A 25/9
B 125/9
C 32
D 64

Answer:

[tex]A = 100^o[/tex]

[tex]B = 43.0^o[/tex]

[tex]C =37.0^o[/tex]

Step-by-step explanation:

Given

[tex]A = 100^o[/tex]

[tex]b = 51[/tex]

[tex]c =45[/tex]

Required

Complete the triangle (See attachment)

First, calculate side a using cosine's equation

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

[tex]a^2 = 51^2 + 45^2 -2*51*45 \cos (100^o)[/tex]

[tex]a^2 = 4626 -4590 *-0.1736[/tex]

[tex]a^2 = 4626+ 796.8[/tex]

[tex]a^2 = 5422.8240[/tex]

Take square roots

[tex]a = 73.6398[/tex]

The measure of B and C can then be calculated using sine's equation

[tex]\frac{a}{\sin A} =\frac{b}{\sin B} =\frac{c}{\sin C}[/tex]

So:

[tex]\frac{73.6398}{\sin (100)} =\frac{51}{\sin B}[/tex]

[tex]\frac{73.6398}{0.9848} =\frac{51}{\sin B}[/tex]

Cross multiply

[tex]\sin B * 73.6398 = 51 * 0.9848[/tex]

[tex]\sin B * 73.6398 = 50.2248[/tex]

Solve for sin B

[tex]\sin B = \frac{50.2248}{73.6398}[/tex]

[tex]\sin B = 0.6820[/tex]

Take arc sin of both sides

[tex]B = \sin^{-1}(0.6820)[/tex]

[tex]B = 43.0^o[/tex]

To calculate C, we make use of:

[tex]A + B + C = 180^o[/tex] --- angles in a triangle

[tex]100 + 43 + C = 180[/tex]

[tex]143 + C = 180[/tex]

Collect like terms

[tex]C =180-143[/tex]

[tex]C =37.0^o[/tex]

Answer:

Angle B = 29.74

Step-by-step explanation:

Tan(x)=opp/adj

Tan(x)=4/7

x=[tex]Tan^{-1} (\frac{4}{7} )[/tex]

x=29.74

Answer: y<-10

Step-by-step explanation:

i hope this help :)

Answer:

y<-10

Step-by-step explanation:

-3y+80>110

     -80  -80

-3y>30

-y>10

y<-10  (when deviding by a negative, > switches to <)

In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). For example, 3x2 − 2xy + c is an algebraic expression.

5x−4x=3

Step 1: Simplify both sides of the equation.

5x−4x=3

5x+−4x=3

(5x+−4x)=3(Combine Like Terms)

x=3

x=3

Answer:

x=3

Answer: A three-dimensional figure has a length, a width, and a height. A net is a two-dimensional pattern of a three-dimensional figure, that can be folded to form the figure. Identify the net that we could fold in order to create this 3D figure. Match the 3D figure to the right with its appropriate net, below.

Answer:

2 bicycles

Step-by-step explanation:

as there were 5 bicycles and tricycles

now,

total no.of wheels = 16

2x + 3(6 - x) = 16

2x + 18 - 3x= 16

2 - x = 0

2 = x

therefore, there are 2 bicycles.

Answer:

Step-by-step explanation:

15% of 400

15/100*400

15*400/100

6000/100

60

therefore ur answer is 60

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{15}{100} \times 400 \\ =15 \times 4 \\ = 60 [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

D) line graph

Step-by-step explanation:

There is two lines on the graph that have points on each which makes this graph a line graph.

Hope this helped :)

Answer:

its a line graph

Step-by-step explanation:

is a graph that uses lines to connect individual data points displaying quantitative values over a specified time interval.

Answer:

1340-

Step-by-step explanation:

Answer:

The largest pizza has a total surface area of 1,261.65 m² (13,580.28 ft²) and was prepared by Dovilio Nardi, Andrea Mannocchi, Marco Nardi, Matteo Nardi and Matteo Giannotte (all Italy) from NIPfood at Fiera Roma, in Rome, Italy, on 13 December 2012.

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

50???

