Answers
Given:
The diagram of a figure with sides 14 ft, 30 ft, 21 ft and 18 ft.
To find:
The area of the figure.
Solution:
From the given figure it is clear that if we cut a corner of a rectangle, then we get the same figure.
The sides of a the rectangle are 30 ft and 21 ft.
The height of the triangular part is (30 ft - 18 ft) and the base is (21 ft - 14 ft).
So, the height of the triangular part is 12 ft and the base is 7 ft.
The area of the rectangle is:
[tex]A_1=length\times width[/tex]
[tex]A_1=30\times 21[/tex]
[tex]A_1=630[/tex]
The area of the triangular part is:
[tex]A_2=\dfrac{1}{2}\times base \times height[/tex]
[tex]A_2=\dfrac{1}{2}\times 12 \times 7[/tex]
[tex]A_2=6 \times 7[/tex]
[tex]A_2=42[/tex]
Now, the area of the given figure is:
[tex]A=A_1-A_2[/tex]
[tex]A=630-42[/tex]
[tex]A=588[/tex]
Therefore, the area of the given figure is 588 sq. ft.
Related Questions
Helpppp ASAP 15 points
Answers
Answer:
EFG
Step-by-step explanation:
Selecr the correct answer.
What is the value of x in the triangle?
Answers
Answer:
[tex]Isosceles \ triangle \ two \ sides\ are \ equal \\\\(3\sqrt{2})^{2} = x^2 + x^2\\9 \times 2 = 2x^2\\x^2 = 9\\x = 3[/tex]
The value of x, length of base is B) 3.
The answer must be the length of the base of the triangle. Since the two other angles are equal, the triangle is an isosceles right triangle. This means that the two shorter sides of the triangle are congruent.
We can use the Pythagorean theorem to find the length of the base of the triangle. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is 3√2, so the square of the hypotenuse is 18. The other two sides of the triangle are congruent, so let the length of each side be x. The square of each side is x². Therefore, we can write the following equation:
18 = x² + x²
Solve for x:
2x² = 18
x² = 9
x = 3
Therefore, the length of the base of the triangle is 3. So the answer is B.
To learn more about length here:
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The cost of 3 loaves of bread and 3 gallons of milk is $19.35. The cost of 4
loaves of bread and 2 gallons of milk is $17.90. How much does one loaf
of bread cost?
Answers
Answer:
bread $2.5 milk $3.95
Step-by-step explanation:
b=bread m= milk
3b +3m = 19.35
4b+2m= 17.90
Multiply the first by (-2)
Multiply the second by 3
Then add both
-6b -6m = -38.7
12b+6m=53.7
(when you add both 6m is cancelled)
6b = 15
b= 2.5 (BREAD $2.5)
4(2.5) = 10
10+ 2m = 17.90
2m = 7.90
m= 3.95 (MILK $3.95)
2. Find the distance of a line segment with endpoints A (3, 2) and B (6,8).
about 2.2 units
about 6.1 units
about 14 units
about 6.7 units
Answers
Check whether 2-3x is a factor of x²-x +1
Answers
What is the difference in the medians of the two exams? a 5 points b 15 points c No difference d 10 points
Answers
Answer:
What are the medians of the two exams? Can you post a picture?
I'm stuck, can any one help me please?
Answers
Answer:
4 times 2+3-1=10
Step-by-step explanation:
ABCD Is a parallelogram if m
Answers
Step-by-step explanation:
ABC+DAB=180
DAB=180-115
DAB= 65
m<3+m<4=65
m<3=65-m<4
You have been given 4 degrees there, but it has not fallen. The answer is either A or B. Subtracting the conditional degree from 65. Find 3.
Answer:
...
Step-by-step explanation:
m<4=30
180-115=65
65-30= 35 , so m<3= 35
180- 150 = 30
so m<1= 30
Use the first five terms of the exponential series of e^x ands calculator to approximate e^0.6 to the nearest hundredth
Answers
e^0.6 to the nearest hundredth using the first five terms of the exponential series of eˣ is; e^(0.6) = 1 + 0.6 + 0.6²/2! + 0.6³/3! + 0.6⁴/4....
How to solve Maclaurin Series?We want to use the first 5 terms of the exponential series of eˣ to approximate e^(0.6)
The type of exponential series we will utilize is called the Maclaurin Series for. Thus, for eˣ, we have;
eˣ = 1 + x + x²/2! + x³/3! + x⁴/4.....
Thus;
e^(0.6) = 1 + 0.6 + 0.6²/2! + 0.6³/3! + 0.6⁴/4....
e^(0.6) = 1 + 0.6 + 0.18 + 0.072 + 0.0324
e^(0.6) = 1.88 to the nearest hundredth
Read more about Maclaurin Series at; https://brainly.com/question/14570303
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you can get brainliest but i need it asap
Answers
Answer:
q = 41
Step-by-step explanation:
180 - 139 = 41
Answer:
41
Step-by-step explanation:
180 - 139 equals 41 degrees
Which number is farthest from 0
Answers
Answer:
17
Step-by-step explanation:
it 17 trust me
Answer:
17
Step-by-step explanation:
Write the numbers least to greatest.
-15, 0, 9, 10, 17
Then, highlight the one on the very right.
-15, 0, 9, 10, 17
Have a wonderful day! :)
If each unit on the graph measures 1 inch, how far is the
inchworm from the ladybug? (Hint: The Pythagorean
theorem can be used because the x-axis, y-axis, and z-
axis each intersect at a right angle.)
O 5 in.
O 7 in.
0 12 in.
25 in.
Answers
Answer:
A. 5
Step-by-step explanation:
just did the quiz on .
which graph shows J(-4,5)
Answers
Answer:
Option 4 shows the point (-4, 5)
Step-by-step explanation:
In the coordinates (-4, 5), x value is -4 so we got left 4 units from 0, and then y-value is 5, so we go up 5 units form -4 from earlier
Hope this helps!
Answer:
option 4 or D
Step-by-step explanation:
It is not option 1 because when going across and down you end up at 5,-4 instead of -4,5. Option 2 is incorrect because the graph is showing -5, 4. Option three is wrong because it shows 4,-5. Finally option four is correct. This is because when graphing you start with the x-intercept going to left to right or across when plotting on the x-axis, when doing that the points is at -4. When doing the same with the y-intercept you get 5.
Question 4 of 10
If topic B is very sensitive, while topic C is not sensitive at all, which of the
following statements is most likely true when surveying people on the two
topics?
A. Topic C requires an anonymous answer form, while topic B does
not.
B. Both topic B and topic C require an anonymous answer form.
C. Topic B requires an anonymous answer form, while topic C does
not.
D. Neither topic B nor topic C requires an anonymous answer form.
Answers
*SECOND TIME POSTING THIS*! PLEASE HELP WILL GIVE BRAINLIST
Answers
Answer:
try 7
Step-by-step explanation:
Casey polled 50 seventh grade students. He asked who they planned to vote for as class president. Thirty students said they would vote for Lynne. Twenty said they would vote for Marcus.
Use this probability to predict how many seventh graders in their class of 450 students will vote for Lynne
Answers
Answer:
270 students
Step-by-step explanation:
First, you need to do a ratio.
30 x
------- = --------
50 450
In order to solve this, you need to multiply 450 times 30 and that equals 13500. 13500 divided by 50 is 270. That means that about 270 students will vote for Lynn.
Help me with this pls
Answers
Answer:
= 5^-8 . 5^-10
= 5^(-8 ) + (-10)
=5^-18
Answer:
5^-18
Step-by-step explanation:
[tex](5^{-8})(5^{-10}) = 5^{-8-10} = 5^{-18}[/tex]
slope-intercept form
Answers
Answer:
y = 1/2x + 4
Step-by-step explanation:
y = 1/2x + 4
When finding the 9th term in a geometric sequence with a common ratio of 2 and a first
term of 3;
which is the value of (n-1)?
