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Bess [88]
3 years ago
14

Use compatible numbers to solve 474/9

Mathematics
2 answers:
storchak [24]3 years ago
8 0
The answer to your question is 158/3
Nitella [24]3 years ago
4 0
450 divided by 9 will be 50
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Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).
sesenic [268]
The perpendicular line is x=-4
3 0
3 years ago
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Given the triangle below, what is the length of the third side, rounded to the nearest whole number?
Leno4ka [110]

Answer:

Step-by-step explanation:

You need the Law of Cosines for this, namely:

x^2=21^2+14^2-2(21)(14)cos58 where x is the missing side.

x^2=441+196-311.5925 and

x^2=325.4075 so

x = 18.0 or just 18

7 0
3 years ago
Andrew fish tank holds 144 gallons of water. To clean the tank, he drains the water at a rate the water at a rate of 6 gallons p
Kobotan [32]

Answer:

8 minutes

Step-by-step explanation:

Since the level of the tank needs to be at two-thirds its original level, then this means that Andrew needs to drain only one-third of the fish tank. Therefore the amount of time it would take can easily be solved with this 2-step equation...

6t = 144 * \frac{1}{3} .... first multiply the right side of the equation

6t = 48   ... next divide both sides by 6

t = 8

Finally, we can see that it will take Andrew 8 minutes to drain the tank to two-thirds of its original level.

4 0
3 years ago
Rex, Paulo, and Ben are standing on shore watching for dolphins. Paulo sees one surface directly in front of him about a hundred
Ksivusya [100]

1. m\angle BAC=m\angle CAD,\ m\angle ACB=m\angle ADC=90^{\circ}, then m\angle ABC=m\angle ACD and triangles ADC and ACB are similar by AAA theorem.


2. The ratio of the corresponding sides of similar triangles is constant, so


\dfrac{AC}{AB}= \dfrac{AD}{AC}.


3. Knowing lengths you could state that \dfrac{b}{c}= \dfrac{e}{b}.


4. This ratio is equivalent to b^2=ce.


5. m\angle ABC=m\angle CBD,\ m\angle ACB=m\angle CDB=90^{\circ}, then m\angle BAC=m\angle BCD and triangles BDC and BCA are similar by AAA theorem.


6. The ratio of the corresponding sides of similar triangles is constant, so


\dfrac{BC}{BD}= \dfrac{AB}{BC}.


7. Knowing lengths you could state that \dfrac{a}{d}= \dfrac{c}{a}.


8. This ratio is equivalent to a^2=cd.


9. Now add results of parts 4 and 8:


b^2+a^2=ce+cd.


10. c is common factor, then:


b^2+a^2=c(e+d).


11. Since e+d=c you have a^2+b^2=c\cdot c=c^2.



7 0
3 years ago
Read 2 more answers
A construction crew built miles of road in days. What is the unit rate in miles per day? Write your answer as a fraction or a mi
vovikov84 [41]

Complete question :

A construction crew built 1/2 miles of road in 1/8 days. What is the unit rate in miles per day? Write your answer in simplest form.

Answer:

3 miles per day

Step-by-step explanation:

Given that:

1/2 miles of road takes 1/8 days

Unit Rate in miles per day :

Miles of road built / number of days taken

1/2 miles ÷ 1/8 days

1/2 * 8/1

= (1*8) / (2*1)

= 8/2

= 4

Unit Rate = 4 miles per day

4 0
2 years ago
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