Answers
28 = (45 + KL)/2
56 = 45+ KL
KL = 56-45
KL = 11
Related Questions
A blimp is 1300 meters high in the air and measures the angles of depression to two stadiums to the west of the blimp. If those measurements are 71.9° and 27.1°, how far apart are the two stadiums to the nearest meter?
Answers
Answer:
Step-by-step explanation:
tanα=height/distance
tanα=h/d
d=h/tanα so
d1=h/tanα and d2=h/tanß
Then the distance between them is:
d=h/tanß-h/tanα, we know that h=1300, α=(90°-71.9°=18,1°), and ß=90°-27.1°=62.9°) so
d=(3100*tan62.9)-(3100*tan18.1) meters
d≈2116 (to nearest meter)
Which of the following triangles are right triangles? Check all that apply
A triangle with side lengths 4, 5, 6
A triangle with side lengths 6 inches, 8 inches, 10 inches
A triangle with side lengths 8, 15, 17
A triangle with side lengths 5, 12, 13
Answers
a^2 = b^2 +c^2, with the longest side:
No: 6^2 = 4^2 + 5^2
Yes: 10^2 = 6^2 + 8^2
Yes: 17^2=15^2+8^2
Yes: 13^2 = 12^2 + 5^2
All but the first are right triangles. Check the 2nd, 3rd and 4th!
In this exercise we have to apply the Pythagorean theorem to know that it is possible to form a certain triangle, so we have:
A) No
B) Yes
C) Yes
D) Yes
Knowing that the Pythagorean theorem is given by:
[tex]a^2 = b^2 +c^2[/tex]
They are putting the values informed we have:
A) [tex]6^2 = 4^2 + 5^2[/tex]
B) [tex]10^2 = 6^2 + 8^2[/tex]
C) [tex]17^2=15^2+8^2[/tex]
D) [tex]13^2 = 12^2 + 5^2[/tex]
See more about triangles at brainly.com/question/25813512
Take 2y 2 - 3y - 5 from y 3 - 6y 2 + 5y. Select the correct answer. y3 - 2y2 + 3y + 5, y3 - 4y2 + 2y - 5, y3 - 4y2 + 2y + 5, y3 - 8y2 + 8y + 5.
Answers
Answer:
[tex]y^3 - 8y^2 + 8y+5)[/tex]
Step-by-step explanation:
Take [tex]2y^2 - 3y - 5[/tex] from [tex]y^3 - 6y^2 + 5y[/tex]
Subtract [tex]2y^2 - 3y - 5[/tex] from [tex]y^3 - 6y^2 + 5y[/tex]
[tex]y^3 - 6y^2 + 5y-(2y^2 - 3y - 5)[/tex]
Multiply negative sign inside the parenthesis
[tex]y^3 - 6y^2 + 5y- 2y^2 + 3y +5[/tex]
Combine like terms
[tex]y^3 - 8y^2 + 8y+5[/tex]
Answer:
Step-by-step explanation: y3 - 8y2 + 8y + 5 (Take 2y 2 - 3y - 5 from y 3 - 6y 2 + 5y. Select the correct answer.)
The surface area of a sphere
324 square centimeters. What is volume in cubic centimeters, of the sphere? Express your answer in terms of pi
Answers
The surface area of the sphere is SA = 324π cm².
Calculate the surface area of the sphere by using the formula: SA = 4πr².
To find the value of r, substitute SA = 324π in the above formula.
324π = 4πr²
81 = r²
r = ± 9.
The measurements of the sphere cannot be expressed in negative sign.
The radius of the sphere is r = 9 cm.
Calculate the surface area of the sphere by using the formula: V = (4/3)πr³.
Substitute r = 9 in the above formula
V = (4/3)π 9³ = 972π cm³.
Mr. James has cylindrical beakers that measure 4 inches in diameter and are 9 inches high. What is the volume contained within the beakers? Use 3.14 for pi. Round your answer to the nearest hundredth. 56.52 cubic inches 100.34 cubic inches 113.04 cubic inches 226.08 cubic inches
Answers
The radius is half of the diameter. Since Mr. James' beakers have a diameter of 4, their radius would be 2. 2 squared is 4.
