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2 years ago

Find the surface area pls

Mathematics

2 answers:

Alex73 [517]2 years ago

8 0

I believe A=72

I hope that helps

torisob [31]2 years ago

3 0

The formula to find the surace area of a rectangular prism is A =2(wl+hl+hw)

Which in this case is 2(16*12+6*12+6*16)

Which gives us A=720

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What is the best approximation of the projection of (5,-1) onto (2,6)?

Hatshy [7]

Answer:

Hence, the scalar projection of $\vec a$ onto $\vec b$ = $\frac{\sqrt{10} }{5}$ , and the vector projection of $\vec a$ onto $\vec b$ = $\frac{1}{5} \hat i+\frac{3}{5} \hat j$ .

Step-by-step explanation:

We have given two points $(5, -1)$ and $(2, 6)$ .

Let, $\vec a=5\hat {i}-\hat {j}$ and $\vec b= 2\hat {i}+6\hat{j}$ .

and we have calculate the projection of $\vec a$ onto $\vec b$ .

Now,

For the calculation of projection, first we need to calculate the dot product of $\vec a$ and $\vec b$ .

$\vec a.\vec b=(5\hat {i}-\hat{j}).(2\hat{i}+6\hat{j})$

$=10-6$

$=4$

then, we have to calculate the magnitude of $\vec b$ .

$\mid {\vec {b}}\mid$ = $\sqrt{2^{2}+6^{2} }$ = $\sqrt{40}$ = $2\sqrt{10}$ .

Now, the scalar projection of $\vec a$ onto $\vec b$ = $\frac{\vec a.\vec b}{\mid b\mid}$

= $\frac{4}{2\sqrt{10} }$ $\frac{2}{\sqrt{10} } \times\frac{\sqrt{10} }{\sqrt{10} } =\frac{2\sqrt{10} }{10} = \frac{\sqrt{10} }{5}$

and the vector projection of $\vec a$ onto $\vec b$ = $\frac{\vec a. \vec b}{\mid\vec b \mid^{2} } . \vec b$

= $\frac{4}{40} . (2\hat i+ 6\hat j)$

= $\frac{1}{5} \hat i+\frac{3}{5} \hat j$

Hence, the scalar projection of $\vec a$ onto $\vec b$ = $\frac{\sqrt{10} }{5}$ , and the vector projection of $\vec a$ onto $\vec b$ = $\frac{1}{5} \hat i+\frac{3}{5} \hat j$ .

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3 years ago

Solve for x: 2|x − 3| + 1 = 7 (5 points)

allsm [11]

I think it’s A hope this helps

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3 years ago

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These angles can be proven congruent by:

vredina [299]

Answer:

it can't pe proven ..... is the right answer of this question...

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2 years ago

I need to know this answer so I can get the answer

Naddik [55]

CD=50 DVD=40
5C+7D=530

C=D+10
C-D=10
Solve the system
5C+7D=530
5C-5D=50 (multiply by 5)
Subtract
12D=480
D=40
Substitute in any of the equations
C-D=10
C-40=10
C=50

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A chemical solution contains 2% calcium. How much calcium is in 2.5 ml of solution?

MaRussiya [10]

.05ml of the solution is calcium

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2 years ago