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3 years ago

I NEED HELP PLEASE, THANKS! :)

Mathematics

1 answer:

maxonik [38]3 years ago

6 0

Answer:

Assume that Sk is valid for n=k and prove that Sn is valid for n= k+ 1

Step-by-step explanation:

This is Principle of Mathematical Induction ---PMI

Step 1: Verify that Sn is valid for n =1

Step 2:Assume that Sk is valid for n=k and prove that Sn is valid for n= k+ 1

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In the diagram below, x is a whole number. what is the smallest possible value for x?

lesya692 [45]

Answer:

The smallest possible value for x is $9\ units$

Step-by-step explanation:

we know that

The <u>Triangle Inequality Theorem</u>. states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

$x+x>17\\2x>17\\x>8.5\ units$

The value of x must be greater than $8.5\ units$

If x must be a whole number

therefore

The smallest possible value for x is $9\ units$

3 0

2 years ago

Mile is obsessed with her new book she started. She read 185 pages in 2 days. If she keeps up this pace about how many pages wil

inna [77]

Answer:

462.5 pages

Step-by-step explanation:

You find out how many books she reads in 1 day then you can multiply it by 5 to get 5 days.

If she reads 185 in 2 days. Divide 185 by 2 to get 1 day.

185/2 = 92.5 pages

Now multiply 92.5 by 5 to get how many pages she read after 5 days.

92.5 x 5 = 462.5 pages

8 0

3 years ago

Evaluate each expression

solmaris [256]

Answer:

4 * 4 ÷ 4 = 4

8 ÷ (2*2) = 2

Step-by-step explanation:

$4 * 4 \div4\\\rule{150}{0.5}\\\text{Use PEMDAS}\\\\4 * 4 \div4\\\\4 * 1\\\\\boxed{4}$

==============================

$8 \div (2*2)\\\rule{150}{0.5}\\\text{Use PEMDAS}\\\\8 \div (2*2)\\\\8 \div 4\\\\\boxed{2}$

I hope this helps.

5 0

2 years ago

Angles P and Q are supplementary angles. If m

RSB [31]

Supplimentary angles add upto 180 degrees.

Given that angle P is three times angle Q-4 then ;

Let angle P be 3(x-4) = 3x -12

Let angle Q be x

Applying the rule of supplimentary angles;

$3x-12+x=180$ $4x-12=180$ $4x=180+12$ $4x=192$

Divide both sides by 4 to get value of x in degrees

$x=\frac{192}{4}=48$

x= 48 degrees

Angle Q = 48 degrees

Angle P = 3x-12 = (3*48)-12 = 132 degrees

7 0

10 months ago

The lines below are perpendicular. if the slope of the green line is -5, what is slope of the red line?

igomit [66]

Hello :
<span>slope of the red line is : a
a×(-5) = -1
a=1/5</span>

5 0

3 years ago