PLEASE HELP!!!!!!!!!!!!!!


The hypotenuse of a right triangle measures 3√15 centimeters and its shorter leg
measures 3√6 centimeters. What is the measure of the larger acute angle of the triangle?
Round your answer to the nearest tenth of a degree.

Answers

Answer 1

Answer:

angle = 50.8° (to the nearest tenth of a degree)

Step-by-step explanation:

In a right triangle:

The angle between the shorter leg and the hypotenuse is the larger acute angle of the triangle.The angle between the longer leg and the hypotenuse is the smaller acute angle of the triangle.

We have been given the measures of the shorter leg and the hypotenuse, so the angle between them is the larger acute angle (which we need to find).

shorter leg = 3√6 cm

hypotenuse = 3√15 cm

So to find the angle, we need to use the trig ratio: [tex]cos(\theta)=\frac{adjacent}{hypotenuse}[/tex]

If [tex]\theta[/tex] is the angle, then the short leg is the "adjacent" side to the angle and the "hypotenuse" is the hypotenuse.

Substituting the given values:

[tex]cos(\theta)=\frac{3\sqrt{6} }{3\sqrt{15} }[/tex]

⇒ [tex]\theta=arccos(\frac{3\sqrt{6} }{3\sqrt{15} })=50.76847952..[/tex]

Therefore, the angle = 50.8° (to the nearest tenth of a degree)


Related Questions

Which is the solution to the inequality? y + 15 < 3​

Answers

Answer:

y < - 12

Step-by-step explanation:

y + 15 < 3 ( subtract 15 from both sides )

y < - 12

Answer:

y = -13.

Step-by-step explanation:

There is an infinite number of solutions

but I'll go with the most obvious way:

y + 15 < 3y = -13-13 + 15 = 2 < 3.

Give a short answer in like couple of sentences of What is a function? In your own words

Answers

When there is a relation of a set of inputs to the set of outputs and each input has exactly one output

convert 83000 milligrams into pounds.​

Answers

83000 milligrams is approximately 0.183 lbs.

will give brainliest the the first answer!!!​

Answers

Answer:

(DONT INCLUDE THE LETTERS, IT JUST TRIES TO CONFUSE)

So, -1/4 is more than 3 (which you should know) and 3-12 is -9, then it says -9 is more than 12, which is not true. You should show your work as a model explaining what I explained earlier. So you would answer non-equal. Thanks for helping run my brain (lol)

Do the ratios 12:9 and 20:15 form a proportion?

Answers

Answer:

4:3 & 4:3

Step-by-step explanation:

12/9=4/3

20/15=4/3

mark me brainliest


Olivia is thinking of a number, n and she wants her sister to guess the number. Her first clue is that five less that times
her number is between negative three and seven (inclusive). Write a compound inequality that shows the range of numbers
that Olivia might be thinking of.

Answers

Answer:  [tex]-3\leq x \leq 7[/tex]

Step-by-step explanation:

Assuming that "-3" and "7" are included in this range, using the inequality symbols for this allows us to write the equation above.



Work out the value of (-/-5)2 X (-/-3)2

Answers

Answer:

[tex](\frac{-}{-5} )2*(\frac{-}{-3} )2\\\frac{2}{5} *\frac{2}{3} \\\frac{4}{15}[/tex]

Step-by-step explanation:

Hope it will help you.

Answer:

[tex]( \frac{ - }{ - 5} )2 \times ( \frac{ - }{ - 3} )2[/tex]

[tex]( \frac{ \cancel - }{ \cancel - 5} )2 \times ( \frac{ \cancel- }{ \cancel- 3} )2[/tex]

[tex] \frac{2}{5} \times \frac{2}{3} [/tex]

[tex] \frac{2 \times 2}{5 \times 3} [/tex]

[tex] \frac{4}{15} [/tex]

If f(x) = 10 - 3x, what is the value of f(2)?

Answers

Answer:

  4

Step-by-step explanation:

Put 2 where x is and do the arithmetic.

  f(2) = 10 -3∙2 = 10 -6

  f(2) = 4

can somebody explain how to solve for x?

