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
Nuetrik [128]
3 years ago
8

Determine the measurements of all unknown angles and side lengths of triangle PQR round side lengths to the nearest hundredth

Mathematics
1 answer:
Viktor [21]3 years ago
8 0

Answer:

Step-by-step explanation:

m∠P + m∠Q + m∠R = 180 degree

-> m∠R = 180 - ∠P - ∠Q = 180 - 99 - 31 = 50

\frac{PQ}{sin(R)} =\frac{PR}{sin(Q)} =\frac{QR}{sin(P)}

PQ = \frac{QR*sin(R)}{sin(P)} = \frac{11*sin(50)}{sin(99)}=8.53

PR = \frac{QR*sin(Q)}{sin(P)} = \frac{11*sin(31)}{sin(99)}=5.74

You might be interested in
PLEASE HELP I WILL MARK BRAINLIST
hjlf

Answer:

the are would be 18

Step-by-step explanation:

bc 2x3=6 and then 4x3=12 so 12+6=18

4 0
3 years ago
Read 2 more answers
Find the equation of the tangent line to the curve (a lemniscate)
olya-2409 [2.1K]

Answer:

m=\frac{9}{13} and b=\frac{40}{13}

Step-by-step explanation:

The equation of curve is

2(x^2+y^2)^2=25(x^2-y^2)

We need to find the equation of the tangent line to the curve at the point (-3, 1).

Differentiate with respect to x.

2[2(x^2+y^2)\frac{d}{dx}(x^2+y^2)]=25(2x-2y\frac{dy}{dx})

4(x^2+y^2)(2x+2y\frac{dy}{dx})=25(2x-2y\frac{dy}{dx})

The point of tangency is (-3,1). It means the slope of tangent is \frac{dy}{dx}_{(-3,1)}.

Substitute x=-3 and y=1 in the above equation.

4((-3)^2+(1)^2)(2(-3)+2(1)\frac{dy}{dx})=25(2(-3)-2(1)\frac{dy}{dx})

40(-6+2\frac{dy}{dx})=25(-6-2\frac{dy}{dx})

-240+80\frac{dy}{dx})=-150-50\frac{dy}{dx}

80\frac{dy}{dx}+50\frac{dy}{dx}=-150+240

130\frac{dy}{dx}=90

Divide both sides by 130.

\frac{dy}{dx}=\frac{9}{13}

If a line passes through a points (x_1,y_1) with slope m, then the point slope form of the line is

y-y_1=m(x-x_1)

The slope of tangent line is \frac{9}{13} and it passes through the point (-3,1). So, the equation of tangent is

y-1=\frac{9}{13}(x-(-3))

y-1=\frac{9}{13}(x)+\frac{27}{13}

Add 1 on both sides.

y=\frac{9}{13}(x)+\frac{27}{13}+1

y=\frac{9}{13}(x)+\frac{40}{13}

Therefore, m=\frac{9}{13} and b=\frac{40}{13}.

5 0
3 years ago
2x + 4 = 3(x – 2) + 1<br> simplify
Rudik [331]
2x + 4 = 3(x - 2) + 1
2x + 4 = 3x - 6 + 1
2x + 4 = 3x - 5
9 = x
So x = 9
7 0
3 years ago
insted of telling carmen her age ,sora gave this clue:my age is one-tenth of one-tenth of one-tenth of 3,000.
aleksklad [387]
I think her age will be 3 
7 0
3 years ago
Read 2 more answers
Caleb's grade was changed by -18 points
ASHA 777 [7]

Answer:

6.

Step-by-step explanation:

If each assignment is worth -3, you can divide 18 (amount of points changed) by 3 (each assignment's affect) to get 6.

3 0
2 years ago
Read 2 more answers
Other questions:
  • (will give brainliest)<br> 2+5x-3x+6x
    14·2 answers
  • 719,927 expanded form
    10·1 answer
  • ??? Anyone need help
    15·1 answer
  • You are conducting a study on the health of people who have been exposed to radiation and those who have not been exposed to rad
    7·2 answers
  • On February 15, 2012, students in STT 201 at Michigan State University were asked "How old were you on your last birthday? Their
    5·1 answer
  • I NEED HELP WITH THIS QUESTION PLEASE ? :(
    13·1 answer
  • Consider the graph that represents the path of a golf ball, where x is the distance traveled in feet and f(x) is the height of t
    14·2 answers
  • Find the missing factor B that makes the equality true. -35x^6=(-5x^2)(B)<br> B=
    11·2 answers
  • 2x + 2y = -2<br> 3x - 2y = 12<br> Answer:
    9·1 answer
  • this theorem states that if each leg in a right triangle is congruent to a leg and another right triangle, then the two triangle
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!