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3 years ago

If sin θ = cos 40°, 0<θ<90°, what is θ?

Mathematics

1 answer:

Bezzdna [24]3 years ago

3 0

Answer:

θ = 50 degrees

Step-by-step explanation:

we have sin θ = cos 40°

θ = arcsin ( cos 40°)

and make sure θ is less than 90 and greater than 0

θ = arcsin (0.766044443)

θ = 50 degrees

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Whats the answer to. 9(x+3)=4 x-3

lys-0071 [83]

X=-6
you could either multiply 9 on both sides or distribute the 9 and isolate the variable

4 0

3 years ago

Fred borrows $2710 at 3.8% simple interest per month. When Fred pays the loan back 3 months later, what is the total amount that

Fantom [35]

Step-by-step explanation:

Simple interest =P (1+. R )^n

/100

Where P is the amount

R is rate (%)

n is number of years

So if you are given months your divide ➗ the number of months by 12 years

2710 *(1+ [ 3.8/100])^3/12

5 0

2 years ago

12 - 16 ÷(-4) A. -1 B. 1 C. 8 D. 16

Naya [18.7K]

Answer:

D. 16

Step-by-step explanation:

Do the division first

-16 ÷ (-4) = 4 then do the sum

12 + 4 = 16

7 0

3 years ago

An ice cream store has the pricing shown below. You want to determine the best value. The height of the cone is 4.5 in and the d

nignag [31]

Solution:

Step 1:

We will calculate the volume of ice cream in the single scoop

The volume of the ice cream will be

$\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{2}{3}\pi r^3 \\ r=\frac{2in}{2}=1in(cone) \\ h=4.5in \\ r=\frac{3in}{2}=1.5in(radius\text{ of the hemisphere\rparen} \end{gathered}$

By substituting the values, we will have

$\begin{gathered} V=\frac{1}{3}\pi r^{2}h+\frac{2}{3}\pi r^{3} \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5+\frac{2}{3}\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{99}{14} \\ V=\frac{165}{14} \\ V=11.79in^3 \end{gathered}$

Step 2:

We will use the formula below to calculate the volume of the two scoops of ic cream

$\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{4}{3}\pi r^3 \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5in+\frac{4}{3}\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{99}{7} \\ V=\frac{132}{7} \\ V=18.86in^3 \end{gathered}$

Step 3:

We will use the formula below to calculate the volume of the three scoops of ic cream

$\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{6}{3}\pi r^3 \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5+2\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{297}{14} \\ V=\frac{363}{14} \\ V=25.93in^3 \end{gathered}$

For the first ice cream with one scoop

$\begin{gathered} 1in^3=\frac{3.50}{11.79} \\ 1in^3=\text{ \$}0.30 \end{gathered}$

For the second ice cream with two scoops

$\begin{gathered} 1in^3=\frac{4.50}{18.86} \\ 1in^3=\text{ \$}0.24 \end{gathered}$

For the third ice cream with three scoops

$\begin{gathered} 1in^3=\frac{5.50}{25.93} \\ 1in^3=\text{ \$}0.21 \end{gathered}$

Hence,

The final answer is

The triple sold at $5.50 has the best value because it has the lowest price of $0.21 per cubic inch of the ice cream

3 0

8 months ago

Find the midpoint of the line segment with the given endpoints. R(-12, 8), S(6, 12)

umka21 [38]

Answer:

The answer is one.

Step-by-step explanation:

4 0

2 years ago