What is 54.77 rounded to the nearest tenth ?

Number of minutes in three fourths of an hour

REY [17]

Answer:

45

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

Cory has 15 die-cast cars in his collection. Each year his collection increases by 20%. Roger has 40 cars in his collection. Eac

solmaris [256]

Cory gains 3 cars a year and Roger 1.
Cory - 18 (6 x 3) : Roger - 6 (6 x 1)
I Cory was to stop receiving cars for 3 years, while Roger kept getting them for 3 then they would have the same amount.

4 0

4 years ago

a right pyramid with a square base has a base edge length of 24 feet and slant height of 20 feet what is the height of the pyram

Sphinxa [80]

Let

l-------> the slant height of the right pyramid

b------> the length side of the square base of the right pyramid

h------> the height of the right pyramid

we know that

Applying the Pythagorean Theorem

$l^{2} =h^{2}+(\frac{b}{2})^{2}$

Solve for h

$h^{2}=l^{2}-(\frac{b}{2})^{2}$

in this problem we have

$l=20\ ft\\\frac{b}{2} =\frac{24}{2} =12\ ft$

Substitute in the formula

$h^{2}=20^{2}-12^{2}$

$h^{2}=256$

$h=16\ ft$

therefore

the answer is

The height of the right pyramid is $16\ ft$

7 0

3 years ago

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The length of a rectangle is the width minus 8 units. The area of the rectangle is 9 units. What is the length, in units, of the

frez [133]

Length of rectangle is 1 unit

Solution: 

Given that

Length of a rectangle is width minus 8 units.

Area of rectangle = 9 square units

Need to calculate the length of rectangle.

Let us assume width of rectangle = x

As Length is width minus 8,

Length of the rectangle = x – 8

$\text{ Area of rectangle }=\text{ width of rectangle }\times \text{ Length of the rectangle }$

$\text{ Area of rectangle }= x\times (x-8)$

$\text { Area of rectangle }=\left(x^{2}-8 x\right)$

As given that area of rectangle = 9 square units

$\begin{array}{l}{\Rightarrow x^{2}-8 x=9} \\\\ {\Rightarrow x^{2}-8 x-9=0}\end{array}$

On solving above quadratic equation for x, we get

$\begin{array}{l}{\Rightarrow x^{2}-9 x+x-9=0} \\\\ {\Rightarrow x(x-9)+1(x-9)=0} \\\\ {\Rightarrow (x-9)(x+1)=0}\end{array}$

When $x-9 =9, x = 9$

When $x + 1 = 0, x = -1$

As width cannot be negative, so considering x = 9

$\text{ Length of rectangle }= x-8 = 9-8 = 1 \text{ unit }$

Hence, Length of rectangle is 1 unit.

5 0

3 years ago

What is the value of x? Enter your answer in the box. x =

fenix001 [56]

Answer:

x = 1

Step-by-step explanation:

a^2 + b^2 = c^2

The hypotenuse (c) and a side length is already given, so:

x^2 + 12 = 13

x^2 = 1

Square root of 1 = 1

So, x = 1

You can check it by 1+12=13

6 0

2 years ago