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3 years ago

The diagram shows a right angle triangle find the size of x give your answer to 1 decimal place

Mathematics

1 answer:

Verizon [17]3 years ago

7 0

Answer:

34.9°

Step-by-step explanation:

SOH

CAH

TOA

SOH ... sin(x) = 8/14

arcsin(8/14) = 34.85°

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Bailey has an hour to get ready for school. She spends 3/6 of the time getting dressed. She spends 1/4 of that time eating break

Katen [24]

Well, to find out whether she spent more time getting dressed or eating breakfast, we simply have to compare the fractions of the hour that she took on each.
We know that she took 3/6 of an hour to get dressed and 1/4 of an hour to eat breakfast. To find out which activity she spent more time on, we simply need to see which fraction is bigger.
To do this, we must first reduce the fractions to lowest terms. 1/4 is already in lowest terms, so we can leave that alone. 3/6 can be reduced, however, and since 3 goes into 6 twice, it reduces to 1/2.
Now, we can compare the fractions.
Is 1/2 of an hour or 1/4 of an hour more?
The answer is 1/2, so now we know that Bailey spent more time getting dressed than eating breakfast.
Hope that helped! =)

6 0

3 years ago

Rewrite the explicit formula in function form. The identify the y

Katyanochek1 [597]

Answer: y-intercept: (0, 12)

Step-by-step explanation:

$a_n$ = 9 − 3 (n − 1)

Use the slope-intercept form to find the slope and y-intercept.

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

y = mx + b

Find the values of m and b using the form y = mx + b.

m = −3

b = 12

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: −3

intercept: (0, 12)

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

Find the x-intercept.

To find the x-intercept(s), substitute in 0 for y and solve for x.

0 = −3x + 12

Solve the equation.

Rewrite the equation as −3x + 12 = 0.

−3x + 12 = 0

Subtract 12 from both sides of the equation.

−3x = −12

Divide each term by −3 and simplify.

x = 4

x-intercept(s) in point form.

x-intercept(s): (4, 0)

Find the y-intercept.

To find the y-intercept(s), substitute in 0 for x and solve for y.

y = −3 ⋅ 0 + 12

Solve the equation.

Remove parentheses.

y = −3 ⋅ 0 + 12

Simplify −3 ⋅ 0 + 12.

y = 12

intercept(s) in point form.

intercept(s): (0, 12)

Create a table of the x and y values.

0 | 12

4 | 0

Graph the line using the slope and the y-intercept, or the points.

Slope: −3

intercept: (0, 12)

6 0

3 years ago

Meagan invests $1,200 each year in an IRA for 12 years in an account that earned 5% compounded annually. At the end of 12 years,

Sunny_sXe [5.5K]

Answer:

12000

Step-by-step explanation:

12000

5 0

3 years ago

Is 5/6 greater less than or equal 2/3

olga55 [171]

5/6 is greater than 2/3

Multiply both numerator & denominator by 2 in order to have common denominators, 2/3 * 2/2 = 4/6
Now, you can see, 5 is greater than 4, in the numerator so 5/6 would be greater

Hope this helps!

5 0

4 years ago

Read 2 more answers

How much of the circle is shaded? Write your answer as a fraction in simplest form? 3/7 and 1/3 isn't shaded

LekaFEV [45]

Answer:

$total = 1 \\ \frac{1}{2} + \frac{1}{7} + x = 1 \\ \frac{1}{7} + x = 1 - \frac{1}{2} \\ \frac{1}{7} + x = \frac{1}{2} \\ x = \frac{1}{2} - \frac{1}{7} \\ x = \frac{7 - 2}{7 \times 2} \\ x = \frac{5}{14} \\ \\ shaded \: portin \: = \frac{5}{14} \\ thank \: you$

7 0

3 years ago

Read 2 more answers