-12 to the power of -2

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Explanation:

The sine ratio involves the opposite side over the hypotenuse

For reference angle E, the opposite side is the unknown vertical side, which we'll call x for now.

The known leg is 99 and the known hypotenuse is 101. We'll use these two bits of info to find x. Apply the pythagorean theorem:

a^2 + b^2 = c^2

x^2 + 99^2 = 101^2

x^2 + 9801 = 10201

x^2 = 10201-9801

x^2 = 400

x = sqrt(400)

x = 20

The missing vertical side of the triangle is 20 units. Now we can apply the sine ratio to find sin(E)

sin(angle) = opposite/hypotenuse

sin(E) = 20/101

This fraction cannot be reduced further. This is because 20 = 2*2*5, and neither 2 nor 5 is a factor of 101.

Answer:

The following outlines a general guideline for factoring polynomials:

Check for common factors. If the terms have common factors, then factor out the greatest common factor (GCF).

Determine the number of terms in the polynomial. ...

Look for factors that can be factored further.

Check by multiplying.

GOODLUCK

Answer:

DF≅YZ

angle R≅angle N

XW≅TH

angle M ≅angle C

new coordinate=(2,1)

new coordinate=(0,2)

Reflection:

new coordinate=(5,-6)

new coordinate=(1,4)

Last one is already done

Step-by-step explanation:

Answer:

A) [tex]\frac{3}{8}[/tex] and 24

Step-by-step explanation:

The coefficients are simply the numerical values that are multiplying the variables.

Answer:

x = 2

Step-by-step explanation:

Multiply both sides by (x-5) and expand:

(x+4)/(x-5)*(x-5) = -2(x-5)

x+4 = -2x+10

Subtract 4 from both sides:

x+4-4 = -2x+10-4

x = -2x+6

Add 2x to both sides:

x+2x = -2x+6+2x

3x = 6

Divide both sides by 3:

3x/3 = 6/3

x = 2

X=2

Your welcome.

(btw the comment i made was wrong)

Answer:2.7

Step-by-step explanation:trust me

Answer:

2.71-----------------

Answer:

x^2+6x+9

Step-by-step explanation:

expand the expression

Answer:

-60

Step-by-step explanation:

=angle -360°*{angle/360}

=300-360*300/360

=-60

Answer:

the circumference is the total distance round a circle but the are is a measure of a space or region inside the circle but circumference is around it

Answer:

$31.43

Step-by-step explanation:

If you take 15% of 36.99 you get around 5.56. So all you have to do is subtract that from the original amount.

Answer:

50

Step-by-step explanation:

68+62=130 then subract 180-130 and have 50 so x=50

Answer:

x°=50°

Step-by-step explanation:

Because of the Vertical Angle Theorem, the blank angle across from 68° is the same measure. Therefore, since the blank angle is 68°, then x° would be 50° because 180-62-68=50 due to the Triangle Angle Sum Theorem.

Answer:

210.6 [tex]in^{2}[/tex]

Step-by-step explanation:

Area of  bottom triangle = bh/2 = 9(7.8)/2 = 35.1

Measure of 1 lateral face = 13(9)/2 = 58.5

Total measure of all 3 lateral faces = 3(58.5) = 175.5

Surface area = 35.1 + 175.5 = 210.6 [tex]in^{2}[/tex]

Answer:

a quantity calculated to indicate the extent of deviation for a group as a whole.

Step-by-step explanation:

t1ts

Answer: 180 possible outfits

Step-by-step explanation:

so basically you're gonna multiply each option by the other, making 5 different ways you could combine pants with that one type of shirt and so on. That gives you 5 x 12 x 3 which is 180

Answer:

[tex]C = (1,0)[/tex]

[tex]E = (0.8,0)[/tex]

See attachment for C and E

Step-by-step explanation:

Given

[tex]O= (0,0)[/tex] --- Origin

[tex]CO = 1[/tex] --- distance of C to O

Solving (a): Plot point C

Calculate the coordinates of C using distance formula:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 -y_1)^2}[/tex]

Where:

[tex]O= (0,0)[/tex] ---[tex](x_1,y_1)[/tex]

[tex]C = (x,y)[/tex] -- [tex](x_2,y_2)[/tex]

[tex]d = CO = 1[/tex]

So, we have:

[tex]1 = \sqrt{(x - 0)^2 + (y -0)^2}[/tex]

[tex]1 = \sqrt{x^2 + y^2}[/tex]

Square both sides

[tex]1^2 = x^2 + y^2[/tex]

[tex]x^2 + y^2 =1[/tex]

For this solution, we assume y = 0

[tex]x^2 + 0^2 =1[/tex]

[tex]x^2=1[/tex]

Solve for x

[tex]x = 1[/tex]

So, the coordinates of C is: (1,0)

[tex]C = (1,0)[/tex]

Solving (b): Plot point E

We have that E is 4/5 closer to the origin.

