Mathematics High School

Solve the triangle for all missing sides and angles

Answers

Answer 1

Answer:

a=9

c= 17.5

angles: a =31, b =59, c =90

Step-by-step explanation:

tan (31) = a/15 *cross multiply*

a = 15 (tan (31))

a = 9

*use pythagorean theorum*

9^2 + 15^2 = c^2

81 + 225 = c^2

306 = c^2

17.5 = c

Answer 2

Answer:

B = 59

a = 9.01

c = 17.49

Step-by-step explanation:

Angle B

180 - 90 - 31 = 59

The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.

sin(B)=opp/hyp

sin(B)=15/c

sin(59)=15/c

c=15/sin(59)

c=17.49

Find the last side of the triangle using the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\a^{2} +15^{2} =17.49^{2} \\\\a^{2} =17.49^{2} -15^{2}\\a=9.01[/tex]

Related Questions

PLEASE HELPPP, ITS DUE IN 1 HOUR!! I WILL GIVE BRAINLIEST!! LINKS=REPORT
PLEASE SOLVE FOR THE CHART AND GRAPH. PLEASE SHOW ON GRAPH

Answers

Answer:

Look below

Step-by-step explanation:

Ok Just Plug it in

For the chart

1:8

2:9

3:10

4:11

And then graph on desmos

You should the answer

Sorry if I am wrong.

Answer:

second graph

Step-by-step explanation:

When x=1,

y=1+7=8

When x=2,

y=2+7=9

When x=3,

y=3+7=10

When x=4,

y=4+7=11

Find the HCF of 12 and 16

Answers

Answer:

4 Hope that helped

The answer is four please tell me if this helped

Find the value of x and y.

Answers

Answer:

x=34[tex]\sqrt{2}[/tex]

y=34[tex]\sqrt{3}[/tex]

Step-by-step explanation:

need help gotta turn in in 20 minutes!!!1

Answers

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

From the figure we can see that, [tex]\large\bold{3x°}[/tex] & [tex]\large\bold{x + 30°}[/tex] are vertically opposite angles.

⎆ Vertically opposite angles are equal to each other.

____________________

So, equation ⇻ [tex]\large\bold{3x° = x + 30°}[/tex]

____________________

Value of x will be :-

[tex]3x° = x + 30° \\ 3x - x = 30 \\ 2x = 30 \\ x = \frac{30}{2} \\ x = 15[/tex]

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Dr. Porterfield has a choice of bread (pink, purple), meat (ham, turkey, beef) and Cheese (American, Swiss, Portugues, Japanese) at a sandwich shop. What is the probability he will select a sandwich on purple bread with either beef or turkey and has Japanese cheese

Answers

Answer:

The probability is 0.08[tex]\overline 3[/tex]

Step-by-step explanation:

The choice of bread Dr Porterfield has = Pink, purple

The number of types of breads = 2

The choices of meat = Ham, turkey, beef

The number of types of meat = 3

The choice of cheese = American, Swiss, Portuguese, Japanese

The number of types of cheese = 4

The probability of selecting purple bread from pink or purple = 1/2

The probability of selecting beef or turkey from the 3 choices of meat = 2/3

The probability of selecting Japanese cheese from the fourvtypes of cheese = 1/4

Therefore, the probability he will select a sandwich on purple bread with either beef or turkey and has Japanese cheese = (1/2) × (2/3) × (1/4) = 2/24 = 1/12 = 0.08[tex]\overline 3[/tex]

the radius of a circle is 14.2 m. Find the circumference to the nearest tenth.

Answers

Answer:

C=89.2

Step-by-step explanation:

The formula of the circumference of a circle is C=2piR (or C=piD). Now, when calculating, plug in the numbers, giving you C=2pi14.2. Multiply everything, you get a super long irrational number; just round. You will get 89.2.

sushmila is buying Mehdi supplies

Answers

Answer:

3(p - 5) + 2s should be the correct answer!

Step-by-step explanation:

3 henna powder, and you get $5 off each henna powder so equation is 3(p - 5)

2 bottle so, 2s

add them up and get the answer

Anyways, hope this helped!

Imani is a scientist working with a cylindrical beaker. The base of the right cylinder has a diameter of 19 cm. She fills the
beaker with 2256.254 Cms of an acid. Approximately how high did the acid fill up the beaker?

