NEED HELP ON HELP ON HOW TO DO THIS
You have triangle JKL. Angle J is a right triangle. Angle K has a measure of 40 degrees. Side k=26. Solve the triangle. Round angles and sides to nearest tenth.
Answer choices:
A) Angle L= 50 degrees, side L= 31.0, side J= 40.4
B) Angle L= 50 degrees, side L= 33.3, side J= 42.8
D) Angle L= 50 degrees, side L= 21.8, side J= 33.9
E) Angle L= 50 degrees, side L= 33.9, side J= 21.8
Pls give explanation!!
Answers
Answer:
Option E
Step by step explanation:
We know that angle J is a right angle meaning it's an angle 90 degrees. So to find angle L;
90+40+L=180
130+L=180
L=180-130
So therefore angle L =50 degrees
Now to find side J which is the opposite in the triangle,we use tan because it has adjacent and opposite which is what we're looking for;
Tan 40 degrees =opposite/26
We cross multiply
Opposite =Tan 40 degrees×26
Opposite =21.8
Side J=21.8
With side J found we can find side L using Pythagoras theorem
L^2=21.8^2 +26^2
L^2=475.24+676
L^2=1,151.24
L=Square root of 1,151.24
L=33.9
Answer:
A) Angle L= 50 degrees, side L= 31.0, side J= 40.4
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationship between trig functions and sides of a right triangle. The given side of k is opposite the given angle K, so the sine or tangent functions can be used to find missing sides. If we want to start with the hypotenuse, we can use the relation ...
Sin = Opposite/Hypotenuse
sin(40°) = 26/j
j = 26/sin(40°) ≈ 40.4 . . . units (matches choice A)
Similarly, we can use the tangent relation to find side ℓ:
Tan = Opposite/Adjacent
tan(40°) = 26/ℓ
ℓ = 26/tan(40°) ≈ 31.0 . . . units (matches choice A)
Of course, angle L is the complement of 40°:
L = 90° -40° = 50°
The solution to the triangle is L = 50°, ℓ = 31.0, j = 40.4.
Related Questions
A music downloading website reports that 5 out of every 7 songs downloaded are classified as pop
music. According to this information, predict how many of the next 500 songs downloaded will be pop
songs. Round your answer to the nearest whole number.
Answers
Answer:
357 songs were pop
Step-by-step explanation:
5 out of every 7 songs are pop
mathematically =5/7 is pop
.
therefore 5/7 of 500
=5/7×500
=357.143
to the nearest whole number = 357
Milo has 15 Dimes, 20 Nickels, 19 Pennies, 8 Quarters, and 1 Half Dollar. Which expression shows one way Milo can use some or all of these coins to get $5.00? A) 2(0.50) + 20(0.50) + 15(0.10) + 6(0.25) B) 3(0.50) + 20(0.05) + 15(0.10) + 6(0.25) C) 3(0.25) + 20(0.10) + 15(0.50) + 6(0.05) D) 6(0.25) + 20(0.05) + 15(0.01) + 1(0.50) E) 8(0.25) + 15(0.10) + 20(0.05)+ 1(0.50)
Answers
Answer:
E)
Step-by-step explanation:
in total milo has $5.19
A does not work because he does not have 22 half dollars, b does not work because he does not have 3 half dollars, c does not work because he does not have 20 dimes, D does not work work because it only adds up to $3.15.
E works
PLEASE HELP ME WITH THIS QUESTION
The graph below shows the distances, in miles, that a dragonfly can travel in a certain number of hours:
A graph titled Motion of a Dragonfly shows Time in hours on the x axis and Distance in miles on the y axis. The scale on the x axis shows number from 0 to 10 at increments of 2, and on the y axis, the numbers are shown from 0 to 330 at increments of 66. A straight line joins the ordered pairs 0, 0 and 2, 66 and 4, 132 and 6, 198
Based on the graph, what is the dependent variable, what is the equation relating the two variables, and how far will the dragonfly travel in 24 hours if it continues to fly at the same speed?
The dependent variable is distance, the equation is y = 33x, and the dragonfly will travel 792 miles.
The dependent variable is distance, the equation is x = 33y, and the dragonfly will travel 1,056 miles.
The dependent variable is time, the equation is y = 33x, and the dragonfly will travel 792 miles.
The dependent variable is time, the equation is x = 33y, and the dragonfly will travel 1,056 miles.
Answers
Answer:
The dependent variable is distance, the equation is y = 33x, and the dragonfly will travel 792 miles
Step-by-step explanation:
ordered pairs: (0, 0) (2, 66) (4, 132) (6, 198)
slope of linear equation = change in y ÷ change in x
⇒ slope = (132 - 66) ÷ (4 - 2) = 33
Therefore, equation of the line: y = 33x
When x = 24, y = 33 × 24 = 792 miles
Distance is dependent on time, therefore distance is the dependent variable and time is the independent variable.
