A bag contains 28 colored marbles. There are 5 blue marbles, 9 red marbles, 11 yellow

How do I do this, it is for geometry (ignore the answer it was a guess) thank you so much.

Evgesh-ka [11]

Answer:

AC is about 41. 095 miles long.

Step-by-step explanation:

You can use the Law of Cosines to solve this: c^2 = a^2 + b^2 – 2ab cos(C)

Substitute in your values, and you're good to go!

c^2=16^2+28^2-2(16)(28)(cos(117))

c^2 = 256 + 784 - 896(cos(117))

c = sqrt(1040 - 896(cos(117)))

c is about 41. 095 miles long.

4 0

3 years ago

Read 2 more answers

10 mi 6 mi b What is the length of the missing leg? b miles

poizon [28]

Answer:

The length of the missing leg:

b = 8 miles

Step-by-step explanation:

Given

c = 10 mi

a = 6 mi

To determine:

The length of the leg b = ?

For a right-angled triangle, with sides a and b the hypotenuse c is defined as:

$c=\sqrt{a^2+b^2}$

We can find the length of the leg b using the formula

$b=\sqrt{c^2-a^2}$

substituting c = 10 and b = 6 in the formula

$b=\sqrt{10^2-6^2}$

$b=\sqrt{100-36}$

$b=\sqrt{64}$

$b=\sqrt{8^2}$

$\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a$

$b=8$ mi

Therefore, the length of the missing leg:

b = 8 miles

6 0

3 years ago

Analyze the diagram below and complete the instructions that follow. Find sin 60 degree

Effectus [21]

Given:

Right triangle

θ = 60°

To find:

sin 60°

Solution:

The reference image is attached below.

The given triangle is a right triangle.

θ = 60°

Using basic trigonometric ratio formula:

$$\sin \theta = \frac{\text{Opposite side to } \theta} {\text{Hypotenuse}}$

$$\sin 60^\circ = \frac{\text{Opposite side to } 60^\circ} {\text{Hypotenuse}}$

$$\sin 60^\circ = \frac{BC}{AC}$

The value of sin 60° = $\frac{\sqrt{3} }{2}$ .

$$\frac{\sqrt{3} }{2} = \frac{BC}{AC}$

In the given figure, the values of adjacent side, opposite side and hypotenuse are not given.

8 0

3 years ago

What are the possible rational zeros of f(x)=x^4+2x^3-3x^2-4x+20?

Mice21 [21]

Roots test tells us to take the factors of the 20 divided by the factors of the coefficient of the the first.

factors of 20 are 1,2,4,5,10,20
factors of 1 are 1

so plus or minus 1/1, 2/1, 4/1, 5/1, 10/1, 20/1 are all possible rational zeros

8 0

4 years ago

You invest $5,000 into an account where interest compounds continuously at 3.5%. How long will it take your money to double? Rou

salantis [7]

Answer:

20 years

Step-by-step explanation:

Continuous Compounding Formula

$\large \text{$ \sf A=Pe^{rt} $}$

where:

A = Final amount
P = Principal amount
e = Euler's number (constant)
r = annual interest rate (in decimal form)
t = time (in years)

Given:

A = $10,000
P = $5,000
r = 3.5% = 0.035

Substitute the given values into the formula and solve for t:

$\sf \implies 10000=5000e^{0.035t}$

$\sf \implies \dfrac{10000}{5000}=e^{0.035t}$

$\sf \implies 2=e^{0.035t}$

$\sf \implies \ln 2=\ln e^{0.035t}$

$\sf \implies \ln 2=0.035t\ln e$

$\sf \implies \ln 2=0.035t(1)$

$\sf \implies \ln 2=0.035t$

$\sf \implies t=\dfrac{\ln 2}{0.035}$

$\implies \sf t=19.80420516...$

Therefore, it will take 20 years (to the nearest year) for the initial investment to double.

8 0

2 years ago