The angle of elevation of the top of a tower from two points 121 m and 144 m away from the foot of the tower on th same side are found to be complementary. find the height of the tower.
Answer:
132 m
Step-by-step explanation:
Refer to attachment for figure.
In smaller triangle with angle theta , we have ,
⇒ tanθ = p/b
⇒ tanθ = h/121m
⇒ tanθ = h/121 m
In triangle with angle 90-∅
⇒ tan(90-θ) = p/b
⇒ cot θ = h/144 m
Multiplying these two ,
=> tanθ . cotθ = h/121 m × h/144m
=> 1 = h²/ (121 m × 144m )
=> h² = 121m × 144m
=> h= √ ( 121m × 144m)
=> h = 11m × 12m
=> h = 132 m
A bank charge 5.25672% annual percentage rate on a home mortgage . What is this number rounded to the nearest tenth ?
A.5.1
B.5.25
C.5.3
D.6
Answer:
C. 5.3
step by step explanation:
Answer:
C. 5.3
Step-by-step explanation:
PLEASE HELP!! Find the circumference of circle K. Round your answer to the nearest hundredth. Circumference = ft
Answer:
12.57 ft
Step-by-step explanation:
Since triangle ∆EFH is a right angled triangle,side |EF| can be determined by
Sin© = Opposite side ÷ hypothenus side where © is the given angle in the triangleSin 60 = 2✓3 ÷ |EF||EF| = 2√3 ÷ sin 60|EF| = 2√3 ÷ 0.8660|EF| = 4ftSince Line |EF| is a straight line that passes through the centre of the circle and touch two sides of the circumference,
line |EF| is the diameter of the circle
Circumference = 2πr where r = radiusradius = diameter ÷ 2radius = 4 ÷ 2radius = 2 ftCircumference = 2πr Circumference = 2 × 22/7 × 2Circumference = 12.57 ftCircumference = 12.57 ftKendra spends $15 buying fabric to make baby blankets.She can make 4 blankets from one pice of fabric.If she sells the blankets for $10 each٫what is her profit?
Answer:
her profit is $25
Step-by-step explanation:
Given that
She spends $15 for purchasing fabric so that she make the baby blankets
And, she can make 4 blankets from one piece of fabric
Now she sold the blankets for 10 each
So we need to find out the profit
As we know that
Profit = Selling cost - purchasing cost
= (4 × $10) - $15
= 40 - $$5
= $25
hence, her profit is $25
What is the value of x?
Enter your answer in the box.
Answer:
183
Step-by-step explanation:
982
Answer:
45
Step-by-step explanation:
You can use the degrees to find the answer. A right triangle always adds up to 180 degrees. The right angle is 90 degrees.
X + Angle A + Angle B = 180 degrees.
Substitute.
X + 90 degrees + 45 degrees = 180 degrees.
Add them up.
x + 135 degrees = 180 degrees.
now subtract 135 from both sides.
x = 45
WILL GIVE BRAINLIESTTTT and 13 points
HELPPPPPPP
ONLY QUESTION B)
Answer:
2(n+1)+2
You start with two greens and two columns of two orange squares while adding two orange squares each time. So, the bolded part is the green squares that stay the same. The 2(n+1) represents the two orange columns that increase by one block on each side per image.
Find the missing side.
Need help please. Need explanation, please.
Answer: x = 4.37 (rounded)
Step-by-step explanation:
Using the tangent rule.
tan = opposite side/ adjacent side.
I recommend Khan Academy for more practice on this topic.
0. The mean of the numbers 4, 3, 3, x is 5
Find x.
A. 20
B. 10
C. 5.
D. 4
Answer:
x = 10.
Step-by-step explanation:
From the definition of the mean:
(4 + 3 + 3 + x) / 4 = 5
4 + 3 + 3 + x = 20
x + 10 = 20
x = 10.
What negative integer divided by positive 5 would = -6
Answer:
-30
Step-by-step explanation:
multiply 5*6 =30
since you are working with only one negative number the answer is also negative
PLEASE HELP!!! 30+ POINTS
Use the following data to construct a frequency table and calculate the mean, mode, and median.
Answer:
A measure of average is a value that is typical for a set of figures. Finding the average helps you to draw conclusions from data. The main types are mean, median and mode. Data is also often grouped.
Step-by-step explanation:
To find the mean add all the ages together and divide by the total number of children.
If you type all those ages into a calculator it is easy to make an error.
PLEASE HURRY I REALLY NEED TO TURN IT IN
Answer:
55
Step-by-step explanation:
Put the one shape and split it into two other shapes. A square and a triangle.
find the areas of both of the shapes and add them together.
5×5=25
5×12=60/2 = 30
25+30=55
Answer:
55 units²
Step-by-step explanation:
The area of this shape would be the area of a square with sides 5 and a triangle with a base of 5 and a height of 12
To find the area of this shape, add the area's of the two shapes
This would be written as:
[tex]5^{2} +\frac{5*12}{2} \\ =25+(5*6)\\ =25+30\\= 55[/tex]
PLEASE HELP GEOMETRY PLEASE! SHOW WORK!!
Answer:
x = 106.5
Step-by-step explanation:
0.4695 = 50/x
0.4695x = 50
x = 106.5
Can someone please help me with math.
