cos x° = sin(3x+10°) find tan x°​

Answer:

10

Step-by-step explanation:

Let A = set of numbers from 1 - 10

A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Let B = subset of A which are even numbers

B = {2, 4, 6, 8, 10}

Let C = subset of A which are multiples of 5

C = {10}

which elements are in both the subset of even numbers, and the subset of multiples of 5:

AnB means elements which appears in both set B and C

BnC = {5}

Answer:

Step-by-step explanation:

8/2

Numerator is bigger than denominator. So it is improper fraction and rational number

Rational numbers are any number that can be written in p/q form

Answer:

it should be improper fraction

Step-by-step explanation:

because the numerator is greater than the denominator.

Hope it helps :)

Answer:

160 balloons

Step-by-step explanation:

Step 1: State what is known

She blew up 24 balloons

She only inflated 15%

We want to find the total amount of balloons

Let the total balloons equal "x"

Step 2: Write you equation

[tex]0.15x=24\\\frac{0.15x}{0.15} =\frac{24}{0.15} \\x = 160[/tex]

Therefore there are 160 balloons in total

Answer:

17

Step-by-step explanation:

If you divide 20 by 100 then multiply by 85 you get the number shes likely to make

Answer:

17

Step-by-step explanation:

She will make 17 shots because:

[tex]\frac{85 x 20}{100}[/tex] = 17.

So, the answer is 17. Hope this helps!

Answer: No

Step-by-step explanation: no because one is negative 1 3/4 and the other one isint in the negatives

The sum of -1 3/4 and 2 1/2 is the same as the difference between 2 1/2 and 1 3/4 by cumulative property.

A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation. There are summations with an infinite set of parameters.

The summation is to add or subtract any two or more terms by doing that operation we will get a new result which could be big or small depending upon the number.

Cumulative property is the property summation states;

x + y will be equal to y + x ⇒ x +y = y + x

Now given,

The sum of  -1 3/4 and 2 1/2 ⇒  -1 3/4 + 2 1/2  

By cumulative property,

-1 3/4 + 2 1/2   = 2 1/2 + -1 3/4

The difference between 2 1/2 and 1 3/4 ⇒  2 1/2 -  1 3/4

Hence "The sum of -1 3/4 and 2 1/2 is the same as the difference between 2 1/2 and 1 3/4 by cumulative property".

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Answer:

[0, 57.5]

OR

0 - 57.5

Step-by-step explanation:

Given the function [tex]H(t)[/tex] which gives the heart rate as per time.

That means Heart rate of the runner changes according to time.

[tex]H(t)[/tex] is a function which takes Time as input as observed by the function's representation. In bracket, there is [tex]t[/tex].

That also means time [tex]t[/tex] is the input to the function [tex]H(t)[/tex].

It is also given that during the time as the runner runs, the heart beat will change.

The output of the given function will be Heart beat of the runner.

Time taken to complete the run is given as 57 minutes and 30 seconds.

Domain of a function is the valid inputs that can be given to the function for which the output of the function is defined.

Here, time in minutes is the input to the function.

So, maximum time can be 57.5 minutes.

And as the runner will start from the time = 0 minutes

So, the valid inputs can be from 0 to 57.5 minutes.

Therefore, the domain is [0, 57.5]

OR

0 - 57.5

Answer:

Neptune is 2.86 times further away from Saturn.

Step-by-step explanation:

Distance from Neptune to Earth is [tex]4.3\times 10^9\ km[/tex]

Distance from Saturn to Earth is [tex]1.5\times 10^9\ km[/tex]

We need to find how many times Neptune is further away from Saturn. It can be calculated by dividing distance from Neptune to Earth to the distance from Saturn to Earth as follows :

[tex]\dfrac{d_N}{d_S}=\dfrac{4.3\times 10^9}{1.5\times 10^9}\\\\\dfrac{d_N}{d_S}=2.86\\\\d_N=2.86\times d_S[/tex]

It would mean that Neptune is 2.86 times further away from Saturn.

Answer:

(-4, -1/2)

Step-by-step explanation:

The midpoint between two points (x₁, y₁) and (x₂, y₂) is given by:

((x₁ + x₂)/2, (y₁ + y₂)/2)

So in this case:

((-3 - 5)/2, (3 - 4)/2) = (-8/2, -1/2) = (-4, -1/2)

Answer:

36

Step-by-step explanation:

To find the average of a series of numbers, add them together and then divide by the count of numbers, i.e., 4.

