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2 years ago

Given three noncollinear points in space, how many lines can be drawn

Mathematics

2 answers:

Serhud [2]2 years ago

5 0

Four lines can be drawn!

laiz [17]2 years ago

4 0

The first question is 4 lines total. One from each of the collinear lines and the original collinear line:
<span>1 </span>
<span>/ | \ </span>
<span>2_3_4 </span>

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What type of triangle has side lengths 9, 10, and √130? A. obtuse B. not a triangle C. acute D. right

EastWind [94]

Answer: Option C.

Step-by-step explanation:

The lengths of our triangle are:

9, 10 and √130.

If the triangle is a triangle rectangle, by the Pitagoream's theorem we have:

A^2 + B^2 = H^2

in this case H is the larger side, this must be √130.

then:

A and B must be 9 and 10.

9^2 + 10^2 = (√130)^2

81 + 100 = 130

This is false, so this is NOT a triangle rectangle, the hypotenuse is shorter than it should be.

Now, we have some kind of rule:

if A^2 + B^2 = H^2 then we have one angle of 90° and two smaller ones. (triangle rectangle)

if A^2 + B^2 > H^2 then all the angles are smaller than 90°, this is an acute triangle.

if A^2 + B^2 < H^2 then we have one angle larger than 90°, this is an obtuse angle.

(H is always the larger side, A and B are the two shorter ones).

In this case:

81 + 100 > 130

Then this must be an acute angle.

3 0

2 years ago

Cynthia has a photo frame that has a circumference of 56.52cm. What is the radius of the photo frame

Pavlova-9 [17]

Answer: 9cm

Step-by-step explanation:

The circumference of a circle is given as: = 2πr

where,

π = 3.142

r = radius = unknown

Since circumference = 56.52cm, we'll slot it into the formula which will be:

Circumference = 2πr

2πr = 56.52

2 × 3.142 × r = 56.52

6.284r = 56.52

r = 56.52 / 6.284

r = 8.99

r = 9cm approximately

6 0

3 years ago

1. What are the zeros of the function?

Juliette [100K]

C.

You can factor that equation to the following:

x(x - 3)(x + 2)

Then set each part equal to zero and solve individually.

4 0

3 years ago

Read 2 more answers

How do you solve this problem

lora16 [44]

X² = 17

To simplify this, you need to find the square root of x², which is x, and the square root of 17.

x = √17
Also remember that when you are using square root, the answer can be either positive or negative.

x = +/-√17 ≈ +/- 4.12

6 0

3 years ago

Read 2 more answers

A gallon of gas costs $4.34.Greg puts 12 gallons of gas in his car,He has a 50-dollar bill.Tell how much Greg will have left,or

Lerok [7]

Greg will need $2.08 more money to buy 12 gallons of gas.

<h3>Further explanation</h3>

A gallon of gas costs $4.34

Greg puts 12 gallon of gas

Greg has $50

First, we are going to calculate how much money does Greg needs for 12 gallon of gas:

= 12 gallon of gas x cost/gallon

= 12 x 4.34

= 52.08

To multiply the decimal it's just the same way as the whole number multiplication, except for the placement of the decimal point in the answer. For the example

4.34 ⇒ 2 decimal place

<u> 12 x</u> ⇒ 0 decimal place

868

52.08 ⇒ 2 decimal place

By doing the same process as the whole number multiplication we got the answer is 52.08, but don't forget to add the decimal point/decimal place. The first factor has 2 decimal place, the second factor has 0 decimal place, so the answer will have two decimal place (2+0 = 2), by adding the decimal place.

The next step , 12 gallon of gas cost $52.08, if he has $50 so it cost more than the money he has, We are going to do a subtraction:

$52.08

<u>$50.00 </u>- ⇒ <em>we put zero so we can the borrowing (regrouping)</em>

$ 2.08

To subtract a decimal number, we need to line up the decimal point, add trailing zero as a placeholder and then do the subtraction

<h3>Learn more</h3>

Total spend brainly.com/question/12203917

Decimal multiplication brainly.com/question/2124592

Decimal multiplication brainly.com/question/1254534

Keywords: multiplication, decimal multiplication, two digits number additional, additional, subtraction decimal, regrouping

3 0

3 years ago

Read 2 more answers