A figure is shown.

What is the value of m?
___ degrees

Answer:

m∠A = 30°

m∠B = 80°

m∠C = 70°

Step-by-step explanation:

By applying cosine rule in the given triangle,

b² = a² + c² - 2ac[cos(∠B)]

From the given triangle,

a = 14 m

b = 28 m

c = 24 m

(28)² = (14)² + (24)² - 2(14)(24)cos(B)

784 = 196 + 576 - 672cos(∠B)

cos(∠B) = 0.1786

∠B = [tex]\text{cos}^{-1}(0.1786)[/tex]

∠B = 79.71°

∠B = 80°

By applying sine rule in the given triangle,

[tex]\frac{\text{sinA}}{a}= \frac{\text{sinB}}{b}= \frac{\text{sinC}}{c}[/tex]

[tex]\frac{\text{sinA}}{14}= \frac{\text{sin(79.71)}}{28}= \frac{\text{sinC}}{24}[/tex]

[tex]\frac{\text{sinA}}{14}= \frac{\text{sin(79.71)}}{28}[/tex]

[tex]\text{sinA}= \frac{\text{sin(79.71)}\times 14}{28}[/tex]

sinA = 0.491958

A = 29.47°

A ≈ 30°

By applying triangle sum theorem,

m∠A + m∠B + m∠C = 180°

30° + 80° + m∠C = 180°

m∠C = 70°

Answer:

x+2/x-3

Step-by-step explanation:

= x/x-3 + 2(x+1)/(x-3)(x+1)

= x+2/x-3

Answer:

24750/21950 = 1.12756 or 112.756% of the original price. 12.76% is the correct answer.

Step-by-step explanation:

Answer:

24750 ÷ 21950 = 17.31% as the original price

Step-by-step explanation:

Answer:

5/10

Step-by-step explanation:

4/8 =1/2

5/10=1/2 so that it

Answer:

the answer is 6 extra inches

Step-by-step explanation:

im assuming she cut off 2 feet of ribbon which is also known as 24 inches so the you just do 24 - 18 = 6

Answer:

1.75(x)

Step-by-step explanation:

you can make an algebraic expression to make this simpler. if x = the number of tickets. then, you want to create the expression. it will be ....    1.75(x).

you plug whatever number you need for the table in as x. for example, if you want to see how much money diego would make for 6 tickets you write   1.75*6

Answer:

B Increase: 1, 6

B Decrease: 2, 5

Step-by-step explanation:

Brainliest plz ;)

Answer:

x = 10.57 ft

Step-by-step explanation:

cos 41° = x/14

0.7547 = x/14

x = 10.57 ft

Answer:

what-

Step-by-step explanation:

Answer:

well uhm

Step-by-step explanation:

Answer:

solution given:

x²+4x

a.x(x+4)=x²+4x[true]

b.(x+2)²=x²+4x+4[false]

c.(x+x)(x+4)=2x²+8x[false]

d.(x+2)²-4=x²+4x+4-4=x²+4x[true]

e.(x+4)x=x²+4x[true]

Step-by-step explanation:

your selection is;

A.

D.

E.

Answer:

1 i think hope this can help you with your problem

Answer:

1

Step-by-step explanation:

Answer:

A number that can be made by dividing two integers (an integer is a number with no fractional part). The word comes from "ratio". But π (pi) is not a rational number, it is an "Irrational Number".

Step-by-step explanation:

mark me please

Answer:

Since rational numbers are all numbers that can be written as a fraction, and includes positive numbers, negative numbers and the 0. We can conclude that since -3.4 can be written as a fraction it is a rational number.

Answer:

-10/7

Step-by-step explanation:

w - 5 = 8w + 5

w - 8w = 5 + 5

-7w = 10

w = - 10/7

Answer:

Step-by-step explanation:

To solve this equation, group like terms together:  'w' terms on the right and constants on the left:

-10 = 7w.  Then:

w = -10/7 (exact) or w ≈ 1.43

Answer:

2

Step-by-step explanation:

12.6 divided by pi= 4.01

sqaure root of 4 is 2

Answer:

i got u fam

its 4x^6 + 10

Answer:

x = ±7

x=7, -7

Step-by-step explanation:

x^2 = 49

Take the square root of each side

sqrt(x^2) = sqrt(49(

x = ±7

Answer:

410

Step-by-step explanation:

Revenue is given by the relation :

x . (4,920 - 6x)

F(x) = 4920x - 6x²

To obtain the price, x which maximizes revenue, we take the first derivative of the revenue function and equate to 0

F'(x) = 0

F'(x) = 4920 - 12x

4920 - 12x = 0

-12x = - 4920

x = 4920 / 12

x = 410

Price will be 410

Answer :

$38 + $2(n) where n is the no. of cars.

Step-by-step explanation:

He earns $38 daily which is fixed and additional $2 wage depends on the no. of cars which means no. of cars will determine how many $2's he earns.

25 cars = $38 + $2 (25) = $88

30 cars = $38 + $2 (30) = $98

35 cars = $38 + $2 (35) = $108

40 cars = $38 + $2 (40) = $118

Answer:

24) D. 5

25) C. $40

Step-by-step explanation:

........

Answer:

-1104

Step-by-step explanation:

(−23)(48)

= (−1104)

Give me Brainllest

Answer:

G. $7.75 per hour

Step-by-step explanation:

You can choose any of the three functions and divide the amount of pay by the hours worked, for example,

15.50/2=7.75

or

31/4=7.75

or

46.50/6=7.75

They're all the same rate so it doesn't really matter.

Answer:

(Cake, Lime)

(Sugar, Strawberry)

(Waffle, Strawberry)

Step-by-step explanation:

Answer:

(cake,lime), (sugar,strawberry), (waffle,strawberry).

Step-by-step explanation:

Answer: B I believe

Step-by-step explanation:

Answer:

150.8

Let me know if you need an explanation.

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

m<3 = 97

m<10 = 97

m<9 = 83

m<5 = 97

m<7 = 83

m<16 = 97

Step-by-step explanation:

m<3 = m<2 because of vertical angles

m<10 = m<2 because of corresponding angles

m<9 + 97 = 180

m<9 = 83

m<5 + 83 = 180

m<5 = 97

m<7 = m<6 because of vertical angles

m<16 = m<5 because of alternate exterior angles.

Answer:

Abc= D= 2.94C

Step-by-step explanation:

Answer:

Step-by-step explanation:

decimal periodico mixto es un decimal en el que al menos uno de los dígitos después del punto decimal no se repite y algunos dígitos se repiten .

Estos decimales son racionales

Los que no se repiten y no se treminan son irracionales