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Tanya [424]
3 years ago
9

A boy faces north. He turns left until he faces east. How many right angles does he turn?

Mathematics
2 answers:
Pavlova-9 [17]3 years ago
7 0
This can be done 2 ways. Like this:- 

Way #1:-

North then turn West (thats 1 right angle) then turn south (2nd right angle) and last but not least turn east (3rd right angle). So if we do it this way the boy turns 3 right angles.

Way #2:-

Boy starts at north and turns to east. This has 1 right angle.
kenny6666 [7]3 years ago
6 0
That is so easy, the answer is 1 right angle.North is to front and east is to the right so it is just 1 right angle.
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Find angle × Find angle y
IrinaVladis [17]

Answer:

Angle x is 64 degrees. Angle y is 128.

Step-by-step explanation:

To find angle x:

In an isosceles triangle, the base angles are always congruent (equal). Since we know that one of the base angles is 64, and x is also a base angle, x is 64 degrees as well.

To find angle y:

Again, in an isosceles triangle, the base angles are always congruent. Since we know that one of the base angles is 26, we know that the other base angle is also 26. Then, to find the last angle (y), you use the triangle angle sum theorem which states that all angles in a triangle add up to 180. To figure out angle y, you do 180-26-26 to get 128. So angle y is 128 degrees.

7 0
2 years ago
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Two groups of staff at a store are making flowers to decorate the entrance. If Group A were to do it alone, it would take them 1
Tcecarenko [31]

Answer:

\dfrac{6750}{7}

Step-by-step explanation:

Let x be the number of flowers. If Group A were to make x flowers alone, it would take them 10 hours to complete the task, then they make \dfrac{x}{10} flowers in an hour.  If Group B were to make x flowers alone, it would take them 15 hours to complete the task, then they make \dfrac{x}{15} flowers in an hour.

The groups decided to work together. They can make \dfrac{x}{10}+\dfrac{x}{15}=\dfrac{x}{6} together in an hour and it takes them \dfrac{x}{\frac{x}{6}}=6 hours. Group B took a break for 1 hour and 40 minutes (1\dfrac{2}{3} hour), then Group B works

6-1\dfrac{2}{3}=4\dfrac{1}{3} hours.

Thus,

\dfrac{x}{10}\cdot 6-\dfrac{x}{15}\cdot 4\dfrac{1}{3}=300,\\ \\\dfrac{3x}{5}-\dfrac{13x}{45}=300,\\ \\14x=300\cdot 45=13500,\\ \\x=\dfrac{13500}{14}=\dfrac{6750}{7}.

6 0
3 years ago
The graph of a polynomial S(x) = (2x - 3)(x – 4)(x+3) has x-intercepts at 3.x values.
dezoksy [38]

Answer:

Step-by-step explanation:

x-intercepts exist where y is equal to 0. Where y is equal to 0 is where the graph goes through the x-axis. Our x-intercepts are (2x-3), (x + 3), and (x-4). Again, since x-intercepts exist where y = 0, then by the Zero Product Property, 2x - 3 = 0, x - 4 = 0, and x + 3 = 0. In the first x-intercept:

2x - 3 = 0 and

2x = 3 so

x = 3/2

In the second:

x - 4 = 0 so

x = 4

In the third:

x + 3 = 0 so

x = -3

So the x-intercepts in the correct order are x = 3/2, 4, -3

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3 years ago
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alexandr1967 [171]

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. In our tomato example, that ratio is $3.00/2, which equals $1.50. Two quantities are directly proportional when they increase and decrease at the same rate.

Step-by-step explanation:

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4 0
3 years ago
there are 120 people attending a wedding reception. There are 16 tables. Some are round and some are square. the round table sea
alexira [117]
So I won't tell you the answer but I will give you a clue. do 120 times 16 - 8 + 6
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