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2 years ago

12

The digit 9 is in the tens place of a whole number. If 9 were moved from the tens place to the hundreds place, how many times gr

eater would the value of 9 be?

1 answer:

HACTEHA [7]2 years ago

4 0

The value would be 10 times greater.

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Find the unknown side length. Write your answer in simplest radical form.

Eva8 [605]

Answer: 1. x= 20 units, 2. x= $5\sqrt{3}$ units 3. x= $4\sqrt{2}$ units.

Step-by-step explanation:

In a right triangle,

$Hypotenuse^2= Perpendicular^2+Base^2$ (Pythagoras theorem)

1. Hypotenuse = x , Base = 16, Perpendicular = 12

$\Rightarrow\ x^2 =12^2+16^2\\\\ \Rightarrow\ x^2=144+256\\\\ \Rightarrow\ x^2=400\\\\ \Rightarrow\ x=\sqrt{400}=20$

2. Hypotenuse = 14 , Base = 11, Perpendicular = x

$\Rightarrow\ 14^2=x^2+11^2\\\\\Rightarrow\ 196=x^2+121\\\\\Rightarrow\ x^2=196-121\\\\\Rightarrow\ x^2 = 75\\\\\Rightarrow\ x=\sqrt{75}=\sqrt{25\times3}=5\sqrt{3}$

3. Hypotenuse = 9 , Base = x, Perpendicular =7

$\Rightarrow\ 9^2=x^2+7^2\\\\\Rightarrow\ 81= x^2+49\\\\\Rightarrow\ x^2=81-49\\\\\Rightarrow\ x^2=32\\\\\Rightarrow\ x=\sqrt{32}=\sqrt{16\times2}\\\\\Rightarrow\ x=4\sqrt{2}$

5 0

2 years ago

The emergency brake cable in a truck parked on a steep hill breaks and the truck starts rolling down the hill. The distance in f

topjm [15]

Answer:40.5

Step-by-step explanation:

5 0

2 years ago

Look at the following number sequence. 3, 7, 11, 15, . . . Based on the pattern, what are the next two terms?

viva [34]

So, if we look at the number pattern, we can see the numbers go up by 4.

The rule is Add 4.

So, to find the next two terms, we would add 4 to the last number shown, which is 15.

15 + 4 = 19

19 + 4 = 23

So, the next two terms are →19← and →23←.

Glad I could help, and good luck!

AnonymousGiantsFan

5 0

2 years ago

Read 2 more answers

What is the angle measure of 2x+1°

Ray Of Light [21]

Answer:

25 degrees

Step-by-step explanation:

Haha, awesome! Just did a problem like this!

All angles add up to 180, so set it up like this:

2x + 1 + 5x + 5 + 90 = 18

Combine like terms.

7x + 96 = 180

7x = 84

x = 12

Plug x back into 2x + 1

2(12) + 1

24 + 1

= 25 degrees

While we're at it...

5(12) + 5

60 + 5

= 65 degrees (for the other angle)

25 + 65 + 90 = 180

Math checks out & we're good to go!

Hope this helped. :) <3

5 0

2 years ago

Pls answer I need help

Lilit [14]

I believe it’s D but I’m not really sure hope this help a little

7 0

3 years ago

Read 2 more answers