Answer:
19.75. The apples cost 19.75 before the tax.
Step-by-step explanation:
0.97(x)=19.16
19.75
Answer:
D. 850 square foot
Step-by-step explanation:
Area of a space is the length
multiply by the width
The area for the kitchen, dining, office and sunroom will be calculated independently and added together.
Note the word "and the office and sunroom are each 10 feet by 10 feet"
Kitchen area = 10 ft x 15ft= 150sqft
Living/Dining area = 20ftx25ft= 500sqft
Sunroom = 10ftx10ft= 100sqft
Office= 10ftx10ft=100sqft
Therefore total surface area is the cumulative of the 4 areas
150sqft+500sqft+100sqft+100sqft= 850sqft
Option C:
is equivalent to the given expression.
Solution:
Given expression:
To find which expression is equivalent to the given expression.
Using exponent rule:
Using exponent rule:
Divide both numerator and denominator by the common factor –6.
Therefore, is equivalent to the given expression.
Hence Option C is the correct answer.
The height of the kite will be 53.32 feet above the ground.
<h3>What is trigonometry?</h3>
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
Given that:-
- The boy is flying a kite, holding his hands a distance of 3.5 feet above the ground and
- letting all the kite's strings play out. He measures the angle of elevation from his hand to the kite to be 29°. If the string from the kite to his hand is 110 feet long, what is the total vertical height?
The height of the kite above the ground will be calculated as:-
H = Sin(29) x 110
H = 53.32 feet
The hand of the boy is 3.5 above the ground so the total height H(t) of the kite above the ground will be:-
H(t) = 53.232 + 3.5
H(t) = 56.28 feet.
Therefore the height of the kite will be 53.32 feet above the ground.
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Answer:
(- 2, 0 ) and (- 4, - 2 )
Step-by-step explanation:
Given the 2 equations
y = x + 2 → (1)
y = x² + 7x + 10 → (2)
Since both equations express y in terms of x we can equate them, that is
x² + 7x + 10 = x + 2 ( subtract x + 2 from both sides )
x² + 6x + 8 = 0 ← in standard form
(x + 2)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x + 4 = 0 ⇒ x = - 4
Substitute these values into (1) for corresponding values of y
x = - 2 : y = - 2 + 2 = 0 ⇒ (- 2, 0 )
x = - 4 : y = - 4 + 2 = - 2 ⇒ (- 4, - 2 )
Solutions are (- 2, 0 ) and (- 4, - 2 )