Answer: 509,082
Step-by-step explanation:
55 miles per hour
137 miles per 2 hours
343.75 miles per hour
Area of triangle is, 351. 39 cm²
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
All the sides of triangles are,
⇒ 30 cm, 30 cm, and 26 cm
We know that;
⇒ Area of triangle = √ s (s - a) (s - b) (s - c)
Where, 's' is the semi perimeter of the triangle, and a, b and c are three sides of triangle.
Here, Sides are,
⇒ a = 30
⇒ b = 30
⇒ c = 26
Hence, We get;
⇒ s = (a + b + c) / 2
⇒ s = (30 + 30 + 26) / 2
⇒ s = 86 / 2
⇒ s = 43 cm
So, The area of triangle is,
⇒ Area of triangle = √ s (s - a) (s - b) (s - c)
⇒ Area of triangle = √ 43 (43 - 30) (43 - 30) (43 - 26)
⇒ Area of triangle = √ 43 × 13 × 13 × 17
⇒ Area of triangle = 13 √ 731
⇒ Area of triangle = 13 × 27.03
⇒ Area of triangle = 351. 39 cm²
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Answer:
351.48cm²
Step-by-step explanation:
Heron’s Formula
Find half the perimeter (30+30+26)/2=43
It’s the square root of each side subtracted from 43, multiplied together, times 43.
√(43-30)*(43-30)*(43-26)*43=√13*13*17*43=√=123539=351.481cm²
3-x=5-3x
Answer:
x=1. Hope this helps!!!
Answer: The dimensions of the rectangle are 6ft and 16ft.
Step-by-step explanation:
Let the width of the rectangle be y
Let the length of the rectangle be y+10
Area= 96ft
Since area of a rectangle is length multiplied by width
y(y+10) = 96
y^2 +10y =96
y^2 +10y -96= 0
Solving algebraically,
y^2 +16y - 6y - 96= 0
y(y+16) - 6(y+16)= 0
(y-6)(y+16)= 0
y-6= 0
y =6ft
Recall that the width was denoted as y. That means the width is 6ft.
Since length is y+10= 6+10 = 16ft
Length is 16ft, width is 6ft.
Answer:
Dimensions of the rectangle = 16 by 6
Step-by-step explanation:
Let the length and breadth represent L and B
Hence L= B+10=------eqn 1
LB = 96 -----eqn2
From eqn1 L=B+10, it's substituted into eqn2
B(B+10)=96
B²+10B-96=0
It's now solved quadratically
B²+16B-6B-96
B(B+16)-6(B+16)=0
(B-6)(B+16)=0
B=6 and -16
Hence B=6 ft since it's the positive value
L= 96/B = 96/6 = 16 ft
Dimensions of the rectangle = 16 by 6