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Aleksandr-060686 [28]
3 years ago
5

The density of a fish tank is 0.2 fish/ feet cubic square. There are 8 fish in the tank. What is the volume of the tank?

Mathematics
1 answer:
iragen [17]3 years ago
7 0
The answer is 40 cubic feet

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The following equation describes a circle.
Simora [160]

Answer:

Center = (5, -2)  and radius = √33

Step-by-step explanation:

The equation of a circle is given by the formula;

(x-a)² + (y-b)² = r² ; where (a,b) is the center of the circle and r is the radius of the circle.

In this case;

2x² - 20x + 2y² + 8y =40 ;

Dividing both sides of the equation by 2 we get;

x² - 10x + y² + 4y = 20

we can then use the completing the square on both x and y terms.

x² - 10x + y² + 4y = 20

x² + 2(-5)x + 25 + y² + 2(2) y + 4 = 20 +9 + 4

In standard form we get;

(x-5)² + (y+2)² = 33

Therefore;

Center = (5, -2)  and radius = √33

3 0
3 years ago
The base of a triangle is given as 2b. The height of the triangle is given as 5b-7. Find an expressions for the area of the tria
Tcecarenko [31]

Answer:

Step-by-step explanation:

Area = 1/2 * 2b * (5b - 7)

Area = 1/2 * 2b * (5b - 7) = 24

b * (5b - 7) = 24

5b^2 - 7b = 24

5b^2 - 7b - 24= 0

(b- 3 )(5b + 8) = 0

b = 3                    This the only solution that works.  b can't be minus

The base is 2b or 2 * 3 = 6

4 0
3 years ago
In isosceles $\triangle abc$ (with $ab = ac$), point $d$ lies on $ab$ such that $cd = cb$. if $\angle adc = 115^\circ$, what is
Nuetrik [128]

1. Angles ADC and CDB are supplementary, thus

m∠ADC+m∠CDB=180°.

Since m∠ADC=115°, you have that m∠CDB=180°-115°=65°.

2. Triangle BCD is isosceles triangle, because it has two congruent sides CB and CD. The base of this triangle is segment BD. Angles that are adjacent to the base of isosceles triangle are congruent, then

m∠CDB=m∠CBD=65°.

The sum of the measures of interior angles of triangle is 180°, therefore,

m∠CDB+m∠CBD+m∠BCD=180° and

m∠BCD=180°-65°-65°=50°.

3. Triangle ABC is isosceles, with base BC. Then

m∠ABC=m∠ACB.

From the previous you have that m∠ABC=65° (angle ABC is exactly angle CBD). So

m∠ACB=65°.

4. Angles BCD and DCA together form angle ACB. This gives you

m∠ACB=m∠ACD+m∠BCD,

m∠ACD=65°-50°=15°.

Answer: 15°.

3 0
3 years ago
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Evaluate:<br><br> 16 - 12 + 13.5 - - 14
Oxana [17]

Answer:

31.5

Step-by-step explanation:

5 0
3 years ago
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Jay’s roof is shaped like a triangle. It has a base of 70 feet and a height of 16 feet. What is the area of Jay’s roof?
Wittaler [7]
4,200 you just divide both sides
6 0
3 years ago
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