The base of a triangle is 15 centimeters and its height is 6 centimeters. What is the area of the triangle?
a.21 cm2
b.45 cm2
c.90 cm2
d.180 cm2 Submit

The cost for a member and a nonmember of a rock-climbing gym will be the same at 30 visits.

To find the total number of visits when the cost for a member and a nonmember will be the same, we need to set up an equation based on the problem statement, which we can then solve.

For the member, the cost is the $360 yearly fee plus $4 per visit (for equipment rental) - so if 'x' represents the number of visits, the total cost for a member would be $360 + 4x.

For a nonmember, the cost is $10 per visit (for gym use) plus $6 per visit (for equipment rental) - so the total cost for a nonmember is $16x.

So, to find the number of visits 'x' where both costs are equal, we need to solve this equation: $360 + 4x = $16x.

Solving the equation gives us $360 = 12x, which simplifies to x = 30.

So, the cost for a member and a nonmember would be the same at 30 visits.

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To calculate the total taxi fare in Austin, first calculate the initial fee for the first 1/15 mile and then the cost for each additional 1/15 mile. For 5.8 miles, the total cost amounts to $23.25, comprising a $1.75 initial fare and $21.50 for the subsequent distance.

Let's break down the cost of a taxi ride based on the given pricing structure. To find the total cost of a taxi ride for a given distance, we need to calculate the cost for the first 1/5 mile and the additional cost for the remaining distance.

The initial cost for the first 1/5 mile is given as $1.75.

We know the total distance is 5.8 miles. Since the first 1/5 mile is included in the initial cost, the distance to be charged in increments of 1/5 mile is:

[tex]\[ 5.8 - \frac{1}{5} = 5.8 - 0.2 = 5.6 \, \text{miles} \][/tex]

To find the number of 1/5 mile increments in 5.6 miles, divide by 0.2:

[tex]\[ \frac{5.6}{0.2} = 28 \][/tex]

Thus, there are 28 additional 1/5 mile increments.

Each additional 1/5 mile increment costs $0.25. Thus, the total cost for the additional distance is:

[tex]\[ 28 \times 0.25 = 7.00 \][/tex]

The total cost is the initial cost plus the cost for the additional distance:

[tex]\[ 1.75 + 7.00 = 8.75 \][/tex]

Thus, the total cost to take a taxi from the hotel to the airport, given a distance of 5.8 miles, is $8.75.

Final answer:

Since Zekia has 6 cups of fruit juice to divide among 8 friends, with 2 not drinking, there will be no juice leftover because each of the 6 drinking friends will receive 1 cup each.

Explanation:

Zekia has 6 cups of fruit juice that she wants to divide equally among her 8 friends, but 2 friends don't drink any. Initially, we would divide 6 cups by 8 to find out how much each friend gets. However, since 2 friends aren't drinking, only 6 friends will be actually consuming the juice.

First, let's calculate the amount of juice each of the 6 friends would receive:

Total juice = 6 cups

Number of friends drinking = 8 - 2 = 6

Juice per friend = Total juice ÷ Number of friends drinking = 6 cups ÷ 6 = 1 cup

So, each of the 6 friends will get 1 cup of juice. Since all 6 cups of juice are consumed, there is no juice leftover.

Answer:

13946

Step-by-step explanation:

Not sure what the answer is but this guy didnt attach the dang picture so here.

Answer:

The required trigonometric form is [tex]4(\cos(60)-i\sin(60))[/tex]

Step-by-step explanation:

Given : Complex number [tex]-2+2\sqrt{3}i[/tex]

To find : Express the complex number in trigonometric form?

Solution :

The complex number [tex]a+ib[/tex] trigonometric form is [tex]r(\cos\theta+i\sin\theta)[/tex]                      

Where, [tex]r=\sqrt{a^2+b^2}[/tex]

and [tex]\theta=\tan^{-1}(\frac{b}{a})[/tex]

On comparing with given complex number  [tex]-2+2\sqrt{3}i[/tex]

a=-2 and [tex]b=2\sqrt{3}[/tex]

Substitute the value,

[tex]r=\sqrt{a^2+b^2}[/tex]

[tex]r=\sqrt{(-2)^2+(2\sqrt{3})^2}[/tex]

[tex]r=\sqrt{4+12}[/tex]

[tex]r=\sqrt{16}[/tex]

[tex]r=4[/tex]

[tex]\theta=\tan^{-1}(\frac{b}{a})[/tex]

[tex]\theta=\tan^{-1}(\frac{2\sqrt3}{-2})[/tex]

[tex]\theta=\tan^{-1}(-sqrt3)[/tex]

[tex]\theta=\tan^{-1}(\tan(-60))[/tex]

[tex]\theta=-60[/tex]

Substituting all values in the formula,

[tex]r(\cos\theta+i\sin\theta)[/tex]

[tex]4(\cos(-60)+i\sin(-60))[/tex]

[tex]4(\cos(60)-i\sin(60))[/tex]

Therefore, The required trigonometric form is [tex]4(\cos(60)-i\sin(60))[/tex]

Answer:

So the answer is 24 cubic units

Step-by-step explanation:

l=4 units,

w=2 units,

h=3 units and

V=4×2×3=24 cubic units.

The median number of pretzels is 54.

The lower and upper quartiles are represented by the left and right sides of the box in a box and whisker plot. The box encompasses the interquartile interval, which contains 50% of the data. The median is the vertical line that divides the box in half. On the box plot, the mean is sometimes shown by a dot or a cross.

From the given box plot we can have the following information:

Minimum = 45

Lower Quartile = 47

Median= 54

Upper Quartile= 61

Maximum = 68

Thus, the Required median is 54.

Learn more about Box- whisker plot here:

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Answer:

28.27

Step-by-step explanation:

gl on test

The radian measure of a 150° angle is (5/6) π rad, found by multiplying 150° by the conversion factor π/180.

To find the radian measure of a 150° angle, we use the relationship between degrees and radians. Recall that a full circle in degrees is 360° and in radians is 2π rad. Therefore, we can say that 360° equals 2π radians. To convert degrees to radians, we multiply the degree measure by the fraction π/180.

For a 150° angle, the calculation would be:
150° multiplied by the conversion factor π/180
150° * (π/180) = (150/180) * π = (5/6) * π rad

Thus, the radian measure of a 150° angle is (5/6) π rad.

Answer:

40 cm or 2/5 of a meter.

Step-by-step explanation:

A short-sighted person, at a positive diopter, will take an estimation of about 2.5 and make it the denominator by 1 as the numerator to find out the distance (in meters) that they can see clearly.

We can find the value of f, given the value for P:

P = +2.50

f = 1 / p = 1 / 2.50

(changing the units, it will be)  ---> 100 / 2.50 which is equal to 40 cm.

Therefore, 40 cm which is 2/5 of a meter is the distance a person with glasses +2.5d can see clearly.