Given that r = 8 cm, find the area of sector ROS.
S
O
O 47cm2
O 167cm2
O 87cm
O2ncm
HELP
PLEASE

Answer:

the answer is -1 1/8

Step-by-step explanation:

-3/8 ÷-1/3

= -3/8×3/-1

= -3 × 3

  8 × -1

= 9/8

= -1 1/8

Given:

[tex](3x+7)^2[/tex] is subtracted from 3.

To find:

The result of the given statement in the standard form of the polynomial.

Solution:

We need to find the result when [tex](3x+7)^2[/tex] is subtracted from 3.

So, the resulted polynomial can be written as:

[tex]P(x)=3-(3x+7)^2[/tex]

On simplification, we get

[tex]P(x)=3-((3x)^2+2(3x)(7)+(7)^2)[/tex]               [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]

[tex]P(x)=3-(9x^2+42x+49)[/tex]

[tex]P(x)=3-9x^2-42x-49[/tex]

[tex]P(x)=-9x^2-42x-46[/tex]

Therefore, the resulted polynomial in standard form is [tex]-9x^2-42x-46[/tex].

Answer:

[tex] \displaystyle \begin{cases} \displaystyle {x} _{1} = - p \\ \displaystyle x _{2} = - q \end{cases}[/tex]

Step-by-step explanation:

we would like to solve the following equation for x:

[tex] \displaystyle \frac{1}{p} + \frac{1}{q} + \frac{1}{x} = \frac{1}{p + q + x} [/tex]

to do so isolate [tex]\frac{1}{x}[/tex] to right hand side and change its sign which yields:

[tex] \displaystyle \frac{1}{p} + \frac{1}{q} = \frac{1}{p + q + x} - \frac{1}{x} [/tex]

simplify Substraction:

[tex] \displaystyle \frac{1}{p} + \frac{1}{q} = \frac{x - (q + p + x)}{x(p + q + x)} [/tex]

get rid of only x:

[tex] \displaystyle \frac{1}{p} + \frac{1}{q} = \frac{ - (q + p )}{x(p + q + x)} [/tex]

simplify addition of the left hand side:

[tex] \displaystyle \frac{q + p}{pq} = \frac{ - (q + p )}{x(p + q + x)} [/tex]

divide both sides by q+p Which yields:

[tex] \displaystyle \frac{1}{pq} = \frac{ -1}{x(p + q + x)} [/tex]

cross multiplication:

[tex] \displaystyle x(p + q + x) = - pq[/tex]

distribute:

[tex] \displaystyle xp + xq + {x}^{2} = - pq[/tex]

isolate -pq to the left hand side and change its sign:

[tex] \displaystyle xp + xq + {x}^{2} + pq = 0[/tex]

rearrange it to standard form:

[tex] \displaystyle {x}^{2} + xp + xq + pq = 0[/tex]

now notice we end up with a quadratic equation therefore to solve so we can consider factoring method to use so

factor out x:

[tex] \displaystyle x( {x}^{} + p ) + xq + pq = 0[/tex]

factor out q:

[tex] \displaystyle x( {x}^{} + p ) +q (x + p)= 0[/tex]

group:

[tex] \displaystyle ( {x}^{} + p ) (x + q)= 0[/tex]

by Zero product property we obtain:

[tex] \displaystyle \begin{cases} \displaystyle {x}^{} + p = 0 \\ \displaystyle x + q= 0 \end{cases}[/tex]

cancel out p from the first equation and q from the second equation which yields:

[tex] \displaystyle \begin{cases} \displaystyle {x}^{} = - p \\ \displaystyle x = - q \end{cases}[/tex]

and we are done!

Answer:

y = -5x + 2

Step-by-step explanation:

y = -5x + b

2 = -5(0) + b

2 = 0 + b

b = 2

y = -5x + 2

Answer:

where is the diagram for the question??

