Answer:
First number =26
Second number =49
Step-by-step explanation:
Question:
The sum of two numbers is 75. The second number is 3 less than twice the first. Find the numbers.
Given:
Sum of two numbers = 75
The second number is 3 less than twice the first.
To find the numbers.
Solution:
Let the first number be = 
Let second number be = 
The sum equation can be given as:
It is given that the second number is 3 less than twice the first.
This can be given as:
Substituting the value of in terms of in the sum equation.
Combining like terms.
Adding 3 both sides.
Dividing both ides by 3.
Substitution in the second equation to find .
Thus, first number =26 and second number =49.
Answer:
450 pennies
Step-by-step explanation:
2/3 ➡ 3/3 × 2/3 = 6/9
let's call it 9x
the bank contains 6x after she removes 100 pennies 4x is left
which means 2x = 100 pennies and x = 50 pennies
therefore the bank can carry 50 × 9 = 450 pennies
Answer:
24
Step-by-step explanation:
Use the Pythagorean theorem.
Where the sum of the two legs squared is equal to the hypotenuse squared.
10² + x² = 26²
100 + x² = 676
x² = 576
x = √576
x = 24
The value of x is 24.
Answer:
36 m^2
Step-by-step explanation:
A trapezoid's area can be found by (side 1 + side 2) * (height ÷ 2)
The swimmer is 160 feet from the base of the platform
The diagram representing this illustration is shown below
Braylen's height = 6 feet
The platform's height = 8 feet
Total height = 8 + 6
Total height = 14 feet
Angle of depression, θ = 5°
Let the distance between the swimmer and the base of the platform be x
The value of x is calculated using the trigonometric identity below
The swimmer is 160 feet from the base of the platform
Learn more here: brainly.com/question/23497407
