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3 years ago

Please help asap, how do I find the missing variables? (Trigonometry)

Mathematics

1 answer:

Georgia [21]3 years ago

8 0

Answer:

x = 5.333 , y= 9.620764575

Step-by-step explanation:

sin(29)/x = sin(90)/11

x = 11* sin(29)/sin(90)

x = 5.333

(5.333)^2 + y^2 = 121

y^2 = 121 - (5.333)^2

y= 9.620764575

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Collin's Cambridge IGCSE Maths

Dafna11 [192]

Volume of Sphere

6231 spheres can be made from 1 kg of lead

Step-by-step explanation:

Given Density of lead d = 11.35 gm/cm³

Let the maximum number of spheres that can be made with 1 kg of lead = n

Radius of sphere r = 1.5 mm = 0.15 cm

Volume of Sphere = $4/3 \pi r^{3} \\$

Volume of one sphere V = (4/3) * 22.7 * r³

Volume of n spheres = n * (4/3) * 22.7 *r³ ….. Eq (1)

Total mass of lead m = 1kg = 1000gm ...Eq (2)

Equating the above two equations

n × V × d = m

n × (4/3) × 22.7 × ( 0.15 )³ = 1000

Therefore calculating n= 6231.45

But considering the whole number, 6231 spheres can be made from 1 kg of lead.

3 0

3 years ago

Which expressions are equivalent to the one below? check all that apply :)

svlad2 [7]

Since 5=15/3

5^x = (15/3)^x = 15^x / 3^3

Choices A and D

4 0

3 years ago

Create a system of quadratic inequalities. Graph the system and list three values in their solution set. Show your work.

givi [52]

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4 0

3 years ago

How to simplify 2mg x 5m²k

Damm [24]

hey, I'm not sure about this answer, but I think it's true, sorry

m(2g+5mk)

6 0

3 years ago

Suppose that you have $5,000 to invest. Which investment yields the greater return over a 10 year period: 7.74% compounded daily

marin [14]

Answer:

We should invest in 7.74% compounded daily as it yields a higher return.

The total investment after 10 years is $10,841.22.

Step-by-step explanation:

a.) at 7.74% compounded daily

$final = principal(1 + \frac{i}{m} )^{m \times n} \\ = 5000(1 + \frac{0.0774}{365} )^{365 \times 10} \\ = 10 \: 841.2235$

I assumed there are 365 days in a year.

b.) at 7.8% compounded quarterly

$final = principal(1 + \frac{i}{m}) ^{m \times n} \\ = 5000 (1 + \frac{.078}{4} )^{4 \times 10} \\ = 10 \: 762.2505$

7 0

3 years ago