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scoray [572]
3 years ago
11

Catie is trying to determine the height that a ladder reaches as it leans against a wall. She walks under the ladder and touches

her forehead to it as shown. If her feet are 16 inches from the ladder's base, the ladder's base is 4.5 feet from the bottom of the wall, and Catie is 5 feet 6 inches tall, then come up with an estimate for how high the ladder reaches up the wall to the nearest tenth of a foot. Watch your units on this problem and show all work
Mathematics
1 answer:
brilliants [131]3 years ago
4 0
18.56 feet
Catie creates a similar triangle with the ladder so we can create a proportion to solve for the height.  
\frac{baseto feet}{base to wall} = \frac{catie height}{wall height}
Convert all values to feet . 16in = 1.33 ft . 5ft 6 in = 5.5 ft 
Insert values into proportions
\frac{1.33}{4.5} = \frac{5.5}{x}
Cross multiply to get
24.75=1.33x
divide both sides by 1.33
x=18.56ft
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Is 102 divisible by 4 5 6 9 or 10 PLEASE HELP I AM FAILING AND ABOUT TO CRY!!!!
My name is Ann [436]
It can't be divided by 5 or 10 since when you count by 10's the numbers end in only zeros and when you count by 5 it is either 5 or 0  (5, 10, 15, 20 and so on).

9 will only work if the digits in the answer add up to 9.  18: 1+8=9
99: 9+9=18 and 1+8=9  So it can't be divided by 9  102: 1+0+2=3 (not 9)

That leaves 6 and six works - here's why.
There is a rule for 3's that says that the sum of the digit must add up to 3, 6 or 9.
Look:
3x1 = 3
3 x 2 = 6
3 x 3 = 9
3 x 4 = 12 and 1+2=3
3 x 5 = 15 and 1+ 5 = 6
3 x 6 = 18 and 1+ 8 = 9  
3 x 7 = 21  and 2 +1 = 3  and so on -  do you see the 3,6,9 pattern repeating.

Six follows the same rule except the number must be even.  Look above to see that 6 works with 6, 12 and 18 but not the others.  
So 102 is divisible by 3  (1+0+2 = 3)  AND it is an even number - therefore it is divisible by 6.  Here's proof: 6 x 15 = 90 and 102 is 12 more than 90 and six goes into that 12)

I hope that this will help you feel better. I don't want you to cry. :-)

3 0
4 years ago
(08.07 LC)
Simora [160]

Answer:

3, -8 , 11.

Step-by-step explanation:

f(x) = (x - 3)(x + 8)(x - 11)

Finding the zeros:

(x - 3)(x + 8)(x - 11) = 0

x - 3 = 0   gives x = 3.

x + 8 = 0   gives x = -8.

x - 11 = 0 gives x = 11.

7 0
3 years ago
In order to join a dancing club there is a $30 startup fee and a $4 monthly fee. write an equation in slope-intercept form that
kvv77 [185]
Y=M(x)+B
Y=4+30
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6 0
3 years ago
How to factor 15m^2-12m^3
tester [92]
Step 1. Find the Greatest Common Factor (GCF)
GCF = 3m^2
Step 2. Factor out the GCF <span>(Write the GCF first. Then, in parentheses, divide each term by the GCF.)
3m^2(15m^2/3m^2 + -12m^3/3m^2)
Step 3. Simplify each term in parentheses 
3m^2(5 - 4m)</span>
8 0
4 years ago
Read 2 more answers
How do you get the answers to 4,5, and 6?
ratelena [41]

m∠7:180-110=70

m∠8:180-70=110

m∠3=m∠9=m∠11=137

5 0
3 years ago
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