Answers
Answer:
Area = 113.01 m²
Step-by-step explanation:
From the picture attached,
Area of the quadrilateral ABCD = Area of triangle ABC+ Area of triangle ACD
Construction to be done → Draw a perpendicular from a point A to the opposite side CD
Area of Δ ABC = [tex]\frac{1}{2}(AB)(BC)[/tex]
= [tex]\frac{1}{2}(12)(10)[/tex]
= 60 m²
Area of triangle ACD = [tex]\frac{1}{2}(AE)(CD)[/tex]
From ΔAEC,
sin(29°) = [tex]\frac{AE}{AC}[/tex]
AC = [tex]\sqrt{(12)^2+(10)^2}[/tex] [By Pythagoras theorem]
AC = [tex]\sqrt{244}[/tex]
AC = 15.62 m
Therefore, AE = 15.62sin(29)
= 7.57 m
Area of ΔACD = [tex]\frac{1}{2}(7.57)(14)[/tex]
= 53.01 m²
Area of ABCD = 60 + 53.01
= 113.01 m²
Related Questions
Lorenzo ate 25 of his bag of almonds. His 4 friends ate equal shares of the remaining bag of almonds. Which expression represents the almonds that each friend ate?
Answers
Answer:
(x - 25) / 4
Step-by-step explanation:
In this scenario, we have one unknown variable which is the total of the bag of almonds, therefore we can represent this with the variable x. Since Lorenzo ate 25 of this bag we would need to subtract this from the total of the bag. Then we need to divide the remainder by 4 since each of his friends ate the rest in equal parts. This would leave us with the following expression ...
(x - 25) / 4
There are 18 girls in Mr. Brimley's math class. If 40% of the students are girls, what is the best estimation for the number of boys in the class?
Answers
Answer:
30
Step-by-step explanation:
This is an easy one.
So, we know that 40% of the class is girls. We would need to use the other 60% as 60% of the class is boys and we would need to divide.
18/0.6=30
Therefore your answer is 30.
Hope this helps.
Answer:
20
Step-by-step explanation:
It is 40 percent ( given)
18/2=9
9×5=40 (100%)
Girls- 18( given)
Boys- 40-18=22
Rounded off-20
2x + 3 + x2, forx: 4
Answers
find the slope of the line
Answers
Answer:
y=3/4x+3
Step-by-step explanation:
The cost of 7 scarves is $78.75. What is the unit price?
Answers
PLS I NEED HELP I ONLY HAVE 15 MINS I BEG YOU PLEASE!! :(
In the year 1984 the average American used to eat 55.7 pounds of chicken. This was 2.8 pounds more than the the year 1982 average. By what percent did chicken consumption increase from the year 1982 to the year 1984?
Answers
To solve this, we need to use the z statistic. The formula for z score is:
z = (x – u) / s
where x is sample value = less than 90, u is the sample mean = 90.6, s is the standard deviation = 17.2
z = (90 – 90.6) / 17.2
z = -0.035
From the standard distribution tables:
P (z = -0.035) = 0.4860
Therefore there is about 48.60 % chance that it will be less than 90 pounds
Answer:
I think it increased by 0.05.
Step-by-step explanation:
If you subtract 2.8 from 55.7 you'll get 52.9. So I would divide 55.9 by 52.9 and get 1.05. I then would subtract 1.0
Find m
Geometry help pls
Answers
Answer:
∠WXY=72°
Step-by-step explanation:
2X-2=70+X
2X-X=70+2
X=72° ⇒ ∠WXY=72°
1. The distance that Giselle can run is a function of the amount of the time she speeds running. Giselle runs 3 miles in 21 minutes. Assume she runs at a constant rate.
a. Write an equation in two variables that represents her distance run, y, as a function of the time, x, she spends running
b. Use the equation you wrote in part (a) to determine how many miles Giselle can run in 14 minutes.
c. Use the equation you wrote in part (a) to determine how many miles Giselle can run in 28 minutes.
d. Use the equation you wrote in part (a) to determine how many miles Giselle can run in 7 minutes
Answers
Answer:
How does she run so fast anyways
Step-by-step explanation:
A. well y=3 mi and x=21min so then we multiply and figure out that it is aproximatly 12mi/hr.
B. I beleive is aproximatly 1.5 mi
C. I think is aproximatly 3.2
Now I know that that is just close but not quite exact but it might get you closer.
a quadrilateral has vertice at (1,1) (4,2)(0,4) and (5,5) what is the perimeter of the quaddrilateral
Answers
Step-by-step explanation:
so your gonna add the number so yo the answer would be (10,12)
Find the value of the greater root of x2-6x+5=0
Answers
Answer: x-1)(x-5)=0 x=1 and 5
Step-by-step explanation:
11g − 5g + –17g − –7g = –12
Answers
Answer:
g=3
Step-by-step explanation:
11g-5g+-17g-(-7g)=-12
Add the like terms (nice that in this case they are all on the same side)
6g+-17g-(-7g)=-12
-11g-(-7g)=-12
-4g=-12 Now we divide (phew that was a lot of negatives XD)
g=3
which property justifies step 3 Given: 4(x - 6) + 12 = 20
Answers
Answer:
x=8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4(x−6)+12=20
(4)(x)+(4)(−6)+12=20(Distribute)
4x+−24+12=20
(4x)+(−24+12)=20(Combine Like Terms)
4x+−12=20
4x−12=20
Step 2: Add 12 to both sides.
4x−12+12=20+12
4x=32
Step 3: Divide both sides by 4.
4x
4
=
32
4
*
(9) Complete the calculation so that each shows the correct sum.
0.5 1 3 7
+
1
Your answer
Answers
Answer:1.5137
Step-by-step explanation:
WILL MARK BRAINLIEST!