Their height is 9 inches.
V = 3.14•4•9
V = 3.14•36
V = 113.04
The answer is C, or 113.04 cubic inches.
The answer is C, or 113.04 cubic inches.
This prism has a volume of 112 cm3. What would the volume of the prism be if each dimension was doubled?
(Scale factor is 2)
224 cm3
896 cm3
448 cm3
336 cm3
Answers
If each dimension was doubled, the volume of the prism would be: B. 896 cm³.
What is a scale factor?In Geometry and Mathematics, a scale factor simply refers to the ratio of two corresponding side lengths in two similar geometric figures such as pentagons, which can be used to either horizontally or vertically enlarge (increase) or reduce (decrease or compress) a function that represents their size.
In Geometry, the scale factor of the dimensions of a geometric figure can be calculated by using the following formula:
Scale factor of volume = (Scale factor of dimensions)³
Scale factor of volume = (2)³
Scale factor of volume = 8
Therefore, the new volume is given by;
New volume of prism = 112 × 8
New volume of prism = 896 cm³.
Read more on scale factor here: brainly.com/question/29967135
#SPJ2
Which is the best approximation for the value of √140?
A.11
B.12
C.70
D.72
Answers
so answer
best approximation for the value of √140
B.12
Answer:
12
Step-by-step explanation:
because if you put it all together it will equal 12
Fiona decides to join a gym for a minimum of one month to train for a triathlon. The gym charges a joining fee of $100 and a monthly fee of $38. If x represents the number of months that Fiona is a member of the gym, the equation below can be used to determine C, her total membership fee for that duration of time: 100 + 38x = C Fiona has allocated a maximum of $328 to spend on her gym membership. Which number line shows the possible number of months that Fiona can be a member of the gym?
Answers
[tex]100+38x=328 [/tex]
[tex]328-100=38x[/tex]
[tex]228=38x[/tex]
[tex]x= \frac{228}{38} [/tex]
[tex]x=6[/tex]
The number line that shown the value of x=6 is the answer
Answer:
x = 6
Step-by-step explanation:
Given : Fiona decides to join a gym :
A joining fee of $100
A monthly fee of $38
x represents the number of months.
Fiona has allocated a maximum of $328 to spend on her gym membership
Her total membership fee for that duration of time: 100 + 38x = C
Solution :
It is given that Fiona has allocated a maximum of $328 to spend
So, C = $328
Putting this value in equation 100 + 38x = C
⇒[tex]100+38x=328[/tex]
⇒[tex]38x=328-100[/tex]
⇒[tex]38x=228[/tex]
⇒[tex]x=\frac{228}{38}[/tex]
⇒[tex]x=6[/tex]
Thus, x = 6 is number line that shows the possible number of months that Fiona can be a member of the gym.
Why might algebra tiles not be a good tool to use to factor x2 + 18x + 80? Explain.
Answers
Algebra tiles are used to factorize a polynomial. The factorization of the given trinomial will be very difficult to perform using the algebra tiles due to the large number of tiles used.
The given quadratic polynomial or trinomial is [tex]x^2 + 18x + 80[/tex].
The algebra tiles required to solve the given trinomial are,
1 x-squared tile.18 x-tiles.80 unit tiles.So, the total number of times required will be 1+18+80 or 99 tiles.
Now, it will be very difficult to drag or arrange so many tiles on the board. Also, the space could be a problem in this case.
Therefore, the factorization of the given trinomial will be very difficult to perform using the algebra tiles due to a large number of tiles used.
For more details, refer to the link:
https://brainly.com/question/16865029
Geometry Question Please Help!!!!
Answers
We have the vertex is (-3,-2) so we have [tex]h=-3[/tex] and [tex]k=-2[/tex]
Substituting -3 and -2 into the [tex]f(x)[/tex]
[tex]f(x)=a(x--3)^{2}+(-2) [/tex]
[tex]f(x)=a(x+3)^{2}-2 [/tex]
Hence, the correct answer is option D
Simplify the expression. Type your answer in the blank.
-
Answers
The negative value of 13 is -13.