A theater charges $7 for adult tickets and $4 for student tickets. A large group purchased 20 tickets and paid $128. How many adult tickets did they purchase?
Answer:
the perchase :112 is the gratest nb that give an natural nb 112 ÷7 =16 adult ticket with 16 ÷4 = 4 student ticket
Should you use Sine, Cosine, Tangent to solve the following problem
Answer:
tangent
Step-by-step explanation:
SOH( sin = opposite/hypotenuse)
CAH(cosine = adjacent/hypotenuse)
TOA(tan = opposite/adjacent)
you are trying to find x and the numbers given to you are opposite of x and adjacent to x. that means you need to use toa
We will use Tangent of the angle.
What is Tangent of the angle?In trigonometry, the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.
Given that, a right triangle, with perpendicular = x and an acute angle = 28° and base = 14
Since, we know that, tan α = opposite side / adjacent side
In other two trigonometric ratios, we need the length of hypotenuse, which is not given.
Hence, We will use the Tangent of the angle.
Learn more about tangent, click;
https://brainly.com/question/19064965
#SPJ2
Foroepwpapqdlkodwoaqqaddeddffffff
Answer:
lol what
Step-by-step explanation:
The value, V(t), of a baseball card increases according to the function V(t) = P(1.045)', where P is the purchase price of the
baseball card and t is the time, in years since the card was purchased. By what percent does the value of the card increase each
year'?
1 4.5%
2 45%
3 95.5%
4 145%
The Percentage increase in the purchase price each year is 4.5%.
The given function is:
[tex]V(t)=P(1.045)^t[/tex]
Where P is the purchase price of the baseball card and t is the time.
What is a function?A function is a rule that establishes a relation between two variables.
[tex]V(1)=P(1.045)^1\\V(1)=1.045P[/tex]
[tex]V(2)=P(1.045)^2\\V(2)=1.092025P[/tex]
Percentage increase in the purchase price each year
=[tex]\frac{V(2)-V(1)}{V(1)} *100[/tex]
[tex]=\frac{1.092025P-1.045P}{1.045P} *100[/tex]
[tex]=4.5%[/tex]%
Hence, the Percentage increase in the purchase price each year is 4.5%.
To get more about functions visit:
https://brainly.com/question/2833285
The second hand on a clock is 8 cm long.
What is the distance the tip of the second hand travels in 10 minutes?
Round your answer to the nearest cm.
Answer:
502cm
Step-by-step explanation:
brainliest maybe?
Answer:
502cm
Step-by-step explanation:
Checked on Khan
A tree casts a shadow that is 150 feet long. If the angle of elevation is 30 degrees, how tall is the tree?
Translate this sentence into an equation. 53 is the sum of 10 and Malik's savings. Use the variable m to represent Malik's savings.
Answer:
m+10=53
Step-by-step explanation:
maliks savings=43
2 in.
2 in.
2 in.
Fine the area
hi!!! due in 10 mins so please help!!!!
n^2 + 10n + 25 can be factored as (n+5)^2 , so yes
9x^2 - 24x + 26 can be factored as (3x-4)^2, so yes
What is the definition of the slope of a line?
Someone help NO LINKS/WEBSITES PLZ and I will mark brainiest if it’s right :)
Answer:
I think it would be B) 47. Sorry if wrong
Step-by-step explanation:
ANSWERS FOR THESE PLEASE DOESNT HAVE TO BE ALL OF THEM
Step-by-step explanation:
y-intercept: first one is -6
slope:
(-6,0) (0,-3)
-3-0/ 0- -6 = -3/6 = -1/2
3. TBD
4. slope is 3/6 = 1/2
y - 3 = 1/2(x-2)
y = 1/2x +2
5. -4/2 = 2 slope
y-2 = 2(x-3)
y = 2x -4
Plot the value(s) on the number line where this function is equal to zero:
f(x) = (x + 5)(x − 1).
Step-by-step explanation:
if f(x)=0
then
(x+5)=0 and
(x-1)=0
solve for x
x=-5 and x=1
those are the two values where the function equals zero
Hope that helps :)
Answer:
Step-by-step explanation:
Hope this Helps ;)
what is the sum of 3,3,6
Answer:
12
Step-by-step explanation:
Sum means addition. 3 + 3 + 6 = 12
Answer:
12
Step-by-step explanation:
i hope this is what you meant
A car rental company sells accident insurance to 22% of its customers. Out of 350 customers, about how many customers are predicted to purchase insurance?
Answer:
77 customers
Step-by-step explanation:
Given data
Percentage of customers= 22%
Total customers= 350
Let us find 22% of 350
=22/100*350
=0.22*350
=77 customers
pls answer correctly :)
I literally just did this its B
how do you solve 25 and 2/3 when 2/3 is the exponent of 25
Answer:
Step-by-step explanation:
Im not fully sure about what your asking
If you are attempting to search the answer use ^ than parentheses, 25^(2/3)
If you want to know what 25 to the power of 2/3 is, it is 8.549
Answer to comment:
for fractions the numerator will become the square amount and the denominator will become the sqrt so
25^(2/3)= 25^2=625 = cube root of 625
(i dont know how to get the root symbol in on this so image cube root is just 3 then the root symbol)