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WINSTONCH [101]
2 years ago
9

A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the bui

lding. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot.
A: 4.1 feet
B:17.0 feet
C: 20.6 feet
D: 21.4 feet
Mathematics
2 answers:
Dennis_Churaev [7]2 years ago
8 0

your answer would be C: 20.6

mihalych1998 [28]2 years ago
5 0

Answer:

Step-by-step explanation:

4.1

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Jake made a total of 7 copies at a copy shop, with some being black-and-white copies and some being color copies. Black-and-whit
Arada [10]
Jake spent a total of 70 cents.
b = black-and-white = 8 cents
c = color = 15 cents

70 = 8b + 15c

he made a total of 7 copies
b + c = 7

system of equation:
70 = 8b + 15c
b + c = 7

--------------------------

b + c = 7
b + c (-c) = 7 (-c)
b = 7 - c

plug in 7 - c for b

70 = 8(7 - c) + 15c
Distribute the 8 to both 7 and - c (distributive property)

70 = 56 - 8c + 15c
Simplify like terms

70 = 56 - 8c + 15c
70 = 56 + 7c

Isolate the c, do the opposite of PEMDAS: Subtract 56 from both sides

70 (-56) = 56 (-56) + 7c
14 = 7c

divide 7 from both sides to isolate the c

14 = 7c
14/7 = 7c/7
 c = 14/7
 c = 2

c = 2
---------------

Now that you know what c equals (c = 2), plug in 2 for c in one of the equations.
b + c = 7
c = 2
<em>b + (2) = 7
</em><em />Find b by isolating it. subtract 2 from both sides
b + 2 = 7
b + 2 (-2) = 7 (-2)
b = 7 - 2
b = 5

Jake made 5 black-and-white copies, and 2 color copies

hope this helps
8 0
2 years ago
Read 2 more answers
Volume of a cylinder pi 3.14 d=2r h=6cm d=12cm
alex41 [277]

Answer:

V = 678.24cubic cm

Step-by-step explanation:

Volume of a cylinder

V = πr^2h

V - volume of a cylinder

π - pie

r - radius of a cylinder

h - height of a cylinder

Given:

π - 3.14

h - 6

d = 12

d = 2r

Divide both sides by 2

d/2 = 2r/2

d/2 = r

r = d/2

r = 12/2

r = 6

Insert the values into the formula

V = πr^2h

V = 3.14 * 6^2 * 6

= 3.14 * 36 * 6

= 678.24cubic cm

5 0
2 years ago
A group of vendors in a city determines that the equation yˆ=11.984x+15.341 models the total number of shorts they will sell eac
Virty [35]
Given the equation of a line of the form: y = mx + c, where m is the slope and c is the y-intercept.
y is the dependent variable while x is the independent variable.

The value c represents the initial value of the situation represented by the line. i.e. the value of the dependent variable (y) when the independent variable (x) is 0.

The value m is the slope and represents the amount with hich the dependent variable increases for each additional increase in the value of the independent variable.

Thus, given the equation: <span>y=11.984x+15.341,
where: y represents the total number of shorts sold each day, and x represents the day’s high temperature in °F.

The slope is 11.984 or approximately 12 and it represents the increase in the number of shorts sold for each additional increase in temperature.

Therefore, </span><span>the slope of the equation represents in context of the situation that '</span><span>The vendors will sell an additional 12 pairs of shorts for every 1° increase in temperature.' (option B)</span>
3 0
2 years ago
Read 2 more answers
Express 25.6 nanometres in metres, giving your answer in standard form.​
zhannawk [14.2K]

Answer:

10 to power of -8 so 0.00000001 I think

8 0
2 years ago
All of the following are equivalent except _____. A:5 over 4. B:1.25. C:12.5%. D:125%.
earnstyle [38]
Hello, there!

5/4 = 1.25

So, we know that the answer is not A or B.


1.25 = 125% 

Now, we know that the answer is not D ether.

So, the answer must be C.


I hope I helped!

Let me know if you need anything else!

~ Zoe


3 0
2 years ago
Read 2 more answers
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