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OlgaM077 [116]
3 years ago
8

A rectangle has a height of 4w^3 and a width of 5w^2-3w-4.

Mathematics
2 answers:
shutvik [7]3 years ago
8 0

Answer:

20w^5 - 12w^4 - 16w^3

Step-by-step explanation:

Area of rectangle= length× breadth(or height in this case) of the rectangle

Basically, you multiply both sides of the rectangle

So, area of rectangle= 4w^3(5w^2 -3w -4)

Expand.

Area of rectangle= 4w^3(5w^2) - 4w^3(3w) - 4w^3(4)

Then you open the brackets which will give you the answer 20w^5- 12w^4- 16w^3

Note that the numbers are all multiplied and for the powers of w, the powers are added when multiplied.

For example, y(y^2)= y^3

Thepotemich [5.8K]3 years ago
6 0

Answer:

Step-by-step explanation:

Area of the entire rectangle = height * width

= 4w³ *( 5w²-3w-4)

= 4w³ * 5w²- 4w³ *3w - 4w³ *4

=20w⁵ - 12w⁴ - 16w³

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Answer:

(15,595, 16,805)

Step-by-step explanation:

We have to:

m = 16.2, sd = 3.75, n = 150

m is the mean, sd is the standard deviation and n is the sample size.

the degree of freedom would be:

n - 1 = 150 - 1 = 149

df = 149

at 95% confidence level the t is:

alpha = 1 - 95% = 1 - 0.95 = 0.05

alpha / 2 = 0.05 / 2 = 0.025

now well for t alpha / 2 (0.025) and df (149) = t = 1,976

the margin of error = E = t * sd / (n ^ (1/2))

replacing:

E = 1,976 * 3.75 / (150 ^ (1/2))

E = 0.605

The 95% confidence interval estimate of the popilation mean is:

m - E <u <m + E

16.2 - 0.605 <u <16.2 + 0.605

15,595 <u <16,805

(15,595, 16,805)

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3 years ago
(-4, 8) and (6, 2). Slope
Setler79 [48]

Answer:

In order to go from the first point to the second, we need to rise from 4 to 7, i.e. by 3. We also need to run from -4 to -2, i.e. by 2. Therefore the slope is 32 .

Step-by-step explanation:

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The answer is The third angle measures 120 degrees

Step-by-step explanation:

I know this because a triangle has angle sum of 180 and so if you know two of the sides then you can add them together; 30+30 = 60 then substract it from 180; 180-60 and that would equal 120 degrees.

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