Drag the correct number of pieces to show how to find the area of the shaded figure in two different ways. Pieces can be rotated to fit.
Answer:
21
Step-by-step explanation:
Remark
Draw a line across the east and west farthest points. If you count the lower left point as 0,0, I am talking about 1,6 and 7,6 What that does is divide the figure into a triangle and a trapezoid.
Triangle
The base goes from x = 1 to x = 7 when that new line is introduced which is 6 units parallel to the x axis.
The height goes from 4,4 to 4,6 which is 2 units in the y direction.
So the area = 1/2 (2)*(6) = 6 units.
Trapezoid.
h = 3 derived from 4,3 to 4,6 which is 3 points 6 - 3 = 3
b1 = 6 That's the line you just drew in.
b2 = 4 That comes from 2,3 to 6,3 6-2 = 4
Area = 1/2 (b1 + b2) * h
Area = 1/2 (6 + 4)* 3
Area = 5 * 3 = 15
Total Area = 15 + 6 = 21
Which expression has the greatest value?
Answer:
the last one
Step-by-step explanation:
[tex]\sqrt[3]{64}[/tex] and [tex]16^{3/2}[/tex] expressions have the greatest value.
What is square root and cube root of a number?
Square root of a number results a number that when square, gives us the previous number.
Similarly, cube root of a number results a number that when cubed, gives us the previous number.
Here, [tex]\sqrt[3]{64}[/tex]² = ∛(64 × 64) = ∛(8 × 8 × 8 × 8 × 8 × 8) = 8 × 8 = 64
[tex]16^{3/2}[/tex] = 4³ = 64
[tex]\sqrt[3]{8^{4} }[/tex] = ∛(8 × 8 × 8 × 8) = ∛(64 × 64) = ∛(4 × 4 × 4 × 4 × 4 × 4) = 4 × 4 = 16
√(16²) = √(16 × 16) = 16
Therefore, [tex]\sqrt[3]{64}[/tex]² and [tex]16^{3/2}[/tex] have the greatest value.
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Expand and simplify
2(m - 3) + 3(m + 4)
Answer:
5m+6
Step-by-step explanation:
Hello There!
We can simplify the given expression using distributive property
We can distribute the 2 to the m and - 3
2 * m = 2m
2 * -3 = -6
Now lets distribute the 3 to the m and the 4
3 * m = 3m
3 * 4 = 12
we´re left with
2m - 6 + 3m +12
our final step would be to combine like terms
2m + 3m = 5m
-6 + 12 = 6
so the simplified version would be
5m+6
If you make me go off to another site, dont answer. I just need a straight answer.
Thank you
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Evaluate (61/2.3-2/3)6
Answer:155.130435
Step-by-step explanation:
Theon took his wife and 2 children to a football game . Children 's ticket costs 1/3 the price of an adult ticket. Ticket Prices.Adult 's Ticket= ,Children =40.00. Theon received 10% discount on the total cost of 4 tickets. Calculate the amount of money Theom paid and how many adults ticket.
Answer:
288
Step-by-step explanation:
If the price of a children's ticket is 1/3 of an adult's, and we know that the price of a children's ticket = 40, than we also can calculate that the price of an adult ticket is 40 * 3 = 120
So the question boils down to how many adults and children. Well, Theon has a wife and 2 kids so we can safely assume that there are two adults and two children total (Theon and wife are adults) (2 children are children)
120*2 + 40 * 2 = 320
However, we need to eliminate 10% of the value since they get a discount
320 - 0.10 * 320 = 320 - 32 = $288
Dallas, Texas has an elevation of 200 feet above sea level. The city of Jacksonville is 300 feet less than the elevation of Dallas. Select all options that apply to Jacksonville. at sea level below sea level above sea level elevation of -100 feet elevation of 100 feet
Answer:
below sea level;
-100 feets
Step-by-step explanation:
Given that:
Dallas, Texas elevation = 200 feets
Jacksonville = 300 feets less than elevation of Dallas
Hence, elevation of Jacksonville :
Dallas elevation - 300 feets
200 feets - 300 feets = - 100 feets
Hence Elevation of Jacksonville city is - 100 feets
-100 feets, means elevation of Jacksonville city is below sea level (elevation points less than 0, are below sea level).
A parking space shaped like a parallelogram has a base of 17 feet and a height of 9 feet if a mini car 6 feet long and five feet wide parks in the space, then how many square feet of the parking space is not covered by the car
Answer:
123 cm²
Step-by-step explanation:
First of all, we need to know how exactly to find the area of a parallelogram.
