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o-na [289]
3 years ago
13

In sunlight, a vertical stick has a height of 4 ft and casts a shadow 2 ft long at the same time that a nearby tree casts a shad

ow 18 ft long. How tall is the tree?
9 ft

4 ft

0.4 ft

36 ft
Mathematics
1 answer:
marshall27 [118]3 years ago
6 0
Remark
Make up a proportion that relates the tree and its properties to the stick and its properties.

Givens
Stick height (s_h) = 4
Stick shadow(s_s) = 2
Tree shadow = t_s = 18
Tree height = x

Formula
s_h / s_s = x / t_s

Substitute and solve.
4/2 = x / 18  Cross multiply
4*18 = 2 * x
72 = 2x        Divide by 2
72/2 = x       
x = 36

The height of the tree is 36 feet.     
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A coffee supply store waits until the orders for its special blend reach 100 pounds before making up a batch. Columbian coffee s
yan [13]
X - Columbian coffee ( in pounds),
y - Brazilian coffee ( in pounds );
x + y = 100
8.85 x + 3.85 y = 6.55 ( x + y )
----------------------------------------
x = 100 - y
8.85 ( 100 - y ) + 3.85 y = 6.55 * 100
855 - 8.55 y + 3.85 y = 655
- 5 y = - 230
y = ( - 230 ) : ( - 5 )
y = 46
x = 100 - 46
x = 54
Answer: 54 pounds of Columbian coffee and 46 pounds of Brazilian coffee should be used.
5 0
2 years ago
How to change improper fraction to a mixed number​
Aleonysh [2.5K]

Answer:  

Step-by-step explanation :Answer

To chance an improper fraction into a mixed number first divide the numerator by the denominator

Example 11/5 divide 11 by 5 and you get 2.2 that means that 5 goes into 11 twice with some leftover which means the answer is going to be 2 plus a fraction

To get the fraction you multiply the denominator by the whole number you found (5*2) and subtract the numerator by that new number

5*2=10 11-10=1

Your new fraction is now 2 1/5

8 0
2 years ago
Read 2 more answers
A toy manufacturer wants to know how many new toys children buy each year. A sample of 305 children was taken to study their pur
Harrizon [31]

Answer:

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.8}{2} = 0.1

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.1 = 0.9, so Z = 1.28.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.28\frac{1.5}{\sqrt{305}} = 0.1

The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5

The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

8 0
3 years ago
Trevor is painting the front door of his house. The dimensions of the door are 812 feet by 212 feet by 3 inches. If he paints al
Sophie [7]

Answer:

Below!

Step-by-step explanation:

Step 1:

Convert!

812 x 12 = 9744

212 x 12 = 2544

Step 2:

Multiply the new dimensions!

9744 x 2544 x 3

Step 3:

The answer would be:

74366208 in.

BUT!

We're not done yet!

Step 4:

Duplicate it!

REAL ANSWER:

148732416  in. or 12394368 feet!

3 0
2 years ago
Read 2 more answers
HELP ASAP ASAP PLEASE
boyakko [2]

Answer:

Many solutions

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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