In ΔOPQ, p = 38 cm, q = 29 cm and ∠O=39°. Find the length of o, to the nearest centimeter.

Answers

Answer 1
Use law of cosines

o^2=p^2+q^2-2pqCos(C)

o^2=38^2+29^2-38*29Cos(39)

o^2=1444+841-1712.83

o^2=572.17

o=23.92

Say 24 cm

Related Questions

Write a summary of how to get the area of a parallelogram.

Answers

Answer:

Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.

I hope it's helpful!

Jamal throws a bean bag into the air. This graph shows the height of the bean bag, h, in feet after t seconds.

The graph shows a parabola which opens downwards. The horizontal axis is labeled t and ranges from zero to two. The vertical axis is labeled h and ranges from zero to fourteen. The curve begins at zero, midway between four and six, then moves upwards until a point midway between zero point five and one, fourteen, then moves downwards until stopping at the t-axis at a point between one point five and two, zero.

What is the meaning of the t-intercept?


The bean bag is released when t equals zero.


The bean bag is thrown from a height of 5 feet.


The bean bag hits the ground after 1.7 seconds.


The bean bag has a speed of 1.7 feet per second when it lands.

Answers

Answer:

Step-by-step explanation:

solve for x in simplest rational form!! thx!

Answers

Answer:

X = 17

Step-by-step explanation:

Answer:

x = 17

Step-by-step explanation:

x^2 = 15^2 + 8^2 = 225+64=289

x = 17

Ms. Kumar has a checking account at the bank. If the account balance ever falls below zero, the bank charges her a fee of $5.95 per day. Today, the balance in Ms. Kumar's account is -$2.67. If she does not make any deposits or withdrawals, what will be the balance in her account after 2 days?

Answers

Answer:

-14.57

Step-by-step explanation:

5.95×2=11.90 (for the fee in 2 days) 11.90+2.67=14.57 and sense she owes money it would be -14.57

If a = 2 and b = 3, then the value of (a^b + b^a)-1 is :​

Answers

Answer:

[tex]16[/tex]

Step-by-step explanation:

Substituting [tex]a=2[/tex] and [tex]b=3[/tex] into [tex](a^{b}+b^{a})-1[/tex] gives us:

[tex](a^{b}+b^{a})-1[/tex]

[tex]=(2^{3} +3^{2})-1[/tex] (Substitute given values into expression)

[tex]=(8+9)-1[/tex] (Evaluate exponents)

[tex]=17-1[/tex] (Evaluate expression in parentheses)

[tex]=16[/tex] (Simplify)

Hope this helps!

Answer:

16

Step-by-step explanation:

Given

([tex]a^{b}[/tex] + [tex]b^{a}[/tex] ) - 1 ← substitute a = 2, b = 3

= (2³ + 3²) - 1

= (8 + 9) - 1

= 17 - 1

= 16

(a) 50% of 164 (b)75%of 12 (c) 25/2 of 64

help me in these ques

of comparing quantities

Answers

Here goes the answer. Please mark brainliest.

Ill give u brainliest if you help me tyy

Answers

Answer:

10

Step-by-step explanation:

i just kno it if it's not 10 it -11 okkkkkk

= -2x³ + x² + 2x - 6
-2(-2)³ + (-2)² + 2(-2) -6

= 16 + 4 -4 - 6
= 16-6 = 10

what do mathematicians do after a snowstorm

Answers

mathematicians make snow angels

a 9 foot ladder is placed 4 feet from the base of a building.about how high does the ladder reach

Answers

Answer:

8.06 feet

Step-by-step explanation:

use the Pythagorean theorem

9^2 = 4^2 + x^2

81 =16 +x^2

x^2 = 65

x = 8.06 feet

As an estimation we are told 5 miles is 8 km.
Convert 33.7 miles to km.

Answers

Answer: 53.92km

Explanation: First, do 8/5 to find out how many kilometers is equal to 1 mile. (The answer is 1.6.) Next, do 33.7(1.6) and you will get 53.92. Hope this helped

Answer: 20.9420 is your answer

60 POINTS!!!!

Your mother is 25 years older than you. Your father is 3 years older than your mother. The product of all three ages are 32,130. How old is your father?

