15 Points Are Placed On A Circle. How Many Triangles Is It Possible To Form, Such That Their Vertices (2024)

Answer:

Tamanna scored more.

Step-by-step explanation:

Bhaskar scored -60, 20 and 0. His total score is therefore:

-60 + 20 + 0 = -40

Tamanna scored 20, 0, 60. His total score is therefore:

20 + 0 + 60 = 80

Therefore, Tamanna scored more.

Answer:

[tex] area = 10x^2 - 4x + 6 [/tex]

Step-by-step explanation:

Given that the rectangle has a height = 2, and width of [tex] 5x^2 - 2x + 3 [/tex]

Area of the whole rectangle can be calculated as:

[tex] area = 2(5x^2 - 2x + 3) [/tex]

Use the distributive property of multiplication by using 2 to multiply each term in the expression, [tex] (5x^2 - 2x + 3) [/tex]

[tex]area =2(5x^2) +2 (-2x) + 2(3)[/tex]

[tex] area = 10x^2 - 4x + 6 [/tex]

Answer:

m arc NP = 151°

Step-by-step explanation:

m arc MN = x

m arc NP = y

5x + 6 = y

x + y = 180, I will solve with substitution

x + (5x + 6) = 180

6x + 6 = 180

6x = 174

x = 29

y = 151

Answer:

151 or c

Step-by-step explanation:

Answer:

The answer is:

[tex]\bold{c\approx 20.2\ units}[/tex]

Step-by-step explanation:

Given:

In △ABC:

m∠A=15°

a=10 and

b=11

To find:

c = ?

Solution:

We can use cosine rule here to find the value of third side c.

Formula for cosine rule:

[tex]cos A = \dfrac{b^{2}+c^{2}-a^{2}}{2bc}[/tex]

Where

a is the side opposite to [tex]\angle A[/tex]

b is the side opposite to [tex]\angle B[/tex]

c is the side opposite to [tex]\angle C[/tex]

Putting all the values.

[tex]cos 15^\circ = \dfrac{11^{2}+c^{2}-10^{2}}{2\times 11 \times c}\\\Rightarrow 0.96 = \dfrac{121+c^{2}-100}{22c}\\\Rightarrow 0.96 \times 22c= 121+c^{2}-100\\\Rightarrow 21.25 c= 21+c^{2}\\\Rightarrow c^{2}-21.25c+21=0\\\\\text{solving the quadratic equation:}\\\\c = \dfrac{21.25+\sqrt{21.25^2-4 \times 1 \times 21}}{2}\\c = \dfrac{21.25+\sqrt{367.56}}{2}\\c = \dfrac{21.25+19.17}{2}\\c \approx 20.2\ units[/tex]

The answer is:

[tex]\bold{c\approx 20.2\ units}[/tex]

Answer:

The exact values of sinθ = -7/√58.

The exact value of secθ = -√58/3 and

The exact value of tanθ = 7/3

Step-by-step explanation:

Given that a point on the terminal side is of an angle is (x,y) and we are given (-3, -7). So x = -3 and y = -7. The length of its terminal side is given by r = √(x² + y²) = √((-3)² + (-7)²) = √(9 + 49) = √58

We know that sinθ = y/r.

So, sinθ = y/r = -7/√58

We know that secθ = 1/cosθ = 1/x/r = r/x

So, secθ = r/x = √58/-3 = -√58/3

We know that tanθ = y/x.

So, tanθ = y/x = -7/-3 = 7/3

So, the exact values of sinθ = -7/√58.

The exact value of secθ = -√58/3 and

The exact value of tanθ = 7/3

Answer:

b. 5 + 17i

Step-by-step explanation:

Answer:

25.4 degrees

Step-by-step explanation:

Use the inverse sine function to calculate

Answer:

410.4

136.8

Step-by-step explanation:

Because the post office processes 45.6 letters every hour and is open 9 days an hour, it processes 45.6*9, or 410.4 letters per day. Because it is open on Christmas for 3 hours more than normal days(12-9), it produces 45.6*3, or 136.8 more letters on Christmas.

Hope it helps <3

Answer:

A. 410.4 letters

B. 136.8 more letters

Step-by-step explanation:

1.

We know that the post office processes 45.6 letters per hour. If we want to know how many letters they process in 9 hours, we can multiply 45.6 and 9.

45.6 * 9

Multiply

410.4

The post office can process 410.4 letters in 9 hours, therefore A is correct.

2.

The post office still process 45.6 letters per hour, but they are open for 12 hours. First, multiply 12 and 45.6.

12 * 45.6

547.2

We are asked to find how many more letters they can process. We need to find the difference between the letters they normally process and the letters they process on Christmas.

