630
Solve for <2.
*2 = [?]°
142
57°123°
please explain as well

49√3 = √3/4 a²

49×4 = a²

a = 7×2

a = 14 cm

Side of equilateral triangle = Side of square ABCD = 14cm

Area of square ABCD = a²

A = 14×14

A = 196 cm²

Now diameter of circle = side of square = 14cm

Radius = D/2 = 7 Cm

There are two half circle in the square = one whole circle

Area of circle = πr²

A = 3.14 ×7 ×7

A = 153.86

Area of yellow region = Area of square - Area of circle

Area of yellow region = 196 - 153.86 = 42.14 Cm²

The area covered by the yellow region (in cm²) in the given diagram is 42cm². The correct option is c.42

From the question, the area of the blue equilateral triangle in the given diagram is 49√3cm².

The area of an equilateral triangle can be calculated by finding half the product of the square of a side (all sides are equal in an equilateral triangle) and sin 60° (each interior angle of an equilateral triangle is 60°)

Hence, the area of the blue triangle is given by

[tex]A = \frac{1}{2}/AB/^{2}sin60\°[/tex]

Where A is the area

Therefore,

[tex]49\sqrt{3} = \frac{1}{2}/AB/^{2}sin60\°\\2 \times 49\sqrt{3} = /AB/^{2} \times \frac{\sqrt{3} }{2}[/tex]

[tex]2 \times2 \times 49\sqrt{3} = /AB/^{2} \times \sqrt{3}[/tex]

[tex]196 \sqrt{3} = /AB/^{2} \times \sqrt{3}[/tex]

∴ [tex]/AB/^{2} = \frac{196 \sqrt{3} }{\sqrt{3} }[/tex]

[tex]/AB/^{2} = 196[/tex]

∴ [tex]/AB/ = \sqrt{196}[/tex]

[tex]/AB/ = 14cm[/tex]

Hence, the length of a side of the square is 14 cm and the diameter of the circle is also 14 cm (since the length of a side of the square cuts the circle into equal halves, hence it is the diameter)

Area covered by the yellow region = Area of the square - ( sum of the areas of the two semicircles)

Sum of the areas of the two semicircles = Area of one circle

Area of a circle is given by the formula

[tex]A = \pi r^{2}[/tex]

But r = d/2

where r is radius and d is diameter

∴ r = 14/2 cm

r = 7cm

Hence

Area of the circle = [tex]\pi \times 7^{2}[/tex]

A = [tex]49\pi[/tex]

Taking π = 22/7

∴ A = [tex]49 \times \frac{22}{7}[/tex]

A = 154cm²

This is the sum of areas of the two semicircles

Now, for the area of the square

Area of the square = /AB/²

∴ Area of the square = 196 cm²

Now, as stated earlier,

Area covered by the yellow region = Area of the square - ( sum of the areas of the two semicircles)

∴ Area covered by the yellow region = 196 cm² - 154cm²

Area covered by the yellow region = 42cm²

Hence, the area covered by the yellow region (in cm²) in the given diagram is 42cm²

The correct option is c.42

Learn more on area of shapes here: https://brainly.com/question/24220654

Answer:

b) det (A)

Step-by-step explanation:

The determinant of the inverse of an invertible matrix is the inverse of the determinant: det(A-1) = 1 / det(A) [6.2. 6, page 265]. Similar matrices have the same determinant; that is, if S is invertible and of the same size as A then det(S A S-1) = det(A).

HAVE A GOOD DAY

Answer:

A because the river is fastest at that shore

Step-by-step explanation:

Answer:

Solution given:

-2(3x+12y-5-17x-16y+4)

-6x-24y+10+34x+32y-8

34x-6x+32y-24y+10-8

28x+8y+2 is a required answer.

Answer:

C

Step-by-step explanation:

Answer:

-4x + 3y

Step-by-step explanation:

-y - 4x + 4y

= -4x + 3y

Answer:

28 cm area

Step-by-step explanation:

Answer:

4th option

10x + 32 / x(x+8)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

y=2(x-3)^2-3

replace x for x in the table

so y=2(1-3)^2-3

            -2*-2

              4*2

                 8-3

                 y=5

just like in the table

Answer:

C is correct both have 7 as y intercept

Answer:

Situation 1 has a greater slope I believe

It might be C also.

Correct me if i'm wrong.

Answer:

100 π

Explanation:

Since the equation for the area of a circle is π r^2, and the diameter is 20m. There is enough info to proceed.

First, half the 20m to 10m since the radius is 1/2 of the diameter.

Next, plug this into the formula to get the answer:

π 10^2

π 100

100 π is the answer, since it is looking for it in terms of π.

Answer:

A≈314.16m²

Step-by-step explanation:

I cant write it down lol, I promise its right! :)

Answer:

(7,5)

Step-by-step explanation:

Answer:

The second deal offers a lower cost for the three friends.

Step-by-step explanation:

Let consider that each pizza has a price [tex]c_{o}[/tex]. Now, we proceed to check the total cost for each case, the better choice is whose total cost after discounts is the lowest.

Case 1 - 10 % off of 1 pizza (Split costs and buy 3 pizzas separately)

[tex]C = 0.9\cdot C_{o} + 0.9\cdot C_{o} + 0.9\cdot C_{o}[/tex]

[tex]C = 2.7\cdot C_{o}[/tex]

The cost for each person is:

[tex]c = \frac{C}{3}[/tex]

[tex]c = 0.9\cdot C_{o}[/tex]

Case 2 - 30 % off of 3 pizzas (Split costs and buy 3 pizzas in a row)

[tex]C = 0.7\cdot (3\cdot C_{o})[/tex]

[tex]C_{o} = 2.1\cdot C_{o}[/tex]

The cost for each person is:

[tex]c = \frac{C}{3}[/tex]

[tex]c = 0.7\cdot C_{o}[/tex]

The second deal offers a lower cost for the three friends.

Answer:

where is the graph lol

Step-by-step explanation:

need a graph

Answer:

[tex]2x^{2} - 6x + 18[/tex]

Step-by-step explanation:

[tex]7x^{2} -3x+10[/tex] - [tex]5x^{2} -3x+8[/tex] = [tex]2x^{2} - 6x + 18[/tex]

Answer:

[tex]\frac{24}{11}+\frac{6\sqrt{5} }{11}[/tex]

Step-by-step explanation:

Multiply the fraction by the conjugate and solve (would explain more but you're on a time crunch)

Answer:

5

Step-by-step explanation:

Answer:

x intercepts are (-3,0) and (5,0), axis of symmetry is x=1, and vertex is (1,16), domain is (-infinity, infinity) and range is (-infinity, 16], maximum is (1,16) and minimum is -infinity, the y intercept is (0,15)

Step-by-step explanation:

Answer:

6/8??

Step-by-step explanation:

I am a little confused with the question but i believe its 6/8

Answer:

B

Step-by-step explanation:

use y=mx+c

follow the flow

Answer:

128π²

Step-by-step explanation:

The equation for a cylinders volume is V=πr²h

So that means that we square r which is 4, we get 16. Then we multiply 16 by the height which is 8. This gives us 128. The last step is to multiply by pi so we get 128π.

Answer:

[tex]a^2 + 2ab + b^2[/tex]

Step-by-step explanation:

Given

[tex](a + b)^2[/tex]

Required

Express as a standard polynomial

We have:

[tex](a + b)^2[/tex]

Rewrite as:

[tex](a + b)(a + b)[/tex]

Open bracket

[tex]a^2 + ab + ab + b^2[/tex]

Add like terms

[tex]a^2 + 2ab + b^2[/tex]

Answer:

THis does that give me enough information to answer.

Step-by-step explanation:

Answer:

Positive 3

Step-by-step explanation:

-29=9-6k-2k-14

-29=-5-8k

-24=-8k

k=3

Answer:

175

Step-by-step explanation:

I am assuming that you mean that a and b are both bases of a  right triangle. Please correct me if I am wrong.

14 * 25/2 = 350/2 = 175

The area would then be 175 cm²

Step-by-step explanation:

a^2 + 2(b - 6) - 17. a = -7 b = 2

= (-7)^2 - 2(2 - 6) - 17

= 49 - 4 + 12 - 17

= 40

Answer:

The probability is 1/10.

Step-by-step explanation:

Since there are 10 shirts in total, and only 1 red shirt, the probability of choosing a red shirt is 1/10.

It would be INSANLEY FANTABULOUS if I could receive brainliest!!!!!

Answer:

look at the picture i sent......