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3 years ago

PLZ HELP ASAP WILL MARK BRAINIEST

Mathematics

1 answer:

Harman [31]3 years ago

3 0

Answer:

Question 39: False

Question 43: True

Step-by-step explanation:

Question 39

|-4| is a solution of x ≤ 4

|-4| ⇒ This mean the absolute value of 4. The sign s are neglected.

So, |-4| is not a solution of x ≤ 4.

Question 43

The point (5, -1) is a solution of the equation: y = 2x − 11.

To prove this we are to substitute the point (5, -1) in the equation y = 2x − 11.

y = -1 and x = 5

y = 2x − 11 ⇒ -1 = 2(5) -11

-1 = 10 - 11

-1 = -1

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A ball is tossed between three friends. The first toss is 8.6 feet, the second is 5.8 feet, and the third toss is 7.5 feet, whic

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angles formed by these tosses are $79.45, 59.02$ and $41.53$ degrees to the nearest hundredth.

Step-by-step explanation:

Here , We have a triangle with sides of length 8.6 feet, 5.8 feet and 7.5 feet.

The Law of Cosines (also called the Cosine Rule) says:

$c^2 = a^2 + b^2 - 2ab (cosx)$

Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:

⇒ $c^2 = a^2 + b^2 - 2ab (cosx)$

⇒ $c^2 -a^2 - b^2 = -2ab (cosx)$

⇒ $(cosx) =\frac{ c^2 -a^2 - b^2}{ -2ab}$

⇒ $(cosx) =\frac{(8.6^2 - 5.8^2 - 7.5^2)}{ ( -2(5.8)7.5)}$

⇒ $(cosx) =0.18310$

⇒ $cos^{-1}(cosx) = cos^{-1}(0.18310)$

⇒ $x = 79.45$

The Law of Sines (or Sine Rule) is very useful for solving triangles:

$\frac{a}{sin A} = \frac{ b}{sin B} = \frac{c}{sin C}$

We can now find another angle using the sine rule:

⇒ $\frac{ 8.6 }{ sin 79.45} = \frac{7.5}{ sin Y}$

⇒ $sin Y = \frac{(7.5 (sin 79.45))}{ 8.6}$

⇒ $Y = 59.02 degrees$

So, the third angle = $180 - 79.45 - 59.02 = 41.53 degrees.$

Therefore, angles formed by these tosses are $79.45, 59.02$ and $41.53$ degrees to the nearest hundredth.

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3 years ago

PLEASE HELP

Crank

Answer:

Listeriosis is an infection caused by the bacteria Listeria monocytogenes. People become infected by eating foods contaminated with the bacteria. Listeria may infect many different sites in the body, such as the brain, spinal cord membranes, or the bloodstream

Step-by-step explanation:

People with invasive listeriosis usually report symptoms starting 1 to 4 weeks after eating food contaminated with Listeria

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