Answer:

answer: 9/40

Step-by-step explanation:

18 ÷ 2 = 9 and 80 ÷ 2 = 40 and you can't go any further so 9/40 is the answer.

Answer:

B??

Step-by-step explanation:

It is a little hard to understand because of hot it looks, BUT 300-225 is 75, 225-150=75, 150-75=75,75-70=75

Answer:

a 41

when the line touch the circle you have to take the half of it

for b its equal 144

the full circle degree is 360

so we can say the 82+2x=360

because the two lines in the circle equal each other so its means tha the Piece of the circle in the left is equal b too

hopefully its helpful and sorry because of my engilish

Answer:

16.03

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the slope formula=

y2-y1 / x2-x1

the answer is

(-1,8)

Answer:

We are 95% confident that the proportion of American voters who favor congressional term limits is 64 percent with a difference of 3% for small sample size.

Step-by-step explanation:

95 % confidence means that we are 95 % confident that the the proportion of American voters who favor congressional term limits is 64 percent.

95 % confidence  means that of all the sample about 95 %  values are within in the given range.

And only 5% sample are not included in the given parameter.

Margin of error is the amount of miscalculation or difference in change of circumstances from the obtained data.

3% margin of error usually occurs when the data size is small.

As the data size increases the margin of error decreases.

So this statement tells us that we are 95% confident that the proportion of American voters who favor congressional term limits is 64 percent with a difference of 3% for small sample size.

Margin of error= z *σ/√n→

This indicates that as the sample size decreases the margin of error increases and vice versa.

Answer: (b)

Step-by-step explanation:

Given

R is inversely proportional to A i.e

[tex]R\propto \dfrac{1}{A}\\\\R=\dfrac{C}{A}\quad [\text{C=Constant}][/tex]

when [tex]R=4,\ A=100[/tex]

Insert the values to get C

[tex]\Rightarrow 4=\dfrac{C}{100}\\\\\Rightarrow C=400[/tex]

When A=250

[tex]\Rightarrow R=\dfrac{400}{250}\\\\\Rightarrow R=1.6[/tex]

option (b) is correct

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]

Answer:

32 ounces........

..

Step-by-step explanation:

Answer:

maybe 3(5+x)

Step-by-step explanation:

I don't know if this is what you're looking for but if you factor the expression that is what you would get. It is something equivalent.

Answer:

It is false because the example shown is using conduction as the transfer of heat since it's using direct contact.

Answer:

x=10.04

Step-by-step explanation:

let the triangle sides to be ABC, given <A=90, <B=42 &<C=?

find angle C first

<A+<B+<C=180

90+42+<C=180

<C=180-132

<C=42°

Now use sine rule to find the value of X

a/sinA =c/sinC. where, small letters is equal to sides and capital letters is equal to angles. a=15. c=x

A=90. C=42

15/sin90°=x/sin42°

cross multiply

15*sin42°=x*sin90°

make x subject of the formula

x=(15*sin42°)/sin90°

x=10.04

Answer: y=37.5degrees and x=110degrees

Step-by-step explanation: sum of angle in a quadrilateral =360 and opposite angles=180. 115+2y=180,2y=180-115=75. 2y/2=75/2. therefore y=37.5. while x=70+x=180,x=180-70=110. x=110

Answer:

C

Step-by-step explanation:

Answer:

C) There are infinitely many solutions since -5=-5 is a true statement.

