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2 years ago

HELPPPPPP

Mathematics

2 answers:

fenix001 [56]2 years ago

7 0

the answer is 40 units i hopes this helps

kherson [118]2 years ago

6 0

We are asked to solve the perimeter of the given triangle QSU. To solve this, we need to formulate two equations, please refer to the attached picture.
For triangle SRC, we have it:
(2x)² + r² = h²
For triangle STC, we have it:
(x+3)² + r² = h²
Perform subtraction of two equations:
(2x)² + r² = h²
- ((x+3)² + r² = h²)
---------------------------
(2x)² - (x+3)² = 0
Simplify further the expression such as:
4x² - x² - 6x - 9 =0
3x² - 6x - 9 =0
(3x² - 6x - 9 =0 ) / 3
Performing quadratic equation, then roots are:
x² - 2x - 3 = 0
(x-3) (x + 1) = 0
x1 = 3
x2 = -1 (not possible)
Using x=3, the total perimeter for two sides of the triangle is:
Partial perimeter = 2x + (x+3) + 10 + 4
Partial perimeter = 2*3+ (3+3) + 10 + 4
Partial perimeter = 26 units

Then the answer is 40 units for the total perimeter of the triangle QSU since it is impossible that the last and third side is 4 units, then select 40 units for the total perimeter.

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Semenov [28]

Answer:

$g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}$

Step-by-step explanation:

Given function,

$g(x) = -\frac{2}{3}x-5$

Step 1 : Replace g(x) by y:

$y = -\frac{2}{3}x-5$

Step 2 : Swap x and y:

$x = -\frac{2}{3}y-5$

Step 3 : Solve the equation for y ( isolate y in the left side ):

$x +\frac{2}{3}y=-5$

$\frac{2}{3}y=-5-x$

$y=\frac{3}{2}(-5-x)$

$y=-\frac{15}{2}-\frac{3}{2}x$

$y=-\frac{3}{2}x-\frac{15}{2}$

Step 4: Replace y by $g^{-1}(x)$ :

$g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}$

Hence, the inverse of the function g(x) is $g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}$ .

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3 years ago

Find the critical value necessary to form a confidence interval at the level of confidence shown below.

Rzqust [24]

Answer:

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Step-by-step explanation:

Given the data in the question;

level of confidence = 0.87

now,

1 - c = 0.87

c = 1 - 0.87

c = 0.13

c/2 = 0.13/2 = 0.065

now

1 - c/2 = 1 - 0.065 = 0.935

so our level of significance ∝ = 0.935

Now, the critical value will be;

$Z_{0.935$ is obtained as follows;

P( Z < z ) = 0.935

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Answer:

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