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3 years ago

Determine the triangle and classify question 4.1.2

Mathematics

1 answer:

hjlf3 years ago

5 0

9514 1404 393

Answer:

ΔPQO is a right triangle

Step-by-step explanation:

Looking at the way the lines cross the grid intersections, we can see right away that the triangle is a right triangle, because the slope of OP is -2 and the slope of OQ is 1/2. These are opposite reciprocals of each other, so the segments are perpendicular. Angle O is a right angle.

The problem asks us to look at the relationship between side lengths.

The length of OP is found from the coordinates by ...

OP² = (-1 -0)² +(2 -0)² = 1 +4 = 5

OQ² = (6 -0)² +(3 -0)² = 36 +9 = 45

PQ² = (6 -(-1))² +(3 -2)² = 49 +1 = 50

The sum of the squares of the legs is equal to the square of the longest side (5+45=50), so this triangle is a right triangle.

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A triangle has angles measuring 16 44 and 120 what type of triangle is this

irga5000 [103]

Obtuse since one angle is greater than 90 and in an obtuse triangle only one angle is needed to be greater than 90 degrees. It is also scalene

7 0

3 years ago

Pls help due in 10 minutes!!!!!!!!!!!!!!1

AlladinOne [14]

Answer:

Step-by-step explanation:

Given expression:

$27 \cdot \left(\left(3^3\right)^{-1}\right)$

Following the <u>order of operations</u>, carry out the operations inside the parentheses first:

$\implies 27 \cdot \left(\left(3 \cdot 3\cdot 3\right)^{-1}\right)$

$\implies 27 \cdot \left(27^{-1}\right)$

$\textsf{Apply exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:$

$\implies 27 \cdot \left(\dfrac{1}{27^1}\right)$

$\implies 27 \cdot \left(\dfrac{1}{27}\right)$

Convert 27 to a fraction:

$\implies \dfrac{27}{1} \cdot \dfrac{1}{27}$

Cross cancel the common factor:

$\implies \dfrac{\diagup\!\!\!\!\!27}{1} \cdot \dfrac{1}{\diagup\!\!\!\!\!27}$

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5 0

2 years ago

In order to expand its runways, an airport bought five tracts of land: 62 5/6 acres, 14 4/5 acres, 33 2/3 acres, 49 7/15 acres,

Alexxx [7]

Answer:

The answer to your question is The airport bought 164.7 acres

Step-by-step explanation:

Data

62 5/6

14 4/5

33 2/3

49 7/15

10 3/5

Process

1.- Convert mixed fractions to improper fractions

62 5/6 = (372 + 5)/6 = 377/6

14 4/5 = (70 + 4)/5 = 74/5

33 2/3 = (99 + 2) / 3 = 101/3

49 7/15 = (735 + 7)/15 = 742/15

10 3/5 = (50 + 3)/5 = 53/5

2.- Look for the Least Common Factor

6 5 3 15 5 2

3 5 3 15 5 3

1 5 1 5 5 5 least common factor = 2 x 3 x 5 = 30

1 1 1 1 1

3.- Add the fractions

337/6 + 74/5 + 101/3 + 742/15 + 53/5 = (1685 + 444 + 1010 + 1484 + 318)/30

= 4941/30

4.- Divide 4941 by 30

4941/30 = 164.7 acres

6 0

4 years ago

Can someone answer this too?!?!

Ksenya-84 [330]

1/6 plus 2/3 = 5/6 so you do 24 - 5/6 which is 23 1/6

8 0

4 years ago

How do i get the answer x= 3, -1 for equation (3/x^2)+ 2/x =1

Assoli18 [71]

Answer:

Steps below

Step-by-step explanation:

(3/x²)+ 2/x =1 (x ≠ 0)

(3/x²) + 2x/x² = 1

(3 + 2x) / x² = 1

3 + 2x = x²

x² - 2x - 3 = 0

(x + 1) (x - 3) =0

x = -1 or x = 3

3 0

3 years ago