Triangle L N M is shown. Angle L N M is 90 degrees and angle N M L is 20 degrees. The length of L N is 21.
Use the diagram to complete the statements.
The measure of angle L is
°.
The trigonometric ratio that uses ∠M and LN to solve for NM is
.
The length of NM, to the nearest tenth, is approximately
.
Answers
Angle L: 70°
The trigonometric ratio used to solve for NM is the tangent ratio.
NM = 57.7 [nearest tenth]
How to Apply the Trigonometric Ratios?Using the triangle sum theorem, find angle L.
Angle L = 180 - 90 - 20 = 70°
Using the tangent ratio, we can use ∠M and LN to solve for NM
Tan 20 = 21/NM [tan ∅ = opposite/adjacent]
NM = 21/tan 20
NM = 57.7 [nearest tenth]
Learn more about the trigonometric ratio on:
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Answer:
70, tangent, 57.7
Step-by-step explanation:
Related Questions
What does decreased mean in math?
Answers
Answer:
becoming less or fewer; diminishing. Mathematics. (of a function) having the property that for any two points in the domain such that one is larger than the other, the image of the larger point is less than or equal to the image of the smaller point; nonincreasing.
Step-by-step explanation:
BRAINLIST PLEASE!
Meaning of decreased in math is, get smaller in size, number or quantity.
We have to given that,
To defined decreased mean in math.
We know that,
We use minus sign to denote subtract, decreased by, take away, etc.
For example, Minus sign also means how much is one value more than the other value.
Hence, Meaning of decreased in math is, get smaller in size, number or quantity.
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Find the area of the triangle.
4ft
ift
8ft
[? ] ft2
Answers
1/2
¿Cuántos envases de 1/2 de litro
se pueden llenar con el líquido de
una tina de 12 litros?
Answers
a. Find the value of x
below
Answers
#The x side is same with 80° so
11x + 3 = 80°
11x = 80 - 3
11x = 77
x = 7
Answer : 73x-4y=11
3x+2y=2
please help, I need to find what the answer is for x and y
Answers
Answer:
I have attached a picture of me solving the equation.
Now you must be wondering how I got the answer, well first simplify the expression in y = mx + b. Then graph it on demos. Do the same thing for the other expression. Pick any point that lies on the line. That is your solution to the equation.
The green line is the expression of 3x - 4y = 11. I simplify the equation in y = mx + b giving me y = 3/4x - 11/4.
The orange line is the expression of 3x + 2y = 2. I simplify the equation in y = mx + b giving me y = -3/2x + 1.
Hope this helps, thank you !!
A construction worker drops a hammer while building the Grand Canyon skywalk 4,000ft above the Colorado River. Use the formula t=h−−√4 to find how many seconds it takes for the hammer to reach the river. Round your answer to the nearest tenth of a second.
Answers
Answer:
15.8
Step-by-step explanation:
We are asked to find how many seconds it takes for an object to fall from a height of 4,000ft. We will use the given formula, t=h−−√4. Substituting h=4,000, we find
t=4000−−−−√4=15.8
So, the hammer reaches the river after 15.8 seconds.
Which operation should you perform first when evaluating the expression:
3 to the power of 2+2
Answers
Answer: the power so ans should be 81
Step-by-step explanation:
Just as you are about to estimate a regression (due tomorrow), massive sunspots cause magnetic interference that ruins all electrically powered machines (e.g., computers). Instead of giving up and flunking, you decide to calculate estimates from your data (on per capita income in thousands of U.S. dollars as a function of the percent of the labor force in agriculture in 10 developed countries) using methods like those used in Section 2.1 (Yi = B0 + B1Xi + Ei) without using a computer. Your data are:Country A B C D E F G H I JPer Capita Income 6 8 8 7 7 12 9 8 9 10% in Agriculture 9 10 8 7 10 4 5 5 6 7a.) Calculate Beta-hat zero and Beta-hat one.b.) Calculate R2(r-squared) and R`2 (adjusted r-squared).c.) If the percent of the labor force in agriculture in another developed country was 8 percent, what level of per capita income (in thousands of U.S. dollars) would you guess that country had?