The thickness of DNA is about 3 * 10-9 meter. The thickness of the
smallest thing visible to the naked eye is 1* 10-4.
Compare the thickness of DNA to the smallest thing visible to the naked eye.
Answers
Answer:
The smallest thing is visible to the naked eye is 1/3x10^5 times as thick as DNA.
The thickness of DNA is 3x10^-5 of the thickness of the smallest thing visible to the naked eye.
Step-by-step explanation:
Answer:
Whatever is smallest to the naked eye is 1/3x10^5 times as thick as DNA.
Surya purchased 176 return gifts for his birthday party. He spent 52,624 for all the gifts. Find the cost of one gift.
Answers
Answer:
who the f who spend the much money anyways divide 176 52,624 and u get 0.003344 or 299
Step-by-step explanation:
solve for x ( SHOW YOUR WORK )
Answers
Answer:
x+47+85+54=180°
x+186°=180
x=-6
Substitute the value of x in x+47
-6+47=41°
Your answer is 41°
pls Mark as brainliest
how much fabric will he need to create the tent
Answers
Hey, what's 25.21-12.47?
Answers
First, you have to line up the decimal places (it isn't multiplication or division).
25.21
- 12.47
_______
12.74
25.21-12.47 = 12.74
Answer:
12.47
Step-by-step explanation:
8. The box plots show the heights of a sample of two types
of trees.
The median height of Tree _____ Is greater
WILL GIVE LOTS OF POINTS
Answers
Help!!!!!!!!!!!!!!!!
Answers
Answer:
13.8
Step-by-step explanation:
We know that 1 inch is 9.2 miles. The houses are 1.5 inches away. We need to divide 9.2 by 2. We get 4.6. 9.2+4.6=13.8!
13.8
what is the slope of the line that contains the points (13,-2) and (3,-2)? Be sure to simply result
Answers
Answer:
0
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-(-2))/(3-13)
m=(-2+2)/-10
m=0/-10
m=0
Assume a corporate bond pays a 5 percent coupon and matures in ten years. What will be the change in the current price of this bond if market interest rates increase from 5 to 5.5 percent?
Answers
The change in the current price of the bond when the market interest rates increase from 5% to 5.5% is a fall in the price of the bond.
What happens to bond prices with increased market interest rates?The attractiveness of bonds occurs when the interest rates fall. This fall drives up demand for bonds with fixed interest rates and the increasing demand causes bond prices to rise.
This implies that when interest rates rise, investors do not prefer the lower fixed interest rate paid by a bond. The reduced demand for bonds results in their declining prices.
Thus, when interest rates rise, bond prices fall and when interest rates fall, bond prices rise.
Learn more about bonds at brainly.com/question/25596583
I need help please ASAP !!
Answers
Step-by-step explanation:
5 An exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles. The sum of the exterior angle and the adjacent interior angle that is not opposite is equal to 180º.
Subtract six times the quantity 3a + 12b - 4c from eight times the sum of the quantities 14a +
70 and 5b - 12c
Answers
Answer:
94a - 32b - 72c + 560
Step-by-step explanation:
First get the product of 6(3a + 12b - 4c) = 18a + 72b - 24c.
Second get the sum of 14a + 70 and 5b - 12c = 14a + 5b - 12c + 70 then multiply by 8 and the product is 112a + 40b - 96c + 560. Subtract the first product from the 2nd product to get the final answer
Electric utility poles in the form of right cylinders are made out of wood that costs $11.07 per cubic foot. Calculate the cost of a utility pole with a diameter of 1.5 ft and a height of 40 ft. Round your answer to the nearest cent.
Answers
If the cylinders are made out of wood that costs $11.07 per cubic foot, the cost of the cylinder will be $782.10
How to calculate the volume of cylinderThe volume of a cylinder is expressed as:
V = πr²h
h is the height = 40ft
r is the radius = 1.5/2 = 0.75ft
Substitute:
V = π(0.75)²(40)
V = 3.14 * (0.75)²(40)
V = 70.65 cubic foot
If the cylinders are made out of wood that costs $11.07 per cubic foot, the cost of the cylinder will be 11.07 * 70.65 = $782.10
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Pls help me out I really need help
Answers
Answer:
9: 8
10: divisible by 2
11: 8 1/3
Step-by-step explanation:
432 oranges are to be divided equally among a number of people. If there had been four people less, the share of each would have been 9 oranges more. Find the number of people.
Answers
Answer:
the number of people would have been 48
Choose at random a person aged 20 to 39 years. Ask their age and marital status (never married, married, or
widowed/divorced/separated). The table gives the probability model for 12 possible answers.
Age in years.
20-24 25-29 30-34 35-39
Never married
0.227 0.156 0.089 0.054
Married
0.027 0.086 0.137 0.148
Widowed/divorced/separated 0.006 0.015 0.022 0.033
What is p(A)?
