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4 years ago

∆JKL=∆QRSwhat is m<Q?enter you answer In the box

Mathematics

1 answer:

ololo11 [35]4 years ago

3 0

Answer:

38 degrees

Step-by-step explanation:

The two triangles are congruent, so do the following

1. Add 37 and 105 together

2. 37 + 105 = 142, subtract this from 180

3. This would amount to 38. So yeah.

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Hi, teacher I was absent these days and I didn’t understand anything about this lesson and I need help this is not count as a te

motikmotik

Given:

There are given that the cos function:

$cos210^{\circ}=-\frac{\sqrt{3}}{2}$

Explanation:

To find the value, first, we need to use the half-angle formula:

So,

From the half-angle formula:

$cos(\frac{\theta}{2})=\pm\sqrt{\frac{1+cos\theta}{2}}$

Then,

Since 105 degrees is the 2nd quadrant so cosine is negative

Then,

By the formula:

$\begin{gathered} cos(105^{\circ})=cos(\frac{210^{\circ}}{2}) \\ =-\sqrt{\frac{1+cos(210)}{2}} \end{gathered}$

Then,

Put the value of cos210 degrees into the above function:

So,

$\begin{gathered} cos(105^{\circ})=-\sqrt{\frac{1+cos(210)}{2}} \\ cos(105^{\operatorname{\circ}})=-\sqrt{\frac{1-\frac{\sqrt{3}}{2}}{2}} \\ cos(105^{\circ})=-\sqrt{\frac{2-\sqrt{3}}{4}} \\ cos(105^{\circ})=-\frac{\sqrt{2-\sqrt{3}}}{2} \end{gathered}$

Final answer:

Hence, the value of the cos(105) is shown below:

$cos(105^{\operatorname{\circ}})=-\frac{\sqrt{2-\sqrt{3}}}{2}$

4 0

1 year ago

Keisha pumped 6 gallons of water into her pool each minute for 48 minutes what was the total change in the amount of water in th

Eduardwww [97]

The total change in the amount of water in the pool is 288 gallons.

<h3>What is Volume?</h3>

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.

Here, Rate of water pumped into her pool = 6 gallons / minute.

Total Duration = 48 minutes

Total amount of water = Rate X Time

= 6 X 48

= 288 gallons

Thus, the total change in the amount of water in the pool is 288 gallons.

Learn more about Volume from:

brainly.com/question/1578538

#SPJ1

3 0

2 years ago

can someone help me?, I had the notes in my notebook but the notebook got full, so I threw it away not thinking I was gonna need

Natalija [7]

Step-by-step explanation:

hope this helps you

..................

5 0

3 years ago

Factorise:<br> 14x^2-10x+12

Oksana_A [137]

Answer:

14x^-10x+12+2=-140x+14

Step-by-step explanation:

Very simple. Just add/multiply the like terms, (14x^-10x & 12+2), and then you'll get the answer, but since 140x and 14 are not like terms, the answer stays as 140x+14.

6 0

3 years ago

Divide 56 in a ratio of 5:3

Goshia [24]

There are 5 "parts" and 3 "parts"; which total "8 parts" (5 + 3 = 8); so, each part must be 56/8 = 7. so each part must be 56/7 = 8
<span>5 x 7 is 35</span>
<span>3 x 7 is 21 </span>
___________
So the answer is 35:21 .

6 0

3 years ago

∆JKL=∆QRSwhat is m<Q?enter you answer In the box​

∆JKL=∆QRSwhat is m<Q?enter you answer In the box