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Dima020 [189]
3 years ago
11

laws of Sines all together. Find each measurement indicated. Round your answers to the nearest tenth. Part 1 Please show your wo

rk.​

Mathematics
2 answers:
scoundrel [369]3 years ago
7 0

Answer:

1. 23.0 cm

2. 21.0 ft

3. 31.0 yd

Step-by-step explanation:

erik [133]3 years ago
3 0

Answer:

1. 23.0 cm

2. 21.0 ft

3. 31.0 yd

Step-by-step explanation:

1. 30/sin110 = RT/sin46

RT = sin46 × 30/sin110

RT = 22.96516279

2. Angle A = 180 - 61 - 53 = 66°

24/sin66 = AB/sin53

AB = sin53 × 24/sin66

AB = 20.98116966

3. 18/sin28 = HP/sin54

HP = sin54 × 18/sin28

HP = 31.01850475

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NikAS [45]

Answer:

x=5 feet

Step-by-step explanation:

At floor level y=0

If the expression is:

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What are the cordinates at the center of the circle (x-4)2+(y-5)2=36
Schach [20]

Answer:

Here I labeled it

Step-by-step explanation:

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3 years ago
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Find the equation, (f(x) = a(x - h)2 + k), for a parabola containing point (2, -1) and having (4, -3) as a vertex. What is the s
Nataliya [291]

Answer:

f(x)=\frac{1}{2}x^2-4x+5

Step-by-step explanation:

A parabola is written in the form

f(x)=a((x-h)^2+k) (1)

where:

h is the x-coordinate of the vertex of the parabola

ak is the y-coordinate of the vertex of the parabola

a is a scale factor

For the parabola in the problem, we know that the vertex has  coordinates (4,-3), so we have:

h=4 (2)

ak=-3

From this last equation, we get that a=\frac{-3}{k} (3)

Substituting (2) and (3) into (1) we get the new expression:

f(x)=-\frac{3}{k}((x-4)^2+k) = -\frac{3}{k}(x-4)^2 -3 (4)

We also know that the parabola  contains the point (2,-1), so we can substitute

x = 2

f(x) = -1

Into eq.(4) and find the value of k:

-1=-\frac{3}{k}(2-4)^2-3\\-1=-\frac{3}{k}\cdot 4 -3\\2=-\frac{12}{k}\\k=-\frac{12}{2}=-6

So we also get:

a=-\frac{3}{k}=-\frac{3}{-6}=\frac{1}{2}

So the equation of the parabola is:

f(x)=\frac{1}{2}((x-4)^2 -6) (5)

Now we want to rewrite it in the standard form, i.e. in the form

f(x)=ax^2+bx+c

To do that, we simply rewrite (5) expliciting the various terms, we find:

f(x)=\frac{1}{2}((x^2-8x+16)-6)=\frac{1}{2}(x^2-8x+10)=\frac{1}{2}x^2-4x+5

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How can I send the pic?

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3 years ago
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riadik2000 [5.3K]

<u>x = 9</u>

Step-by-step explanation:

mean = 5+7+7+x /4 = 7

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