Explanation would be appreciated!

Answers

Let r represents our age, m mother's age, f father's age. If mother is 25 years older than us, I+ 25 = m

If father is 3 years older than mother,

m +3 = f

The product of all three ages is 32130:

I-m.f = 32130

Substitute m with r+ 25:

m+3 =f r+ 25 + 3 = f r+ 28 = f

Substitute now f and m:

I- m.f = 32130 x(x+ 25)(x + 28) = 32130 (a2 + 25x)(x + 28) = 32130 3 + 28r2 + 25r + 700r = 32130 3 + 53r2 + 700r = 32130

Subtract 32130 from each side 3 + 53? + 700r – 32130 = 0

On the graph we can see that the only real solution is 17. > x = 17 m = 25 + 17 m = 42 f = m + 3 f = 42 + 3 f =|45

Our age is 17, Mother's age is 42 and father's age is 45.

Father’s age is 45

( sorry I know it’s too long but hope it helps )

My father is 42 years old as obtained from the cubic polynomial's real root.

What is a factor of a polynomial?

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

let my age be x years.

So, My mother is (x + 25) and my father is (x + 28) years.

{x(x + 25)(x + 28) = 32130.

(x² + 25x)(x + 28) = 32130.

x³ + 53x² + 700x = 32130.

x³ + 53x² + 700x - 32130 = 0.

Now solving this has only one real solution x = 17.

So, My father is (17 + 25) = 42 years old.

learn more about cubic polynomials here :

https://brainly.com/question/28081769

#SPJ2

Simplify the following radicals. 1. √16 2. √17 3. √18 4. √19 5. √20

Answers

Answer:

Step-by-step explanation:

[tex]1) \sqrt{16}= \sqrt{4*4}=4\\\\\\2) \sqrt{17}[/tex]

This is the simplest form as 17 is a prime number.

[tex]3) \sqrt{18}= \sqrt{2*3*3} = 3 \sqrt{2}\\\\\\4) \sqrt{19}[/tex]

19 is a prime number. so it is the simplest form.

[tex]5) \sqrt{20}= \sqrt{2*2*5}=2 \sqrt{5}[/tex]

What is the value of x in the figure?

Answers

The value of x is 27

Mr. Lincoln buys juice and water for the school picnic. A pack of 8 juice boxes ca

$5. A pack of 6 water bottles costs $3. Mr. Lincoln spends $95 for 170 juice boxes

and bottles of water.

a. Choose variables for the two unknown quantities in the problem and tell wha

each variable represents.

b. Use the variables you chose in problem 3a to write an equation for the amour

of money Mr. Lincoln spends.

c. Use the variables you chose in problem 3a to write an equation for the numbe

of drinks Mr. Lincoln buys.

d. Solve the system of equations. How many packs of juice boxes and how many

packs of water does Mr. Lincoln buy? Show your work.

SOLUTION

my

Answers

Answer:

5x + 3y = 95

8x + 6y = 170

x = 10 ; y = 15

Step-by-step explanation:

Let :

x = pack of juice boxes

y = pack of water bottles

Pack of juice box = $5

Pack of water bottles = $3

Amount of money spent :

5x + 3y = $95

Number of drinks purchased :

8x + 6y = 170

Using both equations ;

5x + 3y = 95 - - - (1)

8x + 6y = 170 - - - (2)

Multiply (1) by 6 and (2) by 3

30x + 18y = 570

24x + 18y = 510

Subtract :

6x = 60

x = 60 / 6

x = 10

Put x = 10 in (1)

5(10) + 3y = 95

50 + 3y = 95

3y = 95 - 50

3y = 45

y = 45 / 3

y = 15

x = 10 ; y = 15

Please help me with this first answer gets brainliest

Answers

Answer:

multiply both sides by 17

your supposed to do the opposite of the symbol given

Step-by-step explanation:

of the 19 total sloths that were spotted how many were not seen in the 30 - 39 interval

Answers

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

39 - 30 = 9

sally purchased 24 pencils 1/8 of the pencils are blue 1/6 of the pencils are red how many pencils are either red or blue
A. 17
B.14
C.7
D.4

Answers

Answer:

4

Step-by-step explanation:

Because the common multiple of 6 and 8 is 24 which is the amount of pencils.

