A cell phone tower casts an 80-foot shadow. At the same time, a 6-foot fence
post casts a shadow of 4 feet. What is the height of the tower?

Step-by-step explanation:

A=a+b/2

2×A=a+b

2A=a+b

2a-a=b

a=b

hope it helps

Answer:

A=2

and B=2

Step-by-step explanation:

If you add two plus two you get four, and divided by two you get 2.

Answer: x^3

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

a. F=1.8c + 32

b. 71.6 degrees Fahrenheit

c. c=(F-32)/1.8

d. 28.3 degrees Celcius

Step-by-step explanation:

a. Given the two data points we can create an equation in slope-intercept form.

The y-intercept is 32

Slope can be found by doing 212-32/100-0 = 180/100 = 1.8

F=1.8c + 32

b. We can use this formula to solve for Fahrenheit

F=1.8(22)+32

F=71.6 degrees

c. Isolate c

F-32=1.8c

(F-32)/1.8=c

d. We can use this formula to solve for Celcius

(83-32)/1.8=c

c= 28.3333333 degrees

We can round that to 28.3 degrees Celcius

Answer:

a)F =1.8C +32

b) f(22) = 68 F

c)  C = 5/9F -17  7/9

d) 28.3

slope=   5/9  

B= -17  7/9  

Step-by-step explanation:

x1 y1  x2 y2

0 32  100 212

(Y2-Y1) (212)-(32)=   180  ΔY 180

(X2-X1) (100)-(0)=    100  ΔX 100

slope= 1  4/5    

B= 32          

Y =1.8X +32    

Answer:

Answer= 45 units

Step-by-step explanation:

lengths = 3 units

width = 3x5= 15 units

area= length times width= 3x15= 45 units!

Hope this helps :)

Answer:

At, x=-5

Step-by-step explanation:

(2-4)(x+5)=-2×0

Answer:

You have done it wrong.

Step-by-step explanation:

4 3/7 - 5/7 = 3 5/7

We can change the equation to a improper fraction first.

4 3/7 = 4*7+3 = 31/7

31-5 = 26

Therefore the answer is 26/7.

simplify

The answer is equal to 26/7, or 21/7 + 5/7

Which is 3 5/7

Sorry but you did it wrong...

First you gonna make 4[tex]\frac{3}{7}[/tex] become 3[tex]\frac{10}{7}[/tex] ( 4 -> 3 [tex]\frac{7}{7}[/tex] - *you need to make it become the same denominator)

Lets do it:  3[tex]\frac{10}{7}[/tex] - [tex]\frac{5}{7}[/tex] = ...

Because in  [tex]\frac{5}{7}[/tex]  doesn't have a whole number so you will still keep 3

                 3[tex]\frac{10}{7}[/tex] - [tex]\frac{5}{7}[/tex] = 3.....

Next, you gonna subtract [tex]\frac{10}{7}[/tex] - [tex]\frac{5}{7}[/tex] = [tex]\frac{10-5}{7}[/tex] = [tex]\frac{5}{7}[/tex]

                 3[tex]\frac{10}{7}[/tex] - [tex]\frac{5}{7}[/tex] = 3[tex]\frac{5}{7}[/tex]

SO the answer for 4[tex]\frac{3}{7}[/tex] - [tex]\frac{5}{7}[/tex] is 3[tex]\frac{5}{7}[/tex]

Hope it helps, Studywell!

Answer:

Al real numbers except 4/3

Answer:

Uhh I think some information is missing I am not sure tho

Step-by-step explanation:

230m...................

Answer: so the answer would actually b

Step-by-step explanation:

Answer:

610

Step-by-step explanation:

Given:

Add:

259 + 431 = 690

Subtract:

1300 - 690 = 610

So, on Wednesday 610 emails were sent out.

Hope this helped.

Step-by-step explanation:

2a = 10 because a = 5 and 2a means 2 × a which is the same as 2 × 5 and this equals 10.

hope this helps

Answer:

6/25

Step-by-step explanation:

.24 = 24/100 = 6/25

Answer:

6/25

Step-by-step explanation:

step 1 The decimal number = 0.24

step 2 Write it as a fraction

0.24/1

step 3 Multiply 100 to both numerator & denominator

(0.24 x 100)/(1 x 100) = 24/100

It can be written as 24% = 24/100 or 24/100

step 4 To simplify 24/100 to its lowest terms, find LCM (Least Common Multiple) for 24 & 100.

4 is the LCM for 24 & 100

step 5 divide numerator & denominator by 4

24/100 = (24 / 4) / (100 / 4)

= 6/25

6/25 is a simplest fraction for the decimal point number 0.24

Answer:

Ignorance, or a lack of knowledge, isn't usually viewed as a good thing. However, there may be situations when you're happier not knowing the truth. A common expression used to describe these situations is “Ignorance is bliss.” This phrase is an idiom, which is means that it isn't meant to be taken literally.

