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bekas [8.4K]
3 years ago
13

The length of a rectangle is 6 inches more than its width. If 3 inches are taken from the length and added to the width the figu

re becomes a square with an area of 400 square inches. What are the dimensions of the original figure
Mathematics
1 answer:
NARA [144]3 years ago
3 0

Answer:

The dimensions of a square with area 400 are 20 by 20. This means if 3 inches are taken from the length and added to the width, we get the dimensions were 23 by 17. 23 length 17 widths.

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Alan has forgotten his 4-digit PIN code.He knows it begins with a 6 and the 4 digits make an even number.How many different sets
Oxana [17]

Answer:

500.

Step-by-step explanation:

The last digit must end with 0, 2, 4, 6, 8   for the Pin code to be even.

The middle 2 digits may be any numbers.

So if the last number is 0 Then there are 10*10 = 100 possible PIN codes.

So  as there are 5 possible last digits , the total  possible sets of digits

= 5 * 100

= 500.

4 0
2 years ago
Michela’s skateboard ramp is at an incline of 40°. When she attempts a trick on the ramp, she finds that it is too steep. She ad
marissa [1.9K]

Answer:

22.7604763 degrees

Step-by-step explanation:

Note that the answer is NOT 20 degrees.

She adjusted the ramp to half the original <em>incline</em>

Therefore we have tan 40 = x = 0.839099631.

We want an incline of y degrees where tan y = x/2 = 0.839099631/2 = 0.419549815

Taking the arctan of both sides, we get

y = arctan(0.419549815) = 22.7604763 degrees

8 0
2 years ago
The high school leadership team is having a car wash. They charge $5.50 for large cars and $4.00 for small cars . They had a suc
11Alexandr11 [23.1K]

Answer: 56 large cars and 86 small cars.

Step-by-step explanation:

Let's call:

l: the number of large cars.

s: the number of small cars.

Then, you can set up the following system of equations:

\left \{ {{l+s=142} \atop {5.50l+4.0s=652.50}} \right.

You can use the Elimination Method:

- Multiply the first equation by -4.0

- Add both equations.

- Solve for l.

\left \{ {{-4.0l-4.0s=-568} \atop {5.50l+4.0s=652.50}} \right.\\--------\\1.5l=84.5

l≈56

Substitute l=56 into one of the original equations and solve for <em>s:</em>

<em> </em>56+s=142\\s=142-56\\s=86

3 0
2 years ago
What value of 3x makes the equation true?<br> 5x+3x=5x+15/2
slamgirl [31]

Answer:

2.5

Step-by-step explanation:

when you 5x automatically cancels, and 7.5 / 3 is 2.5

7 0
2 years ago
PLEASE HELP ME WITH THIS, I WILL DO ANYTHING!!!
vitfil [10]

Mean is the "meanest" because it requires the most work. Add up the values in your data set and divide by the number of terms in the data.

Let x represent attendees at Harry's Hoedown, then

Mean = \frac{Martha's (M) + Shirly's (S)  + Harry's (x) }{3}

41 = \frac{48 + 33 + x}{3}

123 = 48 + 33 + x

123 = 81 + x

42 = x

Answer: 42

5 0
2 years ago
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