Answers

Answer:

X=13

Step-by-step explanation:

[tex]Hypotenuse(h)=x\\Perpendicular(p)=12\\Base(b)=5\\Now,\\Using-Pythagoras-Thaerem\\h^{2} =p^{2} +b^{2} \\x^{2} =(12)^{2} +(5)^{2} \\x^{2} =144+25\\x=\sqrt{169}\\ x=13[/tex]

a pet store donated 50 lbs of food for adult dogs, puppies, cats to an animal shelter. 16 3/4
pounds was adult dog and 16 7/8 was puppy food..
how many lbs was adult dog food and 16 7/8 was puppy food

the pet store donated _____ lbs of food

Answers

Answer:

The answer would be 11 3/8 pounds for cat food

Step-by-step explanation:

John has $175 in $5 and $10 bills in his drawer. The number of
$5 bills is three times the number
of $10 bills. How many of each are
in the drawer?

Answers

Answer:

There are 21 five dollar bills and 7 ten dollar bills in the drawer.

Step-by-step explanation:

Help me i need it
and pls answer it properly
I know you deserved the points thank you




POINTS ON A FIGURE. Write CL if the following points on the figure are collinear, CP if coplanar
and N if neither on the blank.
1. points J. U
4. points O, U, J
5. points L. Y O
2. points L, J
3. points F U. L

LINES ON A FIGURE. Use the figure below to identify the following lines.
1. TK and AK
a intersecting
2. AL and TO
b. perpendicular
3. 0E and OT
c. paralle
4. LE, LB and Lo
d. skew
5. AT and LE
e. concurrent

FIGURE ILLUSTRATION, Draw the following and label them accordingly
1. points Y E. S are collinear
2. MA L TH
3. q ll p ll r

Answers

Answer:

there too much lol I have no clue

Step-by-step explanation:

hop I help not really but yeah

A football player scores 40 goals in 60 games find the rate of scoring goals per game

Answers

Answer:

0.7 (rounded)

Step-by-step explanation:

Step-by-step explanation:

40 goals/60 games

40/60 = 0.7 (rounded)

So, the football player's rate of scoring per game is 0.7

Step-by-step explanation:

40 goals/60 games

40/60 = 0.7 (rounded)

So, the football player's rate of scoring per game is 0.7

QUESTION ON PIC THX!

Answers

Answer:

100.48 mm

Step-by-step explanation:

Circumference = 2πr

π = 3.14

C = 2(3.14)16mm

C = 6.28(16mm)

C = 100.48mm

Circumference = 100.48

Units: mm

-Chetan K

Find the domain and the range of the following function​

Answers

Answer: domain: R, range: (-inf, -4] U {-3} U [2, inf)

Step-by-step explanation:

You can plug in any number for x and get a corresponding y value, so the domain is all real numbers (written R).


The range is all of the y-values that are possible to get. You can get anything less than or equal to -4 from the first function, then it jumps up to -3 for a while, then it jumps up to anything >= 2.

So the range is (-inf, -4] U {-3} U [2, inf).


Help help math math math

Answers

Answer:

-3 is your answer

hope it will help you

The answer is -3. Hope this helps :)

What is the simplified form of (3) 4⋅(3) −3

Answers

Answer:

33

Step-by-step explanation:

(3) 4 × (3) - 3

Multiply 3 and 4 to get 12.

12 × 3 - 3

Multiply 12 and 3 to get 36.

36 - 3

Subtract 3 from 36 to get 33.

33

Hope it helps and have an amazing day! =D

~sunshine~

what is the coefficient of xy2

Answers

Answer:

1 is the coefficient.

There is no number Infront of variable.Hence if there is no number thrlere is 1. xysquare 1 is the coefficient,X and y are base and square is Exponent.

Mrs MacGregor took a personal loan of ($)8000 over three years. She repaid ($)325 per
month in that period.
How much did she repay in total?
How much interest did she pay in pounds?
At what rate was simple interest charged over the three years?

Answers

Step-by-step explanation:

T= 3yrs= 36 months

Money paid per month = $325

(a)Money paid for 3yrs(36 months) = 325*36 = $11700

(b) Interest paid = Amount - Principal Amount

                         = 11700 - 8000

   Interest paid = $3700                      

$1 = 0.73£

So Interest paid in pounds = 3700*0.73 = 2696.99 = 2697(approx)

If a apple tree has 200 apples and some one takes half how much would there be left

Answers

150 is the answer I hope I’m not wrong sorry if I am

Answer:

100 apples left i think LOLL

Step-by-step explanation:

<3

Somebody help me out ols

Answers

Answer:

Can I afford this, How will I pay for it, and what are the consequences of my purchase.

