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Anestetic [448]
2 years ago
8

Simplify the expression, 3.5(1.6 + 4.6 - 8.5) - 9.75

Mathematics
1 answer:
tatiyna2 years ago
5 0

Step-by-step explanation:

3.5(1.6 + 4.6  - 8.5) - 9.75

5.6 + 16.1 - 29.75 - 9.75

21.7  - 39.5

- 17.8

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If v1 = (2,-5) and v2 = (4,-3), then the angle between the two vectors is _________. Round your answer to two decimal places.
siniylev [52]
The angle between two vectors is given by:
 cos (x) = (v1.v2) / (lv1l * lv2l)
 We have then:
 v1.v2 = (2, -5). (4, -3)
 v1.v2 = (2 * 4) + (-5 * (- 3))
 v1.v2 = 8 + 15
 v1.v2 = 23
 We look for the vector module:
 lv1l = root ((2) ^ 2 + (-5) ^ 2)
 lv1l = 5.385164807
 lv2l = root ((4) ^ 2 + (-3) ^ 2)
 lv2l = 5
 Substituting values:
 cos (x) = (23) / ((5.385164807) * (5))
 x = acos ((23) / ((5.385164807) * (5)))
 x = 31.33 degrees
 Answer:
 
The angle between the two vectors is:
 
x = 31.33 degrees
3 0
3 years ago
Sticks and stones may break my bones but?
sammy [17]

Answer:

Are singing that one song

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which step brings you closest to getting the variable alone on one side of the equation
Oliga [24]

Answer:

Adding 5 from both sides then dividing by 7

Step-by-step explanation:

The best way to isolate x is to add 5 to both sides first:

21 = 7x

Then to isolate x by itself divide both sides by 7

x = 3

That would be the value of x and your final answer.

5 0
3 years ago
Read 2 more answers
I will give brainlest answer
KonstantinChe [14]
4 units right and 4 units down
4 0
3 years ago
Liz flips a coin 30 times. The coin lands heads up 21 times and tails up 9 times. Complete each
SSSSS [86.1K]

Answer:

Pr = 0.50

Step-by-step explanation:

Given

n = 30

H = 21

T = 9

See attachment for complete question

Required

P(H)

The question requires that we calculate the theoretical probability of landing on the head.

This means that, we have to ignore the given data, and we use the following

S =\{H,T\} --- sample space

n(S) = 2 --- sample size

n(H) = 1 --- occurrence of Head

So, the theoretical probability is:

Pr = n(H)/n(S)

Pr = 1/2

Pr = 0.50

8 0
3 years ago
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