Answer:
37.7in
Step-by-step explanation:
C=2πr=2·π·6≈37.69911in
Answer:
37.6 (simplified)
Step-by-step explanation:
The formula for circumference is 2[tex]\pi[/tex]*r. Simply replace r with 6 and multiply from there. Normally you would simplify pi down to 3.14 as well.
a ranger is at the top of a 200 foot tall lookout tower. she spots a fire at an angle of depression of 3° from the top of her tower. To the nearest tenth of a foot, how far away is the fire?
Step-by-step explanation:
tan3 = 200/x
x = 200/tan3
The question is incomplete. The right question is:
A ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°. To the nearest tenth of a foot, how far away is the fire from the base of the tower?
The distance between the fire and the base of the tower is 3816.2 feet.
What is the concept of height and distances?Heights and Distances is a trigonometric application-based concept, where we try to form a right-angled triangle of the given conditions, take the angles of elevation and depression and try to find the unknowns.
How do we solve the given question?We are given that a ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°.
We are asked to find the distance between the fire and the base of the tower.
We let the 200-foot observation tower be AB. Let the point of fire be C. Join BC and AC to complete the right-angled triangle ABC, with ∠B = 90°. The ranger from the top of the tower has a 3° angle of depression to the fire. We draw the horizontal line of sight AD. Now the angle of depression can be shown by the ∠DAC = 3°.
We let the distance between the fire and the foot of the tower be x foot.
∠BCA = ∠DAC = 3° (alternate angles).
Also, ∠BAC = 180° - 90° - 3° = 87° (using angle sum property of triangles)
In ΔABC,
tan ∠BAC = BC/AB (tan θ = perpendicular/base)
or, tan 87° = x/200
or, x = 200*tan87° = 200*19.0811 = 3816.22 = 3816.2 (rounding to nearest tenth).
∴ The distance between the fire and the base of the tower is 3816.2 feet.
Learn more about Heights and Distances at
https://brainly.com/question/14361606
#SPJ2
Students recorded the amount of liquid in fluid Ounces each of them drank In one day. The box plot shows the summary of the results. Amount of Liquid (fluid Ounces) Which statement best describes the data represented in the box plot?
Answer: The correct answer would be F. Half the students drank from 78 to 114 fluid ounces.
Step-by-step explanation:
The statement best describes the data represented in the box plot half the students drank from 78 to 114 fluid ounces. The correct option is F.
What is a box plot?A rectangle is created to represent the second and third quartiles, normally with a vertical line inside to indicate the median value, in a simple way of presenting statistical data on a plot.
Given that students recorded the amount of liquid in fluid Ounces each of them drank In one day. The box plot shows the summary of the results. Amount of Liquid (fluid Ounces).
The highest and the lowest limit of the box plot is range from 78 to 114. The statement best describes the data represented in the box plot half the students drank from 78 to 114 fluid ounces.
Therefore, the correct option for the box plot will be F.
To know more about the Box plot follow
https://brainly.com/question/14513996
#SPJ2
What number must be divided by 15 3/4 so that the quotient is 60?
Mary made two 8 ounce drinks each in a separate cup. The first cup has 4 ounces f coffee and four ounces of milk. The second cup has 6 ounces of coffee and 2 ounces of milk. After she stirred the two drinks really well, she took out a third cup that was empty. She poured 2 ounces from the first cup ad 4 ounces from the second cup into the third cup. How many ounces of coffee are in the third cup
Answer:
6 ounces
Step-by-step explanation:
First cup = 4 ounces of coffee + 4 ounces of milk
= 8 ounces drink
Second cup = 6 ounces of coffee + 2 ounces of milk
= 8 ounces drink
She poured 2 ounces from the first cup and 4 ounces from the second cup into the third cup.
Third cup = 2 ounces from the first cup + 4 ounces from the second cup
= 2 + 4
= 6 ounces drink
Ounces of coffee are in the third cup = 6 ounces
write the equation, please.
Answer:
x^2+y^2 = 49
Step-by-step explanation:
This is a circle.
The generic equation of a circle is
(x-h)^2+ (y-k)^2 = r^2
where (h,k) is the center and r is the radius
The center of the circle is at the origin which is (0,0)
The radius is 7
(x-0)^2+(y-0)^2 = 7^2
x^2+y^2 = 49
Answer:
[tex] \displaystyle {x}^{2} + {y}^{2} = 49[/tex]
Step-by-step explanation:
we are given a circle
we want to figure out the equation of the circle
remember that,
[tex] \rm \displaystyle E _{c} : (x - {h)}^{2} + (y - k {)}^{2} = {r}^{2} [/tex]
(h,k) are the centre of the circle
we can clearly see that the centre of the circle is (0,0) and the redious is 7 units
thus substitute:
[tex] \displaystyle (x - {0)}^{2} + (y - 0{)}^{2} = {7}^{2} [/tex]
further simplification is needed:
[tex] \displaystyle {x}^{2} + {y}^{2} = 49[/tex]
and we are done!
guys, please help me!!!!!! I'll give you brainly and a ton of points!