Step-by-step explanation:

88 because you multiply 66 by 8 then divide by 6 and you get 88

Answer:

88

Step-by-step explanation:

6:8=66:x

66×6=528

528=6x

x=88

Answer: (7) I think

Step-by-step explanation:

Answer:

x = -14

Step-by-step explanation:

-9 -5 = -14

Answer:

x-intercepts = -4 and 2

vertex (-1, -9)

Step-by-step explanation:

To find the x-intercepts ie roots

set the equation to 0

(x - 2) (x + 4) = 0

From the zero product rule

x - 2 = 0

x = 2

x + 4 = 0

x = -4

x-intercepts = -4 and 2

--------------------------

The x coordinate of the vertex is the midpoint of the roots

x = (-4 + 2)/2

x = -1

Plug x = -1 into the function

y = (-1 - 2)(-1 + 4)

y = -3 * 3

y = -9

vertex (-1, -9)

Answer:

You can explore a variety of things in Alaska. There are so many activities you could do such as visiting museums and hiking and tons more. The thing about this is that it is out in the wilderness which makes it more exciting and cooler to see nature more than it does in new zealand. The climate can be pretty chilly in Alaska but it is way much fun to see tons of glaciers. New zealand has eathquakes frequently whilst Alaska doesn't.

Answer:

(1) The ordered pairs must lie on the graphed equation

The best description of the solutions of a two-variable equation should be the ordered pairs that lies on the graphed equation.

The graph of a linear equation with respect to the  two variables refers to a line. In the case when the equation should be considered as the linear so here we can determined the two solutions also plot the two points and then line should be drawn linked them.

Therefore, we can conclude that the first option is correct.

Learn more about equation here: https://brainly.com/question/13354141

Answer:

2^4=16

Step-by-step explanation:

2^4 is equal to 2x2x2x2 which is equal to 4x2x2 which is equal to 8x2 which is equal to 16. Therefore, 2^4 is equal to 16.

If this has helped you please mark as brainliest

Answer:

1.5

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

its pretty simple- 1 + 1 = 2 .5 + .5 = 1 2 + 1 = 3

Answer:

no

Step-by-step explanation:

it's X= 0.5

group like terms

3x - 5x = 6 - 2 - 5

simplify the equation

-2x = -1

divide through by the coefficient of X

x = 0.5

Answer:

A) The total length of each edging in her scale drawing would be 19.2 centimeters.

B) Square or rectangle

C) angle  α= 53.13 degrees

angle β=  36.87 degrees

height=  32 inches

base= 24 inches

hypotenuse 40 inches.

Step-by-step explanation:

Part A:

If the roll edging is 96 inches long and the scale chosen is

5inches = 1 cm

96inches /5= 19.2cm

The total length of each edging in her scale drawing would be 19.2 centimeters.

Part B:

The quadrilaterals such rectangle square right  trapezoid have a pair of 90 degrees angles.

If we choose a square shape then all sides must be equal. And we have a length of 19.2 centimeters.

Dividing 19.2 by 4  gives 4.8 cm for each side.

Figure A  shows a square and has 4 sides equal and 4 right angles.

If we choose a rectangle shape then 2 sides must be equal. We have a length of 19.2 centimeters.

Suppose the length is 2 times more than the width

which will give the dimensions as

2*2 x+ 2x= 6x   ( length and width denoted by x)

Dividing 19.2 by 6  gives 3.2 cm for each width and  6.4 for the lengths.

Figure B shows a rectangle  and has 2 sides equal and 4 right angles.

It depends on which quadrilateral you wish to choose.

Part C:

Using Pythagorus theorem if the base and altitude are given then the hypotenuse can be found out using the following formula.

c²= a² +b²

c²= 6.4² +4.8²

c²= 40.96+23.04= 64

c= √64 = 8

The third side must be equal to 8 centimeters.

Using the formula

Cos α= base / hypotenuse

Cos α=4.8/8

α= Cos (inverse) 4.8/8

α= Cos (inverse) 0.6

α= 53.13 degrees

So angle α= 53.13 degrees

All the angles in the triangle must be 180 degrees.

α + β +  90°= 180°

And angle β= 180-90-53.13= 36.869= 36.87 degrees

The actual dimensions of this triangle are

height= a= 6.4* 5= 32 inches

base= b= 4.8*5= 24 inches

hypotenuse= 8*5= 40 inches.

Answer:

D

Step-by-step explanation: