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2 years ago

Food bill before tax $62 Sales tax: 8% Tip: 15% What is the tax?

Mathematics

1 answer:

professor190 [17]2 years ago

8 0

<h3>Answer: $4.96</h3>

Work Shown:

8% = 8/100 = 0.08

8% of 62 = 0.08*62 = 4.96

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In ⊙O, ST and VT are tangents. m∠STV = 22°. Find the value of a, b, and m∠SOV.

Rasek [7]

Answer:

$\huge \orange {\boxed {a =202\degree}}$

$\huge \purple {\boxed { b = 158\degree}}$

$\huge \red {\boxed {m\angle SOV = 158\degree}}$

Step-by-step explanation:

In $\odot$ O, ST and VT are tangents at points S and V respectively.

$\therefore OS\perp ST, \:and\: OV\perp VT$

$\therefore m\angle OST=m\angle OVT = 90\degree$

In quadrilateral OSTV,

$m\angle SOV +m\angle OST+m\angle OVT+m\angle STV = 360\degree$

(By interior angle sum postulate of a quadrilateral)

$m\angle SOV +90\degree +90\degree +22\degree = 360\degree$

$m\angle SOV +202\degree = 360\degree$

$m\angle SOV = 360\degree-202\degree$

$\huge \red {\boxed {m\angle SOV = 158\degree}}$

$\because b = m\angle SOV$

(Measure of minor arc is equal to measure of its corresponding central angle)

$\huge \purple {\boxed {\therefore b = 158\degree}}$

$\because a + b= 360\degree$

(By arc sum property of a circle)

$\therefore a = 360\degree - b$

$\therefore a = 360\degree -158\degree$

$\huge \orange {\boxed {\therefore a =202\degree}}$

6 0

3 years ago

ANY MATH EXPERTS PLS HELP RN I GOT 30 MIN LEFT I'LL PUT BRAINLIEST TO WHOEVER ANSWERS CORRECTLY FIRST

Rashid [163]

Answer:

y = -4x + 5

Step-by-step explanation:

7 0

2 years ago

For spirit week at a local high school, students were encouraged to wear their school colors of green and white. 1,200 students

Sergeu [11.5K]

Answer:

80%

Step-by-step explanation:

We are told that 1,200 students wore their school colors of green and white.

Also, we are told that 300 students did not wear school colours green and white.

Thus, total number of students = 1200 + 300 = 1500

Thus;

percent of the school population who wore their school colors is; (1200/1500) × 100% = 80%

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3 years ago

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The measure of an angle is 38.1 degrees. What is the measure of its supplementary angle

Dmitriy789 [7]

Answer:

141.9°

Step-by-step explanation:

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2 years ago

Is the m in mx+b=y the growth

Shalnov [3]

The "m" in y = mx + b is the <u>slope.</u>

It is the number of units a point goes up, down, left, or right each time. Making the line linear/straight.

$m = \frac{rise}{run}$

"rise" is the the number of units you go up(+) or down(-), "run" is the number of units you go to the right

For example, if your slope is:

$\frac{1}{2}$

You are going up 1 unit, and to the right 2 units

3 or $\frac{3}{1}$

You are going up 3 units, and to the right 1 unit

$-\frac{1}{2}$

You are going down one unit, and to the right 2 units

-3 or $-\frac{3}{1}$

You are going down 3 units, and to the right 1 unit

4 0

3 years ago

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