Final answer: -13
example: |3|=3 and |-3|=3
so
-|-13|=-13 because
-|-13|=(-1)(|-13|)=(-1)(13)=-13
Read the following statement: If two angles are acute, their sum is never a straight line. The hypothesis of the statement is:
their sum is never a straight line.
two angles are acute.
If two angles are acute they are straight lines.
None of the choices are correct.
Answers
The correct option is (3).
What is acute angle?An acute angle is defined as an angle that measures less than 90 degrees that is measure between 0° to 90°.
Given that if two angles are acute, their sum is never a straight line.
The hypothesis of this would be the one which would satisfy the opposite of the given statement
1) their sum is never a straight line which is Incorrect.
2) two angles are acute which is incorrect because this is given.
3) If two angles are acute they are straight lines which is right.
Hence, the correct option is (3).
Learn more about acute angle here
https://brainly.com/question/10334248
#SPJ2
The GCD(a, b) = 6, the LCM(a, b)=180. Find the least possible value of a+b.
Answers
least common multiple is 180
hmm
(note: I spent like 30 mins trying to use a math only of finding the values but it didn't work so I did a force brute and elimination method explained below)
so
a and b must be multiples of 6
so list all the multiples of 6
wait
180=6*30 and 30's factors are 1,2,3,5,6,10,15,30 so only list the numbers that are the result of multiplying 6 and any of those numbers in that list (so we can have the lcm of 180)
so
6*1=6
6*2=12
6*3=18
6*5=30
6*6=36
6*10=60
6*15=90
6*30=180
these are our possible candidates for the 2 numbers
now we must find the pair that has a GCD of only 6
doing the math is long and tedious so do it yourself (trial and error)
we see that our choices that fulfill both requirements (GCD of 6 and LCM of 180) are
90&12
60&18
30&36
sum them to find the least one
90+12=102
60+18=78
30+36=66
the least possible sum is 66
Given the equation 5x + 23 = − 2x − 12, which order of operations completely solves for x?
a.Subtract 5x, then subtract 23, lastly divide by −7
b. Subtract 2x, then add −23, lastly divide by 7
c.Add 5x, then subtract 12, lastly divide by 7
d. Add 2x, then subtract 23, lastly divide by 7
Answers
the other answers would be incorrect because
you are supposed to subtract what's positive and add what's negative
Anyway, this would leave us with two possible answers ( a and d)
A house is 50.0 ft long and 26 ft wide and has 8.0-ft-high ceilings. what is the volume of the interior of the house in cubic meters and in cubic centimeters? 290
Answers
V = Area of base * Height
The area of base is also rectangular because of the given length of 50 ft and a width of 26 ft. Thus, the area of the rectangular base is
Area of base = 50 ft * 26 ft = 1,300 ft²
Then, we use the height which is equal to 8 ft to finally determine the volume.
Volume = (1,300 ft²)(8 ft)
Volume = 10,400 ft³
Whats the perimeter of a rectangle with length 12 m and width 5m
Answers
P = 2 (17)
P = 34 m
hope it helps
Use the horizontal line test to identify the relation whose inverse is not a function.
Answers
The graph 3 whose inverse is not a function.
What is an inverse of a function?The inverse function agrees with the resultant, operates and reaches back to the original function. If you consider functions, f and g are inverse, f(g(x)) = g(f(x)) = x.
Horizontal Line Test :-
Let f be a function. If any horizontal line intersects the graph of f more than once, then f does not have an inverse. If no horizontal line intersects the graph of f more than once, then f does have an inverse.
So, according to the definition, the only graph which follows the rule of horizontal lines test is the graph 3.
Hence, the graph 3 whose inverse is not a function.
Learn more about inverse of a function, click;
https://brainly.com/question/17872426
#SPJ2
By using the horizontal line test, a relation whose inverse is not a function is: D. relation D.
In Mathematics and Euclidean Geometry, the horizontal line test states that if the graph of a function (f) is intersected by any horizontal line more than once, then, the function (f) does not have an inverse.
Conversely, if the graph of a function (f) isn't intersected by any horizontal line more than once, then, the function (f) has an inverse.
By critically observing the graph of the given relation shown in the image attached below, we can logically deduce that it does not have an inverse because it didn't pass the horizontal line test.
