{320}{5} \\ \\ \\ \sf \qquad \longrightarrow \: {r}^{2} = 64 \\ \\ \\ \sf \qquad \longrightarrow \:r \: = \sqrt{64} \\ \\ \\ \sf \qquad \longrightarrow \:r \: = 8 \: inch[/tex]
Therefore,
Radius of cylinder is 8 Inches .Volt Electronics sells a Y-Box game console for $207. The store markup on thr Y-Box is 38%. What was the wholesale price that the store paid for it?
Answers
The wholesale price that the store paid for the Y-Box game is $150.
What is the wholesale price?When the price of an item is marked up, it means that the price of the item was increased by a certain percentage. The good then becomes more expensive.
Wholesale price = selling price / ( 1 + percentage mark up)
$207 / (1+ 38)
$207 / (1.38) = $150
To learn more about profit, please check: https://brainly.com/question/26181966
What are the y-intercept and the horizontal asymptote of g(x) = 4x + 3?
(0, 3); y = 4
(0, 4) ; y = 3
(0, 5) ; y = 4
(0, 7) ; y = 3
Answers
Using exponential function concepts, it is found that that the y-intercept and the horizontal asymptote are given by, respectively:
(0, 3); y = 4
What is an exponential function?It is modeled by:
[tex]y = ab^x + c[/tex].
In which:
a is the initial value.b is the rate of change.y = c is the horizontal asymptote.In this problem, the equation is:
[tex]y = 4^x + 3[/tex].
Hence the horizontal asymptote is y = 3, and the y-intercept is y when x = 0, hence:
[tex](0,y) = (0, 4^0 + 3) = (0, 4)[/tex]
Which means that the first option is correct.
More can be learned about exponential function concepts at https://brainly.com/question/25537936
Answer:
B. (0, 4) ; y = 3
Step-by-step explanation:
I took the exam for algebra 2
PLEASE HELP ME! THERE IS A PICTURE
Answers
Answer:
I think 10
letter C.
Step-by-step explanation:
divide *2
Four eighths of kelly’s beads are red, 18 are white, and the rest are blue.
what fraction of kelly’s beads are blue?
Answers
Use your TI-83 to determine the necessary t* value for a 90% confidence interval
based on a sample size of 55 and a sample standard deviation of 7.42.
2.005
1.669
1.96
1.645
2.67
Answers
Answer:
Step-by-step explanation:
It is 1.645. My calculator is a little off though; see attached picture.
What is the center and radius of the circle given by x2 + y2 - 10x - 12y + 24 = 0?
Answers
Answer:
centre (5, 6 ) , r = [tex]\sqrt{37}[/tex]
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r the radius
given
x² + y² - 10x - 12y + 24 = 0 ( collect x and y terms together and subtract 24 from both sides )
x² - 10x + y² - 12y = - 24
using the method of completing the square
add ( half the coefficient of the x / y terms)² to both sides
x² + 2(- 5)x + 25 + y² + 2(- 6)y + 36 = - 24 + 25 + 36
(x - 5)² + (y - 6)² = 37 ← in standard form
with centre (h, k ) = (5, 6 ) and r = [tex]\sqrt{37}[/tex]
Prism M is a dilation of Prism N. The height of Prism M is 4 3/4 ft, and the volume of Prism M is 68 2/5 ft³. The height of Prism N is 2 3/8 ft. What is the volume of Prism N?Enter your answer as a mixed number in simplest form by filling in the boxes.
Answers
Answer:
8 11/20 ft³
Step-by-step explanation:
For dilated figures, the ratio of volumes is the cube of the ratio of corresponding linear dimensions.
Vn/Vm = (Hn/Hm)³
Vn = Vm(Hn/Hm)³ = (68 2/5 ft³)((2 3/8 ft)/(4 3/4 ft))³
Vn = (342/5 ft³)((19/8)/(19/4))³ = (342/5 ft³)(1/2)³ = 342/40 ft³
Vn = 8 11/20 ft³
The volume of Prism N is 8 11/20 ft³.
Answer:
The answer is 8 11/20.
Given the equation of a circle. X^2+ y^2 - 6x + 2y +1 = 0, find the coordinates of the center and the length of the radius.
Coordinates for the center=
Length of the radius =
Answers
Answer:
I know the answer but you may select me as Brainliest
Center: (3, -1)
Radius: 3
Steps:
Rewrite in standard form to find the center
(h,k) and radius.
x^2 + y^2 - 6x + 2y + 1 = 0
Standard Form: (x - 3)^2 + (y + 1)^2 = 9
Center: (3, -1)
Radius: 3
The first term of a geometric sequence is 4 and grows exponentially by a factor of 3. Murphy writes out the terms and says that the sum of the 4th and 5th terms is 1,296. Explain Murphy's error and correct it. (Fill in the blanks)
Murphy added terms
____
together. The correct sum of the 4th and 5th terms is ___
(Simplify your answer.)
