Subtract the following fractions. (Reduce answers to lowest terms.) 6/5-3/3 =

Mathematics

1 answer:

kogti [31]3 years ago

8 0

Answer:

0.87 which is 13/15

Step-by-step explanation:

6/5 becomes 18/15

3/3 becomes 15/15

18/15-15/15 is 13/15

13 divided by 15 is about 0.87

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Find two consecutive even integers such that the lesser added to three times the greater gives a sum of 46.

kvv77 [185]

N; n + 2 - the two consecutive even integers

n + 3(n + 2) = 46
n + 3n + 6 = 46 |subtract 6 from both sides
4n = 40 |divide both sides by 4
n = 10

n + 2 = 10 + 2 = 12

Answer: 10 and 12.

5 0

3 years ago

Find a unit vector in the direction of the vector left bracket Start 3 By 1 Matrix 1st Row 1st Column negative 8 2nd Row 1st Col

MrRissso [65]

Answer:

$\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right]$

Step-by-step explanation:

We are required to find a unit vector in the direction of:

$\left[\begin{array}{c}-8\\7\\2\end{array}\right]$

Unit Vector, $\hat{a}=\dfrac{\overrightarrow{a}}{|\overrightarrow{a}|}$

The Modulus of $\overrightarrow{a}$ = $\sqrt{(-8)^2+7^2+(-2)^2}=\sqrt{117}$

Therefore, the unit vector of the matrix is given as:

$\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right]$

5 0

3 years ago

A pear weighs 6 ounces. Do 11 pears weigh more than 5 pounds? yes or no

yan [13]

One pear weighs 6 oz, you have 11 pears you multiply 11 by 6 getting 66 oz divided by 16 equals 4.25 lbs. Because there are 16 oz in 1 pound.

answer: No

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3 years ago

An amateur radio operator erects a 75-foot vertical tower for an antenna. A 117 guy wire is pulled from the top of the tower dia

vitfil [10]

Answer:

α=39.80°

Step-by-step explanation:

applying the law of sin and cos, we have:

$sin\alpha =\frac{75}{117}=0.6410\\\alpha =acs(0.64)= 39.79$