Answer:
JK = 21 ft
Step-by-step explanation:
To find JK = x, apply Trigonometry function.
Reference angle = 65°
Opposite side = JK = x
Adjacent side = KL = 10 ft
Apply TOA:
Tan 65° = Opp/Adj
Tan 65° = x/10
Multiply both sides by 10
10*Tan 65° = x
21.4450692 = x
x = 21 ft (nearest feet)
What am I supposed to do
Answer:
answer is b
Step-by-step explanation:
I'm smart bro
Answer:
b
Step-by-step explanation:
When a particular type of thumbtack is dropped, it will land point up (A flat-top thumbtack resting on its flat top) or point down (A flat-top thumbtack resting on the edge of its flat top and the tip of its needle). This experiment was repeated times with the following results: point up: 48 times; point down: 52 times.
a. What is the experimental probability that a particular type of thumbtack will land point up?
b. What is the experimental probability that a particular type of thumbtack will land point down?
c. If the experiment was tried another 100 times would the same results occur? Why?
d. Is it expected that nearly the same results occur on a second trial? Why?
Answer:
0.48
0.52
No
Yes
Step-by-step explanation:
Result of experiment :
Point up = 48
Point down = 52
Total number of trials = 100
Recall :
Experimental probability = number of outcomes / number of trials
1.)
P(Landing point up) = 48 / 100 = 0.48
2.)
P(Landing point down) = 52 / 100 = 0.52
3.)
The same result will not occur has the outcomes of trials aren't fixed.
4.) Yes, nearly the same result could occur on the second trial, as the number of possible outcubes are just 2 and the number if trials is high.
Solve the following inequality: 3-5x-x^2>=0
Answer:
-5/2+-1/2√37≤x≤-5/2+1/2√37
Step-by-step explanation:
Step 1: Find the critical points
-x^2-5x+3=0
For this equation: a=-1, b=-5, c=3
−1x^2+−5x+3=0
x=−b±√b2−4ac/2a
x=−(−5)±√(−5)2−4(−1)(3)/2(-1)
x=5±√37 /−2
x=-5/2+1/2√37
Step 2: Check intervals in between critical points
x≤-5/2+1/2 √37 (Doesn't work in original inequality)
-5/2+-1/2√37≤x≤-5/2+1/2√37 (Works in original inequality)
x≥-5/2+1/2 √37 (Doesn't work in original inequality)
I need help asap i will give brainlist
PLEASE HELP QUICKLYYYY
9514 1404 393
Answer:
x = 48
Step-by-step explanation:
The sum of the angles in a pentagon is 540°, so you have ...
90° +100° +110° +2x° +3x° = 540°
5x = 240 . . . . . . . divide by °, subtract 300
x = 48 . . . . . . . . . divide by 5
_____
Additional comment
The sum of angles in a convex n-gon is (n -2)×180°. For a pentagon, that's 3×180° = 540°.
Please help will mark BRAINLIEST!
=====================================================
Explanation:
We have n = 5 sides. This means the interior angles sum up to...
S = 180(n-2)
S = 180(5-2)
S = 180(3)
S = 540
All five interior angles of this pentagon add up to 540 degrees.
Which of the following functions is graphed below?
A.y=[x+5]+4
B.y=[x+5]-4
C.y=[x-5]+4
D.y=[x-5]-4
Evaluate + for x = 6, y=-4, and z=-2.
09
0 27
0-9
0-27
Answer:
-27
Hope this helped in anyway
Answer:
the answer to this is -27.
Which statement best describes a strategy for estimating the perimeter of the figure below if the grid squares have side
lengths 1 cm?
Answer:
First one
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Pls help math NO LINKS
If Anna's test grades are 66, 90, and 99, what is her test average?
Answer:
90 because it is the mean
Answer: it’s 83%
Step-by-step explanation: you add them up and divide by 3
You want to buy a pair of shoes that usually cost $100. Today the store is
having a sale: 20% off everything.
You also have a coupon that
promises 10% off the price at the
register. How much do you save? *
Pls help and pls show how you got it! I am very confused.
