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Alexus [3.1K]
4 years ago
14

Find the surface area of a square pyramid with a length of 5 cm and a slant height of 8cm.

Mathematics
1 answer:
Tems11 [23]4 years ago
8 0
Area of the square base = 5^2 = 25 cm^2
Area of one of the triangular side = 1/2 * 5 * 8 = 20 cm^2 and there are 4 sides
So the surface area  of while pyramid = 4 * 20 + 25 = 105 cm^2

Volume of the cone = (1/3) pi r^2 h
  = (1/3) pi * 5^2 * 8
  =  209.44  ft^2
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Triangle ABC was rotated about the origin. Which rule
Nuetrik [128]
<h3>Answer: Choice A   R_0, 90^{\circ}</h3>

The R stands for "rotation". The "O" as a small subscript means "origin" which is where the x and y axis cross. The 90 degrees means we rotate 90 degrees counterclockwise. This is equivalent to 270 degrees clockwise, but writing R_0, 270^{\circ} is not correct as we don't rotate 270 degrees counterclockwise.

3 0
3 years ago
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Find the area of the trapezoid below to the nearest tenth.
kondor19780726 [428]

Answer:

Area of trapezoid = 67.6 square units

Step-by-step explanation:

Area of a trapezoid is given by the expression,

Area of the trapezoid = \frac{1}{2}(b_1+b_2)h

Here, b_1 and b_2 are the parallel sides of the given trapezoid.

And 'h' = Height between the parallel sides

From the given triangle ABE,

m(∠ABE) = m(∠ABC) - m(∠EBC)

m(∠ABE) = 120° - 90°

               = 30°

By applying cosine rule in the given triangle,

cos(30°) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

\frac{\sqrt{3} }{2}=\frac{BE}{AB}

\frac{\sqrt{3} }{2}=\frac{BE}{6}

BE = 3\sqrt{3} units

By applying sine rule in ΔABE,

sin(30°) = \frac{\text{Opposite side}}{\text{Hypotenuse}}

\frac{1}{2}=\frac{AE}{AB}

\frac{1}{2}=\frac{AE}{6}

AE = 3 units

Length of b_1=BC=10

Length of b_2=AD=(AE+EF+FD) [AE = FD, since given trapezoid ABCD is an isosceles trapezoid]

                b_2=3+10+3

                b_2=16

Height between the parallel sides h=3\sqrt{3}

Area of the trapezoid = \frac{1}{2}(BC+AD)BE

                                    = \frac{1}{2}(10+16)(3\sqrt{3})

                                    = 39\sqrt{3}

                                    = 67.6 square units

8 0
3 years ago
What is the answer to the problem
konstantin123 [22]

Answer:

option 3

Step-by-step explanation:

49/9 + 17/5 = 398/45 or 8 38/45

4 0
3 years ago
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36 apartments on 9 floors = apartments per floor
aev [14]

Answer:

4 apartments per floor

6 0
3 years ago
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Si yo tengo una canasta llena de mangos y piñas, de las cuales hay 30
skelet666 [1.2K]

Respuesta: Es más probable sacar un mango.

Explicación:

La probabilidad se refiere a la posibilidad de que un evento occura y no otro. En el caso que se describe, la probabilidad de sacar cada fruta puede ser calculada dividiendo el total de cada fruta en el número de frutas totales:

Probabilidad de sacar un mango:

\frac{cantidad de mangos}{cantidad de frutas en la canasta} =  \frac{30}{50}  =0.6

Probabilidad de sacar una piña:

\frac{cantidad de pinas}{cantidad de frutas en la canasta} = \frac{20}{50} = 0.4

De acuerdo a lo anterior la probabilidad de sacar un mango es de 0.6 o de 60% (multiplica la probabilidad por 100 para saber su equivalente en porcentaje), mientras que la probabilidad de sacar un mango es de 0.4 o 40% lo cual es mucho más bajo. Es decir que es más probable sacar un mango.

7 0
3 years ago
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