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3 years ago

I need this fast thank you! :)

Mathematics

2 answers:

Alex Ar [27]3 years ago

3 0

Answer:

Step-by-step explanation:

Hope this helps! Good Luck!

Karo-lina-s [1.5K]3 years ago

3 0

explanation

1/5280 = 5/x

the 1 and 5 represent the miles

5280 and x represent the total ft

so 5280 x 5 would be how to solve x because whatever you do the top you do the bottom which 1 x 5 being 5 so 5280 x 5 being 26400

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Find two positive numbers so that twice their sum equals their product and one number is 10 times the other number. Enter the sm

Softa [21]

Answer:

Step-by-step explanation:

We'll call the 2 numbers x and y. Starting with the last part of that first sentence "one number is 10 times the other number" can be written, in algebraic form:

y = 10x

Now on to the first statement about the numbers: "twice their sum" is 2(x + y) and "equals their product" is = xy. Putting that all together:

2(x + y) = xy and we know that y = 10x so

2(x + 10x) = x(10x) and

$2(11x)=10x^2$ and

$10x^2-22x=0$ and

x(10x - 22) = 0 so

x = 0 or 10x - 22 = 0 which makes

x equal to $\frac{22}{10}=2.2$

So x = 2.2 and y = 22.

7 0

2 years ago

The volume of a cylinder is 12,566.4 cm3. The height of the cylinder is 8 cm.

scoundrel [369]

Using the formulas here: http://www.1728.org/diamform.htm

A) Volume = π • r² • height
radius^2 = Volume / (PI*height)
radius^2 = 12,566.4 / (PI * 8)
radius^2 = 500.0011692175 
radius = 22.3607059195 
radius (rounded) = 22.4 cm

B) Area of base = PI * radius^2
Area of base = 3.14159265 * 500
Area of base = 1,570.7963267949 
Area of base (rounded) = 1,570.8 square cm

C) lateral area = 2 • π • r • height 
lateral area = 2 • π • 22.4 * 8
lateral area = 1,125.9468070466 
lateral area = 1,125.9 square cm

D) Total Surface Area = (2 • π • r²) + (2 • π • r • height)
Total Surface Area = 2 * (top AND bottom area which is the Part B answer times 2) + (the lateral area which is the Part C answer)

Total Surface Area = ( 2 * 1,570.8 ) + (1,125.9)
Total Surface Area = 3,141.6 + 1,125.9
Total Surface Area = 4,267.5 square cm

3 0

3 years ago

the length of a rectangle exceeds its width by 17 inches, and the area is 18 square inches. what are the length and width of the

dimaraw [331]

The length and width of the rectangle are 18 in and 1 in, respectively.

<h3>Quadrilaterals</h3>

There are different types of quadrilaterals, for example, square, rectangle, rhombus, trapezoid, and parallelogram. Each type is defined accordingly to its length of sides and angles. For example, in a rectangle, the opposite sides are equal and parallel and their interior angles are equal to 90°.

The area of a rectangle can be found for the formula : b*h, where b = base and h =height.

For this question, the length exceeds its width by 17 inches - L=W+17. Here, the length is the base and the width is the height. Thus, from the value of area given, you can find the values of the length and width of the rectangle.

A=b*h

18=(W+17)*W

18=W²+17W

W²+17W-18=0

Solving this quadratic equation, you have:

$w_{1,\:2}=\frac{-17\pm \sqrt{17^2-4\cdot \:1\cdot \left(-18\right)}}{2\cdot \:1}$

$w_{1,\:2}=\frac{-17\pm \:19}{2\cdot \:1}$

w1=1 and w2= -18

For dimensions, only positive numbers must be used. Then, the width is equal to 1 inch.

As, the area (l*w) is 18 in², see.

18=l*w

18=l*1

l=18 in

Read more about the area of rectangle here:

brainly.com/question/25292087

#SPJ1

5 0

1 year ago

Suppose f(x) = 2x-1 and g (x) = x + 1/a. Which value(s) of a would make the composite functions commutative? A. 0 B. 2 C. any va

Tamiku [17]

Answer:

Step-by-step explanation:

A commutative function means that when you insert one function in space of x in the other function, they will equal x. The equation is f(g(x)) = g(f(x)) = x

So, 2( $\frac{x+1}{a}$ ) - 1 = $\frac{(2x-1)+1}{a}$