to the nearest whole number how long is the missing side of the triangle? 16cm 20cm and angle 78

Answers

Answer 1

The missing side of the triangle, using Cosine rule, is 23cm long.

How to Apply Cosine rule

To solve for the missing side of the triangle, we can use the Law of Cosines, which states that:

c² = a² + b² - 2ab cos(C)

Where

c is the length of the side opposite to angle C,

a and b are the lengths of the other two sides.

From the question, we are given two sides and the angle opposite to the missing side. Substitute the values and we have:

c² = 16² + 20² - 2(16)(20)cos(78°)

c² = 256 + 400 - 640cos(78°)

c² = 656 - 640cos(78°)

c² = 656 - 133

c =  √523

c = 22.87 cm

Rounded to the nearest whole number, the length of the missing side is 23 cm.

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Related Questions

What is the value of y in the product of powers below? 8^3x8^-5x8^y=8^-2=1/8^2​

Answers

The answer is y=207 hope this helps

A circular mirror has a diameter of 16.5 inches. What is the circumference of the mirror? Round to the nearest hundredth

Answers

Answer:

C≈51.84in

Step-by-step explanation:

C=2πr

d=2r

Solving for C

C= πd= π·16.5≈51.83628in

*URGENT* Would it be better to invest at 6% APR compounded annually or 6% APR compounded
continuously?

Answers

Step-by-step explanation:

step 1. compounded annually gives you interest once a year.

step 2. compounded continuously gives you interest every split second and then gives you interest on interest!

step 3. getting interest on your money continuously is better.

answer my question PLEASE

Answers

Answer:

jahshh83828

Step-by-step explanation:

iwhdbwowhei2kdhe829274

If the radius of the glass container is 2 inches and the height is 3 inches, how much wax will she need to fill the container?

Answers

Answer:

ans is 5 container

Step-by-step explanation:

because 3+2=5

and in my first class is seen the answer

She needs to fill 12 cubic inches of wax in the container.

What is volume?

The volume of a thing is the area that it takes up in three dimensions. Simply put, objects occupy space.

Given, the radius of the glass container is 2 inches and height is 3 inches.

To fill the maximum wax in the glass container,

we will find the volume of glass container.

Volume of glass container

= Volume of cylinder.

=  π r² h

=  π(2)² (3)

=  π 4 x 3

= 12π  cubic inches.

Therefore, 12 cubic inches of wax she needs to fill.

To learn more about the volume;

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Help please and thank you

Answers

Step-by-step explanation:

i think it is the third choice

Please help anyone will give Points

Answers

Answer:

do the base are 3 then times that twice

Step-by-step explanation:

2/8 = x/64

2/8 • 64 = x/64 • 64

128/8 = x

x = 128/8

x = 16

The volume of Figure A is 16 m³.


Hope it helps!

Prove one pair of opposite sides are congruent and parallel

Answers

Answer:

AB PARALLEL TO DC AND AD WITH BC

12.92 divided by 3.4 And if you can put how you solved it that also would be great​

Answers

Answer:

The answer is 3.8

Step-by-step explanation:

Change the divisor 3.4 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.

We then have the equations:

129.2 ÷ 34 = 3.800000

and therefore:

12.92 ÷ 3.4 = 3.800000

Both calculated to 6 decimal places.

( In 3.800000, you can take away the zeros, which will be equal to 3.8 )

I hope this was helpful! :)

Which are perfect cubes? Check all that apply.

64
x16
8x3
27x4
81x6
125x9

and pls tell me how to find a perfect cube i will mark brainlyesr

Answers

Answer:

64x16=1024

8x3=24

27x4=108

81x6=486

125x9=1125

Step-by-step explanation:

Braineist please

Answer:

A=64 C=8x^3 F=125x^9

Step-by-step explanation:

♥☺

For what value of n is 20 = {n+4?
a)
b) *
c) 40
d) 60

Answers

I think it might be 40 I’m not sure but good luck
Answer: N= 16

Explanation: 20-4=16

Find the circumference of the circle use 3.14 for that symbol help ASAP

Answers

Hello
Radius of circle =1.5cm
Therefore the circumference of the circle =2x3.14x15= 9.42cm
The answer is 9.42 cm

Karen is making 14 different kinds of greeting cards. She is making 12 of each kind. How many greeting is she making.

Answers

1?......................

Circle D is shown. Line segment F E goes through point D. Line segment C D is shown. Line segment G H goes from one side of the circle to the other side. Line segment A B is outside of the circle and intersects the circle at point B.
In circle D, which is a secant?

EF
DC
Line segment A B
Line G H

Answers

A secant crosses the circle without passing through the center

The secant line is (c) line segment AB

How to determine the secant line

From the question, we understand that line segment AB passes through the circle, without passing through the center (i.e. point A) of the circle

This indicates that line segment AB is a secant

Given that the center of the circle is point D

Hence, the secant line is (c) line segment AB

Read more about secants at:

https://brainly.com/question/25871159

Answer:

D. Line GH

Step-by-step explanation: I just did it on edge 2023. Hope this helps!

Select whether each system of equations has no solution, one solution, or infinitely many solutions.
No Solution
One Solution
Infinitely Many Solutions
6
0
I + 2y
23 Зу
--
26
42 2y = -6
y = 2.c 4
O
-
.
2.0
y = 4
62 — 3y = 12

Answers

I’m not sure!!!!!!!!!!!!!!!!!!

