All categories

1 year ago

What is the area of the figure?

Mathematics

1 answer:

Finger [1]1 year ago

7 0

Answer:

Given a figure that is broken into a rectangle and triangle.

The dimensions of the rectangle are:

Base : 5 ft

Height : 1/3 ft

The dimensions of the triangle are :

Base : 3 upon 2/3 ft

Height : 2 ft

The area of the figure calculated below :-

Area of rectangle + Area of triangle

Area of rectangle + Area of triangleLB + 1/2BH

(5×1/3) + (1/3+3upon2/3×2)

The result is simplified below :-

5/3+11/3

5+11/3

16/3 ft

51/3 ft square.

The area of the figure is 5 and one third square feet.

You might be interested in

The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.0 inches and a standard devi

alexira [117]

Answer: 0.8490

Step-by-step explanation:

Given : The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.0 inches and a standard deviation of 0.9 inches.

i.e. $\mu=30$ and $\sigma=0.9$

Let x denotes the lengths of aluminum-coated steel sheets.

Required Formula : $z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

For n= 36 , the probability that the average length of a sheet is between 29.82 and 30.27 inches long will be :-

$P(29.82$

∴ Required probability = 0.8490

3 0

3 years ago

Consider the sequence: 3, 8, 13, 18, 23, ...The recursive formula for this sequence is:an = an-1 + 5In a COMPLETE sentence, expl

Akimi4 [234]

Answer:

$a_8=38$

Step-by-step explanation:

<u>Recursive sequence </u>

In a recursive sequence formula, each term $a_n$ is computed as a function of one or more previous terms. In the formula

$a_n=a_{n-1}+5$

n is the number of the term we want to calculate. If n=8, then the formula becomes

$a_8=a_{7}+5$

We can see $a_{n-1}$ is the previous term. It means we need $a_7$ to be able to compute $a_8$ . But we also need $a_6$ to compute $a_7$ and so on until some known data is reached. The question provides five terms, $a_5=23.$