what is the measurement of angle f?

Answer:

D I think

Step-by-step explanation:

none of the others look right

The fraction which is used to rationalize fraction [tex]15/\sqrt{3}[/tex] is option D which is [tex]\sqrt{3}/\sqrt{3}[/tex].

A fraction is a combination of two numbers one is numerator and other is denominator. Number above division is numerator and number above division is denominator. It is expressed as u/v where u is numerator and v is denominator.

The given fraction is [tex]15/\sqrt{3}[/tex] and we have to rationalize the fraction now we have to multiply and divide [tex]15/\sqrt{3}[/tex] by [tex]\sqrt{3}[/tex]

=15/[tex]\sqrt{3}[/tex]*[tex]\sqrt{3}\sqrt{3}[/tex]

=[tex]15\sqrt{3}/3[/tex]

Rationalized fraction will be [tex]15\sqrt{3} /\sqrt{3}[/tex].

Hence the fraction required to rationalize fraction 15/[tex]\sqrt{3}[/tex] is [tex]\sqrt{3} /\sqrt{3}[/tex].

Learn more about fraction at https://brainly.com/question/78672

#SPJ2

Answer:

Here is your answer

Step-by-step explanation:

y - 7 = -2(x-2)

y - 7 = -2x + 4

  +7            +7

    y = -2x + 11

Answer:

11

Step-by-step explanation:

check:

3+8=11

11-3=8

Answer:

Total Cost, C=$(16S +56)

Step-by-step explanation:

Chris buys 8 more Ninja Turtles than Star Wars action figures.

Cost of each Ninja Turtle = $7

Cost of each Star Wars  = $9

Let number of Star Wars bought = S

As per question statement, number of Ninja Turtles bought = S+8

Cost of 'S' number of Star Wars = Number of Star Wars bought [tex]\times[/tex] cost of each Star Wars

Total cost of Star Wars bought = S [tex]\times[/tex] 9 or $9S

Similarly, Cost of 'S+8' number of Ninja Turtles = Number of Ninja Turtles bought [tex]\times[/tex] cost of each Ninja Turtles

Total cost of Ninja Turtles bought = (S+8) [tex]\times[/tex] 7 or $(7S +56)

Total Cost of the purchase = Total cost of Star Wars Bought + Total cost of Ninja Turtles bought

Total Cost of the purchase, C = 9S + (7S +56)

[tex]\Rightarrow C=\$(16S +56)[/tex]

Answer:

C=$(16S +56)

Step-by-step explanation:

1 pound (lb) is in 16 ounces (oz).

Answer:

16

Step-by-step explanation:

Stay safe and wear a mask!

Answer:

The height would be 9.1923 ft

Answer:

The answer is B.

Step-by-step explanation:

You would pay about $20 each hour

Answer:

The answer is B)

Step-by-step explanation:

Answer:

40 mph

Step-by-step explanation:

at least I won't crash in one second, and that's not that slow.

Answer:

i rather drive a car 40 miles per second however.... driving at 50ft per second sounds like fun

Step-by-step explanation:

[tex]\sf{Answer}\\[/tex]

→ A plane contain three non - collinear points.

Answer:

(x+10) ^2 + (y-6)^2 = 64

Step-by-step explanation:

The equation of a circle can be written as

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

(x- -10) ^2 + (y-6)^2 = 8^2

(x+10) ^2 + (y-6)^2 = 64

Answer:

14.28 percent

Step-by-step explanation:

Answer:

[tex]=-2x+14[/tex]

Step-by-step explanation:

[tex]\left(\frac{1}{2}\right)^2\cdot \:8-2x+\left(5+7\right)\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\left(\frac{1}{2}\right)^2\cdot \:8-2x+5+7\\\left(\frac{1}{2}\right)^2\cdot \:8=2\\\left(\frac{1}{2}\right)^2\cdot \:8\\\left(\frac{1}{2}\right)^2=\frac{1}{2^2}\\\left(\frac{1}{2}\right)^2\\\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}\\=\frac{1^2}{2^2}\\\mathrm{Apply\:rule}\:1^a=1\\1^2=1\\=\frac{1}{2^2}\\=8\cdot \frac{1}{2^2}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}\\=\frac{1\cdot \:8}{2^2}\\\mathrm{Multiply\:the\:numbers:}\:1\cdot \:8=8\\=\frac{8}{2^2}\\\mathrm{Factor}\:8:\quad 2^3\\\mathrm{Factor\:}8=2^3\\=\frac{2^3}{2^2}\\\mathrm{Cancel\:}\frac{2^3}{2^2}:\quad 2\\\frac{2^3}{2^2}\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\frac{2^3}{2^2}=2^{3-2}\\=2^{3-2}\\\mathrm{Subtract\:the\:numbers:}\:3-2=1\\=2\\=2-2x+5+7\\Group\:like\:terms\\=-2x+2+5+7[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:2+5+7=14\\=-2x+14[/tex]

Answer:

SA=1200 in squared. V=2160 in cubed.

