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almond37 [142]
2 years ago
5

In triangle ABC, AC=13, BC=84, and AB=85. Find the measure of angle C

Mathematics
1 answer:
r-ruslan [8.4K]2 years ago
3 0

Answer:

90°

Step-by-step explanation:

Angle C = arccos((84²+13²-85²)/(2×84×13))

= arccos(0/2184)

= arccos(0)

= 90°

Answered by GAUTHMATH

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Given that p=9i+12j and q=-6i-8j. Evaluate |p-q|-{|p|-|q|}
krok68 [10]

Answer:

|p-q|-(|p|-|q|) = 20

Step-by-step explanation:

First let's find the value of 'p-q':

p - q = 9i + 12j - (-6i - 8j)\\p - q = 9i + 12j + 6i + 8j\\p - q = 15i + 20j\\

To find |p-q| (module of 'p-q'), we can use the formula:

|ai + bj| = \sqrt{a^{2}+b^{2}}

Where 'a' is the coefficient of 'i' and 'b' is the coefficient of 'j'

So we have:

|p - q| = |15i + 20j| = \sqrt{15^{2}+20^{2}} = 25

Now, we need to find the module of p and the module of q:|p| = |9i + 12j| = \sqrt{9^{2}+12^{2}} = 15

|q| = |-6i - 8j| = \sqrt{(-6)^{2}+(-8)^{2}} = 10

Then, evaluating |p-q|-{|p|-|q|}, we have:

|p-q|-(|p|-|q|) = 25 - (15 - 10) = 25 - 5 = 20

7 0
2 years ago
A certain animated movie earned $1.1*10^9 in revenues at the box office. The movie lasts 9.1*10^1 minutes. How much revenue was
Vadim26 [7]

Answer:

$12,087,912.1

Step-by-step explanation:

1.1*10^9  is in scientific notation, to get this into normal number, we take the decimal point and move it "9" times to the right [whatever power of 10 we have, we move to right (if positive).] Then we fillup the rest with zeros.

So we have:

1.1*10^9=1,100,000,000

This is the revenue.

We do similar process for time:

9.1*10^1=91

This is the time , in minutes.

We want revenue PER minute, that means we divide the total revenue by total time, that would be:

\frac{1,100,000,000}{91}=12,087,912.1

The revenue earned per minute is  $12,087,912.1

6 0
3 years ago
The ratio of the weight of Jennifer to that of her friend Laura is 6:11. Laura goes on a diet and loses 12kg and now the ratio o
Inessa05 [86]

Answer:

21kg

Step-by-step explanation:

We will do this.

11x - 12 = 7x

11x - 4x = 7x

4x = 12

4x/4 = 12/4

x = 3

3 x 7 = 21

Laura weighs 21 kg.

3 0
2 years ago
What is x+x+x+x+x+x+x+x+x+x+b+b+b+b+3=
xz_007 [3.2K]

Answer:

10x+4b+3

Step-by-step explanation:

x+x+x+x+x+x+x+x+x+x+b+b+b+b+3

There are 10 x

4 b

and one number

10x+4b+3

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2 years ago
If two angles of a triangle have measures of 42° and 20°, what is the measure of the
iris [78.8K]

Answer:

118°

Step-by-step explanation:

the angle measures of a triangle will always add up to 180

so..

42+20=62

180-62=118

4 0
3 years ago
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