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3 years ago

Please help its due in a hour

Mathematics

1 answer:

DiKsa [7]3 years ago

5 0

The side lengths of a triangle are 5,8 and 12 is this a right triangle?
A. no, because 5 + 8 ≠ 12.
B. yes, because 5² + 8² = 12².
C. no, because 5²+ 8² ≠ 12².
D. yes, because 5² + 8² < 12²
Step-by-step explanation:
Pythagoras theorem states c^2=a^2 + b^2
5^2=25
8^2=64
25+64=89

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a rectangular fish tank 60 centimeters by 15 centimeters by 34 centimeters is 1/3 full of water. find the volume of water needed

son4ous [18]

Answer:

$20,400\ cm^{3}$

Step-by-step explanation:

step 1

Find the volume of the tank

$V=(60)(15)(34)=30,600\ cm^{3}$

step 2

we know that

If the tank is 1/3 full of water

then

the volume of water required to completely fill the tank is equal to 2/3 of the tank capacity

$(2/3)30,600=20,400\ cm^{3}$

5 0

3 years ago

The longest side of a triangle is 5 in longer than the shortest side. The medium side is 4 in longer than the shortest side. If

aliina [53]

Answer: Shortest side = 6 inches, Medium side = 10 inches and Longest side = 11 inches

Step-by-step explanation: The perimeter has been given as 27 inches, and we know that the perimeter of any given figure is the addition of all sides. The sides are unknown yet, but we have clues as follows;

The longest side is 5 inches longer than the shortest side, hence the longest side equals s + 5. The medium side is 4 inches longer than the shortest side, hence the medium side equals s+ 4. Th shortest side remains s.

Therefore with the perimeter given as 27, we now have the expression;

s + s + 4 + s + 5 = 27

3s + 9 = 27

Subtract 9 from both sides of the equation

3s = 18

Divide both sides of the equation by 3

s = 6

Hence, the sides of the triangle are given as 6, (6+ 4) and (6+ 5), which is,

6 inches, 10 inches and 11 inches.

7 0

2 years ago

Which equation represents a circle that contains the point (-5, -3) and has a center at (-2, 1)?

Evgen [1.6K]

The equation (x + 2)² + (y - 1)² = 25 represents a circle that contain the point (-5 , -3) and has a center at (-2 , 1)

Step-by-step explanation:

The equation of a circle of center (h , k) and radius r is:

(x - h)² + (y - k)² = r²

The given is:

The center of the circle is (-2 , 1)
The circle passes through point (-5 , -3)

The length of the radius is the distance from the center of the circle

to a point on the circle

∵ The formula of the distance is $d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

∵ The center of the circle is (-2 , 1)

∵ The circle passes through point (-5 , -3)

∴ $r=\sqrt{[(-5)-(-2)]^{2}+[(-3)-(1)]^{2}}$

∴ $r=\sqrt{[-3]^{2}+[-4]^{2}}$

∴ $r=\sqrt{9+16}$

∴ $r=\sqrt{25}$

∴ r = 5

∵ The equation of the circle is (x - h)² + (y - k)² = r²

∵ The center of the circle is (-2 , 1)

∴ h = -2 and k = 1

∵ r = 5

∴ r² = (5)² = 25

- Substitute the values of h , k , r² in the equation of the circle

∴ (x - -2)² + (y - 1)² = 25

∴ (x + 2)² + (y - 1)² = 25

The equation (x + 2)² + (y - 1)² = 25 represents a circle that contains

the point (-5 , -3) and has a center at (-2 , 1)

Learn more:

You can learn more about the equation of the circle in brainly.com/question/9510228

LearnwithBrainly

7 0

2 years ago

Can someone please help me and fast I'm stuck

vovikov84 [41]

Answer:

3 5/8

Step-by-step explanation:

6 4/8 - 2 7/8 = 4 -3/8 = 3 5/8

8 0

2 years ago

Read 2 more answers

2cos pi/16* cos 11pi<br>/6* cos pi/4*cos 3pi/8<br>

Vikki [24]

Answer:

0.00065104166

Step-by-step explanation:

4 0

2 years ago