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Marianna [84]
3 years ago
9

Solve the following problem. Round to one decimal place if necessary.

Mathematics
1 answer:
Luda [366]3 years ago
7 0

Answer:

Sinθ = Opposite/hypotenuse

\sin(21)  =  \frac{x}{22}  \\ 0.358 =  \frac{x}{22}  \\ x = 22 \times 0.358 \\ x = 7.88

I hope I helped you^_^

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Arrange the pairs of points in increasing order of slopes of the lines joining them
sladkih [1.3K]

Answer:

(27,2) and (243,18)

(63,9) and (84,12)

(45,15) and (60,20)

(27,12) and (72,32)

(15,30) and (20,40)

(12,32) and (18,48)

(18,63) and (24,84)

Step-by-step explanation:

Formula for slope of a line is

m=\dfrac{y_2-y_1}{x_2-x_1}

a) (15,30) and (20,40).

m_a=\dfrac{40-30}{20-15}=\dfrac{10}{5}=2

Similarly find the slope of other lines.

b) (12,32) and (18,48).

m_b=\dfrac{48-32}{18-12}=\dfrac{16}{6}=2.67

c) (27,12) and (72,32).

m_c=\dfrac{32-12}{72-27}=\dfrac{20}{45}=0.44

d) (45,15) and (60,20).

m_d=\dfrac{20-15}{60-45}=\dfrac{5}{15}=0.33

e) (27,2) and (243,18).

m_e=\dfrac{18-2}{243-27}=\dfrac{16}{216}=0.074

f) (18,63) and (24,84).

m_f=\dfrac{84-63}{24-18}=\dfrac{21}{6}=3.5

g) (63,9) and (84,12).

m_g=\dfrac{12-9}{84-63}=\dfrac{3}{21}=0.143

After arranging the slopes in increasing order, we get

m_e

So, required arrangement of ordered pairs is

(27,2) and (243,18)

(63,9) and (84,12)

(45,15) and (60,20)

(27,12) and (72,32)

(15,30) and (20,40)

(12,32) and (18,48)

(18,63) and (24,84)

7 0
3 years ago
I need help on this. Please
serious [3.7K]

Answer: choice C, y = 0.014x+0.85

==============================

Explanation:

Each column of the table represents an (x,y) pair of values

x = number of pages

y = cost

If we look at the first two columns, we see the two points (50,1.55) and (100,2.25). The x value is listed first. Let's compute the slope of the line through these two points

m = (y2-y1)/(x2-x1)

m = (2.25-1.55)/(100-50)

m = 0.7/50

m = 0.014

So far, we see the answer is between A,B or C as they have the slope of 0.014

Use this slope value, and one of the points -- say (x,y) = (50,1.55) -- to find the y intercept b

y = mx+b

y = 0.014x+b .... plug in the slope found earlier

1.55 = 0.014*50+b ... plug in the point (x,y) = (50,1.55)

1.55 = 0.7+b

1.55-0.7 = 0.7+b-0.7 ... subtract 0.7 from both sides

0.85 = b

b = 0.85

With m = 0.014 as the slope and b = 0.85 as the y intercept, we can say that y = mx+b turns into y = 0.014x+0.85. That narrows the answer down to choice C.

3 0
3 years ago
Untitled Question *
klasskru [66]
Answer:
c
hope it helps
6 0
3 years ago
It takes 60 minutes for 7 people to paint 5 walls.
ziro4ka [17]
0.7/1 of a wall per person
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3 years ago
X minus eight over three equals negative three
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So whats the question lol
7 0
3 years ago
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