Thank you
Answer:
You saved $30
Step-by-step explanation:
20% + 10% = 30%
30% = 0.30
$100 * 0.30 = $30
$100 - $30 = $70
Hope this is helpful
You buy items costing $1000 and finance the cost with a fixed installment loan for 30
months at 4% simple interest per year.
a. What is the finance charge?
b. What is your monthly payment?
Answer:
The monthly payments will be $ 36.66, and the finance charge will be $ 100.
Step-by-step explanation:
Since I buy items costing $ 1000 and finance the cost with a fixed installment loan for 30 months at 4% simple interest per year, to determine what is the finance charge and what is my monthly payment, the following calculations must be performed:
1 year = 12 months
30 months / 12 = 2.5 years
(1000 x (1 + (0.04 x 2.5))) / 30 = X
(1000 x (1 + 0.1) / 30 = X
(1000 x 1.1) / 30 = X
1100/30 = X
36,666 = X
Therefore, the monthly payments will be $ 36.66, and the finance charge will be $ 100.
lim┬(x→0)〖(√(1+x+x^2 )-1)/tan5x 〗
Evaluting the limand directly at x = 0 yields the indeterminate form 0/0, so we have a candidate for L'Hopital's rule. We get
[tex]\displaystyle\lim_{x\to0}\frac{\sqrt{1+x+x^2}-1}{\tan(5x)} = \lim_{x\to0}\frac{\frac{1+2x}{2\sqrt{1+x+x^2}}}{5\sec^2(5x)} = \frac{1+2\times0}{2\sqrt{1+0+0^2}\times5\sec^2(5\times0)} = \boxed{\dfrac{1}{10}}[/tex]
If you don't know about L'Hopital's rule, or are otherwise not allowed to use it, you can instead rely on algebraic manipulation and a well-known limit,
[tex]\displaystyle\lim_{x\to0}\frac{\sin(ax)}{ax}=\lim_{x\to0}\frac{ax}{\sin(ax)}=1[/tex]
where a ≠ 0. We write
[tex]\displaystyle\frac{\sqrt{1+x+x^2}-1}{\tan(5x)} = \frac{5x}{\sin(5x)}\times\frac{\cos(5x)}5\times\frac{\sqrt{1+x+x^2}-1}x[/tex]
The limit of a product is equal to the product of limits:
[tex]\displaystyle\lim_{x\to0}\frac{\sqrt{1+x+x^2}-1}{\tan(5x)} = \left(\lim_{x\to0}\frac{5x}{\sin(5x)}\right)\times\left(\lim_{x\to0}\frac{\cos(5x)}5\right)\times\left(\lim_{x\to0}\frac{\sqrt{1+x+x^2}-1}x\right)[/tex]
The first limit is 1 and the second limit is 1/5. For the remaining limit, multiply through the fraction by the conjugate of the numerator:
[tex]\dfrac{\sqrt{1+x+x^2}-1}x\times\dfrac{\sqrt{1+x+x^2}+1}{\sqrt{1+x+x^2}+1} = \dfrac{\left(\sqrt{1+x+x^2}\right)^2-1^2}{x\left(\sqrt{1+x+x^2}+1\right)} \\\cdots= \dfrac{x+x^2}{x\left(\sqrt{1+x+x^2}+1\right)} \\\cdots= \dfrac{1+x}{\sqrt{1+x+x^2}+1}[/tex]
The remaining limand is continuous at x = 0, and its limit is
[tex]\displaystyle\lim_{x\to0}\frac{1+x}{\sqrt{1+x+x^2}+1}=\frac{1+0}{\sqrt{1+0+0^2}+1}=\frac12[/tex]
and hence the original limit is again 1 × 1/5 × 1/2 = 1/10.
2. Which of the following epxressions is a monomial?
a.
3.4x
b. 9-3(5x)+13a
c. 5(2x+l+y)
d. 2a+5(4x)
Answer:
a.3.4x
Step-by-step explanation:
A monomial only had one term
mono is the prefix for one
Lin's father is paying for a $25 meal. He has a 15%-off coupon for the meal. After the discount, a 8% sales tax is applied.
