Will mark brainlist if correct. SIN (C)=

Answer:

320 girls

Step-by-step explanation:

We can make an algebric equation for this:

5x=900

x=180

We are asked to find the girls so we have to multiply the girls ratio by our x value we just found.

4x=4x180=320 girls

Answer:

∠P = 21

Step-by-step explanation:

angle P is an inscribed angle and arc RQ is the arc it intercepts

The measure of an inscribed angle is equal to half the measure of the arc it intercepts.

Hence, ∠P = [tex]\frac{1}{2}[/tex] ( arc RQ )

So if arc RQ = 42°

Then ∠P = 42/2

42 / 2 = 21

Hence, ∠P = 21°

Answer:

1) For [tex]a = 1[/tex]: [tex]b = 6[/tex] and [tex]k = 6[/tex], 2) For [tex]a = 3[/tex]: [tex]b = 4[/tex] and [tex]k = 12[/tex]

Step-by-step explanation:

The polynomial [tex]y = x^{2} - 7\cdot x + k[/tex] is a second-order polynomial of the form [tex](x-a)\cdot (x-b) = x^{2}-(a+b)\cdot x + a\cdot b[/tex]. By direct comparison, we construct the following system of equations:

[tex]a + b = 7[/tex] (1)

[tex]a\cdot b = k[/tex] (2)

By (1) we know that there are a family of pairs such that the system of equations is satisfied. Let suppose that both [tex]a[/tex] and [tex]b[/tex] are integers. We assume two arbitrary integers for [tex]a[/tex]:

1) [tex]a = 1[/tex]

[tex]b = 7 - a[/tex]

[tex]b = 6[/tex]

[tex]a\cdot b = k[/tex]

[tex]k = (6)\cdot (1)[/tex]

[tex]k = 6[/tex]

2) [tex]a = 3[/tex]

[tex]b = 7 - a[/tex]

[tex]b = 4[/tex]

[tex]a\cdot b = k[/tex]

[tex]k = (3)\cdot (4)[/tex]

[tex]k = 12[/tex]

The standard form of the polynomial is written as:

p(x) = 3*x^3 - 6*x^2 - 3x + 6

We know that a polynomial of degree N is with the zeros {x₁, x₂, ...} and a leading coefficient a can be written as:

p(x) = a*(x - x₁)*(x - x₂)*...*(x - xₙ)

In this case, we know that the leading coefficient is 3, and the zeros of the polynomial are {-1, 1, 2}

Then we can write:

p(x) = 3*(x + 1)*(x - 1)*(x - 2)

Now we need to expand that, we will get:

p(x) = 3*(x + 1)*(x - 1)*(x - 2)

p(x) = 3*(x^2 + 1*x + x*(-1) + 1*(-1))*(x - 2)

p(x) = 3*(x^2 - 1)*(x - 2)

p(x) = 3*(x^3 + x^2*(-2) - x + 2)

p(x) = 3*x^3 - 6*x^2 - 3x + 6

That is the polynomial in standard form.

Learn more about polynomials:

https://brainly.com/question/4142886

#SPJ1

Answer:

1⅕

Step-by-step explanation:

it shows a whole box filled so that means it's a whole

the next box only has one out of five filled so it's ⅕

1⅕

Answer:

A. (7,8,9)

Step-by-step explanation:

A. If, 7^2+8^2=9^2, then it is a pythagorean triplet.

But, 49+64 is not equal to 81.

Hence, the first trio is not a pythagorean triplet.

Answer: (−1,−812)

How to: Rewrite in vertex form and use this form to find the vertex ( h , k ) .

Have a great day and stay safe !

Answer:

[tex]f(x) = -2x^3 -5x^2 +4x -2\\option 1 : x+2 \\f(-2) = -2(-2)^3 -5(-2)^2 +4(-2)-2 = 16 -20-8-2= -14\\\\\\option 2: x+3\\f(-3) = -2(-3)^3 -5(-3)^2 +4(-3) - 2 = 54 -45 -12-2 = -5\\\\option 3: x-2\\f(2) = -2(2)^3-5(2)^2-4(2)-2=-16 -20-8-2=-46\\\\option4 :x-3\\f(3) = -2(3)^3 - 5(3)^2-4(3)-2 = -54-45-12-2=-113\\[/tex]

option 1: x + 2

Answer:

The total weight is 5kg

Step-by-step explanation:

Given

See attachment for box plot

Required

Determine the total weight of the kitten

First, we represent the plot in the following table where the number of dots represent the frequency.

