Answer:
41.802 feet
Step-by-step explanation:
Given that a 92 ft path cuts diagonally from Mateo St. to Cove St. It makes an angle of 68° with Cove St. and an angle of 34° with Mateo St.
We can visualize a triangle formed by the three streets One side is 92 feet.
Angle opposite 92 feet = 
Let x be length of Cove st and y length of Mateo st.
Using sine angle for triangles,
Simplify to get
x=52.595
y=87.207
Distance saved= 
Answer:
$19.07
Step-by-step explanation:
First off we need to find the discounted price of the jeans that Jessica bought.
We find the discount by multiplying the original price by 25% or 0.25
Discount Price = 23.98 x 0.25
Discount Price = 5.99
Now we subtract the discount from the original price.
Discounted Price = 23.98 -5.99
Discounted Price = 17.99
Now that we have the discounted price, we then compute for the sales tax.
Sales Tax = 17.99 x 0.06
Sales Tax = 1.08
Then we add the sales tax to the discounted price.
Total Price = 17.99 + 1.08
Total Price = $19.07
Jessica spent $19.07 on the jeans.
Answer:
x = 30
Step-by-step explanation:
The sum of the 3 interior angles of a triangle = 180°, hence
x + x + 10 + 3x + 20 = 180
5x + 30 = 180 ( subtract 30 from both sides )
5x = 150 ( divide both sides by 5 )
x = 30
Answer:
The answer is 120 feet.
Step-by-step explanation:
The area of the field (A) is:
A = w · l (w - width, l - length)
It is known:
A = 12,000 ft²
l = w - 20
So, let's replace this in the formula for the area of the field:
12,000 = w · (w - 20)
12,000 = w² - 20
⇒ w² - 20w - 12,000 = 0
This is quadratic equation. Based on the quadratic formula:
ax² + bx + c = 0 ⇒
In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000
Thus:
So, width w can be either
or
Since, the width cannot be a negative number, the width of the field is 120 feet.
Answer:
4/7x - 5 ________________________________________
