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Olegator [25]
2 years ago
11

CIRCLE THEOREM (CHECK PHOTO)

Mathematics
1 answer:
jok3333 [9.3K]2 years ago
8 0
N=80 the correct answer during
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Two geometrically similar jugs have volumes of 1000 cm3and 512 cm3.They have circular bases. The diameter of the base of the lar
Aleks [24]

Complete Question

Two geometrically similar jugs have volumes of 1000 cm³and 512 cm³.They have circular bases. The diameter of the base of the larger jug is 9 cm.

Calculate the diameter of the smaller jug.

Answer:

7.2 cm

Step-by-step explanation:

To solve the above question,we have the proportion

Smaller volume/ Larger volume = (Smaller diameter/ Larger diameter)³

We are to find the smaller diameter

Hence our formula is give as

Cube root(Smaller volume/ Larger volume)= Smaller diameter/ Larger diameter

=cube root( 512/1000) = x/9

= 8/10 = x/9

Cross Multiply

10x = 8 × 9

10x = 72

x = 72/10

x = 7.2cm

Therefore, the diameter of the second jug is 7.2 cm

3 0
3 years ago
Select interior, exterior, or on the circle (x - 5) 2 + (y + 3) 2 = 25 for the following point. (2, 3)
lozanna [386]
Standard equation of a circle: <em>(x-h)² + (y-k)² = r²</em> where <em>(h, k)</em> is the center and <em>r </em>is the radius. In the case of our equation here, <em>(x-5)² + (y+3)² = 25</em>, we can conclude that our circle has a center at (5, -3) and a radius of 5 units.

We can use the distance formula with the center (5, -3) and our point (2, 3) to see how far away they are...if the distance between them is less than the radius of the circle, it is on the interior. If it's equal, it's on the circle. If it's greater, it's on the exterior.

Distance = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

Distance = \sqrt{(-3-3)^2+(5-2)^2}

Distance = \sqrt{(-6)^2+3^2}

Distance = \sqrt{36+9}

Distance = \sqrt{45}\approx6.7082

6.7082>5,\ so\ (2,3)\ is\ on\ the\ \boxed{exterior}
8 0
3 years ago
QUESTION - What is -2(3x + 12y - 17x - 16y + 4) simplified? ANSWERS A. -40x + 8y + 2 B. 28x + 8y + 2 C. 28x + 6y + 2 D. -28x - 8
erica [24]

Answer:

28 + 8y - 8

Step-by-step explanation:

According to the problem;

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

Collecting like terms;

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

-2(-14x - 4y + 4)

28 + 8y - 8

None of the options matches the correct answer.

8 0
3 years ago
Pls Help. This is 6th grade math i need help
zhannawk [14.2K]

Answer:

.50 cents

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Ray earns $15 an hour for up to 40 hours a week. If he works more than 40 hours a week, he is paid time and a half. That means R
maw [93]
46 is your correct answer bc 30 plus 16 is 46
6 0
3 years ago
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