Answers
Answer:
8
Step-by-step explanation:
Nth term of a geometric sequence is given as:
[tex] t_n = a r^{(n-1)}[/tex] ...(1)
Plugging n = 9, a = 3 and r = 2 in the above equation, we find:
[tex] t_9 = (3) (2)^{9-1}[/tex]
[tex] t_9 = (3) (2)^{8}[/tex]... (2)
Comparing equations (1) & (2), we obtan:
(n - 1) = 8
math need answer
asap please
Answers
Answer:
h=6
k=2.5
m=4.58
n=3[tex]\sqrt{10[/tex]
p=4.12
Step-by-step explanation:
Does the equation y = 2(x - 1) represent a linear function?
Answers
Answer:
yes
Step-by-step explanation:
after you distribute you get:
y = 2x - 2
this is a linear function that crosses the y-axis at -2 and has a slope of 2
1. Write the ratio as a rate,
The ratio of miles to the numbers of hours is 300 to 6
a) 50 miles/hour
b) 300 miles/hour
c) 60 miles/hour
d) 25 miles/hour
Answers
Answer:
300 miles / 6 hours = 50 miles/hour
Choice a) is correct
Step-by-step explanation:
Lisa bought 16 bags of tomato seeds. Each bag contains 54 seeds. She plants half of the seeds. How many seeds does she have left.
Answers
Answer:
432
Step-by-step explanation
16 x 54 is 864, half of 864 is 432, therefore Lisa has 432 seeds left. You could also do 8 x 54.
Знайдіть будь які 4 розвязки рівняння 3х+2у=16
Answers
Answer:
[tex]\huge\colorbox{violet}{✏﹏ \: ᴀɴsᴡᴇʀ \: }[/tex]
[tex]{\boxed{\boxed{\tt { 1st / solution :-}}}} \ [/tex]
[tex]3x + 2y = 16 \\ 3(2) + 2(5) = 16 \\ 6 + 10 = 16 \\ 16 = 16 \\ \\ x = 2 \: and \: y = 5[/tex]
[tex]{\boxed{\boxed{\tt { 2nd / solution :-}}}} \ [/tex]
[tex]3x + 2y = 16 \\ 3(4) + 2(2) = 16 \\ 12 + 4 = 16 \\ 16 = 16 \\ \\ x = 4 \: and \: y = 2[/tex]
[tex]{\boxed{\boxed{\tt { 3rd / solution :-}}}} \ [/tex]
[tex]3x + 2y = 16 \\ 3(0) + 2(8) = 16 \\ 0 + 16 = 16 \\ 16 = 16 \\ \\ x = 0 \: and \: y = 8[/tex]
Answer:
X=0
Y=8
I hope
it helps
have a ncied ay
The three angles of a triangle create the extended ratio 2:2:5. What is the measure of the largest angle?
Answers
Answer:
100°
Step-by-step explanation:
The ratio of angles of the triangle is 2:2:5. We know that the angle sum property of the triangle is 180°. So that , let the ratio be 2x : 2x : 5x .
=> 2x + 2x + 5x = 180°
=> 9x = 180°
=> x = 180°/9
=> x = 20°
Here the largest ratio is 5x . Therefore the largest Angle is ,
=> Largest Angle = 5x
=> Largest Angle = 5 × 20°
=> Largest Angle = 100°
• Hence the largest Angle is 100°A pole that is 3.2m tall casts a shadow that is 1.66m long. at the same time a nearby tower cast a shadow that is 39.5 m long. how tall is the tower?
Answers
Answer:
76.14 m
Step-by-step explanation:
create a proportion of height/shadow equals height/shadow
3.2/1.66 = h/39.5
cross-multiply:
1.66h = 39.5(3.2)
1.66h = 126.4
h = 76.14
Select all expressions that equivalent
Answers
........................
would appreciate help!!
Answers
Answer:
Step-by-step explanation:
Answer:
√122 in.
Step-by-step explanation:
d^2 = 9^2 + 5^2 + 4^2
d^2 = 81 + 25 + 16
d^2 = 122
d = √122
Is the histogram uniform symmetric or skewed
Answers
Answer:
skewed
Step-by-step explanation:
what two numbers can you add to -6 but also Multiply to -16
Answers
Answer:
-8 and 2
Step-by-step explanation:
-8x2=-16
-8+2=-6
