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Solnce55 [7]
4 years ago
8

How high is a tree that casts a 28​-ft shadow at the same time that a 6​-ft fence post casts a 8​-ft ​shadow?

Mathematics
1 answer:
Vikentia [17]4 years ago
6 0

Answer: 21 feet.


Step-by-step explanation:

1. You know that the tree casts a 28​ feet shadow and that a 6​ feet fence post casts a 8​ feet ​shadow, then, you can write the following proportion to solve this problem:

\frac{x}{28}=\frac{6}{8}

2. When you solve for the height ot tree (x), you obtain the following result:

x=\frac{28*6}{8}\\x=21

3. Therefore, the height of the tree is 21 feet.


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Solve the equation for all real solutions in simplest form.<br> -4m^2+2m-11=-5m^2
lina2011 [118]

Answer:

m is equal to -1 ± 2√3, which is approximately equal to 2.46 and -4.46

Step-by-step explanation:

-4m² + 2m - 11 = -5m²

m² + 2m - 11 = 0

m² + 2m + 1 = 12

(m + 1)² = 12

m + 1 = ± √12

m = -1 ± 2√3

4 0
3 years ago
Five people were asked approximately how many hours of TV they watched per week. Their responses were as follows. 6 4 6 7 8 1
vekshin1

Answer:

-0.2,-2.2,-0.2, 0.8, 1.8

Step-by-step explanation:

Given :Five people were asked approximately how many hours of TV they watched per week.

Their responses were as follows. 6 4 6 7 8

To Find : Find the deviations from the mean for these five data values

Solution :

Mean = \frac{\text{Sum of all observations}}{\text{Total no. of observations}}

Mean = \frac{6+4+6+7+8}{5}

Mean = 6.2

The deviations from the mean for these five data values: 6-6.2,4-6.2,6-6.2,7-6.2,8-6.2=-0.2,-2.2,-0.2, 0.8, 1.8

Hence the deviations from the mean for these five data values is -0.2,-2.2,-0.2, 0.8, 1.8

8 0
3 years ago
The difference of two times a number and five is eight more than the number
Finger [1]
Add it then x it by 3
4 0
4 years ago
Can I get some help I think I did this wrong and I guessed :/
xz_007 [3.2K]
You'll want to first simplify the expression (2t-8)- \frac{1}{2} (9-4t)+ \frac{5}{2}}.

To do that, first distribute the - \frac{1}{2}:

(2t-8)- \frac{1}{2} (9-4t)+ \frac{5}{2}}
2t-8- \frac{9}{2} +2x+ \frac{5}{2}

From there, you may just combine like terms:

2t-8- \frac{9}{2} +2t+ \frac{5}{2}
4t-8- \frac{9}{2} + \frac{5}{2}
4t-8- \frac{4}{2}
4t-8-2
4t-10

Answer:
D. 4t - 10
8 0
3 years ago
Read 2 more answers
Im doing decimals greatest to least and i need help with number 12 and 13
erma4kov [3.2K]

(I know there isnt any real problem here to solve, but heres a tip on how to solve greatest to least with decimal problems)

1. Just because a number looks big, doesn't mean it is big

Example: 1.00000000000001 < 1.1

just look at the numbers ^ and dont just hastily read it over assuming that 1.1 is smaller because it "has less digits"

2. Negative numbers are... opposite. and they are less than positive numbers

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Why is this? Well, if you look on a line, with the point 0 in the middle, you can see that -3.4 is not as far away from 0 as -4.1 is. So the idea is to apply opposite logic for negative numbers

I hope these tips helped!! :D

3 0
3 years ago
Read 2 more answers
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