Answers
Answer:
A) Beta-hat one = -0.547
Beta-hat zero = 12.2837
b) attached
C) y = $7.904
Step-by-step explanation:
hello attached below is the detailed solution and the table
A) Calculate Beta-hat Zero and Beta-hat one
Beta-hat one :
∑ ( xi - x ) (yi - y ) / ∑ (xi - x )^2
= -22.4 / 40.9 = -0.547
Beta-hat zero :
Y - Beta-hat one * X
= 8.4 - (-0.547 )(7.1 ) = 12.2837
B) Calculate R^2 and R^2
attached below
C) using Regression equalia to determine the level of per capita income
y = 12.28 - 0.547 * x
where x = 8
hence Y = $7.904
the sum of 2 integers are -396, if one is 64, find the other
Answers
x – 4y = 27
3x + y = -23
Answers
Answer:
Step-by-step explanation:
Answer:
x=-5, y=-8
Explanation:
I did it already
Markus receives dollar bills from his grandfather for one week. On The first day he received a one dollar. On the second day he received two dollars on the third day he received four dollars and on the fourth day he received eight dollars if continues how much money will Markus have by the end of the week.
Answers
Answer:
he will have $127 by the end of the week
what is dimension of work done?
Answers
Answer:
ML2T-2
Step-by-step explanation:
F(x)=2x^3-3x^2+7 f(-1)=
Answers
Answer:
f(x)=6x^2-6x
Step-by-step explanation:
Keith earns $42.00 in 3 hours. How much would he earn in 10 hours? A. $135.00 B. $140.00 C. $84.00 D. $112.00
Answers
Answer:
B.$149.00
Step-by-step explanation:
=$42.00÷3=$14.00
=$14.00×10=$140.00
Im sorry if this not helpfull
Have a nice day
Shani has 2 chocolate bas. One has 60% cacao and the other 92% calco
What mass of each bar must she mix to obtain 400g of chocolate
with 72% cacao
Answers
Answer:
250 grams of the 60% cocoa bar and 150 grams of the 92% cocoa bar should be used.
Step-by-step explanation:
Given that Shani has 2 chocolate bars, one that had 60% cocoa and the other that had 92% cocoa, to determine what mass of each bar must she mix to obtain 400g of chocolate with 72% cocoa, the following calculation must be performed:
100 x 0.6 + 0 x 0.92 = 60
90 x 0.6 + 10 x 0.92 = 63.2
80 x 0.6 + 20 x 0.92 = 66.4
70 x 0.6 + 30 x 0.92 = 69.6
65 x 0.6 + 35 x 0.92 = 71.2
63 x 0.6 + 37 x 0.92 = 71.84
62.5 x 0.6 + 37.5 x 0.92 = 72
400 x 0.625 = 250
Thus, 250 grams of the 60% cocoa bar and 150 grams of the 92% cocoa bar should be used.
PLEASE HELP!!!
Find the common difference for the arithmetic sequence. -55, -50, -45, -40.....
Answers
Answer:
5
Step-by-step explanation:
Just grap any two consecutive terms in the sequence. lets say -55 and -50
-50-(-55) = 5
you can check this by picking two other terms
Simplify -3a + 5b - c given a = 2, b = -1 and c= 10
Answers
Answer:
-21
Step-by-step explanation:
-3a + 5b - c
-3(2)+5(-1)-(10)=-21
Write an equation for the line in slope-intercept
form.
(Use integers or fractions for any numbers in the
equation.)
Answers
The line crosses the y-axis at 5, so that’s the y-intercept.
The slope is 3 because it goes up by 3 and then 1 to the right, as a fraction it’s 3/1 which is just 3
find the area of EFG
Answers
Answer:
12ft
Step-by-step explanation:
The distance around one block in Ava's neighborhood is 34 mile. If Ava rides her bike around the block 5 times, how many miles does she ride? Use the number line to help.
Answers
Answer:
I think the answer is 3 3/4
Step-by-step explanation:
5 × 3/4 = 15/4
15/4 = 3 3/4
If a cross section of a rectangular prism is cut perpendicular to the base, what would be the shape of the resulting cross section
Answers
Answer:
Step-by-step explanation:
We are given a rectangular prism as shown.
