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2 years ago

Can you conclude that the triangles are similar?

Mathematics

1 answer:

slega [8]2 years ago

3 0

No, because the size of their respective dimensions are not proportional

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Find the value of y for the given value of x. Round to the nearest hundredth. y = 15 + 3 ln x; x = 7.2

Nikolay [14]

Answer:

y = 20.922

Step-by-step explanation:

Simply plug in x and evaluate:

y = 15 + 3ln(7.2)

Only way to calculate ln is to plug into a calc:

We should get 20.9222 as our answer.

7 0

3 years ago

A line on a graph shows a proportional relationship between the hours worked, x, and the total pay y. Two points on the graph ar

Westkost [7]

$19.50 per hour,$29.25 per hour

6 0

2 years ago

Read 2 more answers

You roll a 4-sided die repeatedly. On your odd-numbered rolls (1st,3rd,5th, etc.) you are victorious if you get a 4. On your eve

Sunny_sXe [5.5K]

Answer:

E (Y) = 3

Step-by-step explanation:

If a 4-sided die is being rolled repeatedly; and the odd-numbered rolls (1st 3rd,5th, etc.)

The probability of odd number roll will be, p(T) = $\frac{1}{2}$

However, on your even-numbered rolls, you are victorious if you get a 3 or 4. Also, the probability of even number roll, p(U) = $\frac{1}{2}$

In order to calculate: E (Y); We can say Y to be the number of times you roll.

We know that;

E (Y) = E ( Y|T ) p(T) + E ( Y|U ) p(U)

Let us calculate E ( Y|T ) and E ( Y|U )

Y|T ≅ geometric = $\frac{1}{4}$

Y|U ≅ geometric = $\frac{1}{2}$

also; x ≅ geometric (p)

∴ E (x) = $\frac{1}{p}$

⇒ $\frac{Y}{T}$ = 4 ; also $\frac{Y}{U}$ = 2

E (Y) = 4 × $\frac{1}{2}$ + 2 ×

= 2+1

E (Y) = 3

7 0

2 years ago

What is the exact area of a circle with a diameter of 18 feet

marin [14]

A = π r^2
A = 9^2 π
A = 81π

if using π = 3.14 then

A = 3.14 x 81 = 254.47 ft^2

answer: 81π ft^2 or 254.47 ft^2

hope that helps

6 0

2 years ago

What is the value of c such that the line y=2x+3 is tangent to the parabola y=cx^2

satela [25.4K]

The value of $c$ such that the line $y = 2\cdot x + 3$ is tangent to the parabola $y = c\cdot x^{2}$ is $-\frac{1}{3}$ .

If $y = 2\cdot x + 3$ is a line tangent to the parabola $y = c\cdot x^{2}$ , then we must observe the following condition, that is, the slope of the line is equal to the first derivative of the parabola:

$2\cdot c \cdot x = 2$ (1)

Then, we have the following system of equations:

$y = 2\cdot x + 3$ (1)

$y = c\cdot x^{2}$ (2)

$c\cdot x = 1$ (3)

Whose solution is shown below:

By (3):

$c =\frac{1}{x}$

(3) in (2):

$y = x$ (4)

(4) in (1):

$y = -3$

$x = -3$

$c = -\frac{1}{3}$

The value of $c$ such that the line $y = 2\cdot x + 3$ is tangent to the parabola $y = c\cdot x^{2}$ is $-\frac{1}{3}$ .

We kindly invite to check this question on tangent lines: brainly.com/question/13424370

3 0

2 years ago