From the options equation A and D are correct answers.
What are trigonometric ratios?The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
In the given triangle JKL, JK=25, JL=7 and LK=24.
We know that, sin θ= Perpendicular/Hypotenuse
tan θ= Perpendicular/Base
A) Now, sin J=LK/JK
sin J= 24/25
B) tan J=LK/JL
tan J=24/7
C) sin K=JL/JK
sin K=7/25
D) tan K=JL/LK
tan K=7/24
Therefore, from the options equation A and D are correct answers.
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A photograph of a full moon is enlarged so that the diameter appears 2 times larger. How much larger
does the circumference of the moon appear?
Answer:
ans 3
Step-by-step explanation:
Circumference is distance round a figure. When diameter is trippled, the circumference will also tripple.
Here is a proof
Take the moon to have circular shape and has diameter d
Circumference is given by C=πd
When the new diameter is trippled, diameter will be 3d and the new circumference will be
C=π3d=3πd
Evidently, the new circumference is three times the original circumference. Therefore, for this case, the new circumference will be 3 times the original
What is the volume of this sphere?
Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
The answer is 4186. 67
Step-by-step explanation:
[tex]v = \frac{4}{3} \times 3.14 \times {(10)}^{3} \\ v = 4186.66666 \\ v = 4186.67[/tex]
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plz tell the answer its very urgent no fake answers allowed
Answer:
7 1/40
Step-by-step explanation:
7.025
= 7025/1000
=281/40
7 1/40
Answer:
d) 7 1/40
e)17/33
Step-by-step explanation:
d) 281/40
7 1/40
e) 714/1386 = 17/33
Solve using substitution. The solution is 4x-2y=-20 y=-3x
Answer:
X=-2
Step-by-step explanation:
4x-2(-3x)= -20
4x+6x=-20
10x=-20
/10 /10
x=-2
Hope this helps!
z is proportional to x^3. describe exactly what will happen to x when z became 8 times greater
Answer: x is doubled.
Step-by-step explanation:
A proportional relationship between x and y is written as:
y = k*x
where k is called the constant of proportionality.
In this case, we know that we have a proportional relationship between z and x^3
Then:
z = k*x^3
What will happen to x when z is 8 times greater?
Let's rewrite this equation for two new quantities, z' and x'
z' = k*(x')^3
Now we need to replace z' by 8*z, then:
8*z = k*(x')^3
We want to find a relationship between x' and x.
And by the first relationship, we know that:
z = k*x^3
Then we can replace this in the equation "8*z = k*(x')^3" to get:
8*(k*x^3) = k*(x')^3
8*k*x^3 = k*(x')^3
Now we can divide both sides by k, so we get:
8*x^3 = (x')^3
Now we can apply the cubic root to both sides, to get:
∛(8*x^3) = ∛(x')^3
∛(8)*x = x'
2*x = x'
Then when we increase the value of z 8 times, the value of x will be doubled.
Explain how to graph the following function and determine its domain and range
y=-x^2+4-7
Answer:
Domain is: ( − ∞ , ∞ ) , { x | x ∈ R }
range is: ( − ∞ , − 3 ] , { y | y ≤ − 3 }
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Step-by-step explanation:
HELP ILL MARK YOU BRAINLIST
Answer:
-2
Step-by-step explanation:
You can see that when x goes up by 1, y goes down by 2. This means the rate of change is -2
Answer:
The rate of change is -2
Step-by-step explanation:
Take any two points from the graph. (0,-4) and (-2,0). Plug them into the equation y2-y1/x2-x1. In this case the equation would be 0--4/-2-0. Simplify this and get 0+4/-2-0. Simplify again and get 4/-2 which is -2
Therefore the rate of change is -2
Hope this helps
Diego wrote 6/4 * 8/3 =48/4 .Explain what's Diego's mistakes was and how you know the equation is not true.
Look at the denominator. Diego did not multiply 4 times 3. He simply carried 4 into the product.
