Given:
In triangle ABC, a=74.1, b= 60.8, c=114.2.
To find:
The measure of angle C.
Solution:
According to the Law of cosine:
[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]
Substituting [tex]a=74.1,b= 60.8,c=114.2[/tex], we get
[tex]\cos C=\dfrac{(74.1)^2+(60.8)^2-(114.2)^2}{2(74.1)(60.8)}[/tex]
[tex]\cos C=\dfrac{5490.81+3696.64-13041.64}{9010.56}[/tex]
[tex]\cos C=\dfrac{-3854.19}{9010.56}[/tex]
[tex]\cos C=-0.42774145[/tex]
Taking cos inverse on both sides, we get
[tex]C=\cos^{-1}{-0.42774145}[/tex]
[tex]C=115.324312[/tex]
[tex]C=115.3^\circ[/tex]
Therefore, the correct option is d.
Melinda collects antique glass bottles, she has 6 bottles made of blue glass, this is only 20% of her bottle collection. How many bottles does she have altogether?
please hurry :]
maya cuts a piece of wood into two parts, the first part is 25 cm longer than the second part, .the original length of the wood is 85 cm.how long is each part of the wood?
Using the work shown on the left, What is the cubed root of 4/ the square root of 2 in simplest radical form
Answer:
⁶√2
Step-by-step explanation:
∛4 = (2^2)^1/3 = 2^2/3
So ∛4 / √2
= 2^2/3 / 2^1/2
= 2^1/6
= ⁶√2
Answer:
Option C- Picture Below
Step-by-step explanation:
Just to as the first one's confirmation.
a trapeziod had bases of lengths 8 and 12. find the trapeziods area if its height is 12?
Answer:
Area=120
Step-by-step explanation:
[tex]Area=\frac{base1+base2}{2} *height[/tex]
[tex]Area=\frac{8+12}{2} *12[/tex]
[tex]Area=10*12[/tex]
[tex]Area=120[/tex]
Which number line shows the approximate location of the square root of 10?
Answer:
It should be somewhere near 3.16
Step-by-step explanation:
The square root of 10 simplified is around 3.16
Answer:
Estimated 3.16
Step-by-step explanation:
I'm taking the test right now. Mark brainliest if it helped.
Which angles are adjacent angles?
Answer:
Step-by-step explanation:
YA'LL LOOK
https://picrew.me/image_maker/678875/complete?cd=CoL7ZrEndz
whats the square root of 81
Answer:
Square root of 81 is 9
Step-by-step explanation:
#3 Find the r and the surface area
Answer:
r will be half of your diameter so 11 divided by 2 = 5.5 is your new radius.
To find surface area we use the basic formula:
4πr^2
4 x 3.14 x 30.25(radius squared, 5.5 x 5.5 = 30.25) = 379.94 ft^2 is your surface area
los monitores que están fabricando estan apoyados en un soporte triangular, si el monitor mide 50 cm y debe tener una altura de 30cm ¿cuanto mide la base del soportre?
Answer:
La base del soporte mide 58.3 cm.
Step-by-step explanation:
Dado que los monitores que están fabricando están apoyados en un soporte triangular, si el monitor mide 50 cm y debe tener una altura de 30cm, para determinar cuánto mide la base del soporte se debe realizar el siguiente cálculo utilizando el teorema pitagórico:
50^2 + 30^2 = X^2
2,500 + 900 = X^2
3,400 = X^2
√3,400 = X
58.30 = X
Por lo tanto, la base del soporte mide 58.3 centímetros.
Question 2
0.5 pts
Write 0.1133 as a fraction.
(Does not need to be simplified)
[a]
Question 3
0.5 pts
what
Answer:
1133/10000
Step-by-step explanation:
Select all the statements that are true in all cases.
The expressions x + x and x2 are equal. The expressions x + x and 2x are equal. The expressions (x) (x) and x2 are equal. The expressions (x) (x) and 2x are equal.
Answer:
The expressions x + x and 2x are equal.
[tex]the \: expressions \: (x)(x) \: and \: {x}^{2} \: are \: equal[/tex]
whats the length of the third side? round to the nearest tenth if u need to
Please just show work on how to solve!
Answer:
(5,7)
Step-by-step explanation:
Could I get help as soon as possible?
Answer:
(0, 0)
Step-by-step explanation:
It's 0 minutes since the bath begun, the depth of the water is 0 inches. I know I already answer this, but just in case.
What does the abbreviation CD stand for?
The abbreviation CD stands for "Compact Disc."
A compact disc is a small, portable, round disc that is used for storing and playing back digital audio, video, and other types of data. It was introduced in the early 1980s as a replacement for vinyl records and cassette tapes.