(35 + 27 + 54 + 28) / 4 = 36

Answer:

answer is 36

Step-by-step explanation:

for finding average we have to add all the numbers and by dividing that by the total number present we can get the average

so there are 4 numbers

average= 35+27+54+28/ 4

or 144/4= 36 (ans)

thank uu

Answer:

yes

Step-by-step explanation:

take for example

in the expression: 3x²+5x+2=0,

the coefficients here are +3 and +5 while +2 is a constant. +3 and +5 are coefficients of the variables x² and x respectively

Answer:

4

Step-by-step explanation:

4x4x4x4=256

Answer: Kim took 50 minutes to read the third book.

Step-by-step explanation: If you substract 120 - 15 = 105. Then divide 105 / 3 = 35. And finally add 35 + 15 = 50.

Answer:

It will take 11/30(cistern/hour) for the tank to be full

Answer:

[0,6] means that its the numbers from 0 through 6 containing 0 and 6

[0,6) means that it contains the numbers from 0 through 6 containing 0 but not 6

(0,6) means that it contains the numbers from 0 through 6 containing not 0 or 6.

Step-by-step explanation:

Answer:

Step-by-step explanation:

a.

[tex]20\%\:\\\\20\%\:=\frac{20}{100}\\\\\mathrm{Simplify}\:\frac{20}{100}\\\\=\frac{1}{5}\\\\\frac{1}{5}:\quad 0.2[/tex]

b.

[tex]71\%\:\\\\71\%\:=\frac{71}{100}\\\\=\frac{71}{100}\\\\\frac{71}{100}:\quad 0.71[/tex]

c.

[tex]75\%\:\\\\75\%\:=\frac{75}{100}\\\\\mathrm{Simplify}\:\frac{75}{100}\\\\=\frac{3}{4}\\\\\frac{3}{4}:\quad 0.75[/tex]

d.

[tex]62.5\%\\\\= \frac{62.5}{100}:\\\\\quad 0.625\\[/tex]

Answer:

[tex]\sqrt{\frac{9}{4}}[/tex]       [tex]\frac{5}{3}[/tex]         [tex]\sqrt{5}[/tex]       [tex]2.5[/tex]

Step-by-step explanation:

Given

[tex]\sqrt{\frac{9}{4}}[/tex]

[tex]\sqrt{5}[/tex]

2.5

[tex]\frac{5}{3}[/tex]

Required

Order from least to greatest

Start by simplifying each expression

[tex]\sqrt{\frac{9}{4}}[/tex]

Split square root

[tex]\frac{\sqrt{9}}{\sqrt{4}}[/tex]

Take square root of numerator and denominator

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

[tex]1.5[/tex]

Hence

[tex]\sqrt{\frac{9}{4}} = 1.5[/tex]

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

[tex]\sqrt{5}[/tex]

[tex]\sqrt{5} = 2.2361[/tex] (Approximated)

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

[tex]2.5[/tex]

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

[tex]\frac{5}{3}[/tex]

[tex]\frac{5}{3} = 1.6667[/tex]

Considering the simplified expression; the number from least to greatest is:

[tex]\sqrt{\frac{9}{4}}[/tex]       [tex]\frac{5}{3}[/tex]         [tex]\sqrt{5}[/tex]       [tex]2.5[/tex]

The value of x is  = -5, -3

Answer:

1/4

Step-by-step explanation:

3 red + 6 green = 9 total

P( red) = red/total = 3/9 = 1/3

Now we don't put it back

2 red + 6 green = 8 total

P( green) = green/total = 6/8 = 3/4

P (red, keep,green) = 1/3 * 3/4 = 1/4

Answer:

[tex]\Large \boxed{{\frac{1}{4} }}[/tex]

Step-by-step explanation:

There are 3 red clips and 6 green clips.

Total clips = 3 + 6 = 9

The probability of picking a red clip is 3/9 = 1/3.

You don’t put the red clip back.

Now there are 2 red clips and 6 green clips.

Total clips = 2 + 6 = 8

The probability of picking a green clip is 6/8 = 3/4

P(pulling out a red clip and then a green clip) = 1/3 × 3/4 = 3/12 = 1/4

Answer:

6½ gallons

Step-by-step explanation:

Givem the cost of 1gallon of gas = $2.78. . If Cory buys $18 of gas, we are to find the number of gallons did he buy. To do that we will use the equality method as shown;

$2.78 ,= 1gallon

$18 = x gallon

Cross multiply

2.78 × x = 1×18

2.78x = 18

Divide through by 2.78

2.78x/2.78 = 18/2.78

.x = 6.5

Hence Cory buys about 6½ gallons of gas for $18

Answer:

[tex](x-3-2i)(x-3+2i)[/tex]

Steps:

[tex]8x^2-48x=-104[/tex]

[tex]8x^2-48x+104=0[/tex]

Divide both sides by 8

[tex]x^2-6x+13=0[/tex]

But we can't factor it.

