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2 years ago

Law of Cosines HELP!!!!!

Mathematics

1 answer:

Kamila [148]2 years ago

8 0

Answer:

41.883

Step-by-step explanation:

c^2 = 29^2 + 13^2 - 2(29)(13)(cos 41)

c^2 = 841 + 169 - 754(-0.987)

c^2 = 1010 + 744.198

c^2 = 1754.198

c = 41.883

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Eight friends are sharing 3 pizzas. The pizzas are the same size, and each person will eat the same amount. What fraction tells

Stolb23 [73]

$\frac{8}{3}$

3 0

3 years ago

The time to assemble the first unit on a production line is 8 hours. The learning rate is 0.81. Approximately how long will it t

pochemuha

Answer:

4.428 hours

Step-by-step explanation:

If the learning rate is 0.81, the slope of the learning curve is:

$b=\frac{ln(0.81)}{ln(2)} \\b=-0.304$

The time it takes to produce the n-th unit is:

$T_n=T_1*n^b$

If T1 = 8 hours, the time required to produce the seventh unit will be:

$T_n=8*7^{-0.304}\\T_n=4.428\ hours$

It will take roughly 4.428 hours.

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3 years ago

2 Simplify -3(16 = 35+4)/5. Show your work.

Masteriza [31]

Answer:

-9

Step-by-step explanation:

Parentheses first:16-35+4 = -35+16+4 = -35+20 = -15

3(-15) = -45/5

-45 divided by 5 = -9

3 0

3 years ago

the weight M of an object on Mars varies directly as it’s weight E on Earth. A person who weighs 95 lb on Earth weighs 38 lb on

lorasvet [3.4K]

Answer:

A 100 lb person will weight 40 lb on Mars

Step-by-step explanation:

Given:

Weight on Mars directly varies as its weight on earth.

Let weight on Mars be = $M$

Let weight on Earth be = $E$

Its known that:

$M$ ∝ $E$

Thus

$M=kE$

where $k$ is constant of proportionality.

when $E=95\ lb$ , then $M=38\ lb$

thus, we have

$38=k(95)$

dividing both sides by 95.

$\frac{38}{95}=\frac{k(95)}{95}$

∴ $k=\frac{38}{95}$

Thus when $E= 100$ , $M$ would be calculated as

$M=\frac{38}{95}\times 100$

$M=\frac{3800}{95}$

∴ $M=40\ lb$ (Answer)

∴ A 100 lb person will weight 40 lb on Mars.

8 0

3 years ago

Nine less than twice a number is 49.<br> What is the number?

ratelena [41]

Answer:

Step-by-step explanation:

Assume the number as x

2x - 9 = 49

2x = 58

x = 29

7 0

3 years ago