Area of parallelogram= Base*Height
PARALLELOGRAM-
BASE= 17 ft
HEIGHT= 9ft
AREA= 17*9= 153 cm²
The area of parallelogram, will be considered as WHOLE AREA.
Now,
AREA OF MINI CAR-
length= 6 ft
Width= 5 ft
Area= 6*5= 30 ft ²
Square feet uncovere-
153 ft²- 30 ft²= 123 ft²
HOPE IT HELPS!
Please help me with this i will give brainliest
Answer:
i think it's 10%
Step-by-step explanation:
tell whether the ordered pair is a solution of the system of liner equation (3,2)x+y=5 y-2x=-4
Given:
The two linear equations are:
[tex]x+y=5[/tex]
[tex]y-2x=-4[/tex]
To find:
Whether the ordered pair (3,2) is a solution of the given system of liner equations.
Solution:
We have,
[tex]x+y=5[/tex] ...(i)
[tex]y-2x=-4[/tex] ...(ii)
If both the equations are satisfy by the point (3,2), then this point is the solution of the given system of equations.
Putting [tex]x=3,y=2[/tex] in (i), we get
[tex]3+2=5[/tex]
[tex]5=5[/tex]
This statement is true. It means the point (3,2) satisfies the equation (i).
Putting [tex]x=3,y=2[/tex] in (ii), we get
[tex]2-2(3)=-4[/tex]
[tex]2-6=-4[/tex]
[tex]-4=-4[/tex]
This statement is true. It means the point (3,2) satisfies the equation (ii).
Since both the equations are satisfy by the point (3,2), therefore the point (3,2) is the solution of the given system of equations.
Determine the y intercept (8gtade
10. Lori plans to buy a book for $15.99, a magazine for $3.45, and a
bookmark for $1.99. What is an estimate of the total cost of the items to
the nearest dollar?
A) $9.00
B) $20.00
C) $21.00
OD) $22.00
Answer:
C
Step-by-step explanation:
x+y=1
plz help
in x and y intercept form
Answer:
y=-x+1
Step-by-step explanation:
x+y=1
1. y needs to be by itself so you would subtract the x
2. y=-x+1
Mr. Alcazar bakes cookies in batches of 60 and batches of 90. If he bakes 6 batches of 60 cookies and 5 batches of 90 cookies, how many cookies
does he bake?
360 cookies
450 cookies
810 cookies
800 cookies
Answer:
810 Cookies
Step-by-step explanation:
6x60=360
5x90=450
360+450=810
What is the value of x in the figure
below?
PLEASE Help
Answer:
C) x = 50°
Step-by-step explanation:
In this figure, you can find x by first finding the three angles of the triangle and then applying the Vertical Angle Theorem. First, you need to find the angle in the top right. You can do this by subtracting 95 from 180 since 95 and the missing angle are supplementary:
180 - 95 = 85°
Now, you know two of the angles in the triangle: 85° and 45°. The angles of a triangle add up to 180°; you can use this knowledge to find the triangle's third angle:
85 + 45 + t = 180 (where t is third angle)
130 + t = 180
t = 50°
Now that you know the measure of the third angle, you can apply the Vertical Angles Theorem to find x. The Vertical Angles Theorem states that if two lines intersect, the vertical angles are equal. x is the vertical angle pair for the 50° angle, and therefore x must equal 50°.
Hey there!
To solve this, we can use the linear pair theorem for the 95 degree angle and the missing angle next to it. That gives us 85.
Next, we can use the angles sum theorem for a triangle, and solve for the angle across from x. That gives us 50.
Lastly, we can use the vertical angles theorem, which shows us that x is equal to the angle opposite from it, or 50.
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Given: cos θ > 0, csc θ < 0
Which quadrant does θ lie?
A.) I
B.) II
C.) III
D). IV
Derek's car has run out of gasoline. He walks 24 km west and then 10 km south looking for a gasoline station. If he is now h km directly from his starting point, find the value of h
Answer:
the value of h is √676km
Step-by-step explanation:
The computation of the value of h is shown below
Here we apply the Pythagoreus theorem
= 24^2 + 10^2
= 576 + 100
= √676
Hence, the value of h is √676km
We simply determine by using the Pythagoreus theorem
The chart below shows the number of sit-ups Annie did starting May 1. If this trend continues, how many sit-ups is Annie expected to do on May 11
Answer:
550 sit-ups
Step-by-step explanation:
Given
See attachment for chart
Required
Number of sit-ups on March 11
Represent the number of sit-ups with x and the days with y.