1/8 x 3 equals 24 (3 because 3 times 8 gives 24)

1/6 x 4 equals 24 (4 because 4 times 6 gives 24)

At the beginning of the month, there were 80 ounces of peanut butter in the pantry. Now, there is 1/3 less than that. How many ounces of peanut butter are in the pantry now?

A.2/3⋅80

B.1/3⋅80

C.80−1/3

D.(1+1/3)⋅80

Answers

Answer:

2/3*80

Step-by-step explanation:

2/3*80, is the same as finding 1/3 of 80, and subtracting the new number from 80.

3xdegree+20degree=2xdegree-5degree sorry there is no degree sign so wrote the spelling of degree and x(it is x)

Answers

Answer:

-25

Step-by-step explanation:

3xdegree+20degree=2xdegree-5degree sorry there is no degree sign so wrote the spelling of degree and x(it is x)

We are to find x

3x + 20 = 2x - 5

Collect like terms

3x - 2x = -5 - 20

x = -25

can you put this into one sentence The Soviet team dominated the second period. The Americans scored twice in the last period. The Americans finally took the lead.

Also put two of these words in it Although or so unless.

40 points

Answers

the americans scored twice in the last period although the soviet team dominated second period, after that the americans finally took the lead

(this is english not math change your question when you have to do this again)

Solve the inequality 61 + 14c > 600.​

Answers

Answer:

c > 38.5

Step-by-step explanation:

14c > 600 - 61

14c > 539

c > 38.5

PLEASEEEEEEEE HELPPPPPPPPP I WILL GIVE BRAINLIEST

Answers

These triangles are not similar.  The triangles are not similar because the proportion 8/9 = 2/3 is false.

4 / u^2 (when u = 2)

Answers

Answer:

1

Step-by-step explanation:

We have the equation [tex]\frac{4}{u^{2} }[/tex] for u = 2.

Which would be [tex]\frac{4}{2^{2} }=\frac{4}{4}=1[/tex]

(ONLY TWO CAPITAL LETTERS) Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!! URGENT

Answers

Answer:

NI and HN

Step-by-step explanation:

The segments are both marked with a congruency mark.

what is the slope and y-intercept of y=2x-3

Answers

Answer:

slope=2x, y-intercept=-3

Step-by-step explanation:

When in slope intercept, the slope (m) is always the x (and whatever number is in front of it), and the y-intercept (b) is at the end of the equation.

Can anyone help me with this question please
I’ll mark as brainliest.

Answers

Answer:I *THINK* its C, BUT IM NOT 100% SURE

Step-by-step explanation:

Answer:

Try using math

way to help you, I know this is a point less response but try it.

explanation:

Sorry but thats all i know or look it up type it in the search bar

what solid is represented by the net

Answers

Answer:

what net. there is no net

Step-by-step explanation:

Answer: triangular prism

Step-by-step explanation:

What is the solution to this inequality 10 X +18 < -2? A--x>-2. B--x <-2. C--x>2 D--x < 2

Answers

To solve this problem we start with the following 10x+18<-2. Then we will minus 18 off both sides leaving us with 10x<-20. We can now divide by 10 giving us x<-2. So the answer is B

Ice cream sandwiches are wrapped in white paper before they are put in a box to be sold. How many ice cream sandwiches can be wrapped with 500 square inches of paper?

Answers

Answer:

9.6

Step-by-step explanation:

Which of the expressions below have exactly 2 terms? Select all that apply.
A) 3x+6
B) 7y2–8
C) 14−3y
D) 14x2+8x+16

Answers

..........The answer is D
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