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hjlf
2 years ago
9

Calvin's school is 2.3 miles directly south of his house. After school, he takes a bus 1.8 miles directly west to the sports com

plex.
What is the length of a straight line
between Calvin's house and the sports
complex? Round to the nearest tenth.

Mathematics
1 answer:
VladimirAG [237]2 years ago
3 0

Answer:

2.9 miles

Step-by-step explanation:

If you draw this as a diagram, you will see that it is a right angled triangle and the missing side is the hypotenuse (the longest side). To calculate this, you will need to use the right angle law:

a^{2} + b^{2} = c^{2}

check out the document below (sorry, it's a little bit blurry)

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Let u=(5,-12) and c=-3 what is || cu || ?A.-39 B.21 C.39 D.51 i need help badly
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If you're using the app, try seeing this answer through your browser:  brainly.com/question/3184618

——————————

\mathsf{c}\cdot \overrightarrow{\mathsf{u}}=\mathsf{-\,3\cdot (5,\,-12)}


Therefore,

\left\|\mathsf{c}\cdot \overrightarrow{\mathsf{u}}\right\|=\mathsf{\left\|-\,3\cdot (5,\,-12)\right\|}\\\\
\left\|\mathsf{c}\cdot \overrightarrow{\mathsf{u}}\right\|=\mathsf{\left|-\,3\right|\cdot \left\|(5,\,-12)\right\|}\\\\
\left\|\mathsf{c}\cdot \overrightarrow{\mathsf{u}}\right\|=\mathsf{3\cdot \sqrt{5^2+(-12)^2}}

\left\|\mathsf{c}\cdot \overrightarrow{\mathsf{u}}\right\|=\mathsf{3\cdot \sqrt{25+144}}\\\\
\left\|\mathsf{c}\cdot \overrightarrow{\mathsf{u}}\right\|=\mathsf{3\cdot \sqrt{169}}\\\\
\left\|\mathsf{c}\cdot \overrightarrow{\mathsf{u}}\right\|=\mathsf{3\cdot \sqrt{13^2}}\\\\
\left\|\mathsf{c}\cdot \overrightarrow{\mathsf{u}}\right\|=\mathsf{3\cdot 13}

\left\|\mathsf{c}\cdot \overrightarrow{\mathsf{u}}\right\|=\mathsf{39}\quad\longleftarrow\quad\textsf{this is the answer (option C. 39)}


I hope this helps. =)

6 0
2 years ago
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A regular polygon has 15 sides. Which is a possible angle of rotational symmetry for the figure? 12° 45° 72° 90°
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Answer:

Option (3). 72°

Step-by-step explanation:

Angle of rotational symmetry = Central angle of a polygon

That means when we rotate the regular polygon by a central angle, polygon overlaps itself.

Central angle of a polygon with n sides = \frac{360}{n}

Where n = number of sides of the polygon

Therefore, central angle of a polygon with 15 sides = \frac{360}{15}

                                                                                     = 24°

Central angle tells us that after every 24° of rotation, polygon overlaps itself.

Angle of rotational symmetry may be 48°, 72°, 96°.....

Therefore, Option (3) is the possible angle of rotational symmetry.

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1 year ago
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One way to describe the U.S. dollar if the foreign exchange rate between the U.S dollar and British pound changed from 1:1 to 1:07 is the dollar has weakened. The correct answer is C. 
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A spinner has five congruent sections, one each of blue, green, red, orange, and yellow. Yuri spins the spinner 10 times and rec
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1 year ago
Chevy has some yarn that he wants to use to make hats and scarves. Each hat uses 0.2 kilograms of yarn a
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Answer:

h + s = 15

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Step-by-step explanation:

Let the number of hats Chevy made = h

Let the number of scarves made by Chevy = s

From the statement of the question, " Chevy made a total number of 15 items"

Equation will be  h + s = 15

Amount of yarn used to make one hat = 0.2 kilograms

So amount of yarn used to make "h"hats = 0.2h kilograms

Similarly Amount of yarn used to make one scarf = 0.1 kilograms

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Another statement states " Chevy wants to use 2 kilograms of yarn to make these items".

Equation for this statement will be,

0.2h + 0.1s = 2

OR 2h + s = 20 [By multiplying the equation by 10]

Therefore, system of the equations will be

h + s = 15

2h + s = 20

8 0
1 year ago
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