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PIT_PIT [208]
3 years ago
7

Find the missing side to the triangle in the attached image.

Mathematics
2 answers:
kari74 [83]3 years ago
8 0

Answer:

x=34

Step-by-step explanation:

1. formula for Pythagorean Theorem for right trangles is <u>a^2+b^2=c^2</u>

2. a=30 and b=16, so (30)^2+(16)^2=c^2

3. (30)^2=900 and (16)^2=256

4. 900+256=1156

5. 1156=c^2

6. \sqrt{1156} =\sqrt{c^2}

7. the square root of 1156 is 34, so c=34

8. The missing side of the triangle, labeled as "x<em>"</em> is 34

Arte-miy333 [17]3 years ago
5 0

Answer:

Step-by-step explanation:

1. formula for Pythagorean Theorem for right trangles is a^2+b^2=c^2

2. a=30 and b=16, so (30)^2+(16)^2=c^2

3. (30)^2=900 and (16)^2=256

4. 900+256=1156

5. 1156=c^2

6.  

7. the square root of 1156 is 34, so c=34

8. The missing side of the triangle, labeled as "x" is 34

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Part 2
ahrayia [7]

Answer:

B. 236.3

Step-by-step explanation:

Population density can be found by dividing the number of people by the area of the land.

number of people / land area

The population is 20,510 people and the area is 86.8 square miles.

20,510 people / 86.8 square miles

Divide 20,510 by 86.8

236.290323 people /square mile

Round to the nearest tenth. The 9 in the hundredth place tell us to round the 2 to a 3 in the tenth place.

236.3 people/ square mile

There are 236.3 people per square mile and B is correct.

6 0
3 years ago
Write the monomial in standard form. name it's coefficient and identify its degree.
Hunter-Best [27]

Answer:

Standard\ Form = {3n^2} m^{-2}

Step-by-step explanation:

Given

\frac{2}{3m^2n} * 4.5n^3

Required

Write in Standard Form

To start with; the two monomials have to be multiplied together;

\frac{2}{3m^2n} * 4.5n^3

Standard\ Form = \frac{2 * 4.5n^3}{3m^2n}

Split the numerator and the denominator

Standard\ Form = \frac{2 * 4.5 * n^3}{3 * m^2 * n}

Multiply Like terms

Standard\ Form = \frac{9 * n^3}{3 * m^2 * n}

Divide 9 by 3 to give 3

Standard\ Form = \frac{3 * n^3}{m^2 * n}

Divide n³ by n to n²

Standard\ Form = \frac{3 * n^2}{m^2 }

Split fraction

Standard\ Form = {3 * n^2} * \frac{1}{m^2 }

From laws of indices;

\frac{1}{a^n} = a^{-n}

Standard\ Form = {3 * n^2} * \frac{1}{m^2 } becomes

Standard\ Form = {3 * n^2} * m^{-2}

Multiply all together

Standard\ Form = {3n^2} m^{-2}

5 0
3 years ago
Jan needed to empty 18 gallons of water from a tub into jugs that hold 0.5 gallons of water. How many jugs did Jan need?
julsineya [31]
The answer would be 36 jugs 
5 0
3 years ago
Read 2 more answers
F(3)= 5x^2 - 4x + 9<br> evaluate this quadratic function
Neporo4naja [7]

Answer:

f(3) = 38

Step-by-step explanation:

Given the quadratic function

f\left(x\right)=\:5x^2\:-\:4x\:+\:9

Evaluating the quadratic function

f\left(x\right)=\:5x^2\:-\:4x\:+\:9

substitute x = 3

f\left(3\right)=\:5\left(3\right)^2\:-\:4\left(4\right)\:+\:9

f(3) = 45-16+9

f(3) = 38

Therefore,

  • f(3) = 38
6 0
2 years ago
For triangle S F C, angle S is 90 degrees, angle F is 49 degrees, and angle C is 41 degrees. For triangle Z P K, angle Z is 41 d
leva [86]

Answer:

I'm pretty sure he or she are right^^idk

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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