Answer:
(6,21)
Step-by-step explanation:
Given that,
y = 2x + 9 .....(1)
y = 4x − 3 .....(2)
From equations (1) and (2),
2x + 9 = 4x − 3
Taking variables both sides and constants to another side.
9+3 = 4x-2x
12 = 2x
x = 6
Put the value of x in equation (1).
y = 2(6) + 9
y = 12 + 9
y = 21
The solution of the given equations is x = 6 and y = 21. If we graph them, they will intersect at (6,21).
Solve the triangle for all missing sides and angles
Answer:
a=9
c= 17.5
angles: a =31, b =59, c =90
Step-by-step explanation:
a:
tan (31) = a/15 *cross multiply*
a = 15 (tan (31))
a = 9
c:
*use pythagorean theorum*
9^2 + 15^2 = c^2
81 + 225 = c^2
306 = c^2
17.5 = c
Answer:
B = 59
a = 9.01
c = 17.49
Step-by-step explanation:
Angle B
180 - 90 - 31 = 59
c
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]
What is the arc length of PQ?
Answer:
43.9823
Step-by-step explanation:
[tex]Arc length = 2\pi r(\frac{0}{360} )\\ = 2\pi 12(\frac{210}{360} )[/tex]
Find the value of x and y.
Answer:
x=34[tex]\sqrt{2}[/tex]
y=34[tex]\sqrt{3}[/tex]
Step-by-step explanation:
PLEASE HELP DUE IN 5 MINUTES!! NO LINKS! HELP PLEASE!!
Answer:
Step-by-step explanation:
its about 263.08!
====================================================
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 circleWe'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.
What is the value of X?
Answer:
16
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]
74,308 Problem: Round the number above to the nearest ten.
Answer:
74,310
Hope this helped! ^^
Answer:
[tex] = 74,310[/tex]
step by step explanation:
sushmila is buying Mehdi supplies
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!
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
Answer:
I only know this much.....
A) Deepthi has won the election.
B) Rashmi got minimum number of votes.
Find the HCF of 12 and 16
Answer:
4 Hope that helped