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2 years ago

9

Mr. Vectadore Is buying two new cowboy hat altogether the hats cost $75.12 the second half cost twice as much as what is the pri

ce of the more expensive hat

1 answer:

Bond [772]2 years ago

4 0

The most expensive hat costs $50.08

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Expressed in the simplest form csc theta times tan theta times cos theta is equivalent to

mart [117]

<span>From the given information cosec theta times tan theta times cos theta, writing this triginometric expression as an equation. cosec theta x tan theta x cos theta cosec theta = 1/sin theta tan theta = sin theta / cos theta Calculating the equation after substituting (1/sin theta) x (sin theta / cos theta) x (cos theta) = 1</span>

4 0

3 years ago

Two numbers have a sum of 77. If one number is p, express the other number in terms of p.

zhannawk [14.2K]

Answer: 77-p

Step-by-step explanation:

o=other number

o+p=77

o+p-p=77-p

o=77-p

3 0

1 year ago

An automobile's radiator has a capacity of fifteen quarts, and it currently contains twelve quarts of a thirty percent antifreez

Paha777 [63]

[12(.3)+x(1)]/(12+x)=.4

3.6+x=4.8+.4x

.6x=1.2

x=2 qts

(though your radiator would still be short a quart for doing so :) )

4 0

3 years ago

Read 2 more answers

Euler Bank advertises that it compounds interest continuously and that it will double your money in 20 yr. What is the annual in

Romashka [77]

To solve this problem you must apply the proccedure shown below:

1. You must apply the following formula:

$FV=(PV)(e^{it})$

Where $FV$ is the future value, $PV$ is the present value, $i$ is the interest rate and $t$ is the time in years.

2. You have that the bank will double your money in $20$ years. Therefore:

$FV=2PV$

3. Substitute values into the formula and solve for $i$ , as following:

$2PV=(PV)(e^{(i)(20)} \\ 2=e^{(i)(20)}$

4. By applying natural logarithm, you have:

$ln(2)=(i)(20) \\ i= \frac{ln(2)}{20} \\ i=0.0346$

$i=3.46$ %

The answer is: $3.46$ %

6 0

3 years ago

Please help me answer this!

Tomtit [17]

Answer:

<em>x = 3</em>

Step-by-step explanation:

<u>Trigonometric Ratios</u>

The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of a right triangle is called the hypotenuse and the other two sides are the legs.

The tangent ratio relates the opposite leg with the adjacent leg. Please note the given side is the opposite leg to 60° and x is the adjacent leg to 60°, thus we apply the tangent ratio:

$\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}$

$\displaystyle \tan 60^\circ=\frac{3\sqrt{3}}{x}$

Solving for x:

$\displaystyle x=\frac{3\sqrt{3}}{\tan 60^\circ}$

Since:

$\tan 60^\circ=\sqrt{3}:$

$\displaystyle x=\frac{3\sqrt{3}}{\sqrt{3}}$

Simplifying:

x = 3

5 0

2 years ago