Christmas - normal

They process 547.2 on Christmas and 410.4 normally.

547.2 - 410.4

136.8

They process 136.8 more letters on Christmas. Therefore, choice B is correct. Thank

Answer:

Terrance is incorrect

Step-by-step explanation:

Supplementary angles add to 180 degrees

4x+30 + 2x+6 = 180

Combine like terms

6x+36 = 180

Subtract 36 from each side

6x+36-36 = 180 -36

6x =144

Divide by 6

6x/6 = 144/6

x =24

Answer:

-7/2

Step-by-step explanation:

We can find the slope by using the slope formula

m = (y2-y1)/(x2-x1)

= ( -3 -11)/( 2- -2)

= ( -14)/ ( 2+2)

= -14/4

= -7/2

Answer:

[tex]\large \boxed{\sf \ \ \ a+b+c=3 \ \ \ }[/tex]

Step-by-step explanation:

Hello,

[tex]4x^2+2x-1=4(x^2+\dfrac{2}{4}x)-1=4[(x+\dfrac{1}{4})^2-\dfrac{1}{4^2}]-1[/tex]

As

[tex](x+\dfrac{1}{4})^2=x^2+\dfrac{2}{4}x+\dfrac{1^2}{4^2}=x^2+\dfrac{2}{4}x+\dfrac{1}{4^2} \ \ So \\\\x^2+\dfrac{2}{4}x=(x+\dfrac{1}{4})^2-\dfrac{1}{4^2}[/tex]

Let 's go back to the first equation

[tex]4x^2+2x-1=4[(x+\dfrac{1}{4})^2-\dfrac{1}{4^2}]-1=4(x+\dfrac{1}{4})^2-\dfrac{1}{4}-1\\\\=4(x+\dfrac{1}{4})^2-\dfrac{1+4}{4}=\boxed{4(x+\dfrac{1}{4})^2-\dfrac{5}{4}}[/tex]

a = 4

[tex]b=\dfrac{1}{4}\\\\c=-\dfrac{5}{4}[/tex]

[tex]a+b+c=4+\dfrac{1}{4}-\dfrac{5}{4}=\dfrac{4*4+1-5}{4}=\dfrac{12}{4}=3[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

The first equation has no solution

The picture shows all the work I did, the reason I took a pic is because it is a little hard to explain by text, but I hope this helped you!

Step-by-step explanation:

Hello!!

Given that,

one is 75 cm and other is 1m.

now, let's convert 1m into cm.

so, 1m=100cm.

now,

ratio of 75cm to 100 cm = 75/100

=3/4

= 3:4 ...is answer.

Therefore, the ratio is 3:4.

Hope it helps..

Answer:

Ahhh

Step-by-step explanation:

I have this question too!!!

The height is 3.

The square centimeters show that the length and width multiplied resulted in the 30. (Centimeter times centimeter = square centimeter.) so you divide the 90 by 30 and the answer is 3.

Area=lw
Volume=lwh

Area given = 30
Volume given = 90

90=30h

H=3

Answer:

60

Step-by-step explanation:

Answer:

C. 3

Step-by-step explanation:

Brock weighs 134 pounds, he will lose 3 pounds a day until he is 126 pounds

D will represent the number of days he will work out.

134 - 3d < 126

134 - 3(3) < 126

134 - 9 = 125

125 < 126

3 days

We can say that Brock needs to workout for minimum 3 days to compete at feather weight level.

Answer:

h = V3B

Step-by-step explanation:

V = 1/3B · h

Divide volume by 1/3 B to get h by itself

V/1/3B = V3B

Answer:

C. The hypotenuse is [tex]\sqrt{2}[/tex] times as long as either leg.

Step-by-step explanation:

The hypotenuse is square root 2 times as long as the sides is a true statement.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We have to find the true statement about an isosceles right triangle.

Let us use pythagoras theorem to find this

h²=a²+b²

In this case since its an isosceles right triangle, a and b most be the same.

Let's say that the measure of the sides that are equal is x and the hypotenuse is h.

Pythagoras tells us the following:

h²=x²+x²

h²=2x²

Take square root on both sides

h=√2x

Hence, the hypotenuse is square root 2 times as long as the sides

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ5

Answer:

35.1

Step-by-step explanation:

There's a formula that i've linked as an image

Basically, substitute all 3 sides and the length into that formula, chuck it into the calculator and viola.

Or... we can use pythagoras' theorem and get the height of the triangle Height = [tex]3^{2}[/tex] - [tex]1.5^{2}[/tex] = 2.6

Area of triangle = (3 * 2.6) / 2 = 3.9

Volume = 3.9 * 9

Volume of prism = 35.1

Answer: 24 units

Step-by-step explanation:

MO, NO and LO are radii.

