Answers
Answer:
EH = 13 in
Step-by-step explanation:
Angle between a tangent and radius is right, that is
∠ EBH = 90° and so Δ EBH is right
Using Pythagoras' identity in the right triangle
EH² = BE² + BH² = 5² + 12² = 25 + 144 = 169 ( square root both sides )
EH = [tex]\sqrt{169}[/tex] = 13
Related Questions
Find the value of x.
Round to the nearest tenth.
16
30°
30
x = [?]
Answers
Answer:
X=18.0
Step-by-step explanation:
It says round to the nearest tenth, which is 1 digit after the . Even though 18.02 is correct it wants you to round so X= 18.0
Final answer is X=18.0
The value of x is 18.0 rounded to nearest tenth.
What is a cosine law?Cosine law is a formula relating the length of the sides of a triangle to the cosine of one angle of the triangle.
u² = s² + t² - 2(s)(t)·cos U
We are Given Triangle with sides, 16, 30, and x, and a measure of an angle corresponding to x = 30°
Required: Value of x to the nearest tenth
Using the Cosine rule:
c² = a² + b² - 2abcos(C)
Let c = x, a = 16, b = 30
C = 30°
Thus,
c² = 16² + 30² - 2 x 16 x 30 x cos 30°
c² = 256 + 900 - 960 x 0.8660
c² = 1,156 - 831.36
c² = 324.64
c = √324.64
c = 18.017769
x ≈ 18.0 (rounded to nearest tenth)
Learn more about Cosine rule;
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Rocky pays a flat rate of $5 per month plus $0.10 per minute for
his long-distance phone plan. He wants his total monthly bill to be
less than $20.
Need Help
Answers
20-5=15
15/.10=150
150-1=149
15-.10=14.9
14.9+5=19.9
So the maximum number of calls he can make is 149 a month
A sketch of a new dog park in town is shown below. How many square feet will the dogs have to roam
and play?
Answers
Answer:
they will have 432 ft to play
Question 4
12 marks
4.1 a. In each case find the unit cost and then state which is the better buy.
4 marks
6kg of potatoes for $2.45 or
15 kg of potatoes for $5.9 or
10 kg of potatoes for $3.92?
Answers
Answer:
The better buy is to buy 10 kilograms of potatoes at $ 3.92, since each kilogram costs $ 0.392.
Step-by-step explanation:
To find the cost per unit in each case and then state which is the better buy, the following calculations must be performed:
6kg of potatoes for $ 2.45:
2.45 / 6 = 0.408
15 kg of potatoes for $ 5.9:
5.90 / 15 = 0.393
10 kg of potatoes for $ 3.92:
3.92 / 10 = 0.392
Thus, the better buy is to buy 10 kilograms of potatoes at $ 3.92, since each kilogram costs $ 0.392.
What is the average age of the porcupines at your zoo? What is the standard deviation? Round your answers to the nearest tenth.
Answers
Answer:
is there a pic?
Step-by-step explanation:
a rectangular garden will be fenced on all four sides. If 120 ft. of fencing are available, what should be the dimensions of garden to maximize the area? What is the maximum area
Answers
Answer:
30 by 30. Area=900
Step-by-step explanation:
The dimensions of the garden to maximize the area are length + width = 60 and the maximum area is 900 ft².
A rectangular garden will be fenced on all four sides.
120 ft. of fencing is available, what should be the dimensions of the garden to maximize the area and What is the maximum area to be determined.
The rectangle is a four-sided polygon whose opposites sides are equal and has an angle of 90° between its sides.
The perimeter of the rectangle = 120
Perimeter = 2 (length + width)
120 =2(length + width)
length + width = 120/6
length + width = 60 - - - -(1)
So, the sum of the sides of the rectangle should not increase by 120.
