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Zigmanuir [339]

4 years ago

13

the area of a rectangular living room is 300 square feet. the length of the room is 10 feet less than twice the width

1 answer:

JulsSmile [24]4 years ago

6 0

Answer:

The length is 20, and the width is 15.

Step-by-step explanation:

You have to write an expression to represent this situation. w can be the width, and the length can be 2w-10. To fnd the area, you multiply these together. w(2w-10) is 2w^2 -10w. From there, 15 is the only value of w that satisfies the equation, so w=15. Substitute 15 into your expression for lngth, and 2(15)-10 is 30-10 is 20, so the length is 20.

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The force (F) needed to cause the acceleration (a) of an object of mass, m, is given by the equation, F=ma where m is the object

KATRIN_1 [288]

From Newton’s Second Law of Motion, the force needed to accelerate a moving object of mass m at acceleration a is given by ;

F = ma

In this case, m = 5kg, a = 6m/s^2 and we want to find F

F = 5 x 6

F = 30N

Therefore, a force of 30N is needed to accelerate a 5kg object at 6m/s^2.

8 0

3 years ago

kolezko [41]

Answer:

The correct answer is 2

Step-by-step explanation:

4 0

3 years ago

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Tell whether the sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive

navik [9.2K]

Answer:

The explicit formula

$a_n = 3 +0.25 (n-1)$

The recursive formula

$a_1 = 3$ for $n=1$

$a_n = a_ {(n-1)} +0.25$ if $n>1$

Step-by-step explanation:

If a sequence is arithmetical then the difference between any of its consecutive terms will be constant

3, 3.25, 3.5, 3.75,

$3.25-3 = 0.25\\\\3.5-3.25 = 0.25\\\\3.75 -3.5 = 0.25$

The difference between the consecutive terms remains constant so the sequence is arithmetic.

The explicit formula for an arithmetic sequence is:

$a_n = a_1 + d (n-1)$

Where d is the constant difference between the terms.

$d = 0.25$

$a_1$ is the first term of the sequence.

$a_1 = 3$

So

$a_n = 3 +0.25 (n-1)$

Finally, the recursive formula is:

$a_1 = 3\\\\a_n = a_ {(n-1)} +0.25$

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3 years ago

Given cos B = 11/18 find angle B in degrees. Round your answer to the nearest hundredth.

Anastaziya [24]

$B = cos^{-1}(\frac{11}{18}) \approx 52.33^\circ$

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3 years ago

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F(x)=9x^2+7x-13 describe the behavior

levacccp [35]

Answer:

hob

Step-by-step explanation:

jbibou

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3 years ago