Answers

Answer:

7.96 cm

Step-by-step explanation:

radius of bottom: 19/2 = 9.5

area of bottom = pi * r^2 = 283.53

height * base area = volume

The following pie chart represent the number of valid votes by four students the total no of voters is 720. A) who has won and by how many votes B) who got the minimum c) how man votes are obtained
Plz hurry plz I need urgently

Answers

Answer:

I only know this much.....

A) Deepthi has won the election.

B) Rashmi got minimum number of votes.

74,308 Problem: Round the number above to the nearest ten.

Answers

Answer:

74,310

Hope this helped! ^^

Answer:

[tex] = 74,310[/tex]

step by step explanation:

PLEASE HELP DUE IN 5 MINUTES!! NO LINKS! HELP PLEASE!!

Answers

Answer:

Step-by-step explanation:

its about 263.08!

Answer: about 263.08 sq meters (choice C)

====================================================

Explanation:

We'll use this formula

S = (x/360)*A

where,

S = area of pie slice, aka sectorx = central angle in degreesA = area of full circle

We'll plug in S = 85.5 and x = 117 to find solve for A.

S = (x/360)*A

85.5 = (117/360)*A

85.5*(360/117) = A

A = 85.5*(360/117)

A = 263.076923076923 which is approximate

A = 263.08 square meters (choice C)

------------

Side note: As the formula suggests, the x/360 portion is the fractional portion of the full area A. For example, if x = 180 degrees, then x/360 = 180/360 = 1/2, meaning we'll take half of the full circle area to get S.

NEED HELP HERE PLEASE!! π∆π

Give the value of the six trigonometric ratios in the figure.

Answers

Answer:

Step-by-step explanation:

take theta as reference angle

using sin rule

sin theta=opposite/hypotenuse

sin theta=3/5

sin theta=0.60

theta=sin 37 degree

therefore the value of theta is 37 degree.

Write a short para based on how the pandemic has affected travelling.

Answers

Answer:

Unlike many of history’s great tragedies, the coronavirus pandemic never stunned us with one catastrophic event. Instead, the deadly problem quietly snaked its way around the world, devastating millions as it grew into a global health crisis since it first surfaced in November.

Our realities shifted slowly at first, and before we knew it, the coronavirus took over completely.

As we closed borders, canceled events and self-quarantined at home on a mass scale, the travel industry, as well as most other sectors, began to nosedive. The collective effort to save lives meant economic catastrophe for an industry that profits from people leaving their houses.

The wound inflicted by the pandemic on the travel industry is deep, and it hasn’t stopped bleeding yet.

In a May 20 call with analysts, Royal Caribbean Cruises chief executive Richard Fain recalled how drastically travel changed after the 9/11 terrorist attacks — and how the “new normal” eventually just became normal. He expects to see a similar phenomenon in the post-coronavirus world.

sorry it didnt let me send it so i took a lictire of it stay safe out there in the world wherever you are to let you know god is with you all the time if your in fear pray to him and he will take the fear away from you. anyways, stay safe and love you all!❤

What is the value of X?

Answers

Answer:

Step-by-step explanation:

AB = BC

32[tex]\sqrt{2}[/tex] = [tex]\sqrt{2 *AB^{2} } \\ => AB = 32 = BC\\x= BC/2 => x = 32/ 2 = 16[/tex]

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Treat each question independent of the other questions - so your answer to question 46 should not be influenced by theanswer to question 45, and so on:Preferred Stock - 6% cumulative, $20 par value, 10,000 shares authorized, 5,000 shares issued and outstanding . . $100,000Contributed Capital in excess of par value, Preferred Stock . . 250,000Common Stock, $5 par value, 20,000 shares authorized, 10,000 shares issued and outstanding. . . . . . . . . . 50,000Contributed Capital in excess of par value, Common Stock . .450,000Total Contributed Capital . . . . . . . . . . . . $ 850,000Retained Earnings . . . . . . . . . . . . . . . . . 150,000Total Stockholders' Equity . . . . . . . . . . . .$ 1,000,00045. The average issue price per share of preferred stock must have been:A) $20.00B) $50.00C) $70.00D) $35.00E) $45.0046. Marcy Company did not pay any dividends in 2004. In 2005, they declared and paid total dividends of $4,000, and in 2006, they declared total dividends of $20,000. 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