Now, the Maximum area of a rectangle,
Let Length = width
Equation 1
Length + Length = 60
length = 60/2
length = 30 = width
Area of the rectangle = length * width
= 30 * 30
= 900 ft²
So the maximum area of the rectangle is 900ft²
Thus, the dimensions of the garden to maximize the area is length + width = 60 and maximum area is 900 ft².
Learn more about rectangles here:
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PLSSSSS HELP I WILL GIVE BRAINLIEST TO CORRECT ANSWER
Answers
A: 49
B:45
C: 20.1
D:114
(3x-11)+(6x-10)+x=180
10x-21=180
10x=201
x=20.1
(I think I did that right)
Pls help ASAP math plsssss
Answers
Answer:
ASAP meaning as soon as possible
Answer:
y= 1.4x + 7
Step-by-step explanation:
y= mx + b
m = rise over run = 7/5 = 1.4
the y intercept is 7, this is our b
If a punch bowl hold 216 ounces of punch how many 8 ounce glasses can be filled from the punch bowl
Answers
Answer:
27 glasses
Explanation:
216 divided by 8 is 27
Fred helped his mom make 40 dozen cupcakes for the last bake sale. For this sale, he is going to help make 20% more cupcakes. How many dozen cupcakes will Fred and his mom make?
Answers
Answer:
48 dozen cupcakes
Step-by-step explanation:
20 percent more is 120 percent overall, which as a decimal is 1.2. Multiply 40 by 1.2 and you have your answer.
1.2 * 40 = 48
Hopefully this helps- let me know if you have any questions
A female rabbit can give birth to over 40 baby rabbits a year. Suppose all of her offspring survived and reproduced, all of their offspring survived and reproduced, and so on. If that happened, in only eight years the mass of rabbits would exceed the mass of Earth!
So, why aren’t we overrun with rabbits? What keeps the rabbit population in check?
(It says Mathematics because I couldn't find the right subject!)
Answers
Answer:
rabbit predators >:)
Step-by-step explanation:
Which statement best describes the effect on a image when it is reflected over the x axis
Answers
Answer:
Vertical flip
Please help ! I don’t get it!
Answers
Answer:
PR = 16
SR = 12
Step-by-step explanation:
6/8 = (x-3)/(x+1)
8x-24 = 6x+6
simplify
2x = 30
x = 15
PR = 15 + 1 = 16
SR = 15 - 3 = 12
Find the errors and correct the following mathematical sentences.
Answers
Answer:
This is your answer
How many total hours did the girls spend cleaning their home
Answers
Answer:
it should be 12
Step-by-step explanation:
because 3x4=12
Answer: 12
Step-by-step explanation: each girl spent 3 hours cleaning, their was 4 girls so 4 x 3 = 12
Can you explain to me how to do these multiplications please?
Answers
(3•2)= 6•1= 6
(2•1)= 2•3= 6
(1•3) = 3•2 = 6
2•3•5 = 30 - same thing as before
(2•3) = 6•5 = 30
(3•5) = 15•2 = 30
(2•5) = 10•3 = 30
4•2•7 = 56 -
(4•2) = 8•7 = 56
(7•4) = 28•2 = 56
(7•2) = 14•4 = 56
3•3•2 = 18 -
(3•3) = 9•2 = 18
(3•2) = 6•3 = 18
Typically you would go from left to right, but any way gets you to the same place. You just multiply the first two numbers then multiply the product of the final value
Hope this helps, have a good day
Problem
Evaluate 6 + x when x = 3
Answers
Answer:
9
Step-by-step explanation:
6+x x=3
6+3=9
Write an algebraic expression for each:
the sum of a number and 45
12 more than a number
the difference of 1 and a number
13 subtracted from a number
Answers
Answer:
X + 45
X + 12
1 - x
X - 13
Step-by-step explanation:
Using the keywords sum of, more than, and subtracted will help you. (You can also flip the expression since it didn't say how.
True or False.
The expressions 3 + y and 1/3 (6 + y) are equivalent?
