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3 years ago

Solve for x pls. help

Mathematics

1 answer:

marta [7]3 years ago

6 0

Answer:

the answer is 82

Step-by-step explanation:

here,

x°+57°+41°=180° ( sum of interior angle of a triangle)

or, x°+ 98°= 180°

or, x°=180°-98°

or, X°=82.

can u give me brailest

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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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1 year ago

What is the difference of the fractions? Use the number line and equivalent fractions to help find the answer.

ipn [44]

The difference of the fraction is $\mathbf{ -\dfrac{3}{4}}$ by using equivalent expressions.

<h3>What is a number line?</h3>

A number line is a diagrammatic representation of real numbers on the graduated line. It ranges from negative axis to positive axis with 0 being the center position.

A sketch showing the representation of the difference in the mixed fractions can be seen in the image attached below.

Using equivalent expressions to determine the difference between the mixed fractions, we have;

$\mathbf{ = -2\frac{1}{2} - (-1\dfrac{3}{4}) }$

$\mathbf{ = -2\frac{1}{2} +1\dfrac{3}{4} }$

$\mathbf{ = -\dfrac{5}{2} +\dfrac{7}{4} }$

$\mathbf{ = -\dfrac{3}{4}}$

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2 years ago

4 3/10 - ( 2 2/5x+ 5 1/2) = 1/2(-3 3/5x + 1 1/5)

koban [17]

Answer:

x = -223/11 = -20.273

Step-by-step explanation:

Step 1 : Simplify: 11/5

Step 2: Simplify 33/5

Step 3 :

Adding fractions which have a common denominator

Step 4: Simplify: 1/2

Step 5 : see below

Step 6 : see below

Pulling out like terms/factors

Step 7 : Simplify: 51/2

Step 8: Simplify: 22/5

Step 10: Simplify: 43/10

Step 9 :

Calculating the Least Common Multiple

Step 11 :

Adding fractions which have a common denominator

Done.

Hope this helps.

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3 years ago

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Dahasolnce [82]

Answer:

100% probability right?

Step-by-step explanation:

a dice only has 6 sides

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2 years ago

If my diameter is 19 inches what is my radius

Masja [62]

Answer:

Step-by-step explanation:

To find the radius of a circle you multiply the diameter by 38

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