Answer:

sin49° = 0.75471

sin 49° = 0.75471

sin 49 degrees = 0.75471

Step-by-step explanation:

Answer:

Use MATH.WAY, it will help with any math problem

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

hope this helps

Answer:

it's 3 by 10

just take l.c.m

Answer:

58 years old

Step-by-step explanation:

24/-3 is -8

-8+-7 is -15

-15*-4 is 60

60-2 is 58

Step-by-step explanation:

MEDIAN

71, 81, 89, 92, 93, 94, 94, 99

92 + 93 = 185 / 2 = 92.5

The median is 92.5

MODE

71, 81, 89, 92, 93, 94, 94, 99

The mode is 94

Answer:

3:1

Step-by-step explanation:

If you look at the sides, they all have the same factor of three, and dividing by three gets you to the smaller rectangular prism.

Answer:

89 b

Step-by-step explanation:

Rotating the figure about the y-axis results in the creation of a cylindrical figure of radius 2 units and 6 units tall.

volume = length x width x height

volume = 5m x 6m x 3m = 90 m³

The given triangle is a Right angled triangle,

By applying trigonometry :

[tex] \boxed{\tan( \theta) = \frac{opposite \: \: side}{adjacent \: \: side} }[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

The maximum number of works that he can write while staying in his time budget is 24.

21 poems and 3 short stories

Step-by-step explanation:

In order to solve this problem we must first determine what our variables are. In this case it's the number of poems and short stories he can write.

p = # of poems

s = # of short stories

Next, we must build our objective function which will represent the total number of works he can write.

N=p+s

where N is the number of works.

Next, we must write the constrains based on the information provided by the problem.

The problem tells us that it takes him 30 hours to write a poem and 70 hours to write a short story and that he has 840 hours available to write them, so that constrain will be the following:

[tex]30p+70s \leq 840[/tex]

it also tells us that he wants to write at least 4 poems and 3 short stories so there we have our other two constrains.

[tex]p \geq 4[/tex]

[tex]s \geq 3 [/tex]

once we got our constrains we can go ahead and graph them to see how they will behave. (See attached picture)

In the graph p is the horizontal axis and s is the vertical axis.

On the graph we can see a polygon that is formed by the restriction. The vertices of the polygon will represent the optimal conditions for this linear programming problem. There are three optimal solutions there, so we need to test them to see which will return the greatest number of works he can write while keeping the given conditions.

Option 1:

4 poems and 3 short stories

N=4+3

N= 7 works

Option 2:

4  poems and 10 short stories

N=4+10

N=14 works

Option 3:

21 poems and 3 short stories

N=21+3

N=24 works

So the optimal solution will be given by option 3 with 21 poems and 3 short stories.

Answer:

$15 per hour

Step-by-step explanation:

30 hours per week x 52 weeks in a year = 1560 hours per year

23,400 / 1560 = $15 per hour

4/9 of the students are boys thus 5/9 students are girls.

Let " x " be the number of all students.

So we have :

5/9 × x = 90

Multiply both sides by 9/5

5/9 × 9/5 × x = 90 × 9/5

1 × x = 9 × 9 × 10 × 1/5

x = 81 × 2

x = 162

_______________________________

number of boys = 4/9 × x

n o boys = 4/9 × 162

n o boys = 162/9 × 4

n o boys = 18 × 4

n o boys = 72

Answer:

The answer to ur question should be, A Object A

Answer:

a

Step-by-step explanation:

Answer:

3.$0.9

5.9:3 =3:1

Step-by-step explanation:

3.$5.40÷6=$0.9

Answer:

y = -2/3 x + 6

Step-by-step explanation:

Using the coordinates (1, 16/3) and (3,4)

Slope m = 4-16/3/3-1

Slope m = -4/3 * 1/2

Slope m = -2/3

For the y-intercept

Substitute (3,4) and m = -2/3 into y  =mx+b

4 = -2/3(3) + b

4 = -2 + b

b = 4 + 2

b = 6

Get the required equaton;

Recall that y = mx+b

y = -2/3 x + 6

Answer:

The answer is D

Hope this helps!

Brainliest??

Answer:

D

Step-by-step explanation:

the answer is D because if she already made 7 she need to add n to 7 to get 40 or greater