Answers
Answer:
false
Step-by-step explanation:
consider y = 3
its 6 for one and 3 for the other
What is the value of pi to the hundred-thousands place. (Answer quickly going for 45 points)
Answers
Answer:
3.14159
Step-by-step explanation:
pi
So I have a grade of 100.6 (an A+) and I had this assignment that was due a while ago (that was 15 points) and now I’m not allowed to turn it in. What would be my grade now that I didn’t do that assignment?
Answers
Answer:
maybe an 80 or 90
Step-by-step explanation:
What is the problem 3/2 X h = 2
Answers
Answer:
h = 4/3
1/2 of 4/3 is 2/3
4/3 + 2/3= 6/3, or 2
What is the circumference of the circle with a radius of 31
Answers
Answer:
circumference = 194.68
Step-by-step explanation:
c = π2r
c = (3.14)(2)(31) = 194.68
What is the equation of the line with slope 13 and y intercept-6
Answers
Answer:
y = 13x - 6
Step-by-step explanation:
Hope This Helps ;)
Plz Mark Brainliest!!!
I really need help on this!
Answers
hii! i just wanted to say hope you're having a fantastic day and hope that things are going well (: stay strong and stay safe!
You know that O and M are congruent because of NM and NO being congruent. You also know NMO = 180. So after substitution it’s 12y-24=180
What solid would be created by rotating the figure above about line m?
Cone
Triangular Pyramid
A good ol' triangle
Triangular Prism
PLEASE HELP ILL GIVE BRAINLIEST!!
Answers
Answer:
Step-by-step explanation:
Since it is ROTATED about the vertical line a cone is formed.
I’m confused on this one I have one more
Answers
Answer:
because the diagonals are congruent, you're going to set them equal.
2x+13=4x-1
13=2x-1
14= 2x
x=7
it's that easy
One grocery clerk can stock a shelf in 25 min. A second clerk requires 45 min to stock the same shelf. How long would it take to stock the shelf if the two clerks worked together?
Answers
Answer:
clerk A and clerk B can simultaneously stock a shelf in 180/13 minutes
Step-by-step explanation:
Let the first clerk be A and the second clerk be B
A can stock a shelf in 20 min
B can stock a shelf in 45 min
Consider the complete work to be W
A’s rate of stocking = per minute
B’s rate of stocking = per minute
When, A and B work simultaneously, rate of work done =
Total work done simulatenously = 180/13
Therefore, clerk A and clerk B can simultaneously stock a shelf in 180/13 minutes
Answer:
Step-by-step explanation:
The rate of each clerk is 1/25 and 1/45 respectively so together they can stock the shelf
t/25+t/45=1 (the least common multiple of 25 and 45 is 225)
t/25(9/9)+t/45(5/5)=1
(9t+5t)/225=1
9t+5t=225
14t=225
t=225/14 min
t=16 minutes (rounded to nearest minute)
( or 16 minutes and about four seconds :) )
What is the CIRCUMFERENCE of this pie?
Give an approximate answer by using 3.14 for π.
SHOW YOUR WORK!
Answers
Steps:
Circumference = 2πr
r = radius
8.1/2 = 4.05
2π(4.05) = 25.434 in
The series converges by the Limit Comparison Test. Each term is less than that of a convergent geometric series. The series converges by the Limit Comparison Test. The limit of the ratio of its terms and a convergent p-series is greater than 0. The series diverges by the Limit Comparison Test. Each term is greater than that of the divergent p-series. The series diverges by the Limit Comparison Test. The limit of the ratio of its terms and the harmonic series is greater than 0.
Answers
Answer:
hello your question has some missing information attached below is the complete question
answer : The series diverges by the Limit Comparison Test. The limit of the ratio of its terms and the harmonic series is greater than 0.
Step-by-step explanation:
steps to determine if the series converges
step 1 : apply series limit comparison test
step 2 : consider Cauchy's convergence condition ; which states that ∑an converges if and only if for every ∈ > 0 there is a natural number N
attached below is the detailed solution