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ΔDEF rotates 90° clockwise about point A to create ΔD 'E 'F. Therefore, which equation must be true?

____ [38]

Rotation is a type of transformation refered to a in which the shape of the original object is preserved and the angle of rotation is constanf for all the parts of the body.

Thus, when <span>ΔDEF rotates 90° clockwise about point A to create ΔD 'E 'F.

</span><span>m∠EAE ' = m∠FAF '</span>

7 0

2 years ago

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Maria has 14 pencils, Ted has 9 pencils, Tom has 12 pencils, Lucinda has 13 pencils, and Jumana has 12 pencils. How can they red

Likurg_2 [28]

HEY THERE !!

GIVEN :- Maria has 14 pencils, Ted has 9 pencils, Tom has 12 pencils, Lucinda has 13 pencils, and Jumana has 12 pencils.

The sum of all pencils are 60 and the number of persons are 5 .

So 60/5= 12
The no. of pencil which every person has after redistribution is 12 .

HOPE IT HELPED YOU.

3 0

2 years ago

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A machine shop produces heavy duty high endurance 20-inch rods that are meant for use in a variety of military grade equipment.

QveST [7]

Answer:

The probability that a defective rod can be salvaged = 0.50

Step-by-step explanation:

Given that:

A machine shop produces heavy duty high endurance 20-inch rods

On occasion, the machine malfunctions and produces a groove or a chisel cut mark somewhere on the rod.

If such defective rods can be cut so that there is at least 15 consecutive inches without a groove.

Then; The defective rod can be salvaged if the groove lies on the rod between 0 and 5 inches i.e ( 20 - 15 )inches

Now:

P(X ≤ 5) = $\dfrac{5}{20}$

= 0.25

P(X ≥ 15) = $\dfrac{5}{20}$

= 0.25

The probability that a defective rod can be salvaged = P(X ≤ 5) + P(X ≥ 15)

= 0.25+0.25

= 0.50

∴ The probability that a defective rod can be salvaged = 0.50

4 0

2 years ago

A log splitter uses a pump with hydraulic oil to push a piston, attached to which is a chisel. The pump can generate a pressure

faust18 [17]

we are given

The pump can generate a pressure of 2.3x107 pa

so,

$p=2.3*10^7$

a radius of 0.041 m

so,

$r=0.041m$

a stroke lasting 29 s, the piston moves 0.57 m

so,

$h=0.57m$

$t=29s$

Firstly, we will find area

$A=\pi r^2$

$A=\pi (0.041)^2$

$A=0.00528$

now, we can use power formula

$P=\frac{W}{t}$

F=pA

W=Fh

so, W=pAh

we can plug it

$P=\frac{p*A*h}{t}$

now, we can plug values

$P=\frac{2.3*10^7*0.00528*0.57}{29}$

now, we can simplify it

Power=2386.92414 watt.........Answer

6 0

2 years ago

If the legs of an isosceles right triangle have a length of 15 StartRoot 2 EndRoot ft, what is the length of the hypotenuse? 7.5

Likurg_2 [28]

Answer:

The length of the hypotenuse is 30 feet

Step-by-step explanation:

Here, we are to calculate the length of the hypotenuse of an iscosceles right triangle.

For the triangle to be isosceles, it means that the opposite and the adjacent are equal in length.

Now, to calculate the value of the hypotenuse, we make use of the Pythagoras’ theorem which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Mathematically;

let’s say the hypotenuse is length h feet

h^2 = {15√(2)}^2 + {15√(2)}^2

h^2 = (225 * 2) + (225 * 2)

h^2 = 450 + 450

h^2 = 900

h = √(900)

h = 30 feet

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2 years ago

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