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3 years ago

12

alonzo and miguel scored a total of 40 points in the basketball game.miguel scored four more points than twice alonzo's score .H

ow many points did miguel score?

1 answer:

adelina 88 [10]3 years ago

3 0

Alzono has 18. Miguel has 22.

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1. Solve the given equation on the domain [0,2pi]

Mekhanik [1.2K]

Answer:

1.x = pi/3 or 4pi/3

2. x = -pi/6 +2pi*n or 5pi/6 + 2pi *n where n is an integer

Step-by-step explanation:

1. sqrt(3) tan x = 3

Divide each side by sqrt(3)

sqrt(3)/sqrt(3) tan x = 3/sqrt(3)

tan x = sqrt(3) * sqrt(3)/sqrt(3)

tan x = sqrt(3)

Take the inverse of each side

arctan (tanx) = arctan (sqrt(3))

x = arctan (sqrt(3))

x =pi/3 or - 2pi/3

Since the domain is between 0 and 2pi, add 2pi to - 2pi/3 since the trig functions are circular

x = pi/3 or -2pi/3 + 6pi/3

x = pi/3 or 4pi/3

2. 3 tan x = -sqrt(3)

Divide each side by 3

3/3 tan x = -sqrt(3)/3

tan x = -sqrt(3)/3

Take the arctan of each side

arctan (tan x) = arctan ( -sqrt(3)/3)

x = arctan ( -sqrt(3)/3)

x =-pi/6 or 5pi/6

We want all values for x so add 2pi*n to each value where n is an integer

x = -pi/6 +2pi*n or 5pi/6 + 2pi *n where n is an integer

6 0

3 years ago

The water level in ricky lake changes at an average of -7/48 inch for 1 year.Based on the rate above how much will the water lev

bearhunter [10]

we are given

The water level in Ricky lake changes at an average of -7/48 inch for 1 year

It means that

In 1 year , the water level changes at $\frac{-7}{48} inches$

and we have to find the water level change after 5 years

so, we can multiply both sides by 5

In 5*1 year , the water level changes at $5*\frac{-7}{48} inches$

In 5 years , the water level changes at $\frac{-35}{48} inches$

Hence,

the water level change after 5 years is $\frac{-35}{48} inches$ ........Answer

3 0

4 years ago

A fountain, 3 ft in diameter, sits in the center os a circular duck pond. The pond measures 3 ft from the fountain to its edge.

umka2103 [35]

Answer:

$56.55\ ft^2$

Step-by-step explanation:

We know that the diameter of the fountain is 3 feet and that it is in the center of the pond.

We know that the area of a circumference is:

$\pi(r)^2$

where r is the radius of the circumference.

further

d = 2r

Where d is the diameter of the circumference.

Then the radius $r_1$ of the source is 1.5 ft.

The radius $r_2$ of the pond is 1.5 + 3 = 4.5 ft

Finally the area of the pond is equal to the area of the ring that is shown in the image

$A = \pi(r_2)^2 - \pi (r_1)^2\\\\A = \pi(4.5)^2 - \pi(1.5)^2\\\\A = \pi(4.5^2 - 1.5^2)\\\\A = 18\pi = 56.55\ ft^2$

5 0

3 years ago

Determine whether the two triangles are similar and, if they are similar, state a reason.

aleksley [76]

Answer:

Step-by-step explanation:

By triangle sum theorem,

Sum of interior angles of a triangle is 180°.

Therefore, measure of third angle in the larger triangle = 180° - (35° + 120°) = 25°

Similarly, measure of third angle in the smaller triangle = 180° - (25° + 120°)

= 35°

Since, measure of interior angles of larger triangle is equal to the measure of smaller triangle,

Both the triangles will be similar by AA property of similarity.

5 0

3 years ago

A car rental cost 30 a day plus 0.65 per mile after the first 100 miles you are traveling 215 miles in 3 days how much will your

hichkok12 [17]

Answer: His total rental cost will be $164.75.

Step-by-step explanation:

Since we have given that

Cost of per day = $30

Cost of per mile after the first 100 miles = $0.65

According to question, he was travelling 215 miles in 3 days.

So, it becomes,

$30\times 3+0.65\times (215-100)\\\\=90+0.65\times 115\\\\=90+47.75\\\\=\$164.75$

Hence, his total rental cost will be $164.75.

6 0

3 years ago