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Kay [80]
3 years ago
13

In ΔLMN, the measure of ∠N=90°, the measure of ∠M=17°, and MN = 20 feet. Find the length of LM to the nearest tenth of a foot.

Mathematics
2 answers:
astra-53 [7]3 years ago
4 0

Answer:

Step-by-step explanation:

70

andrey2020 [161]3 years ago
3 0
20.9 ft
This is a right triangle trigonometry question because N is 90 degrees. MN is adjacent to M and LM is the hypotenuse. Adjacent any hypotenuse use the cosine function. 
cos \theta = \frac{adj}{hyp}
plug in known values
cos(17) = \frac{20}{x}
switch cos(20) and x using the products property
x = \frac{20}{cos(17)}
plug into calculator to get 20.9 ft

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Jasmine bought 1.3 pounds of ham and 0.8 pounds of cheese from the deli and paid $11.28. She went back the following week and bo
LuckyWell [14K]
Let

x
be the price for a pound of ham
y the price for a pound of cheese

<span>1.3x +0.8y = 11.28  ....(1)
1.5x +1.2y = 14.76  ....(2)

Lets multiply (1) by -1.2
Lets multiply (2) by 0.8

-1.56x -0.96y = -13.536 .....(3)
</span> 1.2x + 0.96y = 11.808 .....(4)


If we add (3) and (4)

-0.36x = -1.728 ............> x = 4.8

We substitute in (1)

1.3(4.8) +0.8y = 11.28

y = 6.3

Price per pound of ham = x = 4.8
Price per pound of cheese = y = 6.3
5 0
3 years ago
5. Evaluate<br><br> 10+ (4 23 + 7) - 19<br> A. 30<br> B. 33<br> C. 47<br> D. 45
Lyrx [107]

Answer:

10+ (4 23 + 7) - 19

I don't know if the 4 is supposed to be multiple or subtract or to add but If it is add

4 0
3 years ago
Let U be a universal set with subsets A and B such that n(U)=118, n(A)=57, n(B′)=69, and n(A∩B)=11. Find the following:
Arturiano [62]
n(B)=n(U)-n(B')=118-69=49\\&#10;n(A\cup B)=n(A)+n(B)-n(A\cap B)=57+49-11=95\\&#10;n((A\cap B)')=n(U)-n(A\cap B)=118-11=107
4 0
3 years ago
Skylar went on a road trip to New York. On the first day of her trip. she drove 656 miles in 8 hours. What unit rate did she tra
jek_recluse [69]
656/8 = 82 mph hope this helps !
7 0
3 years ago
write the equation of a line that passes through the points (5, -7) and is perpendicular to the line -2x + 6y = -4
VashaNatasha [74]

Answer:

y= -3x + 8

Step-by-step explanation:

Put -2x + 6y = -4 into slope-interceltp form

Take the negative reciprocal of the slope.

Use this reciprocal in point-slope form

and you have,

= y= -3x + 8

<em>(EDITED)</em> Steps:

2x+6y = -4

6y=2x - 4

y= 1/3x + 2/3

if two lines are perpendicular,

m1 * m2 + -1

1/3 * m2 = -1

m2 = -3

the line perpendicular to this line is

y = -3x + k ; k ∈ R

the line passes through the point (5,-7)

so,

-7 = -3. (5) +k

-7 = -15 + k

k = 8

∴the equation of a line that passes through the point (5,-7) and is perpendicular to the line -2x+6y=-4 is

y= -3x + 8

Hope this helps, have a nice day/night! :D

6 0
2 years ago
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