If MO = 13, THEN LO = NO = 13

IF NO = 13 and NP = 8, THEREFORE,

PO = NO - NP

PO = 13 - 8 = 5

USING PYTHAGORAS, WE CAN FIND MP:

MP = Sqrt(MO^2 - PO^2)

MP = sqrt(13^2 - 5^2)

MP = sqrt(169 - 25)

MP = sqrt(144)

MP = 12 units

P is the midpoint of Segment ML,

THEREFORE,

MP = PL

ML = MP + PL

ML = 12 + 12

ML = 24 units

Answer: 24

Step-by-step explanation:

edge

Answer: 60 degrees

Step-by-step explanation:

This triangle is a 30-60-90 right triangle because the hypotenuse is double the shortest side. Because this is a 30-60-90 right triangle, Angle C, which opens up to the x√3 side, is 60 degrees.

Hope it helps <3

Answer:

angle C=60 degrees

Step-by-step explanation:

cos C=adj/hyp

cos C=√11/2√11

cos C=1/2 ( convert to degrees)

angle C=60 degrees

Answer:

[tex]\large \boxed{\sf \ \ \text{The maximum profit is \$94 per day.} \ \ }[/tex]

Step-by-step explanation:

Hello,

The coefficient in [tex]x^2[/tex] is negative.

So, there is a maximum at the vertex point which is

[tex]x=-\dfrac{b}{2a}==\dfrac{-6}{-0.2}=\dfrac{6}{0.2}=30[/tex]

And then the maximum is f(30)=

[tex]-0.1\cdot 30^2+6\cdot 30 +4=-90 +180+4=94[/tex]

So the maximum profit is 94 $ per day.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

Step-by-step explanation:

Berto’s train was 34 miles past the egg farm .

Eduardo’s train had 12 miles to go before it reached the egg farm.

Distance between two trains = 34 + 12 = 46 miles

This distance has to be reduced to zero for their crossing each other .

Rate at which this distance is reduced = their relative velocity

= 110 - 85

= 25 miles / h [ They are moving in the same direction ]

So, time taken for them to meet each other

= 46 / relative velocity

= 46 / 25

= 1.84 hours .

Answer:

The answer is D or 1.84 hours.

Step-by-step explanation:

I got 100% on this quiz.

Answer:

A. Undefined slope (no slope)

B. [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

A slope is rise over run.

The points (6, 2) and (6, -3) are located on the same x coordinate, therefore they have an undefined slope.

However, the points (-4, -7) and (4, 3) do have a slope. The rise is 10 ( | -7+ 3 | ) and the run is 8 ( | -4 + 4 | ). 10/8 is equivalent to 5/4.

Hope this helped!

Answer:

Triangle in isosceles, scalene or equilateral forms and

quadrilateral in trapezoid, rectangle or square forms

Step-by-step explanation:

Refer to pictures attached

Shapes can be formed are:

Trapezoid,

when perpendicular to base

Rectangle or square,

when angle cross section to base

Isosceles triangle,

when base is isosceles triangle and parallel cross section to base,

or angle cross section

Scalene triangle,

when base is scalene triangle and parallel cross section to base,

or angle cross section

Equilateral triangle,

when base is equilateral triangle and parallel cross section to base,

or angle cross section

Answer:

A

Step-by-step explanation:

The inscribed angle ABC is half the measure of its intercepted arc, thus

arc AB = 2 × 44° = 88° → A

Answer:

A

Step-by-step explanation:

The measure of an inscribed angle is half the measure of it's intercepted arc

Answer:

b.79

Step-by-step explanation:

if you look at the graph it shows its right below 80

The 79 customers are predicted to use a card to pay on a day when 90 customers pay by cash option (B) is correct.

What is the line of best fit?

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\\\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

We have a line of best fits:

y = 0.755x + 11.339

Plug x = 90

y =0.755(90) + 11.339

y = 67.95 + 11.339

y = 79.28 ≈ 79

Thus, the 79 customers are predicted to use a card to pay on a day when 90 customers pay by cash option (B) is correct.

Learn more about the line of best fit here:

brainly.com/question/14279419

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Answer: D

Step-by-step explanation:

In synthetic division, if the divisor is an expression like x+3, you should always switch it to if x+3 were equal to 0.

[tex]x+3=0\\x=-3[/tex]

So, you should use -3. The only options with -3 are B and D.

The coefficients for the dividend are 7, -2, and 4, so D is the correct answer.

Hope this helps! If you still have questions, please ask.

Answer:6 a p e x

Step-by-step explanation: