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3 years ago

Use the Law of Sines to find the missing angle of the triangle. Find m<b to the nearest tenth.

Mathematics

1 answer:

defon3 years ago

6 0

1. By the Law of Sines, you have:

SinA/a=SinB/b=SinC/c

2. You don't need the fraction SinC/c, so you can eliminate it. Then:

SinA/a=SinB/b

A=40°
a=19
B=m∠b
b=13

3. When you substitute this values into SinA/a=SinB/b, you obtain:

SinA/a=SinB/b
Sin(40°)/19=SinB/13
SinB=13xSin(40°)/19
m∠b=SinB^-1(13xSin(40°)/19)
m∠b=26.1°

Therefore, the answer is: 26.1 degrees.

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If 2x + 5 = 8x, then 12x = ?A.5B.10C.15D.20

butalik [34]

<h2>Answer:</h2> $10.\text{ Option B is correct}$

<h2>Explanation:</h2>

Given the equation expressed as:

$2x+5=8x$

First, we need to calculate the value of "x" from the given expression.

Step 1: Given the equation 2x + 5 = 8x

Step 2: Subtract 5 from both sides:

$\begin{gathered} 2x+5-5=8x-5 \\ 2x+\cancel{5}-\cancel{5}=8x-5 \\ 2x=8x-5 \end{gathered}$

Step 3: Subtract 8x from both sides

$\begin{gathered} 2x-8x=8x-8x-5 \\ -6x=\cancel{8x}-\cancel{8x}-5 \\ -6x=-5 \end{gathered}$

Step 4: Divide both sides by -6

$\begin{gathered} \frac{-6x}{-6}=\frac{-5}{-6} \\ x=\frac{5}{6} \end{gathered}$

Step 5: Get the value of 12x. Substitute x = 5/6 into the expression to have:

$\begin{gathered} 12x=12(\frac{5}{6}) \\ 12x=\cancel{12}^2(\frac{5}{\cancel{6}^1}) \\ 12x=2\times5 \\ 12x=10 \end{gathered}$

Therefore the value of 12x is 10

3 0

1 year ago

If m<3 = 54° find each measure.

oee [108]

Answer:

m<15

Step-by-step explanation:

m<15 promise ko heheh

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3 years ago

Let f(x) =x+1 and g(x)=1/x. The graph of (f o g)(x) is shown below. What is the range of (f o g)(x)?

sveta [45]

Looks like all real numbers except 1. It touch's all the y except 1 aka range

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3 years ago

Read 2 more answers

Disney held a breakfast for parents and their children to eat with Mickey and Minnie MouseAdult tickets cost $17.95 and children

ratelena [41]

This is a problem for 2 equations and 2 unknown.
so let x be the number of adults in the breakfast
y be the number of children present in the breakfast

so the total people attended is 500, in equation form
x + y = 500

and the total sales made by disney is $ 7355, in equation
17.95x + 12.95y = 7355

so we can solve the equation simultaneously so solve for the values of x and y

so the number of adults at the breakfast x = 176 adults and y = 324 children

5 0

3 years ago

Caleb and Landon work at a dry cleaners ironing shirts. Caleb can iron 30 shirts per hour, and Landon can iron 15 shirts per hou

Hitman42 [59]

Answer:

The system of the equations is x - y = 2, 2x + y = 22, where x is the number of hours that Caleb worked and y is the number of hours that Landon worked

Step-by-step explanation:

Assume that Caleb worked for x hours and Landon worked for y hours

∵ Caleb worked for x hours

∵ Landon worked for y hours

∵ Caleb worked 2 more hours than Landon

→ That means Caleb hours = Landon hours + 2

∴ x = y + 2

→ Subtract y from both sides

∴ x - y = 2 ⇒ (1)

∵ Caleb can iron 30 shirts per hour

∵ Landon can iron 15 shirts per hour

∵ They ironed 330 shirts between them

→ Multiply x by 30 and y by 15, then equate their sum by 330

∴ 30x + 15y = 330

→ Divide both sides by 15 to simplify the equation

∴ 2x + y = 22 ⇒ (2)

The system of the equations is x - y = 2, 2x + y = 22, where x is the number of hours that Caleb worked and y is the number of hours that Landon worked

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