So:
[tex](x_1, y_1) = (1,50)[/tex] --- May 1
[tex](x_2, y_2) = (2,100)[/tex] --- May 2
First, we calculate the slope of the line chart.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{100 - 50}{2-1}[/tex]
[tex]m = \frac{50}{1}[/tex]
[tex]m = 50[/tex]
Next, we calculate the equation using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 50(x - 1) + 50[/tex]
[tex]y = 50x - 50 + 50[/tex]
[tex]y = 50x[/tex]
So, on May 11.
[tex]x= 11[/tex]
Substitute 11 for x
[tex]y = 50 * 11[/tex]
[tex]y = 550[/tex]
A study is done on the population of a certain fish species in a lake. Suppose that the population size P(1) after years is given by the following exponential
function.
P(t) = 400(1.22)
Find the initial population size.
Does the function represent growth or decay?
O growth O decay
By what percent does the population size change each year?
Answer:
Growth22%Step-by-step explanation:
Given function:
[tex]P(t) = 400(1.22)^{t}[/tex]Initial population size is when t = 0
P(0) = 400(1.22)⁰ = 400(1) = 400The multiple of 1.22 is applied every year, so the ratio of change is:
1.22 = 122% = 100% + 22%This is an exponential growth which represents 22% annual growth.
The function is
y=400(1.22)^tAs per y=ab^x
1.22 is the rate of changeIts growth as it's greater than 1
The percentage increase is
1.22-10.2222%if the original parabola defined by y= x ^2, how would it change if y= 2 (x - 3) +1 were graphed instead?
Answer:
It would be stretched vertically by a factor of 2, shifted right 3, and shifted up 1
Step-by-step explanation:
Note that inside the parentheses, the shift is the opposite direction of the add/subtract sign.
Answer: A
Step-by-step explanation:
EMERGENCY!! please answer!!
4. What is the slope-intercept equation of the
line that goes through the points (1, 5) and
(2,8)?
A. y = 2x - 3
B. y = x + 1
C. y = 3x + 2
D. y =- 1.5x – 2
Answer:
Answer C: y=3x+2 because the y-intercept is positive 2 if you graph it
Find the measure of Arc VF.
Answer:
120
Step-by-step explanation:
i did it
Draw triangle ABC so that
AB = 6 cm. A = 70°. and B = 50°
And then calculate the measure of angle ABC
Answer:
abc=60
bc 180-70-50=60
What is f(x)=x^2-8x y-intercept?
Answer:
x(x−8y)
Step-by-step explanation:
Find the Greatest Common Factor (GCF).
GCF = xx
Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
than your answer is x(x-8y)
13.8ft
15.6ft
23.4ft
46.8ft
Answer:
it is 15.6ft because you need to add 7.8+7.8= 15.6ft
factor 18s-63
A 9(2s+7)
B 6(3s-11)
C 18(s-3)
D 9(2s-7)
Answer:
it's D
Step-by-step explanation:
pls give me da crown
The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
Answer:
0
Step-by-step explanation:
3
Carl's baseball team is selling
trash bags to raise money for
uniforms and equipment. Each
player starts with a credit of $50
towards their sales, and each roll of
trash bags sells for $8. Determine
how many rolls of trash bags each
person must sell to make $300.
Answer:
32
Step-by-step explanation:
One member would make 250$ by selling 31.25 rolls. Which if you round up you get 32. You can't sell a quarter of a roll so you must go up one therefore the answer is one person must sell 32 rolls in order to make 300$ including the 50$ already towards his credit.
Hiiooo! Can someone please help ❤️❤️❤️
Answer:
tan x = [tex]\frac{f}{e}[/tex]
cos x = [tex]\frac{e}{d}[/tex]
sin x = [tex]\frac{f}{d}[/tex]
Step-by-step explanation:
tan = [tex]\frac{opposite}{adjacent}[/tex]
tan x = [tex]\frac{f}{e}[/tex]
cos = [tex]\frac{adjacent}{hypotenuse}[/tex]
cos x = [tex]\frac{e}{d}[/tex]
sin = [tex]\frac{opposite}{hypotenuse}[/tex]
sin x = [tex]\frac{f}{d}[/tex]