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2 years ago

A point is reflected across the x-axis. The new point is (7.5,6). What is the distance between these two points?

1 answer:

4 0

Because it was reflected across the x axis, the distance between the two points is twice the distance of the old point from the x axis, and the distance from the old point from the x axis equals the distance from the new point to the x axis. The distance from the x axis is the absolute value of the x=y value. 7.5 is the y value, meaning the point is 7.5 units away from y=0, the x axis. The new point is twice this from the old point. 7.5 x 2 = 15. The new point is 15 units away from the old point.

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A jewelry store is featuring a diamond in the shape of a square pyramid. The side length of

BARSIC [14]

Answer:

128√5/3 mm³

Step-by-step explanation:

Since we are not told what to find, we can as well look for the volume of the pyramid

Volume of a square pyramid: V = (1/3)a²h

a is the side length of the square

h is the height of the pyramid

Given

a = 8mm

l² = (a/2)² + h²

6² = (8/2)² + h²

h² = 6² - 4²

h² = 36 - 16

h² = 20

h = √20

Volume of a square pyramid = (1/3)*8²*√20

Volume of a square pyramid = 1/3 * 64 * 2√5

Volume of a square pyramid = 128√5/3 mm³

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2 years ago

Consider a manufacturing process called as turning (a type of machining process) that is used to manufacture cylindrical metal s

Sav [38]

Answer: 86.64%

Step-by-step explanation:

Let x be a random variable that represents the diameter of metal samples.

Given : Population mean : $\mu=10$

Standard deviation: $s=0.50$

Specified tolerance on the diameter is 0.75 mm.

i.e. range of diameter = 10-0.75< x <10+0.75 = 9.25< x< 10.75

Formula to find the z-score corresponds to x: $z=\dfrac{x-\mu}{s}$

At x= 0.75, $z=\dfrac{9.25-10}{0.50}=-1.5$

$z=\dfrac{9.25-10}{0.50}=1.5$

Using standard normal table for z-value,

P-value : $p(-1.5$

∴ Percentage of samples manufactured using this process satisfy the tolerance specification = 86.64%

6 0

2 years ago

Which is the solution to the equation solved for p? (q + p)q = (s + r)s

Brums [2.3K]

Answer:

Option B

Step-by-step explanation:

$(q + p)q = (s + r)s$

Lets open the brackets of L.H.S.

$=> q^2 + pq = (s+ r)s$

Lets substract q² from both the sides.

$=> q^2 + pq - q^2 = (s + r)s - q^2$

$=> pq = (s + r)s - q^2$

Lets divide both the sides by q.

$=> \frac{pq}{q} = \frac{(s + r)s - q^2}{q}$

$=> p = \frac{(s + r)s }{q} - \frac{q^2}{q} = \frac{(s + r)s}{q} - q$

7 0

2 years ago

I GIVE BRAINLIESTY FOR CORRECT

marusya05 [52]

Answer:

Ali is 72%

Zain is 64%

Ahmed scored 73%

So Ahmed Scored more

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Solve the equation <br> 2 ( a + 10) = 56

Hatshy [7]

Answer: a = 18

explanation:
2(a + 10) = 56 -> distribute the 2
2a + 20 = 56 -> subtract 20 from both sides
2a = 56 - 20
2a = 36 -> divide both sides by 2
a = 18

3 0

2 years ago