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2 years ago

Compare the quantity in column A with the quantity in column B. Choose the best answer.

Mathematics

2 answers:

Free_Kalibri [48]2 years ago

7 0

Answer:

Step-by-step explanation:

The sine of an angle is equal to the cosine of its complement. In a right triangle, the acute angles are complementary, which means ...

sin(A) = cos(B)

The two quantities are equal.

earnstyle [38]2 years ago

3 0

Answer:

Step-by-step explanation:

Sin(A) = opposite / hypotenuse

opposite = 4

hypotenuse = 5

Sin(A) = 4/5 = 0.8

Cos(B) = adjacent / hypotenuse.

adjacent = 4

hypotenuse = 5

Cos(B) = 4/5 = 0.8

Believe it or not, this will always happen if you take Sin(A) and find that Cos(90 - A) are equal

Take a simpler case. Suppose you are working with a 30 60 90 triangle.

Cos(60) = Sin(90 - 60) = 1/2

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The Statue of Liberty, Grand Canyon, and Empire State Building are all examples of __________ good.

makkiz [27]

Answer: C

Explain: The Statue of Liberty, Grand Canyon, and Empire State Building are all examples of INDUSTRY Good.

7 0

3 years ago

Read 2 more answers

Anyone know how to do this? If so plz help

bekas [8.4K]

NOTES:

Use the equation y = mx + b where m is the unit rate and b is the one-time flat fee

1. Answer:

$\begin {array}{c||c|c|c|c}x&0&1&2&3\\ y&70.00&70.20&70.40&70.60\\\end{array}$

Step-by-step explanation:

coffee maker costs $70 - this is a one-time flat fee

it costs $0.20 per cup of coffee - this is the unit rate

y = 0.20x + 70

y = 0.20(0) + 70 → y = 0.00 + 70 → y = 70.00

y = 0.20(1) + 70 → y = 0.20 + 70 → y = 70.20

y = 0.20(2) + 70 → y = 0.40 + 70 → y = 70.40

y = 0.20(3) + 70 → y = 0.60 + 70 → y = 70.40

*******************************************************************************

2. Answer:

$\begin {array}{c||c|c|c|c}x&1&2&3&4\\ y&4.50&6.00&7.50&9.00\\\end{array}$

Step-by-step explanation:

shoes costs $3.00 - this is a one-time flat fee

it costs $1.50 per game of bowling - this is the unit rate

y = 1.50x + 3.00

y = 1.50(1) + 3.00 → y = 1.50 + 3.00 → y = 4.50

y = 1.50(2) + 3.00 → y = 3.00 + 3.00 → y = 6.00

y = 1.50(3) + 3.00 → y = 4.50 + 3.00 → y = 7.50

y = 1.50(4) + 3.00 → y = 6.00 + 3.00 → y = 9.00

*******************************************************************************

3. Answer: Negative

Step-by-step explanation:

As the x-values increase, the y-values decrease. Opposite directions results in a negative slope.

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4. Answer: Gym A → y = 20x + 50 Gym B → y = 25x + 30

Step-by-step explanation:

Use the slope formula: $m = \dfrac{y_2-y_1}{x_2-x_1}$ . Then choose ONE of the points and input the point (x₁, y₁) and slope (m) into the Point-Slope formula: y - y₁ = m(x - x₁) and solve for y.

Gym A: (x₁, y₁) = (1, 70) and (x₂, y₂) = (2, 90)

$m=\dfrac{90-70}{2-1} = \dfrac{20}{1} = 20$

y - 70 = 20(x - 1)

y - 70 = 20x - 20

y = 20x + 50

Gym B: (x₁, y₁) = (1, 55) and (x₂, y₂) = (2, 80)

$m=\dfrac{80-55}{2-1} = \dfrac{25}{1} = 25$

y - 55 = 25(x - 1)

y - 55 = 25x - 25

y = 25x + 30

5 0

3 years ago

Work out the missing value in the calculation below

fiasKO [112]

Answer:

Step-by-step explanation:

$\frac{2}{3} +\frac{1}{6}= \frac{ }{6} \\$

Here LCM will be 6. (We made the denominator same)

so, now the equation will be :

$\frac{2}{3}+\frac{1}{6} \\\\ =\frac{4}{6} + \frac{1}{6}$

= 5/6

So, the value in the red box is 5.

Hope it helps!

3 0

2 years ago

If it takes 5 workers 4 hours to build a 10 foot wall, and the number of hours is directly proportional to the number of walls t

pychu [463]

4x10=40 10x10=100 ft/10 100/10=10 walls

4 0

3 years ago

Do the ratios 10/8 and 16/20 form a proportion Yes or no?

ziro4ka [17]

Answer:

No. Reduce 10/8 by dividing by 2. 10/8= 5, 8/2= 4. 10/8= 5/4. Reduce 16/20 by dividing by 4. 16/4= 4 , 20/4= 5. 16/20= 4/5.

6 0

3 years ago