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3 years ago

Identify the mapping ABC to EDC

Mathematics

2 answers:

rosijanka [135]3 years ago

8 0

It's B Rotation I believe

Fittoniya [83]3 years ago

4 0

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

Δ ABC is mapping to Δ EDC.

According to figure:

Point of rotation is 'C' as C point wont change after rotation.

When there is a rotation 180° clockwise through the point of rotation 'C'.

When we rotate 180° clockwise :

A goes to E and B goes to B.

So, Δ ABC ⇒ Δ EDC

Hence, Second option is correct.

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Select all that apply:

avanturin [10]

Answer: (-6,-4) (-2,-2) (-1,0) (2,6)

Step-by-step explanation:

We can see that points (2,0) and (4,1) isn't plotted on the line

3 0

2 years ago

Find the volume of the solid that lies between planes perpendicular to the x-axis at x = pi/4 and x = 5pi/4. The cross-sections

svp [43]

Answer:

The volume of the solid = π²

Step-by-step explanation:

As per the given data of the questions,

The diameter of each disk is

D = 2 sin(x) - 2 cos(x)

So its radius is

R = sin(x) - cos(x).

The area of each disk is

$= \pi \times(sinx-cosx)^{2}$

$= \pi \times [sin^{2}(x) - 2 sin(x) cos(x) + cos^{2}(x)]$

$= \pi[1-2sin(x)cos(x)]$

$= \pi[1-sin(2x)]$

Now,

Integrate from $x=\frac{\pi}{4}\ \ \ to\ \ \ x=\frac{5\pi}{4}$ , we get volume:

$V=\int_{\frac{\pi}{4}}^{\frac{5\pi}{4}} \pi[1-sin(2x)]dx$

After integrate without limit we get

$V=\pi[x+\frac{cos2x}{2}]$

Now after putting the limit, we get

V = π²

Hence, the required volume of the solid = π²

3 0

3 years ago

Solve for e 9e + 4 = − 5e + 14 + 13e 9e + 4 = -5e + 14 + 13e

Rasek [7]

Answer: e= -5

----

5 0

3 years ago

Read 2 more answers

if an amount of $5,000 is deposited into a savings account at an annual interest rate of 5%, compounded monthly, what is the val

Ugo [173]

Answer:

$8,240

Step-by-step explanation:

We are given that,

Principle amount in the savings account, P = $5,000.

Rate of interest, r = 5% = 0.05

Time period, t = 10

Also, the interest is compounded monthly, n = 12

As, we now that the value of the investment is given by $P(1+\frac{r}{n})^{nt}$

Thus, we have,

Investment Value = $5000(1+\frac{0.05}{12})^{12\times 10}$

i.e. Investment Value = $5000(1+\frac{0.05}{12})^{12\times 10}$

i.e. Investment Value = $5000(1+0.00417)^{120}$

i.e. Investment Value = $5000\times 1.648$

i.e. Investment Value = $8,240

Hence, the investment amount after 10 years is $8,240.

5 0

3 years ago

The length of a rectangle is six inches more than its width. If the perimeter of the rectangle is 24 inches, find its dimensions

Artemon [7]

Answer:

length= 9

width= 3

Step-by-step explanation:

x= width

length = x+6

x+6+x+6+x+x=24

4x+12=24

take 12 from both sides

4x= 12

x=3

8 0

2 years ago