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Strike441 [17]
3 years ago
12

In words, the scalar product of two vectors can be thought of as the product of the magnitude of ~a with the magnitude of the pr

ojection of ~b onto the direction of ~a. It is used to calculate the product of vector quantities when only the parallel components of each vector contribute (e.g., Work = Force • Displacement). Let ~a = h9, 6.75, 0i and ~b = h2.97, 6.075, 0i. Calculate ~a • ~b.
Mathematics
1 answer:
timama [110]3 years ago
6 0

Answer:

  67.73625

Step-by-step explanation:

The dot (scalar) product is also the sum of products of corresponding vector components.

~a • ~b = 9·2.97 +6.75·6.075 +0·0 = 27.73 +41.00625 = 67.73625

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dimaraw [331]

Step-by-step explanation:

1/6 divided by 3=1/2.

I think this is the answer

5 0
3 years ago
6 = -5 -x solve for x
makkiz [27]

Answer:

<h2>x = -11</h2>

Step-by-step explanation:

In algebra, the goal is always to isolate the variable, so that its value can be determined.

<h3>Step 1: Add x</h3>

6 + x = -5

<h3>Step 2: Subtract 6</h3>

x = -11

<h3>Step 3: Check</h3>

6 = -5 - -11

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6 = 6 ✔

<h3>Step 4: Answer</h3>

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I'm always happy to help :)

7 0
3 years ago
A wedding planner uses 72 ivy stems for 18 centerpieces when she arrives at the venue she realizes she will only need 16 centerp
beks73 [17]

Answer:

64 ivy stems

Step-by-step explanation:

To solve this problem we can use rule of three:

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18 centerpieces -> 72 ivy stems

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18/16 = 72/X

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6 0
3 years ago
Read 2 more answers
Please Help!
RUDIKE [14]

Answer:

1. this is the definition of a midpoint - bc the definition of a midpoint is: “If a point is a midpoint of a segment, then it divides that segment into two congruent parts” or “If a point divides a segment into two congruent parts, then it's the midpoint of that segment.”

2. this is the division property of equality -"The division property of equality states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal". so, in this situation we want to isolate x which means dividing both sides by 20. This will keep both sides equal just more simplified  ( before, it was 20 and 100, after dividing both sides by 20 it is 1 and 5 which is the same ratio therefore they are still equal)

3. this one's the subtraction property of equality- this property means you can subtract the same number from both sides of an equation and get an equivalent equation. in this situation, they subtracted 15 from both sides to get AB = 30 and it ends being still being equal to AB + 15= 45.

4. this is the symmetric property of equality -  "This property states that if a = b, then b = a. That is, we can interchange the sides of an equation, and the equation is still a true statement." "it states that values are still equal no matter which side of the equal sign they're on." That's why its possible for XY=ST and ST=XY

5. this is definition of congruence - which basically states that if a value of one thing is equal to the value of another thing those two things can be called congruent.

6. this is substitution property- this is the property that allows you to substitute one value for another in an equation. the property states  that if  

x = y, then x can be substituted in for y in any equation, and y can be substituted for x in any equation, just like what they show here with 5AB substituting for CD in the equation.

i hope this helped!   im not that good at explaining so if u have more questions lmk!          

3 0
3 years ago
Joe is responsible for reserving hotel rooms for a company trip. His company changes plans and increases how many people are goi
AURORKA [14]

Answer:

<h2>He is going to pay 40*900= $36000 for the reservation</h2>

Step-by-step explanation:

Step one:

We are told that they need at least 50 total rooms.

Joe has paid for 16 rooms since Joe can only reserve rooms in block, and a block has 8 rooms, then Joe has paid for 2 blocks.

There is a deficit of 50-16= 34rooms

Required

The Number of blocks Joe need to reserve in addition is 34/8

=4.25

The blocks can not be in decimal, so we need to approximate, which is 5 blocks

Therefore Joe is going to reserve 5*8= 40 rooms

<u>He is going to pay 40*900= $36000 for the reservation</u>

4 0
3 years ago
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