Answers
Answer:
solution given:
Area of triangle ABC=½b×h=½×18×21=189km²
Area of square DEFG=l²=9²=81km²
Area of rectangle DHIJ=l×b=4×13=52km²
Total area =189+81+52=322 square kilometers.
Answer:
[tex] \rm\displaystyle A _{ \text{total}} = 322 {km}^{2} [/tex]
Step-by-step explanation:
refer the attachment
we have a triangle,a rectangle and a square
in order to figure out the area of the total figure we need to figure out the area the attached figure first
Triangle:the triangle has a base of 18 km and a height of 13+6+2=21km
thus,
the area of the triangle is
[tex] \displaystyle \frac{1}{2} \times 18 km\times 21km[/tex]
reduce fraction:
[tex] \displaystyle 9 km\times 21km[/tex]
simplify multiplication:
[tex] \displaystyle 189 km ^{2} [/tex]
Rectangle:the rectangle has a length of 13km and a width of 4km
thus,
the area of the rectangle is
[tex] \displaystyle 13km \times 4km[/tex]
simplify multiplication:
[tex] \displaystyle {52km}^{2} [/tex]
Square:the length of every sides of the square is 9km
thus,
the area of the square is
[tex] \displaystyle {(9km)}^{2} [/tex]
simplify square:
[tex] \displaystyle {81km}^{2} [/tex]
Area-total:[tex] \rm\displaystyle A _{ \text{total}} = A_{ \text{triangle}} + A_{ \text{rectangle}} + A_{ \text{square}}[/tex]
substitute:
[tex] \rm\displaystyle A _{ \text{total}} = 189 {km}^{2} + 52 {km}^{2} + 81 {km}^{2} [/tex]
simplify addition:
[tex] \rm\displaystyle A _{ \text{total}} = 322 {km}^{2} [/tex]
Related Questions
In the figure, lines a and b are parallel.
Which statements are true?
Select each correct answer.
m∠2=m∠1
m∠1=75°
m∠3=m∠1
m∠2=105°
Answers
Answer:
m∠2 = m∠1m∠1 = 75°Step-by-step explanation:
Look at the picture.
Vertical angles, corresponding angles, alternate exterior angles are congruent.
Supplementary angles add up to 180°.
See your levels
A company has $2,145 to send its employees to a conference. The conference costs $39 for
each employee who attends. How many employees can the company send to the conference?
Answers
Answer:
55
Step-by-step explanation:
if it cost 2,145 for the whole thing and 39 for each person 2,145 divide by 39= 55
Four classmates collect data by conducting a poll. They
ask students chosen at random how many days a week
they ride the bus to school.
• Savannah interviews 18 students.
• Logan Interviews 56 students.
.
Hailey Interviews 24 students.
• James interviews 32 students.
Whose results are probably the most trustworthy?
O A. Logan's
B. Hailey's
O C. Savannah's
O D. James's
Answers
Answer:logan
Step-by-step explanation:
I did it on a test and got it right.
Nicole, Jared, Adam, and Mary are in a tennis tournament. They all have an equal chance of winning. Use an organized list to help you answer what is the probability that Nicole will come first or second?
Answers
Answer:
½
Step-by-step explanation:
since they're 4 of them and she has 1 chance of being 1st or 2nd...it would be 2 out of 4 and when simplified it is ½
if sarah went to the shop and there was a 10% sale. she was going to buy 7 CDs for $60
Answers
Answer:
10 % of 60$ => 10/100 × 60$ => 6$
6$ for 7 cds => 42 $
HELP I WILL MARK YOU BRAINLIEST PLEASE
Mai had $14.50. She spent $4.35 at the snack bar and $5.25 at the arcade. What is the exact amount of money Mai has left?
Kristina rides her bicycle 384.25 miles over 29 weeks to and from her job. How many miles does she ride each week to and from her job if she rides the same amount each week?
