9514 1404 393
Answer:
9 square units
Step-by-step explanation:
Pick's theorem is a useful relationship in circumstances like these. It tells you the area is ...
A = i + b/2 - 1
where i is the number of interior points (8), and b is the number of points on the border (4).
The area of this figure is ...
A = 8 + 4/2 -1 = 9
The area of the polygon is 9 square units.
_____
You can also get there by realizing the bounding rectangle is 4 units square. From that, corner triangles are cut. CW from upper left, those triangles have (base, height) dimensions of (3, 2), (1, 3), (3, 1), and (1, 2). So, the total of their areas is (1/2)(6 +3 + 3 +2) = 7 square units. The shaded area is then 16-7 = 9 square units, same as above.
Sandra took 4 tests in math and her mean score was 18. I she scored 18, 22, and
17 in three tests, find Sandra's score in the fourth test.
Answer:
15
Step-by-step explanation:
(18+22+17+x)/4=18
18+22+17+x=18×4
57+x=72
x=72-57
x=15
3. Which situation is best described by the graph shown?
HELLPPP PLEAAAASEEE
A. Allison purchases lemons for $0.75 each.
B. Sophia buys 12-packs of soda for $1.75 each.
C. Jacob buys packs of gum for $1.50 each.
D. Garrett buys limes for $0.80 each.
What percent is 72 out of 120?
The solution shown for the equation is incorrect. What is the correct solution? What is the error?
−9(3−r) = 45
−27−9r = 45
−9r = 72
r = −8
The solution is ____
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 4 and 3−i.
Answer:
[tex]P(x) = x^3 - 10x^2+ 34x-40[/tex]
Step-by-step explanation:
Given
[tex]p =1[/tex] -- Leading coefficient
[tex]Zeros: 4\ and\ 3 - i[/tex]
Required
Determine the polynomial
Represent the zeros with a and b
Such that
[tex]a = 4[/tex]
[tex]b = 3 - i[/tex]
The polynomial is:
[tex]P(x) = p * (x - a) * (x - b)[/tex]
[tex]P(x) = 1 * (x - 4) * (x - (3 - i))[/tex]
However, to solve further: We need to symmetrise over 3-i and its conjugate
[tex]P(x) = 1 * (x - 4) * (x - (3 - i))* (x - (3 + i))[/tex]
[tex]P(x) = (x - 4) * (x - (3 - i))* (x - (3 + i))\\\\[/tex]
To define a suitable function, the expression becomes
[tex]P(x) = (x - 4) * ((x - 3)^2+1)[/tex]
[tex]P(x) = (x - 4) * ((x - 3)(x - 3)+1)[/tex]
[tex]P(x) = (x - 4) * (x^2 - 6x + 9+1)[/tex]
[tex]P(x) = (x - 4) * (x^2 - 6x +10)[/tex]
Open bracket
[tex]P(x) = x^3 - 6x^2 +10x - 4x^2 + 24x-40[/tex]
[tex]P(x) = x^3 - 6x^2 - 4x^2+10x + 24x-40[/tex]
[tex]P(x) = x^3 - 10x^2+ 34x-40[/tex]
Which is a diagonal through the interior of the cube?
One leg of a right triangle is 3 cm and the hypotenuse is 5 cm. Joni found the length of the other leg by evaluating √32 + 52. What error did she make? How would you help her correct her error so she is less likely to make the same error in the future?
Answer: See explanation
Step-by-step explanation:
We should note that the hypothenuse is the longest side in a triangle. Therefore, the length of the other side will be represented by x. This is then solved below:
x² + 3² = 5²
x² + 9 = 25
x² = 25 - 9
x² = 16
x = ✓16
x = 4cm
The other leg is 4cm
Joni shouldn't have added the hypothenuse to the other leg but rather subtracted the square of the other leg from the square of the hypothenuse and then find the square root.
Solve the equation. You may find using algebra tiles to be helpful.
2x + 7 = 13
x =
Answer:
x= 3
Step-by-step explanation:
Move all the terms that do not contain x to the right side and solve.
Hope this helped!
⭐ Please consider giving Brainliest if this answer helped you ⭐
Question #8 help me plz
Answer:
UH HOLD ON RIGHT QUICK CAN YOU TELL ME THE QUESTION
Step-by-step explanation:
A heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Directly below the birds is a trout, swimming 23 feet below sea level.
True or False
A. The difference in height between the pelican and the heron is -33 feet.
Answer:
False
Step-by-step explanation:
This is because there both above sea level and 50-17=33 not -33
Find the value of x. Round to the nearest 10th. Plzzz help!!!
Answer:
x = 7.15
Step-by-step explanation:
Taking 33 as the reference angle,
hypotenuse = x
base = 6
Cos 33 = base/hypotenuse
Cos 33 = 6 / x
x = 6/ cos 33
x = 7.15
Gretchen is setting up for a banquet. She had 300 chairs and needs to distribute them evenly among t tables. (in algebra)
Answer:
The expression is 300/t, , or 300 divided by t
Step-by-step explanation:
Graph y ≤ (x + 2)^2.
Click on the graph until the correct graph appears.
Answer:
the first one is the correct one
Step-by-step explanation:
a great way to check this is to use demos .com
Answer:
its the first one
Step-by-step explanation:
our vertex is (-2,0)
so replace it in the equation y ≤ (x + 2)^2
so, 0 ≤ (-2 + 2)^2
= 0 ≤ (-4)^2
= 0 ≤ 16
look at that statement, is 0 less than or equal to 16? Yes. Therefore it is correct, so you shade out side of the parabola.
