(G-GPE.B.4) Prove or disprove the triangle with vertices R (−2, −2), S (1, 4), and T (4, -5) is an equilateral triangle.

Answer:

36˚

6 cm

tangent

8.3 cm

10.2 cm

Step-by-step explanation:

The side lengths of the regular pentagons are congruent

A pentagon has 5 sides, and the central angle is 360°.

Calculate the measure of ABD using:

ABD = 360°/5

ABD = 72

The measure of CBD is half the measure of ABD.

So, we have:

CBD = 0.5 * 72

CBD = 36

Hence, the measure of CBD is 36 degrees

A pentagon has 5 sides, and the given perimeter is 60 cm

Calculate the length of AD using:

AD = 60cm/5

AD = 12

The length of CD is half the length of ABD.

So, we have:

CD = 0.5 * 12

CD = 2

Hence, the length of CD is 6 cm

cm

Using the angle CBD, the trigonometric ratio can be used to compare BC to CD is the tangent ratio

We have:

tan(CBD) = CD/BC

Make BC the subject

BC = CD/tan(CBD)

Substitute known values

BC = 6/tan(36)

Evaluate

BC = 8.3 cm

Hence, the approximate length of BC is 8.3 cm

By Pythagoras theorem, we have:

BD^2 = BC^2 + CD^2

This gives

BD^2 = 8.3^2 + 6^2

Take the square root of both sides

BD = 10.2 cm

Hence, the approximate length of BD is 10.2 cm

Read more about regular pentagons at:

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Answer:

C

Step-by-step explanation:

The option that has the same range than f(x) is:

[tex]g(x) = -\sqrt{x + 3} + 8[/tex]

Here we first have the function:

[tex]f(x) = -2*\sqrt{x - 3} + 8[/tex]

Remember that the square root only can be evaluated arguments equal or larger than zero.

So the minimum value of x that we can use is x = 3.

[tex]f(3) = -2*\sqrt{3 - 3} + 8 = 8[/tex]

And as x increases, the outcome will decrease (because the square root is being mulitiplyed by a negative number). So we can conclude that the range is y ≤ 8.

So, we need another function that has a maximum value in the range equal to positive 8, so we need to have a constant equal to 8, and a square root being multiplyed by a negative number.

The option that meets these two conditions is the third one:

[tex]g(x) = -\sqrt{x + 3} + 8[/tex]

If you want to learn more about domains and ranges, you can read:

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Answer:

07-7-7

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

Given 2 intersecting chords.

Then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

14(2x + 2) = 12(2x + 5) ← distribute parenthesis on both sides

28x + 28 = 24x + 60 ( subtract 24x from both sides )

4x + 28 = 60 ( subtract 28 from both sides )

4x = 32 ( divide both sides by 4 )

x = 8

Answer:

option A

Step-by-step explanation:

the bigger triangle is two times the size of the small one

Answer:[tex]\color{yellow}{}[/tex]

[tex]\color{iron}{{-1, 0, 4}}[/tex]

[tex]\color{iron}{{-3, 1, 2}}[/tex]

Domain is 5 and the range is 4 so the Function is 1.25

Answer:

1. 160 min

2. 84 min

3. 5:12 p.m.

4. 6:40 p.m.

5 a 4:44 p.m.

b 7:14 p.m.

Answer:

x = 6

Step-by-step explanation:

a • b = c • d  where a and b are the segments lengths on one chord and c and d are the segments lengths on the other chord

2*x = 3*4

2x = 12

Divide by 2

2x/2 = 12/2

x = 6

Answer:

14

Step-by-step explanation:

Find HCF

Year 7: 70 students

7x5x2=70

Year 8: 98 students

7x7x2=98

HCF: 14

The largest team size she can use is 14 students.

Grade 7: 5 teams

Grade 8: 7 teams

Brainliest please, thanks!

