I’m not very great a math and I’m a bit rush so yeah

The image of the triangle is missing, so i have attached it.

Also, the options are;

A) The apothem can be found using the Pythagorean theorem.

B) The apothem can be found using the tangent ratio.

C) The perimeter of the equilateral triangle is 15 cm.

D) The length of the apothem is approximately 2.5 cm.

E) The area of the equilateral triangle is approximately 65 cm².

Answer:

Options A, B & D are true

Step-by-step explanation:

A) We are told that the triangle is an equilateral triangle.

Thus, the 3 sides equal 8.7 cm.

Now from the image, b is half of one of the sides.

Thus, b = 8.7/2 = 4.35 cm

Now, we want to find the apothem "a".

Using Pythagoras theorem, we have;

a² + 4.35² = 5²

a² = 25 - 18.9225

a² = 6.0775

a = √6.0775

a ≈ 2.5 cm.

Thus, option A is true as pythagoras theorem was able to calculate the apothem "a"

B) since the main triangle is equilateral, it means each angle is 60°.

Now,the radius line from one corner point to the centre will divide the 60° angle into 2 equal parts.

Thus, the angle made by the radius line with the base of the triangle is 60/2 = 30°

Now,from tangent ratios, we know that;

Opposite/Adjacent = tan θ

In the small triangle, opposite is apothem "a" while adjacent is b = 4.35 cm

Thus;

a/4.35 = tan 30

a = 4.35 tan 30

a ≈ 2.5 cm.

Thus, option B is correct as Tangent ratio can be used to find the apothem

C) The perimeter of equilateral triangle = 3x

Where x is length of one side.

One side is 8.7 cm

Thus, perimeter = 3 × 8.7 = 26.1 cm

Thus option C is not correct.

D) From calculations above, we saw that in both options A & B, the apothem is approximately 2.5 cm.

Thus, option D is true.

E) Area of triangle is;

A = ½ × base × height

Base = 8.7 cm

To get height, we will use trigonometric ratio. Thus;

h/8.7 = sin 60°

h = 8.7 sin 60°

Thus;

A = ½ × 8.7 × 8.7 sin 60°

A = 32.77 cm²

Thus is not equal to 65 cm². Thus, option E is not correct.

Answer:

A, B, D

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

x=5 produces y=3 and y=5 so the relation is not a function.

Yes that is function by looking that this

y

Answer:

problem 1: h=a/b problem 2: 5

Step-by-step explanation:

First problem: a=bh

First you have to flip the equation so bh=a

Next you have to divide both sides by b.

bh/b=a/b

so h=a/b

Second problem: 45ft is the area and 9ft is the base so to find the height you have to divide the area by the base

If you only have the base and height you would multiply them to find the area. If you only have area and height you divide area by height to get base.

You have to divide 45 by 9, the answer would be 5.

Hope this helped!

Answer: slope intercept is y=mx+b

standard form is Ax+By=C.

point slope form is y-y₁=m(x-x₁)

so y=2/3x+2 is slope intercept

Answer:

+Slope-intercept is... y=mx+b

+The standard form is... Ax+By=C.

+A point-slope form is... y-y₁=m(x-x₁)

+So... y= x+2 is... slope-intercept

 ❤ I hope this helps you, ma'am/sir/whatever your pronouns are! ❤

Answer:

y=1/3

3y=1...........(1)

x=1/2

2x=1..........(2)

:.

2x=3y

when x=1/4

2×1/4=3y

3y=1/2

y=1/(2×3)=1/6 is your answer

Answer:

x^2 -144

Step-by-step explanation:

Answer:

The answer is 0.

Explanation:

2/3 x 0 = 0

0 x -3 = 0

I hope it helps you...

Answer:

Step-by-step explanation:

[(3/2)⁰]⁻³

apply the exponent rule: (aᵇ)ˣ = aᵇˣ, a≥0

= (3/2)⁰ ⁽⁻³⁾

note that 0 * (-3) = 0 so,

=(3/2)⁰

apply exponent rule: a⁰ = 1, a≠0

= 1

Answer:52813

Step-by-step explanation:

To get the 325th triangular number all you have to do is n x (n+1) /2

N=325

325 x 325+1

325x325=105625

105625+1=105626

105626/2=52813

There you go=52813 is the 325th triangular number

Answer:

Step-by-step explanation:

8.5*6.2=52.7

The required time taken by Denise to complete the race is 52.7 minutes.

Given that,
Denise runs a 10-kilometer race (6.2 miles). Her average time per mile is 8.5 minutes per mile.

Speed is defined as when an object is subjected to move, the distance covered by the object in a certain time interval is the speed of that object.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Denise runs a 10-kilometer race (6.2 miles).
Denise run 1 mile in 8.5 minutes
Time is taken by denis to run 6.2 miles =  6.2 * 8.5
                                                                  = 52.7 minutes

Thus, the required time taken by Denise to complete the race is 52.7 minutes.

Learn more about simplification here:
https://brainly.com/question/12501526

#SPJ2

Answer:

Actually, there is no answer to this problem.

