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Dominik [7]
4 years ago
13

How do you solve this im loosing my mind​

Mathematics
1 answer:
ArbitrLikvidat [17]4 years ago
6 0

Answer:

D

Step-by-step explanation:

Perimeter formula : P = 2l + 2w

l = 14

68 = 28 + 2w

2w = 40

w = 20

Area formula : l * w

14 * 20 = 280

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What is the surface area of each solid pyramid? Round answers to the nearest square unit.
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The total surface area is

57ft^2.

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Lines
SashulF [63]

Answer:

5 cm

Step-by-step explanation:

If AB is tangent to the circle k(O), then radius OB is perpendicular to segment AB.

If BC is tangent to the circle k(O), then radius OC is perpendicular to segment AC.

Consider two right triangles ABO and ACO. In these triangles:

  • AO is common hypotenuse;
  • ∠OBA=∠OCA=90°, because AB⊥OB, AC⊥OC;
  • OB=OC as radii of the circle k(O).

By HL theorem, triangles ABO and ACO are congruent. Then

  • ∠OAB=∠OAC=30°;
  • AC=AB=5 cm.

Hence, ∠BAC=∠OAB+∠OAC=30°+30°=60°.

Consider triangle ABC, this triangle is isosceles triangle. In isosceles triangles angles adjacent to the base are congruent, thus

∠CBA=∠BCA=1/2(180°-60°)=60°.

Therefore, triangle ABC is an equilateral triangle, so BC=AB=AC=5 cm.

5 0
3 years ago
15. The height and yolume of a cylinder are 4cm and 616cm respectively. Calculate the diameter of the base. (take t = 27 쪽 A. 7c
irakobra [83]

Step-by-step explanation:

Given that,

  • Height of cylinder = 4 cm
  • Volume of cylinder = 616 cm³

To find,

  • Diameter of the base = ?

Firstly we'll find the base radius of the cylinder.

\longmapsto\rm{V_{(Cylinder)} = \pi r^2h}\\

<u>Accordi</u><u>ng</u><u> </u><u>to</u><u> </u><u>the</u><u> </u><u>qu</u><u>estion</u><u>,</u>

\longmapsto\rm{616= \dfrac{22}{7} \times r^2 \times 4}\\

\longmapsto\rm{616 \times 7 = 22 \times r^2 \times 4}\\

\longmapsto\rm{4312 = 88 \times r^2 }\\

\longmapsto\rm{\cancel{\dfrac{4312}{88}} =  r^2 }\\

\longmapsto\rm{49 =  r^2 }\\

\longmapsto\rm{\sqrt{49} =  r }\\

\longmapsto\rm{7 \; cm =  r }\\

Now,

\longmapsto\rm{Diameter = 2r }\\

\longmapsto\rm{Diameter = 2(7 \; cm) }\\

\longmapsto\bf{Diameter = 14 \; cm}\\

The required answer is 14 cm.

4 0
3 years ago
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