5/8 of students choose blue, 5/9 of students choose green, 48 students chose red. how many students chose green and blue?

Find the length of STV in the figure.

o-na [289]

Answer: The length of STV is about 76.83 in.

Step-by-step explanation:

The length of an arc is given by :-

$l=\frac{\theta}{360^{\circ}}\times2\pi r$ , where r= radius of the cirle, $\theta$ is the central angke made by arc.

As per given , Radius of the circle : r= 20 in

Central angle of arc SCV = $140^{\circ}$

Then, Central angle of arc SCV = $360^{\circ}-140^{\circ}=220^{\circ}$

Then, the length of the arc STV =

$l=\frac{220^{\circ}}{360^{\circ}}\times2(\frac{22}{7}) (20)\\\\=\frac{11}{18}\times\frac{880}{7}\\\\=76.8253968254\approx76.83\text{ in.}$

Hence, the length of STV is about 76.83 in.

5 0

3 years ago

A rectangular prism and its dimensions are shown in the diagram.

Sergeu [11.5K]

Answer:

148.2

Step-by-step explanation:

LA= PH

P= 8.2+8.2+3.2+3.2=22.8 in

H= 6.5 in

PH= 22.8(6.5)= 148.2 in

8 0

2 years ago

Which function is a quadratic function? u(x) = –x 3x2 – 8 v(x) = 2x2 8x3 9x y(x) = x2 3x5 4 z(x) = 7x2 2x3 – 3.

Komok [63]

The function $u(x)=-x+3x^{2} -8$ is a quadratic function due to the highest exponent being 2.

Given functions are:

$u(x)=-x+3x^{2} -8$

$v(x)=2x^{2} +8x^3+9x$

$y(x)=x^{2} +3x^5+4$

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

<h3>What is a quadratic function?</h3>

A function of the form $f(x)=ax^{2} +bx+c$ with $a\neq 0$ is called a quadratic function means the highest exponent of polynomial should be 2.

Let us check one by one.

$u(x)=-x+3x^{2} -8$

Highest exponent =2

The function is also of form $f(x)=ax^{2} +bx+c$ so u(x) is a quadratic function.

The functions v(x), y(x), and z(x) are having highest exponents as 3,5, and 3 respectively so they are not quadratic functions.

Hence, the function $u(x)=-x+3x^{2} -8$ is a quadratic function due to the highest exponent being 2.

To get more about quadratic functions visit:

brainly.com/question/1214333

7 0

2 years ago

Need help with a system of equations

sweet [91]

Answer:

$\boxed{x - y = -2\sqrt{7}}$

Given:

$x + y = 4 \\ \\ {x}^{2} + {y}^{2} = 22 \\ \\ {x}^{4} = {y}^{4} - 176 \sqrt{7}$

Step-by-step explanation:

$= > {x}^{4} = {y}^{4} - 176 \sqrt{7} \\ \\ = > {x}^{4} - {y}^{4} = - 176 \sqrt{7} \\ \\ = > {( {x}^{2}) }^{2} - { ({y}^{2}) }^{2} = - 176 \sqrt{7} \\ \\ = > ( {x}^{2} + {y}^{2} )( {x}^{2} - {y}^{2} ) = - 176 \sqrt{7} \\ \\ = > ( {x}^{2} + {y}^{2}) (x + y)(x - y) = - 176 \sqrt{?} \\ \\ = > 22 \times 4(x - y) = - 176 \sqrt{7} \\ \\ = > 88(x - y) = - 176 \sqrt{7} \\ \\ = > x - y = - \frac{176 \sqrt{7} }{88} \\ \\ = > x - y = - 2 \sqrt{7}$