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3 years ago

It takes 5 cooks 5 hours to bake 5 pies. Assuming no change of rate, how many

Mathematics

1 answer:

TEA [102]3 years ago

4 0

Answer: It would take 10 cooks 10 hours to bake 10 pies.

Step-by-step explanation:

Each cook takes an hour to cook a pie, therefore:

It would take 10 cooks 10 hours to bake 10 pies.

I hope this helps!

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Prove that 1/sin^2A -1/tan^2A= 1

Vika [28.1K]

Answer:

Step-by-step explanation:

$LHS =\dfrac{1}{Sin^{2} \ A }-\dfrac{1}{Tan^{2} \ A }\\\\\\ = \dfrac{1}{sin^{2} \ A}- \dfrac{1}{\dfrac{Sin^{2} \ A}{Cos^{2} \ A}}\\\\\\= \dfrac{1}{sin^{2} \ A } - \dfrac{Cos^{2} \ A}{Sin^{2} \ A}\\\\\\= \dfrac{1-Cos^{2} \ A}{Sin^{2} \ A}\\\\\\= \dfrac{Sin^{2} \ A}{Sin^{2} \ A}\\\\\\= 1 = \ RHS$

Hint: 1 - Cos² A = Sin² A

4 0

2 years ago

Please help me The difference of two numbers is 9. If the larger number is one more than twice the smaller number, find the lage

Helen [10]

Answer:

Step-by-step explanation:

Let the larger number be represented by x

Let the smaller number be represented by y

from the question, the next equations can be gotten :

x - y = 9 equation 1

x = 1 + 2y equation 2

Substitute for x in equation 1

1 + 2y - y = 9

1 + y = 9

Collect like terms

y = 9 - 1

y = 8

Substitute for y in equation 1 and solve for x (the larger number)

x - 8 = 9

x = 9 + 8

x = 17

6 0

3 years ago

2x + 7= -11 please help

Dvinal [7]

Answer:

x = -9

Step-by-step explanation:

You are solving for x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 7 from both sides:

2x + 7 (-7) = -11 (-7)

2x = -11 - 7

2x = -18

Next, divide 2 from both sides:

(2x)/2 = (-18)/2

x = -18/2

x = -9

x = -9 is your answer.

6 0

3 years ago

Read 2 more answers

Write the first ten terms of the geometric sequence a1 = 3, r = 1.1 to two decimal places. Am I supposed to multiply 3 by 1.1 te

Makovka662 [10]

The general formula for geometric series is tn = a×rⁿ⁻¹. In this question, a (or a1) is 3, and r is 1.1, therefore the first ten terms would be 3×1.1⁰ (3) , 3×1.1¹ (3.3), 3×1.1² (3.63) and so on up until you get to 3×1.1⁹ or 7.07.

6 0

2 years ago

URGENT PLEASE HELP!!!! GIVING BRAINLIEST!! If you answer this correctly ill answer some of your questions you have posted! (39pt

Musya8 [376]

Answer:

ΔMNO= 90°, m = 7.316 cm, n = 16.69 cm

Step-by-step explanation:

The little square in the corner tells you that the angle is 90°

Calculating the length of m

We know that the Tangent of an angle is gotten by dividing the opposite side by the adjacent side, i.e,

Tan Ф = Opposite ÷ Adjacent

hence:

Tan 26° = m ÷ 15

0.4877 = m / 15

make m the subject and multiply both sides by 15

0.4877 × 15 = m / 15 × 15

7.3155 = m

∴ m = 7.316 cm

Calculating the length of n

For this we can use the Pythagoras theorem that states, a² + b² = c² where m = a, b = 15 cm and c = n. Hence:

7.316² + 15² = c ²

53.52 + 225 = c ²

278·52 = c ²

c = √278·52

c = 16.69

∴ n = 16.69 cm

We could also use the Cosine of ΔOMN to get length n i.e,

The Cosine of an angle is equal to the adjacent side divided by the hypotenuse.

Cosine Ф = Adjacent ÷ Hypotenuse

Cosine 26° = 15 cm ÷ n

0.8987 = 15 / n

Make 15 the subject and multiply both sides by n

0.8987 × n = 15 / n × n

0.8987 n = 15

Divide both sides by 0.8987

0.8987 n ÷ 0.8987 = 15 ÷ 0.8987

∴ n = 16.69 cm

Hope this helps!

8 0

2 years ago