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seropon [69]
3 years ago
6

Write an equation of the line that has a slope of 3 and contains the point (2,5) in point-slope for

Mathematics
2 answers:
enot [183]3 years ago
8 0
The equation would be y=3x-1

Point Slope Formula: 

y - y1 = m(x - x1)

y - 5 = 3(x-2)
y - 5 = 3x - 6
  + 5        + 5
--------------------
y = 3x - 1


kogti [31]3 years ago
8 0
Y = 3x - 1   ^^^^^^^^^^^^^^^^66right
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Find the value of x in the triangle shown below.
almond37 [142]

Answer:

x=69.41860973

Step-by-step explanation:

We can use the law of sines

sin x             sin 55

------------- = -----------

4                       3.5

Using cross products

3.5 sin x = 4 sin 55

Divide each side by 3.5

sin x = 4/3.5 sin 55

Take the inverse sin of each side

x = sin ^-1 ( 4/3.5 sin 55)

x=69.41860973

7 0
3 years ago
How often does always never sometimes
Vanyuwa [196]

1) sometimes

2) always

3) always

8 0
2 years ago
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DochEvi [55]
4. 3(3) + 2
(3 x 3) + 2 = 11
5. -(-6) -7
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7 0
3 years ago
Find the perimeter of each of the two non congruent triangles where a=15,b=20 and a=29
Alborosie

Answer:

b. about 63.9 units and 41.0 units

Step-by-step explanation:

In question ∠a= 29° and Side of a= 15 and b= 20

Using sine rule of congruence of triangle.

⇒ \frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{sin C}

⇒ \frac{15}{Sin 29} = \frac{20}{sin B}

Using value of sin 29°

⇒ \frac{15}{0.49} = \frac{20}{sin B}

Cross multiplying both side.

⇒ Sin B= \frac{20\times 0.49}{15} = 0.65

∴ B= 41°

Now, we have the degree for ∠B= 41°.

Next, lets find the ∠C

∵ we know the sum total of angle of triangle is 180°

∴∠A+∠B+∠C= 180°

⇒ 29+41+B= 180

subtracting both side by 70°

∴∠C= 110°

Now, again using the sine rule to find the side of c.

\frac{b}{SinB} = \frac{c}{SinC}

⇒\frac{20}{sin41} = \frac{C}{sin110}

Using the value of sine and cross multiplying both side.

⇒ C= \frac{20\times 0.94}{0.65} = 28.92

∴ Side C= 28.92.

Now, finding perimeter of angle of triangle

Perimeter of triangle= a+b+c

Perimeter of triangle= (15+20+28.92)= 63.9

∴ Perimeter of triangle= 63.9 units

7 0
3 years ago
With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the en
kkurt [141]

Answer:

0.097 is the probability that the entire batch will be rejected

Step-by-step explanation:

The total number of CDs = 6500

Number of defective CDs  = 110

Number of good CDs = 6500-110 = 6390

Out of this batch, 6 are randomly selected, then the probability that the entire batch is rejected is  

1 – [probability of accepting the entire batch]

1 – [6390/6500 * 6389/6499*6388/6498*6387/6497*6386/6496*6385/6495]

= 0.097

4 0
3 years ago
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