Answer:
C) Angle X Y W is 76 degrees. The length of X Y is 5, the length of W Y is 10, and the length of W X is y.
Step-by-step explanation:
On which triangle can the law of cosines be applied once to find an unknown angle measure?
The Law of cosines is given as:
a² = b² + c² - 2bccos(A)
From the options given above, the correct option is Option C
C) Angle X Y W is 76 degrees. The length of X Y is 5, the length of W Y is 10, and the length of W X is y.
This is because:
Law of Cosines helps us to find an unknown side of a triangle when we are given 2 known sides and 1 angle.
In the above question, we are given angle 76 degree, and the length of two sides: The length of X Y is 5, the length of W Y is 10
The unknown side is the length of W X which is represented as y.
Hence, Option C is the correct option.
Answer:
D
Step-by-step explanation:
I got it right on my program.
find the length of side x in simplest radical form with a rational denominator
Answer:
x = (2√6)/3
Step-by-step explanation:
Reference angle = 30°
Hypotenuse = x
Adjacent = √2
Thus, applying trigonometric ratio, we have:
Cos(30) = adj/hyp = √2/x
x*cos(30) = √2
x = √2/cos(30)
x = √2/(√3/2) (cos 30 = √3/2)
x = √2 × 2/√3
x = (2√2)/√3
Rationalize
x = (2√2 × √3)/(√3 × √3)
x = (2√6)/3
An account earns annual simple interest. Find the balance of the account.
$5,000 at 6% for 9 months.
Answer:
$7700
Step-by-step explanation:
As the account earns 6% interest, if we find 6% of $5000 we get $300, the interest is simple and given every month, meaning you get $2700 in interest as $300 x 9 months = $2700
$5000 initial + $2700 interest = $7700
EDIT:
It could be that the interest is 6% yearly, which means that yearly you get 6% interest, and the answer is $5225.
6% interest is $300 per year
$300÷12= $25 per month
$25 x 9 months = $225
$5000 initial plus $225 interest = $5225 total
Compared to last year, the population of Boom Town has increased 25%. The
population is now 6,600. What was the population last year?
Answer:
Step-by-step explanation:
1.25p=6600
p=6600/1.25
p=5280
Jason bought 6 CDs to add to his collection. A week later he dropped half of his total collection in a pond. He only had 12 CDs left. How many CDs did he start with?
Answer:
24 CDs
Step-by-step explanation:
if he dropped half of his CDs then the other half is in the equation. 12×12=24 the 6 is just there to throw you off...
if I get it wrong my bad its 2 am
Answer:
Jason starts with 18 CDs
Step-by-step explanation:
12 x 2 = 24
24 - 6 = 18
1. Find the coordinates of the centroid of the triangle with the given vertices.
A(2,3), B(8, 1), C(5,7)
The centroid is ( , )
9514 1404 393
Answer:
(5, 3 2/3)
Step-by-step explanation:
The centroid is the average of the vertex coordinates:
(A +B +C)/3 = ((2, 3) +(8, 1) +(5, 7))/3 = (2+8+5, 3+1+7)/3 = (5, 3 2/3)
Answer:
46940064
Step-by-step explanation:
1)
The angle of inclination is the angle between the horizontal and the ramp.
Using the sine ratio in the right triangle formed by the ground and the ramp
let x be the angle of inclination, then
sinx = \frac{opposite}{hypotenuse}
hypotenuse
opposite
= \frac{0.7}{4.2}
4.2
0.7
, then
x = sin^{-1}sin
−1
(\frac{0.7}{4.2}
4.2
0.7
) ≈ 10° ( to the nearest degree )
(2)
Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.
let y be the height of the kite and x the horizontal distance, then
sin27° = \frac{opposite}{hypotenuse}
hypotenuse
opposite
= \frac{y}{176}
176
y
( multiply both sides by 176 )
176 × sin27° = y , then
y ≈ 80m ( to the nearest metre ) ← height of kite
and
cos27° = \frac{adjacent}{hypotenuse}
hypotenuse
adjacent
= \frac{x}{176}
176
x
( multiply both sides by 176 )
176 × cos27° = x , then
x ≈ 157m ( to the nearest metre ) ← horizontal distance
What is the percent increase from 40 to 64
Answer:
60 percent
Step-by-step explanation:
Where: 40 is the old value and 64 is the new value. In this case we have a positive change (increase) of 60 percent because the new value is greater than the old value.