Answer:

please mark me as brainleast

Answer:

4

Step-by-step explanation:

18x = 12(x+2)

18x = 12x+24

18x-12x = 24

6x = 24

x = 4

Answer:

the 2nd one

Step-y-step explanation:

Answer:

3.14 million

Step-by-step explanation:

10.676 - 7.536 = 3.14

To check

7.536 + 3.14 = 10.676

Answer:

3.14 million is the correct answer

Answer:

Step-by-step explanation:

17/60 = 0.2833333333.....  3 repeating

25/60 = .025  terminating

31/44 = 0.7045454545.....   45 repeating

54/72 = 0.75    terminating

Answer:

The length of AB is approximately 6.07 m

Step-by-step explanation:

The given dimensions of the triangle are;

The value of x = 7.7 m

The measure of angle, θ = 52°

The length of side AB = Required

The given triangle ΔABC is a right triangle, with the following sides;

AC = x = The hypotenuse (opposite to right angle) side

(Leg) AB = The opposite side to the reference angle, θ

(Leg) BC = The adjacent side to the reference angle, θ

By trigonometric ratio, we have;

[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{AB}{x}[/tex]

Therefore;

[tex]sin(52^{\circ}) = \dfrac{AB}{7.7}[/tex]

AB = 7.7 × sin(52°) ≈ 6.07

The length of AB ≈ 6.07 m.

Answer:

Can u do zoom it plz i cant see

Answer:

AB = A'B'

BC = B'C'

AC = A'C'

angle ABC = angle A'B'C'

angle CAB = angle C'A'B'

angle CBA = angle C'A'B'

Step-by-step explanation:

use different axomes to show relation,

Answer: Reflect ABC across the vertical line passing through C

Step-by-step explanation:

Answer: B.

tan 45=perpendicular/base

1=8/AB

So, AB=8

Since it's a right-angled triangle, BC is a hypotenuse.

BC=√(AC^2+AB^2)

     =r√(8^2+*^2)

     =8 √2

Answer:

c(x) =  16x + 22736

R(x) = -2x^2 + 524x  

[ -2x^2 + 508x  - 22736] = 0

Factored: f(x) = -2(x - 196)(x - 58)

58 to break even

Step-by-step explanation:

Your cost is the amount it cost you to "make" stuff.

You have fixed and variable costs (cost of oven is fixed cost of flower and sugar is variable to make cupcakes)

your cost is c(x) =  16x + 22736

"your oven and building cost $22736 per month and you use $16 worth of sugar butter flour to make one cupcake ( it  must be a huge one) ...

your revenue is the amount of money that "comes into your business"...

the amount of money in the cash register.... Note: this is only money IN you still have to pay for the building, sugar flour etc.

R(x) = -2x^2 + 524x  

Note: the minus and the square basically say that the more you charge the less cupcakes you will sell...

Profit is the money in minus the money out

P - R - E   [ -2x^2 + 524x  ] - [16x + 22736]

the break even point is where the two functions are the same

in other words where C=R or R-C=0

[ -2x^2 + 524x  ] = [16x + 22736]

[ -2x^2 + 508x  - 22736] = 0

Factored: f(x) = -2(x - 196)(x - 58)

Answer:

Step-by-step explanation:

C(x)=16x+22736

R(x)=-2x²+524x

P(x)=R(x)-C(x)

=-2x²+524x-16x-22736

=-2x²+508-22736

when profit is zero then no gain or loss.

so -2x²+508x-22736=0

or x²-254x+11368=0

196+58=254

196×58=11368

x²-54x-196x+11368=0

x(x-54)-196(x-54)=0

(x-54)(x-196)=0

x=54,196

so x=54 is the smallest number of bins to break even.

Answer :

Brian has $49 left.

Step by step explanation :

Step 1 : Find how much money Brian spends on rent and food.

First question we should be asking is what is 3/5 of 735?

Let's find that.

[tex]\frac{3}{5}[/tex] * [tex]\frac{735}{1}[/tex]

= [tex]\frac{(3)(735)}{(5)(1)}[/tex]

= [tex]\frac{2205}{5}[/tex]

= 441

We know Brian spends $441 on rent. Now we find how much he spends on food.

[tex]\frac{1}{3} * \frac{735}{1}[/tex]

= [tex]\frac{(1)(735)}{(3)(1)}[/tex]

= [tex]\frac{735}{3}[/tex]

= 245

Brian spends $245 on food.

Step 2 : Add what he spends on rent and food together.

$441 + $245 = $686

Step 3 : To find out how much money Brian has left, we subtract $686 from $735.

$735 - $686 = $49

Conclusion : Brian has $49 left.

Hope this helps, please mark brainliest if possible. Have a nice day.