Using the Quadratic Formula to calculate the roots:

[tex]$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$[/tex]

[tex]$x=\frac{-(-48)\pm \sqrt{(-48)^2-4\cdot 8\cdot 104}}{2\cdot 8}$[/tex]

[tex]$x=\frac{48\pm32i}{16}$[/tex]

[tex]x_1=3+2i\\x_2=3-2i[/tex]

The answer might be

[tex](x-(3+2i))(x-(3-2i))[/tex]

[tex](x-3-2i)(x-3+2i)[/tex]

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

2x + 3y = 10 → (1)

x + y = 7 → (2)

Multiplying (2) by - 3 and adding to (1) will eliminate y

- 3x - 3y = - 21 → (3)

Add (1) and (3) term by term to eliminate y, that is

- x = - 11 ( multiply both sides by - 1 )

x = 11

Substitute x = 11 into either of the 2 equations and evaluate for y

Substituting into (2)

11 + y = 7 ( subtract 11 from both sides )

y = - 4

Solution is (11, - 4 )

Answer:

1

Step-by-step explanation:

[tex](-140 ^0) ^ -2\\1^-2\\1\\[/tex] (Any number whose exponent in 0, becomes 1)

Answer:

Wednesday: 45 - 18

Thursday: 55 - 22

Step-by-step explanation:

18*2.5=45

55/5=11

11*2=22

Answer:

Trees Planted Unknown Value = 45

Trees Harvested Unknown Value = 22

Step-by-step explanation:

Plants : Harvest

= 5 : 2

= x : 18

= 5 * x : 2 * x

= 5 * x : 18 / 2

= 5 * x : 9

= 5 * x : x

= 5 * x : 2 * x

= 5 * 9 : 2 * 9

= 45 : 18

Trees planted value  = 45

Plants : Harvest

= 5 : 2

= 55 : y

= 5 * y : 2 * y

= 55 / 5 : 2 * y

= 11 : 2 * y

= y :  2 * y

= 5 * y : 2 * y

= 5 * 11 : 2 * 11

= 55 : 22

Trees harvested value  = 22

I really hope this helps! Tell me if I am incorrect!

Answer:

12,464 ft

Step-by-step explanation:

I assume that the elevation of the lake is the altitude at the surface of the water.

The surface of the lake is 922 ft above the deepest point of the lake.

11,542 ft + 922 ft = 12,464 ft

Answer:

Per day earning is $1.

Step-by-step explanation:

Initial balance that Usha had  = $84

Number of working days = 6 days

Total money after working 6 days = $45 × 2 = $90

Since we know that the initial amount is $84 and the final amount is $90. Thus the amount earned by working 6 days is 90 – 84 = $6.

Now we have to calculate the per day earning. Therefore, just divide the earning with number of days.

Per day earning = $6 / 6 = $1

Answer:

B. 0.36

Step-by-step explanation:

Given:

Right ∆ABC,

AB = 5

BC = 13.93

CA = 13

Required:

Value of sin C

SOLUTION:

[tex] sin(C) = \frac{opposite}{hypotenuse} [/tex]

Opposite = 5

Hypotenuse = 13.93

[tex] sin(C) = \frac{5}{13.93} [/tex]

[tex] sin(C) = 0.3589 [/tex]

[tex] sin(C) = 0.36 [/tex]

the answer would be B, 0.36

Answer:

3.935 x 10^5.

Step-by-step explanation:

There are five digits after the first 3 so  it will be 10^5.

The answer is 3.935 x 10^5.

393500 equals 3.935×10⁵

If we write xⁿ then we mean to say that x is multiplied n times.

The exponent of a number says how many times the number is multiplied by itself.

393500=3.935×100,000=3.935×10⁵

Hence, 393500=3.935×10⁵

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Answer:

x=3 15/16 hours together

Step-by-step explanation:

the painter paints 1/7 of the house in 1 hour

the assistant paints 1/9 of the house in 1 hour

x=# of hours it takes them together to paint the house

(1/7)x+(1/9)x=1 (job finished)

multiply both sides by the LCM which is 63

63(1/7)x+63(1/9)x=63(1)

9x+7x=63

16x=63

x=63/16

x=3 15/16 hours together

Answer:

b. The paint will not fill the tray by 5.22 in3.

Step-by-step explanation:

The computation is shown below:

First we have to determine the volume of tray by using the following equation

[tex]V = L \times W \times H[/tex]

Now transform this from dimensions to inches

Now  putting the values,

[tex]V = 10\times12\times (5\times(\frac{1}{2.54})) \\\\As\ 5 cm = 5 \times (\frac{1}{2.54})[/tex]

the volume would be equivalent to the

236.22 inches^3

Now 1 gallon is 231 inches^3

So, the remaining would be

= 236.22 - 231

= 5.22^3

Therefore the correct option is b.

Hence, all the other options are wrong