This implies that, the ratio is:

[tex]m : n = 4/5:1/5[/tex]

Multiply by 5

[tex]m : n = 4:1[/tex]

So, E is at 4:1 between O and C

Calculate the coordinates of E using:

[tex]E = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]

Where

[tex]O= (0,0)[/tex] ---[tex](x_1,y_1)[/tex]

[tex]C = (1,0)[/tex] --- [tex](x_2,y_2)[/tex]

[tex]m : n = 4:1[/tex]

[tex]E = (\frac{4*1 + 1 * 0}{4 + 1},\frac{4*0 + 1*0}{4 + 1})[/tex]

[tex]E = (\frac{4}{5},\frac{0}{5})[/tex]

[tex]E = (0.8,0)[/tex]

the answer is A

5^-8 × 5^4= 5^-8+4

= 5^-4

= 1/5^4

Answer:

depends what type of books you mean and the pace you can read so theres no right or wrong answer cause everyone is at different levels when it comes to reading

Answer:

weird answer but if it where only chapter books ill read 20

if it where regular books i would read 50

Answer:

J

Step-by-step explanation:

It has an initial charge of 2.50 dollars so you have to pay that before you calculate your miles which is 2.65x. X = the amount of miles you plug into the equation.

Answer:

The third one

Step-by-step explanation:

x-5y=6

x-5y+5y=6+5y

x=5y+6

Answer:

(2, 5)

Step-by-step explanation:

The longest side of the triangle will be the side with the coordinate (1,4) and (3,6) due the value of the distance between them;

Midpoint = (x1+x2/2, y1+y2/2)

X = 1+3/2

X = 4/2

X = 2

Y = 4+6/2

Y = 10/2

Y = 5

Hence the required midpoint (X, Y) will be at (2, 5)

Answer: 37

Step-by-step explanation: 14 x 3 = 42

42 - 5 = 37

Answer:

45% is greater than 5/13

Step-by-step explanation:

i hope this helps :)

Answer:

45% is greater.

Step-by-step explanation:

45% is greater because 5/13 as a percentage is roughly 38 percent which is smaller than 45%.

Answer:

x^2 +y^2 = 49

Step-by-step explanation:

The equation for a circle is

(x-h)^2 + (y-k)^2 = r^2  where (h,k) is the center of the circle and r is the radius

( x-0)^2 + (y-0)^2 = 7^2

x^2 +y^2 = 49

Answer:

n=-20

Step-by-step explanation:

Answer:

n = -20

Step-by-step explanation:

n/-4 = 5

n/-4 (-4) = 5(-4)

n = -20

-20/-4 = 5

Answer:

a,c,d

Step-by-step explanation:

The identities which are true is A,C, and D.

A trigonometric Identity is made of Trigonometric ratios, which help in solving Trigonometric Equations.

The identity

[tex]\rm= \dfrac{1- tan^2 x}{2tanx} \\\\\\\\rm= \dfrac{ cos^2 x - sin^2 x}{2 sin x cosx} \\\\\\= cos 2x/ sin 2x \\\\= \dfrac{ 1}{tan 2x}[/tex]

Similarly,

sin 8x = 2 sin4x cos 4x

And,

(sin x + sin 5x) / ( cos x +cos 5x) = tan 3x.

To know more about Trigonometric Identity

https://brainly.com/question/12537661

#SPJ2

Answer:

3/700

Step-by-step explanation:

Let

x = the quantity

3/7% of x

= 3/7 ÷ 100 * x

= 3/7 × 1/100 * x

= (3*1)/(7*100) * x

= 3/700 * x

= 3/700x

3/7​% of a quantity = 3/700 of the quantity

Answer:

$144

Step-by-step explanation:

Volume of the pyramid = 1/3BH

Base area B = 1/2 * 6 * 4

Base area B = 12 ft²

Height H = 4ft

Volume of the pyramid = 12 * 4

Volume of the pyramid = 48ft³

SInce 1 ft³ = $3

48ft³ = x

Cross multiply

x = 3 * 48

x = 144

Hence the cost of the sign is $144

Answer:

7.37%

Step-by-step explanation:

9/20 x 8/19 x 7/18 = 7/95 (simplified) which is 7.37%