The sides of the triangle occur in a ratio of 4 : 7 : 2, so if <em>x</em> is some positive number, then we can write each side's length in terms of <em>x</em> as 4<em>x</em>, 7<em>x</em>, and 2<em>x</em>.
The perimeter is 299 yd, so
4<em>x</em> + 7<em>x</em> + 2<em>x</em> = 299 yd
13<em>x</em> = 299 yd
<em>x</em> = (299 yd) / 13
<em>x</em> = 23 yd
Then the sides of the triangle have lengths of
4<em>x</em> = 4 • 23 yd = 104 yd
7<em>x</em> = 7 • 23 yd = 161 yd
2<em>x</em> = 2 • 23 yd = 46 yd
"Median" here refers to the side length between the shortest and longest sides, so the answer would be 104 yd.
Answer:
<h2>
70cm/s</h2>
Step-by-step explanation:
Area of a square with side of length L is expressed as A = L². The rate at which the area is increasing will be expressed as dA/dt.
dA/dt = dA/dL * dL/dt where
dL/dt is the rate at which each side of the square is increasing.
Since dA/dL = 2L, dA/dt = 2L dL/dt
Given dL/dt = 5cm/s and the Area of the square = 49 cm²
49 = L²
L = √49
L = 7cm
dA/dt = 2(7) * 5
dA/dt = 14*5
dA/dt = 70cm/s
The rate at which the area of the square is increasing is 70cm/s
Answer: x=5 bc 5 times 5 is 25
Ste-by-step explanation:
The value of x based on the tangent-secant theorem is: <u> 19.</u>
<em><u>Recall</u></em>:
- The secant-tangent theorem states that when a tangent and a secant meet outside a circle, the product of the secant length and it's segment outside the circle is equal to the square of the tangent segment length.
- Applying the tangent-secant theorem or rule, we will have this equation:
AB = 
EB = 4
x = 19
Therefore the <u>value of x is 19.</u>
Learn more here:
brainly.com/question/9330100
Answer:
A) 
Step-by-step explanation:
1) Plug 2 sets of points into slope formula to find the slope:
2) Write the slope as a decimal:
3) Plug the slope and two points into point slope form:
4) Distribute 1.3 to x and 0:
5) Add 10 to both sides:
