A vertical pole, 75 feet tall, casts a shadow onto the ground. If the angle of elevation from the tip of the shadow on the ground to the top of the pole is θ=60∘, use the dimensions given to find the length of the shadow, a, to the nearest tenth of a foot. (Do not include units in your answer)

Step-by-step explanation:

1.

x = number

x/4 = x/3 - 1

x/3 - x/4 = 1

4x/12 - 3x/12 = 1

x/12 = 1

x = 12

2.

the numerator is the top (it gives the number of the parts of the whole that are combined in the fraction).

the denominator is the bottom (it says in how many and therefore how small parts we split the whole).

x = numerator

y= denominator

fraction is x/y

y = x + 2

(x+3)/(y+3) = 23

x + 3 = 23(y + 3) = 23y + 69

x = 23y + 66

now we use the first equation (y = x + 2) and substitute it into the last equation :

x = 23(x + 2) + 66 = 23x + 46 + 66 = 23x + 112

x = -112/22 = -56/11

y = -68/22 = -34/11

the original fraction is

x/y = -56/11 / -34/11 = -56/11 × -11/34 = 56/34 = 28/17

3.

in 1 hour the large pipe has done 1/3 of the work. and the small pipe 1/6 of the work.

so, in total in 1 hour we get (1/3 + 1/6) done.

what factor do we need to multiply (1/3 + 1/6) to get 1/1 (the whole work) ?

x(1/3 + 1/6) = 1

x(2/6 + 1/6) = 1

x(3/6) = 1

x × 1/2 = 1

x = 2

it takes both pipes together 2 hours to empty the pool.

4.

very similar to 3.

we are just using days instead of hours.

in 1 day Erwin gets 1/2 of the work done and Ana 1/5 of the work. so, together, 1/2 + 1/5 of the total work in one day.

so, how many days to get 1/1 (the whole work) done ?

x(1/2 + 1/5) = 1

x(5/10 + 2/10) = 1

x(7/10) = 1

7x = 10

x = 10/7

it takes them together 10/7 days to mow the whole lawn.

Answer:

UWUWUWUUWUWUWUWUUWUWUW

Step-by-step explanation:

UwU OwO

Hi

Answer:

4+5+9+8+9=35

Step-by-step explanation:

nvm about that

Answer:

Below.

Step-by-step explanation:

4 + 5 + 9 + 8 + 9 = 35.

Answer:

Kendra stayed constant after two hours: meaning she could have went out or done whatever. She has stayed constant until (5,100) and then at (6,45) she started to go downhill.

Basically the graph goes (0,210) starting point; (1.5,155) started to go downhill; (2,100) stayed CONSTANT until (5,100) and at (6,45) she went downhill.

Yk for the answer hoped it helped :D

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

just used a calculator

Answer:

-3

Step-by-step explanation:

we take two points to find slope m

lets take ( 1, 4) and ( 2, 1)

then m=(1-4)/(2-1)

m=(-3)/(1)

m= -3

The satay in of a line is written as y = slope(x) + y intercept.

In the given equation the y-intercept is -1

Step-by-step explanation:

Simple Interest

Discussing interest starts with the principal, or amount your account starts with. This could be a starting investment, or the starting amount of a loan. Interest, in its most simple form, is calculated as a percent of the principal. For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5. The total amount you would repay would be $105, the original principal plus the interest.

four rolled-up dollar bills seeming to grow out of dirt, with a miniature rake lying in between them

SIMPLE ONE-TIME INTEREST

I

=

P

0

r

A

=

P

0

+

I

=

P

0

+

P

0

r

=

P

0

(

1

+

r

)

I is the interest

A is the end amount: principal plus interest

P

0

is the principal (starting amount)

r is the interest rate (in decimal form. Example: 5% = 0.05)

EXAMPLES

A friend asks to borrow $300 and agrees to repay it in 30 days with 3% interest. How much interest will you earn?

Show Solution

The following video works through this example in detail.

One-time simple interest is only common for extremely short-term loans. For longer term loans, it is common for interest to be paid on a daily, monthly, quarterly, or annual basis. In that case, interest would be earned regularly.

For example, bonds are essentially a loan made to the bond issuer (a company or government) by you, the bond holder. In return for the loan, the issuer agrees to pay interest, often annually. Bonds have a maturity date, at which time the issuer pays back the original bond value.

EXERCISES

Suppose your city is building a new park, and issues bonds to raise the money to build it. You obtain a $1,000 bond that pays 5% interest annually that matures in 5 years. How much interest will you earn?

Show Solution

Further explanation about solving this example can be seen here.

Answer:

c because if the converse is true then the inverse is also logically through

Answer:

the opposite of 1 1/2(1.5) is -1 1/2(-1.5)

Step-by-step explanation:

Answer:

The given average speed =  18 km per hour

Now, as we know from the conversion parameters:

 1000 meters   = 1 km

or 1 meter =  ( 1/ 1000) kilometer

So, we can use the above information to convert average speed into meters per hour.

