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natima [27]
3 years ago
14

What is the greatest common factor of 42 ab 35ab4 and 42ab42

Mathematics
1 answer:
Lana71 [14]3 years ago
6 0

Answer:

7

Step-by-step explanation:

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Ben os travelling home to brimingham on the m1 and m42. both motorways have road works. He has a 50-50 chance of getting delay o
Contact [7]
The answer is 1/8 or 12.5%
8 0
3 years ago
Rewrite the equation 6x + 7y = 14 into slope-intercept form (y = mx + b)
Tamiku [17]

rearrange into the form y = mx + b

subtract 6x from both sides of the equation

7y = - 6x + 14

divide all terms by 7

y = - \frac{6}{7} x + 2 → in slope- intercept form


6 0
3 years ago
Read 2 more answers
Which of the following could be the ratio of the length of the longer leg of a 30-60-90 to the length of its hypotenuse? CHECK A
8_murik_8 [283]

Answer:

A. √3 : 2

D. 3√3 : 6

Step-by-step explanation:

In a triangle described as 30°-60°-90° triangle, the base angles are 90° and 60°

The side with angles 90° and 60° is the shortest leg and can be represented by 1 unit

The hypotenuse side is assigned a value twice the shorter leg value, which is 2 units

From Pythagorean relationship; the square of the hypotenuse side subtract the square of the shorter leg gives the square of the longer side

This is to say if;

The given the shorter leg = 1 unit

The hypotenuse is twice the shorter leg= 2 units

The longer leg is square-root of the difference between the square of the hypotenuse and that of the shorter leg

=2^2-1^2\\\\=4-1=3\\\\\\b^2=3\\\\\\b=\sqrt{3}

where the longer leg is represented by side b in the Pythagorean theorem, the hypotenuse by c and the shorter leg by a to make;

a^2+b^2=c^2

<u>Hence the summary is</u>

a=shorter leg= 1 unit

b=longer leg = √3 units

c=hypotenuse=2 units

The ratio of longer leg to its hypotenuse is

=√3:2⇒ answer option A

This is the same as 3√3:6 ⇒answer option D because you can divide both sides of the ratio expression by 3 and get option A

=3\sqrt{3} :6\\\\\\\frac{3\sqrt{3} }{3} :\frac{6}{3} \\\\\\=\sqrt{3} :2

Answers are :option A and D

4 0
3 years ago
(-8, -2) and (1, 9) find the slope
sergejj [24]

Answer:

11/9

Step-by-step explanation:

To find the slope

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

    = ( 9 - -2)/(1 - -8)

    = ( 9+2)/ (1+8)

    = 11/9

6 0
3 years ago
The number of traffic accidents per day on a certain section of highway is thought to be Poisson distributed with a mean equal 2
stich3 [128]

Answer:option B is the correct answer

Step-by-step explanation:

The formula for poisson distribution is expressed as

P(x = r) = (e^- µ × µ^r)/r!

Where

µ represents the mean of the theoretical distribution.

r represents the number of successes of the event.

From the information given,

µ = 2.19

For the probability of no accidents on this section of highway during one day period, r = 0

Therefore,

P(x = 0) = (e^- 2.19 × 2.19^0)/0!

P(x = 0) = (e^- 2.19 × 1)/1

P(x = 0) = 0.112

4 0
3 years ago
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