A CD is made up of a polycarbonate plastic layer that is coated with a reflective metal layer and protected by a clear plastic layer. Information is stored on the disc in the form of tiny pits and lands that are read by a laser beam in a CD player or computer CD-ROM drive.
CDs have a storage capacity of up to 700 MB, which allows for around 80 minutes of audio or several hours of compressed video. They are commonly used for storing music albums, software programs, and other types of multimedia content.
In addition to audio CDs, there are also CD-ROMs (read-only memory), CD-Rs (recordable), and CD-RWs (rewritable). CD-ROMs are pre-recorded discs that cannot be modified, while CD-Rs and CD-RWs can be burned or written with data by the user. CD-Rs can only be written once, while CD-RWs can be erased and re-written multiple times.
Overall, the abbreviation CD refers to the Compact Disc, a versatile medium for storing and playing back digital data.
For more Questions on Compact Disc
https://brainly.com/question/15720824
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What is the slope of a line parallel to the line whose equation is 15x+9y=-16215x+9y=−162. Fully simplify your answer.
Answer:
-5/3
Step-by-step explanation:
Any line parallel to the given line will have the same slope as the given equation;
Given the equation 15x+9y=-162
Rewrite in standard from y = mx+b
15x+9y=-162
9y = -15x - 162
y = -15/9 x - 162/9
y = -5/3 x - 18
This gives the required equation;
Since mx = -5/3 x
m = -5/3
Hence the slope of the line parallel to the given line is -5/3
Answer this if you know this
5+3-2√5±∞
Answer:
wt actual hell
Step-by-step explanation:
Answer:
answering because my account got banned
Step-by-step explanation:
dillon pays x dollars to get a haircut. he gives the stylist a 15% tip. the expression representing his total cost is x + 0.15x
Answer:
B) 1.15x, adding 15% to the cost of haircut is same as to multiply cost by 1.15
Step-by-step explanation:
Given expression = x + 15% of x
x + (15/100) x = x + 0.15x
= (1+ 0.15) x = 1.15x
15% = 0.15 , added to x = 1.15x
Pls help me I really need help for this question
Step-by-step explanation:
the correct answer is the third one
Will Mark Brainliest!!!
Solve for L
m=ln+2/k
Answer:
L=KN-2/M
I got it right with this answer. Hope this helps.
A milk truck has a diameter of 10 and feet and a height of 50 feet. How much milk can the truck hold?
Answer:
1250(pi) ft^3
or
3926.99 ft^3
Step-by-step explanation:
[tex](\pi {5}^{2} ) \times 50[/tex]
you have to put feet cubed at the end for units
Find the distance between the two endpoints.
(-6, 1) and (-3, 1)
Answer:
3
Step-by-step explanation:
distance formula
This should be the last question for the day...hopefully
Evaluate w - (w - 8) + v, when w = 11 and v = 16.
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Answer:
24
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what is the surface area of a rectangular prism if the length is 14.5 square inches, the width is 11 square inches, and the height is 2 square inches?
PLEASE HELP ITS DUE TODAY
A trader made a profit of 24% by selling an article for #372 how much should he have sold it to make a profit of 48%
Answer: #444
Step-by-step explanation:
First find the original selling price of the article.
When sold for #372 the profit was 24%. Assume the original price is x.
372 = x + 24% * x
372 = 1.24x
x = 372 / 1.24
= #300
If he wanted to make a profit of 48% he should have sold for:
= Original price + (original price * 48%)
= 300 + (300 * 48%)
= #444
for brainiest:):):):):):)
Answer:
Just a rough try of the STRUCTURE, not the actual. Use a protractor.
what is the radius of the circle which has the given equation? (x - 2)2 + (y + 1)2 = 16
Answer:
r = 4units
Step-by-step explanation:
The standard foem of equation of a line is expressed as;
(x-a)² + (y-b)² = r²
r is the radius
Compare with the given equation (x - 2)^2 + (y + 1)^2 = 16
r² = 16
r = √16
r = 4
Hence the radius of the circle is 4
A group of students stood in a circle to play a
game. The circle had a diameter of 22 meters.
Which measurement is closest to the area of the
circle in meters ?
Answer: Choice C) 379.94 square meters
=========================================================
Work Shown:
Diameter = 22 meters
Radius = 11 meters (half the diameter)
We'll plug r = 11 into the formula below
A = pi*r^2
A = 3.14*11^2
A = 379.94
This value is approximate since pi = 3.14 is approximate. Use more decimal digits of pi to get a more accurate area value.
Describe fully the single transformation that takes shape P to Q
Answer:
Triangle P is scaled up 3 times to become triangle Q.