I am super late

Answer:

200.

Step-by-step explanation:

-------- 200 -------

Hope that helps.

Answer:

You bought 9 notepads.

Step-by-step explanation:

Buying two $5 magazines will cost $10.  That means there's still $27 left to spend on notepads.  If one notepad costs $3, then 27 / 3 = 9.  

Answer:

9

Step-by-step explanation:

5x2=10

10+3x=37

3x=37

x=9

btw  = notepads ur welcome!

Answer:

4

Step-by-step explanation:

(y+2)^2

Let y = -4

(-4+2)^2

Parentheses first

(-2)^2

Exponents

4

Answer:

-4

Step-by-step explanation:

y = -4

Substituting y in the equation,

(-4+2)2

(-2)2         [Negative x Positive = Negative]

=> -4

Answer:

2x+4+2y+10=4

2x+2y=4-10-4

2(x+y)=-10

x+y=-10/2

x+y=-5

x+2x+1=-5

3x=-6

x=-6/3

x=-2

Answer:

The answer is 8.8

Step-by-step explanation:

4/5 x 20/20 = 80/100

80/100 = .8

Step-by-step explanation:

[tex]8 + \frac{4}{5} = \frac{40 + 4}{5} \\ = \frac{44}{5} = 8.8 \\ thank \: you[/tex]

Answer:

Area of the square:

Area of the circle:

Probability of landing in the shaded region:

Answer:

78.5%

Step-by-step explanation:

We can find the area of both shapes then divide to find the probability.

Square area:

40 * 40 = 1600ft²

Circle area with diameter [ 1/4πd² ]:

1/4π(40)²

1/4π(1600)

0.785(1600)

1,256

Now divide both areas to find the probability.

1256/1600 = 0.785

0.785 * 100% = 78.5%

Best of Luck!

Answer:

see explanation

Step-by-step explanation:

Using the identity

tan x = [tex]\frac{sinx}{cosx}[/tex]

Consider the left side

[tex]\frac{1-tan^2x}{1+tan^2x}[/tex]

= [tex]\frac{1-\frac{sin^2x}{cos^2x} }{1+\frac{sin^2x}{cos^2x} }[/tex] ( multiply numerator and denominator by cos²x to clear fractions

= [tex]\frac{cos^2x-sin^2x}{cos^2x+sin^2x}[/tex] ← ( cos²x + sin²x = 1 ]

= cos²x - sin²x

= right side , thus proven

Answer:

6x81=2

Step-by-step explanation:

Answer:

504 ft^3

Step-by-step explanation:

Ok, so we have the equation for the cylinder as well as the rectangular prism. Basically we're just going to find the volume of each of them separately and then add them together.

Let's start with the cylinder:

V(cylinder) = pi*r^2*h

pi = 3

d = 4ft

r = d/2 = 4/2 = 2ft

h = 12ft

V(cylinder) = (3)*(2^2)*(12)

V(cylinder) = 3*4*12

V(cylinder) = 144 ft^3

Now the rectangular prism:

V(rectangular prism) = l*w*h

l = 10ft

w = 6ft

h = 6ft

V(rectangular prism) = 10*6*6

V(rectangular prism) = 360 ft^3

Now we can add them together:

V(total) = 360 + 144

V(total) = 504 ft^3

Answer:

(a) $3.00

(b)(i) $33.00

(b)(ii) $322.50

Step-by-step explanation:

(a)

100% = $20.00

1% = 100%/100 = 20/100 = $0.20

15% = 1%×15 = 0.2×15 = $3.00

so, he actually has to pay $20 + $3 = $23 per toaster.

or shorter and direct, since we calculate the extra 15% based on the original 100%, we can say he has to pay 115% of the basic price.

115% = 0.2×115 or = 100%×1.15 = 20×1.15

0.2 × 115 = $23

20 × 1.15 = $23

so, you can see the several ways to get to the result.

in any case, the profit is $26-$23 = $3 per toaster.

(b)(i)

100% new price = 100% old price + 20% = 120% old price

or 100% old price × 1.2

100% new price per toaster = 20×1.2 = $24.00

the new tax is increased TO 25% (not by 25%) be careful to see that detail.

so, we need to add 25% of the new price.

125% new price = 24×1.25 = $30.00

so, in order to make again $3 profit, the customer has to pay now $30+$3 = $33.00

(b)(ii)

100% (b)(i) selling price = $33.00

30% more means 130% of that, or 1.3×100%

33×1.3 = $42.90

so, the profit per toaster is now 42.90 - 30 = $12.90

when selling 25 of these toasters the profit is then

25×12.90 = $322.50

Answer:

x=11

Step-by-step explanation: