The missing side of the triangle, using Cosine rule, is 23cm long.
How to Apply Cosine ruleTo 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.
Learn more about cosine rule here:
https://brainly.com/question/30766161
#SPJ1
What is the value of y in the product of powers below? 8^3x8^-5x8^y=8^-2=1/8^2
Find the surface area.
17 ft
8 ft.
20 ft
15 ft
Need this fast
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.
https://brainly.com/question/7558603
#SPJ2
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
A secant crosses the circle without passing through the center
The secant line is (c) line segment AB
How to determine the secant lineFrom 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!
Help please and thank you
Step-by-step explanation:
i think it is the third choice
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?
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.
Prove one pair of opposite sides are congruent and parallel
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
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! :)
What is the solution to 5x-2<13
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
A) 274 m2
B) 302 m2
C) 344 m2
D) 420 m2
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
Plz help I don’t get this
The predicted costs of an average electric car and an average gasoline car after 2030, are represented by the following tables:
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
24 students in a class took an algebra test. if 18 students passed, what percent passed.
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%.
Find the circumference of the circle use 3.14 for that symbol help ASAP
I need help with the picture. please
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
Can pls help me with my homework plss
[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.
The sum of five-sixths of f, one-half of p, and 3
Answer:
The expression would look like this: [tex]\frac{5}{6}f + \frac{1}{2}p + 3[/tex]
Karen is making 14 different kinds of greeting cards. She is making 12 of each kind. How many greeting is she making.
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).
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?
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
3, 5, 6, 1, 3, 11,7
Mean
Range =
Median =
IQR =
Mode =
Variance =
Midrange=
Standard Deviation
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.
For what value of n is 20 = {n+4?
a)
b) *
c) 40
d) 60
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
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?
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;
https://brainly.com/question/1578538
#SPJ2
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
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:
♥☺
A circular mirror has a diameter of 16.5 inches. What is the circumference of the mirror? Round to the nearest hundredth
Answer:
C≈51.84in
Step-by-step explanation:
C=2πr
d=2r
Solving for C
C= πd= π·16.5≈51.83628in
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
Answer:
-11.3 is the answer
Step-by-step explanation:
because -3.4-7.9= -11.3
Please help anyone will give Points
Answer:
do the base are 3 then times that twice
Step-by-step explanation:
answer my question PLEASE
Answer:
jahshh83828
Step-by-step explanation:
iwhdbwowhei2kdhe829274
*URGENT* Would it be better to invest at 6% APR compounded annually or 6% APR compounded
continuously?
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.