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2 years ago

Find the exact value of x.

Mathematics

1 answer:

frozen [14]2 years ago

8 0

Answer:

9*√3

Step-by-step explanation:

The exact value of Sin60 = √3/2

Sin(60) = opposite side/ hypotenuse

hypotenuse = 18

√3/2 = x / hypotenuse

√3 / 2 = x / 18 multiply by 18

18 √3 /2 = x divide by 2

9 √3 = x

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There are 35 more musicians in the String section of a city Symphony Orchestra than in its Brass section. There are 29 musicians

Delicious77 [7]

35 - 29 = 6. 6+29+35 = 70
70 in the string and brass sections of the Symphony Orchestra.

5 0

3 years ago

A blimp provides aerial tv views of a soccer game. The camera sights the stadium at a 7 degree angle of depression. The altitude

maria [59]

Given that,

The camera sights the stadium at a 7 degree angle of depression.

The altitude of the blimp i slide 300 m.

To find,

The line of sight distance from the camera to the stadium.

Solution,

If we consider a right angled triangle. Let x is its hypotenuse i.e. the line of sight distance from the camera to the stadium. Using trigonometry :

$\sin\theta=\dfrac{P}{x}\\\\x=\dfrac{P}{\sin\theta}\\\\=\dfrac{300}{\sin7}\\\\=2461.65\ m$

So, the line of sight is at a distance of 2461.65 m from the camera to the stadium.

6 0

2 years ago

Simplify this exponential expression:<br><br> (-49) 2/5

ioda

Answer:

I think it is 12 4/5

Step-by-step explanation:

hope this helps if not let me now

4 0

2 years ago

Tallulah's family took a road trip to the Grand Canyon. Tallulah slept for the last 129 miles of the trip. If the total length o

KIM [24]

Answer:

43% of the trip

Step-by-step explanation:

1. Create an Equation

300 miles/100*x percent=129 miles <=== Make an equation so you can find the percent she slept of the trip

2. Solve

300 miles/100*x percent=129 miles

3x=129 <=== 300 divided by 100 is 3 and 3 times x is also 3x

3x/3=129/3 <=== divide by 3 from both sides

x=43

Since x is 43 that means 129 equals 43% which is how much Tallulah slept

of the trip.

3. Check

300 miles/100*43%=129 miles <=== Substitute x with 43%

3x43%=129

129=129 <=== 129 is 129 which means that the answer is correct!

Please Brainliest I am trying to level Up.

8 0

2 years ago

Amy is pulling a wagon with a force of 30 pounds up a hill at an angle of 25°. Give the force exerted on the wagon as a vector a

Fofino [41]

Answer:

Vector (ordered pair - rectangular form)

$\vec F = (27.189,12.679)\,[lbf]$

Vector (ordered pair - polar form)

$\vec F = (30\,lbf, 25^{\circ})$

Sum of vectorial components (linear combination)

$\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]$

Step-by-step explanation:

From statement we know that force exerted on the wagon has a magnitude of 30 pounds-force and an angle of 25° above the horizontal, which corresponds to the +x semiaxis, whereas the vertical is represented by the +y semiaxis.

The force ( $\vec F$ ), in pounds-force, can be modelled in two forms:

Vector (ordered pair - rectangular form)

$\vec F = \left(\|\vec F\|\cdot \cos \theta, \|\vec F\|\cdot \sin \theta\right)$ (1)

Vector (ordered pair - polar form)

$\vec F = \left(\|\vec F\|, \theta\right)$

Sum of vectorial components (linear combination)

$\vec {F} = \left(\|\vec F\|\cdot \cos \theta\right)\cdot \hat{i} + \left(\|\vec F\|\cdot \sin \theta \right)\cdot \hat{j}$ (2)

Where:

$\|\vec F\|$ - Norm of the vector force, in newtons.

$\theta$ - Direction of the vector force with regard to the horizontal, in sexagesimal degrees.

$\hat{i}$ , $\hat{j}$ - Orthogonal axes, no unit.

If we know that $\|\vec F\| = 30\,lbf$ and $\theta = 25^{\circ}$ , then the force exerted on the wagon is:

Vector (ordered pair - rectangular form)

$\vec F= \left(30\cdot \cos 25^{\circ}, 30\cdot \sin 25^{\circ}\right)\,[lbf]$

$\vec F = (27.189,12.679)\,[lbf]$

Vector (ordered pair - polar form)

$\vec F = (30\,lbf, 25^{\circ})$

Sum of vectorial components (linear combination)

$\vec F = (30\cdot \cos 25^{\circ})\cdot \hat{i} + (30\cdot \sin 25^{\circ})\cdot \hat{j}\,[N]$

$\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]$

8 0

2 years ago