Mathematics High School

In OPQ, the measure of Q=90°, OP = 96 feet, and PQ = 23 feet. Find the measure

of 20 to the nearest degree.

Answers

Answer 1

Answer:

[tex]O = 14^\circ[/tex]

Step-by-step explanation:

Given

[tex]\angle Q = 90[/tex]

[tex]OP = 96[/tex]

[tex]PQ = 23[/tex]

Required

Find [tex]\angle O[/tex] to the nearest degree

To calculate O, we make use of:

[tex]sin(O) = \frac{PQ}{PO}[/tex] --- See attachment for triangle

[tex]sin(O) = \frac{23}{96}[/tex]

[tex]sin(O) = 0.2396[/tex]

Take arcsin of both sides

[tex]O = sin^{-1}(0.2396)[/tex]

[tex]O = 14^\circ[/tex] -- approximated

Related Questions

What is the slope of the line?

Answers

-3/2

slope = rise/run

We can use the two points to calculate rise (y value change) and run (x value change)

slope = (-6)/4 = -3/2

if you deposit 4500 at 5% annual interest compounded annually how much money will be in the account after 30 months

Answers

Answer:

A = $ 50,978.44

Step-by-step explanation:

First, convert R percent to r a decimal

r = R/100

r = 5%/100

r = 0.05 per year,

Then, solve our equation for A

A = P(1 + r/n)nt

A = 45,000.00(1 + 0.004166667/12)(12)(2.5)

A = $ 50,978.44

Circumference = ×What is another way to write this?

Answers

Answer:

2 × pi × radius

..................

What expressions represent the sum of 2 divided by x and 15

Answers

Idiomatically speaking, to write a function “in terms of” a given variable or variables means to write an algebraic expression using only that variable or variables. So for instance, given an equation x+2y−3z=0, we can solve for z in terms of x and y as z=13(x+2y).

Order the side from greatest to least.
Η.
28°
118°
K
J
side [Select ]

Answers

Answer:

HJ>KJ>HK

Step-by-step explanation:

Side opposite to the largest angle is the largest.

Side opposite to smallest angle is the smallest.

ang K = 118° ang J = 28°

ang K + ang J + ang H = 180° (Sum of all the angles in the triangle is 180°)

118°+28°+angH=180° (Putting the values of ang K & ang J)

146°+angH=180°

ang H=180°-146°

ang H=34°

128°>34°>28°

ang K>ang H>ang J

Here, ang K is the largest, so the side opposite to it i.e. HJ will be the largest side.

Smaller than ang K and bigger than ang J is ang H, so the side opposite to it i.e. KJ will be smaller than HJ but bigger than HK.

Ang J is the smallest angle, so the side opposite to it i.e. HK will be the smallest.

HJ>KJ>HK.

could you give me the answer and not a file that gives me the answer?

Answers

Answer:

y=3x+1

Step-by-step explanation:

slope is 3 (up 3 over 1) and y-intercept is 1

What is the day after the day after tomorrow if the day before the day before yesterday was Friday ?

Answers

Answer:

Wednesday

Step-by-step explanation:

Friday is the day before the day before yesterday

Saturday is the day before yesterday

Sunday is yesterday

Monday is today

Tuesday is tomorrow

Wednesday is the day after tomorrow

Answer:

i cant seem to find ur anwser it seems confusing

Step-by-step explanation:

it is confusing

Which will yield the most money at the end of a month?

a million dollar lump sum

start with one penny, and double the amount each day for a month

there is no way to determine which will yield more money at the end of the month

Answers

Answer:do the penny we did this question in class a while ago and u make a lot more then 1 million

Step-by-step explanation:

pretty sure if u do the math its 5 million if theres 30 days in the month

1/4x1/4 as a fraction I’m sorry guys

Answers

Step-by-step explanation:

1/4x1/4

fraction =1/16

The value of the expression [tex]\frac{1}{4} * \frac{1}{4}[/tex] can be expressed as as a fraction as [tex]\frac{1}{16}[/tex]

What is fraction ?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator. Every number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

Given [tex]\frac{1}{4} * \frac{1}{4}[/tex]

Then we can multiply the numerators as well as the denominators which will gives us

[tex]\frac{1}{16}[/tex]

Learn more about fraction at;

https://brainly.com/question/78672

#SPJ6

Perform the indicated operation. (16 m2 + 40 m + 25) ÷ (4 m + 5) = _____

Answers

Answer:

hope it will help u in understanding..

if u r able to understand thn mrk it as brainliest.

