All categories

3 years ago

Write 2 expressions using trigonometric ratios that are equivalent to 40/41.

Mathematics

1 answer:

Whitepunk [10]3 years ago

7 0

Answer:

cos(F) = 40/41

sin(G) = 40/41

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

... Sin = Opposite/Hypotenuse

... Cos = Adjacent/Hypotenuse

In your triangle 41 is the hypotenuse, so these two ratios are appropriate ones to use. The side of length 40 is adjacent to angle F, so

... cos(F) = 40/41

and the side of length 40 is opposite angle G, so

... sin(G) = 40/41

You might be interested in

Reuben bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $150 more than the desktop. He p

cupoosta [38]

Same case as Pablo's, more or less.

a = price for the desktop

b = price for the laptop

we know the laptop is 150 bucks more than the desktop, b = a + 150.

how much is 7% of a? (7/100) * a, 0.07a.

how much is 9.5% of b? (9.5/100) * b, 0.095b.

total interests for the financing add up to 303, 0.07a + 0.095b = 303.

$\bf \begin{cases}
\boxed{b}=a+150\\
0.07a+0.095b=303\\
----------\\
0.07a+0.095\left(\boxed{a+150} \right)=303
\end{cases}
\\\\\\
0.07a+0.095a+14.25=303\implies 0.165a=288.75
\\\\\\
a=\cfrac{288.75}{0.165}\implies a=1750$

how much was it for the laptop? well b = a + 150.

8 0

3 years ago

A laptop has a listed price of $667.95 before tax. If the sales tax rate is 7.75%, find the total cost of the laptop with sales

Eva8 [605]

Answer:

$719.72

Step-by-step explanation:

4 0

3 years ago

Write an equation for the line that passes through the points (-5, 4) and (3, -2)

Vika [28.1K]

Find the slope:

y2 - y1/x2 - x1

plug in our values: -2-4/3-5

subtract: -6/-2

divide: 3/1

m = 3/1

now we need to put it in point slope form:
y - y1 = m(x - x1)

plug in our values: y - 4 = 3(x-5)

distribute the 3 to the values inside the parentheses by multiplication:

y - 4 = 3x - 15

get y by itself by getting rid of the 4 through addition:

y - 4 + 4 = y
3x - 15 + 4 = 3x - 11

equation for this line: y = 3x - 11

4 0

3 years ago

Determine the slope of the points (-2, -7) and (0, -1)

Radda [10]

Answer:

First let's find the slope of the line through the points and

Note: is the first point . So this means that x%5B1%5D=-2 and y%5B1%5D=0.

Also, is the second point . So this means that x%5B2%5D=0 and y%5B2%5D=3.

m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula.

m=%283-0%29%2F%280--2%29 Plug in y%5B2%5D=3, y%5B1%5D=0, x%5B2%5D=0, and x%5B1%5D=-2

m=%283%29%2F%280--2%29 Subtract 0 from 3 to get 3

m=%283%29%2F%282%29 Subtract -2 from 0 to get 2

So the slope of the line that goes through the points and is m=3%2F2

Now let's use the point slope formula:

y-y%5B1%5D=m%28x-x%5B1%5D%29 Start with the point slope formula

y-0=%283%2F2%29%28x--2%29 Plug in m=3%2F2, x%5B1%5D=-2, and y%5B1%5D=0

y-0=%283%2F2%29%28x%2B2%29 Rewrite x--2 as x%2B2

y-0=%283%2F2%29x%2B%283%2F2%29%282%29 Distribute

y-0=%283%2F2%29x%2B3 Multiply

y=%283%2F2%29x%2B3 Simplify

So the equation that goes through the points and is y=%283%2F2%29x%2B3

Notice how the graph of y=%283%2F2%29x%2B3 goes through the points and . So this visually verifies our answer.

Graph of y=%283%2F2%29x%2B3 through the points and

Step-by-step explanation:

3 0

2 years ago

How do I add, 1/2 + 3/4

Ghella [55]

3/4= 2/4

So that means to add 2/4+3/4=5/4= 1 whole and 1/4

8 0

3 years ago

Read 2 more answers