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2 years ago

How to find the area of a rectangle that is 2 4/5 feet by 3 1/4 feet

Mathematics

1 answer:

Harman [31]2 years ago

8 0

Answer:

by simply multiplying these 2 dimensions.

9.1 ft²

Step-by-step explanation:

2 4/5 × 3 1/4 = (14/5) × (13/4) = (14×13) / (5×4) =

= (7×13) / (5×2) = 91/10 = 9.1 ft²

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Emily studies 40 minutes after lunch for a science exam. She studies z more minutes that evening.

vladimir2022 [97]

Answer:

y = 40 + z

Step-by-step explanation:

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2 years ago

Evaluate the expression: x +y + z (if x =33, y = -28, and z =40)

Mrac [35]

Answer is 45 (33-28+40=45)

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2 years ago

NEED HELP ASAP!! Solve for m

kirill115 [55]

Angle B = 56.309932474020215

This is through using a trigonometry calculator I forgot how to set it up tbh.

Hope this helps ;)

For extra info Angle C = 33.690067525979785.

They add up to 90 which added with the right angle of 90 means the interior angles add to 180 meaning it is in fact correct because a triangle is always 180 inside.

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3 years ago

The 5th term in a geometric sequence is 40. The 7th term is 10. What is (are) the possible value(s) of the 4th term?

Lena [83]

Answer:

possible values of 4th term is 80 & - 80

Step-by-step explanation:

The general term of a geometric series is given by

$a(n)=ar^{n-1}$

Where a(n) is the nth term, r is the common ratio (a term divided by the term before it) and n is the number of term

Given, 5th term is 40, we can write:

$ar^{5-1}=40\\ar^4=40$

Given, 7th term is 10, we can write:

$ar^{7-1}=10\\ar^6=10$

We can solve for a in the first equation as:

$ar^4=40\\a=\frac{40}{r^4}$

Now we can plug this into a of the 2nd equation:

$ar^6=10\\(\frac{40}{r^4})r^6=10\\40r^2=10\\r^2=\frac{10}{40}\\r^2=\frac{1}{4}\\r=+-\sqrt{\frac{1}{4}} \\r=\frac{1}{2},-\frac{1}{2}$

Let's solve for a:

$a=\frac{40}{r^4}\\a=\frac{40}{(\frac{1}{2})^4}\\a=640$

Now, using the general formula of a term, we know that 4th term is:

4th term = ar^3

Plugging in a = 640 and r = 1/2 and -1/2 respectively, we get 2 possible values of 4th term as:

$ar^3\\1.(640)(\frac{1}{2})^3=80\\2.(640)(-\frac{1}{2})^3=-80$

possible values of 4th term is 80 & - 80

3 0

3 years ago

(50 points)

kondor19780726 [428]

The answer is f(x) will eventually exceed g(x) because f(x) is an exponential function.

6 0

3 years ago