Answers
Question: Mai had $14.50. She spent $4.35 at the snack bar and $5.25 at the arcade. What is the exact amount of money Mai has left?
Answer: $4.90
Steps: Step 1: Find operation: The operation in this problem is subtraction because words such as "spent" means that she used money, meaning we subtract.
Step 2: Figure out order of numbers: Now that we know that the operation is subtraction, we need to know what numbers to subtract. The problem says that Mai had $14.50, which means that this is the total amount of money she had when she started. Spent means that Mai used money, so this means that we subtract like this: $14.50-$4.35-$5.25.
Step 3: Subtract: Now that we know what operation to use, and what order to use the numbers, we can finish the problem:
$14.90 - $ 4.35 ------------------- $10.15 - $ 5.25 -------------------- $4.90--------------------------------------------------------------------------------------------------------------
Question: Kristina rides her bicycle 384.25 miles over 29 weeks to and from her job. How many miles does she ride each week to and from her job if she rides the same amount each week?
Answer: 13.25
Steps: 1: Find operation: To solve this question, we need to find the operation. Words such as "same amount each week" mean that this is division.
Step 2: Figure out order of numbers: Now, we need to figure out what to divide by. We divide 384.25 by 29 because it say that she rides 384.25 miles over 29 weeks.
Step 3: Divide: Now, we will solve the equation: 384.25 divided by 29 is 13.25, so the answer is 13.25.
Hope this helps you!
P.s. Sorry I could not show how to divide 384.25 by 29.
thing i need to show a person
Answers
Answer:
What does that mean
Step-by-step explanation:
A. Function A is linear and Function B is exponential.
B. Function A is exponential and Function B is linear.
C. Both functions are linear.
D. Both functions are exponential.
Answers
Calculate the sum. -16 + (-12) C A. 28 B. 4 C. -4 D. -28
Answers
Answer:
-28
Step-by-step explanation:
-16 +(-12)
= -16 - 12
adding both of them,
= - 28
Alicia records the total number of points scored in two games by 10 players on her basketball team Which box plot represents the data
Answers
Complete question :
Alicia records the total number of points scored in two games by 10 players on her basketball team.
28, 13, 4, 8, 15, 10, 22, 7, 11, 15
Which box plot represents the data
Answer:
The most appropriate boxplot is the third option.
Step-by-step explanation:
Given the data:
28, 13, 4, 8, 15, 10, 22, 7, 11, 15
Ordering the data:
Ordered data : 4,7,8,10,11,13,15,15,22,28
Minimum value = 4
Maximum = 28
Using a boxplot maker :
Median = 12
First quartile: 8
Third quartile: 15
Answer:
im pretty sure its a
Step-by-step explanation:
ill give brainliest please help and no links
I am working with probability on the topic
Answers
Answer:
8/300= hsjjsksksksbsjsishshvsjsksossbsbakaoans sbsjsjsjsbs sbsksis
Mila and Nadia have R480 between them.
Mila has 7 times as much as Nadia.
How much does each of them have?
Answers
Answer:
Mila= 420 Nadia= 60
Step-by-step explanation:
Let's call Mila 7x. And x to Nadia. The two of them had a total of 480s.
Then we say 7x + x. Their total is 8x. So 480 = 8x. We divide both sides by 8. Here x = 60. Since Mila is 7x, we find Mila as 7.60 = 420, and since Nadia as x, we find Nadia as 1.60 = 60.
If there is any place you don't understand, you can ask.
#Achievements
Find the geometric mean of 16 and 36. Write your answer in simplest form. The geometric mean is
Answers
Answer:
Step-by-step explanation:
the geo. mean is the nth root of the product of n numbers
Here there are two numbers; geo. mean is the square root of their product
g = √(16 * 36)
g = 4 * 6
g = 24
Geometric mean is the mean which is the average of a set of a product.
The geometric mean of the given numbers is 24.
