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german
3 years ago
8

Find the missing side

Mathematics
1 answer:
pychu [463]3 years ago
3 0

Answer:

20

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2, where a and b are the sides and c is the hypotenuse

15^2 + b^2 = 25^2

225 + b^2 = 625

b^2 = 625 -225

b^2 =400

Take the square root of each side

sqrt(b^2) = sqrt(400)

b = 20

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Solve this equation for x. Round your answer to<br>the nearest hundredth.<br>7 = In(x + 5)<br>​
oksian1 [2.3K]

Answer:

x ≈ 1091.63

Step-by-step explanation:

Using the rule of logarithms

log_{b} x = n ⇔ x = b^{n}

note that ln x is to the base e

Given

ln(x + 5) = 7, then

x + 5 = e^{7} ( subtract 5 from both sides )

x = e^{7} - 5 ≈ 1091.63 ( nearest hundredth )

3 0
3 years ago
Help! graph Y - 2 = -3/4 (X-6). please use the graph I provided
Fiesta28 [93]

A graph of this equation y - 2 = -3/4(x - 6) is shown in the image attached below.

<h3>What is a graph?</h3>

A graph can be defined as a type of chart that is typically used for the graphical representation of data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate.

Next, we would rearrange and simplify the given given equation in slope-intercept form in order to enable us plot it on a graph:

y - 2 = -3/4(x - 6)

Opening the bracket, we have:

y - 2 = -3x/4 + 18/4

y = -3x/4 + 18/4 + 2

y = -3x/4 - 26/4

y = -3x/4 - 13/2

Therefore, the slope is equal to -3/4 and the y-intercept is equal to -13/2.

In conclusion, we can logically deduce that the graph representing the given linear equation does not show a proportional relationship between the value of x and y.

Read more on graphs here: brainly.com/question/4546414

#SPJ1

3 0
1 year ago
Chiletso just got a new cylindrical fish tank, which he plans to stock with a variety of african cichlids.
Anit [1.1K]

The maximum number of African cichlids which can put by Chiletso  in this cylindrical fish tank is 19.

<h3>What is of volume of cylinder?</h3>

Volume of cylinder is the amount of quantity, which is obtained by it in the 3 dimensional space.

The volume of the cylinder can be given as,

V=(πd^2h)4

Here, (d) is the diameter of the base of the cylinder and (h) is the height of the cylinder.

The height of tank is 30 inches and the length of the diameter of the base is 27.5 inches. Thus, the volume of it is,

V=[π(27.5)²(30)] /4

V=17818.72 cubic inches.

One us gallon is equal to approximately 231 cubic inches. Thus, the volume in gallon is,

V=17818.72/231

V=77.12 gallons.

A good rule of thumb is to have about 3 inches of fish per 2 gallons of water. The number of 6 inches cichlids the can put in 77.12 gallons tank is,

V=(77.12 x 3)/(6 x 2)

V=19.28

Thus, the maximum number of African cichlids which can put by Chiletso  in this cylindrical fish tank is 19.

Learn more about the volume of cylinder here;

brainly.com/question/12748872

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5 0
2 years ago
How many seconds are in 240 minutes?
Anton [14]

 

1 minute  = 60 seconds

240 minute  = 240 × 60 = 14400 seconds

<h2><u>240 minute  = 14400 seconds</u></h2><h2><u></u></h2><h2><u></u></h2>
6 0
3 years ago
Read 2 more answers
The number 12,089 is?
Ratling [72]
12,089 is less than 12,098
The first choice is the correct one.
8 0
4 years ago
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