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FrozenT [24]
3 years ago
12

Tom wants to reach a second floor window on a house that is 20 feet above ground. If he must put the ladder at a 70 degree angle

to the ground, how long must the ladder be? Sue wants to determine the height of a tree indirectly. It's shadow is 15 feet when she is at 48 degrees angle of elevation with the sun that is behind the tree

Mathematics
1 answer:
Hatshy [7]3 years ago
5 0
<u>Question 1</u> 
see attachment 1
Answer: 21.3 ft

Question 2
see attachment 2
Answer: 16.7 ft

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A washer and a dryer cost $959 combined. The washer costs $59 more than the dryer. What is the cost of the dryer?
dem82 [27]

Answer:

A dryer costs $450.

A washer costs $509.

Step-by-step explanation:

Let:

"washer" = x

"dryer" = y

Set the equations:

x + y = 959

x = y + 59

First, plug in y + 59 for x in the first equation for x:

x + y = 959

(y + 59) + y = 959

Simplify, combine like terms:

y + y + 59 = 959

2y + 59 = 959

Next, isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis, Exponents (& Roots), Multiplications, Divisions, Additions, Subtractions.

First, subtract 59 from both sides of the equation:

2y + 59 (-59) = 959 (-59)

2y = 959 - 59

2y = 900

Next, divide 2 from both sides of the equation:

(2y)/2 = (900)/2

y = 900/2

y = 450

Next, plug in 450 for y in one of the equations:

x = y + 59

x = (450) + 59

x = 509

Check:

x + y = 959

450 + 509 = 959

959 = 959 (True).

~

5 0
3 years ago
Read 2 more answers
a musician's first album sells 234,499 copies the first week it was released. during the second week, another 432,112 albums wer
iren [92.7K]
432112-234499

insta : imrajsingh

5 0
3 years ago
20+8y-9y-21 which expression is equivalent
faust18 [17]
Since you didn't provide expression to see which one is equivalent,, I will simply solve the expression you provided. If you need help finding out which expression option is equivalent after I solve this for you,, let me know and I would be more than happy to help you figure it out.
The first step for solving this expression is to calculate the difference between 20 and 21. We can start solving this by keeping the sign of the number with the larger absolute value and subtract the smaller absolute value from it. This will look like the following:
-(21 - 20)
Now subtract the numbers and add it back into the expression.
-1 + 8y - 9y
Next we need to collect the like terms with a y variable by subtracting their coefficients.
(8 - 9)y
Calculate the difference in the parenthesis.
-1y
Remember that when the term has a coefficient of -1,, the number doesn't have to be written but the sign must remain. 
-y
Lastly,, add this back into the expression to get your final answer.
-1 - y
Let me know if you have any further questions.
:)
4 0
3 years ago
Which graph represents 9x2 – 16y2 – 54x + 64y – 127 = 0?
klasskru [66]

Answer:

Right now I'm wondering what kind of class you are taking to get such a weird graph, but I graphed it for you on the screenie.

Step-by-step explanation:

You should though recheck your question for exponents, as 9x2 could be interpreted differently.

Since exponents to not transition well here, I can assume that it was a 9x^2, so please add an exponent symbol ^ between the variables and exponents next time.

3 0
3 years ago
9. The figure shows a rectangle with its length and
lora16 [44]

Answer:

875cm^2

Step-by-step explanation:

since opposite sides are equal

3x-y=2x+y

x=2y                                                      

y=x/2                                                                      ....(i)

thus new length=2x+y

=2x+(x/2)                                                              [using (i)]

=(4x+x)/2

l=5x/2                                                                   .....(ii)

now,

perimeter=2(l+b)=120cm

l+b=60cm            

from figure and using (ii)

[5x/2]+2x-3=60

[5x+4x-6]/2=60

9x-6=120

9x=126

x=126/9

x=14                                                                 ..........(iii)

substitute (iii) in (i)

y=14/2

y=7                                                                  ...........(iv)

From figure,

length=2x+y                                                   [using (iii) and (iv)]

=2x14+7

length=35cm

breadth=2x-3

=2x14-3                                                          ....[using(iii)]

=28-3

breadth=25cm

now,

Area=lxb

=35x25

=875cm^2

7 0
3 years ago
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