Please, I require assistance

Answer:

0.25π

Step-by-step explanation:

→ Expand the bracket

4 × cos²Ф = 2

→ Divide both sides by 2

cos²Ф = 0.5

→ Square root both sides

cos Ф =  [tex]\frac{\sqrt{2} }{2}[/tex]

→ Inverse cosine  [tex]\frac{\sqrt{2} }{2}[/tex]

cos⁻¹ (   [tex]\frac{\sqrt{2} }{2}[/tex]  ) = 0.25π

Answer:

Answer:

0.25π

Step-by-step explanation:

→ Expand the bracket

4 × cos²Ф = 2

→ Divide both sides by 2

cos²Ф = 0.5

→ Square root both sides

cos Ф =  

→ Inverse cosine  

cos⁻¹ (     ) = 0.25π

Step-by-step explanation:

Check the picture below.

the area of the triangle whose base is AC and height is BD, is the same area of the triangle whose base is AB and altitude is BC, namely

[tex]A=\cfrac{1}{2}(\stackrel{b}{6})(\stackrel{h}{6})\implies 18[/tex]

Answer:

36

Step-by-step explanation:

A^2+B^2=C^2

10^2+B^2=38^2

We are solving for B squared

So 100+B^2=1444

                      -100

1344 and now take the square root of that number and you have your answer of 36

I hope this helps and have a good night!

The time taken by the bacterias to reach 3,700 will be 2.81 days.

It is given in the question that:-The the number of bacteria, B left parenthesis d right parenthesis, in a certain population increases according to the following function, where time, d, is measured in days:

[tex]B(d)=2425\ e^{0.15d[/tex]

[tex]3700= 2425\ e^{0.15d}\\\\\\e^{0.15d}=\dfrac{3700}{2425}\\\\\\0.15d=ln\dfrac{3700}{2425}\\\\\\[/tex]

d   =   2.81  days

Hence the time taken by the bacteria to reach 3,700 will be 2.81 days.

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The sales they might anticipate if they raise the price to $40 a bottle is $1,500.

Using this formula

Anticipated sales=(Current selling price÷Increase in price)×Number of bottle sold

Let plug in the formula

Anticipated sales=($30÷$40)×2,000

Anticipated sales=$0.75×2,000

Anticipated sales=$1,500

Therefore the sales they might anticipate if they raise the price to $40 a bottle is $1,500.

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Answer: Okay, I believe it is mean and 4inches

Step-by-step explanation:

If you add altogether, it is 40 and of course divide by 10 (the number of data) it’s 4

Answer: 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17

Step-by-step explanation:

First, we can ensure that 12 is the median by putting it in the middle and putting the same amount of numbers to its left and right side. To make the values have a mean of 12, the easy why to do it is to subtrate one as you move to the left and add one as you move to the right, that way they will cancel each other out and keep the mean at 12. The answer has a total of 11 values, has more than 3 values that are different, and has a mean and median of 12.

7+8+9+10+11+12+13+14+15+16+17=132

132/11=12

There are 5 values to each side of 12, making 12 the median.

Answer:

Step-by-step explanation:

the number of combinations of 4 people we can form from 6 is :

[tex]C^{4}_{6}=\frac{6!}{4!\left( 6-4\right) !} = 15[/tex]

Answer:

Hi! There are 3600 seconds in one hour.

Step-by-step explanation:

60 min. = one hour

60 seconds = one minute

:)

Answer:

441 square feet.

Step-by-step explanation:

Area = length times width. Both length and width are 21 feet (3×7).

Answer:

29 degrees

Step-by-step explanation:

The interior angles of all triangles equals 180. We know already that we have 101 and 50 degrees. If we add that, we get 151. To find x, we have to simply subtract 151 from 180. If we do this, we get 29. x=29.

Hope this helps!

Answer:

89.3 cm. sq.

Step-by-step explanation:

Just find the area of each face and then add those areas together.

hope this helps

have a good day

Answer:

21 cats!

Step-by-step explanation:

the ratio is 3:4

4 being dogs    -     28/4 = 7      -      7 * 3 = 21

hope this helps!!! <3

Answer:

Area = 213.52 sq.ft

Step-by-step explanation:

[tex]A_{s} =\pi (18)^{2} -\pi (16)^{2} =324\pi -256\pi =68\pi[/tex]

[tex]\pi =3.14[/tex]

[tex]A_{s} =68(3.14)=213.52sq.ft[/tex]

Hope this helps

Answer:

  113.04 ft²

Step-by-step explanation:

The area of the ring can be found by multiplying its center-line length by its width.

__

The diameter of the circle that is the center-line of the ring is ...

  16 ft + 2 ft = 18 ft . . . . center-line diameter

The length of the center-line is then ...

  C = πd

  C = 3.14(18 ft) = 56.52 ft

And the area of the ring is ...

  A = LW = (56.52 ft)(2 ft) = 113.04 ft²

The shaded area is 113.04 square feet.

Answer:

y= x5

Step-by-step explanation:

y = 5 times the number of x.

Answer:

Driving Distance : 569 KM and 398 meters / 353.8 miles.

