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
Paul [167]
3 years ago
14

Find the value of X.

Mathematics
1 answer:
Kobotan [32]3 years ago
3 0

Answer:

x = 18.46

Step-by-step explanation:

Find the last angle of the triangle.

180-90-72 = 18

The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

cos(b) = adj/hyp

CosB=a/c rewrite to get

6/CosB (72)  = 19.41

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

b=square root c^2 - a^2

b=square root 376.99 - 36

b= 18.46

You might be interested in
I need help with this question please
madam [21]

Answer:go there and it will answer your question

<h2 />

Step-by-step explanation:

6 0
3 years ago
Prove each of the following statements below using one of the proof techniques and state the proof strategy you use.
pochemuha

Answer:

See below

Step-by-step explanation:

a) Direct proof: Let m be an odd integer and n be an even integer. Then, there exist integers k,j such that m=2k+1 and n=2j. Then mn=(2k+1)(2j)=2r, where r=j(2k+1) is an integer. Thus, mn is even.

b) Proof by counterpositive: Suppose that m is not even and n is not even. Then m is odd and n is odd, that is, m=2k+1 and n=2j+1 for some integers k,j. Thus, mn=4kj+2k+2j+1=2(kj+k+j)+1=2r+1, where r=kj+k+j is an integer. Hence mn is odd, i.e, mn is not even. We have proven the counterpositive.

c) Proof by contradiction: suppose that rp is NOT irrational, then rp=m/n for some integers m,n, n≠. Since r is a non zero rational number, r=a/b for some non-zero integers a,b. Then p=rp/r=rp(b/a)=(m/n)(b/a)=mb/na. Now n,a are non zero integers, thus na is a non zero integer. Additionally, mb is an integer. Therefore p is rational which is contradicts that p is irrational. Hence np is irrational.

d) Proof by cases: We can verify this directly with all the possible orderings for a,b,c. There are six cases:

a≥b≥c, a≥c≥b, b≥a≥c, b≥c≥a, c≥b≥a, c≥a≥b

Writing the details for each one is a bit long. I will give you an example for one case: suppose that c≥b≥a then max(a, max(b,c))=max(a,c)=c. On the other hand, max(max(a, b),c)=max(b,c)=c, hence the statement is true in this case.

e) Direct proof: write a=m/n and b=p/q, with m,q integers and n,q nonnegative integers. Then ab=mp/nq. mp is an integer, and nq is a non negative integer. Hence ab is rational.

f) Direct proof. By part c), √2/n is irrational for all natural numbers n. Furthermore, a is rational, then a+√2/n is irrational. Take n large enough in such a way that b-a>√2/n (b-a>0 so it is possible). Then a+√2/n is between a and b.

g) Direct proof: write m+n=2k and n+p=2j for some integers k,j. Add these equations to get m+2n+p=2k+2j. Then m+p=2k+2j-2n=2(k+j-n)=2s for some integer s=k+j-n. Thus m+p is even.

7 0
3 years ago
Ruby wants to buy a bag that costs Php 675.95. If she has saved Php 148.50 for it, how much more does she need?
Akimi4 [234]

Answer:

527•45 is the answer brother

7 0
3 years ago
What is the value of x in the eqation 5[x-6] = 2 [x+3]
topjm [15]

Answer:

x = 12

Step-by-step explanation:

5x - 30 = 2x + 6

3x = 36

x = 12

8 0
3 years ago
Read 2 more answers
Select all that apply. the theorems in the lesson are followed by which of the following?
musickatia [10]

Answer: E


Step-by-step explanation: In mathematics, a theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and generally accepted statements, such as axioms. A theorem is a logical consequence of the axioms. ... Many mathematical theorems are conditional statements.


7 0
3 years ago
Read 2 more answers
Other questions:
  • Solve the inequality 17u≥−8, and write the solution in interval notation.
    6·1 answer
  • Every day Abby's teacher picks a number of the day from 1 to 20. The number of the day can be repeated. There are 180 days in th
    15·1 answer
  • Solve the system of equations.
    11·1 answer
  • Natalie baked 20 cupcakes for a fundraising event at school. On the way to the event she dropped 35% of the cupcakes on the floo
    12·1 answer
  • Help will be appreciated !
    12·1 answer
  • Calculate the area of each figure. Which figure has the greatest area?
    12·1 answer
  • 50/21 as a percentage
    10·2 answers
  • Solve for a
    15·1 answer
  • There are 2 questions on this assignment that i really need help with
    5·2 answers
  • Emily's family loves to work together in the garden. They have a slight preference for flowers, as 60%, percent of their plants
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!