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3 years ago

Work out the lengths of sides a and b. Give your answers to 1 decimal place. 8 cm 5 cm

Mathematics

1 answer:

BlackZzzverrR [31]3 years ago

3 0

Answer:

Step-by-step explanation:

a = $\sqrt{8^{2} + 5^{2}}$ = $\sqrt{64+25}$ = $\sqrt{99}$ = 9.9

b = $\sqrt{17^{2} - 12^{2}}$ = $\sqrt{289-144}$ = $\sqrt{145}$ = 12

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Laura is baking a cake. The recipe says that she has to mix 64 grams of chocolate powder to the flour. Laura knows that 1 cup of

pickupchik [31]

The answer is She went over by one over six of a cup

1 cup of that particular chocolate powder has a mass of 128 grams: 1c = 128g

64 grams of chocolate powder is x cups.
1c = 128g
x = 64g

1c : 128 g = x : 64g
x = 1c : 128 g * 64 g
x = 0.5 c
64 grams of chocolate powder is 0.5 cups = 1/2 cups

She added two over three of a cup of chocolate powder: 2/3 cups

She need to add 1/2 cups: 1/2 = 3/6 cups
She added 2/3 cups: 2/3 = 4/6 cups

So she added 4/6 - 3/6 = 1/6 cups more.

5 0

3 years ago

For each diagram, describe a translation, rotation, or reflection that takes line ℓ to line ℓ′. Then plot and label A′ and B′, t

inn [45]

Answer:

translate down 3
reflect across the horizontal line through A

Step-by-step explanation:

1. There are many transformations that will map a line to a parallel line. Translation either horizontally or vertically will do it. Reflection across a line halfway between them will do it, as will rotation 180° about any point on that midline.

In the first attachment, we have elected to translate the line down 3 units.

2. Again, there are many transformations that could be used. Easiest is one that has point A as an invariant point, such as rotation CW or CCW about A, or reflection horizontally or vertically across a line through A.

Any center of rotation on a horizontal or vertical line through A can also be used for a rotation that maps one line to the other.

In the second attachment, we have elected to reflect the line across a horizontal line through A.

6 0

2 years ago

72/12 simpliest from

salantis [7]

6....or 2/1............

6 0

2 years ago

Read 2 more answers

A survey found that 12 out of every 15 people in the united States prefer eating at a restaurant over cooking at home. if 400 pe

I am Lyosha [343]

500 people took the survey.

12 out of 15 people is 80% of the population. 12/15 = 0.80
Thus, 80% of the population prefers eating in the restaurant.

If 400 represents the people who prefers eating in the restaurant; then, 400 is the 80% of the population. To get the total population or 100%, we must divide 400 by 0.80 or 80%

400 / 0.80 = 500 people.

Out of the 500 people, 400 selected eating in the restaurant while the remaining 20% of the population or 100 people selected cooking at home.

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2 years ago

Read 2 more answers

Kailynn made 18 out of her last 70 free throw attempts. If she attempts 70 free throws this season, predict how many she will mi

zlopas [31]

Around 50 free throws she will miss

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2 years ago