TIP: If the parabola opens up and:
y <, then shade outside.
y >, then shade inside.
Do the opposite if the parabola opens down.
Done<
In the diagram below, AB BC, and mZBCD = 115°. Find mZB.
Statement
B.
whats the equation for the table
Answer:
y= 32x
Step-by-step explanation:
Use slope formula
192-128/6-4= 64/2
M=32x
Find y-intercept (if any)
128=32(4)+b
128=128+b
B=0
2. You went out to eat with 3 friends and your meal cost $82.50. How much was the bill if
6.75% sales tax was included?
How much would you tip the waiter, if you wanted to leave a 20% tip?
Answer:
17.61
Step-by-step explanation:
82.50 x 0.0675 = 5.57
82.50 + 5.57 = 88.07
88.07 x 0.20 = 17 61
hope this helps
Natalia buys a stamp priced at $51.00. The sales tax rate is 4.2%.
What is the tax amount to the nearest cent?
please answer this :,)
Answer:
$53.14
Step-by-step explanation:
$51.00+4.2%
53.14200
round:53.14
I need help asap this is Trigonometry
Answer:
∠BAC = 54.11°
Step-by-step explanation:
cos ∠BAC = 17/29 = 0.5862
∠BAC = 54.11°
please help out!!!!!
Answer:
SSS
Step-by-step explanation:
It will be SAS or AAS or ASA if there is the little angle sign that looks like a semi-circle in the corner. But the Lines in the side of the tringles indicate side not angle
Evaluate the expression when m=12
Answer:
Where's the expression?
Step-by-step explanation:
What is the value of x
b is your correct answer hope help you
Use the simple interest formula to find the interest earned and the ending balance. I = Prt (please show work)
1. $9,000 at 4% for 2 years
Answer:
720
Step-by-step explanation:
I = Prt
I = (9000)(0.04)(2)
I = 720
Lorenzo's family is driving to the beach to go kayaking with sea otters. The beach is 85 miles from Lorenzo's house. They have already driven 63 miles. Help and plz put the equation
Answer: See explanation
Step-by-step explanation:
Your question isn't complete but I'm guessing that you want to find the equation to know the miles left for Lorenzo family to reach the beach.
The equation will be gotten by subtracting the distance that the family has driven already from the total distance from their house to the beach. This will be:
= 85 miles - 63 miles
= 22 miles
How do you simplify
1 π (64)^2 (6)
Answer:
if you multiply pi by 64^2 times 6 then it comes out to 77207.78
Step-by-step explanation:
64^2 = 4096
4096 (6) = 24576
24576 (π) ≈ 77207.78
If one set of opposite sides of a quadrilateral are parallel but not equal, then what would be the name of the quadrilateral??
Answer:
a trapezoid i think
Step-by-step explanation:
i hope this helps
Super sorry if if im wrong
PLEASE HELP
What do the ratios 15:5 and 15:22 represent?
15:5 compares losses to wins and 15:22 compares games to wins.
15:5 compares wins to losses and 15:22 compares wins to games.
15:5 compares wins to losses and 15:22 compares wins to ties.
15:5 compares wins to ties and 15:22 compares wins to games.
15 : 5 = 15 : 5
15 : 5 = 1 : 0.33333333333333
= 3 : 1
= 3 : 1
15
15 + 5
= 75%
Answer:
B
Step-by-step explanation:
15:5 compares wins to losses and 15:22 compares wins to games.
What is the volume of the prism?
*Do NOT round your answer.
Answer:
300 in³
Step-by-step explanation:
Hello There!
The prism shown is a rectangular prism
The formula for volume of a rectangular prism is
[tex]Volume=lwh[/tex]
where l = length w = width h = height
so we are given all of the dimensions so to find the volume all we have to do is plug in the values into the formula
so
[tex]V=10*5*6\\10*5=50\\50*6=300\\V=300 in^3[/tex]
Answer:
the volume of the prism=length ×breadth ×height =10×5×6=300in³
In degrees, what is the measure of
Answer:
m<PFR=62
m<RFT=28
m<MFE=28
m<EFT=152
HOPE THIS HELPS
-Todo <3
Step-by-step explanation:
90=x+6+3x-4
90=4x+2
-2 -2
88=4x
/4 /4
x=22
3(22)-4=66-4=62
22+6=28
180-28=152
Which of the following is a sinusoid?
O A. y = x
OB. x2 + y2 = 1
O C. y = cos x
O D. y=[x]
The function y = cos(x) : represents a sinusoid. It has a maximum value of 1 and minimum of -1.
What is sinusoid?A sine wave or a sinusoidal wave is graph representing the sine function.It has a maximum value of 1 and minimum of -1. It is a periodic function.The sine function is given by {y} = sin{x}.Given is to identify which of the given functions are sinusoids.
Now, we can see that -
y = x : represents a straight line.
x² + y² = 1 : represents a circle with unit radius.
y = cos(x) : represents a sinusoid. It has a maximum value of 1 and minimum of -1.
Therefore, the function y = cos(x) : represents a sinusoid. It has a maximum value of 1 and minimum of -1.
To solve more questions on functions, visit the link below-
https://brainly.com/question/30194223
#SPJ7
I need this done today whoever gets this correct gets brainliest!!! PLZZ HELPP MEE!!!
hurryy
Answer:
1) true
2) false
3) true
4)false
Step-by-step explanation:
It's a number cube with 1-6