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3 years ago

First correct answer gets brainlist for all 3 blanks list as the following

Mathematics

1 answer:

fomenos3 years ago

7 0

Answer:

Blank 1: yes

Blank 2: 1.6

Blank 3: 8/5

Step-by-step explanation:

To see if the rectangles are similar compare the ratios of the sides.

16.4/10.25 = 1.6

10.8/6.75 = 1.6

The ratios are the same so the rectangles are similar.

1.6 = 16/10 = 8/5

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F(x) = 5x^3 – 4x - 12

erik [133]

Answer: -12

Step-by-step explanation:

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3 years ago

Side AB of triangle ABC lies on line k. The equation of line k is y = -2/5x + 8. The coordinates of C are (-10, 15)

Ivan

Answer:

True

Step-by-step explanation:

8 0

2 years ago

1.) Meaghan is thinking of a mystery number. She cuts it in half then adds 5 the result is 24 determine the mystery number

Igoryamba

The answer to number 1 is subtract 5 from 24 to get 19, then multiply 19 by 2 to get 38 as your final answer. I hope this helps!

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3 years ago

In a murder investigation, the temperature of a corpse was 32.5 degrees C at 1:30 pm and 30.3 degrees C an hour later. Normal bo

svp [43]

Let $T(t)$ be the temperature of the body $t$ hours after 1:30 PM. Then $T(0) = 32.5$ and $T(1) = 30.3$ .

Using Newton's Law of Cooling, $\dfrac{dT}{dt} = k(T - T_s)$ , we have $\dfrac{dT}{dt} = k(T-20)$ . Now let $y = T - 20$ , so
$y(0) = T(0) - 20 = 32.5 - 20 = 12.5$ , so $y$ is a solution to the initial value problem $dy/dt = ky$ with $y(0) = 12.5$ .
By separating and integrating, we have $y(t) = y(0)e^{kt} = 12.5e^{kt}$ .

$y(1) = 30.3 - 20\ \Rightarrow\ 12.5e^{k(1)} = e^{k} = \frac{10.3}{12.5}\ \Rightarrow \\
k = \ln \frac{10.3}{12.5}
$

$y(t) = 37 - 20\ \Rightarrow\ 12.5e^{kt} = 17\ \Rightarrow\ e^{kt} = \frac{10.3}{12.5} \ \Rightarrow \\ \\
kt = \ln \frac{10.3}{12.5}\ \Rightarrow\ t = \left( \ln \frac{17}{12.5} \right)/ \frac{10.3}{12.5} \approx -1.588 \mathrm{\ h}$

≈ 95 minutes. Thus the murder took place about 95 minutes before 1:30 PM, or 11:55 AM.

6 0

3 years ago

Relationship between the sines and cosines of complementary angles

SVEN [57.7K]

The trigonometric ratios have been determined and the angles T and U are complementary.

<h3>What are Trigonometric Ratios?</h3>

Trigonometric Ratios are ratios of the side of a right-angled triangle. These are used to find the missing sides and angles of a right-angled triangle.

A right-angled triangle is a triangle with a measure of one of the angles as 90 degrees.

The triangle TUV is a right-angled triangle, the sides of the triangle are t, u, and v.

Part 1:

The angle T is not equal to angle U.

But by the angle sum property,

T + U + V = 180

T + U = 90

Both the angles are complementary.

Part 2:

The trigonometric ratios are as follows:

sin T = t/v

cos T = u/v

sin U = u/v

cos U = t/v

Part 3:

From the data in part 2,

Options C and D are the correct statements.

sin T = cos U

cos T = sin U

Part 4:

sin 37 = cos ( 90-37)

sin 37 = cos 53

To know more about Trigonometric Ratios

brainly.com/question/1201366

#SPJ1

7 0

1 year ago