Caroline, Colin & Sarah share some money.
Caroline gets 19 of the money.
Colin and Sarah share the rest in the ratio 3:1.
What proportion does Sarah get?​

Answer:

The unknown information is how many months she will use her phone, and how many GB she will download. We can represent these with literally any non-number symbol, letters, greek letters (if ur cool), but to simplify it we can represent the number of months with 'm' and the number gigabytes with 'g'

21m + 3g ≤ 30

Step-by-step explanation:

Answer:

Hello hello

Step-by-step explanation:

Answer:

a square does not have a radius

Step-by-step explanation:

but you can find the area by squaring one side

Answer:

I can only guess that by x^2-2x-24 you mean the entire denominator.  In cases like this is is important to use parentheses to remove any doubts.  For example:

(x+8) / (x^2-2x-24).

This rational expression is undefined at any x for which the denominator, x^2-2x-24, is zero.  

x^2-2x-24 factors into (x+4)(x-6).  The roots are -4 and +6.  

Thus, the given expression is undefined at {-4,6} (set notation).

Step-by-step explanation:

Answer:

option B is correct

Step-by-step explanation:

Hope it helps you

Answer:

39.25 unit²

Step-by-step explanation:

Radius of circle = diameter/2 = 10/2 = 5

Area of a circle = πr²

Area of ½ circle = ½ πr² = ½ x (22/7) x 5²

Area = 39.25 unit^2

Answer:

100 percent - 18 percent

Step-by-step explanation:

answer will come

Answer:

13,600 feet above sea level

Step-by-step explanation:

The climber was at 14,090 feet above sea level, and then they went 490 feet closer to sea level to meet the other climber. Since they’re moving closer to sea level and you want to know how far *above* sea level they are, subtract 490 from 14,090. 14,090-490=13,600 feet above sea level

Answer:

Step-by-step explanation: The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

the coordinate is (2, -2).

Answer:

56

Step-by-step explanation:

because it is a right angle so 90 _ 34 = 56

Answer:

the answer should be 56 as 90-34=56

Answer:

V ≈ 611

Step-by-step explanation:

Solution

V = l w h  ÷ 3 = 14.1 × 13 × 10  / 3 ≈ 611

Answer:

D

Step-by-step explanation:

Answer:g

Step-by-step explanation: because those sides equal one another if you flip them them same way

Answer:

false

Step-by-step explanation:

you have to multiply the 52 and 68, making the n1 = 5577, not 5575

Answer:

12·17=207 But if you need it in a decimal, I'd say 2.07. Hope this helps!! (:

Answer:

[tex]sin\ \varnothing = \frac{-1}{10}\sqrt 2[/tex]

[tex]cos\ \varnothing = \frac{-7}{10}\sqrt 2[/tex]

[tex]tan\ \varnothing = \frac{1}{7}[/tex]

[tex]cot\ \varnothing = 7[/tex]

[tex]sec\ \varnothing = \frac{-5}{7}\sqrt 2[/tex]

[tex]csc\ \varnothing = -5\sqrt 2[/tex]

Step-by-step explanation:

Given

[tex]N = (-7,-1)[/tex] --- terminal side of [tex]\varnothing[/tex]

Required

Determine the values of trigonometric functions of [tex]\varnothing[/tex].

For [tex]\varnothing[/tex], the trigonometry ratios are:

[tex]sin\ \varnothing = \frac{y}{r}[/tex]       [tex]cos\ \varnothing = \frac{x}{r}[/tex]       [tex]tan\ \varnothing = \frac{y}{x}[/tex]

[tex]cot\ \varnothing = \frac{x}{y}[/tex]       [tex]sec\ \varnothing = \frac{r}{x}[/tex]       [tex]csc\ \varnothing = \frac{r}{y}[/tex]

Where:

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

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

In [tex]N = (-7,-1)[/tex]

[tex]x = -7[/tex] and [tex]y = -1[/tex]

So:

[tex]r = \sqrt{(-7)^2 + (-1)^2[/tex]

[tex]r = \sqrt{50[/tex]

[tex]r = \sqrt{25 * 2[/tex]

[tex]r = \sqrt{25} * \sqrt 2[/tex]

[tex]r = 5 * \sqrt 2[/tex]

[tex]r = 5 \sqrt 2[/tex]

Solving the trigonometry functions

[tex]sin\ \varnothing = \frac{y}{r}[/tex]

[tex]sin\ \varnothing = \frac{-1}{5\sqrt 2}[/tex]

Rationalize:

[tex]sin\ \varnothing = \frac{-1}{5\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}[/tex]

[tex]sin\ \varnothing = \frac{-\sqrt 2}{5*2}[/tex]

