In Mrs. Nathan's class, there are 16 boys and 20 girls. What is the ratio of girls to boys in Mrs. Nathan's class?

Answer:

-23, 5

Step-by-step explanation:

JK = 14 and K = -9

J could be on the left or the right of -9

Add 14 to -9

14+-9 = 5

So J could be at 5

Subtract 14 from -9

-14-9 = -23

Answer:

See steps below

Step-by-step explanation:

We need to work with each side of the equation at a time:

Left hand side:

Write all factors using the basic trig functions "sin" and "cos" exclusively:

[tex]tan^2(x)\,cos^2(x)=\frac{sin^2(x)}{cos^2(x)} cos^2(x)=sin^2(x)[/tex]

now, let's work on the right side, having in mind the following identities:

a)  [tex]sec^2(x)-1=tan^2(x)=\frac{sin^2(x)}{cos^2(x)}[/tex]

b) [tex]1-sin^4(x) =(1-sin^2(x))\,(1+sin^2(x))[/tex]

c) [tex]1-sin^2(x)=cos^2(x)[/tex]

Then replacing we get:

[tex]\frac{(sec^2(x)-1)\,(1-sin^4(x))}{1+sin^2(x)} =\frac{sin^2(x)(1+sin^2(x))(1-sin^2(x))}{cos^2(x)(1+sin^2(x)))} =\frac{sin^2(x)(1+sin^2(x))\,cos^2(x)}{cos^2(x)(1+sin^2(x)))}=sin^2(x)[/tex]

Therefore, we have proved that the two expressions are equal.

Answer:

c

Step-by-step explanation:

Answer:

the mean is 44 but i don't know the MAD

Step-by-step explanation:

To find the mean absolute deviation of the data, start by finding the mean of the data set.

The only thing i could tell you is the mean

Answer:

C is the correct answer

Step-by-step explanation:

Already rode bike 18 miles.

m miles for 6 days.

16+6m

Answer:

its D

Step-by-step explanation:

Answer:

1x 900y A

1.5xthere is orgian for B but none for a

Answer:

1066

Step-by-step explanation:

Fill in the numbers for the letters                                

Solve in the parenthesis

Multiply

Subtract

Answer:

1066

Step-by-step explanation:

substitute;

2×2^2×3^3×5 - 7×2

2×4×27×5 - 7×2

multiply;

1080 - 14 = 1066.

Answer:

101.956 cm

Step-by-step explanation:

You just have to do 7.18 times 14.2 to get the answer.

I hope this helped ;)

Answer:

101.956

Step-by-step explanation:

A=bh

7.18 x 14.2 = 101.956

to check your answer you would do the opposite 101.956/14.2 = 7.18 or 101.956/7.18 = 14.2

Answer:

Step-by-step explanation:

What do u need help with? I might be able to help you out :)

Answer:

40

Step-by-step explanation:

Since the probability to choose a blue marble is 1/9, there must be 5 blue marbles since 45 * 1/9 = 5

Subtract 5 from 45 to get 40, since the rest of the marbles are red.

Answer:

KN = 72

Step-by-step explanation:

ΔKPL and ΔKNM are similar.

∠KLP = ∠KMN (Because PL and NM are parrallel)

∠KPL = ∠KNM (Because PL and NM are parrallel)

∠NKM = ∠PKL (Same angle, Common)

Now, Both the trianlges are similar just there is a size difference.

First we need to find scale factor, therefore:

[tex]\frac{KL}{LM}[/tex] = [tex]\frac{11}{55}[/tex] = [tex]\frac{1}{5}[/tex]

Now we know the scale factor is  [tex]\frac{1}{5}[/tex] therefore:

[tex]\frac{KP}{PN}[/tex] = [tex]\frac{PK}{60}[/tex]

To find PK we times 60 by [tex]\frac{1}{5}[/tex] therefore:

Answer is 12

Now KN is PK+ PN threfore:

KN is 72

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slope = difference in y / difference in x

Sub the values in:

slope = (-2- -2) / (7 - -5)

slope = 0 / 12

The slope is 0.

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Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, - 2) and (x₂, y₂ ) = (7, - 2)

m = [tex]\frac{-2+2}{7+5}[/tex] = [tex]\frac{0}{12}[/tex] = 0

Answer:

40.5m^2

Step-by-step explanation:

Rhombus Formula:

A = pq/2

p = diagonal

q = diagonal

9x9/2 = 40.5m^2

f ( x ) = x² + 144

=> x² + 144 = 0

=> ( x + 12 ) ( x - 12 ) = 0

=> x + 12 = 0 and x - 12 = 0

=> x = -12 and x = 12

So,the zeroes of f are -12 and 12 .

Answer:

V = 13 65⁄72 ft3

Step-by-step explanation:

V = 13⁄4 ft × 7⁄3 ft × 11⁄6 ft

V = 1,001⁄72 ft3

V = 13 65⁄72 ft3

Answer: 12

Step-by-step explanation:

For this problem, all you have to do is plug in x=2 into all the x you see.

-3(2)+1.5+2.5(2)-4.5+8(2)

-6+1.5+5-4.5+16=12

Answer:

Replace the variable x = 2 in the expression.

−3⋅2+1.5+2.5(2)−4.5+8(2)

Simplify each term.

multiply −3 by 2 .

