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3 years ago

Please help me now I really need it and marking the smartest answer

Mathematics

1 answer:

saw5 [17]3 years ago

7 0

Answer:

the answer should be .475 meters

Step-by-step explanation:

an easy way to figure this out is by moving the decimal to the left as many zeroes as there are.

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HELP PLEASE!!<br> Finding the missing parts of a triangle.

sleet_krkn [62]

Step-by-step explanation:

Before we proceed, we must understand that we are dealing with a system of right angled triangles.

There are two types of right angle triangles';

45° - 45° - 90° 30° - 60° - 90°

In 45° - 45° - 90°, the adjacent is equal to the opposite

30° - 60° - 90°, there are three different sides

The longest side faces 90°, the shortest side will face the smallest angle and the intermediate will face 60°

To find AB, use Pythagoras theorem;

AB² = AC² + BC²

AB² = 13² + 4²

AB² = 169 + 16 = 185

AB = √185 = 13.6

AB = 13.6

Angle A = 30°

Angle B = 60°

AB² = BC² + AC²

The unknown is AC;

AC² = AB² - BC²

AC² = 5² - 4²

AC² = 9

AC = √9 = 3

Angle A = 60°

Angle B = 30°

AB² = AC² + BC²

Insert the parameters and find AC;

AC² = AB² - BC²

AC² = 11² - 4.4²

AC² = 101.64

AC = √101.64

AC = 10.1

Angle A = 30°

Angle B = 60°

AC = 13

5 0

3 years ago

A single card is drawn from a deck. Find the probability of selecting

shepuryov [24]

Answer:

A. 1/2.

B. 15/26.

Step-by-step explanation:

Note when you have an 'OR' in the statement we <u>add </u>the probabilities.

A . Club or a diamond . There are 13 clubs and 13 diamonds so

The Required Probability = 13/52 + 13/52

= 1/4 + 1/4 = 1/2.

B. There are 4 jacks and 26 black cards.

The Required Probability = 4/52 + 26/52

= 1/13 + 1/2

= 2/26 + 13/26

= 15/26.

5 0

4 years ago

1The volumes of two similar prisms are 972 cm3 and 36 cm3. The surface area of the larger prism is 594 cm2.

diamong [38]

Answer:

Part 1)

The scale factor of the smaller prism to the larger prism is 3

The scale factor of the larger prism to the smaller prism is 1/3

Part 2) The surface area of the smaller prism is 66 square centimeters

Step-by-step explanation:

Part 1) What is the scale factor for the similar figures?

we know that

If two figures are similar, then the ratio of their volumes is equal to the scale factor raised to the cube

Let

z ----> the scale factor

x ---> volume of the larger prism

y ---> volume of the smaller prism

$z^3=\frac{x}{y}$

we have

$x=972\ cm^3\\y=36\ cm^3$

substitute

$z^3=\frac{972}{36}$

Simplify

$z^3=27\\z=3$

therefore

The scale factor of the smaller prism to the larger prism is 3

The scale factor of the larger prism to the smaller prism is 1/3

Part 2) What is the surface area of the smaller prism?

we know that

If two figures are similar, then the ratio of their surface areas is equal to the scale factor squared

Let

z ----> the scale factor

x ---> surface area of the larger prism

y ---> surface area of the smaller prism

$z^2=\frac{x}{y}$

we have

$x=594\ cm^2$

$z=3$

substitute

$3^2=\frac{594}{y}$

solve for y

$y=\frac{594}{9}=66\ cm^2$

therefore

The surface area of the smaller prism is 66 square centimeters

6 0

3 years ago

n airline knows from experience that the distribution of the number of suitcases that get lost each week on a certain route is a

Sedbober [7]

Answer: 0.8313

Step-by-step explanation:

As per given we have,

$\mu=15.5$ $\sigma= 3.6$

Also, the distribution of the number of suitcases that get lost each week on a certain route is approximately normal.

Since , $z=\dfrac{x-\mu}{\sigma}$

z-score corresponds to x= 10: $z=\dfrac{10-15.5}{3.6}\approx-1.53$

z-score corresponds to x= 20: $z=\dfrac{20-15.5}{3.6}=1.25$

P-value = $P(10$

$=P(z$

Hence, the probability that during a given week the airline will lose between 10 and 20 suitcases = 0.8313

8 0

3 years ago

Find the distance between (-1,-5) and (4,3)

yawa3891 [41]

Answer:

$\sqrt{89}$ = 9.83

Step-by-step explanation:

$\sqrt{89}$

$\sqrt{25 + 64} \\\sqrt{5^2 + 8^2}$

7 0

4 years ago