Jac thinks of a number. 25% of his number is 35. What is 1/10 of Jac's number?​

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

Let Jack’s number be x.

25% of x = 35

(25/100) . x = 35

x = 35 . 4 = 140

So Jack’s number is 140. 1/10 of 140 will be (1/10). 140 = 14

Answer: 14


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sailfish are the fastest fish in the world they can swim 68 miles hour estimate how far sailfish can swim in 3 hours

Answers

68×3=204iles in 3 hour 204/3

Final answer:

A sailfish can swim a distance of 204 miles in 3 hours if it maintains its top speed of 68 miles per hour throughout.

Explanation:

In order to determine how far a sailfish can swim in 3 hours, we can use the speed given which is 68 miles per hour. This speed implies that the sailfish can swim 68 miles every one hour.

  • First step is to recognize the information. We know that the speed of the sailfish is 68 miles per hour and we are asked to find the distance it can cover in 3 hours.
  • Second step is to apply the formula for distance which is Speed times Time, in our case, 68 miles per hour times 3 hours.
  • Last step is to multiply 68 by 3, giving us a product of 204.

Therefore, it's reasonable to estimate that a sailfish can cover 204 miles in a span of 3 hours, assuming it maintains its top speed the entire time.

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Find the constant of variation k for inverse variation. Then write an equation for the inverse variation. y= 5 when x = 7.5 k = 37.5;y = 37.5/x k = 15;xy = 1.5 k = 2.5;y = 2.5/x k = 37.5;y=37.5x

Answers

direct variation has this formula: y = kx
inverse variation has this formula: y = k/x

y = 5 ; x = 7.5 ; k = 37.5

y = k/x ⇒ 5 = 37.5 / 7.5 ⇒ y = 37.5/x

Answer:k=37.5 ; xy=37.5

Step-by-step explanation:

Find the area of a regular pentagon with radius 9mm

Answers

The required area of pentagon is 212.36 mm².

What is area of a shape?

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

Given that,

radius of pentagon = 9 mm

Since in pentagons there are 5 sides.

Therefore,

Area is =  (5/4)x s² x tan(π/5)

Where s is the pentagon's length along one side.

Use the pentagon's radius to get s using the following calculation

since we already know,

S = 2x radius x sin(π/5)

When we enter the values ,

we obtain: s = 2 x 9 x sin(π/5)

                    = 14.56 mm.

We can now enter this value of s into the area formula as follows:

Area  = (5/4) x s² x tan(π/5)

          = 212.36mm².

Consequently, the regular pentagon's area with a 9 mm radius is roughly 212.36 mm²

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The area is calculated by using the formula A=(r^2)*n*sin(360/n)/2 where n is the number of sides which is 5 for pentagon and r is the radius which is 9 mm. So, using the formula, the answer is 51.4 mm^2.

N to the first power divided by (n - r) to the first power

Answers

(n^1)/((n-r)^1)=(n)/(n-r)

The sum of the squares of two consecutive positive even numbers is 340. Find the numbers.

Answers

12 and 14
12x12=144
14x14=196
196+144=340

the answer is 12 and 14 100%

Is sec (11 pi/6) equal to (2 sqrt 3/3)?

Answers

sec (11 \pi )/(6)= (1)/(cos (11 \pi )/(6) )
Than:cos (11 \pi )/(6)= ( √(3) )/(2)
(1)/( ( √(3) )/(2) ) = (2)/( √(3) ) = (2 √(3) )/(3)
Answer:Yes, it is equal.
Yeap. sec (11pi/6) = 1/cos(11pi/6), verifying by calculator, you will get 1.1547, which is the value of 2 sqrt3/3