So, we have:

[tex]Weight \to Frequency[/tex]

[tex]\frac{1}{2} \to 3[/tex]

[tex]1 \to 2[/tex]

[tex]1\frac{1}{2} \to 1[/tex]

[tex]2 \to 0[/tex]

[tex]2\frac{1}{2} \to 0[/tex]

Multiply the weight by the frequency, then add up the result

So, we have:

[tex]Total = \frac{1}{2} * 3 + 1 * 2 + 1\frac{1}{2} * 1 + 2 * 0 + 2\frac{1}{2} * 0[/tex]

[tex]Total = 1\frac{1}{2} + 2 + 1\frac{1}{2} + 0 + 0[/tex]

[tex]Total = 1\frac{1}{2} + 2 + 1\frac{1}{2}[/tex]

Express as improper fraction

[tex]Total = \frac{3}{2} + 2 + \frac{3}{2}[/tex]

Take LCM

[tex]Total = \frac{3+4+3}{2}[/tex]

[tex]Total = \frac{10}{2}[/tex]

[tex]Total = 5kg[/tex]

Answer:

See the matching below

Step-by-step explanation:

Given data

We have two expressions to match

3 * 9 and 2x3x9

3 * 9= 9*3

3 * 9=3*(4+5)

2x3x9= (2*3)*9

2x3x9= 9*3*2

Answer:

Step-by-step explanation:

Answer: The probability of it is 1/6

Step-by-step explanation:

Answer: 0.001

Step-by-step explanation:

Given

The lock has 3 dials, each with the number 0 through 9.

The first place can be filled in 10 ways and the probability of selecting number '4' out of the 10 is  [tex]\frac{1}{10}[/tex]

Similarly for selecting '3' and '9' is also [tex]\frac{1}{10}[/tex]

Therefore the probability of getting a combination of 4-3-9 is

[tex]\Rightarrow P=\dfrac{1}{10}\times \dfrac{1}{10}\times\dfrac{1}{10}\\\\\Rightarrow P=\dfrac{1}{1000}\\\\\Rightarrow P=0.001[/tex]

Answer:

An obtuse isosceles triangle

Step-by-step explanation:

Obtuse triangles always have one large angle that is bigger than 90 degrees and two smaller angles.

An isosceles triangle always has two sides that are the same length.

Answer:

obtuse isosceles triangle

Step-by-step explanation:

trust me bro

Answer:

The equation is y=6x

Y

Step-by-step explanation:

Answer:

36 miles

Step-by-step explanation:

18 + 18 = 36

I didn't get a lot of information so my apologies if wrong.

Answer:

Joan<18

Step-by-step explanation:

These symbols indicate the following:

< less than

> greater than

= equal to

If Joan ran less than 18 miles, you must write the inequality just as you would say it. Therefore, Joan < 18 is the correct inequality.

Answer:

Supplementary!

Answer:

Complementary I believe.

correct me if I’m wrong

if not adjacent

Answer:

x=2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

➜-2x+4=0

➜-2x=-4

➜2x=4

➜x=4/2

➜x=2

Answer:

7.1 meters

Step-by-step explanation:

Use the pythagorean theory:

10 would be the hypotenuse

7 would be one of the legs

and x (or whatever variable you'd like) would be the other leg.

7^2+x^2=10^2

49+x^2=100

subtract 49 from both sides

x^2=51

take the square root on both sides

x is approximately 7.1

Answer:

x= 17/5

Step-by-step explanation:

Answer:

17/5

Step-by-step explanation:

hope this helps with the work

Answer:

5.x^8.y^3

Step-by-step explanation:

15.x^10.y^5.z^2 ÷ 3.x^2.y^2.z^2

= 15/3. x^(10-2). y^(5-2). z^(2-2)

= 5.x^8.y^3.z^0

= 5.x^8.y^3

[tex]\\ \rm\hookrightarrow \dfrac{15x^{10}y^5z^2}{3x^2y^2z^2}[/tex]

[tex]\\ \rm\hookrightarrow 5x^{10-2}y^{5-2}z^{2-2}[/tex]

[tex]\\ \rm\hookrightarrow 5x^8y^3[/tex]

Option B has type error or none of the above

Answer:

I think its 2/2 or 1????

Answer:

The equation is [tex](x - 2)^2 + (y + 7)^2 = 9[/tex]

Step-by-step explanation:

Answer:

The object is moving at a constant speed

Step-by-step explanation:

Answer:

Step-by-step explanation:

¿A qué se llamó feudalismo? ¿Dónde y cuándo se desarrolló?

Answer:C the students were amounting to almost nothing in theater a

Step-by-step explanation: