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DanielleElmas [232]
3 years ago
8

What does it mean to add? Give an example. What does it mean to subtract? Give an example. Draw a number bond. Label the parts o

f the number bond.
Mathematics
2 answers:
Illusion [34]3 years ago
7 0

Answer:

To add is to join (something) to something else so as to increase the size, number, or amount. i.e 5 + 3 = 8

To subtract is to take away (a number or amount) from another to calculate the difference. i.e 8 - 3 = 5

Nady [450]3 years ago
6 0

Answer:

Adding means to, add two or more numbers together to get the sum.

NOTE: If it says sum that's adding.

Subtracting means to, minis the first number from the second number to get the difference.

NOTE: if it says difference that's subtracting.

Step-by-step explanation:

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Find the angle between u=(8, -2) and v=(9,3) Round to the nearest tenth of a degree.
Kryger [21]

Answer:

the angle between u=(8, -2) and v=(9,3) is 32.5°

Step-by-step explanation:

u=(8,-2)=(u1,u2)→u1=8, u2=-2

v=(9,3)=(v1,v2)→v1=9, v2=3

We can find the angle between two vectors using the formula of dot product:

u . v =║u║║v║cos α   (1)

And the dot product is:

u . v = u1 v1 + u2 v2

u . v = (8)(9)+(-2)(3)

u . v = 72-6

u . v = 66


║u║=√(u1²+u2²)

║u║=√((8)²+(-2)²)

║u║=√(64+4)

║u║=√(68)

║u║=√((4)(17))

║u║=√(4)√(17)

║u║=2√(17)


║v║=√(v1²+v2²)

║v║=√((9)²+(3)²)

║v║=√(81+9)

║v║=√(90)

║v║=√((9)(10))

║v║=√(9)√(10)

║v║=3√(10)


Replacing the known values in the formula of dot product (1):

u . v =║u║║v║cos α

66 = 2√(17) 3√(10) cos α

Multiplying:

66 = 6√((17)(10)) cos α

66 = 6√(170) cos α

Solving first for cos α: Dividing both sides of the equation by 6√(170):

\frac{66}{6\sqrt{170} }=\frac{6\sqrt{170}cos \alpha}{6\sqrt{170} }

\frac{66}{6\sqrt{170}}=cos\alpha

Simplifying: Dividing the numerator and denominator on the left side of the equation by 6:

(66/6)/(6√170/6)=cosα→11/√170=cosα→cosα=11/√170

cosα=11/13.03840481→cosα=0.84366149

\alpha=cos^{-1}0.84366149\\\alpha=32.47119205^{\°}\\ \alpha=32.5^{\°}

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4 years ago
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A middle school has a student population of 800 students. A random group of 60 students at the school were asked if they would v
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Answer:

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Step-by-step explanation:

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