What does Lin's father pay for the meal?
Solve for 20 points and show work
A park is \frac{9}{10} 10 9 mile long and\frac{4}{5} 5 4 mile wide. What is the area of the park?
the answer is [tex]x^{2} \sqrt{x} \leq \geq \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \pi x^{2} \sqrt{x} \frac{x}{y} \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left \{ {{y=2} \atop {x=2}} \right.[/tex]random but marter than einstein
Perimeter of 30 ft in an area of 14 ft what is the length and the width
Answer:
14 and 1
Explanation:
14 + 14 + 1 + 1 = 30
14 x 1 = 14
The perimeter is the sum of all 4 sides. Divide the perimeter in half fo the some of one length and one width:
Length + width = 15
Area is length x width
Find 2 numbers that when added equal 15 but when multiplied equal 14
15 + 0 = 15, 15 x 0 = 0
14 + 1 = 15, 14 x 1 = 14
The answer is 14 ft long by 1 ft wide
HELPP PLZ DONT SEND A FILE WHATS THE ANWERS ASAP
The answer is 2990.8 yd
Formula for SA of cylinder: 2*pi*r*h+2*pi*r^2
Formula for radius: diameter/2
Plug the radius, 17, height, 11, and pi, 3.14, into the formula above.
= 2990.8 yd
Answer:
Step-by-step explanation:
It's 5
how much is 1/20 of 1/8 of 1600
Answer:
10
Step-by-step explanation:
( 1 / 20 ) x ( 1 / 8 ) x 1600
= ( 1 / 20 x 8 ) x 1600
= ( 1 / 160 ) x 1600
= 1600 / 160
Answer:10
Step-by-step explanation:
1/20 x 1/8 x 1600 = 10
= 10
Someone please help me
Answer:
David had x amount of M&M's. He then ate 15 of them for snack. Now David only has 35 M&M's left. How many M&M's did David have in the beginning?
Step-by-step explanation:
Answer:
X= 20
Step-by-step explanation:
Hannah has 35 marbles. Hannah gives away 15 marbles. How many marbles does Hannah have left? Solve the equation X- 15=35.
Bob has been alive for 21,900 days. How old is Bob?
Answer:
32 Years, 7 Months, 2 Days old
Step-by-step explanation:
PLEASE HELP IM SO STUCK!
Answer:
x = 30
Step-by-step explanation:
The angle in the bottom right is 120
Call is y
y+60 = 180
y = 180-60
y =120
Opposite angles in a parallelogram are equal so the upper left angle is 120
Call the 3x +z = 120
We also know that 2x+90 +z = 180 since it forms a straight line
Subtract 90 from each side
2x+z = 90
Using 3x+z = 120 and 2x+z =90 and subtracting the second equation
3x+z = 120
-2x-z =-90
------------------
x = 30
If asphalt pavement costs $0.78 per square foot, determine, to
the nearest cent, the cost of paving the shaded circular road
with center o, an outside radius of 50 feet, and an inner
radius of 36 feet.
Answer:
2590.33
Step-by-step explanation:
...............
Do anybody know this ???
Answer:
option D
Step-by-step explanation:
18 1/5 + 22 2/5 +40 1/5
whats the missing number
Answer:
5Step-by-step explanation:
X * 3^2 +2 = 47
X * 9 + 2 = 47
9X = 47 - 2
9x = 45
x = 45 : 9
X = 5
HELPPP MEEEE PLEASEEE I DONT WANNA FAIL SUMMER SCHOOL NO FILES OR LINKS WOULD BE DEEPLY APPRECIATED
it wouldnt let me type the answer-
What is the equation of the graph shown above
One side of triangle is 5x-2 another side is 6x+7 and t is the length of third side then what is true about length of t
Answer:
[tex]t = \sqrt{ {(5x - 2) {}^{2} + (6x + 7)}^{2} } [/tex]
(a+4)(a-2) please help
Answer:
a²+2a-8
Step-by-step explanation: