6) solve the equation for m

Given:

In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°.

To find:

The value of  ∠K to the nearest 10th of a degree.

Solution:

According to the Law of Sine:

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

We have, In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°.

Using the Law of Sine, we get

[tex]\dfrac{j}{\sin J}=\dfrac{k}{\sin K}[/tex]

[tex]\dfrac{3.8}{\sin (63^\circ)}=\dfrac{4.1}{\sin K}[/tex]

[tex]3.8\sin K=4.1\sin (63^\circ)[/tex]

[tex]\sin K=\dfrac{4.1\sin (63^\circ)}{3.8}[/tex]

[tex]\sin K=0.961349[/tex]

[tex]K=\sin^{-1}(0.961349)[/tex]

[tex]K=74.0182[/tex]

[tex]K\approx 74.0[/tex]

Therefore, the measure of angle K is 74.0 degrees.

Answer:

try 45 its a great answer

Answer:

B 7

Step-by-step explanation:

7 x n = 42 +7

42+7=49

7xn=49

49÷7 = 7

n=7

Answer:

50.528º

Step-by-step explanation:

tanA = BC/BA

tanA = 17/14

A = 50.528º

[tex]8 \sqrt{5} is \: the \: length[/tex]

Step-by-step explanation:

[tex]( {16})^{2} = ( {x})^{2} - ( {8})^{2} \\ 256 = {x}^{2} - 64 \\ 256 + 64 = {x}^{2} \\ \sqrt{320} = \sqrt{ {x}^{2} } \\ 8 \sqrt{5} = x[/tex]

Answer:

y=3 over -6x + 5

Step-by-step explanation:

put the 3 and -6 in a fraction

Answer:

distributive property

Step-by-step explanation: I am 88% sure

Answer:

-3, 6

Step-by-step explanation:

The solution is where the two lines intersect.

Answer:

should be (-3,6)

Step-by-step explanation:

Answer:

A

Step-by-step explanation: ITS RIGHTTTTTTTTTTTTTTTTT

Answer:

1/12

Step-by-step explanation:

I did reverse equations, trust me. Also mark as brainliest

Answer:

D 15 ounces

Step-by-step explanation:

If 5 ounces for 20 cupcakes

60/ 20 =3

5 x 3 = 15

Hope this helps ^-^

Answer:

M=-36

Step-by-step explanation:

Answer:

m = - 36

Step-by-step explanation:

57=−3(m+5)+m  

57=−3(m+)+m

57=(−3)(m)+(−3)(5)+m(

57=−3m+−15+m

57=(−3m+m)+(−15)(

57=−2m+−15

57=−2m−15  

−2m−15=57  

−2m−15+15=57+15

−2m=72 div 2

Answer:

Input x 0 1 2

Output y -1 2 5

Step-by-step explanation:

just plug in all the answers for x and solve the equation. like this:

y=3*0-1=

y=0-1=

y= -1

---------------------

y=3*1-1=

y=3-1=

y=2

--------------------------

y=3*2-1=

y=6-1=

y=5

------------------------

all the results match with the table

hope I helped God bless you

Answer:

Zb= 54°

Step-by-step explanation:

Complementary angles add up to 90°

90-37=54

Answer:

20 inches.

Step-by-step explanation:

We equate the perimeters:

5(x - 2) = 4(1/2x + 2)

5x - 10 = 2x + 8

5x - 2x = 8 + 10

3x = 18

x = 6

The perimeters = 5(6-2)

= 20 inches.

Answer:

[tex]\sqrt{10}[/tex]

Step-by-step explanation:

This is a 45-45-90 triangle whose leg to hypotenuse ratio is 1 / [tex]\sqrt{2}[/tex]

so I set up a proportion of 1 / [tex]\sqrt{2}[/tex] = x / 2 [tex]\sqrt{5}[/tex]

cross-multiply to get [tex]\sqrt{2}[/tex]x = 2[tex]\sqrt{5}[/tex]

x = 2[tex]\sqrt{5}[/tex] / [tex]\sqrt{2}[/tex] and multiply numerator and denominator by [tex]\sqrt{2}[/tex], this is called rationalizing the denominator

lets do

[tex]\\ \sf\longmapsto \sqrt{2}x=2\sqrt{5}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{2\sqrt{5}}{\sqrt{2}}[/tex]

[tex]\\ \sf\longmapsto x=\sqrt{2}\sqrt{5}[/tex]

[tex]\\ \sf\longmapsto x=\sqrt{2(5)}[/tex]

[tex]\\ \sf\longmapsto x=\sqrt{10}[/tex]

Answer:

Interest: $1440

Total Account Balance: $5440

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 1.2%/100 = 0.012 per year,

then, solving our equation

I = 4000 × 0.012 × 30 = 1440

I = $ 1,440.00

The simple interest accumulated

on a principal of $ 4,000.00

at a rate of 1.2% per year

for 30 years is $ 1,440.00.

The simple Interest is $1440 and the total Account Balance: $5440.

Simple interest is calculated just on the loan's principal amount, whereas compound interest is calculated on both the principal and the cumulative interest.

First, converting R percent to r a decimal,

r = R/100 = 1.2%/100 = 0.012 per year,

Then, solving our equation,

I = 4000 × 0.012 × 30 = 1440

I = $ 1,440.00

The simple interest accumulated,

on a principal of $ 4,000.00

at a rate of 1.2% per year

for 30 years is $ 1,440.00.

Therefore, the simple Interest is $1440, and the total Account Balance: $5440.

To know more about simple interests follow

https://brainly.com/question/2294792

#SPJ2

Answer:

_24

Step-by-step explanation:

x −1 −2 −3

y 4 6.5 9

Function 2

Answer:

approx 2960.53 minutes

Step-by-step explanation:

Answer: -2.4 gallons per hour

Step-by-step explanation:

Think of this as a linear equation where the rate of change is m.

m = (Y₂ - Y₁) / (X₂ - X₁)

Assume the points are: (2, 15) (7, 3)

m = (3 - 15) / (7 - 2)

= (-12) / 5

= - 2.4 gallons per hour

Gas is reducing by 2.4 gallons per hour.

Step-by-step explanation:

1st one

y=4x-3

2nd one

y=4-3x

Answer:

Yes

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

to solve for m, you need to leave the m by itself.

since 14(1/6) on the m side, it needs to be eliminated. To do that, you need to subtract 14(1/6) on both sides. Therefore, the answer is B.

ok answer this, 7x150+10 and that should be your answer.

Answer:

x=20

Step-by-step explanation:

 there are two intersecting lines with two pairs of opposite angles each of the pairs are called vertical angles and if two angles are vertical, they are congruent

we know the angles are congruent, we also know (150=7x+10) and in order to solve for x we have to isolate x by subtracting 10 to both sides giving us  (140=7x )

divide by seven on both sides to isolate x and that will give you x=20.

hope this helps :) have a nice day !!

Answer:

5y+45

Step-by-step explanation: