HELP ME OUT GUYS!!! Question is in the screenshot below.

Answer:

The triangle EFG can be constructed with the following specifications: [tex]EF = 8\,cm[/tex], [tex]FG = 7\,cm[/tex], [tex]EG = 12\,cm[/tex], [tex]E \approx 34.093^{\circ}[/tex], [tex]F \approx 106.068^{\circ}[/tex], [tex]G \approx 39.838^{\circ}[/tex].

Step-by-step explanation:

A triangle is formed by either knowing the lengths of its three sides or knowing two angles and the length of a side or knowing a angle and the lengths of two sides. By Geometry, we know that sum of internal angles in triangles equals 180°. In order to construct this triangle, we need to know the measures of angles E, F and G by means of the Law of Cosine:

Angle E

[tex]E = \cos^{-1}\left[\frac{(7\,cm)^{2}-(12\,cm)^{2}-(8\,cm)^{2}}{-2\cdot (12\,cm)\cdot (8\,cm)} \right][/tex]

[tex]E \approx 34.093^{\circ}[/tex]

Angle F

[tex]F = \cos^{-1}\left[\frac{(12\,cm)^{2} - (8\,cm)^{2} - (7\,cm)^{2}}{-2\cdot (8\,cm)\cdot (7\,cm)} \right][/tex]

[tex]F \approx 106.068^{\circ}[/tex]

Angle G

[tex]G = \cos^{-1}\left[\frac{(8\,cm)^{2}-(12\,cm)^{2}-(7\,cm)^{2}}{-2\cdot (12\,cm)\cdot (7\,cm)} \right][/tex]

[tex]G \approx 39.838^{\circ}[/tex]

The triangle EFG can be constructed with the following specifications: [tex]EF = 8\,cm[/tex], [tex]FG = 7\,cm[/tex], [tex]EG = 12\,cm[/tex], [tex]E \approx 34.093^{\circ}[/tex], [tex]F \approx 106.068^{\circ}[/tex], [tex]G \approx 39.838^{\circ}[/tex].

Answer:

2x18=36

im not sure if that's what you meant but i can answer again if you want

Step-by-step explanation:

Answer:

sin ( 330 )

 csc  ( 60 )

cos  ( 390 )

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

i have explained through pictures

Answer:

x=4000

Step-by-step explanation:

Answer:

4,000 = x

Step-by-step explanation:

40,000 = 10x

=> Divide 10 to each side of "="

40,000/10 = x

4,000 = x

Hope this helps!

Answer:

Option 4

Step-by-step explanation:

The circle is filled so it must be either :less then or equal to: or :greater then or equal to: and since it is going to the left that means it is on the less then or equal to.

Answer:

option 4

Step-by-step explanation:

the circle is filled so it can be equal

it shows n is everything lower then -1 so

n<=-1

Answer:

However, if you're trying to find the arc length of a partial circle, it's not the same as the circumference of the same circle wholly. You need to find out the circumference of the whole circle first before you can find the arc length (or the circumference of the partial circle).

Step-by-step explanation:

Answer:

9.42 units

Step-by-step explanation:

Answer:

The answer should be C

Step-by-step explanation:

I just got done calculating it and according to my calculations it should be C

Answer:

V=  480.7 m cubed

The volume of the cylinder nearest to tenths place is 480 m^3.

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface.

For the given situation,

The formula for volume of the cylinder is [tex]V=\pi r^{2} h[/tex]

Radius of the cylinder,r = 3 m

Height of the cylinder, h = 17 m

The value of π = 3.14

On substituting the above values,

[tex]V=(3.14) (3^{2})(17)[/tex]

⇒ [tex]V=480.42[/tex] ≈ 480

Hence we can conclude that the volume of the cylinder is 480 m^3.

Learn more about volume of cylinders here

https://brainly.com/question/15891031

#SPJ2

Answer:

[tex]distance = \sqrt{(x_{1} -x_{2})^2+(y_{1} -y_{2})^2 }[/tex]

             [tex]=\sqrt{(1-4)^2+(0-3)^2 } \\=\sqrt{3^2 + 3^2}\\=\sqrt{18}\\=3\sqrt{2}[/tex]

Answer:

3√2

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(0 - 3)² + (1 - 4)²

√(-3)² + (-3)²

√(9) + (9)

√18

3√2

Answer:

D

Step-by-step explanation:

SPONGEBOB!!

ANSWER:

GRAPH A: Equation 4

GRAPH B: Equation 3

GRAPH C: Equation 2

GRAPH D: Equation 1

Step-by-step explanation:

12*4 - 2*2

48 - 4

44 ft of carpet.

Answer:

a

Step-by-step explanation:

Answer:

1.73 units

Step-by-step explanation:

The area of a triangle with sides a, b, c and angles A, B, C is given as

Area = 1/2 bc sin A

Given that b=4, c=1, A=120° for a triangle with sides a, b, c and angles A, B, C then the area

= 1/2 * 4 * 1 * sin 120

= 2 sin 120

= 2 * √3/2

= √3

= 1.732

To the nearest hundredth = 1.73

Answer:

BC

Step-by-step explanation:

it would be BC because you are basically taking the angle and drawing an arrow to the opposite side. another trick would be choosing an answer choice without the letter in it. also you didn't put what shape so I assumed it was a triangle

Answer:

see, to find the next number, you need to add three to the last one

for example, the 3 was added to 2, so we have five here

5+3=8

8+3=11

and ....

so the next ten numbers are:

8, 11, 14, 17,20,23,26,29,32,35

I'm sorry, my mother tongue isn't English so please accept my apology if I haven't been able to explain it clearly, it's a pretty easy math problem so I think you got it

Answer:

it's +3 each time

Step-by-step explanation:

the formula for the nth term of an arithmetic progression is

[tex]a _{n} = d \times n + a _{1} - d[/tex]

Answer:

50

Step-by-step explanation:

In a right angled triangle :

Ratio of the leg Adjacent an angle to the hypotenus can be obtained using the Cosine trigonometric ratio

For an angle of 23° and and adjacent leg of 46

Cos 23 = adjacent / hypotenus

Adjacent / hypotenus = 0.92

46 / hypotenus = 0.92

Hypotenus = 46 / 0.92

Hypotenus = 50

Answer: (a)

Step-by-step explanation:

Given

Equation is

[tex]k=\dfrac{7}{\frac{1}{3}}[/tex]

Write the cross-multiplication of the given equation i.e.

[tex]\Rightarrow \dfrac{1}{3}\times k=7[/tex]

This corresponds to the option (a).

Answer:

C

Step-by-step explanation:

ITS C BECAUSE I WASTED A MISTAKE BC OF THE OTHER GUY ON TOP

DONT USE HIS

JUST USE MINE

DONT NEED AN EXPLANATION NOOOOB

Answer:

x ≈ 11.89

Step-by-step explanation:

Using the cosine rule

x² = 4² + 9² - ( 2 × 4 × 9 × cos128° )

    = 16 + 81 - 72cos128°

     = 97 - (- 44.33 )

      = 141.33 ( take the square root of both sides )

x = [tex]\sqrt{141.33}[/tex] ≈ 11.89 ( to 2 dec. places )

Answer:

x>3

Step-by-step explanation:

you would subtract 5x from 2x and get -3x+10 < 1

then subtract 10 from 1 and get -9 so

-3x<-9 then divide and flip sign x>3 hope this helps

Answer:

x>3

Step-by-step explanation:

1.subtract both sides

2x+10 -5 < 5x+1 -5

-3x+10<1

2.subtract 10 from both sides

-3x+10 -10 < 1 -10

-3x<-9

3.divide both sides with number including x

-3x < -9

-3      -3

= x > 3

---l----l-----l----O---l-----l-----l-->

 0    1     2    3    4     5    6

Answer:

The answer is 5

hope it helps

Answer:

n = 5 units

Step-by-step explanation:

We can solve this using 2 different equations which lead to the same answer:

Equation #1: Sin(30) = n/10

=>Sin(30) * 10 = n

=> 5 = n

Equation #2: Cos(60) = n/10

=> Cos(60) * 10 = n

=> 5 = n

If a number is a whole number, it is in it's simplest radical form, therefore;    n = 5 units is the correct answer

Hope this helps!

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Explanation:

For this answer choice, we have p = 43, q = 133, and r = 89. Note how p+r = 43+89 = 132, which is not larger than the third remaining side q = 133. Therefore, p+r > q is false and a triangle cannot be formed.

A triangle is only possible if and only if adding any two sides leads to a sum larger than the third side (triangle inequality theorem).

Put another way, we must have these three conditions hold true for a triangle to form:

If any of those three are false, then we cannot make a triangle with side lengths p,q,r

-----------------

Let's go over choice C for an example in which we can form a triangle

p = 5, q = 6, r = 7

We can see that,

All three conditions are true, and therefore we have a triangle that is possible with side lengths p = 5, q = 6, r = 7. I recommend cutting out slips of paper with these lengths to try it out yourself, so you have a real world example to play with. Choices A and D are a similar story to choice C, so we can rule out all three of these choices.

Answer:

Solution given;

area of semi circle=½πr²=1/2×3.14×4²=25.12in²

area of rectangle ABCD=l×b=8×13=104in²

area of rectangle CEFI=l×b=3×6=18in²

Total area =25.12+104+18=147.12in²

Area of circle

Area of centre rectangle

Area of right rectangle

Total