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3 years ago

Why 1 hundred 4 tens and 14 tens name the same amount.

2 answers:

7 0

<span>Because 1 hundred contains 10 tens. So if you are saying 1 hundred and 4 tens it is the same as you would say 10 tens and 4 tens. And if you add them together 10 tens plus 4 tens it will be 14 tens together.</span>

Over [174]3 years ago

5 0

First you need to translate these words mathematically as follows:

1 hundred = 100,

1 ten = 10,

2 tens = 2*10 = 20,

3 tens = 3 * 10 = 30,

4 tens = 4 * 10 = 40,

10 tens = 10 * 10 = 100

We can express 1 hundred 4 tens and 14 tens as follows:

1 hundred 4 tens = 1 hundred + 4 tens = 100 + 40 = 140 --- (1)

14 tens = 14 * 10 = 140 --- (2)

As (1) = (2), therefore, we can say that 1 hundred 4 tens and 14 tens yield the same amount (which is 140).

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In triangle ABC,the measure of angle A is 78° and the measure of angle B is 35° What is the measure of angle C

Nookie1986 [14]

Answer:

č= 67°

Step-by-step explanation:

x + 78+35=180

x + 113=180

x= 180-113

x= 67 degrees

7 0

2 years ago

Solve on the interval [0,2pi): 2cscx+5=1

pantera1 [17]

$x\in[0,\ 2\pi)\\\\2\csc x+5=1\ \ \ \ |-5\\\\2\csc x=-4\ \ \ \ |:2\\\\\csc x=-2\\\\\dfrac{1}{\sin x}=-2\to\sin x=-\dfrac{1}{2}\to x=-\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{7\pi}{6}+2k\pi\\\\x\in[0,\ 2\pi)\to x=-\dfrac{\pi}{6}+2\pi=\dfrac{11\pi}{6}\ \vee\ x=\dfrac{7\pi}{6}\\\\Answer:\ \boxed{D.\ \dfrac{7\pi}{6},\ \dfrac{11\pi}{6}}}$

7 0

3 years ago

Read 2 more answers

Robert makes $951 gross income per week and keeps $762 of it after tax withholding. How many allowances has Robert claimed? For

MAXImum [283]

Answer:

Option D,four is correct

Step-by-step explanation:

The tax withholding from the gross income of $951 is the gross income itself minus the income after tax withholding i.e $189 ($951-$762)

The percentage of the withholding =189/951=20% approximately

Going by the multiple choices provided,option with 4,189 dollars seems to the correct option as that is the exact of the tax withholding on Robert's gross income and his earnings fall in between $950 and $960

4 0

3 years ago

A plane that carries mail makes a round trip each day from Chicago to New York. It makes 2 intermediate stops on the way to New

Afina-wow [57]

Answer:

Step-by-step explanation:

7(d)

3 0

2 years ago

A rectangle is twice as long as it is wide and has the same perimeter as a square whose area is 36 square feet larger than that

Korvikt [17]

Answer:

rectangle: 12 ft × 24 ft
square: 18 ft square

Step-by-step explanation:

You want the dimensions of a rectangle and square such that they have the same perimeter, but the square has an area of 36 more square feet. The rectangle is twice as long as wide.

<h3>Setup</h3>

Let x represent the side length of the square. Then its area is x², and the area of the rectangle is (x² -36).

This area is the product of length and width. The expression factors as ...

rectangle area = x² -36 = (x +6)(x -6)

<h3>Solution</h3>

If we assume these factors are the dimensions of the rectangle, then the longer dimension is twice the shorter one:

(x +6) = 2(x -6)

18 = x . . . . . . . . . add 12-x to both sides

This is the side length of the square. The rectangle dimensions are ...

x+6 = 18+6 = 24 . . . . feet long

x -6 = 18 -6 = 12 . . . . feet wide

The rectangle is 12 feet wide and 24 feet long. The square is 18 feet on a side.

<em>Additional comment</em>

The perimeter in each case is 4x = 2((x+6) +(x -6)) = 72 ft.

The area of the rectangle is (12 ft)(24 ft) = 288 ft². The area of the square is (18 ft)² = 324 ft², a value that is 36 ft² more than the rectangle area.

<em>Alternate solution</em>

Using x for the width of the rectangle, the length is 2x and its area is x(2x) = 2x². The perimeter is 2(x +2x) = 6x, so the side length of the square is (6x)/4 = 3/2x and its area is (3/2x)² = 9/4x².

The difference is 36 square feet, so we have ...

9/4x² -2x² = 36 = x²/4 ⇒ x = √(36·4) = 6·2 = 12 . . . . width of rectangle

8 0

1 year ago