All categories

3 years ago

Find the value of x: PLEASE HELP!! I need to show my work. Thank you!!!

Mathematics

1 answer:

MAVERICK [17]3 years ago

3 0

Answer:

x = 69

Step-by-step explanation:

360 - 208 = 152

x + 49 + 34 = 152

x + 83 = 152

x = 69

Hope this helps!

You might be interested in

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:

35.11 ft

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 35.11 ft.

3 0

3 years ago

For triangle ABC with sides a,b and c the law of cosines states

grigory [225]

Answer:

SAS

Step-by-step explanation:

Looking for the third side given the other two sides and the angle between them

c² = a² + b² - 2abcosC

6 0

3 years ago

Using the probability scale, what is the probability that a red cube will be drawn when a cube is selected from a bag that has 5

dmitriy555 [2]

Answer:

Step-by-step explanation:

Probability is calculated by divided the amount of something you have by the total amount. In this case, 5 red cubes by 10 total cubes to get .5. This falls into evens in your probability scale.

5 0

2 years ago

Read 2 more answers

It costs $3.56 to buy a pack of pencils. Which of the following equations shows the amount of money needed, x, to buy k packs of

FrozenT [24]

Well, since we know $3.65 is how much ONE PACK of pencil costs, and k represents the packs of pencils PURCHASED, and x represents the COST per pack, your answer would be A. x = 3.65k. This is because to find out the total cost (x) of k amount of packs, you would multiply the cost (3.65) times k, (known as 3.65k), which would be expressed as x = 3.65k. =)
Hope I helped! ^-^

6 0

3 years ago

Read 2 more answers

Please help logarithms!

nlexa [21]

Given:

$\log_34\approx 1.262$