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3 years ago

PLEASE ANSWER ASAP !!

Mathematics

2 answers:

sveticcg [70]3 years ago

7 0

I am pretty sure it is 2

matrenka [14]3 years ago

6 0

Answer: I think 2 I am not sure

Step-by-step explanation:

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Triangle X Y Z is shown. Angle X Z Y is a right angle. The length of Z X is b, the length of Z Y is a, and the length of hypoten

valina [46]

Answer:

a is adjacent, b is opposite, c is the hypotenuse

Step-by-step explanation:

see the attached figure to better understand the problem

In the right triangle XYZ we have

The side a and side b are the legs and the side c is the hypotenuse (the greater side)

The side a is the adjacent side to angle Y and is the opposite side to angle X

The side b is the opposite side to angle Y and is the adjacent side to angle X

The side c is the hypotenuse

The sum of the angles X and Y is equal to 90 degrees because are complementary angles

therefore

a is adjacent, b is opposite, c is the hypotenuse

3 0

3 years ago

Read 2 more answers

Given that x is a number there is not negative Kelvin conjectured that x(to the 2nd power) > x+1

Sav [38]

The way this is written, you cannot use -1/2 or -2. Is that correct? Both of them are minus. So the only things you have going for you is 0 and 5

x^2 > x + 1 when x = 5

5^2 > 5 + 1 and his conjecture is true.

25 > 6

==============

What about 0?

0^2 = 0 so

0 > 0 + 1 and the conjecture is false.

4 0

4 years ago

Read 2 more answers

2. Two rectangular fields with identical shapes and areas are to be fenced side by side. The total area enclosed is 8mi^2 and th

CaHeK987 [17]

Step-by-step explanation:

Let length is x and breadth is y.

The formula for the area and the perimeter of a rectangle is given by :

A = xy

P = 2(x+y)

Here, A = 8 mi² and P = 16 miles

Putting all the values,

xy = 8

y=8/x ......(1)

2(x+y) = 16

x+y = 8 .....(2)

Put equation (2) in equation (1) as follows :

$x+\dfrac{8}{x}=8\\\\x^2+8=8x\\\\x^2-8x+8=0$

When we solve, we get :

x = 6.82 miles, 1.17 miles

Put the value of x in equation (1)

When x = 6.82 miles,

y = 8/6.82

y = 1.17 miles

When x = 1.17 miles,

y = 8/1.17

y = 6.82 miles

Hence, the dimension of the field is 6.82 miles and 1.17 miles.

8 0

3 years ago

Determine the transformation given the preimage ΔABC where A(1, 0), B(6,−7), and C(0,−4) and the image of ΔA′B′C′ where A′(0,−1)

Kazeer [188]

Answer:

rotation of 270°

Step-by-step explanation:

Consider the coordinates of of preimage and image of ABC

A(1, 0 ) → A'*0, - 1 )

B(6, - 7 ) → B'(- 7, - 6 )

C(0, - 4 ) C'(- 4, 0 )

What we note is the x- coordinate of the image is the y- coordinate of the preimage and the y- coordinate of the image is the negative of the x- coordinate of the preimage, that is

(x, y ) → (y, - x )

This is equivalent to a counterclockwise rotation about the origin of 270°

7 0

3 years ago

Assume that you plan to use a significance level of α = 0.05 to test the claim that p1 = p2. Use the given sample sizes and numb

dezoksy [38]

Answer:

The calculated value Z = 3.775 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

The Two Population proportion are not equal

Step-by-step explanation:

Given first sample size n₁ = 677

First sample proportion

$p^{-} _{1} = \frac{x_{1} }{n_{1} } = \frac{172}{677} = 0.254$

Given second sample size n₂ = 3377

second sample proportion

$p^{-} _{2} = \frac{x_{2} }{n_{2} } = \frac{654}{3377} = 0.1936$

Null Hypothesis : H₀ : p₁ = p₂.

Alternative Hypothesis : H₁ : p₁ ≠ p₂.

Test statistic

$Z = \frac{p_{1} ^{-}-p^{-} _{2} }{\sqrt{P Q(\frac{1}{n_{1} } +\frac{1}{n_{2} }) } }$

where

$P = \frac{n_{1} p_{1} + n_{2} p_{2} }{n_{1}+n_{2} } = \frac{677 X 0.254+3377 X 0.1936}{677+3377}$

P = 0.2036

Q = 1 - P = 1 - 0.2036 = 0.7964

$Z = \frac{0.254- 0.1936 }{\sqrt{0.2036 X 0.7964(\frac{1}{677 } +\frac{1}{3377 }) } }$

Z = 3.775

Critical value ∝=0.05

Z- value = 1.96

The calculated value Z = 3.775 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

The Two Population proportion are not equal

3 0

3 years ago