Which set of three angles could represent the interior angles of a triangle?

Answer:

it would be -11x^2+11x-4

Answer:

[tex]\sin L = \frac{3}{5}[/tex]

[tex]\tan N = \frac{4}{3}[/tex]

[tex]\cos L = \frac{4}{5}[/tex]

[tex]\sin N = \frac{4}{5}[/tex]

Step-by-step explanation:

Given

The above triangle

First, we calculate the length LM using Pythagoras theorem.

[tex]LN^2 = LM^2 + MN^2[/tex]

[tex]10^2 = LM^2 + 6^2[/tex]

[tex]100 = LM^2 + 36[/tex]

Collect like terms

[tex]LM^2 = 100 - 36[/tex]

[tex]LM^2 = 64[/tex]

Take positive square root

[tex]LM=8[/tex]

Solving (a): Sin L

[tex]\sin L = \frac{Opposite}{Hypotenuse}[/tex]

[tex]\sin L = \frac{MN}{LN}[/tex]

[tex]\sin L = \frac{6}{10}[/tex]

Simplify

[tex]\sin L = \frac{3}{5}[/tex]

Solving (b): tan N

[tex]\tan N = \frac{Opposite}{Adjacent}[/tex]

[tex]\tan N = \frac{LM}{MN}[/tex]

[tex]\tan N = \frac{8}{6}[/tex]

Simplify

[tex]\tan N = \frac{4}{3}[/tex]

Solving (c): cos L

This calculated as:

[tex]\cos L = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos L = \frac{LM}{LN}[/tex]

[tex]\cos L = \frac{8}{10}[/tex]

Simplify

[tex]\cos L = \frac{4}{5}[/tex]

Solving (d): sin N

This is calculated using:

If [tex]a + b = 90[/tex]

Then: [tex]\sin a = \cos b[/tex]

So:

[tex]\sin N = \cos L[/tex]

[tex]\sin N = \frac{4}{5}[/tex]

Answer:

A is the answer

Step-by-step explanation:

-X* - Y= XY

We are given the Geometric Series:

[tex]2 + \frac{2}{3} + \frac{2}{9} + \frac{2}{27} + \frac{2}{81} + \frac{2}{243} + \frac{2}{729}[/tex]

which can be rewritten as:

[tex]2 + \frac{2}{3} + \frac{2}{3^{2} } + \frac{2}{3^{3}} + \frac{2}{3^{4}} + \frac{2}{3^{5}} + \frac{2}{3^{6}}[/tex]

here, we can see that every term is (1/3) times the last term

Hence, we can say that the common ratio of this Geometric Series is 1/3

Finding the Sum:

We know that the sum of a Geometric Series is:

[tex]S_{n} = \frac{a(r^{n}-1)}{r-1}[/tex]

(where r is the common ratio, a is the first term, and n is the number of terms)

another look at the given Geometric Series tells us that the first term is 2 and the number of terms is 7

plugging these values in the formula, we get:

[tex]S_{n} = \frac{2((1/3)^{7}-1)}{(1/3)-1}[/tex]

[tex]S_{n} = \frac{-1.99}{-0.67}[/tex]

Sₙ = 2.97

Step-by-step explanation:

[tex] \tt2 + \frac{2}{3} + \frac{2}{ {3}^{2} } + \frac{2}{ {3}^{3} } + \frac{2}{ {3}^{4} } + \frac{2}{ {3}^{5} } + \frac{2}{ {3}^{6} } [/tex]

r = [tex]\tt{a_2 \div a_1}[/tex]

r = [tex]\tt{\frac{2}{3} \div 2}[/tex]

r = [tex]\tt{\bold{\frac{1}{3}}}[/tex]

Soo :

[tex] \sf s_n = \frac{a( {r}^{n} - 1) }{r - 1} [/tex]

[tex] \sf s_7 = \frac{2(( \frac{1}{3} ) {}^{7 - 1} - 1) }{( \frac{1}{3} - 1) } [/tex]

[tex] \sf s_7 \approx \bold{ \underline{2.97}}[/tex]

Answer:

Student H

Step-by-step explanation:

He did the most amout of assiments in the least amout of time

Answer:

Student G

Step-by-step explanation:

They did 7 assignments in 8 hours, while student B did 3 in 8 hours

I think

Answer:

No solution

Step-by-step explanation:

1. Distribute the right side.

8w+5=8w+4

2. This has no solution.

Any angle that measures less than 90 degrees

Answer:

28 degrees

Step-by-step explanation:

The given figure is an octagon. The sum of interior angles in an octagon is 1080. Thus, one can form an equation, add up all of the angle measures, and set the equation equal to 1080. Then simplify and use inverse operations to find the value of the parameter (t).

(150) + (3t + 34) + (5t) + (5t) + (3t + 37) + (7t - 49) + (5t - 16) + (5t) = 1080

Simplify,

33t + 156 = 1080

Inverse operations,

33t + 156 = 1080

      -156       -156

33t = 924

/33     /33

t = 28

A because the circle is empty and the line is going backwards

Answer:

f = 9c 5 + 288/5

Step-by-step explanation:

Answer:

just count how many shapes like the front triangle is one face

Answer:

2 triangle faces, 3 rectangle faces. Thank me later

Answer:

Charlotte started with 65.

