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Naya [18.7K]
3 years ago
9

Find a single expression that represents the area of the outer ring of the circle if the area of the whole circle is represented

by the expression "25x2 − 12x − 9."
A) 18x2 − 12x − 6
B) 18x2 − 12x − 12
C) 32x2 − 12x − 6
D) 32x2 − 12x − 12

Mathematics
1 answer:
Margarita [4]3 years ago
4 0

Answer:

18x2-12x-6

Step-by-step explanation:

I got it wrong and this was the answer. Take it or leave it

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In the diagram, AD=CD=CB and measure of angle A=40°. How many degrees are in angle DCB?​
Ad libitum [116K]

Answer:

20^{\circ}

Step-by-step explanation:

Consider triangle ACD. This triangle is isosceles triangle, because AD = DC. Angles adjacent to the base AC are congruent abgles, so

m\angle DAC=m\angle DCA=40^{\circ}

The sum of the measures of all interiror angles in the triangle is always 180^{\circ}, then

m\angle DAC+m\angle DCA+m\angle ADC=180^{\circ}\\ \\40^{\circ}+40^{\circ}+m\angle ADC=180^{\circ}\\ \\m\angle ADC=180^{\circ}-40^{\circ}-40^{\circ}=100^{\circ}

Angles ADC and BDC are supplementary angles (add up to 180^{\circ}), then

m\angle BDC=180^{\circ}-100^{\circ}=80^{\circ}

Consider triangle BCD. This triangle is isosceles triangle because BC = DC. Angles adjacent to the base BD are congruent abgles, so

m\angle BDC=m\angle DBC=80^{\circ}

The sum of the measures of all interiror angles in the triangle is always 180^{\circ}, then

m\angle DBC+m\angle BDC+m\angle BCD=180^{\circ}\\ \\80^{\circ}+80^{\circ}+m\angle BCD=180^{\circ}\\ \\m\angle BCD=180^{\circ}-80^{\circ}-80^{\circ}=20^{\circ}

6 0
3 years ago
Solve the equation for all real solutions.<br> 15r2 – 6r – 3 = -2r
Solnce55 [7]

Answer:

Step-by-step explanation:

hello :

15r² – 6r – 3 = -2r

15r² – 6r – 3 +2r =0

15r²-4r -3 =0

delta =b² -4ac     a=15   b=-4   c=-3

delta =(-4)² - 4(15)(-3)=196 = 14²

r1 = (-b - √delta ) /2a = (4-14)/30 = -10/30 = -2/6 = -1/3

r2 = (-b + √delta ) /2a = (4+14)/30 = 18/30 = 3/5

4 0
3 years ago
Matt needs to pack an order for 1,816 blocks. How can Matt pack the blocks without using boxes of 1,000?
Sav [38]
 Matt could do 2 boxes of 908. 1,816 divided by 2 is 908.
8 0
3 years ago
Read 2 more answers
Write the equation of circle on if the radius is 7 and the center is (-11,12)
Sergeeva-Olga [200]
(x + 11) *squared* +(y-12) *squared* = 49
3 0
3 years ago
A cylinder has a height of 14 feet. Its volume is 12,704.44 cubic feet. What is the radius of the cylinder?
Alenkinab [10]
<h3 /><h3>V. Cylinder =  π . r² . h</h3>

12,704.44 = 3.14 × r² × 14

12,704.44 = 3.14 × 14 × r²

12,704.44 = 43.96 × r²

r² = 12,704.44/43.96

r² = 289

r = √289

r = 17

<h3>#CMIIW</h3>

3 0
3 years ago
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