Part A: After slicing the rectangular prism with a plane parallel to the base, we see that the cross-sectional region will be similar to a rectangle.
Thus, the cross-sectional region is a RECTANGLE.
Answer:
triangle
Step-by-step explanation:
MATH HELP ME NOWWWWWWWWWWWWWWWW
Answers
Answer:
part A maybe
Step-by-step explanation:
3/4+1/8 =7/8
part B
5/8 cups
1. What is the LCM of 15 and 100?
a. 400
b. 300
c. 200
d. 100
Answers
Answer:
b. 300
i need 20 words this is filler
Hope this helps
Have a great day/night
Feel free to ask any questions
please help it’s due!!!
Answers
Answer:
33
Step-by-step explanation:
46/22=46+23/x
46x=22 times 69
46x=1518
x=33
Which expressions are equivalent to z ⋅ 3 1/3
select all that apply!!!!!!!!!!!!!!
3z+1/3
6z−2/3z−3z+z
z ⋅ 4−2/3
z(4−2/3)
z(1/3+3)
Answers
Answer:
Options 2), 4 , and 5 are CORRECT
Step-by-step explanation:
Notice that z * 3 1/3 = z * (3 + 1/3) = z * (9/3 + 1/3) = z * 10/3 = 10/3 z
1) The first option is not good'
2) 6 z - 2/3 z - 3 z + z = 4 z - 2/3 z = 12/3 z - 2/3 z = 10/3 z So this option is CORRECT
3) z * 4 - 2/3 is not good since 2/3 is not multiplied by z
4) z ( 4 - 2/3) = z (12/3 - 2/3) = z * 10/3 so this one is CORRECT
5) z (1 / 3 + 3) = z ( 1/3 + 9/3 ) = z (10/3) So this one is also CORRECT
According to an AP-Ipsos poll (June 15, 2005), 42% of 1001 randomly selected adult Americans made plans in May 2005 based on a weather report that turned out to be wrong.
a. Construct and interpret a 99% confidence interval for the proportion of Americans who made plans in May 2005 based on an incorrect weather report.
b. Do you think it is reasonable to generalize this estimate to other months of the year
Answers
Answer:
a) The 99% confidence interval for the proportion of Americans who made plans in May 2005 based on an incorrect weather report is (0.3798,0.4602). This means that we are 99% sure that the true population proportion is in this interval.
b) No, since May is a month with a wide range of possible weather.
Step-by-step explanation:
a)
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
42% of 1001 randomly selected adult Americans made plans in May 2005 based on a weather report that turned out to be wrong.
This means that [tex]p = 0.42, n = 1001[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 - 2.575\sqrt{\frac{0.42*0.58}{1001}} = 0.3798[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 + 2.575\sqrt{\frac{0.42*0.58}{1001}} = 0.4602[/tex]
The 99% confidence interval for the proportion of Americans who made plans in May 2005 based on an incorrect weather report is (0.3798,0.4602). This means that we are 99% sure that the true population proportion is in this interval.
b. Do you think it is reasonable to generalize this estimate to other months of the year
No, since May is a month with a vast number of possible outcomes, as it is in the spring, not being in the winter(cold) or summer(hot), which means that it can be both hot or cold, wet or dry,...
This is middle school math btw, not college.
Answers
Answer:
Step-by-step explanation:
0,5
Solve 5x ≥ 25. Graph the solution.
Answers
Answer:
Step-by-step explanation:
Alright so we are going to solve
5x ≥ 25 Divide both sides by 5
x≥5
Now select point D, and move it around. You will notice that moves with point D but remains parallel to . Check the box labeled Show Ratios of Intersected Segments to see the ratios AD : DB and AE : EC. What do you notice about the ratios as you move point D?
Answers
Answer: The ratios change as the position of D changes, but the two ratios remain equal to each other.
Step-by-step explanation:
Answer:
The ratios change as the position of D changes, but the two ratios remain equal to each other
Step-by-step explanation:
what was the main difference between the French and British armies in the French and Indian War
Answers
Hope this helps :)