Step-by-step explanation:

In order to find what number Charlotte started with, we need to go backward. So first, multiply by 2, then multiply by 5/6. 39 multiplied by 2 is 78, which is 6/5 of the number Charlotte started with. So what we need to do is multiply 78 by 5/6. That equals 390/6, which is 65. The problem has been solved. Charlotte started with 65.

Answer:

A) can be used to conduct a test about a hypothesized population regression function slope.

Step-by-step explanation:

A least squares regression line is a standard technique in regression analysis used to make the vertical distance obtained from the data points running to the regression line to become very minimal or as small as possible.

In Mathematics, residuals are used to measure or determine whether or not the line of regression is a good fit or match for the data by subtracting the difference between them i.e the predicted y value and the actual y value, for the x value respectively.

The confidence interval for the sample regression function slope can be used to conduct a test about a hypothesized population regression function slope.

Answer:

n=11

Step-by-step explanation:

(11-2) 180

9×180=1620

Ani do niot know lol

Step-by-step explanation:

Answer:

J. 20ft

Step-by-step explanation:

1 2/3 = 5/3

5/3 * 12/1 = 60/3

60/3 = 20

Answer:

25

100

55

Step-by-step explanation:

Givens

Let the first angle = x

Let the second angle = 4x

Let the third angle = 2x + 5

All triangles have 180

Equation

x + 4x + 2x + 5 = 180

Solution

Begin by combining like terms

7x + 5 = 180

7x = 180 - 5

7x = 175

7x/7 = 175/7

x = 25

Answer

First angle = x    =          25

Second angle = 4x =    100

Third angle = 2x + 5 =    55

Total                               180

Answer:

122

Step-by-step explanation:

122 + 58 = 180

Answer:

x=122°

Step-by-step explanation:

58° and x form a straight angle, which is 180°.

x+58°=180°

x=180°-58°=122°

Answer:

The answer would be B  [tex]120ft^{3}[/tex]

Step-by-step explanation:

volume of triangular prism is 30 and volume of the cube is 90 :)

Answer:

Most likely 1/2 of a chance to get it and 1/6 of a chance to roll a 5 or 6

The midpoint of the tallest bar of the histogram is the mode of the data point.

Graph is a graphical representation that shows the relationship between a group of points. Types of graphs are histogram, bar chart, pie chart etc.

A histogram is a graphical representation that arranges a group of data points into specific ranges.

The midpoint of the tallest bar of the histogram is the mode of the data point.

Find out more on histogram at: https://brainly.com/question/2962546

#SPJ2

Answer:

Step-by-step explanation:Hello How Is Your Day

We know that,

→ Area of circle = πr²

→ Area of circle = π × (6)²

→ Area of circle = π × 36

→ Area of circle = 36π

What is the area of a circle with a radius of 6 inches?

We know,

Radius = 6 inches (Given)

So, Area of circle = π(6)² = 36π in²

The area of a circle with a radius of 6 inches is 36π in².

Hence, option (c) 36π in² is correct. [Answer]

Answer:

435 in.²

Step-by-step explanation:

Surface area of the square pyramid = area of the square base + ½(Perimeter of base)(slant height)

Area of base = s²

s = 15 in

Area = 15² = 225 in²

Perimeter of the base = 4(15) = 60 in

Slant height = 7 in

Surface Area = 225 + ½(60)(7)

= 435 in.²

Answer:

0 (option a)

Explanation:

for a number to be divisible by 5, it has to end with the digits 0 or 5. for a number to be divisible by 3, the sum of all its digits has to be divisible by 3.

for 63215: 6 + 3 + 2 + 1 + 5 = 17 (not divisible by 3)

for 63210: 6 + 3 + 2 + 1 + 0 = 12 (divisible by 3)

thus, the missing digit is 0.

i hope this helps! :D

Answer:

-12/5

Step-by-step explanation:

He sold 28 at 0.75 cents and sold 21 at 0.99 cents.

0.85 is between 0.75 and 0.99 so he sells between 21 and 28 donuts.

0.85 is closer to 0.75 ,so the number should be closer to28.

The answer should be b)25

Answer:

log(7) will be the correct answer.

Step-by-step explanation:

[tex]\text{\frac{14}{3}}+\text{log}(\frac{11}{5})-\text{log}(\frac{22}{15})[/tex]By using law of logarithm to solve the given expression,

1). [tex]\text{log}(m)+\text{log}(n)=\text{log(mn)}[/tex]

2). [tex]\text{log(m)}-\text{log(n)}=\text{log}(\frac{m}{n})[/tex]

By applying these rules, we can simplify the given expression,

[tex]\text{log}(\frac{14}{3})+\text{log}(\frac{11}{5})-\text{log}(\frac{22}{15})[/tex]

[tex]\text{log}(\frac{14}{3})+\text{log}(\frac{11}{5})-\text{log}(\frac{22}{15})=\text{log}(\frac{\frac{14}{3}\times \frac{11}{5}}{\frac{22}{15}})[/tex]

                                          [tex]=\text{log}(\frac{\frac{154}{15}}{\frac{22}{15}})[/tex]

                                          = [tex]\text{log}(\frac{154}{15}\times \frac{15}{22})[/tex]

                                          = log(7)

Therefore, log(7) will be the correct answer.

Answer:

JIG and JIL

Step-by-step explanation:

Adjacent angles share a side

I hope this helps :)

Answer:

JIG and JIL

Step-by-step explanation:

cuz adjecent angles add up to 180 degrees.

Hope this helps :)