Answer:
8 feet
Step-by-step explanation:
Answer:
Option (2).
Step-by-step explanation:
It is given in the question,
ΔLMN is a right triangle with base LM = 3a units
Hypotenuse MN = 5a
By applying Pythagoras theorem in ΔLMN,
MN² = LM² + NM²
(5a)² = (3a)² + MN²
25a² - 9a² = MN²
MN = √16a²
MN = 4a
Therefore, vertices of the triangle will be L(0, 0), M(3a, 0) and N(0, 4a).
Option (2) will be the answer.
Answer:
96.512 °F < x < 591.242 °F
Step-by-step explanation:
We are given;
Melting point = 35.84 °C
Boiling point = 310.69 °C
Now, we are given that formula to convert °C to °F is;
°C = (5/9)°F
Thus if the temperature in Fahrenheit is x, then;
Melting point is; 35.84 °C = (5/9)x°F - "32"
x = ((9 × 35.84)/5) + 32
x = 96.512 °F
Similarly, for Boiling point;
Boiling point is;
310.69 °C = (5/9)x°F - "32"
x = ((9 × 310.69)/5) + 32
x = 591.242 °F
Now, we are told that matter is in its liquid form when it is between melting and boiling point.
Thus, range of x in inequality form is;
96.512 °F < x < 591.242 °F
1. An expression that will represent the amount of money that Ms. Thomas will spend is <u>p + 45n - c.</u>
2. The amount of money that Ms. Thomas will spend on the comedy tickets for herself and her 2 friends is <u>$155</u>.
<h3>What is a mathematical expression?</h3>
A mathematical expression is a statement that involves two or more variables that require some mathematical operations.
Most commonly, a mathematical expression contains numbers, variables, and operators, which show a value after the mathematical operations.
<h3>Data and Calculations:</h3>
Parking fee = $35
Ticket fee per person = $45
The number of people on the show = 3 (Ms. Thomas and her two friends)
Coupon = $15
Amount of money spent = p + 45n - c
where p = parking fee, n = number of visitors, and c = coupon received.
= 35 + 45 x 3 - 15
= $155
Learn more about mathematical expressions at brainly.com/question/1852123
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Answer:
x = 103
Step-by-step explanation:
In my opinion, because x and 77 are the supplementary angles, so 180-77 = x or x+77=180. The answer should be 103......even though it's not in the options (I'm sorry).