Please help! What's the simplified expression? Explain why!
Answers
Answer:
625^3
Step-by-step explanation:
5*5*5*5=25*5*5=25*25=625
625^3 is the final answer
In the figure, is an exterior angle to triangle .
(a) What is the angle measurement of Angle 3. Explain the angle relationship you used.
(b) What is the angle measurement of Angle 4. Explain the angle relationship you used.
(c) What is angle relationship between angles 3 & 4? What is the angle relationship between angles 1, 2, & 3? What do you notice that is similar between the two? What is different?
(d) The combination of which two angles in the triangle equal angle 4? Use your work from Part C to figure out why this is the case, and explain your conclusion.
Answers
Answer:
I don't have c but I do have a and b
Step-by-step explanation:
Part A)
Angle 3 is 103° because 77° + ∠3= 180° and ∠3 = 180° - 77° = 103°
Part B)
Angle 4 is 77° because ∠3 + ∠4 = 180° and ∠4 = 180° - 103° = 77°
These are the answers for k12
In this parallelogram, triangle K has an area of 29 square centimeters. What is the area, in square centimeters, of the parallelogram?
29
58
43.5
14.5
Answers
Answer:
58. cm^2.
Step-by-step explanation:
Area of parallelogram = 2 * area of triangle
= 2 * 29
=58.
what do you need to add to 3 5/7 to make 6
Answers
Pls help I need help pls
Answers
Answer:
The answer is C. The question states that he will work at LEAST 20 hours per week, which opens the possibility of working more as well. Therefore, the answer is C.
Step-by-step explanation:
Find the sum: (3m - 3 + 4n)+ (2m - 2n + 6)
Answers
The answer is: 5m+2n+3
use substitution to solve the system of equations. Write the solution as an ordered pair.
x + 2y = 14
y = 3x - 14
Answers
Answer:
Step-by-step explanation:
x + 2(3x - 14) = 14
x + 6x - 28 = 14
7x - 28 = 14
7x = 42
x = 6
y = 3(6) - 14
y = 18 - 14
y = 4
(6,4)
What is mLH?
A
140
B
40
220
D
70
Answers
Answer:70
Step-by-step explanation:
Answer:
A 140
Step-by-step explanation:
Mark the center of the circle as O. It's given that
∠IOJ = 70°
∠JOK = 70°
from the drawing it looks like HOI, IOJ and JOK are supplementary angles, which means that they add up to 180°
∠HOI + ∠IOJ + ∠JOK = 180°
∠HOI = 180° - ∠IOJ - ∠JOK
∠HOI = 180° - 70° - 70°
∠HOI = 40°
∠HOI and ∠KOL are cross angles, therefore ∠HOI = ∠KOL = 40°
Since ∠HOL and ∠KOL are supplementary angles
∠HOL = 180° - ∠KOL
∠HOL = 180° - 40°
∠HOL = 140°
AAH HELP PLEASSSSSSSSSSSSSE (i'll try to mark brainiest for the first person that helps me)
Which of the following expressions represents the value, in dollars, of a certain number of nickels, n, and dimes, d?
0.15nd
0.15n + d
0.10n + 0.05d
0.05n + 0.10d
Answers
Answer:
Step-by-step explanation:
dimes=0.10
nickels=0.05
last choice
0.05n+0.10d
Lauren rides her bike 36 miles in 4 hours. How many feet is Lauren traveling each minute?
Answers
Answer:
786 feet per min
Step-by-step explanation:
60 (mins in an hour) x 4= 240 mins
there are 5240 feet in a mile
5240 (feet in a mile) x 36= 188640
188640 divided by 240= 768
i need urgent help
this is my maths work
Answers
Answer:
A. only inequality 1.
Step-by-step explanation:
The inequality 1 can be written as
- 5 = 1 - 3d
- 5 - 1 = - 3d
- 3d = - 6
d = 2
Now the inequality 2 can be written as
- 1 =( 1 - d) / 3
- 3 = 1 - d
d = 1 + 3
d = 4
So the answer is A only inequality 1.
Hope it will help :)
if loss is loss percent and cost price in CP what will be SP?
Answers
Answer:
SP = selling price
SP = [(100 + Gain%) / 100] * CP.
SP = [(100 – Loss %) / 100]*CP.
Answer:
Sp is selling price
Cp is cost price then Wil be profit or loss
What set of numbers could be the side lengths of a right triangle ?
Answers
Answer:
I think it's A 3,4,6 could be the length of the triangle
Two numbers have an HCF of 84 and an LCM of 4620. Both numbers are larger than the
HCF. Find the two numbers.
Answers
Answer:
420 & 924
Step-by-step explanation:
hope it helps!
...
Mai, Clare, and Noah are making signs to advertise the school dance. It takes Mai 6 minutes to complete a sign, it takes Clare 8 minutes to complete a sign, and it takes Noah 5 minutes to complete a sign. They keep working at the same rate for a half hour.
Answers
Answer:
Mai makes 5 signs
Clare makes 3.75 sings
Noah makes 6 sings
together they make 14.75 sings
Step-by-step explanation:
an Italian restaurant buys 15 pounds of onions every 2 weeks. how many bags of onions will the restaurant buy in 7 weeks?
Answers
Answer:
45
Step-by-step explanation:
This is a trick question. Since they only get three purchases in by 7 weeks, the answer will be 15 times 3 or 45.
(If I'm wrong and it's not a trick question, then it's 15 times 3.5 or 52.5)
Hope this helps!
Solve for the value of y.
(8y+1)º
(6y+5)
Answers
Answer:
y = 6
Step-by-step explanation:
8y+1 + 6y+3 = 90
14y+6=90
14y=84
y = 6
