Answer:
The width of the rectangle is <u>7 feet</u>.
Step-by-step explanation:
Given:
The perimeter of a rectangle is 54 feet, and the length is 13 feet more than the width.
Now, to find the width of the rectangle.
Let the width be 
So, the length is 
Perimeter = 54 feet.
Now, to get the width we put formula:
<em>Subtracting both sides by 26 we get:</em>
<em>Dividing both sides by 4 we get:</em>
Therefore, the width of the rectangle is 7 feet.
Answer:
You will get $4.36 back.
Step-by-step explanation:
You have to total the cost of the food and drink.
8.39 + 2.25 = 10.64
You give your total money to the cashier to pay for your goods.
10 + 5 = 15
The cashier will give you the refund or change back.
15 - 10.64 = 4.36
Answer:
1. f= 9
2. y= 10
3. h= 2.5
4. q= 10
5. m= 6
Step-by-step explanation:
1. you divide both sides by 3 to get f by itself
2. you divide both sides with 6
3. you subtract because it is the opposite of addition. you could also write 5/2 but that’s not simplified enough
4. 10 x 4 = 40 so 10 is the answer
5. you subtract both sides by 6 and get 24. 24 divided by 4 equals 6
Answer:
quantity a is halfed
Corrected question;
A quantity a varies inversely as a quantity b, if, when b changes a changes in the inverse ratio. What happens to the quantity a if the quantity b doubles?
Step-by-step explanation:
Analysing the question;
A quantity a varies inversely as a quantity b,
a ∝ 1/b
a = k/b ......1
when b changes a changes in the inverse ratio;
Since the change at the same ratio but inversely, k = 1
So, equation 1 becomes;
a = 1/b
If the quantity b doubles,
ab = 1
a1b1 = a2b2
When b doubles, b2 = 2b1
a1b1 = a2(2b1)
Making a2 the subject of formula;
a2 = a1b1/(2b1)
a2 = a1/2
Therefore, when b doubles, a will be divided by 2, that means a is halfed.
In math, an isometry is a congruent transformation in which the distance (or length) and the angle is preserved or remains the same even after the transformation.
The transformation can be translation, rotation, reflection, etc.
Let us not use this definition of isometry to answer our question, one at a time.
(I) In here, as we can see the distances 10 and 5 and the angle 43 degrees has been preserved. So, <u>this is an isometry.</u>
(II) In here, distances have been halved, so this is<u> not an isometry</u>, even though the angles have been preserved.
(III) In here, the corresponding distances and the angles have been preserved. So, <u>this is an isometry.</u>
