2) Use the law of sines to find the length of SR
sin⁡(A)/a=sin⁡(B)/b=sin⁡(C)/c

Answer:

z = -4 1/2

Step-by-step explanation:

1. First change the mixed fractions to improper fractions so it's easier

[tex]\frac{16}{5\\}/(z-\frac{1}{2}) = \frac{8}{3}/(z+\frac{1}{3})[/tex]

2. Simplify

[tex]\frac{32}{5(2z-1)} = \frac{8}{3z+1}[/tex]

3. Cross multiply

[tex]32(3z+1) = 5(2z-1) * 8[/tex]

4. Simplify again (distributive property)

[tex]32(3z+1) = 40(2z-1)[/tex]

5. Distributive property

[tex]32(3z+1) -> 96z+32[/tex]  

[tex]40(2z-1) -> 80z-40[/tex]

[tex]96z+32=80z-40[/tex]

6. Subtract 32 from both sides

[tex]96z+32-32 = 80z-40-32[/tex]

7. Simplify

[tex]96z = 80z-72[/tex]

8. Subtract 80 from both sides

[tex]96z-80z=80z-72-80z[/tex]

9. Simplify

[tex]16z=-72[/tex]

10. Divide both sides by 16

[tex]\frac{16z}{16}=\frac{-72}{16}[/tex]

11. Simplify

[tex]z=-\frac{9}{2} -> also = -4\frac{1}{2}[/tex]

Sorry if it was too long but hope this helps! :)

And also try using symbolab cuz it gives step by step explanations it's really good!

Answer:

405 feet

Step-by-step explanation:

s = 2 * (√5) * 90

s = 2 * 201.246117975

s = 402.49223595

Closest estimate

405 feet

Answer:

Since The equation that depicts the motion of the Car is given.

The speed in terms of the tire marks...

s= 2√5x

where x is the tire marks(in feet.)

s is the speed(miles per hr)

We can't use the speed in Miles per hr when the tire mark is feet.

1mile = 5280ft

90miles x 5280ft/1mile = 475,200ft/hr

Making x the subject

x= s/2√5

x= 475/200/(2√5 )

=106,257ft

I still can't see what I'm missing or You sure you didn't forget to add something else to the question?

Answer:

r ≈ 0.28

Step-by-step explanation:

[tex]r=\sqrt{\frac{A}{\pi } }[/tex]

[tex]r=\sqrt{\frac{0.25}{\pi } }[/tex]

0.28209

≈ 0.28

Answer:

Step-by-step explanation:

4x-5+3x+5+40=180 degree(sum of interior angles of a triangle)

7x+40=180

7x=180-40

x=140/7

x=20

Answer:

136

Hypothenus² = Opposite² + Adjacent²

H²= 110² + 80²

H²= 18500

H= √18500

H = 136m

Answer:

12.78375

Step-by-step explanation:

7.25% of 10.50 = 0.76125

0.76125 × 3 = 2.28375

10.50 + 2.28375 = 12.78375

So his friend will owe him 12.78375

The number of half page advertisements that Michael purchased is 5 while the full page advertisements is 8.

Let the number of half page ads be represented by h

Let the number of full page ads be represented by f.

Therefore, the system of equations to represent the situation will be:

h + f = 13 ....... i

40h + 75f = 800 ........ ii

From equation i,

h = 13 - f ....... equation iii

Put the value of h into equation ii

40h + 75f = 800

40(13 - f) + 75f = 800

520 - 40f + 75f = 800

Collect like terms

75f - 40f = 800 - 520

35f = 280

f = 280/35

f = 8

The number of full-page advertisements that Michael purchased is 8.

Since h + f = 13

h + 8 = 13

h = 13 - 8

h = 5

The number of half page advertisements that Michael purchased is 5.

Read related link on:

https://brainly.com/question/24429956

Answer:

68

Step-by-step explanation:

[tex]\begin{gathered}\dfrac{12}{27}=\dfrac{12:3}{27:3}=\dfrac{4}{9}\\\\\dfrac{12}{27}=\dfrac{12\cdot2}{27\cdot2}=\dfrac{24}{54}\\\\\dfrac{12}{27}=\dfrac{4}{9}=\dfrac{4\cdot2}{9\cdot2}=\dfrac{8}{18}\\\vdots\end{gathered}[/tex]

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Fractions equivalent to [tex] \frac{12}{27} [/tex] are :-

[tex] \frac{12 \div 3}{27 \div 3} \\ = \frac{4}{9} [/tex]

[tex] \frac{12 \times 2}{27 \times 2} \\ = \frac{24}{54} [/tex]

[tex] \frac{12 \times 3}{27 \times 3} \\ = \frac{36}{81} [/tex]

✐ 3 fractions equivalent to [tex] \frac{12}{27} [/tex] are ⇻ [tex] \frac{4}{9} , \: \frac{24}{54} , \: \frac{36}{81} [/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

9.42m

Step-by-step explanation:

I took this on a test. Was extremely difficult, but I remembered the answer after my 4th retake

Answer:

23

Step-by-step explanation:

The difference between the 23.827 - 1.218

23.827 - 1.218 = 22.609

By rounding to the nearest whole number it is 23.  

