Unit 7: Polygons & Quadrilaterals
Homework 3: Rectangles
a 2-page document! **

Answer:

3200

Step-by-step explanation:

Simple interest  = [ (Principle x Rate x time) /100 ]

Substitute all values: (800 x 2 x 20)/100 = 3200

Hope this helps

Answer:

1120

A=p+I I = prt/100=800x20x2/100=320

A= P+I=800+320=1120

Answer:

The second one.

Step-by-step explanation:

For first function y = 2x the rate of change = 2.

Second function: rate of change = (12-6)/(3-1) = 6/2 = 3

Third: it's -0.2.

Fourth: it's  (2.5 -3)/ 1= -0.5.

Answer:

360 cubic units

Step-by-step explanation:

height = 4 units

length = 10 units

breadth = 6 units

Volume of a cuboid = l × b × h

V = 10 × 6 × 4

V = 10 × 24

V = 240 cubic units

Now a scale factor of 1.5 units is applied to the dimensions,

new volume = 240 × 1.5 = 360

∴ New volume of the prism = 360 cubic units

Answer:

240 cubic units

Step-by-step explanation:

Answer:

48.6

Step-by-step explanation:

If you use 8.1g of sugar for 1 cake then 6 cakes will be 48.6g of sugar

Just do 8.1*6 and you will get 48.6

Answer:

Anas= RS 1200

Ahsan= RS 800

Step-by-step explanation:

Given data

Amount=  Rs 2000

Ration=  6:4

Combined ratio = 6+4= 10

Let us apply the part to all method to solve for the individual amount

For Anas

2000/10= x/6

cross multiply

10x= 2000*6

10x=  12000

x= 12000/10

x= 1200

For Ahsan

2000/10= x/4

cross multiply

10x= 2000*4

10x=  8000

x= 8000/10

x= 800

Answer:y=-3

Step-by-step explanation:

The value of the asymptote of the function is,

⇒ y = - 3

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

g(x) is an exponential function shown in the graph.

We know that;

On the graph of an exponential function, the asymptote is usually the x-axis or the line y = 0.

Hence, From graph,

The value of the asymptote of the function is,

⇒ y = - 3

Thus, he value of the asymptote of the function is,

⇒ y = - 3

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Answer:

22 cm

Step-by-step explanation:

Answer:

The shape is made up of a square and a rectangle.

So calculating the area of both the figures and then adding them would give us the required result.

Area of square = (a)² = (4)² = 16 sq unit.

Area of rectangle = l×b = 3×2 = 6 sq unit.

Now, the required area = 16 + 6 = 22 sq unit.

Answer:

Step-by-step explanation: I don’t know I just want my extra points

Answer: 164 ft

Step-by-step explanation:

tan 48=215/x

-> x.tan48=215

->x =215/tan 48

->x = 193.6

tan 31=215/y

-> y.tan31 = 215

-> y= 215/ tan 31

-> y= 357.82

BC= y-x

= 357.82-193.6

= 164.22 = 164 ft

Answer:

While the title was not in general use until much later, Martha Washington, the wife of George Washington, the first U.S. president (1789–1797), is considered to be the inaugural first lady of the United States. During her lifetime, she was often referred to as "Lady Washington".

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Answer:

there are many first lady's but because you said was like past tense the last first Lady was Melania Trump. the current first Lady is Jill Biden! I hope this helps!!♡♡

Answer:

[tex]10 \times 2 = 20 \\ 5 \times 3 = 15[/tex]

answer:10×2=20

5×3=15

Answer:

y = 7.5

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 10 when x = 20

10 = 20k ( divide both sides by 20 )

[tex]\frac{1}{2}[/tex] = k

y = [tex]\frac{1}{2}[/tex] x ← equation of variation

When x = 15 , then

y = [tex]\frac{1}{2}[/tex] × 15 = [tex]\frac{15}{2}[/tex] = 7.5

Answer:

44

Step-by-step explanation:

Gina is four years younger so

18+4=22

since its twice davids age

22×2=44

Answer:

Perimeter = 24;  Area = 27

Step-by-step explanation:

If you draw out the coordinates on paper you can clearly see side lengths be seeing how far away they are from eachother on the axis'

From Point N to point P it travels the x axis by 9 units.

Therefore the bottom side is 9 units long.

From Point N to Point R it travels the y axis by 3 units

therefore the left side length is 3 units long

Area = b*h = 9*3 = 27

Perimeter = 2b + 2h = 2*9 + 2*3 = 24

If the ice melt in the cone shaped cup, it won't overow because the volume of the cone shaped cup is greater than the volume of the snowcone ice.

The snowcone is a sphere.

volume = 4 / 3πr³

where

Therefore,

volume of the snowcone = 4 / 3 × π × 4³

volume of the snowcone = 256 π/ 3 = 85.33π

Therefore, the volume of the cone canbe found as follows:

volume of the cone shaped paper = 1 / 3 πr²h

h = 12 cm

r = 6cm

volume of the cone shaped paper = 1 / 3 × π × 6² × 12

volume of the cone shaped paper = 144π

Therefore, let find if the ice melt in the cone whether it will overow.

144π - 85.33π = 58.67π

Therefore, the volume of the cone shaped paper is greater than the volume of the snowcone ice . This means that if the ice melt in the cup , it won't overow.