1. If a height of each of the bars in a bar graph get taller as you go from the far left to the far right, the data are:
A. skewed left
B .symmetrical
c skewed right
D. No answer text provided.
2. If the height of each of the bars in a bar graph get shorter as you go from the far left to the far right, the data are:
A. skewed left
B. symmetrical
C. skewed right
D. No answer text provide
3. If the height of the each of the bars in a bar graph as you go from the far left to the right gets taller until you reach the middle and then gets shorter as you continue to the far right, the data are:
Group of answer choices
A.skewed left
B. symmetrical
C. skewed right
D. No answer text provided.
Answer:
1. Skewed to left (negative)
2. Right skewed (positive)
3. Symmetric
Step-by-step explanation:
Kelly had2 3/4 qt of cooking oil. She used 2/5 of it to deep fry some fish. How much oil did she use
Answer:
answer is 3 3/20
Consider the graph of the function f(x) = e^x
Answer:
The y intercept is positive 1 because that's where the graph crosses the y axis.
Answer:
Horizontal Asymptote of y= -7
Step-by-step explanation:
please help me find the value of x
Answer:
67°
Step-by-step explanation:
Corresponding angles are equal in parallel lines.
Here, ∠acb and ∠aed are corresponding angles for lines bc and de
hence ∠aed = ∠acb = 39
in triangle ade,
x + 74 + 39 = 180 (angle sum property of a triangle)
x = 67°
PLEASE HELP ASAP DUE VERY SOON
Answer:
your answer will be A'B'/AB=3/1=3
Step-by-step explanation:
i hope this helps you
Answer:
3 is the correct answer......
Heyy plsss helppp it’s important!!!
Answer:
x is less than or equal to 3
Step-by-step explanation:
The dot is a closed dot, which means that it is something or equal to, and the arrow is pointing down, which means less than. So the sign would be less than or equal to (sorry I don't have that sign on my computer). The dot is on three, so the inequality is x is less than or equal to 3.
If the volume of a cone with the same height as a cylinder equals the volume of the cylinder, the equation for the radius of cone Rin terms of the radius of cylinder r is:
Answer: R = √(3*r^2)
Step-by-step explanation:
For a cylinder with radius r and height H, the volume is:
V = pi*r^2*H
For a cone of height H, and with a base of radius R, the volume is:
V = (1/3)*pi*R^2*H
In this case, we know that both figures have the same height, and the same volume, then we can write:
pi*r^2*H = (1/3)*pi*R^2*H
Now we can divide by pi in both sides to get:
(pi*r^2*H)/pi = ((1/3)*pi*R^2*H)/pi
r^2*H = (1/3)*R^2*H
Now we can divide both sides by H:
(r^2*H)/H = ((1/3)*R^2*H)/H
r^2 = (1/3)*R^2
Now we want to write R in terms of r.
Then we need to isolate R in the above equation:
r^2 = (1/3)*R^2
3*r^2 = R^2
√(3*r^2) = R
R = √(3*r^2)
Mrs.Kim wants to share the stickers equally with each of her students. there are 32 students in here class
100 points for this
Answer:
Ok... what's the question
Step-by-step explanation:
Answer:
anwser= 8 she will have 0 left
Step-by-step explanation:
each student gets 8 stickers
:)
Kiemanh is solving the equation 15 r minus 6 r = 36. What is the value of r?
Answer:
4
Step-by-step explanation:
combine like terms 15r-6r=9
9=36
divide both sides by 9
=4
what is x? (WILL GIVE BRAINLIEST)
Answer:
5
Step-by-step explanation:
Answer:
x = 5
Step-by-step explanation:
These are vertical angles, so both equal 51 degrees. To solve for x, solve the equation (9x + 6) = 51. 51 - 6 is 45. 45 divided by 9 is 5. So x = 5.
Hope it helps!