The sum of five-sixths of f, one-half of p, and 3

Answers

Answer:

The expression would look like this: [tex]\frac{5}{6}f + \frac{1}{2}p + 3[/tex]

A vet weighs 2 puppies. The small puppy weighs 2 1/9 a pound. The bigger puppy weighs 1 2/7 times as much as the small puppy does. How much does the big puppy weigh?

Answers

Answer:

2 5/7

Step-by-step explanation:

In order to solve this problem you must multiply the weight of the original puppy by the 1 2/7 times the second puppy weighs, giving you 2 5/7.

The best way to do this is to turn the mixed numbers into improper fraction, then, multiply straight across and simplify.

The predicted costs of an average electric car and an average gasoline car after 2030, are represented by the following tables:

Answers

Answer:

they are both exponential funtions

Step-by-step explanation:

because i got it wrong and im telling you the answer

Answer: Both exponential

Step-by-step explanation:

Khan Academy- answered before and got it right

please help. i will give brainliest

the question is in the picture below


A) There is an asymptote at y = 70.

B) The y-intercept is located at (0, 70).

C) There is an asymptote at x = 0.

D) The x-intercept is located at (70, 0).

Answers

Answer:

B. The y-intercept is located at (0,70)

Step-by-step explanation:

This is because 70 is on the y part of table. Hope this helps!

Un escalador sube 225m de altura. El asenso lo hizo en 3 etapas. En la primera subio un quinto en la, en la tercera un cuarto. ¿cuanto hizo en la segunda?

Answers

Answer:

Segunda etapa= 123.75 metros

Step-by-step explanation:

Altura total= 225 metros

En la primera estapa subió el 20% (un quinto):

Primera etapa= 225*0.2= 45 metros

En la tercera etapa subió 25% (un cuarto):

Tercera etapa= 225*0.250 56.25 metros

Ahora debemos determinar cuánto subió en la segunda etapa:

Segunda etapa= altura total - total subido

Segunda etapa= 225 - (45 + 56.25)

Segunda etapa= 123.75 metros

Find the surface area.
17 ft
8 ft.
20 ft
15 ft

Need this fast

Answers

Answer:

920 square feet

Step-by-step explanation:

Top: 20 * 17 = 340

Side triangles: 8 * 15 / 2 = 60

2 side triangles: 60 * 2 = 120

Back rectangle: 8 * 20 = 160

Bottom rectangle: 15 * 20 = 300

All of them: 340 + 120 + 160 + 300 = 920

The surface area is the sum of the area of the two similar triangles and the area of the three rectangles. Then the surface area of the geometry will be 920 square feet.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The surface area of the geometry will be

The surface area is the sum of the area of the two similar triangles and the area of the three rectangles.

The area of the rectangles will be

Area of rectangles = 8 x 20 + 15 x 20 + 17 x 20

Area of rectangles = 160 + 300 + 340

Area of rectangles = 800 square feet

The area of the triangles will be

Area of triangles = 2 x 1/2 x 15 x 8

Area of triangles = 120 square feet

Then the area of the geometry will be

Area of geometry = 800 + 120

Area of geometry = 920 square feet

More about the geometry link is given below.

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Can pls help me with my homework plss

Answers

Who good with algebra 2?

[tex]cos \: k = \frac{adj}{hyp} = \frac{5}{13} [/tex]

//

I'm unsure about what to do after that but you can:

[tex]cos( \frac{5}{13} ) = 0.999977469[/tex]

[tex]cos \: k = 1.00[/tex]

or

[tex] \frac{5}{13} = 0.384615385[/tex]

[tex] = 0.38[/tex]

I think the first one's safer.

A) 274 m2
B) 302 m2
C) 344 m2
D) 420 m2

Answers

Answer:

The answer is C)344 m2

Step-by-step explanation:

6 x 7 x 2

7 x 10 x 2

6 x 10 x 2

The temperature is −3.4 degrees Celsius. The temperature goes down 7.9 by degrees. What is the new temperature? pls help me its due in 10

Answers

Answer:

-11.3 is the answer

Step-by-step explanation:

because -3.4-7.9= -11.3

What is the solution to 5x-2<13

Answers

Answer:

x<3

Step-by-step explanation:

Step 1: Add 2 to both sides.

5x−2+2<13+2

5x<15

Step 2: Divide both sides by 5.

5x/5 < 15/5

x<3

3, 5, 6, 1, 3, 11,7
Mean
Range =
Median =
IQR =
Mode =
Variance =
Midrange=
Standard Deviation

Answers

Answer:

range= 10

median= 5

mode= 3

Variance= 11 (rounded) normal answer without rounding 10.809524

Midrange= 6

A(n) ________________ is a statement that two quantities are not equal.

Answers

Inequality hope this helps :)

Plz help I don’t get this

Answers

the first and third one are correct

24 students in a class took an algebra test. if 18 students passed, what percent passed.

Answers

Answer:

75%

Step-by-step explanation:

18/24=0.75

Answer:

75%

Step-by-step explanation:

24 divided by 4 is 6, so 25% of 24 is 6. 18 divided by 6 is 3, so 18 out of 24 is 75%.

I need help with the picture. please

Answers

you have to use the order of operations (PEMDAS)

x=3

7+5(3)

MULTIPLACTION FIRST

7+15= 22

so the first was wrong because she added before multiplying

x= 4/5

7+5(4/5)

MULTIPLICATION FIRST

7+4= 11

the second was wrong because she added before multiplying again

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