Answers
The geometric sequence can increase or decrease exponentially
The correct sum of the 4th and the 5th terms is 432
How to determine the correct sum?The given parameters are:
Initial value (a) = 4
Growth factor (r) = 3
The nth term of a geometric sequence is calculated as:
[tex]T_n = ar^{n-1}[/tex]
This gives
[tex]T_n = 4 * 3^{n-1}[/tex]
For the 4th term; we have:
[tex]T_4 = 4 * 3^{4-1}[/tex]
[tex]T_4 = 108[/tex]
For the 5th term, we have:
[tex]T_5 = 4 * 3^{5-1}[/tex]
[tex]T_5 = 324[/tex]
Add the 4th and the 5th terms
Sum = 108 + 324
Sum = 432
Hence, the correct sum of the 4th and the 5th terms is 432
Read more about geometric sequence at:
https://brainly.com/question/24643676
graph "-3n+4<25" on a line plot
Answers
Answer:The solution is in the attached file
Step-by-step explanation:
hello, me again polease help me with this, and show work
Answers
Answer:
Hope it helps u
Step-by-step explanation:
1.7
1.749
1.75
1.775
1.796
1.84
Answer:
the order would go 1.7, 1.749, 1.75, 1.775, 1.796, then 1.84.
Step-by-step explanation:
becuase if you ignore how long the numbers are, and focus on numerical order like 1, 2, 3, and apply that to this, this becomes the order.
What points should I circle and in which point do they intersect?
I WILL MARK BRAINLIEST AND GIVE THANKS
Answers
Answer:
[tex]\displaystyle [3, -2][/tex]
Explanation:
All you do is substitute three in for [tex]\displaystyle x[/tex]to get the y-coordinate of [tex]\displaystyle -2.[/tex]This means that these equations meet at the ordered pair of [tex]\displaystyle [3, -2].[/tex]
I am joyous to assist you at any time.
Tiana bought 3 video games that each cost
the same amount. The tax on each video
game was $1.29. She paid a total of $68.37
after tax. What was the price of each video
game, before tax?
a
Answers
well, we know she paid a total after tax of $68.37, we also know that each game had a tax of $1.29, so 3 games that'll be 3 * 1.29 = 3.87.
so if we take out the tax from 68.37, that'll be 68.37 - 3.87 = 65 bucks.
we know each game cost the same amount so 65 ÷ 3 ≈ 21.67 before tax.
Tiana bought 3 video games at a cost of $22.36 each, before tax. The total amount paid after tax was $68.37.
Given that,
Tiana bought 3 video games.
The cost of each video game was the same.
The tax on each video game was $1.29.
Tiana paid a total of $68.37 after tax.
To find the price of each video game before tax,
Start by subtracting the total tax from the total amount paid.
Tiana paid a total of $68.37 after tax and the tax on each video game was $1.29.
So, subtract the tax from the total amount to get the price before tax.
$68.37 - $1.29 = $67.08.
Since Tiana bought 3 video games,
Divide the total price before tax by 3 to find the price of each video game.
$67.08 ÷ 3 = $22.36.
Hence, the price of each video game before tax was $22.36.
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#SPJ3
If the scale factor here is 3 (k=3), and if the distance from A to B is 8 units, then what would be the distance from A’ to B’?
8
8/3
24
3
Answers
Distance between A'B':-
8k8(3)24Option C
In the figure below, triangle ABC undergoes a reflection and a translation to become triangle PQR. In triangle ABC, m
The angle measures of triangle PQR are: m
Answers
Answer:
Step-by-step explanation:
A corresponds to angle P, so angle P measues 70 degrees.
Similarly, angle Q measures 60 degrees and angle R measures 50 degrees.
What shape am i 3equal side each 4cm not right angles
Answers
Answer:
Triangle
Step-by-step explanation:
A regular triangle has equal sides and no right angles. Hope this helps. ^^
Use the dot plot to answer the question.
A dot plot that has 3 dots at 1, 4 dots at 2, 3 dots at 3, 4 dots at 4, 5 dots at 5, & 3 dots at 6.
What is the mean of the data set in the dot plot?
Enter your answer as a number rounded to the nearest tenth, like this: 42.5
Answers
name 2 semi circles
Answers
Answer:
Arc CDE and arc EAC.
Step-by-step explanation:
Semicircles are exactly one-half of a circle and are always equal to 180 degrees. Since line CE is a horizontal line, measuring 180 degrees, 2 semicircles can be arcs CDE and EAC because they equal half of the circle.
I hope this helps!
Solve for A
ASAP ANSWER
Answers
Step-by-step explanation:
A = B
7x + 40° = 3x + 112°
7x - 3x = 112° - 40°
4x = 72°
x = 18°
A = 7x + 40°
= 7(18°) + 40°
= 126° + 40°
= 166°
hope it help
can you help to answer my question? my math is better ,but my english is bad ,can you help me,please