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choli [55]
4 years ago
6

Use similar triangles to solve. a person who is 5 feet tall is standing 99 feet from the base of a​ tree, and the tree casts a 1

10 foot shadow. the​ person's shadow is 11 feet in length. what is the height of the​ tree?
Mathematics
1 answer:
kondaur [170]4 years ago
5 0
This problem is about ratios.

\frac{height}{shadow} = \frac{5ft \:}{11ft} = \frac{x}{110}

Solve for X

x = \frac{5 \times 110}{11} = 50ft

The tree is 50ft tall.
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Write an expression to represent ( 2 times the difference of t and 11 )
Ierofanga [76]
2(t-11) would be the answer i think
8 0
3 years ago
PLEASE HELP ME <br> A. 6,000 cm3 <br> B. 3,000 cm3 <br> C. 4,000 cm3 <br> D. 900 cm3
stiv31 [10]

Answer:

A 6000

Step-by-step explanation:

15x20 = 300

300 x 10

since theres two rectangles with the same side lengths

3000 x 2

6000

7 0
2 years ago
Read 2 more answers
The half-life of carbon 14 is years. How much would be left of an original -gram sample after 2,292 years? (To the nearest whole
lozanna [386]

Answer:

A = 0.75 gram or 1 gram

Step-by-step explanation:

The half-life of carbon 14 is years. How much would be left of an original -gram sample after 2,292 years? (To the nearest whole number).

We can use the following formula for half-life of ^{14}C to find out how much is left from the original sample after 2,292 years:  

A = A_{0}e^{-0.000124t}

where:

<em>A</em> is the amount left of an original gram sample after <em>t</em> years, and  

A_{0} is the amount present at time <em>t</em> = 0.

The half-life of  ^{14}C  is the time <em>t</em> at which the amount present is one-half the amount at time <em>t </em>= 0.

If 1 gram of  ^{14}C is present in a sample,  

 Solve for A when t = 2,292:  

Substituting A_{0}  = 1 gram into the decay equation, and we have:  

A = A_{0}e^{-0.000124t}

A = A_{0}e^{-0.000124(2,292)}

A = 0.75 g or 1 g  

6 0
3 years ago
Find the measure of the angle and please explain step by step
MrRa [10]

angle 4 is the same as angle 8

 angle 7 & angle 8 has to equal 180 degree

 so angle 7 and angle 4 also have to equal 180

angle 4 is 3 times the size of 7

lets call 7  (x)

so 4(x) = 180

180/4  =45

x=45

angle 7 is 45 degrees

3 0
3 years ago
Of the 100 students in the science club, 65 take mathematics, 43 take physics and 10 students take both mathematics and physics.
jonny [76]

Answer:

12

Step-by-step explanation:

Take only math=65-10=55

take only physics=43-10=33

number of students taking neither math. nor physics=100-(55+33)=100-88=12

4 0
3 years ago
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