All categories

2 years ago

The value in cents of 4 quarters and x dimes

Mathematics

2 answers:

malfutka [58]2 years ago

7 0

$1+x10 i think should be the answer

sergiy2304 [10]2 years ago

7 0

Answer:

100 + (10x) cents

Step-by-step explanation:

The value in cents of 4 quarters and x dimes.

1 quarter = $0.25 or 25 cents

4 quarter = 25 × 4 = 100 cents or $1.00

1 dime = $0.10 or 10 cents

x dimes = $0.10x or 10x cents

Hence the value of 4 quarters and x dimes in cents = 100+(10x) cents

You might be interested in

Given tan theta =9, use trigonometric identities to find the exact value of each of the following:_______

Ludmilka [50]

Answer:

$(a)\ \sec^2(\theta) = 82$

$(b)\ \cot(\theta) = \frac{1}{9}$

$(c)\ \cot(\frac{\pi}{2} - \theta) = 9$

$(d)\ \csc^2(\theta) = \frac{82}{81}$

Step-by-step explanation:

Given

$\tan(\theta) = 9$

Required

Solve (a) to (d)

Using tan formula, we have:

$\tan(\theta) = \frac{Opposite}{Adjacent}$

This gives:

$\frac{Opposite}{Adjacent} = 9$

Rewrite as:

$\frac{Opposite}{Adjacent} = \frac{9}{1}$

Using a unit ratio;

$Opposite = 9; Adjacent = 1$

Using Pythagoras theorem, we have:

$Hypotenuse^2 = Opposite^2 + Adjacent^2$

$Hypotenuse^2 = 9^2 + 1^2$

$Hypotenuse^2 = 81 + 1$

$Hypotenuse^2 = 82$

Take square roots of both sides

$Hypotenuse =\sqrt{82}$

So, we have:

$Opposite = 9; Adjacent = 1$

$Hypotenuse =\sqrt{82}$

Solving (a):

$\sec^2(\theta)$

This is calculated as:

$\sec^2(\theta) = (\sec(\theta))^2$

$\sec^2(\theta) = (\frac{1}{\cos(\theta)})^2$

Where:

$\cos(\theta) = \frac{Adjacent}{Hypotenuse}$

$\cos(\theta) = \frac{1}{\sqrt{82}}$

So:

$\sec^2(\theta) = (\frac{1}{\cos(\theta)})^2$

$\sec^2(\theta) = (\frac{1}{\frac{1}{\sqrt{82}}})^2$

$\sec^2(\theta) = (\sqrt{82})^2$

$\sec^2(\theta) = 82$

Solving (b):

$\cot(\theta)$

This is calculated as:

$\cot(\theta) = \frac{1}{\tan(\theta)}$

Where:

$\tan(\theta) = 9$ ---- given

So:

$\cot(\theta) = \frac{1}{\tan(\theta)}$

$\cot(\theta) = \frac{1}{9}$

Solving (c):

$\cot(\frac{\pi}{2} - \theta)$

In trigonometry:

$\cot(\frac{\pi}{2} - \theta) = \tan(\theta)$

Hence:

$\cot(\frac{\pi}{2} - \theta) = 9$

Solving (d):

$\csc^2(\theta)$

This is calculated as:

$\csc^2(\theta) = (\csc(\theta))^2$

$\csc^2(\theta) = (\frac{1}{\sin(\theta)})^2$

Where:

$\sin(\theta) = \frac{Opposite}{Hypotenuse}$

$\sin(\theta) = \frac{9}{\sqrt{82}}$

So:

$\csc^2(\theta) = (\frac{1}{\frac{9}{\sqrt{82}}})^2$

$\csc^2(\theta) = (\frac{\sqrt{82}}{9})^2$

$\csc^2(\theta) = \frac{82}{81}$

4 0

3 years ago

Match each graph to its equation.

sertanlavr [38]

Answer:

1- A

2- C

3- B

4- D

Step-by-step explanation:

5 0

2 years ago

Rob Polanski is a tractor salesman. Last week his total sales amounted to $38,642.00, and he received $2,704.94 in commission. W

Alexeev081 [22]

To find the rate of commission, divide the amount of commission by his total sales:

2704.94 / 38642.00 = 0.07 = 7%

The answer is D. 7%

7 0

3 years ago

Read 2 more answers

The following set of numbers is going to be graphed on a histogram. If there are going to be four intervals, what will the lengt

Alina [70]

The length of each interval would be 3.75 rounding to whole number is 4.

Step-by-step explanation:

Stack in excel from lowest to highest points.
Total number of data points are 14.
Frequency distribution to be created.
You can use countif function for frequency distribution.
Since we have already got the number of intervals.
It will be easier to calculate the number if intervals.
normally there should be 5-15 intervals to get a better histogram.
Basic formula is Highest data point - Lowest data point/ classes/intervals.
So (29-14)/4 = 3.75 rounding to 4.

8 0

3 years ago

what's the equation for the length of a rectangle is twice its width the perimeter of the rectangle is 126 feet

sveticcg [70]

P = 2l + 2w
p-2w = 2l
p-2w/2 = l

Substitute the perimeter and you should be able to work it out

6 0

2 years ago