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3 years ago

What is the surface area of a square pyramid with a slant height of 6cm and the length of one side of the square base is 5cm

Mathematics

1 answer:

erica [24]3 years ago

4 0

Answer:

S = 85cm^2

Step-by-step explanation:

The surface area of a square pyramid is given by the following formula:

$S=2hb+b^2$

where it has taken into account the sum of the area of a square and four triangles:

$4(\frac{hb}{2})+b*b=2bh+b^2$

h: slant height = 6cm

b: base = 5cm

By replacing in the formula you obtain:

$S=2(5cm)(6cm)+(5cm)^2=85cm^2$

hence, the surface area is 85cm^2

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Find the unknown. = (65 × 3) + 9

alekssr [168]

Answer:

204

Step-by-step explanation:

Following the order of operations, what is within the parenthesis is solved first.

65 x 3 = 195

Then, you add 9 to 195.

195 + 9 = 204

204 is the final answer.

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3 years ago

Tickets to a school dance cost $5. Ninety tickets have already been sold. How many more tickets x must be sold to earn at least

alex41 [277]

Step-by-step explanation:

5x90=450

700-450=250

250/5=50

50 more tickets.

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3 years ago

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GREYUIT [131]

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3 years ago

Question in picture A) 16/63 B)-16/63 C) 63/16 D) -63/16

Orlov [11]

ANSWER
$\tan(x + y) = - \frac{63}{16}$

EXPLANATION

We were given that,

$\csc(x) = \frac{5}{3}$

This implies that,

$\sin(x) = \frac{3}{5}$

We use the Pythagorean identity

$\sin^{2} (x) + \cos^{2} (x)= 1$
to get,

$\cos(x) = \sqrt{1 - ( { \frac{3}{5} })^{2}} = \frac{4}{5}$

We were also given that,

$\cos(y) = \frac{5}{13}$

This means that,

$\sin(y) = \sqrt{1 - {( \frac{5}{13}) }^{2} } = \frac{12}{13}$

This is because,

$0 < \: x \: < \frac{\pi}{2}$

$0 < \: y \: < \frac{\pi}{2}$

This angles are in the first quadrant so we pick the positive values.

$\tan(x + y) = \frac{ \sin(x + y) }{ \cos(x + y) }$

$\tan(x + y) = \frac{ \sin(x ) \cos(y) + \sin(y) \cos(x) }{ \cos(x) \cos(y) - \sin(x) \sin(y) }$

$\tan(x + y) = \frac{ \frac{3}{5} \times \frac{5}{13} + \frac{12}{13} \times \frac{4}{5} }{ \frac{4}{5} \times \frac{5}{13} - \frac{3}{5} \times \frac{12}{13} }$

$\tan(x + y) = - \frac{63}{16}$

The correct answer is D

4 0

3 years ago

An engineer is building a bridge that should be able to hold a maximum weight of 1 ton. He builds a model of the bridge that is

Sedaia [141]

Answer:

the bridge holds one ton. on Edgunuity

Step-by-step explanation: <3

4 0

3 years ago

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