Straight Line Distance : 467 KM and 700 meters / 290.6 miles.

Travel time : 11 hours and 19 minutes.

Direction and bearing : South side, 159 degree.

Step-by-step explanation:

Answer:

(x-3)(x+2)

Step-by-step explanation:

¹ you open brackets.

² you put the "x" in both brackets

³ you then check for factors, that will give you a "6" when you multiply them and give you the "x" when you add or subtract them.

Answer:

D

Step-by-step explanation:

The interval notation for the graph :

Answer:

x = 17

Step-by-step explanation:

4x + 7 = 75         (as the 2 angles are interior alternate angles)

4x = 75 - 7 = 68

x = 68/4 = 17

Answer:

x = 17

Step-by-step explanation:

4x + 7 = 75         (as the 2 angles are interior alternate angles)

4x = 75 - 7 = 68

x = 68/4 = 17

Answer:

see below-

Step-by-step explanation:

1st one- congruent

boxes- m1 and m2 , m2 and m3

2nd line- supplementary

m1 and m3

b. 55.722

Step-by-step explanation:

1850/3320

I assume that you know what the question is asking to solve for.

The net profit margin for Korey's Comics is 42.5%.

Option A is the correct answer.

Profit is the difference between the selling price and the cost price.

We have,

Net profit margin is calculated by dividing net income by net sales and multiplying the result by 100 to get a percentage.

Net Profit Margin = (Net Income / Net Sales) x 100%

Substituting the given values.

Net Profit Margin = (1,850 / 4,350) x 100%

Net Profit Margin = 0.425 x 100%

Net Profit Margin = 42.5%

Therefore,

The net profit margin for Korey's Comics is 42.5%.

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Answer:

Types of Equations and Examples

Types of Equations and Examples

There are various types of equations, such as,

Linear equation

Equation with  one variable

Equation with two variables

Equation with three variables

Polynomial equation

Monomial Equations

Binomial Equation

Trinomial Equation

Quadratic equation

Trigonometric equation

Radical equation

Exponential equation

Rational equation

types of equations

types of equations

1. Linear Equation:

A linear equation is an algebraic equation. In linear equation, each term is either a constant or the product of a constant and a single variable. If there are two variables, the graph of linear equation is a straight line.

General form of the linear equation with two variables is given below:-

y = mx + c, m ≠ 0.

Equation with one Variable: An equation who have only one variable, e.g.

12x – 10 = 0

Step-by-step explanation:

Answer:

84cm

Step-by-step explanation:

Given that;

1cm = 7m

12cm = x

Cross Multiply

x = 12×7

x = 84m

The height from the ground at which the ladder touched the building is 12feet.

A right-angled triangle is a type of triangle that has three sides and one of its  three angles as 90°.

Analysis:

The ladder length, height of the ladder from the ground, and the distance of the foot of the ladder from the foot of the building form a right angle triangle.

let x, be the distance from the foot of the building to the foot of the ladder.

x+7 = height of ladder from building to foot of  building.

length of ladder = 13 feet

using Pythagoras, we have

[tex](13)^{2}[/tex] = [tex]x^{2}[/tex] + [tex](x+7)^{2}[/tex]

169 = [tex]x^{2}[/tex] + [tex]x^{2}[/tex] + 7x + 7x + 49

169 = 2[tex]x^{2}[/tex] + 14x + 49

2[tex]x^{2}[/tex] + 14x = 169-49

2[tex]x^{2}[/tex] + 14x  = 120

divide through by 2

[tex]x^{2}[/tex] + 7x - 60 = 0

[tex]x^{2}[/tex] +12x -5x - 60 = 0

(x+12) -5(x+12) = 0

(x+12)(x-5) = 0

x = -12 or 5

Since measurement cannot be negative, therefore x = 5

Height the ladder touches the building is x+7 = 5+7 = 12 feet

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Answer:X is equal to -4 twice

Step-by-step explanation:

The solution to the equation 2x² + 8x = x² - 16 is x = -4.

Option A is the correct answer.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

To solve the equation 2x² + 8x = x² - 16, we first simplify it by moving all the terms to one side:

2x² + 8x - x² + 16 = 0

Simplifying further, we get:

x² + 8x + 16 = 0

This is a quadratic equation of the form ax² + bx + c = 0, where a = 1, b = 8, and c = 16.

We can solve this equation by factoring it:

(x + 4)(x + 4) = 0

This gives us two solutions:

x + 4 = 0 or x + 4 = 0

x = -4 or x = -4

Therefore,

The solution to the equation 2x² + 8x = x² - 16 is x = -4.

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Answer:

[tex]f(2)=\frac{7}{4}[/tex]

Step-by-step explanation:

Step 1:  Input 2 for x and solve

[tex]f(x) = \frac{2x + 7 - x^2}{4}[/tex]

[tex]f(2) = \frac{2(2) + 7 - (2)^2}{4}[/tex]

[tex]f(2)=\frac{4+7-4}{4}[/tex]

[tex]f(2)=\frac{7}{4}[/tex]

Answer: [tex]f(2)=\frac{7}{4}[/tex]