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3 years ago

Austin drove 455 miles in 7 hours.

Mathematics

1 answer:

Effectus [21]3 years ago

3 0

Answer:

9 hours

Step-by-step explanation:

455/7 gives you the mph

which is 65

then divide 585 miles by the mph (65)

585/65

= 9 hours

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Plz help me with 3 Questions

Lesechka [4]

I hope this helps you

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4 years ago

Read 2 more answers

What is 66 tens + 24 tens

natita [175]

Answer:

900.

Step-by-step explanation:

66 tens are 660.

and 24 tens are 240.

so, It is 900!

3 0

3 years ago

Find the area of a circle circumscribed about an equilateral triangle whose side is 18 inches long. 81 108 243

jekas [21]

Answer:

Area= $339.2920in^2 \ or \ 108\pi \ in^2$

Step-by-step explanation:

Area of circle is given as:

$A=\pi\ r^2$

Where $r=radius$

To find radius of a circle circumscribing an equilateral triangle, we use the expression

$r=\frac{a\sqrt3}{3}$

Where, a is the length of sides of the equilateral triangle. Therefore:- $r=\frac{18\sqrt3}{3}\\r=6\sqrt3 \ or \ 10.3923in$

We can then proceed and calculate the area of the circle as follows:-

$A=\pi\ r^2\\A=\pi(10.3923)^{2}\\A=339.29\ or \ 108\pi$

*The attached picture illustrates what the circumscribed equilateral triangle looks like

4 0

4 years ago

Solve for x: 6x-8=4x+12-x

balandron [24]

Hi,

x= 20/3

Have a great day!

8 0

3 years ago

Here is a rule for generating a sequence; 3n+10 What is the 150th term of the sequence generate by this rule?

slava [35]

Answer:

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

<h3>Topic - Arithmetic Progression ( AP )</h3>

Given - a general term for a sequence.

To find - the 150th term of the given sequence

so let's start ~

General term , $A_{n}$ = 3n + 10

let's consider certain values of n to get some information with us which will help us solve the problem further !

let's first consider , n = 1 ! then ,

$3n + 10 = 3(1) + 10 \\ \dashrightarrow \: 13$

now , let's consider n = 2

$3n + 10 = 3(2) + 10 = 6 + 10 \\ \dashrightarrow \: 16$

then , let's consider n = 3

$3n + 10 = 3(3) + 10 = 9 + 10 \\ \dashrightarrow \: 19$

hence ,

now we've with us an AP which is as follows -

$13 \: , \: 16 \: , \: 19 \: ......$

from this Arithmetic Progression ,

we can know that

a = first term = 13

d = common difference = 16 - 13 = 19 - 16 = 3

now ,

$A _{n} = a + (n - 1)d \\ \implies \: A _{150} = 13 + (149)(3) \\ \implies \: A _{150} = 13 + 447 \\ \pink{\implies \: A _{150} = 460}$

hope helpful :D

3 0

3 years ago