Select all the correct figures.
Which figures show starting steps in the construction of an equilateral triangle?

Answer:

7/32

Step-by-step explanation:

what's your question question question

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:

y = 1/5x + 3

Step-by-step explanation:

y = mx + b

m: slope = 1/5

b: y - intercept

(x, y): (-5, 2)

2 = 1/5(-5) + b

2 = -1 + b

add 1 to both sides to get b alone

2 + 1 = -1 + b + 1

3 = b

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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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: 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:

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:

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 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:

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:

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:

(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:

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:

3/4

Step-by-step explanation:

Subtract 3 2/4 from 2 3/4

- Multiply 3 and 4 to get 12.

- Add 12 and 2 to get 14.

- Reduce the fraction 14/4 to lowest terms by extracting and canceling out 2.

- Multiply 2 and 4 to get 8.

- Add 8 and 3 to get 11.

- Least common multiple of 2 and 4 is 4. Convert 7/2 and 11/4 to fractions with denominator of 4

- Since 14/4 and 11/4 have the same denominators, subtract both by subtracting their numerators

- Subtract 11 from 14 to get 3

Answer:

2.5 seconds.

Step-by-step explanation:

h(t) = -4t^2 + 20t

= -4(t^2 - 5t)

Convert to vertex form by completing the square:

h(t) = -4[(t - 2.5t)^2 - 6.25]

     = -4(t - 2.5)^2 + 25    <--------- vertex form

So the vertex is at the point (2.5, 25).

So the athlete reaches the maximum height ( of 25 feet), after 2.5 seconds.

Answer:

From the diagram you can see that we have constructed a right triangle, with height A and base 15.Length of shadow = 15 feet.Height of flagpole = A.We know the angle of elevation is 40∘. Using this angle and the tangent ratio, we can find A.tan(40∘)=oppositeadjacent=A15∴tan(40∘)=A15Rearranging:A=15tan(40∘)By calculator:A=12.59 feet.  ( 2 d.p.)

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]

Answer:

y= x5

Step-by-step explanation:

y = 5 times the number of x.

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

This is not a valid conclusion because the data was not randomly collected from various classes in the school but from a particular class.

The collection of data for a research work should be done in such a way as to include a good number of the test subjects.

The sampling methods that can be used to gather better data include the following:

These methods will ensure that a good number of the test subjects are included in the research work in order to form a valid conclusion.

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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:

441 square feet.

Step-by-step explanation:

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