Answer:

38.8%

Step-by-step explanation:

Area of the triange:

6*6.5*.5= 19.5

Area of the circle:

π*16= 16π

19.5/16π= .387940174

38.8%

Answer:

38.8%

Step-by-step explanation:

Neva is hungry and she buys a snack from the concession stand event is independent.

It is a branch of mathematics that deals with the occurrence of a random event.

Two events are independent if the occurrence of one event does not affect the probability of the other event occurring.

Based on this definition, the scenario that depicts two independent events is Neva is hungry and she buys a snack from the concession stand.

The fact that Neva is hungry and decides to buy a snack from the concession stand is not affected by any other event.

The occurrence of one event (Neva buying a snack) does not affect the probability of the other event occurring.

Therefore, the Neva is hungry and she buys a snack from the concession stand. event is independent.

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Answer:

25%

Step-by-step explanation:

Probability = # of favorable outcomes / possible outcomes

favorable outcomes is what we want to happen ( throwing more than 3 pitches )

So to find the # of favorable outcomes we must find the frequency that the pitcher throws more than 3 pitches ( note: frequency of throwing 3 pitches is not included)

There are two possible outcomes of the pitcher pitching more than 3 pitches, 4 pitches having a frequency of 15, and 5 pitches which has a frequency of 10

So # of favorable outcomes = 10 + 15 = 25

Now we want to find the # of possible outcomes.

To do so we simply add the frequencies of each possible outcome.

15 + 20 + 40 + 15 + 10 = 100

So there are a total of 100 possible outcomes

Finally to find the probability of the pitcher throwing more than 3 pitches we divide favorable outcomes ( 25) by possible outcomes (100)

Our answer = 25/100 which can be converted into a percentage as 25%

Answer:

Look at Step by step

Step-by-step explanation:

Mean: (a) 1.38

Mean: (b) 1.7

median (a) 1.3

Pacx '?

a]g.;//

>Dc.cccccccccccccccccccccccccccccx;;;;;;;;;;;;;;;;;;;;;;;;;|;z

;zzx';

[c'                  / v\Zcccccccc

Answer:

A)mean is 1.38  mode is 1.5  median is 1.4

B)mean is 1.775  mode is 1.2  median is 1.75

Step-by-step explanation:

the mean is the average of the numbers added together divided by how many numbers are listed. 1.5+1.2+1.3+1.5+1.4=6.9  6.9 divided by 5 = 1.38

mode is the number that shows up in the list the most.

median is the number that is in the middle of the list of numbers when listed highest to lowest or vice versa.

In the instance of (B) since there were only 4 numbers and could not get exact middle number you take the 2 middle numbers and add them together and divide by 2 to get the average of those 2 numbers

Given:

y is directly proportional to x.

[tex]y=30[/tex] when [tex]x=5[/tex]

To find:

The equation that connects y with x.

Solution:

It is given that, y is directly proportional to x. So,

[tex]y\propto x[/tex]

[tex]y=kx[/tex]                     ...(i)

Where, k is the constant of proportionality.

We have, [tex]y=30[/tex] when [tex]x=5[/tex]. Substituting these values in (i), we get

[tex]30=k(5)[/tex]

Divide both sides by 5.

[tex]\dfrac{30}{5}=k[/tex]

[tex]6=k[/tex]

Substituting [tex]k=6[/tex] in (i), we get

[tex]y=6x[/tex]  

Therefore, the required equation is [tex]y=6x[/tex].

Answer:

1/5=0.2

0.3=3/10

1/2=0.5

7/10=0.7

3/4=0.75

Answer:

Step-by-step explanation:

when they meet, time taken are same.

total distance they travel=20+25=45mile

total speed=45+50=95mile/hour

time=45/95=0.474hour

0.47*45=21.4mile>20mile so they meet at east of store.

Answer:

[tex]4p + 9[/tex]

Step-by-step explanation:

Commutative property of addition:

Changing the order of addends does not change the sum.

Answer:

4p+9

Step-by-step explanation:

Addition is the same reversed.

For example,

7+5=12

AND

5+7=12

Answer:

34

Step-by-step explanation:

let x = number of stamps ranu gives out and the number of stamps cathy receives

200 - x = 132 + x

combine like term s

200 - 132 = 2x

68 = 2x

x = 34