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: The answer to your question is 6
Step-by-step explanation:
To solve this problem we will use proportions. We will compare the largest right triangle and the medium size triangle.
Medium triangle Large triangle
hypotenuse y 9 + 3
adjacent size 9 y
- Write the proportions
y/9 = (9 + 3)/y
-Solve for y
y² = 9(12)
y² = 108
y = 
-Find the prime factors of 108
108 2
54 2
27 3
9 3
3 3
1
then, 108 = 2² 3³
-Expressthe root as fractional exponents
2²/² 3²/² 3¹/²
-Simplification
2(3)(3)¹/²
-Result
6
Answer:
The percent of the area under the density curve where
is more that 3 is 25 %.
Step-by-step explanation:
Since the density curve is a linear function, the area under the curve can be calculated by the geometric formula for a triangle, defined by the following expression:
(1)
Where:
- Area, in square units.
- Base of the triangle, in units.
- Height of the triangle, in units.
The percent of the area is the ratio of triangle areas under the density curve multiplied by 100 per cent, that is:


The percent of the area under the density curve where
is more that 3 is 25 %.
The answer would be A. <span>The registration fee is $5.50, and the cost per download is $0.95.</span>
Solution
Let x = registration fee
y = cost/downloads
Jack
15y + x = 19.75 ; x = 19.75 - 15y
Jim
40y + x = 43.50
Thus,
40y + x = 43.50
40y + <span>19.75 - 15y = 43.50
</span>25y = 23.75
y= 0.95
for x,
<span>x = 19.75 - 15y</span>
x = 19.75 - 15( 0.95)
x= 19.75 -14.25
x = 5.5
I the answer To You Problem Is C