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3 years ago

Can someone help me with this question, please?

Mathematics

1 answer:

Aloiza [94]3 years ago

5 0

Answer:

1260 cm^2

Step-by-step explanation:

To find the area of the rectangle we need its base and its height and calculate the product A = (base)(height).

Here the height of the triangle is found using the Pythagorean Theorem:

37^2 = |AB|^2 + 12^2, or |AB|^2 = 1369 - 144, or 1225.

Taking the square root of both sides, we get |AB| = √1225 = 35 cm = height of rectangle.

Since BC:CD = 1:2, and since |BC| = 12 cm, |BD| is 12 cm + 24 cm = 36 cm.

Thus the length of the rectangle is 36 cm.

The area of the rectangle ABDE is (36 cm)(35 cm) = 1260 cm^2

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Which expression represents the total volume of the pictures shown if each cube has a side length of e?

Oliga [24]

Answer: I believe that you have to do e^3 to find the volume of a cube.

If you had the side, you would do a^3 (a stands for the side length)

4 0

2 years ago

Everything in a store is discounted by 25%. What is the sale price of a clock with a regular price of $24.60?

Lelechka [254]

Answer:

$24.35

Step-by-step explanation:

sale price⇒ total price-discount price

s.p=$24.60-25/100 ∴25%⇒25/100

s.p⇒$2460/100-25/100 ∴24.60⇒2460/100

s.p⇒$24.35

⇒$24.35

3 0

2 years ago

Pls help I’ll give u 50 points for the right answer

Gwar [14]

Answer:

$0.25

Step-by-step explanation:

2.99/12 aprrox. equals 25 cents

4 0

2 years ago

Read 2 more answers

MARSVECTORCALC6 3.4.020. My Notes A rectangular box with no top is to have a surface area of 64 m2. Find the dimensions (in m) t

ioda

Answer:

We would have

$l =w =\frac{8\sqrt{3}}{3} \\h = \frac{8\sqrt{3}}{6}$

where " l " is length, " w" is width and "h" is height.

Step-by-step explanation:

Step 1

Remember that

Surface area for a box with no top = $lw+2lh+2wh = 64$

where " l " is length, " w" is width and "h" is height.

Step 2.

Remember as well that

Volume of the box = $l*w*h$

Step 3

We can now use lagrange multipliers. Lets say,

$F(l,w,h) = lwh$

and

$g(l,w,h) = lw+2lh+2wh = 64$

By the lagrange multipliers method we know that

$\nabla F = \lambda \nabla g$

Step 4

Remember that

$\nabla F = (wh,lh,lw)$

and

$\nabla g = (w+2h,l+2h , 2w+2l)$

So basically you will have the system of equations

$wh = \lambda (w+2h)\\lh = \lambda (l+2h)\\lw = \lambda (2w+2l)$

Now, remember that you can multiply the first eqation, by "l" the second equation by "w" and the third one by "h" and you would get

$lwh = l\lambda (w+2h)\\\\lwh = w\lambda (l+2h)\\\\lwh = h\lambda (2w+2l)$

Then you would get

$l\lambda (w+2h) = w\lambda (l+2h) = h\lambda (2w+2l)$

You can get rid of $\lambda$ from these equations and you would get

$lw+2lh = lw+2wh = 2wh+2lh$

And from those equations you would get

$l = w =2h$

Now remember the original equation

$lw+2lh+2wh = 64$

If we plug in what we just got, we would have

$l^{2} + l^{2} + l^2 = 64 \\3l^{2} = 64 \\l = w = \frac{8\sqrt{3} }{3} \\h = \frac{8\sqrt{3} }{6}$

7 0

3 years ago

The coordinates of point A on a coordinate grid are (−2, −3). Point A is reflected across the y-axis to obtain point B and acros

amid [387]

Answer:

B) B(2,-3) and C(-2,3)

Step-by-step explanation:

The given point A, has coordinates (-2,-3).

When point A(-2,-3) is reflected over the y-axis to obtain point B, then the coordinates of B is obtained by negating the x-coordinate of A.

Therefore B will have coordinates (2,-3).

When point A(-2,-3) is reflected over the x-axis to obtain point C, then the coordinates of C is obtained by negating the y-coordinate of A.

Hence the coordinates of C are (-2,3)

3 0

2 years ago