What is geometric mean?Geometric mean is the mean which is the average of a set of a product.
It can be given as,
[tex](\prod_{i=1}^{n}x_i)^{1/n}=\sqrt[n]{x_1\times x_2\times x_3...........x_n}[/tex]
Here [tex]x_i[/tex] is the values of the average and [tex]n[/tex] is the number of values.
Given information-
The numbers given in the problem is 16 and 36.
The Geometric mean for the number 16 and 36 has to find out.
Use the above formula to find the geometric mean for the number 16 and 36. Thus,
[tex]\prod=\sqrt{16\times36}[/tex]
[tex]\prod=\sqrt{576}\\\prod=24[/tex]
Hence the geometric mean of the given numbers is 24.
Learn more about the geometric mean here;
https://brainly.com/question/47038
Given m || n, find the value of x and y.
m(7x+13)
n(3y-17) (9x-19)
Answers
Answer:
[tex]9x - 19 = 7x + 13 \\ 2x = 32 \\ x = 16 \\ 3y - 17 + 9x - 19 = 180 \\ 9x + 3y = 180 + 17 + 19 \\ 9x + 3y = 216 \\ 3y = 216 - 144 = 72 \\ y = \frac{72}{3} = 24[/tex]
Anyone please help I just need help with this problem
Answers
Answer:
21.91 meters
Step-by-step explanation:
Since they already give you the hypotenuse, you will find the other missing side using this formula:
A= [tex]\sqrt{c^2 - b^2}[/tex]
So c² = 1,156
and b² = 676
1156 - 676 = 480
------
The square root of 480 is around 21.91
Let's double check, to double check, pretend that you don't know the hypotenuse, but you know the a and b sides.
So: 480.05 + 676 = 1,156.05
[tex]\sqrt{1156.05}[/tex] ≈ 34
-------
Have a good day :)
The formula for the circumference, C, of a circle with given radius, r, is C = 2nr.
What is the circumference of a circle with a radius of 3 1-2 meters?
(Use 21
22
as an estimate for n.)
A. 7 meters
B. 11 meters
C. 22 meters
D. 44 meters
Answers
Answer:
C. 22
Step-by-step explanation:
C = circumference
n (pi) = 22/7
r = 3 1 /2
Plug in the numbers for each variable.
C = 2x (22/7) x (3 1/2)
Change the mixed number inIto an improper fraction by multiplying 3 x 2 and adding the 1 which gives us 7 over 2 because 2 is our denominator so, 3 1/2 = 7/2. It also helps to have 1 as the denominator for 2.
C = (2/1) x (22/7) x (7/2)
Lastly, just multiply the numerators across which give us 308 then multiply the denominators across which gives us 14, so then we divide 308 by 14 and get 22.
solve the equations: 4x - 6 = 6 - 2x , 3(x - 4) = 5
Answers
Answer:
First of all are we solving for x
Step-by-step explanation:
4 × 3 = 12 =
6 - 2 ×
Which tank is draining at a faster rate? What is the difference in the rates the tanks are draining?
Answers
Difference is 3
What is the total area in cm^2? 50 40 30 20
Answers
Answer:
50 cm²
Step-by-step explanation:
5 · 6 = 30 cm²
14 - 6 = 8
8 · 5 = 40 cm²
40 cm² ÷ 2 = 20 cm²
30 cm² + 20 cm²
50 cm²
What is the answer to n+ 9 =9
Answers
A study found that soda sales increase in stores located in neighborhoods that have banned soda sales in schools which best
describes how such a study would be designed as an observational study?
Answers
Answer:
Step-by-step explanation:
No attempt is made to influence anything - just ask questions and record the responses. By definition, An observational study measures the characteristics of a population by studying individuals in a sample, but does not attempt to manipulate or influence the variables of interest.
What iS the area of the rectangle?
