Which ratio represents the cotangent of angle B in the right triangle below?
A. 5/3
B. 3/5
C. 3/4
D. 4/3
Answers
Answer:
C. 3/4
Step-by-step explanation:
Using the SOH CAH TOA identity;
tan theta = opposite/adjacent
From the diagram
Opposite = x
Adjacent = 12
tan <B = x/12
Since cot <B = 1/tan <B
cot <B = 12/x
Get x using pythagoras theorem
x² = 20²-12²
x² = 400 -144
x² = 256
x = 16
Hence cot <B = 12/16
cot <B =3/4
Related Questions
Elsa sells knitted hats for $5 each. Her goal is to make $300 in sales, so she wants to calculate how many hats she needs to knit (x). choose ALL equations in which x correctly represents the number of hats she needs to sell to meet her goal.
A) x/5 = $300
B) 5x = $300
C) $300x = 5
D) 300/5 = x
E) 5/300 = x
Answers
Answer:
B
Step-by-step explanation:
Answer:d and e
Step-by-step explanation:
YESIRRRRRRRRRRRRRRRRRRRRRRRRRRRR
FOUNTAINS The circular fountain in
front of the courthouse has a radius of
9.4 feet. What is the circumference of
the fountain? Round to the nearest
tenth.
Answers
Answer:
The fountain has a circumference of 9 feet.
Step-by-step explanation:
5 and above get rounded to the next tenth and 4 and below rounds to the nearest 10 also and that would be 9 if it was 9.5 or above the answer would have been 10.0
question in photo! giving away master
Answers
Answer:
D.) -3
Step-by-step explanation:
N is greater than -4 and less than -2.
Therefore, -3 is N since it is between -4 and -2.
¿Cómo es esto?, Plisssssssssss ayuda
Answers
Answer
I think it is number 5
Step-by-step explanation:
The quotient of a number and 2 is 3. Find the number.
Answers
Answer:
6
Step-by-step explanation:
6 divided by 2 is 3
PLEASE HELP !!
find the length of arc AB. round your answer to the nearest hundredth
Answers
Answer:
The answer will be MAB= 19.53m
Step-by-step explanation:
hope it helps have a great day ^_^
what is 12% as a fraction in simplest form?
Answers
Answer:
10
Step-by-step explanation:
you convert the 12% so that it becomes a fraction...it becomes 12\100 , then put it in its lowest form ...
Here are the ingredients for making pineapple sorbet for 6 people. 800g 4 egg whites 1/2 lemon 100g cater sugar Ann makes pineapples sorbet for 9 people . workout how many pinapple she uses
Answers
determine the constant rate of change beetween x and y in the table
Answers
Answer:Theres no table please edit and put a table.
At a baseball game, a vender sold a combined total of 172 sodas and hot dogs. The number of sodas sold was 58 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.
Answers
S is sodas and H is hotdogs
You can get two equations from the statement
Total sold of 172= S + H
And S-58=H
Replace the H in the first equation with the second
So
172=S+(S-58)
230=S+S =2S
230/2=S=115
115-58=57=H
And to check 57+115=172 total again
What is 0.66% of 9,500 is
Answers
Answer:
62.7
Step-by-step explanation:
Answer:
62.7%
Step-by-step explanation:
A line passes through point (-8,-6) and has a slope of
5/2
Write an equation in Ax+By=C form for this line.
Use integers for A, B, and C.
Answers
Answer:
5x - 2y= -28
Step-by-step explanation:
Since the y= mx + b format would be: y= 5/2x + 14
Standard form is: 5x - 2y= -28
Helppppppppppppppppppppp
Answers
Answer:
3 bags
Step-by-step explanation:
Even though she will have extra she still will need 3 bags to get 12.
Answer:
3
Step-by-step explanation:
We know Ms.Smith is buying avocados and needs 12, we also are provided with the fact that she buys them in bags of 5.
If you take a look at the picture, we need to find a bag that fits 12 avocados in, this would be 3. As in 3 bags that contain 15 avocados in total, though excessive amount, this is the bag that she would need to benefit her the most.
the graph of a fraction f is shown below
Answers
Answer:
f(3) = -2
One value of x for which f(x) = 2 is f( 1 )
hope this helps :)
find the missing side each triangle.round your answers to the nearest tenth if necessary
Answers
Answer:
x = 6
Step-by-step explanation:
The triangle is a right triangle, as denoted by the red square at the bottom, we can use the Pythagorean Theorem to figure out the second side (since we are given the other side and the hypotenuse).
a² + b² = c²
(8)² + b² = (10)²
64 + b² = 100
b² = 100 - 64 = 36
b = ±[tex]\sqrt{36}[/tex]
b = ± 6
But we know that distance is always positive, so
b = 6
I have used b in place of x if you are confused about the variable usage.
Suppose that y varies directly with x. When x = -4, y=-14. Determine the value of y when
X=9
Answers
Answer:
if x=-4 & y=-14...then x=9 & Y= -1. which is minus 10
Step-by-step explanation:
-4 is 10 under -14. If X=9 then Y= -1.
PLZ HELP DUE IN 3 MINUTES!!!!
Answers
Answer:
a1) 65
a2) 25
a3) 45
Step-by-step explanation:
all triangle equal to 180
Answer:
65
25
45
Step-by-step explanation:
1) green triangle 180 - 50 - 65 = 130 - 65 = 65
2) purple triangle 180 - 130 - 25 = 50 - 25 = 25
3) red triangle 180 - 45 - 90 = 90 - 45 = 45
Plsss help me I’m trying to do this test
Answers
Answer:
(-3,2)
hope it helps.....
