Answer:
Michelle’s house is 44 miles to Richard’s house.
Step-by-step explanation:
The distance can be found out by using the trigonometric ratio of sine theta
Sine theta= Perpendicular/ Hypotenuse
We know the values of hypotenuse and theta
Sine 30 = 22/ Hypotenuse
Hypotenuse= 22/ sine 30
Hypotenuse= 22/0.5
Hypotenuse = 44
The hypotenuse marks the distance between Michelle’s house to Richard’s house. Due east means counter clockwise rotation from east.
Answer:
(2x+3)(2x+3)
Step-by-step explanation:
a^2+2ab+b^2
Answer:
0.35m + 25 = 42.50
Step-by-step explanation:
If you were to rent a truck for one day you will first have to pay a $25 fee for one day. This is represented by + 25 in the equation above.
Then for every mile you go you must pay $0.35, represented as 0.35m.
<em>As an example to make it easier if you had to pay 1 dollar per mile and you went 10 miles it would cost $10. This can be proved by 1m (m being the variable for number of miles) Plug in 10 for m and you can asee 1(10)=10, because obviously 1 times 10 is 10. </em>
Same premise with $0.35
Then both of those fees added up are equal to a total of $42.50.
To prove it can find the exact number of miles that need to be driven to cost a total of $42.50 just follow steps bellow.
1. 0.35m + 25 - 25 = 42.50 - 25
Subtracting the inital fee since it is part of the total, and if you add/subtract/multiply/divide on one side you must do to the other.
2. 0.35m/0.35 = 17.50/0.35
You divide because m is being multiplied with 0.35 and to undo the multiplication you divide. Doing the same to both sides.
3. m = 50
Plug in 50 to "m" in the equation above and if both sides are equal the answer is valid.
Answer:
5
The least number 12500 need to be multiplied by to make it a perfect square is 5.
Corrected question;
By which least number should 12500 be multiplied to make them perfect squares
Step-by-step explanation:
Perfect squares are squares of whole numbers.
Like 4,9,16 etc.
For 12500, we need to first of all reduce it to its Lowest factors.
12500 = 2×2×5×5×5×5×5
Grouping the factors into pairs of thesame factors.
12500 = (2×2) × (5×5) × (5×5) × 5
Looking at the pairs of factors, we can observe that the last factor 5 need to be paired to make the number a perfect square.
So, when the number is multiplied by 5;
12500 × 5 = (2×2) × (5×5) × (5×5) × (5×5)
62500 = (2×2) × (5×5) × (5×5) × (5×5)
62500 = (2×5×5×5)^2 = 250^2
Hence, 62500 is a perfect square.
The least number 12500 need to be multiplied by to make it a perfect square is 5.
