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2 years ago

Is it possible to draw a triangle with angles 150°, 20° and 20°? Explain your answer.

Mathematics

1 answer:

Maksim231197 [3]2 years ago

7 0

Answer:

No, it is not possible.

Step-by-step explanation:

The Triangle Sum Theorem states that all the interior angles of a triangle will always add up to 180°, but 150 + 20 + 20 = 190.

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Tim has an after-school delivery service that he provides for several small retailers in town. He uses his bicycle and charges $

nlexa [21]

Answer:

Step-by-step explanation:

Given that

For delivery within $1\frac{1}2$ mi, charges = $1.25

For delivery within $1\frac{1}2$ mi - $1\frac{3}4$ mi, charges = $1.70

For delivery within $1\frac{3}4$ mi - 2 mi, charges = $2.15

and

so on.

i.e.

For delivery within 2 mi - 2 $\frac{1}4$ mi, charges = $2.60

For delivery within 2 $\frac{1}4$ mi - 2 $\frac{1}2$ mi, charges = $3.05

For delivery within 2 $\frac{1}2$ mi - 2 $\frac{3}4$ mi, charges = $3.50

For delivery within 2 $\frac{3}4$ mi - 3 mi, charges = $3.95

For delivery within 3 mi - 3 $\frac{1}4$ mi, charges = $4.40

So, every 0.25 mi or $\frac{1}4$ mi increase in distance, there is an increase of $0.45 in the charges.

It is given that there is increase of 10% in the rates.

i.e. for every 0.25 mi increase in distance, there is an increase of 0.45*1.10 = $0.495 in the charges.

The distance of $3\frac{1}8$ miles lies within the range 3 mi - 3 $\frac{1}4$ mi.

So actual charges after increase of 10%

$\Rightarrow \$4.40 \times \dfrac{110}{100}\\\Rightarrow \$4.40 \times 1.10\\\Rightarrow \bold{\$4.84}$

6 0

3 years ago

Convert the following rational number to a decimal. Round to the nearest thousandth when necessary. 11/12

svet-max [94.6K]

0.917

it is 9.166666666 (6 repeating)

3 0

4 years ago

A cylindrical container that contains three tennis balls that are 5. 4 inches in diameter is lying on its side and passes throug

maksim [4K]

The length and width of the rectangle are 5.4 inches and 16.2 inches. Then the correct option is C.

<h3>What is Geometry?</h3>

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A cylindrical container that contains three tennis balls that are 5.4 inches in diameter is lying on its side and passes through an x-ray scanner that scans from the top only.

When light is fall on the cylinder then its projection will be a rectangle.

The width and diameter of the cylinder will be the same and that is equal to 5.4 inches.

And the height of the rectangle will be the same as the height of the cylinder and that is equal to 16.2 inches.

More about the geometry link is given below.

brainly.com/question/7558603

8 0

2 years ago

How do you tell if a graph is a proportional relashionship

olga55 [171]

Answer:

see if the line through these points passes through the origin (0, 0). The points are on a line that passes through the origin. So, x and y have a proportional relationship.

Step-by-step explanation:

4 0

3 years ago

-x + 5y=1 4x+ 3y =-4

Mkey [24]

-X + 5Y = 1
X = 5Y - 1

4X + 3Y = -4
Substitute
4(5Y - 1) + 3Y = -4
Simplify
20Y - 4 + 3Y = -4
23Y = 0
Y = 0
X =-1
~Hai <3

7 0

3 years ago