Charlie grew 3/4 of an inch on her 7th birthday. Her twin sister Lucy grew 1/2 of an inch. How much more did charlie grow more than lucy?

Answers

Answer: 1/4

Step-by-step explanation: 3/4-1/2= 1/4

20 Points!!!! PLEASE help!! Math!! Due soon!!

Answers

Answer:

the first one is true, the third one is true, the fourth one is true, the fifth one is true

Step-by-step explanation:

the second one is false

Do question 2 please and fill in the blanks

Answers

Answer:

Step-by-step explanation:

n..................

3. 3(2x - 1) + 4 = 3 - 5(1 - x)

Answers

Answer:

= -3

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

Find the measures of the angles and arcs identified below

Answers

Answer:

∠a = 42.5°

∠b = 87°

∠c = 174°

∠d = 90°

∠f = 131°

There is no real roots.

So, b² - 4ac < 0

Plug in a, b and c values

8²- 4(-1)(20-b) < 0

When we multiply (-1) and (-4), we will get 4

64 + 4(20 - b) < 0

64 + 4*20 - 4b < 0

64 + 80 - 4b < 0

144 - 4b < 0

Subtract 144 from both sides

-4b < -144

Divide both side by -4 and when we are dividing by (-4), < will change to >

b > -144/-4

b > 36

So, when value of b is greater than 36, the equation will have no real roots.

Is Figure B a scale copy of Figure A?
8
LA
13
2.
1
6
Figure A
3
Figure B

Answers

Yes figure b is a copy of a

Find the value of x. Round to the nearest 10th. Plzzz help!!!

Answers

Answer:

x = 7.15

Step-by-step explanation:

Taking 33 as the reference angle,

hypotenuse = x

base = 6

Cos 33 = base/hypotenuse

Cos 33 = 6 / x

x = 6/ cos 33

x = 7.15

7.15 when it’s rounded to the nearest 10th

PLZ HELP WILL GIVE BRAINLEST HELP ASAP

Answers

Answer:

176 feet

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

find the circumference then multiply by 24 then find the answer that is the closest

show work to determine if (1,4) is a solution to the system: y - 2x = 2 and y=4x - 6

Answers

Answer:

not a solution

Step-by-step explanation:

To determine if (1, 4) is a solution to the system

Substitute x = 1, y = 4 into the equations and check validity

y - 2x = 2

y - 2x = 4 - 2(1) = 4 - 2 = 2 = right side ← True

4x - 6 = 4(1) - 6 = 4 - 6 = - 2 ≠ 4 ← False

First equation is satisfied but second is not

Thus (1, 4) is not a solution of the system

Identify the a, b and c terms from the equation 3x^2+5x-2.

Answers

A is 3x^2

B is 5x

C is -2

Answer:

a - 3

b - 5

c - -2

Step-by-step explanation:

The quadradic formula is:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

When:

[tex]ax^2+bx+c[/tex]

This is the standard form of a quadradic equation.

We have the equation:

[tex]3x^2+5x-2\\\\[/tex]

Recall the standard form.

'3' is in a's place, '5' is in b's place, and '-2' is in c's place.

Hope this helps you.

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In OPQ, the measure of Q=90°, OP = 96 feet, and PQ = 23 feet. Find the measure of 20 to the nearest degree.

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In OPQ, the measure of Q=90°, OP = 96 feet, and PQ = 23 feet. Find the measure

of 20 to the nearest degree.