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3 years ago

Tell whether the number is prime or composite 68,52,63, 75, 31, 77, 59, 87

Mathematics

2 answers:

Paha777 [63]3 years ago

7 0

A prime number can only be divided by one oritslef and a composite number can bedivided by other njmbers.

ollegr [7]3 years ago

7 0

Composite Its composite mumber and composite mean the num the doesnot come in any table

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if he allows 40 people to choose a treat from the bag about how many lizard lollis can he expect to give away

kirill [66]

Answer:

20 Lizard lollies.

Step-by-step explanation:

There are 10 lizard lollis. This is out of 10+4+6 = 20 total treats. This makes the probability of drawing a lizard lollis 10/20 = 1/2.

This means out of 40 treats handed out, we can expect him to give out 1/2(40) = 20 lizard lollis.

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3 years ago

If x = -6 and y = -2, evaluate the expression.<br> 3x - 10<br> y-5

Bond [772]

Is it
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Y-5= -2-5=-7

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2 years ago

On a coordinate plane, 2 lines are shown. Line P Q has points (negative 5, 3) and (5, 1). Line R S has points (negative 4, negat

kati45 [8]

Answer:

They are not parallel because their slopes are not equal

Step-by-step explanation:

3 0

1 year ago

A rectangular garden has length twice as great as its width. A second rectangular garden has the same length as the first garden

Slav-nsk [51]

I say 12 because that would mean the first rectangle is 6x12 and the second is 10x12

4 0

3 years ago

compute the projection of → a onto → b and the vector component of → a orthogonal to → b . give exact answers.

Nina [5.8K]

$\text { Saclar projection } \frac{1}{\sqrt{3}} \text { and Vector projection } \frac{1}{3}(\hat{i}+\hat{j}+\hat{k})$

We have been given two vectors $\vec{a}$ and $\vec{b}$ , we are to find out the scalar and vector projection of $\vec{b}$ onto $\vec{a}$

we have $\vec{a}=\hat{i}+\hat{j}+\hat{k}$ and $\vec{b}=\hat{i}-\hat{j}+\hat{k}$

The scalar projection of $\vec{b}$ onto $\vec{a}$ means the magnitude of the resolved component of $\vec{b}$ the direction of $\vec{a}$ and is given by

The scalar projection of $\vec{b}$ onto

$\vec{a}=\frac{\vec{b} \cdot \vec{a}}{|\vec{a}|}$

$\begin{aligned}&=\frac{(\hat{i}+\hat{j}+\hat{k}) \cdot(\hat{i}-\hat{j}+\hat{k})}{\sqrt{1^2+1^1+1^2}} \\&=\frac{1^2-1^2+1^2}{\sqrt{3}}=\frac{1}{\sqrt{3}}\end{aligned}$

The Vector projection of $\vec{b}$ onto $\vec{a}$ means the resolved component of $\vec{b}$ in the direction of $\vec{a}$ and is given by

The vector projection of $\vec{b}$ onto

$\vec{a}=\frac{\vec{b} \cdot \vec{a}}{|\vec{a}|^2} \cdot(\hat{i}+\hat{j}+\hat{k})$

$\begin{aligned}&=\frac{(\hat{i}+\hat{j}+\hat{k}) \cdot(\hat{i}-\hat{j}+\hat{k})}{\left(\sqrt{1^2+1^1+1^2}\right)^2} \cdot(\hat{i}+\hat{j}+\hat{k}) \\&=\frac{1^2-1^2+1^2}{3} \cdot(\hat{i}+\hat{j}+\hat{k})=\frac{1}{3}(\hat{i}+\hat{j}+\hat{k})\end{aligned}$

To learn more about scalar and vector projection visit:brainly.com/question/21925479

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3 0

1 year ago