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bezimeni [28]
3 years ago
12

Which number produces a rational number when you multiplied by 0.5

Mathematics
1 answer:
strojnjashka [21]3 years ago
8 0
2

Hope I helped!

Let me know if you need anything else!

<span>~ Zoe (Rank:'Genius')</span>
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A 51-foot wire running from the top of a tent pole to the ground makes an angle of 58° with the ground. If the length of the ten
AfilCa [17]

Answer:

<em>35.11 ft</em>

<em></em>

Step-by-step explanation:

This given situation can be thought of as triangle \triangle PQR where PQ is the length of pole.

PR is the length of rope.

and QR is the distance of bottom of pole to the point of fastening of rope to the ground.

And \angle Q \neq 90^\circ

Given that:

PQ = 44 ft

PR = 51 ft

\angle R = 58^\circ

To find:

Side QR = ?

Solution:

We can apply Sine Rule here to find the unknown side.

Sine Rule:

\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}

Where  

a is the side opposite to \angle A

b is the side opposite to \angle B

c is the side opposite to \angle C

\dfrac{PR}{sinQ}=\dfrac{PQ}{sinR}\\\Rightarrow sin Q =\dfrac{PR}{PQ}\times sinR\\\Rightarrow sin Q =\dfrac{51}{44}\times sin58^\circ\\\Rightarrow \angle Q =79.41^\circ

Now,

\angle P +\angle Q +\angle R =180^\circ\\\Rightarrow \angle P +58^\circ+79.41^\circ=180^\circ\\\Rightarrow \angle P = 42.59^\circ

Let us use the Sine rule again:

\dfrac{QR}{sinP}=\dfrac{PQ}{sinR}\\\Rightarrow QR =\dfrac{sinP}{sinR}\times PQ\\\Rightarrow QR =\dfrac{sin42.59}{sin58}\times 44\\\Rightarrow QR = 35.11\ ft

So, the answer is <em>35.11 ft</em>.

3 0
3 years ago
Which equation is equivalent to log3(x+5)=2
Lisa [10]
In exponential form: 10^2=3(x+5)
If we were to solve, x=85/3
7 0
3 years ago
Read 2 more answers
Write the equation of the line that is parallel to y = -2x - 9 and passes through the point (-2,-4).
Cloud [144]

Answer:  y=-2x-8

 

Step-by-step explanation:

Parallel lines need to have the same slopes but different y-intercept.

y=-2x -9 is parallel to y=-2x - 8

7 0
3 years ago
Anwser both of them please
eimsori [14]
The rectangle on the right is 81 and the rectangle on the left is 24. I don't really know about the second one sorry, but I hope this helped.
4 0
3 years ago
Using the Law of Detachment, find the conclusion for the following: If two triangles are similar, then their corresponding angle
Savatey [412]

Answer:

∠ABC ≅ ∠XYZ

Step-by-step explanation:

Given: ΔABC is similar to ΔXYZ.

If two triangles are similar, then

1. the corresponding angles are congruent

2. the corresponding sides are proportional

From the options given,

AB ≅ XY is not applicable for similar triangles. Hence the option is wrong.

∠ABC ≅ ∠XYZ since  ΔABC ≅ ΔXYZ

Hence the answer is ∠ABC ≅ ∠XYZ

4 0
3 years ago
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