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malfutka [58]
3 years ago
13

A forest fire covers twice the amount of forest as it did 3 days ago. 3 days ago, this fire covered 300 square miles and it cont

inues to grow at the same rate. How many square miles will it cover 9 days from now? A. 9,600 sq miles B. 4,800 sq miles C. 3,200 sq miles D. 6,400 sq miles
Mathematics
2 answers:
yanalaym [24]3 years ago
7 0
D. 6400 sq miles in 9 days
yKpoI14uk [10]3 years ago
6 0

Answer:

The correct option is B) 4800 square miles.

Step-by-step explanation:

Consider the provided information.

It is given that the fire covered 300 square miles in 3 days ago. And it continues to grow at the same rate.

Therefore, today it covers the twice of area it covers on yesterday.

The area covers by fire 2×300=600 square miles

Now the area covers after 3 days from today will be:

2×2×300 = 2×600 = 1200 square miles

The area covers after 3×2=6 days from today is:

2×2×2×300 = 2400 square miles

The area covers after 3×3=9 days from today is:

2×2×2×2×300 = 4800 square miles

Hence, the correct option is B) 4800 square miles.

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If tan theta = 12/5 and cos theta < 0, what is sin theta ?
Talja [164]
1 + tan ² Ф=sec²Ф
1+(12/5)²=sec²Ф
169/25=sec² Ф
sec Ф=⁺₋√(169/25)=⁺₋13/5

sec Ф=1/cos Ф ⇒cosФ=1/sec Ф
 cos Ф>0   ⇔  sec Ф>0  ⇔  sec Ф=+ 13/5

cos Ф=1/secФ
cos Ф=1 / 13/5=5/13

we can calculate the sin Ф, with this method.
sin²Ф + cos²Ф=1  ⇒ sin Ф=⁺₋√(1-cos² Ф)
sin Ф=⁺₋√[1-(5/13)²]=⁺₋12/13
like cos Ф>0 and tan Ф>0   ⇒ sin Ф>0 ⇒sin Ф=12/13

answer: d.12/13

other method
tan Ф=sin Ф / cos Ф
12/5=sin Ф / 5/13
sin Ф=(12/5)*(5/13)=12/13

answer: d.12/13

8 0
3 years ago
J(2x+9) m(6x-1)<br> i don’t get this at all
kherson [118]

Answer:

omg that one is hard but it is 18j-6m

4 0
2 years ago
What is the solution of the inequality |2x+3|≤7?
Allushta [10]
Assuming you want to solve for x the result can vary. The result can be shown in multiple forms. Hope this helps!

Inequality Form:
−5≤x≤2
Interval Notation:
[−5,2]
6 0
3 years ago
Solve by using any method of substitution<br><br>4 +8x = y <br>6x - y = 2
Bumek [7]

Answer:

(-3,-20)

Step-by-step explanation:

4 +8x = y ...... equation (1)

6x - y = 2 ........equation(2)

from equation 2

6x - y = 2

6x -(4+8x) =2

6x - 4 + 8x = 2

    +4              +4

6x - 8x = 6

-2x=6

divide by -2

x= -3

put x in equation (1) to solve for y

4 + 8x = y

4+8(-3)=y

4-24=y

-20=y

y= -20

solution = (-3,-20)

8 0
2 years ago
Can yall please help?
butalik [34]

Answer:

3000000000

Step-by-step explanation:

Dividing 9*10^7 by 3, we have 3*10^7

Same with 3*10^-2 so we have

(3*10^7)/(1/100) which is equal to 3*10^7*100 which is equal to 3000000000

Please give me Brainliest if im correct

3 0
2 years ago
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