Light shines through window what is the area of a trapezoid shaped region created by the light
Answers
Answer:
16 ft²
Step-by-step explanation:
The complete question is attached.
A trapezoid is a quadrilateral (has four sides) with one a parallel base. The base angles and the diagonals of an isosceles trapezoid are equal.
The area of a trapezoid = [(sum of the parallel bases) / 2] * height of the trapezoid.
Given that the parallel bases are 3 ft and 5 ft, while the height of the trapezoid is 4 ft. Hence:
The area of a trapezoid = [(3 + 5)/2] * 4
The area of a trapezoid = 16 ft²
Answer:
Step-by-step explanation:
16
Related Questions
Which situation does NOT show causation?
A. When the amount of sugar in a quart of apple juice is reduced, there are fewer calories in each serving.
B.When the student population at a school increases, the number of teachers at the school increases.
C.When there are more workers on a project, the project is completed in less time.
D.When there is more protein in an athlete’s diet, the athlete scores more points in a game.
I'LL GIVE YOU BRAINLIEST IF YOUR RIGHT
Answers
Hope this helps
Answer:A
Step-by-step explanation:
can someone please help me with this question? i’m not sure how to write it out. i really need help!!!!
Answers
Answer:
attached.
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
you will have x+2 >1 and -(x+2) >1
remember when you divide by a negative, you switch the inequality sign. for the second expression, you switch from > to <
For the graph, shade in the areas where the red line is greater than 1 (the green line) on both sides of the V shape.
please give thanks by clicking the heart button! :)
Math math math math math
Answers
Answer:
140
Step-by-step explanation:
35/ 100 = 49/?
49 times 100 equals 4900
4900/35 is 140
Answer:
To find the whole, divide the part and the percent. Always but the part as the numerator and the percent as the denominator. 49/35% = 140 total apartments
Step-by-step explanation:
A company which uses the revaluation model for its PPE bought a building on 1 January 2014 for £50m. The building has an estimated useful life of 50 years and nil residual value. On 31 December 2018, the building was revalued at £40.5m and on 31 December 2020 it was revalued for a second time at £39m. The company uses the straight-line method of depreciation for all PPE items. There was no change to the remaining useful life after each revaluation. What is the net effect of both revaluations on the statement of comprehensive income?
Answers
Answer:
The net effect of both revaluations on the statement of comprehensive income is a net revaluation loss of £4.20m that will reduce the comprehensive income by the exact amount of £4.20m.
Step-by-step explanation:
This can be determined using the following 3 steps:
Step 1: Calculation of the effect of first revaluation: from 01 January 2014 to 31 December 2018
Building cost = £50
Number of useful life = 50
Revalued amount on 31 December 2018 = £40.5m
Annual depreciation expenses from 01 January 2014 to 31 December 2018 = Building cost / Number of useful life = £50m / 50 = £1m
Number of years from 01 January 2014 to 31 December 2018 = 5
Total depreciation expenses from 01 January 2014 to 31 December 2018 = Annual depreciation expenses from 01 January 2014 to 31 December 2018 * Number of years from 01 January 2014 to 31 December 2018 = £1m * 5 = £5m
Net book value on 31 December 2018 = Building cost - Total depreciation expenses from 01 January 2014 to 31 December 2018 = £50m - £5m = £45m
Revaluation loss from the first revaluation = Net book value on 31 December 2018 - Revalued amount on 31 December 2018 = £45m - £40.5m = £4.50m
Step 2: Calculation of the effect of second revaluation: from 01 January 2019 to 31 December 2020
Revalued amount on 31 December 2020 = £39m
Number of useful life remaining after 31 December 2018 = Number of useful life - Number of years from 01 January 2014 to 31 December 2018 = 50 - 5 = 45
Annual depreciation expenses from 01 January 2019 to 31 December 2020 = Revalued amount on 31 December 2018 / Number of useful life remaining after 31 December 2018 = £40.5m / 5 = £0.90
Number of years from 01 January 2019 to 31 December 2020 = 2
Total depreciation expenses from 01 January 2019 to 31 December 2020 = Annual depreciation expenses from 01 January 2019 to 31 December 2020 * Number of years from 01 January 2019 to 31 December 2020 = £0.90 * 2 = £1.80
Net book value on 31 December 2020 = Revalued amount on 31 December 2018 - Total depreciation expenses from 01 January 2019 to 31 December 2020 = £40.5m - £1.80 = £38.70m
Revaluation surplus from the second revaluation = Revalued amount on 31 December 2020 – Net book value on 31 December 2020 = £39m - £38.70 = £0.30m
Step 3: Calculation of the net effect of both revaluations on the statement of comprehensive income
Net revaluation loss = Revaluation loss from the first revaluation - Revaluation surplus from the second revaluation = £4.50m - £0.30m = £4.20m
Therefore, the net effect of both revaluations on the statement of comprehensive income is a net revaluation loss of £4.20m that will reduce the comprehensive income by the exact amount of £4.20m.