−6+1.5+2.5(2)−4.5+8(2)

Multiply 2.5 by 2.

Multiply 8 by 2.

−6+1.5+5−4.5+16

Simplify by adding and subtracting.

Tap for fewer steps...

Add −6 and 1.5

−4.5+5−4.5+16

Add −4.5 and 5.

0.5−4.5+16

Subtract 4.5 from 0.5.

−4+16

Add −4 and 16.

= 12

Step-by-step explanation:

Answer:

[tex]14/3[/tex]

Step-by-step explanation:

[tex]4.66666666667[/tex]

[tex]0.66666666667=2/3[/tex]

[tex]4\frac{2}{3}[/tex]

[tex]14/3[/tex]

The fraction form of a number 4.66666666667 is,

⇒ 40 / 9

We have to given that;

A number is,

⇒ 4.66666666667

And, We can change it into fraction.

Let us assume that,

⇒ x = 4.66666666667  .. (i)

Multiply by 10;

⇒ 10x = 46.66666666667 .. (ii)

Subtract (ii) form (i);

⇒ 10x - x = 40

⇒ 9x = 40

⇒ x = 40 / 9

Thus, The fraction form of a number 4.66666666667 is,

⇒ 40 / 9

Learn more about the fraction visit:

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Answer:

0.13

Step-by-step explanation:

change of heat: 35-25 =10 degrees

mass=20

energy=26

c =??

c = Q / (m * ΔT)

   =26/20*10= 26/200=0.13 J/g*k

Answer:

Step-by-step explanWhat i usually do for these problems is because pecent is out of 100, just subtract the percent from 100 percent and multiply that ammount to the original price, so 40 * (100%-30%)= 40 * 70% or 40 * 0.7, so the answer would be 28

Answer:

213.52 cubic ft

Step-by-step explanation:

Diameter of pipe = 4ft

radius for circle is half of diameter

thus radius of pipe = 1/2 of 4ft = 2 ft

length of pipe = 17 feet

volume of cylinder is given by [tex]\pi r^2l[/tex]

where r is the radius and l is the length of cylinder

.

thus volume of pipe is calculated below using above values

[tex]volume \ of \ pipe = \pi r^2l\\volume \ of \ pipe = \3.14* 2^2*17 \\volume \ of \ pipe = 213.52[/tex]

volume of pipe is 213.52 cubic ft.

Answer:

72 / period  of time which is 2 = 36

36 / 3% = 36 / 0.03 = 1200

1200 is your answer

Now double check

1200 x 0.03 = 36

36 x 2 = 72

Hope this helps 1200 is your answer

Step-by-step explanation:

Answer:d

Step-by-step explanation:

Answer:

Step-by-step explanation

Answer:

x = 7

Step-by-step explanation:

3x-1/9(27) = 18

x = 21/3

=7

Answer:

B. 7

Step-by-step explanation: Took test

Answer:

91

Step-by-step explanation:

You add the two measures of the intercepted arcs and divide by 2 to get the measure of the central angle.

Hope this helped!! Please leave a rating and/or mark me the BRAINLIEST!!! Thank You :)

Answer:

91

Step-by-step explanation:

You add the two measures of the intercepted arcs and divide by 2 to get the measure of the central angle.

Hope this helped!! Please leave a rating and/or mark me the BRAINLIEST!!! Thank You :)

Answer:

The value of tan F = 8/15  or  0.533333

Step-by-step explanation:

To find the value of tan F, we will follow the steps below;

We will use trigonometric ratio. that is;

SOH CAH TOA

sin Ф = opposite / hypotenuse

cosФ = adjacent/hypotenuse

tan Ф = opposite/adjacent

if Ф = F

then opposite = DE = 8

adjacent = EF = 15

web can now proceed to insert the values into the formula

tan F = opposite/ adjacent

tan F = 8/15

tan F = 0.5333

tanF = oppos

Answer:

rectangle 32

triangle 16

Step-by-step explanation:

The area of the rectangle is

A = bh

A = 8*4 = 32

The area of the triangle is 1/2 of the area of the rectangle

A =1/2 bh = 1/2 *32 = 16

Answer:

triangle = 16

rectangle = 32

It's the last option

Step-by-step explanation:

A for rectangle = b * h

= 8 * 4

= 32

A for triangle = 1/2 * b * h

= 1/2 * 32

= 16

Hope this helps!

Answer:

1.96

Step-by-step explanation:

a^2 + b^2 = c^2

4.6^2 + b^2 = 5^2

21.16 + b^2 = 25

b^2 = 3.84

b = 1.959591

Answer:

See Explanation

Step-by-step explanation:

[tex]

\because \sin\bigg(\frac{\pi}{2} + x\bigg)= \cos x\\

\&\: \sin (\pi - x) = \sin x\\\\

Now,

\frac{\sin\bigg(\frac{\pi}{2} + x\bigg)}{\sin (\pi - x)} = \cot x\\\\

LHS

= \frac{\sin\bigg(\frac{\pi}{2} + x\bigg)}{\sin (\pi - x)} \\\\

=\frac{\cos x}{sinx} \\\\

= \cot x\\\\

= RHS\\\\

Hence\: Proved

[/tex]