MATHEMATICS MIDDLE SCHOOL

Given right triangle XYZ, what is the value of tan(Y)?
Given right triangle XYZ, what is the value of tan(Y)? - 1

Answers

Answer 1
Answer:

Step-by-step explanation:

tanY= tan30° =

(1)/( √(3) )
Answer 2
Answer:

Applying the tangent ratio, the value of tan (Y) in the image given is: √3/3.

What is the Tangent Ratio?

The tangent ratio is: tan ∅ = opposite side / adjacent side

Using the tangent ratio, we have:

tan Y = 1/√3

Rationalize

tan Y = (1 × √3)/(√3 × √3)

tan Y = √3/√9

tan Y = √3/3

Learn more about the tangent ratio on:

brainly.com/question/4326804

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If Colorado Springs, Colorado, has 1.4 times more days of sunshine than Boston, Massachusetts, how many days of sunshine does each city have if there are a total of 475 days of sunshine between the two in a year?

Answers

Suppose, number of sunshine days in Boston, Massachusetts is: x

Then, number of sunshine days in Colorado Spring, Colorado will be: 1.4 x

Given that, total number of days of sunshine for both city is: 475

That is, x+1.4x = 475

Solving for x,

x=198

1.4x= 277

Therefore,

Number of sunshine days in Boston, Massachusetts is 198

and

Number of sunshine days in Colorado Spring, Colorado is 277

The scale size is 2cm:4m

Answers

I'm not sure which one is the scale size so i'll solve for both...

Ratio is 2cm:4m
0.02m:4m or 2cm:400cm also work as ratios

400cm/2cm=200 (so the scale is 200X smaller than the original)

Option 1::

If the scale of the item is:

l=12cm and w=6cm

then we can solve for the actual size by multiplying the values by 200

l=12cm*200=2400cm or 24m

w=6cm*200=1200cm or 12m

Option 2::

If the original item has a length of 12m and a width of 6m then:

l=12m and w=6m

We can find the scale length by dividing by 200

l=12m/200=.06m or 6cm

w=6m/200=0.03m or 3cm

Solve for X and Y 3x+(2 x-y)i = 6-3i

Answers

Answer:

x = 2 and y = 7

Step-by-step explanation:

\text{Two complex numbers are equal when they have equal real parts}\n\text{ and equal imaginary parts}\n\na+bi=c+di\iff a=c\ and\ b=d

3x+(2x-y)i=6-3i\iff3x=6\ \wedge\ 2x-y=-3\n\n3x=6\qquad\text{divide both sides by 3}\n\n\boxed{x=2}\n\n\text{Put the value of x to the second equation:}\n\n2(2)-y=-3\n\n4-y=-3\qquad\text{subtract 4 from both sides}\n\n-y=-7\qquad\text{change the signs}\n\n\boxed{y=7}

Rewrite one fourth times x cubed times y plus three fourths times x times y squared using a common factor.one fourth times x times y times the quantity x squared plus 3 times y end quantity
one fourth times x cubed times y squared times the quantity y plus 3 times x end quantity
one half times x times y times the quantity 2 times x squared plus 6 times y end quantity
one half times x times y times the quantity x squared plus 3 times y end quantity

Answers

Answer:

The expression "one fourth times x cubed times y plus three fourths times x times y squared" can be rewritten using a common factor. To do this, we need to identify the common factor in both terms.

In this case, the common factor is "x times y". We can factor out "x times y" from both terms and write the expression as follows:

one fourth times x times y times the quantity x squared plus 3 times y end quantity.

Let's break it down step by step:

1. The common factor in both terms is "x times y".

2. Factoring out "x times y" from the first term, "x cubed times y", we get "x times y times x squared".

3. Factoring out "x times y" from the second term, "three fourths times x times y squared", we get "3 times y".

4. Putting it all together, we get "one fourth times x times y times the quantity x squared plus 3 times y end quantity".

So the correct answer is:

one fourth times x times y times the quantity x squared plus 3 times y end quantity.

This expression represents the original expression with a common factor factored out.

Step-by-step explanation:

$69 shoes; 6% tax whats the total

Answers

73.14 $ knowing that the tax would be 4.14$, added to 69$ would be 73.14$
the total of the shoes would be 73.14

Suppose we have two stacks of 20 coins each, as shown in the figure. Which stack, the right cylinder or oblique cylinder, hasthe greater volume?
right
B)
oblique
they have the same volume
there is not enough information to tell

Answers

Answer:i think it's C they have the same volume

Step-by-step explanation:
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