Which of the following is not a combination?

R = 850 cm, s = 250 cm and t=940 cm. Find the measure of ZS tothe nearest 10th of a degree

faust18 [17]

To find the measure of the s angle que are going use the cosine law because we know all the sides of the triangule:

s² = r² + t² - 2*r*t * cos(S)

Then solve the equation

s² -r² - t² = -2*r*t * cos(S)

arccos ((s² -r² - t² /-2*r*t)) = S

arccos (((250)² -(850 cm)²-(940 cm)² /(-2* 850 cm*940 cm) = S

14.9 = S

round to the nearest 10th of a degree

15º = S

5 0

1 year ago

3. A balancing balloon toy is in the shape of a hemisphere (half-sphere) attached to the base of a cone. If the toy is 4ft tall

Katen [24]

Answer:

The volume of the toy is $V=5.23\ ft^3$

Step-by-step explanation:

step 1

Find the volume of the hemisphere

The volume of the hemisphere is given by the formula

$V=\frac{2}{3}\pi r^{3}$

In this problem, the wide of the toy is equal to the diameter of the hemisphere

so

$D=2\ ft$

$r=2/2=1\ ft$ ----> the radius is half the diameter

substitute

$V=\frac{2}{3} \pi (1)^{3}=\frac{2}{3} \pi\ ft^3$

step 2

Find the volume of the cone

The volume of the cone is given by

$V=\frac{1}{3}\pi r^{2}h$

we know that

The radius of the cone is the same that the radius of the hemisphere

so

$r=1\ ft$

The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy

$h=4-1=3\ ft$

substitute the given values

$V=\frac{1}{3}\pi (1)^{2}(3)=\pi\ ft^3$

step 3

Find the volume of the toy

we know that

The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.

so

$V=(\frac{2}{3} \pi+\pi)\ ft^3$

$V=(\frac{5}{3}\pi)\ ft^3$

assume

$\pi=3.14$

$V=\frac{5}{3}(3.14)=5.23\ ft^3$

5 0

3 years ago

Help me thanks<br> Xxxxxxxxxx

34kurt

Answer:

A : 6.5

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Suppose that you earned a bachelor's degree and now you're teaching high school. The school district offers teachers the oppor

harkovskaia [24]

Answer:

A ) The Amount which will be saved after five years is $ 5742.4

B ) The compound Interest is $ 1742.4

Step-by-step explanation:

The Principal deposited at the end of each year = $ 4000

The rate of interest = 7.5 % compounded annually

The time period = 5 years

From compounded method :

Amount = principal × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

or, Amount = $ 4000 × $(1+\dfrac{\textrm 7.5}{100})^{\textrm 5}$

Or, Amount = $ 4000 × $(1.0075)^{5}$

or, Amount = $ 4000 × 1.4356

∴ Amount = $ 5742.4

A ) The Amount which will be saved after five years is $ 5742.4

B ) The compound Interest = Amount - principal

Or, C I = $ 5742.4 - $ 4000 is $ 1742.4 Answer

8 0

3 years ago

Marą purchased a cell

DanielleElmas [232]

Answer: $28.30✔️

Step-by-step explanation:

Let C = cost before tax

Cell phone costs = C + C·6% = $30

C(1 + 0.06) = $30

C = $30/1.06 = $28.30

Answer: $28.30✔️

<h3> Verify </h3>

Cell phone after tax = $28.30 + $28.30·6/100 = $28.30 + $1.70 = $30✔️

<h2><em>Spymore </em></h2>

6 0

3 years ago