Answer:
Step-by-step explanation:
<h3>Given GP with:</h3>
<h3>To find</h3>
<h3>Solution</h3>
<u>Formula of sum:</u>
<u>Substitute values:</u>
- S7 = 10((-2)^7 - 1)/(-2 - 1) = 10(- 128 - 1)/(-3) = 10*129/3 = 430
Answer:
Step-by-step explanation:
Answer:51.14
Step-by-step explanation:since its an isosceles triangle all interior angles are gonna be equal the exterior angle plus interior angle is will be kept equal to 360
2x+5+5x-3=360
7x+2=360
7x=358
x=51.14
The given center and point on the circle of (0,0) and (-5, 3), respectively
gives the equation of the circle as
.
The general form of the equation of the circle is presented as follows
(x - h)² + (y - k)² = r²
Where,(h, k) is the center of the circle and r is the radius of the circle
Here (h, k) is centered about the origin and the radius of the circle
Radius of the circle = √[(-5-0)² + (3-0)²]
= √(25+9)
=√34.
The equation of a circle centered on the origin going through the point (-5,3)

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Answer:
- small prism: 630 m²
- large prism: 2520 m²
Step-by-step explanation:
The total surface area of the prism is the sum of the base area and the lateral area. The base area is made up of two right triangles, so will be the product of the triangle leg dimensions. The lateral area is made up of three rectangles whose width is that of the prism and whose equivalent length is the perimeter of the triangle base.
For the smaller prism, the area is ...
(20 m)(21 m) +(3 m)(20 m + 21 m + 29 m) = 420 m² +210 m² = 630 m²
The larger prism is similar, with a scale factor of 2, so its area will be 2² = 4 times that of the smaller prism:
4×630 m² = 2520 m²
__
In summary, the total surface area of each prism is ...
- small prism: 630 m²
- large prism: 2520 m²