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3 years ago

The perfect squares between 6 and 31

Mathematics

1 answer:

anygoal [31]3 years ago

7 0

3 × 3 = 9
4 × 4 = 16
5 × 5 = 25

So, the perfect squares between 6 and 31 is :
{9, 16, 25}

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A region is bounded by semicircular arcs constructed on the side of a square whose sides measure 2/\pi, as shown. What is the pe

Paladinen [302]

Answer:

Step-by-step explanation:

The perimeter of the region is equal to the sum of the perimeter of the four semicircular arc. Since the semicircular arcs have the same measure, therefore:

Perimeter of region = 4 × Perimeter of semicircular arc.

The side of the square = diameter of the semicircle = 2/π.

The radius of semicircle = diameter/2 = $\frac{2/\pi}{2} =\frac{1}{\pi}$

The perimeter of a semicircle = perimeter of a circle ÷ 2

$Perimeter\ of \ semicircle = \frac{perimeter\ of\ circle}{2}=\frac{2\pi r}{2}=\frac{2\pi (\frac{1}{\pi} )}{2} =1\\ Perimeter\ of\ region = 4*Perimeter\ of \ semicircle=4*1=4\$

4 0

3 years ago

In investing $6,200 of a couple's money, a financial planner put some of it into a savings account paying 4% annual simple inter

ddd [48]

Answer:

$ 2,600 was invested at 4% and $ 3,600 was invested at 9%.

Step-by-step explanation:

Given that in investing $ 6,200 of a couple's money, a financial planner put some of it into a savings account paying 4% annual simple interest, and the rest was invested in a riskier mini-mall development plan paying 9% annual simple interest, and the combined interest earned for the first year was $ 428, to determine how much money was invested at each rate, the following calculation must be performed:

3000 x 0.04 + 3200 x 0.09 = 408

2500 x 0.04 + 3700 x 0.09 = 433

2600 x 0.04 + 3600 x 0.09 = 428

Therefore, $ 2,600 was invested at 4% and $ 3,600 was invested at 9%.

7 0

3 years ago

What are the factors of the square root of 329

Andru [333]

Answer: $x=-\dfrac{3}{2}, 7$

Step-by-step explanation:

$2x^2-10x-26=x-5$

$2x^2-10x-26-x+5=0$ Move all terms to one side

$2x^2-11x-21=0$ Simplify $2{x}^{2}-10x-26-x+5$

$2x^2+3x-14x-21=0$ Split the second term

$x(2x+3)-7(2x+3)=0$ Factor out common terms in the first two terms, then in the last two terms.

$(2x+3)(x-7)=0$ Factor out the common term $2x+3$

$x=-\dfrac{3}{2}, 7$

5 0

3 years ago

Read 2 more answers

Find the value of x. please helpp

SIZIF [17.4K]

Answer:

Step-by-step explanation:

given 2 secants drawn from an external point to the circle , then

the product of the measures of one secant's external part and that entire secant is equal to the product of the other secant's external part and that entire secant, that is

9(9 + 2 + 3x) = 10(10 + 2x + 2)

9(11 + 3x) = 10(12 + 2x) ← distribute parenthesis on both sides

99 + 27x = 120 + 20x ( subtract 20x from both sides )

99 + 7x = 120 ( subtract 99 from both sides )

7x = 21 ( divide both sides by 7 )

x = 3

4 0

2 years ago

Read 2 more answers

A pedestal for a statue is made with 405 cubic feet of concrete. a rectangular prism with a height of 9 feet. what is the area o

enyata [817]

45 square feet is the area of the base of the pedestal.

what is rectangular prism?

A rectangular prism is a 3D figure with 6 rectangular faces.
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

we know that

The volume of the pedestal (rectangular prism) is given by the formula

V = B × h

where

B is the area of the rectangular base of pedestal

V = 405 ft³

h = 9 ft

put the given values in the formula and solve for B

405 = B × 9

B = 405/9

B = 45 ft²

Therefore, 45 square feet is the area of the base of the pedestal.

Learn more about rectangular prism

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3 0

2 years ago