Susan has a birdfeeder in the shape of a rectangular prism. It is filled with bird seed to a height of 58 feet as shown. How many cubic feet of bird seed does Susan need to fill the rest of the birdfeeder?

Answer:

Tan N = 4 / 3

Tan L = 3 / 4

Step-by-step explanation:

By Pythagoras theorem,

(LN)² = (MN)² + (LM)²

10² = 6² + (LM)²

100 = 36 + (LM)²

(LM)² = 100 - 36

(LM)² = 64

LM = 8

Tan N

= Opposite / Adjacent

= LM / MN

= 8 / 6

= 4 / 3

Tan L

= 1 / Tan N

= 1 / ( 4 / 3 )

= 3 / 4

Answer:

[tex]x = 26[/tex]

Step-by-step explanation:

Supplementary Angles add up to 180.

Angle C and Angle D add up to 180.

[tex]128 + 2x = 180[/tex]

[tex]2x = 52[/tex]

[tex]x = 26[/tex]

Answer:

see explanation

Step-by-step explanation:

(a)

constant of proportion = [tex]\frac{d}{t}[/tex] ( d is distance, t is time )

Use any ordered pair from the table

Using d = 225 and t = 5 , then

constant = [tex]\frac{225}{5}[/tex] = 45

(b)

Unit rate is then 45 miles per hour

(c)

The equation relating the quantities is

d = 45t

Answer:

(a)

constant of proportion =  ( d is distance, t is time )

Use any ordered pair from the table

Using d = 225 and t = 5 , then

constant =  = 45

(b)

Unit rate is then 45 miles per hour

(c)

The equation relating the quantities is

d = 45t

Answer:

x = -1

y = 2

Step-by-step explanation:

x + y = 1

y = -x + 1

y = -x + 1  (Multiply this by -1)

y = 3x +5

-y = x - 1

y = 3x +5

0 = 4x + 4

4x = -4

x = -1

x + y = 1

-1 + y = 1

y = 2

The graph of g(x) is (a) an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 2) and goes through (1, 5).

The function f(x) is given as:

[tex]f(x) = 2(0.4)^x[/tex]

[tex](x,y) \to (-x,y)[/tex]

This means that:

[tex]g(x) =f(-x)[/tex]

[tex]f(-x) = 2(0.4)^{-x}[/tex]

[tex]g(x) = 2(0.4)^{-x}[/tex]

Hence, the graph of g(x) is graph (a)

Read more about function transformation at:

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Answer:

43.27

Step-by-step explanation:

(24×24)+(36×36)= 1872

√1872=43.27

Using the Pythagorean theorem:

Hypotenuse = sqrt( 24^2 + 36^2)

Hypotenuse = sqrt(576 + 1296)

Hypotenuse = sqrt(1872)

Hypotenuse = 2sqtt(469) or 43.266

Answer:

6 watches, 12 necklaces, and 24 earrings.

Step-by-step explanation:

turn the number of watches into x

42 = 4x + 2x + x

42 = 7x

x = 6

she has 6 watches, 12 necklaces, and 24 earrings

Answer: $1.57

Step-by-Step Explanation:

Study.com says: “the formula for calculating the sales tax on a good or service is: selling price x sales tax rate, and when calculating the total cost of a purchase, the formula is: total sale amount = selling price + sales tax,” (study.com, How to Calculate Sales Tax).

So, to find the amount of money they are charging for taxes, we need to use the formula: $18.50 x 8.5%. The selling price is the total sum of the purchase, and the sales tax rate is the percentage number that is apply to every sale as taxes.

Here’s how we solve:

1. To multiply, we first need to change our percentage into a decimal by dividing it by 100. —> 8.5/100 = 0.085

2. Multiply the purchase times the sales tax rate, which is converted into a decimal. —> 18.50 x 0.085 = 1.5725

3. Because money only uses the tenths and the hundredths places, we round up. —> 1.5725 ~ 1.573 ~ 1.57

4. Our answer for the tax amount charged in money is $1.57

Hope this helps!

Answer:

-5x^6-8x^2+6x+11

Step-by-step explanation:

(-5x^6+7x+1)-(8x^2+x-10)

Remove parentheses

-5x^6+7x+1-(8x^2+x-10)

-(8x^2+x-10)=-8x^2-x+10

-5x^6+7x+1-8x^2-x+10

Simplify

-5x^6-8x^2+6x+11

Answer:

144, 36

Step-by-step explanation:

you know that if you add the two angles it will equal 180 degrees. so add the two angles and make them equal to 180 and solve for x.

