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belka [17]
2 years ago
5

Cruz's Frame shop makes. a mat by cutting out the inside of a rectangular mat board. Find the length and width of the original m

at if the area of the mat board is 148 square inches. the outside length and with are 2x-1 and x+6 the inside length and width are 2x-5 and x+2
Mathematics
1 answer:
My name is Ann [436]2 years ago
5 0

Answer:

length = 23 inches ; width = 18 inches.

Step-by-step explanation:

Length and width can be found from the following expression after solving for x. The expression is given by :

outside area - inside area = 148 square inches

(2·x - 1)·(x + 6) - (2·x - 5)·(x + 2) = 148  (On substitute length and width expressions. Each area is the product of length and width.)

⇒ 2·x² + 11·x - 6 - (2·x² - x - 10) = 148

⇒ 12·x + 4 = 148 .................(On simplifying the expression)

⇒ 12·x = 144

⇒ x = 12

Then the original length of the mat is given by substituting value of x in outside length expression :

2·x - 1 = 2·12 - 1 = 23 inches

and the original width of the mat is given by :

x + 6 = 12 + 6 = 18 inches

Hence, the overall dimensions of the original mat are 23 inches by 18 inches.

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Svet_ta [14]

Answer:

C 3.5*10^3

Step-by-step explanation:

7 0
3 years ago
∠x and ∠y are supplementary angles. ∠y measures 97੦ What is the measure of ∠x?
trasher [3.6K]

Answer:

83 degrees

Step-by-step explanation:

Supplementary angles are two angles whose sums add up to 180 degrees. Since you have one angle that is 97 degrees and one that is unknown, you can just subtract 97 from 180.

180 - 97 = 83 degrees

8 0
3 years ago
PLS HELP ME solve the system of equations <br> all I need is to find x,y and z
ale4655 [162]

(x,y,z)=(-4,-2,-5)

I added some images for explanation

7 0
3 years ago
In a football league, 4 coaches are needed for every 38 players. If 84 players sign up for softball, how many coaches are needed
pickupchik [31]
9


8.842 but the answer would have to be rounded because you can’t have .842 coaches... the answers 9!!!!
6 0
3 years ago
Please Help!
Alecsey [184]

The area that the dog can wander based on the information provided will be 931π.

<h3>How to calculate the area?</h3>

From the information, we are told that the dog dog is attached to a 35-foot rope fastened to the outside corner of a fenced-in garden that measures 28 feet by 36 feet.

In this case, the dog is in an outside corner. The dog can trace 3/4 of a circle when it starts walking in a circle away form the wall.

The area that the dog can wander will be:

= 3/4(π35²) + 1/4(π(35 - 28)²)

= 3/4π(35)² + 1/4π(7)²

= (3/4 × 1225)π + (1/4 × 49)π

= 918.75π + 12.25π

= 931π

Therefore, the area that the dog can wander based on the information provided will be 931π.

Learn more about area on:

brainly.com/question/25292087

#SPJ1

6 0
10 months ago
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