Ask question

Ask question

All categories

just olya [345]

2 years ago

13

Find m∠U. Write your answer as an integer or as a decimal rounded to the nearest tenth.

1 answer:

galina1969 [7]2 years ago

6 0

Answer:

Answer:

50.2

Step-by-step explanation:

$ut = \sqrt{ {6}^{2} + {5}^{2} } \\ \sqrt{36 + 25} \\ \sqrt{61 } \\ using \: cosine \: rule \\ cos \: u = \frac{ {5}^{2} + 61 - 36 }{2 \times 5 \times \sqrt{61} } \\ \\ = \frac{25 + 61 - 36}{78} \\ \\ = \frac{50}{78 } \\ \cos \: u = 0.64 \\ m \:u = 50.2$

You might be interested in

The yard behind the Cindy’s house is rectangular in shape and has a perimeter of 72 feet. If the length l of the yard is 18 feet

PtichkaEL [24]

Let
L----------> <span>the length of the yard
W--------> </span><span>the width l of the yard

we know that
the perimeter is equal to
</span> $P=2*[W+L]$
$72=2*[W+L] \\ 36=W+L$ --------> equation 1
$L=W+18$ ------> equation 2
<span>substitute equation 2 in equation 1
</span> $36=W+18+W \\ 36=2W+18 \\ W=(36-18)/2$
$W=9 ft$
$L=W+18 \\ L=9+18 \\ L=27 ft$
<span>
we know that
Area of the rectangular yard is equal to
</span> $A=L*W \\ A=27*9 \\ A=243 ft^{2}$ <span>

</span>

4 0

3 years ago

Read 2 more answers

Simplify the expression 4x(2x2 − 7x + 3).<br> This one is killing me..

Papessa [141]

$Use:\\distributive\ property:a(b+c)=ab+ac\\commutative\ property:a\cdot b=b\cdot a\\assiocative\ property:a\cdot(b\cdot c)=(a\cdot b)\cdot c\\and\ a^n\cdot a^m=a^{n+m}\\-----------------------\\\\4x(2x^2-7x+3)=(4x)(2x^2)+(4x)(-7x)+(4x)(3)\\\\=(4\cdot2)(x^1\cdot x^2)-(4\cdot7)(x^1\cdot x^1)+(4\cdot3)(x)\\\\=8x^{1+2}-28x^{1+1}+12x\\\\=\boxed{8x^3-28x^2+12x}$

5 0

3 years ago

In a fish tank 2/5 of the fish are sturgeon of these 3/4 are yellow tail. What is the total number of yellow tail in the tank

Oduvanchick [21]

Answer:

0.3

Step-by-step explanation:

Use a calculator

4 0

2 years ago

A group of retailers will buy 104 televisions from a wholesaler if the price is $300 and 144 if the price is $250. The wholesale

stepladder [879]

Answer:

The required equilibrium point is (356.538,58.769)

Step-by-step explanation:

The two points on your demand equation are : (300,104) and (250,144)

Take the number of televisions on y-axis and the price of the television on x-axis

Now, to find the demand equation for the given problem, find slope using the above two points :

$\implies Slope=\frac{144-104}{250-300}\\\\\implies Slope = -\frac{4}{5}=-0.8$

And the y - intercept is : y = -0.8x + b

Find the value of b using any point. Let us take (250,144)

144 = -0.8 × 250 + b

⇒ b = 144 + 200

⇒ b = 344

So, the y-intercept is : y = -0.8x + 344

The two points on your supply equation are : (225,88) and (315,68)

Take the number of televisions on y-axis and the price of the television on x-axis

Now, to find the supply equation for the given problem, find slope using the above two points :

$\implies Slope=\frac{68-88}{315-225}\\\\\implies Slope = -\frac{2}{9}$

And the y - intercept is :

$y = -\frac{2}{9}x + b$

Find the value of b using any point. Let us take (225,88)

$88 = -\frac{2}{9}\times 225 + b\\\\\implies b = 88 + 50\\\\\implies b = 138$

So, the y-intercept is :

$y = -\frac{2}{9}x + 138$

To find the equilibrium point, solve both the y-intercepts of the demand equation and the supply equation :

⇒ x = 356.538 and y = 58.769

Hence, the required equilibrium point is (356.538,58.769)

8 0

2 years ago

If the sin 90° is 1, then the cos ____ °= _____.

borishaifa [10]

Maybe:
Cos90=0
I’m not sure of the question here

5 0

3 years ago

Read 2 more answers