3 1/4 divided by 1 1/4 =
Answer:
2.6, 2 3/5, 2 6/10
Step-by-step explanation:
2.6 as a fraction is 2 3/5. When you read the decimal 2.6, it is read as ''2 and 6 tenths. '' This can also be written as a mixed number of 2 6/10.
ANSWER TO NUMBER 3 FIRST PERSON GETS BRAINLIEST!!
When renting a limo for prom, the number of people is inversely proportional to the cost per person. Originally there were 4 people and the cost per person was $57. If the number of people changed to 12, what would be the new cost per person?
Explain answer !
( Will give brainlst)
Answer:
I think that the answer is m= -5/4
100 POINTS! SHOW WORK!
Given : MO bisects
Answer:
[tex]\huge\boxed{\boxed{\mathcal{C)x=13.25}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:disectsequationPEMDAStips and formulas:disects divide an angel to two equal angleslet's solve:[tex] step - 1 : define[/tex]
[tex]\text{according to the question}[/tex]
[tex] \sf5x - 22 = x + 31[/tex]
[tex] step - 2 : solve[/tex]
[tex] \sf \: add \: 22 \: to \: both \: sides : \\ \sf5x - 22 + 22 = x+31+22\\ \sf 5x=x+53[/tex][tex]\sf\text{ cancel x from both sides}\\ \sf 5x-x=x-x+53\\ \sf 4x=53[/tex][tex] \sf divide \: both \: sides \: by \: 4 \\ \sf \frac{4x}{4} = \frac{53}{4} \\ \sf x = 13.25[/tex]If MO bisects <LMN then m<LMN=2m<LMO
[tex]\\ \sf\longmapsto 5x-22=2(x+31)[/tex]
[tex]\\ \sf\longmapsto 5x-22=2x+62[/tex]
[tex]\\ \sf\longmapsto 5x-2x=62+22[/tex]
[tex]\\ \sf\longmapsto 3x=84[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{84}{3}[/tex]
[tex]\\ \sf\longmapsto x=28[/tex]
A box contains 2 red marbles 3 green marbles and 3 blue marbles if we choose a marble then another marble without putting the first one back in the box what is the probability that the first marvel will be green and the second will be blue
Answer: 9/56
Step-by-step explanation:
A student is taking a true/false quiz with 16 questions. The student has not studied and has an equal chance of answering True or False on each question. What is probability that the student will answer at least 12 questions correctly?
Chance of success
0.03841 or 3.84%
Step-by-step explanation:
There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?
PLZ answer fast its an emergancy
Answer:
5/11*5/11=25/121
Step-by-step explanation:
There are 6+5 marbles.
Of those, 5 are red.
The chances of drawing a red marble are 5/11
Since you replace the marble you drew, the chances each draw remain 5/11
You cannot draw two red marbles without drawing a red marble on your first draw, so the odds of you making a second draw are 5/11. The odds of that also being red are 5/11… but we only care about that 5/11ths the time
What is the data correlation in the scatter plot below?
Negative
No correlation
Positive
Please help! Will give Brainly
Answer:
a 35
Step-by-step explanation:
4/5 divided by 3/4 =
Answer:
16/15 or 1 1/15
Step-by-step explanation:
4/5 divided by 3/4
Flip 3/4 so it is 4/3
Multiply 4/5 by 4/3
16/15
Amy and three of her friends went to lunch. The total bill was $54.00. If they wanted to leave a 20% tip how
much more is added tot he bill?
If the girls split the bill evenly, how much does Amy pay?
Answer:
$16.20
Step-by-step explanation:
Bill: $54.00
Tip: 20%
People: 4
To figure out 10% of the bill, you need to move the decimal point over to the left one place: $5.40
10%: $5.40
5.40 times 2 = $10.80
54.00 + 10.80 = 64.80
Grand Total= $64.80
Since there are 4 people, we need to divide by 4:
64.80 divided by 4 = $16.20
HELP ASAP PLSSSSSSSSSSSSSSS
Answer:
a. 5ab b. 11x+15y
Answer:
a. 5ab
b. 11x+5y
Step-by-step explanation:
12ab-7ab they have the same variables, so you can just subtract
19x+5y-8x just rearrange it to 19x-8x+5y and subtract 19x and 8x
From the list of these numbers 3,5,7,12,15,18,20
What is a factor of 10