Answer:
31
Step-by-step explanation:
62 / 2 = 31
Answer:
31
Step-by-step explanation:
angle is half of arc
If 4c + 10= 20 -16c, what is 8c?
A line of best fit for a data set has equation y = 3x - 4. What y-value would you predict for an x-value of 8 in this data set?
A 4
B. 8
C. 16
D. 20
Answer:
D. 20
Step-by-step explanation:
The line of best fit for the equation is:
[tex]y = 3x - 4[/tex]
When x = 8
We have to find y. So
[tex]y = 3*8 - 4 = 24 - 4 = 20[/tex]
So the correct answer is given by option D.
Classify this triangle by its sides and angles.
Answer:
right and scalene
Step-by-step explanation:
all the sides are different in length, so it's a scalene triangle, plus, it has a right angle, which makes it a right angled triangle.
What’s the answer to the question -7x + 15 = 36
Answer:
x= -3
Step-by-step explanation:
-7x +15 - 15 = 36 - 15
-7x = 21
-7x ÷ -7 = 21 ÷ -7
x= -3
Answer:
Um.....
-3
Sorry if calculated wrong..
 What is the volume of this cone?
Answer: C
Step-by-step explanation:
how do you solve this?
Answer:
x=110(by vertical opposite angle)
what is the volume to the nearest tenth
A)34.4yds^2
B)34.38yds^3
C)34.4yds^3
D)34.38yds^2
Answer:
A
Step-by-step explanation:
Which expression is equivalent to -7(y-2)?
A. -7y - 2
B. -7y + 2
C. -7y - 14
D. -7y + 14
Answer:
D) -7y + 14
Step-by-step explanation:
-7 x y = -7y
-7 × -2=14 ( negative times negative equals positive)
Select the expression that is equivalent to 48 ÷ 12
A. 6 (8 + 6)
B. 12 (4+1)
C. 4 (44 +3)
D. 8 (6+4)
Given:
Consider the expression is:
[tex]48+12[/tex]
To find:
The expression that is equivalent to the given expression.
Solution:
We have,
[tex]48\div 12[/tex]
It can be written as:
[tex]48\div 12=12\times 4+12\times 1[/tex]
Taking out the GCF, we get
[tex]48\div 12=12(4+1)[/tex]
Therefore, the correct option is B.
Answer:
b. 12 (4+1)
Step-by-step explanation:
hope this helps you {ribbit}
~tsu-chan :p
Help ASAP please! Thank you so much
What is the slope of the graphed line?
Answer:
the numbers aren't clear can you enlarge the screenshot?
Step-by-step explanation:
Answer:
Slope = [tex]- \frac{3}{4}[/tex]
Step-by-step explanation:
1. Choose 2 points from the graph
(0,-1) and (4,-4)
2.) Use this formula: [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]
3.) (-4) - (-1) = -3
(4) - (0) = 4
-3/4
In the figure,Line x is parallel to line y. identify the angles congruent to angle 3
Answer:
For example, slide ∠ 1 down the transversal and it will coincide with ∠2. are equal in measure. If two parallel lines are cut by a transversal, the corresponding angles are congruent. If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.
Step-by-step explanation:
Patriciodeposits $500 in the same account that pays a 1.5% simple interest he does not withdraw any money from the account any makes no other deposits how much money does Patricio happiness saving account after 5 years
Answer: $537.5
Step-by-step explanation:
$500 at 1.5% for 5 years
p x r x t = i
500 x 0.015 x 5= 37.5
37.5+500=537.5
Determine the value of the expression: 5^4 × 5^8/5^6 Write your answer in exponential notation (in exponent form).
Answer:
5⁶
Step-by-step explanation:
We have
[tex]5^4*\frac{5^8}{5^6}\\\frac{x^n}{x^y}=x^{n-y}\\\frac{5^8}{5^6}=5^{8-6}=5^2\\x^n*x^y=x^{n+y}\\5^4*5^2=5^6[/tex]
HELPPPPPPPPPPP
1. Shown are the final scores for Norm Duke in the past eight bowling tournaments.
299, 281, 285, 269, 280, 269, 286, 287
Part A: What is the mean absolute deviation of Norm Duke’s scores?
A.
7.50
B.
7.00
C.
7.25
D.
6.75
Part B: Based on the mean absolute deviation from Part A, who has been the more consistent bowler if Ryan Shafer has a mean absolute deviation of 7?
A.
Norm Duke has been more consistent because his mean absolute deviation is greater than Ryan Shafer’s.
B.
Ryan Shafer has been more consistent because his mean absolute deviation is less than Norm Duke’s.
C.
Ryan Shafer has been more consistent because his mean absolute deviation is greater than Norm Duke’s.