Answer:

14 sides

Step-by-step explanation:

Sum of the interior angles of a polygon is given by the formula (n-2)180°. So (n-2)180° = 2160°. So the polygon has 14 sides.

Answer:

86.13 cm²

Step-by-step explanation:

the area of the entire fig =

(½×3.14×3²) + (½×(10+6)×9)

= (14.13)+(72) = 86.13

Answer:

2k + 4

Step-by-step explanation:

David,

Start by performing the indicated multiplication:

5(k+2)-3(k+2) becomes 5k + 10 - 3k - 6.

Next, combine like terms:  5k - 3k + 10 - 6 becomes 2k + 4

This 2k + 4 is the desired simpler result.

Answer:

B: 6

the heights between 45 and 55 are : 46, 49, 50, 50, 52,52

thats 6 students

Step-by-step explanation:

please mark brainliest

Answer:

I think the answer I think the answer would be 14

Nisbah sebara : nisbah yg mempunyai bentuk terendah yg sama

Pasangan nisbah yang berkadaran : nisbah yg mempunyai bentuk terendah yg sama

Answer:

friend me on here and imma send you the link Step-by-step explanation:

Answer:

44

Step-by-step explanation:

Step 1: Create an equation to solve for ∠Z

Recall that trig ratio tangent = Opposite over Adjacent

Opposite of ∠Z = 75 and adjacent of ∠Z = 79

Hence, [tex]tan(z)=\frac{75}{79}[/tex]

We now solve for z

Step 1: Multiply each side by the inverse of tan ( tan ) ^-^1

[tex]tan(z)*tan^-^1=z\\tan^-^1(\frac{75}{79} )=43.51213147[/tex]

We're left with z = 43.51213147

Our last step is to round to the nearest degree,

We get that ∠Z = 44

Answer:

X = 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

6x-1+3x+5x+3+4x+8+5x+5=360 degree(sum of exterior angle of a pentagon is 360 degree)

23x+15=360

23x=360-15

x=345/23

x=15

therefore the value of x is 15 degree.

Answer:

146 Ounces.

Step-by-step explanation:

9.125 [tex](\frac{1}{8})[/tex] lbs to ounces.

Multiply the mass value by 16.

To Check Work:

Divide 146 by 16 which equals [tex]\frac{73}{8}[/tex]/ 9.125.

Divide 146 by 9.125 [tex](\frac{1}{8})[/tex] which equals 16.

The answer is 5 + 50 + 500+5000= 5555

Answer:

D

Step-by-step explanation:

The mean of a standard normal distribution is always = 0 with the standard deviation being equal to. Therefore a standard normal distribution is a normal distribution described with a mean of 0 and standard deviation of 1. Since a standard normal distribution is centered at the middle with equal distribution to both the left and right of the distribution. The centre point is 0, which is the mean and the standard deviation is 1 to either side of the distribution.

4 68⁄375 is the purpose answer

Answer:

[tex]\lim_{t \to \ 16} (t-16)(t-4) =0[/tex]

Step-by-step explanation:

g(t)= (t-16)(t-4)

(a) Then, we have,

t                       g(t)

15.9                 -1.19

15.99            -0.1199

15.999       -0.011999

Also, we have,

t                         g(t)

16.1                     1.21

16.01                 0.1201

16.001             0.012001

(b) We can see, from the above table that as 't' tends to 16 from the left hand side, the value of g(t)= (t-16)(t-4) is tending to 0 from the negative direction.

Similarly, from the second table, we can see that as 't' tends to 16 from the right hand side, the value of g(t)= (t-16)(t-4) is tending to 0 from the positive direction.

Thus, we can say that [tex]\lim_{t \to \ 16-} (t-16)(t-4)[/tex] & [tex]\lim_{t \to \ 16+} (t-16)(t-4)[/tex], i.e., the left hand limit and right hand limit of g(t)= (t-16)(t-4), at t=16, both exist and is both equal to 0.

Since both these limits exist and are equal, we can say, [tex]\lim_{t \to \ 16-} (t-16)(t-4) = \lim_{t \to \ 16+} (t-16)(t-4) = \lim_{t \to \ 16} (t-16)(t-4) = 0[/tex]