All categories

2 years ago

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

Mathematics

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

What is 420/15 simplified to

Ghella [55]

So,

In order to simplify a fraction, we have to factor both the numerator and the denominator.
$\frac{420}{15} --\ \textgreater \ \frac{2*2*3*5*7}{3*5}$

Cross out ones.
$\frac{2*2*7}{1}\ or\ 28$

3 0

3 years ago

Read 2 more answers

A ball is thrown in the air from a height of 3 m with an initial velocity of 12 m/s. To the nearest tenth of a second, how long

stepladder [879]

Answer: 1.4 seconds

<u>Step-by-step explanation:</u>

The equation is: h(t) = at² + v₀t + h₀ where

a is the acceleration (in this case it is gravity)
v₀ is the initial velocity
h₀ is the initial height

Given:

a = -9.81 (if it wasn't given in your textbook, you can look it up)
v₀ = 12
h₀ = 3

Since we are trying to find out when it lands on the ground, h(t) = 0

EQUATION: 0 = 9.81t² + 12t + 3

Use the quadratic equation to find the x-intercepts

a=-9.81, b=12, c=3

$x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(12)\pm \sqrt{(12)^2-4(-9.81)(3)}}{2(-9.81)}\\\\\\x=\dfrac{-12\pm 16.2}{-19.62}\\\\\\x=\dfrac{-12+ 16.2}{-19.62}=-0.2\qquad x=\dfrac{-12- 16.2}{-19.62}=\large\boxed{1.4}\\$

Note: Negative time (-0.2) is not valid

4 0

3 years ago

What is the equation of the circle whose center and radius are given.

muminat

Hello!

The equation for a circle is

$(x - h)^{2} + ( y - k)^{2} = r^{2}$

(h,k) is the center
r is the radius

Put in the values you know

$(x - 7)^{2} + ( y + 3)^{2} = 7^{2}$

Simplify

$(x - 7)^{2} + ( y + 3)^{2} = 49$

The equation is $(x - 7)^{2} + ( y + 3)^{2} = 49$

Hope this helps!

5 0

2 years ago

Read 2 more answers

Which of the following is true about the function shown below?

Reil [10]

Answer:

Step-by-step explanation:

d is true

5 0

3 years ago

The sum of three consecutive odd integers is 195. Find the three integers.

Anettt [7]

Good afternoon,

x= first odd integer
x+2 = second odd integer
x+4= third intenger

The sum of the trhree integer is 195, so:

x + (x+2) + (x+4) = 195
3x = 195 - 4 - 2
3x=189
x= 63

Then the Answer is: 63, 65 and 67

8 0

3 years ago

Read 2 more answers