A large bakery has many different products for sale. Suppose that 200 customers come in between 6 am and 10 am. Of the 200 customers, 140 order donuts, 100 order cinnamon rolls, and 80 order both. Suppose a customer is randomly selected. Find P(no donuts and no cinnamon rolls).
Answers
Out of 200 customers, the probability of a customer not ordering either donuts or cinnamon rolls is 0.2 or 20%.
Use the concept of probability defined as:
For the occurrence of an event, it is a ratio of the number of favorable outcomes to the number of total outcomes.
Given that,
Time frame: 6 am to 10 am
Total number of customers: 200
Number of customers who ordered donuts: 140
Number of customers who ordered cinnamon rolls: 100
Number of customers who ordered both donuts and cinnamon rolls: 80
To find the probability of a customer ordering neither donuts nor cinnamon rolls:
Subtract the probability of a customer ordering either donuts or cinnamon rolls or both from 1.
Now calculate:
Probability of ordering donuts:
140 out of 200 customers ordered donuts,
The probability of ordering donuts is,
140/200 = 0.7.
Probability of ordering cinnamon rolls:
100 out of 200 customers ordered cinnamon rolls,
The probability of ordering cinnamon rolls is,
100/200 = 0.5.
Probability of ordering both donuts and cinnamon rolls:
80 out of 200 customers ordered both,
The probability of ordering both is,
80/200 = 0.4.
Now, to find the probability of a customer ordering neither donuts nor cinnamon rolls,
Subtract the probability of ordering either or both from 1:
P(no donuts & no cinnamon rolls) = [tex]1 - P( \text{donuts}) - P(\text{cinnamon rolls}) + P(\text{donuts & cinnamon rolls})[/tex]
[tex]\text{P(no donuts & no cinnamon rolls)}= 1 - 0.7 - 0.5 + 0.4[/tex]
[tex]\text{P(no donuts & no cinnamon rolls)} = 0.2[/tex]
Hence,
The probability of a customer not ordering either donuts or cinnamon rolls is 0.2 or 20%.
Learn more about the probability visit:
https://brainly.com/question/13604758
#SPJ12
7,12,13,14,15,14,19,14,13,10,11,7,18,20,14,16,14,18,13
find the median?
Answers
Answer:
14
Step-by-step explanation:
its 14 because its listed more then once i mean so is 13 but 14 is listed 6 times and 13 is listed 3 times
so there for your answer is 14
78x − 12 = 316x + 5 what is the answer pls help
Answers
Answer:
-0.0714 approx
Step-by-step explanation:
78x − 12 = 316x + 5
Bring all the like terms together
78x -316x = 5 + 12
-238x = 17
∴ x = 17 ÷ -238 = -0.0714 (rounded up to 3 significant figures)
The circumference of a circular garden is 28 feet. Which of the following expressions best represents the radius of the garden?
A. 28π28 over pi
B. 28(π)28 times pi
C. 282π28 over 2 pi
D. 28(2π)
Answers
Answer: The answer is ACTUALLY C
Step-by-step explanation:
REMEMBER: The radius is always half of the diameter.
So the question is asking us what is the radius of a garden with a circumference of 28. In order to find HALF of that you would need to divide 28 so the answer is ( C ) not d...
SOLID PROOF:
complete the equation of the line through (-8,-2) and (-4,6).
use exact numbers.
y= ?
Answers
Answer:hey
Step-by-step explanation:
what 2 numbers multiply to 77 and add to 18
Answers
Answer:
11 and 7
Step-by-step explanation:
11+7=18, and 11 x 7=77
Hope I helped!
Answer:
i think it is 11 and 7
Step-by-step explanation:
2. What is the y-intercept of the following linear function?
f(x) = 2x + 4*
(2 Points)
O a. (0.4)
O b. (4.0)
O c. (-2,0)
O d. (0-2)
Answers
Warren made 5 pans of brownies. He will slice the brownies into pieces, and each piece will be 1/10 of the size of a pan. How many slices of brownies will Warren create? a. 10 b. 25 :c. 50. d. 100
Answers
Answer:
c
Step-by-step explanation:
If a piece is equal to 1/10 of a pan , a pan would make 10 brownies
5 pans would make , 10 x 5 = 50 brownies
Answer: c
Step-by-step explanation: each pan is 10 slices so if you multiply that with how many pans you have which is 5 and 5 x 10 = 50
Colin & Brian share a lottery win of £2100 in the ratio 4 : 1.
Colin then shares his part between himself, his wife & their son in the ratio 2 : 5 : 3.
How much more does his wife get over their son?
Answers
Answer:
2
Step-by-step explanation:
I think but am not sure sorry I can not help
Bill bought a table on sale for $630. This price was 72% of the original price.
What was the original price?
Answers
Answer:
The original price was $875.
Step-by-step explanation:
a = p * w
630 = 72% * w
630 / 0.72 = $875
$875 should be the original price, I hope this helps!
3/8 x 3/4=
9/32
1/2
9/24
1/8
Answers
Answer:
9/32
Step-by-step explanation:
3 x 3 = 9. 8 x 4 = 32. 9/32
Divide. Write the answer in simplest form.
\frac{5}{6}\div4
6
5
÷4
Answers
Answer:
3/10
Step-by-step explanation: