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Artemon [7]
3 years ago
6

Michael owns dogs hamsters and fish in the ratio 2:3:6 he has 2 more hamsters than dogs how many fish does Michael have

Mathematics
1 answer:
IRISSAK [1]3 years ago
8 0
12 because 6 is 2 more than 4 which means you would have to add everything by themselves so 2 would be 4 3 would be 6 and 6 would be 12
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A pole 5 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After pl
sammy [17]

The length of the guy's wire to the nearest foot is 89 feet.

The situation forms a right-angled triangle.

<h3>Properties of a right angle triangle:</h3>
  • A right-angle triangle has one angle of 90 degrees.
  • The sides can be found using the Pythagoras theorem.
  • The angles can be found using trigonometric ratios.

The hypotenuse of the triangle is the length of the wire.

let's use the smaller triangle to find the angle opposite the tower. Therefore,

tan ∅ = opposite / adjacent

tan ∅ =  5 / 2

∅ = tan⁻¹ 2.5

∅ = 68.1985905136

∅ = 68.20°

Therefore,

cos 68.20 = adjacent / hypotenuse

cos 68.20 = 33 / hypotenuse

hypotenuse = 33 / cos 68.20

hypotenuse = 88.8606843161

Therefore,

length of wire ≈ 89 feet.

learn more on triangles here; brainly.com/question/25762788?referrer=searchResults

4 0
2 years ago
The vertices of a triangle are p(3,7) Q(7,-6) R(-8,7). Name the vertices of the image reflected across the x axis
pantera1 [17]

Answer:

<em>P'(3,-7) Q'(7,6) R'(-8,-7).</em>

Step-by-step explanation:

<u>Reflection across the x-axis</u>

Given a point P(x,y), its reflection across the x-axis will map to point P'(x,-y), i.e., the y-coordinate gets inverted.

We are given the vertices of a triangle P(3,7) Q(7,-6) R(-8,7). The vertices of the image reflected across the x-axis are:

P'(3,-7) Q'(7,6) R'(-8,-7).

The new triangle has vertices P'Q'R'.

6 0
3 years ago
Name two segments the represent radii.be sure to write the word segment and then use two letters to identify the radii
SCORPION-xisa [38]

Answer:

k

Step-by-step explanation:

3 0
3 years ago
A simple random sample of 64 observations was taken from a large population. The population standard deviation is 120. The sampl
jeka94

Answer:

<h3>The standard error of the mean is <u>15</u></h3>

Step-by-step explanation:

Given that a simple random sample of 64 observations was taken from a large population.

Hence it can be written as n=64

The population standard deviation is 120.

It can be written as \sigma_{\overline{X}}=120

The sample mean was determined to be 320.

It can be written as \overline{X}=\mu =320

<h3>To find the standard error of the mean :</h3>

The formula for the standard error of the mean is given by

\sigma_{\overline{X}}=\frac{\sigma}{\sqrt{n}}

Now substitute the values in the formula we get

\sigma_{\overline{X}}=\frac{120}{\sqrt{64}}

=\frac{120}{8}

=15

\sigma_{\overline{X}}=15

<h3>∴ The standard error of the mean is 15</h3>
3 0
3 years ago
143 divided by 7 puls [11-9]
agasfer [191]
143/7 + (11-9)
143/7 + 2
143/7 + 14/7
143+14/7
157/7
Alternative form 22 3/7
5 0
3 years ago
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