Answers
The probability model shows the distribution of people of age 20 to 39 years
The value of the probability P(A) is 0.631
How to determine the probability, P(A)From the question, the notation P(A) represents the probability that a person is either 20-24 years old or is married
From the table, we have the following parameters:
P(20-24) = 0.227 + 0.027 + 0.006 = 0.26P(Married) = 0.027 + 0.086 + 0.137 + 0.148 = 0.398P(20-24 and Married) = 0.027The probability, P(A) is then calculated as:
P(A) = P(20-24) + P(Married) - P(20-24 and Married)
Substitute known values
P(A) = 0.26 + 0.398 - 0.027
Evaluate the expression
P(A) = 0.631
Hence, the value of the probability P(A) is 0.631
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I need help pls pls
Answers
Answer:
number one: 814 x 42=34,188 number two: 814 x 47=38,258
Step-by-step explanation:
well, both are correct giving the fact that in the bottom they want you to fill in the blank, both answers i have given start with 3 and end with 8, hope this helped!!
This is the question I have on the picture that’s what it is
Answers
BC = sqrt 65
AC = sqrt 145
Hope this helps.
4 flower bunches require 48 roses. how many bunches can be made with 84 roses?
Answers
Answer:
7 flower bunches
Step-by-step explanation:
One flower bunch requires 12 roses since 48/4 is 12
then to find out how many flower bunches can be made by 84 roses you would have to divide 84 by 12 which gives you 7.
Answer:
7
Step-by-step explanation:
48 roses divided by 4 roses is 12 roses per bunch.
84/12=7
Solve 2/5=x/25 what is the c
Answers
Answer:
x=10
Step-by-step explanation:
By c, I am thinking x...
So, to solve this question, you do cross-multiplication
2/5=x/25
5*x=25*2
5x=50
x=10
This is a picture of a cube and the net for the cube.
What is the surface area of the cube?
54 in²
81 in²
324 in²
486 in²
Answers
cube surface area = 6 x 9 x 9 = 486 in²
Refer to the figure. Find m SUV.
Help :(
Answers
Answer:122°
Since USM is 180° you take 180 and 58° and then subtract them and you get 122°.
ANSWER CORRECTLY FOR 25 POINTS (Again smh)
Use this rule to fill in the table.
Rule: Divide the input by 4 to get the output.
Divide by 4
Input Output
12 |
16 |
20 |
Answers
Answer:
the answers are 3, 4, and 5
Express the inequality b≥−8 using interval notation
Answers
Answer:
[-8, infinity)
Step-by-step explanation:
Interval notation uses (, [, ], ) where the parentheses are exclusive and the brackets are inclusive. That means, we have:
[-8, infinity)
The reason we don't use the square bracket for infinity is because you can never include infinity in your set
2.) Simplify:
10x + 6y +4x =
x(14) + 6y = 14x +6y
Answers
Answer:
{x,y} = {1,1}
Step-by-step explanation:
[2] 6y = -14x + 20
[2] y = -7x/3 + 10/3
// Plug this in for variable y in equation [1]
[1] -10x - 6•(-7x/3+10/3) = -16
[1] 4x = 4
// Solve equation [1] for the variable x
[1] 4x = 4
[1] x = 1
// By now we know this much :
x = 1
y = -7x/3+10/3
// Use the x value to solve for y
y = -(7/3)(1)+10/3 = 1
Solution :
{x,y} = {1,1}
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEe
Answers
slove for X= what would this be for Mai poured 2.6 liters of water into a partially filled pitcher. The pitcher then contained 10.4 liters.
Which equation best represents the situation?
2.6\cdot⋅10.4 = x
, Not Selected
2.6 + 10.4 = x
, Not Selected
x + 2.6 = 10.4
, Not Selected
Incorrect answer:
x - 10.4 = 2.6
Results for item 16.
16
0 / 1 point
Solve for x in the equation you chose.
x =
Incorrect answer:
8.3
Answers
Answer:
x + 2.6 = 10.4
x = 7.8
Step-by-step explanation:
If 2.6 liters are added to x liters with the result that 10.4 liters then exist, the model is ...
2.6 +x = 10.4 . . . . . . . 2.6 added to x gives 10.4
The commutative property of addition lets you rewrite this to ...
x +2.6 = 10.4
__
Subtracting 2.6 from both sides of the equation gives its solution:
x +2.6 -2.6 = 10.4 -2.6
x = 7.8
please help
solve the formula for r. suppose a merry-go-round is spinning once every 3 seconds. is the point on the outside edge has a speed of 12.56 ft per second, what is the radius of the merry-go-round? (use 3.14 for π)
Answers
Answer:
6 feet
Step-by-step explanation:
The circumference is given by ...
C = 2πr
Since we travel that distance in 3 seconds, our speed is ...
2πr/3 = 12.56 . . . . . . feet per second
6.28/3r = 12.56 . . . . using 3.14 for π
r = 12.56(3/6.28) = 6
The radius of the merry-go-round is 6 feet.