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3 years ago

What is the approximate value of x in the diagram below

Mathematics

1 answer:

Anon25 [30]3 years ago

5 0

Answer:

x = 8 cm

Step-by-step explanation:

The first step in solving this problem is to determine which trig function applies. The diagram shows that this triangle is a right triangle, that side x is opposite the 25-degree angle, and that the hypotenuse has a length of 18 cm.

The sine function of an angle Ф is defined as the ratio of the opposite side to the hypotenuse. In this case, sin Ф (or sin 25 degrees) equals x/(18 cm).

We need to determine the value of x. Adapt the above equation to this particular situation: sin 25 degrees = x/(18 cm).

To solve for x, multiply both sides of the most recent equation, above, by (18 cm). The following results: (18 cm)(sin 25 degrees) = x.

Next, use a calculator to find the value of sin 25 degrees: It is 0.4226.

Then the desired value of x is (18 cm)(0.4226), or x = 7.61 cm. This should be rounded off to x = 8 cm to reflect the level of accuracy of the given 18 cm.

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A model of a soccer ball is made up of regular pentagons and hexagons.

Monica [59]

An apothem is a line from the center of a regular polygon at right angles to any of its sides.

For part A,

We want to find area of pentagon (5 sided figure) given apothem is 1.38 in and side length as 2 inch.

If we look at the picture shown (attached), we can see that a triangle is formed. What is the area of this triangle?

$A=0.5bh\\A=0.5(1)(1.38)\\A=0.69$ square inches

How many such triangles are there in a pentagon? 10. So we multiply 0.69 by 10 to get total area of pentagon.

Area of Pentagon = $0.69*10=6.9$ square inches.

For part B,

We want to find area of hexagon (6 sided figure) given apothem is 1.73 in and side length as 2 inch.

If we look at the picture shown (attached), we can see that a triangle is formed. What is the area of this triangle?

$A=0.5bh\\A=0.5(1)(1.73)\\A=0.865$ square inches

How many such triangles are there in a hexagon? 12. So we multiply 0.865 by 12 to get total area of hexagon.

Area of Hexagon = $0.865*12=10.4$ square inches.

ANSWER:

Area of Pentagon is 6.9 square inches.

Area of Hexagon is 10.4 square inches.

5 0

2 years ago

Find 5x − 3y − z if x = −2, y = 2, and z = −3 −19 19 13 −13

Blababa [14]

5x - 3y - z
By hypothesis, x = -2, y = 2 and z = -3.

So you all need to do is replace each letter by its value and do the calculus:

5x - 3y - z = 5*(-2) - 3(2) - (-3)
= -10 - 6 + 3=
=-16 + 3
= -13

So when x = -2, y = 2 and z = -3
5x - 3y - z = -13 (answer d)

Hope this helps! :)

8 0

3 years ago

A number increased by twelve

Anarel [89]

Answer:

X+12

Step-by-step explanation:

"Increased by" means addition.

3 0

3 years ago

Read 2 more answers

I need a answer asap Please!!

Ganezh [65]

Answer:

The ordered pairs (3 , 6) , (5 , 10) show a proportional relationship ⇒ last answer

Step-by-step explanation:

* Lets explain how to sole the problem

- Proportional relationship describes a simple relation between

two variables

- In direct proportion if one variable increases, then the other variable

increases and if one variable decreases, then the other variable

decreases

- In inverse proportion if one variable increases, then the other variable

decreases and if one variable decreases, then the other variable

increases

- The ratio between the two variables is always constant

- Ex: If x and y are in direct proportion, then x = ky, where k

is constant

If x and y in inverse proportion, then x = k/y, where k is constant

* Lets solve the problem

# Last table

∵ x = 3 and y = 6

∴ x/y = 3/6 = 1/2

∵ x = 5 and y = 10

∴ x/y = 5/10 = 1/2

∵ 1/2 is constant

∵ x/y = constant

∴ x and y are proportion

* The ordered pairs (3 , 6) , (5 , 10) show a proportional relationship

7 0

2 years ago

Write the if/else statement as the conditional expression that performs the same option result = x < y ? x * 5 : a b;

Semenov [28]

The conditional statement is

if x < y:

result = x * 5

<h3>How to write the if/else statement as the conditional expression that performs the same option?</h3>

The statement is given as:

result = x < y ? x * 5

The above means that,

the variable result is assigned x * 5 if x < y

So, the conditional statement is

if x < y:

result = x * 5

Read more about conditional statement at

brainly.com/question/11073037

#SPJ4

8 0

1 year ago