PLEASE HELPWhat is the perimeter of DEFG, shown?
A. 26.12
B. 18.06
C. 36.12
D. 13.06
Answers
The answer is the option A: A. 26.12
The explanation is shown below:
1. As you need the perimeter, you can divide the figure into three triangles (as you can see in the figure attached) to calculate the length of the diagonal lines, which would be the hypotenuses of the triangles.
2. You must apply the Pythagorean Theorem to calculate the hypotenuse of each triangle:
- Red triangle (The legs are 3 and 4):
- Blue triangle (The legs are 1 and 2):
-Green triangle (The legs are 3 and 5):
3. The figure has is symmetric with respect to the y-axis. So, you can multiply the sum of the hypotenuses obtained by two to calculate the perimeter:
Related Questions
Which polynomial is factored completely? a) g^5 - g b) 4g^3 + 18g^2 + 20g c) 24g^2 - 6g^4 d) 2g^2 + 5g + 4
The John Jay Theater Dept has tickets at $6 for adults, $4 for teachers, and $2 for students. A total of 280 tickets were sold for one showing with a total revenue of $1010. If the number of adult tickets sold was twice the number of teacher tickets, how many of each type of ticket were sold for the showing?
Each of the 20 members of a club needs to purchase a t-shirt and a flag. T-shirts cost $10 each. Flags cost $2.50 each. Before tax, what is the cost for all the t-shirts and flags?
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B. (12,18)
C. (6,8)
D. (8,12)
Answers
polynomial:
-36a5-24b6
Answers
The factored form of the given polynomial (-36a⁵-24b⁶)is -3 × 12a⁵ + (-2 × 12b⁶).
What are polynomials?
- A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.
- x² - 4x + 7 is an illustration of a polynomial with a single indeterminate x.
- They are the cubic polynomial, the zero polynomial, the linear polynomial, and the quadratic polynomial.
- The degree of polynomials should be a full number.
- Polynomials are not expressions with negative exponents.
So, factor form of -36a⁵-24b⁶:
Now, factorize as follows:
- -36a⁵-24b⁶
- 3 × 12a⁵ + 2 × 12b⁶
- -3 × 12a⁵ + (-2 × 12b⁶) (Get common out)
Therefore, the factored form of the given polynomial is -3 × 12a⁵ + (-2 × 12b⁶).
Know more about polynomials here:
#SPJ13
Answers
Answer:
28/9
Step-by-step explanation:
14/1 * 2/9
Answer:
3.108
Step-by-step explanation:
1. 2 divided by 9 equals 0.222
2. The soldier will need x amount of liters in *14* days.
3. Multiple 0.222 by 14.
Answers
h(x)=ax²+bx+c
We have two points:
(1,58)
(2,112)
Now, we calculate this quadratic funtion.
we assume that h(0)=0
Therefore:
a(0)²+b(0)+c=0
c=0
(1,58)
a(1)²+b(1)=58
a+b=58 (1)
(2,112)
a(2)²+b(2)=112
4a+2b=112
2a+b=56 (1)
With the equations (1) and (2) we make a system of equations:
a+b=58
2a+b=56
we can solve this system of equations by reduction method.
-(a+b=58)
2a+b=56
---------------------
a=-2
-2(a+b=58)
2a+b=56
-------------------
-b=-60 ⇒ b=60
The function is:
h(x)=ax²+bx+c
h(x)=-2x²+60x
Now find the height, in feet, of the rock after 10 seconds in the air.
h(10)=-2(10)²+60(10)
h(10)=-200+600=400
Answer: 400 ft.
Answer: 400 ft.
For Plato
2. What is the break-even level.
3. Draw a graph depicting a profit function.
Answers
Manufacturing cost : fixed cost = 8,000 ; variable cost = 15 per mug
Selling Price: 35 per mug
Let x be the number of mugs.
Sales Revenue = 35x
Manufacturing Cost = 8,000 + 15x
Profit = Sales Revenue - Manufacturing Cost
P = 35x - 8,000 - 15x
P = 20x - 8,000
Break even level: Profit is 0
Sales Revenue = Manufacturing cost
35x = 8,000 + 15x
35x - 15x = 8000
20x = 8000
x = 8000/20
x = 400
Company must produce at least 400 mugs to break even or have 0 profit. Quantity greater than 400 will result to a profit while quantity lesser than 400 will result to a loss.
166 in3
B.
140 in3
C.
64 in3
D.
16 in3
Answers
It was a rectangular prism. It can also be identified as a right prism because its bases are aligned one directly above the other and its lateral faces are rectangular.
The image has the following measurements:
length = 7 inches
width = 5 inches
height = 4 inches
volume = length * width * height
v = 7 in * 5 in * 4 in
v = 140 in³ Choice B.
360
for me it was 360.