450x5=2250

4500-2250=2250

2250/100=22.5

Technically the "answer" to this would be 23 or more, but the problem is saying the MAXIMUM amount they can ship is 24

23+5=28

28 is larger than 24, meaning there is no answer to the problem.

There is no answer to this problem.

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.

Given that, an online furniture store sells chairs for $100 each and tables for $450 each. Every day, the store can ship a maximum of 24 pieces of furniture and must sell no less than $4500 worth of chairs and tables and  5 tables are sold,

According to question,

450*5 = 2250

4500 - 2250 = 2250

Since, each chair is sold for $100, therefore,

2250/100 = 22.5

≈ 23

Since, 5 tables are already sold,

23 + 5 = 28

This is a contradiction to the given conditions, because the problem is saying the maximum amount they can ship is 24 and 28 is larger than 24.

Hence, there is no answer to the problem.

For more references to the inequality, click;

https://brainly.com/question/28823603

#SPJ2

Answer:

The maximum amount of flower arrangements she can make are 28.

Step-by-step explanation:

There are enough roses and carnations to make 28 flower arrangements. There will still be leftover carnations but that's fine.

You do this by finding the smaller number of flowers and grouping them with the other flower so it makes a group of two. If the other flower had 2x the amount of the smaller flower, them group them in a group of 3;  1 : 2

But this is only used to make the maximum amount. this is not the efficient way to go but this is the way to go if you are finding the max amount.

Answer:

The real answer is -17, do the math.

Step-by-step explanation:

28 - 45= -17

28 + 17 = 45

45 - 28 = 17

Answer:

Ok:

Step-by-step explanation:

I see that you set up 90 miles = 60 mph * t, where you found out that t = 1.5. What what you needed to do was set 180 miles = 45 mph * t. This is because it is 45 mph for the whole trip. Then, you find that t = 4 hours. That that means that he spent 2.5 hours driving back. Then, we can do d=vt and find 90/2.5 as the speed he went home at. Which comes out to be 36 mph.

Answer:

102.6

Step-by-step explanation:

add 99.2 + 3.4

Answer: (1)/(9)-:(5)/(4)

Step-by-step explanation:

*^*^c(1)/(9)-:(5)/(4)*^*^

*^*^(1)/(9)-:(5)/(4)*^*^

*^*^The result can be shown in multiple forms. *^*^

*^*^Exact Form:4  45 *^*^

*^*^Decimal Form:

*^*^0.0 8

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Rate (r) = 8% =. 0.08

Period (t) = 25 years

Yearly withdrawal = cashflow = P= $30,000

Using the present value formula (PV) :

Present Value (PV) = P[(1 - (1 + r)^-n) / r]

PV = 30000((1 - (1 + 0.08)^-25) / 0.08)

PV = $320,243.29

B.) Total amount pulled out :

Yearly withdrawal * number of years

$25000 * 25 = 625,000

C.)

Interest :

$625000 - $320,243.29 = $304,756.71

Answer: y= 12.5x

Step-by-step explanation:

The last equation describes this statement because if he earns 12.50 per hour the y will be the amount he earns in x hours. For every hour, the money will go up by $12.50.

Answer:

I believe the answer would be A

Step-by-step explanation:

There is no possible slope being involved so B, C, or D couldn't be the answer.

Answer:

A. A straight line that slopes from left to right.

Step-by-step explanation:

y = mx + b

Answer:0.75

Step-by-step explanation:

Answer: y=2/5x+b

Step-by-step explanation:

Answer:

y-27 >= -13

Step-by-step explanation

you are finding y, so you will leave the y and convert the 27 into a positive 27.

y >= -13 + 27

Once that is done, simplify.

-13+27 = 14

so your answer will be:

y>14

Answer:

Yes! The weekend is time where you get a break from school/homework and relax! :)

Answer:

I've done this before, I think it was C.

Step-by-step explanation:

Answer: The answer is C

Step-by-step explanation:

Answer:

Step-by-step explanation:

23.74, .43, .2734, .0347, .0043

I think the answer is

300

Answer: 5X^12

Step-by-step explanation: 5*x3*x4*x5

=5*x12

=5x12

Answer:

15 gallons

Step-by-step explanation:

(3 / 4) * (20 US gallons)

= 15 gallons

Answer:

15 gallons are in the tank

Step-by-step explanation:

3/4(20)

Answer:

I couldn't

The ones I used to be friends with now all hate me lol ;-;

Step-by-step explanation:

Answer:

2/8 more days

Step-by-step explanation:

5/8-3/8=2/8

Answer:

The independent variable doesn't rely on anything to change; it is independent

The dependent variable relies on the independent variable; what happens to it depends on the independent variable  

Think of independent and dependent variables like cause and effect: the independent variable is the cause, while the dependent variable is the effect. For example; in an experiment, you manipulate the independent variable and measure the outcome in the dependent variable.

I hope that wasn't to confusing!

I hope this helps! (✿◕‿◕✿)