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3 years ago

Please help are you to do is find the surface area of the pyramid please help please

Mathematics

2 answers:

Delvig [45]3 years ago

7 0

Answer:

180.286868 or 180.29

Step-by-step explanation:

28 X 8.7 = 243.6

243.6 x 1/2 = 180.29

Hunter-Best [27]3 years ago

6 0

Answer:

Step-by-step explanation:

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3 years ago

Water is leaking out of an inverted conical tank at a rate of 6800.0 cubic centimeters per min at the same time that water is be

m_a_m_a [10]

Answer:

6.82 $mt^3/min$

Step-by-step explanation:

By congruence of triangles, the radius r of the cone base when its height is 1 meter satisfies the relation

r/1 = 2.5/6

(See picture attached)

So, r = 0.4166 meters when the water is 1 meter high.

The volume of a cone with radius of the base = R is given by

$V=\frac{\pi R^2h}{3}$

So, the volume of water when it is 1 meter high is

$V=\frac{\pi* 0.(4166)^2}{3}=0.1817\;mt^3$

One minute later, the height of the water is 1 meter + 30 centimeters = 1.30 mt

The radius now satisfies

r/1.3 = 2.5/6

and now the radius of the base is

r = 0.5416 mt

and the new volume of water is $0.3071\;mt^3$

So, the water is raising at a speed of

0.3071-0.1871 = 0.12 $mt^3/min$

This speed equals the difference between the water being pumped and the water leaking,

So,

<em>0.12 = Speed of water being pumped -6.8 </em>

and

Speed of water being pumped = 6.8+0.12 = 6.82 $mt^3/min$

8 0

3 years ago

The credit department of Lion's Department Store in Anaheim, California, reported that 30% of their sales are cash, 30% are paid

Oliga [24]

Answer:

Hence the probability that she paid cash is 0.105

Step-by-step explanation:

P(cash) = 0.3

P(credit card ) = 0.3

P(debit card ) = 0.4

P ( more than $50 | cash ) = 0.2

P (more than $50 | credit card ) =0.9

P (more than $ 50 |debit card ) = 0.6

P ( more than $50) = P ( more than $50 | cash )* P (cash) + P (more than $50 credit card ) * P(credit card ) + P (more than $ 50 |debit card )* P(debit card )

= 0.2 * 0.3 + 0.9 * 0.3 + 0.6* 0.4

= 0.57

P ( more than $50) = P ( more than $50 | cash )* P (cash) / P ( more than $50)

= 0.2* 0.3 / 0.57

= 0.105

6 0

3 years ago

At a border inspection station, vehicles arrive at the rate of 10 per hour in a Poisson distribution. For simplicity in this pro

7nadin3 [17]

Answer:

no❤️Step-by-step explanation:

8 0

3 years ago

Which pair of equations below is a result of constructing the altitude, h, in traingle ABC?

Korolek [52]

Answer:

sinA = h/c; sinC = h/a

Step-by-step explanation:

Which pair of equations below is a result of constructing the altitude, h, in Triangle ABC?

sinA= h/c

sinC= h/a

sinA= h/c

sinB= b/c

sinA= b/c

sinC= b/a

Solution:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as right angled, acute, obtuse and isosceles triangle.

In right angle triangle, one angle is 90°. From Pythagoras theorem, the square of the longest side (hypotenuse) is equal to the sum of the square of the two sides.

In right triangle, trigonometric identities are used to show the relationship between the sides of a triangle and the angles.

sinθ = opposite / hypotenuse, cosθ = adjacent / hypotenuse, tanθ = opposite / adjacent

Therefore in triangle ABC:

sinA = h/c; sinC = h/a

4 0

2 years ago