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Answer:

768 students are expected to enroll

Step-by-step explanation:

24 : 1

? : 32

24 times 32 = 768

Answer:

H

Step-by-step explanation:

the point H is (-3, 2) which fits the requirements

Answer:

Choice C

Step-by-step explanation:

The Equation of a circle is (x-h)^2+(y-k)^2=r^2, where h and k are the x and y coordinates respectively of the center of the circle, and r is the radius. Because the center here is (2, -5), we have (x-2)^2+(y- - 5)^2, and the two minuses become (y+5)^2. This eliminates A and B. The radius is 4, so r^2=16, and thus, we get C.

Answer:

Hi! The answer to your question is D. [tex]6^5 * 3^5[/tex]

Step-by-step explanation:

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Answer:did you get the answer tho

Step-by-step explanation:

Answer:

6,600 cm per minute

Step-by-step explanation:

I got 6,600 by taking 9,900 divided by 1.5 minutes because it took the trout 1.5 minutes to swim 6,600 cm. 9,900/1.5= 6,600. So, the trouts was swimming at a speed of 6,600 cm per minutes.

Answer:

$135

Step-by-step explanation:

She would make 9 pairs of earrings, they have the least cost and the highest profit. No other combination would yield a higher profit.

x^2=37 ===》 x = + radical 37( acceptable )

===》 x = - radical 37(unacceptable)

This question is incomplete, the complete question is;

The following is based on information from The Wolf in the Southwest: The making of an Endangered Species by David E. Brown ( University of Arizona Press). Before 1918the proportion of female wolves in the general population of all southwestern wolves was about 50%. However, after 1918, southwestern cattle ranchers began a widespread effort to destroy wolves. In a recent sample of 34 wolves, there were only 10 females. One theory is that male wolves tend to return sooner than females to their old territories where their predecessors were exterminated. Do these data indicate that the population proportion of female wolves is now less than 50% in the region? Use ∝ = 0.01

Answer:

Since p-value (0.0082) < ∝ ( 0.01 ), we reject null hypothesis.

Therefore, at 0.01 significance level, we have sufficient evidence that the population proportion of female wolves is now less than ( 0.5 ) 50% in the region.

Step-by-step explanation:

Given the data in the question;

Hypothesis;

H₀ : p ≥ 0.5   { 50% }

H₁ : p < 0.5

This is a lower tailed test { H₁ : p < 0.5 }

sample size n = 34

number of female wolves x = 10

sample proportion p" = x / n = 10 / 34 = 0.2941176

claimed proportion P = 0.5

significance level ∝ = 0.01

we determine the standard deviation of p"

σ[tex]_{p"[/tex] = √[ (p(1 - p)) / n ] = √[ (0.5(1 - 0.5)) / 34 ]

= √[ (0.5 ×0.5) / 34 ]

σ[tex]_{p"[/tex] = 0.08575

Test statistics

[tex]z_{observed[/tex] = (p" - 0.5) / σ[tex]_{p"[/tex]

[tex]z_{observed[/tex] = (0.2941176 - 0.5) / 0.08575

[tex]z_{observed[/tex] = -2.40

so

Test statistic : -2.40  

Since its a lower tailed test;

P-value = P( Z < [tex]z_{observed[/tex] ) = P( Z < -2.40 ) = 0.0082

Rejection criteria: Reject H₀ if p-value < ∝

Decision:

Since p-value (0.0082) < ∝ ( 0.01 ), we reject null hypothesis.

Therefore, at 0.01 significance level, we have sufficient evidence that the population proportion of of female wolves is now less than ( 0.5 ) 50% in the region.

Answer:

oop, okay

Step-by-step explanation:

Answer:

twitter should work

go on it but also other websites so when you go to delete your history (ctrl h on chrome) it'll match up

example: go on twitter at 2:25 but also some other websites and switch back until 2:26 go back on and then other websites

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

3(x-4)=2(-2x+1)

3x-12=-4x+2

3x-(-4x)-12=2

3x+4x=2+12

7x=14

x=14/7

x=2

Answer:

Thats kinda not possible but -9 and -9 makes -18 but it would multiply to positive 81  i don;t know

Step-by-step explanation:

Answer:

There are 50 students in total in the school play, acting and working behind the scene.

Step-by-step explanation:

Since the statement indicates that 30% of the scholars are working as stagehands, you can subtract this from 100% that represents the total amount of student in the school play to find the percentage that are actors and actresses:

100%-30%=70%

Now, as you know that 70% of the students are actors and actresses and the statement indicates that they are 35, you can use a rule of three to find the amount of students that represent 100%:

70%    →    35

100%   →     x

x=(100*35)/70

x=50

According to this, the answer is that there are 50 students in total in the school play, acting and working behind the scene.

Answer:

slope = 3

Step-by-step explanation:

Up 3 over 1, on the grid so,

3/1 = 3

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

-4 + (-1) - (-3) = -2

answer = 5

Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m. The larger the value is, the steeper the line. Given m, it is possible to determine the direction of the line that m describes based on its sign and value:

A line is increasing, and goes upwards from left to right when m > 0

A line is decreasing, and goes downwards from left to right when m < 0

A line has a constant slope, and is horizontal when m = 0

A vertical line has an undefined slope, since it would result in a fraction with 0 as the denominator. Refer to the equation provided below.

Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:

m =

y2 - y1

x2 - x1