Step-by-step explanation:

Let's start with the surface area. The area of of a triangle is 1/2 x b x h. But we have 2 congruent triangle on the prism, so we have this.

2 x 1/2 x b x h.

The 2 and 1/2 cancel so we are left with b x h.

The other sides are easy.

Find the area of the sides we know that have base times height.

16 x 30 + 16 x 9 + 30 x 9...

To find the last side, we need to find the hypotenuse.

To find it, we use the pythagorean theorem.

a²+b²=c²

Use the values of the right triangle's dimensions and plug them in.

16²+30²=c²

256+900=c²

c²=1156

c=34

now using this, we have

16 x 30 + 16 x 9 + 30 x 9 + 9 x 34.

Now solve!

SA = 1200 in squared

The volume is easy.

All we need is the area of the triangular side and multiply it by the depth, 9.

16 x 30 x 1/2 =

240

240 x 9=

2160. in cubed

Answer:

2x-3=2x-4

Step-by-step explanation:

2x-3=2x-4

-3=-4

Not true. Thus, no solution.

Answer:

say the equation was 2x - 5 = 2x -3

well the first thing I could do is subtract the 2x from both sides, but 2x is on both sides so there would be no x-value meaning there is no solution

Answer:

2x+5y = -15

Step-by-step explanation:

y+7= -2/5(x-10)

Multiply each side by 5 to get rid of the fraction

5(y+7)= 5*-2/5(x-10)

5(y+7)= -2(x-10)

Distribute

5y+35 = -2x+20

Add 2x to each side

2x+5y +35 = 2x-2x+20

2x+5y +35 = 20

Subtract 35 from each side

2x+5y+35-35 = 20-35

2x+5y = -15

Answer:

the range is from 0 to 6 , so 6

Step-by-step explanation:

Answer:

0-6

Step-by-step explanation:

i think

This question is incomplete because it is not properly and correctly written.

Find attached to this answer a hand drawn sketch diagram of the Aquarium (rectangular prism) showing its dimensions.

Complete Question

The aquarium shown is a rectangular prism that is filled with water. You drop a spherical ball with a diameter of 8 inches into the aquarium. The ball sinks, causing the water to spill from the tank. How much water is left in the tank? Enter your answer to the nearest tenth. (Hint: 1 in³ = 0.00433 gal)

The dimensions of the rectangular prism is given as:

Height = 13 in

Width = 13 in

Length= 20in

The amount of water left is about ____ gallons.

Answer:

The amount of water left in the tank approximately to the nearest tenth is 13.5 gallons (gal) of water

Step-by-step explanation:

Step 1

We are given a rectangular prism with the dimensions :

Height = 13 in

Width = 13 in

Length= 20 in

The first step would be to find the Volume of the Rectangular prism

Volume of the rectangular prism = Length × Width × Height

= 20in × 13in × 13in

= 3380 in³

From the question, we are given the hint that

1 in³ = 0.00433 gal

This means that 1 in³ of an object contains 0.00433 gallons of water.

Therefore, if

1 in³ = 0.00433 gal

3380 in³ =

Cross multiply

2880 in³ × 0.00433 gal

= 14.6354 gal

This means the Aquarium (rectangular prism) contains 14.6354 gallons of water.

Step 2

A spherical ball with the diameter of 8 inches was dropped into the aquarium.

We would find the volume of the spherical ball.

Volume of the Spherical ball = 4/3πr³

Radius = Diameter ÷ 2

= 8 inches ÷ 2 = 4 inches.

Volume of the Spherical ball = 4/3 × π × 4³

Volume of the Spherical ball = 268.08in³

Step 3

We would be converting the Volume of spherical ball to gallons because this gives us the quantity of water spilled due to the sinking of the spherical ball

If , 1 in³ = 0.00433 gal

268.08in³ =

Cross multiply

268.08 in³ × 0.00433 gal

= 1.1607864 gal.

Step 4

The fourth and final step is to subtract the volume of water in the aquarium from the volume of water spilled

14.6354 gal - 1.1607864 gal

= 13.4746136 gal

Approximately to the nearest tenth = 13.5 gal

Therefore, the amount of water left in the tank approximately to the nearest tenth is 13.5 gallons (gal) of water.

