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3 years ago

Given that y varies jointly as x and z, and y = 13 when x = 5

Mathematics

1 answer:

seraphim [82]3 years ago

6 0

Step-by-step explanation:

y=kxz

13=k x 5 x 8

13= 40k

K=13/40

a. y=13/40 x 4 x 10

y=13/40 x 40

y=13

b. 20=13/40 x x x 12

20=13/40 x 12x

20=156x

20 x 40=156x

800=156x

X=800

156

X=200

X=5 5/39

C. 15=13/40 x 6 x z

15=78z

15x40=78z

600=78z

Z=600

Z=100

Z=7 9/13

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Please save my life

hjlf

We are Given:_______________________________________________

ΔABC right angled at B

BC = 8

AC = 20

Part A:_____________________________________________________

Finding the length of AB

From the Pythagoras theorem, we know that:

AC² = BC² + AB²

replacing the given values

(20)² = (8)² + AB²

400 = 64 + AB²

AB² = 336 [subtracting 64 from both sides]

AB = 18.3 [taking the square root of both sides]

Part B:_____________________________________________________

Finding Sin(A)

we know that Sin(θ) = Opposite / Hypotenuse

The side opposite to ∠A is BC and The hypotenuse is AC

So, Sin(A) = BC / AC

Sin(A) = 8/20 [plugging the values]

Sin(A) = 2/5

Part C:_____________________________________________________

Finding Cos(A)

We know that Cos(θ) = Adjacent / Hypotenuse

The Side adjacent to ∠A is AB and the hypotenuse is AC

So, Cos(A) = AB / AC

Cos(A) = 18.3/20 [plugging the values]

Cos(A) = 183 / 200

Part D:_____________________________________________________

Finding Tan(A)

We know that Tan(θ) = Opposite / Adjacent

Since BC is opposite and AB is adjacent to ∠A

Tan(A) = BC / AB

Tan(A) = 8 / 18.3 [plugging the values]

Tan(A) = 80 / 183

7 0

4 years ago

Read 2 more answers

The length, in millimeters of each side of a square shaped electronic chip is a rational number. What statement is true about th

AVprozaik [17]

Answer:

The diagonal is irrational because it is a product of a rational and an irrational number

Step-by-step explanation:

The options are not given. However, the question is still answerable.

Given

Shape: Square

Length: Rational

Since the side length is said to be rational, I'll answer the question based on whether the diagonal is rational or not.

Having said that:

The diagonal (d) of a square with side length (l) is calculated using Pythagoras theorem.

$d^2 = l^2 + l^2$

$d^2 = 2l^2$

Take positive square root of both sides

$d = \sqrt{2l^2}$

Split:

$d = \sqrt{2} * \sqrt{l^2}$

$d = \sqrt{2} *l$

Recall that the side length (l) is rational.

However, $\sqrt 2$ is irrational.

So, the product of l and $\sqrt 2$ will be irrational

Hence:

The diagonal is irrational

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3 years ago

Is 1/2 x 3/5 larger or smaller than 1/2? Why?

Shalnov [3]

1/2 is smaller than 3/5. if you to give them common denominators 1/2 would be 5/10 but 3/5 would be 6/10

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3 years ago

A long distance telephone company offer two plans . The deluxe plan cost $30 a month and offers unlimited long distance calling.

Gnesinka [82]

Answer:

399 minutes a month

Step-by-step explanation:

As I understand the question the answer would, in other words, be how many minutes you can long-distance call with the economy plan for under $30.

The unit ratio is 5 cents per minute, which equates to 20 minutes worth of call time for one dollar (100/5).

The economy plan is $20 cheaper than the deluxe plan. $20 spent on long-distance calling gets you 400 mintues, but the question asks for an integer that would still leave remaining money.

Therefore the answer is 399 minutes of long-distance calling, which would leave five unspent cents.

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3 years ago

Write an expression for the following

ycow [4]

Answers:
A) 14 -P
B) (D+F) ^ 8
C) (5x2) + 5
D) C + 6

Enjoy!

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2 years ago

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