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3 years ago

A ladder is leaning against a house at an angle of 38,What is the measure of the angel ,x, between the ladder and the ground

Mathematics

1 answer:

ruslelena [56]3 years ago

5 0

Answer:

52°

Step-by-step explanation:

The measure of angle between the ladder and the ground is given as:

Sum of angles in a triangle

38° + x° + 90° = 180

128°+X° = 180°

X° = 180-128

X= 52°

Hence the angle x = 52°

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Express p in terms of q if

Irina-Kira [14]

$p=x^2+\dfrac{1}{x^2}\\\\p=\dfrac{x^4}{x^2}+\dfrac{1}{x^2}\\\\p=\dfrac{x^4+1}{x^2}\qquad(*)$

$q=x+\dfrac{1}{x}\\\\q=\dfrac{x^2}{x}+\dfrac{1}{x}\\\\q=\dfrac{x^2+1}{x}\qquad\text{square both sides}\\\\q^2=\left(\dfrac{x^2+1}{x}\right)^2\\\\q^2=\dfrac{(x^2+1)^2}{x^2}\qquad\text{use}\ \ (a+b)^2=a^2+2ab+b^2\\\\q^2=\dfrac{(x^2)^2+2(x^2)(1)+1^2}{x^2}\\\\q^2=\dfrac{x^4+2x^2+1}{x^2}\\\\q^2=\dfrac{x^4+1}{x^2}+\dfrac{2x^2}{x^2}\\\\q^2=\dfrac{x^4+1}{x^2}+2\qquad\text{subtract 2 from both sides}\\\\q^2-2=\dfrac{x^4+1}{x^2}\\\\\text{From (*) we have}\\\\\boxed{p=q^2-2}$

8 0

2 years ago

When two numbers are multiplied together, the result is 128.

fomenos

Answer:

32 and 4

Step-by-step explanation:

128=2^7

(8xa)xb=128

axb=2^4=16

(8x4)x4=128

3 0

2 years ago

What is the area of 10 cm 3 cm 7 cm 18 cm

Nesterboy [21]

Answer: 10 times 3 equals 30 and 7 times 18 equals 126. 126 plus 30 is 156 is the answer

Step-by-step explanation:math

8 0

2 years ago

Please answer both thank you

jeyben [28]

Answer:

Solution given;

male=15

female=27

1st term=5*3

2nd term=3*3*3

now

Highest common factor=3

The maximum number of groups that the teacher can make is 3.

and each team contains 5 male and 9 female.

7 0

3 years ago

Ganezh [65]

Answer:

B) No, they are not congruent.

Step-by-step explanation:

8 0

3 years ago