D.
Norm Duke has been more consistent because his mean absolute deviation is less than Ryan Shafer’s.
Answer:
Part A
C. 7.25Part B
B. Ryan Shafer has been more consistent because his mean absolute deviation is less than Norm Duke’s.Step-by-step explanation:
Given data:
299, 281, 285, 269, 280, 269, 286, 287Part AFind the mean of the data above:
(299 + 281 + 285 + 269 + 280 + 269 + 286 + 287)/8 = 282Find absolute deviations, an absolute value of the difference of data and the mean:
299 - 282 = 17 ⇒ 17 281 - 282 = -1 ⇒ 1285 - 282 = 3 ⇒ 3269 - 282 = -13 ⇒ 13280 - 282 = 2 ⇒ 2269 - 282 = -13 ⇒ 13286 - 282 = 4 ⇒ 4287 - 282 = 5 ⇒ 5Find mean absolute deviation:
(17 + 1 + 3 + 13 + 2 + 13 + 4 + 5)/8 = 7.25Correct choice is C
Part BLess mean absolute deviation is the sign of more consistent data.
Since Ryan Shafer has smaller mean absolute deviation, he has been more consistent 7 < 7.25
Correct choice is B.
Find the area of the shape shown below.
Answer:
To find the area break up the shapes:
The rectangle is A = bh which is 7*3 which is 21.
Triangle: A = 1/2(bh)
A=1/2(3*7)
A=1/2(21)
A=10.5
Now add up the areas:
21+10.5
=
31.5
The answer is 31.5 units.
No links!!!
Please help me
Answer:
B one
They only cross once on the graph
Question 5 (1 point)
Find the volume of the sphere. Round your answer to the nearest tenth.
Help me please
Answer: The closest one would be 3052.1
Step-by-step explanation:
Write an equation and solve.
How opd am I if 400 reduced by 2 times my age is 244?
Answer:
78
Step-by-step explanation:
x = your age
400 - 2x = 244
subtract 400 from both sides of the equation:
-2x = -156
divide both sides by -2:
x = 78
Answer: 78
Step-by-step explanation:
x = your age
400 - 2x = 244
subtract 400 from both sides of the equation:
-2x = -156
divide both sides by -2:
x = 78
The cost of a holiday is £2400
Rana pays a deposit followed by monthly payments, in the ratio
deposit : total of the monthly payments = 3:5
She makes 6 equal monthly payments. Work out her monthly payment
She makes 6 equal monthly payments. Then the monthly payment will be £666.67.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The cost of a holiday is £2400. Rana pays a deposit followed by monthly payments, in the ratio deposit: a total of the monthly payments = 3:5.
Then the total of the monthly payment will be given as,
£2400 / Total of the monthly payments = 3:5
Total of the monthly payments = (5/3) x £2400
Total of the monthly payments = £4,000
She makes 6 equal monthly payments. Then the monthly payment will be given as,
Monthly payment = £4,000 / 6
Monthly payment = £666.67
She makes 6 equal monthly payments. Then the monthly payment will be £666.67.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ1
pls answer ASAP pls the quarter ends at 12:00
Answer:
55
Step-by-step explanation:
Answer:
55
Step-by-step explanation:
your trying to make it equal, in order to do that you must do to the top what you did the bottom
11 = ?
20=100
to get from 20 to 100 you multiply by 5 so we multiply the top by 5 to make it equal
11/20x5/5=55/100
2 4/8 - 1 3/4 pls help i got 1 min
Answer:
1 1/8
Step-by-step explanation:
simplify
rewrite the expression in the form a^n
SOMEONE PLEASE HELP I DONT HAVE MUCH TIME ILL MARK YOU BRAINLIST
7. The milligrams of aspirin in a person's body is given by the equation a = 500 - (3/4)
where t is the number of hours since the patient took the medicine.
b. In the equation, what does the 500 tell us about the situation?
c. In the equation, what does the tell us about the situation?
d. Graph the equation for values of t between 0 and 4.
Answer:
a. 281.25 grams
b. The 500 represent the original amount of aspirin.
c. 3/4 tells us what amount of the aspirin remains after every hour.
d's answer is in the picture. Just copy the line.
Step-by-step explanation:
A is the only part that needs any explanation.
Since the t represent hours, I'll subsititute t for 2.
500 * (3/4)²
3/4 squared is 9/16.
500 * 9/16
Multiply 500 by 9 to get 4500.
4500/16
Simplify 4500/16 to 1125/4 (4 is canceled out.)
1125/4
Divide 1125 by 4 to get 281.25
281.25
281.25 grams of aspirin will be in the patient body after two hours.
The volume (V) of a cube is 216 cubic Inches. What is the surface area (S) of the cube?
Answer:
216in^2
Step-by-step explanation:
6*6*6=216
side length is 6
6^2=36
36*6=216