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Lunna [17]
3 years ago
13

Use Pythagorean Theorem to find the value of x

Mathematics
2 answers:
Ahat [919]3 years ago
5 0

Answer:

x = 13

Step-by-step explanation:

x = \sqrt{x} a^{2} + b^{2}

12^2 + 5^2 = 13

slamgirl [31]3 years ago
3 0

Answer: 13

Step-by-step explanation:

pythagorean theorem: a^2+b^2=c^2

plug in values: 5^2+12^2=c^2

solve:

5^2+12^2=c^2

25+144=c^2

169=c^2

13=c

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True or false: the equation tan^2x+1=sec^2x
zhenek [66]

ANSWER

True

EXPLANATION

The given trigonometric equation is:

{ \tan}^{2} x + 1 = { \sec}^{2} x

We take the LHS and simplify to arrive at the RHS.

{ \tan}^{2} x + 1 =  \frac{{ \sin}^{2} x}{{ \cos}^{2} x}  + 1

Collect LCM on the right hand side to get;

{ \tan}^{2} x + 1 =  \frac{{ \sin}^{2} x + {\cos}^{2} x}{{ \cos}^{2} x}

This implies that

{ \tan}^{2} x + 1 =  \frac{1}{{ \cos}^{2} x} .

{ \tan}^{2} x + 1 =  {( \frac{1}{ \cos(x) }) }^{2}

{ \tan}^{2} x + 1 =  { \sec}^{2} x

This identity has been verified .Therefore the correct answer is true.

3 0
3 years ago
Good Morning/afternoon
mote1985 [20]

Answer:

school is a problem

Step-by-step explanation:

Have a great day!!!

5 0
3 years ago
Read 2 more answers
A small toy company makes only cars and trucks. The profit made on cars is $2 each and the profit made on trucks is $3 each. To
pishuonlain [190]
A toy company needs to profit at least $500 from selling cars and trucks. A car can make a profit $2 while the truck can $3 profit.
let x be the number of cars
let y be the number of truck
If 200 resources for the car per week, we have:
Profit =  $2x + $3y
$500 = $2*200  +  $3*y
$500 - $400 = $3y
100 = 3y
y =100/3 = 33.33

The number of trucks needs to produce per week is at least 34 pieces.
8 0
3 years ago
In a recently administered iq test, the scores were distributed normally, with mean 100 and standard deviation 15. what proporti
iragen [17]

To solve for proportion we make use of the z statistic. The procedure is to solve for the value of the z score and then locate for the proportion using the standard distribution tables. The formula for z score is:

z = (X – μ) / σ

where X is the sample value, μ is the mean value and σ is the standard deviation

 

when X = 70

z1 = (70 – 100) / 15 = -2

Using the standard distribution tables, proportion is P1 = 0.0228

 

when X = 130

z2 = (130 – 100) /15 = 2

Using the standard distribution tables, proportion is P2 = 0.9772

 

Therefore the proportion between X of 70 and 130 is:

P (70<X<130) = P2 – P1

P (70<X<130) = 0.9772 - 0.0228

P (70<X<130) = 0.9544

 

Therefore 0.9544 or 95.44% of the test takers scored between 70 and 130.

6 0
3 years ago
Witch expression is the factorization of x2+10x+21
Alenkasestr [34]

Answer:

x^2 +x(7+3) +21

x^2 +7x + 3x +21

x(x+7) +3(x+7)

(x+7) (x+3)

6 0
3 years ago
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