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Xelga [282]
3 years ago
5

Please EXPLAIN how to get this answer so I can do it with other problems. A straight answer would be great, but I have to do abo

ut 30 more problems like these, so I'd like to know how to do it with an explanation! It doesn't have to be long, just so I can understand it. (This is for geometry by the way)

Mathematics
1 answer:
OLEGan [10]3 years ago
6 0

Answer:

PQ = 3.58, and RQ = 10.4

Step-by-step explanation:

We are given the hypotenuse of the triangle, and an angle. Use sin and cos to solve.  

Hypotenuse = 11,

Opposite side is PQ

Adjacent side is RQ

x = 19

Sin x  = (opposite side)/(hypotenuse)

Cos x = (adjacent side)/(hypotenuse)

For PQ, this is the side opposite to the angle, so use sin,

Sin 19 = x/11

   11(Sin 19) = x

        3.58 = x        (rounded to the nearest hundredth)            

For RQ, this is the side adjacent to the angle, so use cos,

Cos 19 = x/11

   11(Cos 19) = x

        10.4 = x        (rounded to the nearest hundredth)        

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Write an equation in slope-intercept form that passes through (-6,-2) and had a y-intercept located at y=-5
valina [46]

Answer:

(-6, -2) is the answer

Step-by-step explanation:

8 0
2 years ago
PLS HELP Leo is looking at two different savings plans. The first plan requires an initial deposit of $500 and grows at an annua
White raven [17]

Answer:

First and Second option choices

Step-by-step Explanation:

1st case:

Initial deposit (P) = 500

Annual interest rate (r) = 2.5%

Account balance after x years, y = P(1+r/100)×

y = 500(1+2.5/100)×

y = 500(1+0.025)×

y = 500(1.025)×

2nd case:

Initial deposit (P) = 400

Annual interest rate (r) = 2%

Account balance after x years, y = P(1+r/100)×

y = 400(1+2/100)×

y = 400(1+0.02)×

y = 400(1.02)×

8 0
2 years ago
Please solve this sheet.
lyudmila [28]
Hello,

A: roots: -1,-3
a point (-2,1)
Vertex=((-2,1)

y=k*(x+1)(x+3) using roots
but k*(-2+1)(-2+3)=1==>k*(-1)*1=1==>k=-1

eq: y=-(x+1)(x+3)
==>y=-(x²+3x+x+3)
==>y=-x²-4x-3
y=k(x+2)²+1 if x=-1,y=0 ==>k*1+1=0==>k=-1
==>y=-(x+2)²+1

Answer :A--> R,K

B)
y=k(x+4)²-2 and k=-1/2
y=-1/2(x+4)²-2
y=-1/2x²-4x-10

answer B--> I,≈W if it is written -1/2*x²  (square has been forgotten)

C:
y=2x²-16x+30
y=2(x-4)²-2
answer : C-->S,J

D:
y=-(x+3)(x+1)
y=-x²-4x-3
=-(x+2)²+1
answer D--> V,L

E:
Here there is a problem: or the graph is wrong, or 2 equations are missing!

y=1(x+1)(x-3) using roots
y=x²-2x-3 ≈ T si it were -2x and not +2x.

y=(x-1)²-4 ≈H is it were -1 in place of +1 [H:y=(x+1)²-4]




6 0
3 years ago
In this diagram, bac~edf. if the area of bac= 6 in.², what is the area of edf? PLZ HELP PLZ PLZ PLZ
NemiM [27]

Answer:

2.7 in²

Step-by-step explanation:

Area of ∆BAC : ∆Area of EDF = BC² : EF² (based on the area of similar triangles theorem)

Thus:

6 in^2 : x in^2 = (3 in)^2 : (2 in)^2

\frac{6}{x} = \frac{3^2}{2^2}

\frac{6}{x} = 2.25

\frac{6}{x}*x = 2.25*x

6 = 2.25x

\frac{6}{2.25} = \frac{2.25x}{2.25}

2.67 = x

Area of ∆EDF = 2.7 in²

5 0
3 years ago
Choose the slope-intercept form of y + 3 = 4(x - 5).
Scrat [10]

Answer: y=4x-23

Step-by-step explanation:

First multiply the 4 on the right side to make it y+3=4x-20. Then subtract 3 on both sides to get y=4x-23

5 0
3 years ago
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