The given speed =  18 km / hr = 18 x (1000) meters /hr

                            = 18,000 meters / hr

Step-by-step explanation:

Answer:

18, because the number of catalogs is 72/5 ÷ 4/5

Step-by-step explanation:

The answer is the last option because in total, the shelf is 72/5 inches wide. Given each catalog is 4/5 inch wide, and we want to find how many catalogs can fit in the shelf, we have to divide 72/5 by 4/5. When we divide 72/5 by 4/5, we get 18.

Answer:

18

Step-by-step explanation:

Because 72/5 by 4 over 5

72/4

= 18

Hope this helps :) Pls mark brainliest if you want

Answer: x=1, y=2

Step-by-step explanation:

3(1) - 2(2)=-1

Answer:

The answer is 4

Step-by-step explanation:

2(2/3)2(1/2)3

Answer:

h=23

Step-by-step explanation:

triangle equals 180 degrees

180-40=140

140/4=35

Answer:

0÷3= 0

0/5= 0

Step-by-step explanation:

sorry if I did it wrong

Answer:

Hi please make me brainly

Step-by-step explanation:

please

m=number of miles

A=$110+$0.50m

B=$80+$0.80m

$110+$0.50m=$80+$0.80m Subtract ($80+$0.50m)

$30=$0.30m Divide each side by $0.30

100=m ANSWER: More than 100 miles must be driven per day to make Company A a better deal.

Answer:

1/3.  To reduce a fraction, divide both the numerator and denominator by the GCF.

Answer:

14 batches

Step-by-step explanation:

take 5/12 and 1/34 and find the lowest common factor (204) mult 5/12 by 17

85/204 and 1/34 by 6 is 6/204 figure out how many times 6 goes into 85 about 14.17

so 14 full batches

Answer:

x = 3.2

Step-by-step explanation:

Divide 400 by 125 to get x.

Answer:

Step-by-step explanation:

[tex]125 = x \: \: . \: \: 400 \\ \frac{125}{400} \times 100\% = x \\ 31.25\% = x[/tex]

Answer:

1) 2

2) 1

3) 8

Step-by-step explanation:

brainliest plz

Derivatives can be calculated from graphed functions.

The values of the derivatives are:

The given parameter is:

[tex]\mathbf{h(x) = f(g(x))}[/tex]

Start by calculating the equations of f(x) and g(x)

Graph f(x)

The slopes of f(x) are: 3/2 and -3/2

So, the equations are:

[tex]\mathbf{f(x) = \frac{3}{2}x,\ 0 \le x \le 2}[/tex]

[tex]\mathbf{f(x) = -\frac{3}{2}x,\ x \ge 2}[/tex]

Graph g(x)

The slope of g(x) is: -1/2

So, the equation is:

[tex]\mathbf{g(x) = -\frac 12x}[/tex]

For x = 1 and x = 2, we have:

So, we have:

[tex]\mathbf{h(x) = f(g(x))}[/tex]

Where:

[tex]\mathbf{f(x) = \frac{3}{2}x\ 0 \le x \le 2}[/tex] and [tex]\mathbf{g(x) = -\frac 12x}[/tex]

[tex]\mathbf{h(x) = f(g(x))}[/tex] becomes

[tex]\mathbf{h(x) = \frac{3}{2}(-\frac{1}{2}x)}[/tex]

Open brackets

[tex]\mathbf{h(x) = -\frac{3}{4}x}[/tex]

Differentiate

[tex]\mathbf{h'(x) = -\frac{3}{4}}[/tex]

So:

[tex]\mathbf{h'(1) = -\frac{3}{4}}[/tex]

[tex]\mathbf{h'(2) = -\frac{3}{4}}[/tex]

For x = 3, we have:

[tex]\mathbf{h(x) = f(g(x))}[/tex]

Where:

[tex]\mathbf{f(x) = -\frac{3}{2}x\ x \ge 2}[/tex] and [tex]\mathbf{g(x) = -\frac 12x}[/tex]

[tex]\mathbf{h(x) = f(g(x))}[/tex] becomes

[tex]\mathbf{h(x) = -\frac{3}{2}(-\frac{1}{2}x)}[/tex]

[tex]\mathbf{h(x) = \frac{3}{4}x}[/tex]

Differentiate

[tex]\mathbf{h'(x) = \frac{3}{4}}[/tex]

Substitute 3 for x

[tex]\mathbf{h'(3) = \frac{3}{4}}[/tex]

Hence, the values of the derivatives are:

[tex]\mathbf{h'(1) = -\frac{3}{4}}[/tex], [tex]\mathbf{h'(2) = -\frac{3}{4}}[/tex] and [tex]\mathbf{h'(3) = \frac{3}{4}}[/tex]

Read more about graphed functions at:

https://brainly.com/question/11804653

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x < 1

Interval Notation:

( − ∞, 1)

In coordinates, the first number is the x and the second one is y. In (4,2), 4 is the x and 2 is the y. The x axis goes from left to right and the y axis goes from up to down.

Answer:

yes

Step-by-step explanation:

3(8+4)

(3×8)+(3×4)

24+12

36

is that all of the question?