PLS HELP!! GIVING BRAINLIST
Answer:
x=2
y=0
Step-by-step explanation:
8x - 4y = 16
solve for x
8x = 4y + 16
divide 8 by all terms
x = 2 + [tex]\frac{y}{2}[/tex]
Insert x in second equation
8(2+y/2)+4y=16
solve
y=0
x=2
what is the value of the expression 1/2(12.g)-h when g=1/4 and h=1/2
Answer:
1
Step-by-step explanation:
1/2(12.1/4)-1/2
1/2(3)-1/2
1.5-0.5
1
Answer:
1
Step-by-step explanation:
did it on time4learning
solve quadratic by square root
Answer:
[tex]\frac25[/tex] and [tex]-\frac25[/tex]
Step-by-step explanation:
Hello!
The square root method is the process of square rooting both sides of the equation.
Solve for x[tex]25x^2 = 4[/tex][tex]\sqrt{25x^2} = \sqrt4[/tex]When you square root a number that is being squared (x^2), it is the absolute value of that number. Meaning that you keep a plus or minus sign on the other side.
[tex]\sqrt{25x^2} = \sqrt4[/tex][tex]5x = \pm 2[/tex][tex]x = \pm \frac25[/tex]The roots of the equation are [tex]\frac25[/tex] and [tex]-\frac25[/tex].
best anwser gets brain make sure show anwser thank you
Answer:
2187
Step-by-step explanation:
1594323/729
basically and you just need to divide and your good.
What is the
length and the base.
The height of a triangle is 2m more than the base. The area is 17.5 m^2.
Answer: 5 m
Step-by-step explanation:
Double the area to get 35. then think what two number multiply to get 35 that are also 2 apart. 7 x 5. So 7 is the height and 5 is the base.
Check answer: A = 1/2xbxh
A = 1/2 x 7 x 5
A = 1/2 x 35
A = 17.5 sq m
Are the triangles similar?
A. Yes, by SSS~ Postulate
B. Yes, by SAS~ Postulate
C. Yes, by AA~ Postulate
D. No, their sides are not proportional
Answer:
A. Yes, by SSS~ PostulateStep-by-step explanation:
Verify the ratio is same for each pair of corresponding sides:
AC/HF = 84/14 = 6AB/HG = 72/12 = 6CB/GF = 48/8 = 6Confirmed the three sides have same ratio
Correct option is A
finding the distance between two points (-4,-3),(6,1)
Answer:
it's the first one
Step-by-step explanation:
Graph the inequality y<-1/3x+6.
Answer:
first point will be at (0, 6)
then from there you want to go down 1 and to the right 3 times also go up 1 and to the left 3 times (do that until you fill up your graph)
AC =using the Distance Formula
A. 10
B. 5
C. 15
Answer:
√41
Step-by-step explanation:
Here we want to find the value of AC
A = (-4,0)
C = (1,4)
The distance formula is;
D = √(y2-y1)^2 + (x2-x1)^2
D = √(4-0)^2 + (1-(-4)^2
D = √4^2 + 5^2
D = √(16+25)
D = √41
A rectangular water tank can hold 142.5 cubic meters of water its base is 9.5 meters by 5 meters what is the height
Answer:
543
Step-by-step explanation:
553 - 10
= 543
∈⊕║∦↔㏒π∡∡⇅Δπω
If a rectangular water tank can hold 142.5 cubic meters of water its base is 9.5 meters by 5 meters then the height is 3 meters.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that a rectangular water tank can hold 142.5 cubic meters of water
base is 9.5 meters by 5 meters
We have to find the height of the water tank.
Volume = length × width ×height
142.5 = 9.5×5×height
142.5=47.5 height
Divide both sides by 47.5
142.5/47.5 = height
3 = height
Hence, if a rectangular water tank can hold 142.5 cubic meters of water its base is 9.5 meters by 5 meters then the height is 3 meters.
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Need help fast please
Alice got a 8% rise in salary from last year. This year she is earning $ 40,120. How much did she make last year?
Answer:
Step-by-step explanation:
Let x be last year's salary.
100%x + 8/100 x = 40120
100x/(100) + 8/100x = 40120
108x/100 = 40120
1.08x = 40120
x = 40120/1.08
x = 37148.14
Now if you take 8% of 37148.14 = 2971.85
And add it to 37148.14
You should get the current earning 40119.99
You are within a penny of the same answer. This question will not work out evenly because 1.08 does not divide evenly into 40120.
I am giving highest points no fake answers or I will report
Answer:
450 more yards
Step-by-step explanation:
Answer:
4530
Step-by-step explanation:
He skated around 3 times: 250(3)= 750
He's skated 750 yards so far.