Please help! Given b = 4 and h = 1, what is the equation of the graph if the parent function is y = sqrt x?
A. y = sqrt (4x - 4)
B. y = sqrt (4x + 4)
C. y = - sqrt (4x - 4)
D. y = - sqrt (4x + 4)
Answers
To solve this problem, we make use of the formula:
y = a sqrt (b (x – h)) + k ---> 1
Since we are given the parent function:
y = sqrt (x) ---> 2
Then this automatically means that:
a = 1 and k = 0
So going back to equation 1 at a = 1 and k = 0:
y = 1 sqrt (b (x – h))
Since it is given that, b = 4 and h = 1, therefore:
y = sqrt (4 (x – 1))
y = sqrt (4 x – 4)
Answer:
A. y = sqrt (4 x – 4)
where is the best place to learn spanish for free and become fluent on line
Answers
Answer:
DUOLINGOOOO
Step-by-step explanation:
keeps you persistent through notifications so turn it on
Expressing parametric equations that don't have an x or y equation
Answers
for exemple ; x = 3t+2 y = -2t +7
3+-1/1/3 the first half is 3+-1 the second half is 1/3
Answers
[tex]\bf \cfrac{3+1}{\frac{1}{3}}\implies \cfrac{4}{\frac{1}{3}}\implies \cfrac{\frac{4}{1}}{\frac{1}{3}}\implies \cfrac{4}{1}\cdot \cfrac{3}{1}\implies \cfrac{4\cdot 3}{1\cdot 1}\implies \cfrac{12}{1}\implies \boxed{12} \\\\\\ \cfrac{3-1}{\frac{1}{3}}\implies \cfrac{2}{\frac{1}{3}}\implies \cfrac{\frac{2}{1}}{\frac{1}{3}}\implies \cfrac{2}{1}\cdot \cfrac{3}{1}\implies \cfrac{2\cdot 3}{1\cdot 1}\implies \cfrac{6}{1}\implies \boxed{6}[/tex]
Trey's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Trey $4.80 per pound, and type B coffee costs $5.85 per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $603.45 . How many pounds of type A coffee were used?
Answers
Let x = the number of pounds of Type A coffee.
We know that this month's blend used 3 times as many pounds of type B coffee as type A coffee.
Total pounds of coffee = x + 3x
The total cost is:
(cost for Type A)(x) + (cost for Type B)(3x) = $603.45
$4.80x + $5.85(3x) = $603.45
$4.80x + $17.55x = $603.45
$22.35x = $603.45
x = 603.45/22.35 = 27 pounds
what is the inverse funtion f(x)=4x+8?
Answers
f(x) = 4x + 8
4x = f(x) - 8
x = (f(x) - 8)/4
f-1(x) = (x - 8)/4 <------- the inverse
y=4x+8 so we want to solve for x, subtract 8 from both sides
y-8=4x, divide both sides by 4
(y-8)/4=x, now simply swap variable labels...
y=(x-8)/4
f^-1(x)=(x-8)/4
The growth of a new strain of bacteria is represented by 7=79.31(1.48)^x,where x represents the number of days and y represents the number of bacteria. which is the best prediction for the number of bacteria on day 6
A.833
B.117
C.704
D.647
Answers
Y (6)=79.31×(1.48)^(6)
Y (6)=833
Answer:
A. 833
Step-by-step explanation:
Given:
The growth of a new strain of bacteria is represented by [tex]y = 79.31(1.48)^x[/tex], where "x" represents the number of days and "y" represents the number of bacteria.
We need to find the number of bacteria on day 6.
So, here x = 6, we need to plug in x = 6 in the given function and find the answer.
[tex]y = 79.31(1.48)^6[tex]
Simplify the above expression, we get
y = 833.49
The bacteria cannot be in decimal form, let's round off the answer to nearest whole number.
y = 833
Therefore, answer is A. 833
How many possible 10-digit phone numbers with the area code 617 are there? (any decimal digit can be the digit of a phone number. For instance the number 617−000−0000 is a possible phone number)
Answers
10^7 possible numbers
Because each digit can have 10 possible values from 0 through 9, you get
10*10*10*10*10*10*10 which is just 10^7
10,000,000 (ten million)
Answer:
10,000,000
This is the answer because you have to do 10^7 because 3 of ten dights are filled so you have seven dights remaining. And yeah, i already checked it in my homework thingy fir RSM cuz I had the same problem. So yeah. I hope everyone who sees this has a lovely and beautiful day.
