Rachel earned $34 in 4 hours at her job today. She wants to know how much she could earn tomorrow if she works 10 hours at the same hourly rate. Answer:
Step-by-step explanation:
Answer: P = 6 miles
Step-by-step explanation: A rectangle is a quadrilateral with opposite sides with the same measure. As Central Park is one, its parallel sides has the same measurement.
Distance of points gives the measurement of the sides of the rectangle. It is calculated as:

For the first two points, (-1.25,-0.25) and (-1.25,0.25), note that x-components is the same, so, only y-component is relevant to the distance:


d = 0.5
Two sides of the rectangle are 0.5 miles.
For points (-1.25,0.25) and (1.25,0.25), y-component will add 0 to the formula. Then,


d = 2.5
Two sides of the park are 2.5 miles.
Perimeter is the sum of all the sides of a geometric figure.
Perimeter of central Park is
P = 0.5+0.5+2.5+2.5
P = 6
Central Park has perimeter of 6 miles.
value of x approaches infinity then the value of the function also approaches infinity. Then the correct option is B.
<h3>What is a linear equation?</h3>
Linear equation is an equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c
Linear equation with two variables, when graphed on a cartesian plane with axes of those variables, give a straight line.
The function is given below.

The function can be written as
f(x) = x - 2
The function is a linear function.
If the value of x approaches infinity then the value of the function also approaches infinity.
Learn more about linear equations here:
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Answer:
1). Option (A)
2). Option (D)
Step-by-step explanation:
1). We will use two properties of the rhombus,
- Diagonals of a rhombus are perpendicular and bisect each other.
- Diagonals of a rhombus bisect the opposite angles.
From the figure attached,
m∠DBC = 49° [Given]
m∠DBA = 49° [m∠DBC = m∠DBA]
In ΔAOB,
m∠AOB + m∠OBA + m∠BAO = 180° [Triangle sum theorem]
90°+ 49° + m∠BAO = 180°
m∠BAO = 41°
Since, m∠DAB = 2(m∠BAO)
= 2(41°)
= 82°
Option (A) will be the answer.
2). From the figure attached,
m∠JKF = (3y + 6)°
m∠KFG = (7y - 14)°
Since, m∠JKF ≅ m∠KFG
(3y + 6) = (7y - 14)
7y - 3y = 6 + 14
4y = 20 ⇒ y = 5
Option (D) will be the answer.
Answer:
Height of summit = 4300 ft
Explanation:
Let the height of summit be h.
After 3 hours, he is 2500 feet from the summit,
Height traveled = (h - 2500)
Time taken = 3 hours
Speed = (h-2500)/3
After 5 hours, he is 1300 feet from the summit
Height traveled = (h - 1300)
Time taken = 5 hours
Speed = (h-1300)/5
Here speed is same, so we have

Height of summit = 4300 ft