There are 1760 yards in a mile
three mies= 5280
5280-750= 4530
Which of the following is the maximum value of the function y = -x2 + 2x + 1?
We first complete the square.
y=-x^2+2x+1
y=-x^2+2x-1+1+1
y=-(x-1)^2+2
The maximum point is (1,2) since -1 in ( ) meant 1 unit to the right and +2 meant 2 units up.
The maximum point is (1,2) but the maximum value means the y value which is simply just 2.
Done!
3) This table represents the price of milk for various years. What is the percent of increase from 1980 to 2010 1 Year Price 1980 $1.60 1990 $2.15 2000 $2.78 2010 $3.59
Answer:
124.375% increase
Step-by-step explanation:
From 1980 to 2010 there was a 124.375% increase
A cyclist can ride 3 miles in 15 minutes. At this rate, how many miles can the cyclist ride in 90 minutes?
Answer:
18 miles
Step-by-step explanation:
3 miles/15 minutes = x/90 minutes
3 × 90 = 15 × x (cross multiplication)
270 = 15x
x = 18
PLEASE HELP FAST! Find the equation of a line that bisects the line segment joining the points (-1,3) and (5,-3) and intersects the x-axis at the origin.
Answer: y=0
Step-by-step explanation:
Mid point of line segment joining (a,b) and (p,q) = [tex](\dfrac{a+p}{2},\dfrac{b+q}{2})[/tex]
Mid point of line segment joining the points (-1,3) and (5,-3) = [tex](\dfrac{-1+5}{2},\dfrac{3-3}{2})[/tex]
[tex]=(\dfrac42,\dfrac02)\\= (2,0)[/tex]
Equation of line passing through (a,b) and (c,d) is given by :-
[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]
Equation of line passing through (2,0) and (0,0) will be:
[tex](y-0)=\dfrac{0-0}{2-0}(x-0)\\\\\\ y=0[/tex]
the map ratio of a map is 1: 50000. find the length on the ground represented by 6.4cm on the map
Answer:
320,000
Step-by-step explanation:
6.4cm on the map would be 320,000 (ft I'm assuming) and I found that by multiplying 50,000x6.4.
messed up and didnt put the attachment on the last post
Answer :-
9(3+√3) feet
Step by step explanation :-
A triangle is given to us. In which one angle is 30° and length of one side is 18ft ( hypontenuse) .So here we can use trignometric Ratios to find values of rest sides. Let's lable the figure as ∆ABC .
Now here the other angle will be = (90°-30°)=60° .
In ∆ABC ,
=> sin 30 ° = AB / AC
=> 1/2 = AB / 18ft
=> AB = 18ft/2
=> AB = 9ft .
Again In ∆ ABC ,
=> cos 30° = BC / AC
=> √3/2 = BC / 18ft
=> BC = 18 * √3/2 ft
=> BC = 9√3 ft .
Hence the perimeter will be equal to the sum of all sides = ( 18 + 9 + 9√3 ) ft = 27 + 9√3 ft = 9(3+√3) ft .
Hence the perimeter of the triangular pathway shown is 9 ( 3 + √3 ) ft .Help please this is hard i'll mark you the brainlyest!
Answer:
c
Step-by-step explanation:
c, because if you're doing a percentage of kids who bring lunches you need to do every grade level and every student to get a proper percentage
3. CLOVERS Nathaniel is searching for a four-leaf
clover in a field. He finds 2 four-leaf clovers during
the first 12 minutes of his search. If Nathaniel spends
a total of 180 minutes searching in the field, predict
the number of four-leaf clovers Nathaniel will find.
Answer:
Sham Rock is searching for a four-leaf clover in a field. He finds 2 four-leaf clovers during the first 12 minutes of his search. If Sham spends a total of 180 minutes searching in the field, predict the number of four-leaf clovers he will find.
Step-by-step explanation:
PLS HELP I WILL GIVE BRAINLIEST
Solve for j. -3/4j + 1/5 = 3/5
j = -1 1/5
j = -8/15
j = 8/15
j = 1 1/15
Answer:
j = -15/8
Step-by-step explanation:
Here, we want to find the value of j
-3/4j = 3/5 - 1/5
-3/4j = 2/5
4j * 2 = -3 * 5
8j = -15
j = -15/8