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2 years ago

Round to the nearest tenths Plzz show step by step

Mathematics

1 answer:

zhuklara [117]2 years ago

8 0

So first, separate the triangle from the rectangle. Then calculate the area of the rectangle, length X width. 24 times 8 = 192. Now, for the triangle, we must first find its base. You see the two 6 yd's ??? We add that and we subtract that from 24. We get 12. Since we have to multiply the base times height and divide it by 2 (this is the formula for a triangle), we must find the triangle's height. You can see the red dash going through the shape and it says 16. To the right side of that, we see 8, so we instantly know that the half of that red dash is 8yd. So the triangle's height is 8yd. Multiply 12 by 8 =96. Divide it by two because a triangle is the half of a square, then we get 48yd. Add 48 by 192 and we get 240. The area of this shape is 240 yd.

That was long

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Variables x and y are in direct proportion, and y = 48n when x = 16n. Which value of k correctly relates x and y in the equation

ella [17]

You want k.
k=y/x=48n/16n=3

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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

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3 years ago

Which of the following are equal to x

KonstantinChe [14]

Answer:

A and E

Step-by-step explanation:

5 0

3 years ago

Is 6200 ft greater or less than 1 mile 900 ft

Sphinxa [80]

1 mile is equal to 5280 feet

Add 900 to it:

5280 + 900 = 6180

6180 is less than 6200, so 1 mile and 900 feet is less than 6200 feet.

7 0

2 years ago

Read 2 more answers

Focus on number two ok

melomori [17]

Its simple, convert 1 and 2/3 into a fraction which is 5/3 and use KCF which is Keep Change and Flip,

How this works is that you keep the first fraction, then change the division sign to a multiplication sign (Change = change the sign into its oppisite) then flip the other fraction from being 5/3 into 3/5. And then you multiply top times top and bottom times bottom. After that you simplify if you can, Hope this helped!

7 0

2 years ago

Read 2 more answers