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2 years ago

PRECALCULUS QUESTION PLEASE HELP!!!!!!

Mathematics

2 answers:

s344n2d4d5 [400]2 years ago

6 0

<span>A. tan Y= y/z
Just remember the three major identities for trig with a right triangle.
sin Î¸ = opposite/hypotenuse
cos Î¸ = adjacent/hypotenuse
tan Î¸ = opposite/adjacent
And in the diagram, the opposite side to Y is y and the adjacent side is z. So the tangent is y/z which matches option "A" from your choices.</span>

elena-s [515]2 years ago

5 0

By definition you have that the tangent of an angle in a right triangle is given by the quotient between the sine of the angle and the cosine of the angle.
Since we know how much the sine and the cosine measure (we have the sides of the triangles as data), then the tangent is given by:
A. tan Y= y/z
answer
A. tan Y= y/z

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Susan earned $75 for watching her neighbor's dog for 5 days. How much did Susan make in one day

Damm [24]

You need to find how many times 5 fits into 75 5x12=60 5x13=65 5x14=70 5x15=75. so, 5 fits in to 75 fifteen times. that means Susan makes $15 a day for 5 days. 5x15=75

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2 years ago

Read 2 more answers

Suppose Casey Title Company normally charges $300 for services related to selling a house. As part of a summer special, Casey of

g100num [7]

Given :

Casey's company charges , C = $300.

In summer special, Casey offers customers a trade discount of 25%.

To Find :

Charges during summer.

Solution :

Let, x is the amount of charges they take during summer.

Casey offers customers a trade discount of 25%.

$x =300(1-\dfrac{25}{100})\\\\x=300(1 - 0.25)\\\\x=300(0.75)\\\\x=\$225$

Therefore, amount of charges during summers are $225.

Hence, this is the required solution.

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2 years ago

Determine whether the points (–3,–2) and (3,2) are in the solution set of the system of inequalities below. y ≤ ½x + 2 y < –2

lana [24]

Given:

The system of inequalities:

$y\leq \dfrac{1}{2}x+2$

$y$

To find:

Whether the points (–3,–2) and (3,2) are in the solution set of the given system of inequalities.

Solution:

A point is in the solution set of the given system of inequalities if it satisfies both inequalities.

Check for the point (-3,-2).

$-2\leq \dfrac{1}{2}(-3)+2$

$-2\leq -1.5+2$

$-2\leq 0.5$

This statement is true.

$-2$

This statement is also true.

Since the point (-3,-2) satisfies both inequalities, therefore (-3,-2) is in the solution set of the given system of inequalities.

Now, check for the point (3,2).

$2$

This statement is false because $2>-9$ .

Since the point (3,2) does not satisfy the second inequality, therefore (3,2) is not in the solution set of the given system of inequalities.

7 0

2 years ago

The costs of 5 similar digital cameras and 3 similar video cameras is $3,213. Each video camera costs 4 times as much as each di

mariarad [96]

Let,
digital cameras be "x"
video cameras be "y"
Now,
According to the question,
5x + 3y = $3,213..................................................equation (1)
y = 4x..................................................................equation (2)

Taking equation (1)
5x + 3y = $3,213
Substituting the value of "y" from equation (2), we get,
5x + 3(4x) = $3,213
5x + 12x = $3,213
17x = $3,213
x = $3,213 / 17
x = $189

Taking equation (2)
y = 4x
Substituting the value of "x", we get,
y = 4 ($189)
y = $756

Now,
John buys a digital and a video camera. So, it costs him ($189 + $756) = $945

7 0

2 years ago

If the principal is $300 rate 3% time 4 years then what is the interest earned and the new balance

Tomtit [17]

Answer:

a) Interest earned = $36

New Balance = $336

b) Interest rate = 0.05 or 5%

New Balance = $517.5

c) time t = 5

New Balance = $612.5

d) Principal Amount = $675

New Balance = $783

Step-by-step explanation:

We are given:

a) Principal (P) = $300

Rate (r) = 3% or 0.03

Time (t)= 4 years

Interest earned = ?

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding interest

$Simple \ Interest (I)= P\times r\times t\\Simple \ Interest (I)= 300\times 0.03\times 4\\Simple \ Interest (I)= 36$

So, Interest earned = $36

New Balance = Principal + Interest = 300+36 = $336

b) a) Principal (P) = $300

Rate (r) = ?

Time (t)= 3 years

Interest earned = 67.50

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding rate

$Simple \ Interest (I)= P\times r\times t\\67.50= 450\times r\times 3\\67.50=1350\times r\\r=\frac{67.50}{1350}\\r=0.05 \ or \ 5\%$

So, Interest rate = 0.05 or 5%

New Balance = Principal + Interest = 450+67.50 = $517.5

c) Principal (P) = $500

Rate (r) = 4.5% or 0.045

Time (t)= ?

Interest earned = $112.50

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding time

$Simple \ Interest (I)= P\times r\times t\\112.50= 500\times 0.045\times t\\112.50=22.5 \times t\\t=\frac{112.50}{22.5}\\t=5$

So, time t = 5

New Balance = Principal + Interest = 500+112.50 = $612.5

d) Principal (P) = ?

Rate (r) = 8% or 0.08

Time (t)= 2 years

Interest earned = 108.00

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding Principal

$Simple \ Interest (I)= P\times r\times t\\108=P\times 0.08 \times 2\\108=P\times 0.16\\P=\frac{108}{0.16}\\P=675$

So, Principal Amount = $675

New Balance = Principal + Interest = 675+108 = $783

8 0

2 years ago