The net effect of the revaluations on December 31, 2018 and December 31, 2020 is that the comprehensive income will reduce by £11 million.
Data and Calculations:
Cost of PPE on January 1, 2014 = £50 million
December 31, 2018:
Revaluation amount = £40.5 million
Revaluation Loss = £9.5 million (£50 million - £40.5 million)
New book value = £40.5 million
December 31, 2020:
Revaluation amount = £39 million
Revaluation Loss = £1.5 million (£40.5 million - £39 million)
New book value = £39 million
Total Revaluation Loss = £11 million (£9.5 + £1.5 million)
Thus, the net effect of both revaluations on the company's statement of comprehensive income is reduction of £11 million.
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The Bryant family bought 7 bags of cookies. Each bag had 13 cookies. They have since eaten 29 of the cookies. How many cookies do they have left?
Answers
Answer:is 7x13=91-29=62
Step-by-step explanation:
i took the test on edge
91
Answer:
solution
1bag =13coikies
7bags=???
we take (7bag ×13 cookies)\1bagthen it will be 91cookiesthen we take 91COKIES-29COKIE so us to get the number of cookies left it will be 62 cokiesIf you answer correctly I will give you brainlest GOES TO THE FIRST PERSON WHO ANSWERS CORRECTLY!
Answers
Answer:
A) slope is -12
B)The rate of change is constant because for every 5 seconds the change is the same. For every 5 seconds, the height decreases by 60ft. The equation is y=12x+1210
Step-by-step explanation:
I need the answer pronto, NOW, ASAP.
Find the slope between the points (3, -3) and (12, -2).
Answers
Answer:
slope = (-2 +3) / (12 -3)
= 1/9
ARITHMETIC
SEQUENCE
40, 43, 46, 49, 52, ...
Answers
Answer:
3
Step-by-step explanation:
Going backwards from 52 to 49 is 3.
for geometry:(
will give brainist to the correct answer!!!
Answers
Answer:
y = ⅔x - 5
Step-by-step explanation:
To write the equation, find the slope (m), to enable you write the equation of the line in point-slope form given a point, (-3, -7) that the line passes through.
Since the line is parallel to 2x - 3y = 24,, it would have the same slope (m) value.
Rewrite 2x - 3y = 24 in slope-intercept form.
Thus:
2x - 3y = 24
-3y = -2x + 24
y = ⅔x - 12
The slope of 2x - 3y = 24 is ⅔. Therefore, the line that is parallel to 2x - 3y = 24 is also ⅔.
To write the equation of the line, substitute (a, b) = (-3, -7) and m = ⅔ into y - b = m(x - a)
Thus:
y - (-7) = ⅔(x - (-3))
y + 7 = ⅔(x + 3)
y + 7 = ⅔x + 2
y = ⅔x + 2 - 7
y = ⅔x - 5
1. The thickness of a quarter is 24.26 mm, while that of a nickel is 1.95 mm. Find the
difference in the thickness of these two coins.
a) 23.31 mm
b) 22.31 mm
c) 24.21 mm
d) 26.22 mm
Answers
Answer:
The answer is B.
Step-by-step explanation:
To find the difference thickness between these 2 coins, you have to minus :
24.26 - 1.95 = 22.31 mm
Answer:
Solution :-We will subtract the thickness of quarter to the nickel
[tex] \tt \: 24.26 - 1.95[/tex]
[tex] \tt \: 22.31[/tex]
Hence :-Option B is correct
(19x-18) (7x+1) (10x-9) find x
Answers
Answer:
x = 5
Step-by-step explanation:
combine the like terms :)
can someone please help explain this to me? i’ll give brainliest
Answers
Answer:
It's B/the 2nd one
Step-by-step explanation:
So first eliminate the third one because that says plus 4, the Y intercept is 3 so it has to be + 3 which leaves us we A, B, and D.
Then we can eliminate D, the slope is going downward, so it cannot be positive, and it's positive so that leaves us with A and B
The answer is B because of how steep the line is.
Pedro has a student loan of $62,845. This loan has a simple interest rate of 7% per year. What is the amount of interest that Pedro will be charged on this loan at the end of the year?
