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Oksanka [162]
2 years ago
14

The perimeter of a rectangle is equal to 10. If the length is halved and the width is doubled, the new perimeter is increased by

4. What
is the length of the original rectangle?
4 1 2 3
Mathematics
1 answer:
monitta2 years ago
6 0

Step-by-step explanation:

Let's call x the lenght and y the height. The perimeter will be:

p = 2x + 2y = 10

When the lenght is halved and the height double we'll have:

p = x + 4y = 14

These 2 equations form a system of equations2 that can be solved and give as result:

y = 3

x = 2

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What comes next in the sequence? 10, 30, 90, __, __, __
Amiraneli [1.4K]
<h2>Hello!</h2><h2>\boxed{\boxed{\bf THEME:\:NUMBER\:\:SEQUENCES}}</h2>

Answer:

It is 270, 810 and 2430

Step-by-step explanation:

10 x 3 = 30

30 x 3 = 90

90 x 3 = 270

270 x 3 = 810

810 x 3 = 2430

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7 0
3 years ago
A bullet is fired straight up from a gun with initial velocity 1120 feet per second at an initial height of 8 feet. Use the form
Dafna1 [17]

Answer:

70 seconds

Step-by-step explanation:

Given that;

The initial velocity v_o of the bullet fired = 1120 ft/s

Initial height h = 8 feet

The expression to determine how many seconds it takes the bullet to hit the ground is:

h = -16t^2 +v_ot + 8

Thus;

Replacing the value of v_o =  1120 and h = 0 (i.e. when h =0) in the above expression; we have:

0= -16t^2 +(1120)t + 8

=  -16t^2 +(1120)t + (8-0)

= -16t² + 1120t + 8

mulitiply through by (-)

= 16t² -1120t - 8

Divide through by 8

= 2t² -  140t - 1

The above expression forms a quadratic equation.

where;

a = 2

b = -140

c = - 1

So, by using the quadratic formula \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}, we have:

= \dfrac{-(-140) \pm \sqrt{(-140)^2-4(2)(-1)}}{2(2)}

= \dfrac{140 \pm \sqrt{19600-(-8)}}{4}

= \dfrac{140 \pm \sqrt{19608}}{4}

= \dfrac{140 \pm 140}{4}

=\dfrac{140+ 140}{4} \ \ \ OR \ \ \  \dfrac{140-140}{4}

=\dfrac{280}{4} \ \ \ OR \ \ \  0

= 70

Thus, the time (in seconds) it took the bullet to it the ground = 70 seconds

6 0
2 years ago
What is the probability of rolling a 1 with a number cube that has the numbers 1, 2, 3, 4, 5, and 6 and tossing heads with a coi
Helga [31]
Probablity is (desired outcomes)/(total) possible outcomes so the dice 1 is desired and the total poassible outcomes is 6 since 6 numbers so probailty of rolling a 1 is 1/6 then flippin heads desired outcome=1 total possible=2 probabilty is 1/2 so we have 1/6 and 1/2 now we mulitply them 1/6 times 1/2=1/12 the answer is A
7 0
3 years ago
Read 2 more answers
B(n)=1 (-2)^n-1<br> What is the 4th term in the sequence
zzz [600]

Answer:

The fourth term of the sequence B(4) =-8

The sequence is 1,-2,4,-8...

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that the sequence

     B(n) = 1(-2)ⁿ⁻¹

Put n=1

    B(1) = 1(-2)¹⁻¹ = 2⁰ =1

Put n=2

   B(2) = 1(-2)²⁻¹ = (-2)¹ =-2

Put n=3

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Put n=4

B(4) = 1(-2)⁴⁻¹ =(-2)³ =-8

The sequence

1,-2,4,-8...

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3 years ago
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Alex17521 [72]

Answer: Not possible

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3 0
3 years ago
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