Please use "^" to indicate exponentiation:
<span>f(x)=x^2+10x+35
Complete the square: </span><span>f(x)=x^2+10x+25-25+35 = (x+5)^2 +10
or y-10=(x+5)^2, so the vertex is at (-5,10). h has the value -5.</span>
Answer:
Length of the shorter diagonal is 8.68 cm.
Step-by-step explanation:
Length of the side AB = 11 cm
Length of side BC = 5 cm
Angle between these sides, m∠ABC = 50°
By cosine rule in ΔABC,
AC² = AB² + BC² - 2AB.BC.cos B
AC² = (11)² + 5² - 2(11)(5)cos50°
AC² = 121 + 25 - 70.71
AC = √(75.29)
AC = 8.68 cm
By the property of parallelogram,
m∠B + m∠C = 180° [Interior consecutive angles]
50° + m∠C = 180°
m∠C = 130°
Similarly, In ΔBCD,
BD² = BC² + CD² - 2BC.CD.cos130°
BD² = (5)² + (11)² - 2(5)(11)cos130°
BD² = 25 + 121 + 70.71
BD² = 216.71
BD = 14.72 cm
Therefore, length of the shorter diagonal will be 14.72 cm.
Answer:
Angle A = 42°
Side b (Opposite side of angle B) = 13
Side c (Opposite side of angle C) = 29
Answered by GAUTHMATH

Let's solve for value of values of x and y ~
According to Angle sum property of triangles :




Now, solve for y ~




Now, by the results we got, we can conclude that :
The two triangles are not similar because 70 + 58 + x = 180 means x = 52° and 70 + 49 + y=180 means y = 61°
So to find the percent do 96 divided by 800 since 96 people will be getting the part and there is 800 people trying out
You should get 12 so 12 percent
Any questions? Just ask below