[tex]sin\ \varnothing = \frac{-\sqrt 2}{10}[/tex]

[tex]sin\ \varnothing = \frac{-1}{10}\sqrt 2[/tex]

[tex]cos\ \varnothing = \frac{x}{r}[/tex]

[tex]cos\ \varnothing = \frac{-7}{5\sqrt 2}[/tex]

Rationalize

[tex]cos\ \varnothing = \frac{-7}{5\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}[/tex]

[tex]cos\ \varnothing = \frac{-7*\sqrt 2}{5*2}[/tex]

[tex]cos\ \varnothing = \frac{-7\sqrt 2}{10}[/tex]

[tex]cos\ \varnothing = \frac{-7}{10}\sqrt 2[/tex]

[tex]tan\ \varnothing = \frac{y}{x}[/tex]

[tex]tan\ \varnothing = \frac{-1}{-7}[/tex]

[tex]tan\ \varnothing = \frac{1}{7}[/tex]

[tex]cot\ \varnothing = \frac{x}{y}[/tex]

[tex]cot\ \varnothing = \frac{-7}{-1}[/tex]

[tex]cot\ \varnothing = 7[/tex]

[tex]sec\ \varnothing = \frac{r}{x}[/tex]

[tex]sec\ \varnothing = \frac{5\sqrt 2}{-7}[/tex]

[tex]sec\ \varnothing = \frac{-5}{7}\sqrt 2[/tex]

[tex]csc\ \varnothing = \frac{r}{y}[/tex]

[tex]csc\ \varnothing = \frac{5\sqrt 2}{-1}[/tex]

[tex]csc\ \varnothing = -5\sqrt 2[/tex]

Answer:

C: All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.

Step-by-step explanation:

An Isosceles triangle is one that 2 of it's sides are equal and thus two of its angles are congruent which means they are equal.

Now, another Isosceles triangle may not necessarily be similar to another one because the congruent angles in one Isosceles triangle may not be the same with that of another Isosceles triangle.

Thus, correct answer is option C

Answer:

C, I think I hope you all do well on your test!!!!

Step-by-step explanation:

Answer:

very fast

Step-by-step explanation:

10.2 miles per minute :)

Answer:

Pay attention next time

Answer: The height of a standard door is about 2 m. The length of an adult pace is about 1 m. The length of a size 8 shoe is about 30 cm. Most adults are between 1.5 m and 1.8 m in height.

Step-by-step explanation:

Answer:

830

Step-by-step explanation:

Answer: it would be 83 hundredths

Step-by-step explanation:

8.3x10 = 83

Answer:

x=4

Step-by-step explanation:

Answer:

12.6ft³

Step-by-step explanation:

Hey There!

So the first thing we need to do is find the formula for volume of a cone

[tex]V=\pi r^{2} \frac{h}{3}[/tex]

r = radius

h = hypotenuse

Now all we have to do is plug in the hypotenuse and the radius

[tex]V=\pi 2^{2} \frac{3}{3}[/tex]

2²=4

[tex]\frac{3}{3} =1[/tex]

4xπ=12.5663706144

And now we just round to the nearest tenth

so we can conclude that the volume of the cone is 12.6ft³

Answer:

FG = 9.3 feet

Step-by-step explanation:

cos 52° = 5.7/FG

0.6157 = 5.7/FG

FG = 9.26 feet

Answer:

2 + i and + √5

Step-by-step explanation:

Since P(x) is a quartic equation, it has 4 roots.

Since 2 - i and -√5 are two of its roots, then its conjugate pairs of 2 + i and + √5 are its other two roots.

So, its other two roots are 2 + i and + √5

Answer:

Step-by-step explanation:

C = 147 ft.  The relevant formula is C = 2(pi)r, and here C = 147 ft = 2(pi)r.

The relevant area formula is A = (pi)r^2.  If we solve the above formula for r we get

         147 ft

  r = ------------    and so  r^2 (needed to calculate the area) is

           2pi

          147^2 ft^2

r^2 = ------------------

                4(pi)

                                      147^2 ft^2

and so the area is  A = ---------------- = 7203/pi

                                           3 pi

                                                                    C                           C^2

Alternative method:  C = 2pi*r so r = -------------- and r^2 = -------------

                                                                 2 pi                           4pi^2

                                                                               C^2             C^2

then the area of the circle is A = pi(r^2) or pi*-------------- = ---------------

                                                                             4pi^2               4pi

                                                                        (147 ft)^2

and in this case the area of the circle is A = --------------

                                                                              4 pi

or A = 1720 ft^2

Answer:

443.28

Step-by-step explanation:

Subtract 42.24 from 570.3 three times.

Answer:

Step-by-step explanation:

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