Answers
Answer:
A = 6
Step-by-step explanation:
just multiply the width by the length
Round 958.989730730 to the nearest hundredth
Answers
Answer:
958.99
Step-by-step explanation:
Since the nine is bigger than four, you'd make the eight a nine.
For further help I suggest this website:
https://www.varsitytutors.com/hotmath/hotmath_help/topics/rounding-decimals
During a sale, an automobile dealer sold 69 cars and trucks. If she sold 27 more cars than trucks, how many did she sell?
Answers
She would have sold 96 cars in total.
Simplify 8^3 divided by 4^2. A.) 2 B.) 3 C.) 33
Answers
Answer:
32
Step-by-step explanation:
[tex]\frac{8^{3}}{4^{2}} = \frac{512}{16} = 32[/tex]
Answer:
32.
Step-by-step explanation:
[tex]8^3/4^2[/tex]
First, simplify the exponents by converting the exponents into numbers.
[tex]8^3=512[/tex]
[tex]4^2=16[/tex]
Lastly, divide as normal.
[tex]512/16=32[/tex]
Therefore, 8³ ÷ 4² = 32.
Find the missing side.
6 is A^2
10 is B^2
what is the missing side
Answers
Answer:
8
Step-by-step explanation:
This is a right triangle, which fits the Pythagorean Theorem, a^2 +b^2 = c^2. The variables a, b, and c all are sides of the triangle, while a and b are the two legs and c is the hypothenuse.
In this problem, we see that 6 and x are the legs and 10 is the hypothenuse. We put 6 as "a" and x as "b" (but it doesn't matter which is a and b) and 10 is c. Therefore, we have the equation:
6^2 + x^2 = 10^2
which further simplifies to:
36 + x^2 = 100
x^2 = 64
and so x would equal 8 (or -8, but it is impossible to have a side length of -8).
Therefore, the missing side is 8.
Answer:
The missing side is x=8
Step-by-step explanation:
The missing side equation is a²+b²=c²
So we plug in 6²+b²=10²
This gives us 8²
The surface area of a three-dimensional object is? This is a brainpop question, there is no picture, and tis a straight forward question
Answers
Answer:
What it is is basically when you take the area of every side of a three dimensional shape and then add it all together.
don't know if this is what you were looking for but I hope this helps.
What is the equivalent 6x + 15
Answers
Step-by-step explanation:
6x + 15
3 (2x + 5)
0r
(3 × 2x) + (3 × 5)
Solve the following:
There are 500 students in school . 40% of them are boys and rest are girls. What is the percentage of girls? Also find the numbers of boys and girls in the school.
Answers
Answer:
300 girls, 200 boys
Step-by-step explanation:
To find boys: 500 x 0.4 = 200
To find girls: 500 x 0.6 = 300
60% girls
Find U of trapezoid TUVS
Answers
Answer:
[tex]m<U = 103[/tex]
Step-by-step explanation:
The given trapezoid is an isosceles trapezoid, meaning that the two legs of the trapezoid (sides that intersect the parallel lines) are congruent. One of the proprieties of an isosceles trapezoid is that the opposite angles are supplementary, meaning that the sum of the opposite angles is 180. One can apply this theorem here by stating the following,
[tex]m<S + m<U = 180[/tex]
Substitute,
[tex]77+m<U = 180[/tex]
Inverse operations,
[tex]77+m<U = 180[/tex]
[tex]-77[/tex]
[tex]m<U = 103[/tex]
Answer:
[tex] m\angle U = 103\degree[/tex]
Step-by-step explanation:
[tex] m\angle T + m\angle S = 180\degree [/tex] (interior angles on the same side of transversal)
[tex] m\angle T + 77\degree = 180\degree [/tex]
[tex] m\angle T = 180\degree- 77\degree[/tex]
[tex] m\angle T = 103\degree[/tex]
[tex] m\angle U =m\angle T [/tex]
(base angles of an isosceles trapezoid)
[tex] m\angle U = 103\degree[/tex]