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zzz [600]
3 years ago
15

A ladder leans against a building. The foot of the ladder is 2 feet from the building and reaches to a point 7 feet high on the

building. What is the measure of the angle formed by the building?

Mathematics
1 answer:
Luda [366]3 years ago
8 0

Answer:

74.05 degree

Step-by-step explanation:

A ladder leans against a building. The foot of the ladder is 2 feet from the building and reaches to a point 7 feet high on the building.

The ladder forms a right angle triangle with the building

Base of the triangle is 2 feet

The distance between the ground and the top of the ladder is 7 feet

the graph is attached below

AB= 2, AC = 7

We know the opposite and the adjacent side so we use tan formula

Tan (x) = \frac{opposite}{adjacent} =\frac{AC}{AB} = \frac{7}{2}

x = tan^-1 (7/2)

x = 74.05 degree

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3 years ago
A bar of gold has a volume of 722 cubic centimeters and weighs 13.949 kilograms. What's its density in grams per cubic centimete
Ahat [919]

Answer:

The density of the  bar of gold is  19.32 grams per cubic centimeter .

Step-by-step explanation:

Formula

Density = \frac{Mass}{Volume}

As given

A bar of gold has a volume of 722 cubic centimeters and weighs 13.949 kilograms.

As 1 kilogram = 1000 gram

Than convert 13.949 kilograms into grams.

13.949 kilograms = 13.949 × 1000 grams

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8 0
3 years ago
Scientists have discovered a vaccine for a debilitating disease. This year there were 570,000 reported new cases of the disease
Ket [755]

Answer: There are approximately 853827 new cases in 6 years.

Step-by-step explanation:

Since we have given that

Initial population = 570000

Rate at which population decreases is given by

\frac{2}{3}

Now,

First year =570000

Second year is given by

570000\times (\frac{1}{3})

Third year is given by

570000(\frac{1}{3})^2

so, there is common ratio ,

it becomes geometric progression, as there is exponential decline.

so,

570000,570000\times \frac{1}{3},570000\times( \frac{1}{3})^2,......,570000\times (\frac{1}{3})^6

a=570000

common ratio is given by

r=\frac{a_2}{a_1}=\frac{1}{3}

number of terms = 6

Sum of terms will be given by

S_n=\frac{a(1-r^n)}{(1-r)}

We'll put this value in this formula,

S_6=\frac{570000(1-(\frac{1}{3})^6}{(1-\frac{1}{3})}\\\\=853827.16

So, there are approximately 853827 new cases in 6 years.

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