(4x+8) + (x+2)=180

5x+10=180

5x=180-10

5x=170

x=34

now replace x in each equation:

4(34)+8=144

34+2=36

Answer:

What type of circle would you use when graphing x≥5: I do not know sorry :(

When graphing x≥5 on a number line, you would point your arrow which way?

:To the right

Solve the following inequality

x−3>7: x>10

Step-by-step explanation:

I did the math :)

Answer:

false

Step-by-step explanation:

The horizontal axis is the x axis.

I don't really know what your school wants in the blank but here's what I think it is:

The horizontal axis on the coordinate grid is the x axis.

Hope this helps! let me know if its right!

Answer:

105

Step-by-step explanation:

x + 25 + 80 = 180

x + 105 = 180

x = 75

x + y = 180

75 + y = 180

y = 105

Answer:

The answer is: the domain of the function that show the population-growing per day is

\mleft{

[tex]x \geqslant 0[/tex]

\mright}

Because the domain is the time, in this cases the days.

Answer:

2 hours 48 minutes

Step-by-step explanation:

Debra=1 plowing job / 7 hours

Debra+Alexandra=1 plowing job / 2 hours

1/2-1/7

=7/14-2/14

=5/14

=1/14/5 (Alexandra can do 1 unit of plowing job per 14/5 hours)

14/5 hour=2 hours 48 minutes (hope hits helps)

Alexandria to finish the same job alone in, 2 hours 48 minutes

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Debra and Alexandria can finish a plowing job in two hours if they work together.

And, Debra can do the job in 7 hours by herself.

Hence, We get;

For Debra = 1 plowing job / 7 hours

Debra + Alexandra = 1 plowing job / 2 hours

Hence, Time to take Alexandria to finish the same job alone is,

= 1/2 - 1/7

= 7/14 - 2/14

= 5/14

= 1/14/5 (Alexandra can do 1 unit of plowing job per 14/5 hours)

= 2 hours 48 minutes

Thus, Alexandria to finish the same job alone in, 2 hours 48 minutes

Learn more about the subtraction visit:

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#SPJ3

Answer:

c.

Step-by-step explanation:

Step-by-step explanation:

A rectangular prism is nothing but a cuboid. Let the length , width and height of the  rectangular prism be l, w and h.

We know that volume of a cuboid V = l×w×h

So,  l×w×h = 936

So, we can find any dimension of the prism provided the the other two dimensions are given to us.

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x - 3y = 3(x-y)

Answer:

15

Step-by-step explanation:

Assuming x is the length DB

Δ DSR and Δ DBC are similar, so ratios of corresponding sides are equal, that is

[tex]\frac{DB}{DS}[/tex] = [tex]\frac{DC}{DR}[/tex] , substitute values

[tex]\frac{DB}{10}[/tex] = [tex]\frac{12}{8}[/tex] ( cross- multiply )

8 DB = 120 ( divide both sides by 8 )

DB = 15

That is x = DB = 15

Answer:

5 pencils per box

Step-by-step explanation:

Answer:

4.4

Step-by-step explanation:

(-7/10 + 0.15) ÷ (-0.125)

(-70/100 + 15/100) ÷ (-0.125)

-55/100/-0.125

-.55/-0.125

4.4

Answer:

4 miles

Step-by-step explanation:

Answer:

4.5 miles

Step-by-step explanation:

18 miles 3 hours = 6 miles/hour

6 x (3/4) = 4.5 miles

Answer:

17 + m ≤ 65

Step-by-step explanation:

Maximum distance = 65 miles

Number of miles already ridden = 17

Expression to represent how many more miles, 'm' she can ride ;

Number of miles already ridden + m ≤ maximum distance

17 + m ≤ 65

m ≤ 65 - 17

m ≤ 48

The amount of additional miles Lyla can ride is at most 48 miles

Answer:

259.2

Step-by-step explanation:

multiply 18 x 8 x 1.8 to get 259.2cm

Answer:

D)  3x²y

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

12 days

Step-by-step explanation:

420/35 to find amount of days to finish book

420/35 = 12

Answer:

I would say either A or C

Step-by-step explanation: