1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
anyanavicka [17]
3 years ago
7

Clevon forms a triangle with three straws measuring 20, 25, and 18 inches. To the nearest whole

Mathematics
1 answer:
Ne4ueva [31]3 years ago
8 0

Answer:

Step-by-step explanation:

Let's label this triangle as triangle ABC.  Side AB is 18, side BC is 20 and side CA is 25 and the angle we are looking for is angle C.  Use the Law of Cosines to find the missing angle.  You have to use the Law of Cosines because in order to use the Law of Sines you have to have an angle given and we don't so we have no other options.  In our case,

c^2=a^2+b^2-2abcosC which for us looks like this:

18^2=20^2+25^2-2(20)(25)cosC and

324=400+625-1000cosC and

324=1025-1000cosC and

-701=-1000cosC and

.701=cosC

Use the 2nd button and the cos button to find the missing angle.

Angle C = 45.4 which is, rounded to the nearest degree, 45°

You might be interested in
Can you solve this equation please<br><br> √{√[S + 5972 – 1111²]}
nasty-shy [4]
The answer you want is 20!
8 0
3 years ago
Read 2 more answers
(06.04 MC)
Andru [333]

\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}

◉ \large\bm{ -4}

\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}

Before performing any calculation it's good to recall a few properties of integrals:

\small\longrightarrow \sf{\int_{a}^b(nf(x) + m)dx = n \int^b _{a}f(x)dx +  \int_{a}^bmdx}

\small\sf{\longrightarrow If \: a \angle c \angle b \Longrightarrow \int^{b} _a  f(x)dx= \int^c _a f(x)dx+  \int^{b} _c  f(x)dx }

So we apply the first property in the first expression given by the question:

\small \sf{\longrightarrow\int ^3_{-2} [2f(x) +2]dx= 2 \int ^3 _{-2} f(x) dx+ \int f^3 _{2} 2dx=18}

And we solve the second integral:

\small\sf{\longrightarrow2 \int ^3_{-2} f(x)dx + 2 \int ^3_{-2} f(x)dx = 2 \int ^3_{-2} f(x)dx + 2 \cdot(3 - ( - 2)) }

\small \sf{\longrightarrow 2 \int ^3_{-2} f(x)dx + 2 \int ^3_{-2} 2dx  = 2 \int ^3_{-2} f(x)dx +   2 \cdot5 = 2 \int^3_{-2} f(x)dx10 = }

Then we take the last equation and we subtract 10 from both sides:

\sf{{\longrightarrow 2 \int ^3_{-2} f(x)dx} + 10 - 10 = 18 - 10}

\small \sf{\longrightarrow 2 \int ^3_{-2} f(x)dx  = 8}

And we divide both sides by 2:

\small\longrightarrow \sf{\dfrac{2  {  \int}^{3} _{2}  }{2}  =  \dfrac{8}{2} }

\small \sf{\longrightarrow 2 \int ^3_{-2} f(x)dx=4}

Then we apply the second property to this integral:

\small \sf{\longrightarrow 2 \int ^3_{-2} f(x)dx + 2 \int ^3_{-2} f(x)dx + 2 \int ^3_{-2} f(x)dx = 4}

Then we use the other equality in the question and we get:

\small\sf{\longrightarrow 2 \int ^3_{-2} f(x)dx  =  2 \int ^3_{-2} f(x)dx  = 8 +  2 \int ^3_{-2} f(x)dx  = 4}

\small\longrightarrow \sf{2 \int ^3_{-2} f(x)dx =4}

We substract 8 from both sides:

\small\longrightarrow \sf{2 \int ^3_{-2} f(x)dx -8=4}

• \small\longrightarrow \sf{2 \int ^3_{-2} f(x)dx =-4}

7 0
1 year ago
HELPPP
Komok [63]

Answer:

the answer would be b my friend

Step-by-step explanation:

4 0
2 years ago
3x^3-24x^2 factor completley
svetoff [14.1K]
3x^3-24x^2=> this is the expression, find what they have in common: 3 and x^2
3x^2(x-8)=> so we took out 3x^2

I hope this helps you:)!
7 0
3 years ago
Read 2 more answers
Write an<br> equation of the line that passes through each pair of points.<br> (-3,9), (-3,-5)
Fantom [35]

Answer:

x = -3

Step-by-step explanation:

x is -3 in all values so we just write an equation.

6 0
2 years ago
Read 2 more answers
Other questions:
  • Kimberly took out a payday loan for $1500 due in 4 weeks that charged a $135 fee. What is the periodic interest rate of the loan
    12·2 answers
  • PLEASE help!!!Sampling question!!
    15·1 answer
  • Find m ∠TUL<br> m∠TUV=167<br> m∠TUL=(x+11)<br> m∠LUV=(11x)
    15·2 answers
  • Find the length of the darkened arc. Leave your answer in terms of pi.​
    13·1 answer
  • Which of the following has no solution?
    10·1 answer
  • Which of the following is a complex number?
    8·1 answer
  • 2y + 9 - 6y=-31<br> could I get some help with this​
    11·2 answers
  • What is the circumference of a circle with a radius of 24 meters? Use 3.14 for pi.
    15·2 answers
  • Please select the best answer from the choices provided.
    9·1 answer
  • Find the area and the circumference of a circle with cameter 5 yd.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!