Answer:

[tex]\sqrt[4]{625x^{12}y^8} = 5 {x^3} {y^2}[/tex]

Step-by-step explanation:

Given

[tex]\sqrt[4]{625x^{12}y^8}[/tex]

Required

Simplify

We start by splitting the roots

[tex]\sqrt[4]{625x^{12}y^8} = \sqrt[4]{625}* \sqrt[4]{x^{12}} * \sqrt[4]{y^8}[/tex]

Express 625 as exponents

[tex]\sqrt[4]{625x^{12}y^8} = \sqrt[4]{5^4}* \sqrt[4]{x^{12}} * \sqrt[4]{y^8}[/tex]

From laws of indices

[tex]\sqrt[n]{a^m} = a^{\frac{m}{n}}[/tex]

So,

[tex]\sqrt[4]{625x^{12}y^8} = \sqrt[4]{5^4}* \sqrt[4]{x^{12}} * \sqrt[4]{y^8}[/tex] becomes

[tex]\sqrt[4]{625x^{12}y^8} = {5^\frac{4}{4}} * {x^\frac{12}{4}} * {y^\frac{8}{4}}[/tex]

[tex]\sqrt[4]{625x^{12}y^8} = 5 * {x^3} * {y^2}[/tex]

[tex]\sqrt[4]{625x^{12}y^8} = 5 {x^3} {y^2}[/tex]

Answer:

hope this helps You

Answer:

The inverse is 1/3 (x+1)

Step-by-step explanation:

y = 3x-1

Exchange x and y

x = 3y-1

Solve for y

Add 1 to each side

x+1 = 3y-1+1

x+1 = 3y

Divide each side by 3

(x+1)/3 = 3y/3

1/3(x+1) =y

The inverse is 1/3 (x+1)

Answer:Test to determine if a function y=f(x) is even, odd or neither: Replace x with -x and compare the result to f(x). If f(-x) = f(x), the function is even. If f(-x) = - f(x), the function is odd.

Step-by-step explanation:

Answer:

Even function because the highest exponent of the variable is a 6, and 6 is an even number.

Step-by-step explanation:

Answer:

1/2 times 632

Step-by-step explanation:

If youn multiply something by 1/2, it is just divided by 2. They are the same thing.

Answer:

[tex] \frac{1}{2} \times 632[/tex]

First answer is correct

Step-by-step explanation:

of means multiply

so,

[tex] \frac{50}{100} \times 632 \\ = \frac{1}{2} \times 632[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

[tex]x^{2}[/tex]-2x-120

Step-by-step explanation:

Answer:

-5x^3 - x^2 - 2x + 5

Step-by-step explanation:

Rewrite the given expression in descending powers of x:

-5x^3 - x^2 - 2x + 5

Answer:

60

Step-by-step explanation:

10(2+2)+10x2

10(4)+20

=60

Answer: 60

Step-by-step explanation:

Answer:

Step-by-step explanation:

the 30 year olds are more likely to pick chocolate as their favorite ice cream because the fraction of people who like chocolate is 14/20 where the other 3 are 4/20 and 2/20. this can be converted into percentages as well by multipling by 5. 70% of people who are in their 30s like chocolate opposed to the 20% and 10%.

Answer:

the answer of above question is 41

Answer:

41

Step-by-step explanation:

HOPE I HELP!

Answer:

(b) 1/3

Step-by-step explanation:

because it has 3 equal parts

Answer:

As shown in the picture, if the three angles at 0 are equal, the amount of fruits in 3 sections would be equal, too.

It means the total amount of fruits would be divided equally into 3 potions, 1 portion is pawpaw, 1 portion is mango, and 1 portion is orange.

=> Fraction of oranges: F = 1/3

=> Option C is correct

Hope this helps!

:)

Answer:

easy, if the intercepts or roots or zeros of the equation are r₁ and r₂ then 2 factors of the equatain are (x-r₁) and (x-r₂)

so

we see it intercepts the x axis at 1 and 6

r₁=1

r₂=6

therefore 2 roots are (x-1) and (x-6)

answer is 2nd option

Step-by-step explanation:

if

Answer:

b

Step-by-step explanation:

took the quiz got it right

Answer:

its b

Step-by-step explanation:

Answer:

Step-by-step explanation:

B i did the test

Answer:

66.390

Step-by-step explanation:

Answer:

66.39

Step-by-step explanation:

The thousandth place is 0.00.  To round, look at the number right after it.  If the number is 4 or less, the number stays the same.  If the number is 5 or greater, the number is rounded up.

For 66.3899872389, the bold number is the number we are trying to round.  The number after it is 9.  This number is greater than 5 so you have to round up.

Your answer is 66.39.