Answers
P=62,845
R=0.07 or 7%
T=1 year period
So overall your equation is 62845*0.07*1=$4,399.15
Now at this point the interest is added onto the principal amount to figure out some new amount after one year so:
62845.00+4399.15=$67,244.15
What is the equation of the line in point-slope form containing the points (4, -1) and (10, 0)?
Answers
(0+1)/(10-4)= 1/6
Point slope: (y-y1) = m(x-x1)
Solution: (y+1) = 1/6(x-4)
Answer:
The equation of the line in point-slope will be:
[tex]y\:=\:\frac{1}{6}x-\frac{5}{3}[/tex]
Step-by-step explanation:
Given the points
(4, -1)(10, 0)Finding the slope between (4, -1) and (10, 0)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(4,\:-1\right),\:\left(x_2,\:y_2\right)=\left(10,\:0\right)[/tex]
[tex]m=\frac{0-\left(-1\right)}{10-4}[/tex]
[tex]m=\frac{1}{6}[/tex]
We know that the slope-intercept form of the line equation is
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
Using the slope-intercept form to find the y-intercept 'b'
[tex]y = mx+b[/tex]
substituting m = 1/6 and the point (4, -1)
[tex]-1\:=\:\frac{1}{6}\left(4\right)+b[/tex]
[tex]\frac{2}{3}+b=-1[/tex]
subtract 2/3 from both sides
[tex]\frac{2}{3}+b-\frac{2}{3}=-1-\frac{2}{3}[/tex]
[tex]b=-\frac{5}{3}[/tex]
now substituting b = -5/3 and m = 1/6 in the slope-intercept form
[tex]y = mx+b[/tex]
[tex]y\:=\:\frac{1}{6}x+\left(-\frac{5}{3}\right)[/tex]
[tex]y\:=\:\frac{1}{6}x-\frac{5}{3}[/tex]
Therefore, the equation of the line in point-slope will be:
[tex]y\:=\:\frac{1}{6}x-\frac{5}{3}[/tex]
About 9/10 Of the avocados grown in the United States are in California about what percent of our car is going in the United States are grown in California?
Answers
Answer:
9/10 x 100% = 90%
Step-by-step explanation:
The question is asking us to convert the given fraction, 9/10, to percentage. As we know, to convert any number to percentage, we simply multiple by 100%. We are not changing the value because 100% means 100/100 = 1. So, we are basically multiplying by 1.
Since we are told that 9/10 avocados grown in the US are grown in California, then the percentage would be:
9/10 x 100% = 90%
Jordan is another employee at the same coffee shop. He has worked there longer than Gabe and earns 3 more per hour than Gabe. How much money will he earn after the following hours: 4, 8 ,12 and 16
Answers
Answer:
1.
- Gabe earns 13.5 per hour
2.
x ------------------ 4 ---- 8 --------- 12 ------ 16
Earnings ----- 57 ---- 111 ------- 165------ 219
Step-by-step explanation:
See attachment for complete question
Solving (a): Gabe's earnings per hour,
To do this, we simply calculate the slope (m) of the table.
[tex]m = \frac{y_2 - y_1}{x_2- x_1}[/tex]
Where
[tex](x_1,y_1) = (3,40.5)[/tex]
[tex](x_2,y_2) = (6,81.0)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2- x_1}[/tex]
[tex]m = \frac{81 - 40.5}{6 - 3}[/tex]
[tex]m = \frac{40.5}{3}[/tex]
[tex]m = 13.5[/tex]
Hence, Gabe earns 13.5 per hour
Solving (b): Jordan earnings
First, we calculate the equation of Gabe's table using:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex]m = 13.5[/tex] and [tex](x_1,y_1) = (3,40.5)[/tex]
[tex]y - 40.5 = 13.5(x - 3)[/tex]
[tex]y - 40.5 = 13.5x - 40.5[/tex]
[tex]y = 13.5x[/tex]
If Jordan earns 3 more per hour than Gabe, then: Jordan's equation would be;
[tex]y = 13.5x + 3[/tex]
When x = 4
[tex]y = 13.5*4 + 3 = 54 + 3 = 57[/tex]
When x = 8
[tex]y = 13.5*8 + 3 = 108 + 3 = 111[/tex]
When x = 12
[tex]y = 13.5*12 + 3 = 162 + 3 = 165[/tex]
When x = 16
[tex]y = 13.5*16 + 3 = 216 + 3 = 219[/tex]
The sum of two numbers is 69. One number is 13 less than the other. Find the numbers.
