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Gre4nikov [31]
2 years ago
12

A pole casts a 6-foot shadow. If the distance from the top of the pole to the tip of the shadow is

Mathematics
1 answer:
KATRIN_1 [288]2 years ago
3 0

Answer:

8feet high

Step-by-step explanation:

To get the height of the pole, we will use the pythagoras theorem. Let H be the height

H²  = 10² -6²

H² = 100 - 36

H² = 64

H = √64

H = 8feet

Hence the pole is 8feet high

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What is the value of x in the solution to this system of equations?
liberstina [14]

Answer:

x = 11

Step-by-step explanation:

Given the expression;

5x+2y=67 ...1

x=3y−7 ....2

Substitute 2 into 1

5(3y-7)+2y = 67

15y - 35 + 2y = 67

17y = 67+35

17y = 102

y = 102/17

y =6

Recall that x = 3y - 7

x = 3(6) - 7

x = 18 - 7

x = 11

Hence the value of x is 11

6 0
3 years ago
Someone solve this please.
laila [671]
The answer is one hundred
7 0
3 years ago
A cylinder’s radius is reduced to 2004-06-01-04-00_files/i0480001.jpg its original size and the height is quadrupled. How has th
asambeis [7]
I can't answer this question if we don't know by what scale the cylinder's radius was reduced. Luckily, I found the same problem that says the radius was reduced to 2/5. So, we find the ratio of both volumes.

V₁ = πr₁²h₁
V₂ = πr₂²h₂

where r₂ = 2/5*r₁ and h₂ = 4h₁

V₂/V₁ = π(2/5*r₁ )²(4h₁)/πr₁²h₁= 8/5 or 1.6

<em>Thus, the volume has increased more by 60%.</em>
6 0
3 years ago
What is the 185th digit in the following pattern 12345678910111213141516...?
Natalka [10]
1-9  = 9 digits
10-99 = 180 digits
So if we continue the pattern to 99, there are 189 digits, and the last 5 digits would be 79899.  Counting backwards: 189th = 9, 188th = 9, 187th = 8, 186th = 9, 185th = 7.

The 185th digit is 7.

4 0
3 years ago
The Millers receive a dinner bill for $122.75. The sales tax rate is 8%. They want to leave an 18% tip on the total bill after t
Aleks04 [339]

Answer:

they will start with $122.75 dollars to be paid and add on 8% of $122.75 which is $9.82.

the next step would be to add together 122.75+9.82 and you get $132.57

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add 132.57+23.86=$156.43

$156.43 is your answer

7 0
3 years ago
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