Quote of the day is: Everyone Suffers. Thats the truth. You have you pain and I have mine. But in your life, you pain will come to an end. Don't waste good opportunities and don't be afraid to hide yourself of how you look, or act, or your race and sexuality. Think of it like this, if your pain is a dark tunnel, you are so close to the end you can almost touch the light, so keep moving!
-Me
Hope everyone has a great day and an amazing life ahead
: adam and melissa went fly-fishing and caught a total of 32 salmon. melissa caught three times as many salmon as adam. how many salmon did adam catch?
Answers
m= Melissa
a+m = 32
m= 3a
Then 3a + a = 32 or 4a =32 then a = 8
How do you write 56% as a fraction in simplest form?
Answers
We can write 56% as a fraction to the simplest form as [tex]\mathbf{= \dfrac{14}{25} }[/tex]
A fraction is a numeric value divided into two parts, the upper part(numerator) and the lower part(denominator) which are separated by a division line.
From the given information:
56% can be written in fraction as [tex]\mathbf{\dfrac{56}{100}}[/tex]
Now, to its simplest form means to divide the numerator and the denominator to their lowest term. By doing so, we have:
[tex]\mathbf{\dfrac{56}{100}}[/tex]
Divided by (2)
[tex]\mathbf{= \dfrac{28}{50} }[/tex]
Divided by (2)
[tex]\mathbf{= \dfrac{14}{25} }[/tex]
Therefore, we can conclude that 56% as a fraction to the simplest form is [tex]\mathbf{= \dfrac{14}{25} }[/tex] since no other number can go in both the numerator and the denominator.
Learn more about fraction here:
https://brainly.com/question/6201432?referrer=searchResults
Explain in terms of the unit circle and geometry why the trig identity cos2 x + sin2 x = 1 holds true for all values of x.
PLEASE I NEED HELP ASAP
Answers
We can imagine the given equation cos2 x + sin2 x = 1 to be in the form of the hypotenuse equation.
Where cos x and sin x is the base and height of the triangle and 1 is the hypotenuse.
Since 1 is the hypotenuse, it also indicates to the radius of the circle. Supposing that the center of the circle is at the origin, then at all values of x (at all values of the angle), the radius of the circle will always be the same which is equal to 1.
Therefore the equation cos2 x + sin2 x = 1 holds to be true for all values of x for a unit circle.
If (-3)^-5 =1/x, what is the value of x?
Answers
The vertex of a parabola is (-2, -20), and its y-intercept is (0, -12).
The equation of the parabola is y =
x2 +
x +
.
Answers
y = a(x - h)^2 + k where (h,k) is the vertex.
so we have
y = a(x - (-2)^2 - 20
y = a(x + 2)^2 - 20
y intercept is (0,-12) so:-
-12 = a(2)^2 - 20
4a = 8
a = 2
y = 2(x + 2)^2 - 20 is the parabola in vertex form Convert to standard form:-
y = 2(x^2 + 4x + 4) - 20
y = 2x^2 + 8x -12 is the answer
The equation of the parabola with a vertex at (-2, -20) and a y-intercept at (0, -12) is y = 2x^2 + 8x - 12.
Explanation:To find the equation of the parabola, we can use the vertex form of a parabola's equation, which is y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola, and 'a' is a coefficient that determines the parabola's width and direction. Since we have the vertex (-2, -20) and the y-intercept (0, -12), we can plug in these values to solve for 'a':
y = a(x - (-2))^2 - 20
Using the y-intercept:
-12 = a(0 - (-2))^2 - 20
-12 = 4a - 20
8 = 4a
a = 2
The equation of the parabola is therefore:
y = 2(x + 2)^2 - 20
Expanding the equation:
y = 2(x^2 + 4x + 4) - 20
y = 2x^2 + 8x + 8 - 20
y = 2x^2 + 8x - 12
The final quadratic equation of the parabola is:
y = 2x^2 + 8x - 12