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3 years ago

Evaluate the diagram below. Find the measures of Angles A, B, C, and D.

Mathematics

1 answer:

laiz [17]3 years ago

5 0

Answer:

A: 65° B: 65° C: 125° D: 125°

Step-by-step explanation:

It is an equilateral(shown by the two dashes) and all angles in a triangle add up to 180°.

180-50 divided by 2 to give you A and B angles.

Then angled on a straight line add up to 180° so if you take angle A away from 180° you will get the answer to angle C.

The same for angle D.

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3. Represent each addend with number disks in the place value chart. Show the composition of larger units

elena-14-01-66 [18.8K]

Answer:

4(1000) +11(100) + 24(10,000) +11(1000) = 256,100

Step-by-step explanation:

Maybe you want to add 4000 +1100 to 24(10,000) +11,000.

1 thousand = 10 hundreds, so 4000 = 40 hundreds

4000 +1100 = (40 +11) hundreds = 51 hundreds

1 ten-thousand = 10 thousands, so 24(10,000) = 240 thousands

24(10,000) +11,000 = (240 +11) thousands = 251 thousands

So, we want to add 251,000 and 51 hundreds. The latter can be considered to be 5000 +100, so we have ...

251,000 +5100 = 251,000 +5,100 = (251 +5) thousands + 1 hundred

= 256,100

4 0

3 years ago

Alaska's Wrangell St Elias National Park is the largest national Park in the United States with an area of 13,005 squar miles.Th

PtichkaEL [24]

The correct algebraic expression will be the area of Alaska's Wrangell St Elias minus Gates park so the expression is:

$13005-g$

5 0

2 years ago

Is (5x+4) a factor of (-21x^2-15-40x+5x^3

Tamiku [17]

Answer:

No. It is not.

Step-by-step explanation:

Dividing 5x³+21x²-40x-15 by 5x+4 gives x²+5x-4 with a remainder. Which means, 5x+4 is not a factor of 5x³+21x²-40x-15

6 0

3 years ago

Solve 2sinx^2-5sinx-3=0

vodomira [7]

Answer:

Step-by-step explanation:

The answer my Math 4 teacher gave me. :) work with it

7 0

3 years ago

Find the dimensions of the rectangle with maximum area that can be inscribed in a circle of radius 10.

Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

That will be a square with a diagonal of 20

side length of 20sin45

and area of (20sin45)² = 200 units²

prove it you say?

Area of a rectangle is base times height

A = bh

With a radius of 10, the diagonals of any rectangle inscribed will be 20 units

20² = b² + h²

h = $\sqrt{400 - b^2}$

A = bh

A = b $\sqrt{400 - b^2}$

Area will be maximized when the derivative is set to zero

dA/db = $\sqrt{400 - b^2}$ - b²/ $\sqrt{400 - b^2}$

0 = $\sqrt{400 - b^2}$ - b²/ $\sqrt{400 - b^2}$

b²/ $\sqrt{400 - b^2}$ = $\sqrt{400 - b^2}$

b² = 400 - b²

2b² = 400

b² = 200

b = $\sqrt{200}$

h = $\sqrt{400 - b^2}$

h = $\sqrt{400 - \sqrt{200}^2 }$

h = $\sqrt{200}$

A = bh

A = $\sqrt{200}$ • $\sqrt{200}$

A = 200 units²

5 0

3 years ago