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kirza4 [7]
4 years ago
10

Find the distance between the two points. Round to the nearest tenth if necessary.

Mathematics
1 answer:
leva [86]4 years ago
7 0

Answer:

d_A_B=10.4\ units

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

A(0,-8),B(3,2)

substitute the values in the formula

d_A_B=\sqrt{(2+8)^{2}+(3-0)^{2}}

d_A_B=\sqrt{(10)^{2}+(3)^{2}}

d_A_B=\sqrt{109}\ units

d_A_B=10.4\ units

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20 POINTS. Given cos θ=4/5, find cot(θ).
nydimaria [60]

 

\displaystyle\\\cos\theta=\frac{4}{5}\\\\ \sin\theta=\sqrt{1-\cos^2\theta}=\sqrt{1-\left(\frac{4}{5}\right)^2} =\sqrt{1-\frac{16}{25}} =\sqrt{\frac{9}{25}} =\frac{3}{5}~~\text{(If } \theta \in \text{quadrant 1)}}\\\\\\ \cot(\theta)=\frac{\cos\theta}{\sin\theta}=\frac{~~\dfrac{4}{5}~~}{\dfrac{3}{5}}=\frac{4}{5}\times\frac{5}{3}=\frac{4}{3}\\\\\\\boxed{\cot(\theta)=\frac{4}{3}}


.


3 0
3 years ago
Let sets A and B be defined as follows.
erica [24]

There are 4 elements in the set A and 8 elements in set B that is n(A) = 4 and n(B) = 8

<h3>Cardinality of a set</h3>

This is the total number of elements in a set. Given the following sets;

A = {c, d, e, f}

B = {odd numbers greater than 5 and less than 23}

B = {7,9,11,13, 15, 17, 19, 21}

Since there are 4 elements in the set A and 8 elements in set B hence n(A) = 4 and n(B) = 8

Learn more on cardinality of set here: brainly.com/question/23976339

#SPJ1

6 0
2 years ago
? Question
guajiro [1.7K]

Answer:

First you

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
PLEASE HELP AS SOON AS POSSIBLE
frutty [35]

Answer:

FALSE

TRUE

TRUE

Step-by-step explanation:

For median,

Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

Source: https://www.verywellmind.com/how-to-identify-and-calculate-the-mean-median-or-mode-2795785

So for April median: 2.5, 3, 3.5, 3.5 (since we have 4 numbers we divide by 2 and we count by 2 places from left. Since we have even number data, we average 3 with the next higher position to get the median so (3+3.5)/2 = 3.25

For May apply same concept and you get median to be 2.25.

Median difference is 3.25-2.25 = 1

Therefore, statement 1 is false and statement 2 is true.

For average in May, add all numbers and divide by the number of data points so May= (2.5+3+3.5+3.5)/ 4 = 3.13

Apply same concept you for April and you get 2.38 as mean.

Mean difference is 3.13-2.38 = 0.75

Therefore, statement 3 is correct (true)

4 0
3 years ago
Expand
Artyom0805 [142]

The distance between the ships is 26.65.

<h3>How to illustrate the distance?</h3>

Based on the information given, after 3 hours, the distance of ship B will be:

= 20 + (17 × 3)

= 71.

A = 21 × 3 = 63

Well calculate the square root which will be:

A² + B² = 71² + 63²

= 5041 + 3969

= 9010

Therefore, ✓9010 = 94.92

Finally, the distance will be:

= (63 × 21) + (71 × 17) / 94.92

= (1323 + 1207)/94.92

= 26.65

Learn more about distance on:

brainly.com/question/2854969

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7 0
2 years ago
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