5

Mathematics

1 answer:

Svetach [21]3 years ago

8 0

Answer:

$\frac{13}{45}$ more

Step-by-step explanation:

We need to get both of them to a common denominator. The simplest way to do this is just multiply the denominators by each other. this comes out to 135. But what you do to the denominator, you have to do to the numerator. 5(15)/9(15). 4(9)/15(9)

The 5/9 comes out to be 75/135 and the 4/15 comes out to be 36/135. Subtract the Smaller one from the bigger one to find the difference, in this case being 39/135. Then to simplify, we need see if we can find a common factor of 135 and 39, which we do: 3. divide both of them by three, and we get the final answer to come out as 13/45, which is the final answer (we know it cant simplify any further since 13 is a prime number).

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Please help! 30 points!

Rashid [163]

Answer: $64.2^{\circ}$

Step-by-step explanation:

According to the cosine rule

$\cos C=\dfrac{a^2+b^2-c^2}{2ab}$

Here, $a=83, b=111, c=165,\ C=180^{\circ}-\theta$

Putting values

$\Rightarrow \cos (180^{\circ}-\theta)=\dfrac{83^2+111^2-165^2}{2\times 83\times 111}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{6889+12321-27225}{18426}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{-8015}{18426}=-0.4349\\\\\Rightarrow 180^{\circ}-\theta=\cos^{-1}(-0.4349)=115.77^{\circ}\\\Rightarrow \theta=64.23\approx 64.2^{\circ}$

So, the ship turns by $64.2^{\circ}$ north of west

8 0

3 years ago

Which statement comparing x² + 10 and x + x + x is true when x=−5 ?

Lina20 [59]

X^2 + 10 = 35 when x = -5
x + x + x = 3x = -15 when x = -5.

The answer is B because part A just restates the first equation, and Part C determines which is greater. If you want to determine the difference between the two when x = -5, part B is the best answer because it subtracts the product of one of them from the other.

3 0

3 years ago

Graph the solution set for the inequality z-4≤3

OleMash [197]

Answer:

see below

Step-by-step explanation:

Add 4 to find the solution:

z ≤ 7

The value 7 is included in the solution set, so there will be a solid dot at that point. Numbers less than 7 are also included in the solution set, so the number line will be shaded to the left of that solid dot.