Answers
Answer:
41, 28
Step-by-step explanation:
x+x-13=69
2x=69+13=82
x=82/2=41
41-13=28
Solve: 12 + (-13) - 12 - 5
A: 14
B: -12
C: -18
D: 45
Answers
Answer:
-18
(i think this is right, sorry if i'm wrong)
. Rama subtracted 7 from thrice the number of marbles she has, and she gets the result as 20.
Answers
Complete question :
Rama subtracted 7 from thrice the number of marbles she has, and she gets the result as 20. Find the number of marbles she has
Answer:
9 marbles
Step-by-step explanation:
Let The number of marbles she has = x
3 times the total - 7 = 20
That is ;
3x - 7 = 20
3x = 20 + 7
3x = 27
x = 27/3
x = 9
Number of marbles she has = 9
HELP PLS 40 points!!?????!?????????
Answers
Answer:
no clue
Step-by-step explanation:
very sorry
im in 5th grade
im only in 5th grade aswell *-*
thank you so much for free points<3!!!!
Find Mack's debt-to-income ratio if his monthly expenses are $2850 and his monthly salary is $4000
Pls help mee
Will give brain if u show a little bit of work !!!!
Answers
Answer:
$1,120
Step-by-step explanation:
Lenders prefer to see a debt-to-income ratio smaller than 36%, with no more than 28% of that debt going towards servicing your mortgage. 12 For example, assume your gross income is $4,000 per month. The maximum amount for monthly mortgage-related payments at 28% would be $1,120 ($4,000 x 0.28 = $1,120).
Fractions help please??
Answers
Answer:
3/4
Step-by-step explanation:
HELP PLEASE I AM STRUGGLING!
Answers
Answer:
D\
Step-by-step explanation:
Answer: The answer should be D
Step-by-step explanation:
Please help asap!!!!!!
vvvvvvvvvvvvvvvvvvvvvvvvv question below vvvvvvvvvvvvvvvvvvvvvvvvvvvv
Answers
Answer:
3 units
Step-by-step explanation:
Translating a segment does not change its length.
It is just moving the segment.
January 19 national popcorn day. A bag of popcorn has the average of 450 kennels if 4%% of the kernels dont pop how manu pieces of popcorn will the bag make
Answers
Answer:
The bag will make 432 pieces of popcorn.
Step-by-step explanation:
From the information given, you know that the bag has an average of 450 kernels and that 4% don't pop. So, with this information you can find the pieces of popcorn that the bag will made by calculating 4% of the average number of kernels in a bag and subtracting the result from that amount:
450*4%=18
450-18=432
According to this, the answer is that the bag will make 432 pieces of popcorn.
please help i will give brainlest
Answers
Answer:
Y - (5) = -2 (x - 0)
Step-by-step explanation:
Find a perfect point, in this case I used the y-intercept (0,5), and find the slope. Then plug into the equation y - y1 = m (x - x1) and simplify. This will give you the slope point form of the line.
Answer:
Step-by-step explanation:
Rise over run.
m= (y2-y1)/ (x2-x1)
plug in (2,1) and (1,3)
so the slope is -2
point slope form y=mx+b
m is the slope
y = − 2 x+
what is x and y. use a decimal
Answers
Answer:
X= 3/5 Y= -3
Step-by-step explanation:
Answer:
Step-by-step explanation:
m<L =60 angle addition post
MLP is equialateral def of equialateral
5x-3=4 def of equialateral
2y+6=4 def of equialateral
x=1.4 solve
y=-1 solve
Find the coefficient of x² in the expansion of (x - 2/x)⁶
Answers
Answer:
I think answer for ur question is 60
what does 7/18 estimate to 0,1/2,1
Answers
Answer: 11/2
Step-by-step explanation:
PLS HELP ME 30 POINTS
Which angles are coterminal with 7π8?
Select EACH correct answer.
−9π/8
−25π/8
23π/8
9π/8
Answers
Answer:
I think its. -9tt/8
-25tt/8
23tt/8
The coterminal angle of angle [tex]\frac{7\pi}{8}[/tex] is [tex]\frac{23\pi}{8}[/tex].
The coterminal angles are the angles that have the same initial side and the same terminal sides.
To determine the coterminal angle of a given angle just adding or subtracting 360° or 2π to it.
The coterminal angle of angle [tex]\frac{7\pi}{8}[/tex] is,
[tex]2\pi+\frac{7\pi}{8}=\frac{16\pi+7\pi}{8} =\frac{23\pi}{8}[/tex]
Hence, The coterminal angle of angle [tex]\frac{7\pi}{8}[/tex] is [tex]\frac{23\pi}{8}[/tex].
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