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3 years ago

Will mark BRAINLIEST for anyone that answers

Mathematics

1 answer:

Nat2105 [25]3 years ago

7 0

Answer: The value of square root of 75 is 8.65.

Step-by-step explanation:

Since we have given that

$\sqrt{75}=3\sqrt{25}=3\times 5=15$

a) Explain why her reasoning is incorrect.

Her reasoning is incorrect.

As we can write it as :

$\sqrt{75}=\sqrt{3\times 25}=\sqrt{3}\times \sqrt{25}=5\sqrt{3}$

(b) Estimate the square root of 75 to the nearest thousandths without using your calculator. Show

As we know that

$\sqrt{3}=1.73$

So, the square root of 75 would be :

$75=5\sqrt{3}=5\times 1.73=8.65$

Hence, the value of square root of 75 is 8.65.

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What is the number in the middle of -7 and 6

Anon25 [30]

Answer:

-0.5

Step-by-step explanation:

Use the average formula:

Sum of all numbers/Number of items

6 + (-7) / 2

= -1/2

So, the number in the middle of -7 and 6 is -0.5

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3 years ago

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Sphere and a cylinder have the same radius and height. The volume of the cylinder is 64 meters cubed.

Mrrafil [7]

Answer:

C. 128/3 meters cubed

Step-by-step explanation:

The volume of a cylinder is denoted by: $V=\pi r^2h$ , where r is the radius and h is the height. We know it's equal to 64, so we can set that equal to V:

$V=\pi r^2h$

$64=\pi r^2h$

We know that the sphere and cylinder have the same height and radius. However, the "height" of a sphere is actually the same as its diameter, which is twice its radius. Then, we can replace h in the above equation with 2r:

$64=\pi r^2h$

$64=\pi r^2*2r=2\pi r^3$

$\pi r^3=64/2=32$

Now, the volume of a sphere is denoted by: $V=\frac{4}{3} \pi r^3$ , where r is the radius. From above, we know that $\pi r^3=32$ , so we can plug this into the equation:

$V=\frac{4}{3} \pi r^3$

$V=\frac{4}{3} *32=128/3$

Thus, the answer is C.

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3 years ago

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What is m∠8 if m∠4 = 50°?

r-ruslan [8.4K]

Answer:

D) 50°. You got parallel lines cut by a traversal, so angles 4 and 8 are congruent because they're corresponding angles.

Step-by-step explanation:

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3 years ago

One liter is approximately equal to 0.26 gallons. Find the volume rounded to the nearest hundredth of a gallon of a container th

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3 years ago

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In the diagram, the circle will be dilated by a scale factor of 3 about the origin. The points C, A, and B map to C', A', and B'

stellarik [79]

Original coordinates of the points:
A (8,15) ; B (12,13) ; C (8,10)

Dilated scale factor of 3.

A ⇒ 3x = 3(8) = 24 ; 3y = 3(15) = 45 ⇒ A' (24,45)
B ⇒ 3x = 3(12) = 36 ; 3y = 3(13) = 39 ⇒ B' (36, 39)
C ⇒ 3x = 3(8) = 24 ; 3y = 3(10) = 30 ⇒ C' (24, 30)

The given image forms a right triangle. So, I'll get the short leg and long leg of the right triangle to solve for the hypotenuse, length of CB.

Short leg: y value of B and C
39 - 30 = 9

Long leg: x value of B and C
36 - 24 = 12

a² + b² = c²
9² + 12² = c²
81 + 144 = c²
225 = c²
√225 = √c²
15 = c

The length of CB is 15 units.

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3 years ago