Step-by-step explanation:

Best questions to stay out of debt.

someone please help me with my mathematics work!

Answers

Answer:

108 Ft^2

Step-by-step explanation:

So the formula for finding the area of a trapezoid is Area= 1/2(a+b)*h

So in this equation, your a=6ft and your b=18ft and your h=9ft

Add the two parallel lines (a and b) and then divide that product by 2. Then multiply that product by 9.

This should give you a total of 108 ft^2 (squared)

Hope this helps!

Define a variable, write equation, solve and answer the question.

17) The sum of three consecutive integers is -84. What is the smallest integer? ​

Answers

Answer:

I don't know if you want the beginning to so-

Variable - A unknown value represented by a set letter.

4x+6 = 26

(Incase: Subtract 6 from 6, and 6 from 26. 6 cancels out, and 26-6 is 20. Divide both sides by 4. And x=5)

And the answer to the question is: -27 is the smallest, and then the 3 consecutive numbers are -27, -28, and -29.

the average groundhog weighs about 8 pounds and eats 1/3 of their weight each day in apples beans clovers bark and flowers. if a den has 5 groundhogs living in it how many pounds of vegetation will the group eat in the month of february if it isnt a leap year

Answers

Answer:

373.33 lb

Step-by-step explanation:

1/3 of wt of a ground hog = 8/3

1/3 of 5 ground hogs weight = 40/3

each day they eat 40/3 pounds

in Feb they eat 40/3 * 28 = 373.33 lbs

help pls!! i’ll give u many points!!

Answers

Answer:

x·y

14/t

15s

4(x+2)

Step-by-step explanation:

an algebraic expression must have at least one variable and at least one operation (+,-,×,÷)

What is the value of the expression 6^2+3^3?

Answers

Answer:

The value of the expression is 63.

Step-by-step explanation:

I used a calculator to calculate the value of the expression. I hope this helps.

Answer:

63

Step-by-step explanation:

6²+3³= 6x6+3x3x3=36+27=63

You deposit $200 in a savings account that earns 8% annual interest compounded monthly. How much money do you have in savings after 10 years? Round to the nearest hundredths.

Answers

Step-by-step explanation:

are you having problems with something if so message this guy

find the value of each letter below. form the unlock code by entering the value of each letter in order, each seperated by a single hyphen. for answers with mixed numbers, type the whole number, leave a space then use a "/" as a fraction bar an example unlock code is: 1-3-7-2 3/4-5 1/2-10 1/6

NO LINK

Answers

A = 36/6 = 6

B = 50/5 = 10

C = 18/3 = 6

D = 29/6 = (24 + 5)/6 = 24/6 + 5/6 = 4 + 5/6

E = 34/3 = (33 + 1)/3 = 33/3 + 1/3 = 11 + 1/3

F = 43/6 = (42 + 1)/6 = 42/6 + 1/6 = 7 + 1/6

It's not clear what the unlock code is supposed to look like, but if it's simply

A - B - C - D - E - F

then the code would be

6 - 10 - 6 - 4 5/6 - 11 1/3 - 7 1/6

Y=[x]-4
Determine the value of y, if x is 15

Answers

Answer:

11

Step-by-step explanation:

15 - 4 = 11

Answer: 11

Step-by-step explanation:

It's easy because 15-4 is 11 so your Y is equal to 11

Solve for x.

25(−3.6−x)=5

Enter your answer as a mixed number in simplest form in the box.

x =

Answers

Expand:
25(-3.6-x)=5
25(-3.6)+25(-x)=5
-90-25x=5
-25x=95
X=-95/25
X=-3.8

The value of x in mixed fraction is [tex]-8\frac{(-3)}{5}[/tex] in the equation 25(−3.6−x)=5.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is 25(−3.6−x)=5

Twenty five times of minus three point six minus x equal to five.

We need to solve for x

Apply distributive property

25(-3.6)-25x=5

-90-25x=5

Add 90 to both sides

-25x=5+90

-25x=95

Divide both sides by 25

x=-95/25

x=-43/5

x=[tex]-8\frac{(-3)}{5}[/tex]

Hence, the value of x in mixed fraction is [tex]-8\frac{(-3)}{5}[/tex] in the equation 25(−3.6−x)=5.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

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