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Given:

In triangle ABC, a=74.1, b= 60.8, c=114.2.

To find:

The measure of angle C.

Solution:

According to the Law of cosine:

[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]

Substituting [tex]a=74.1,b= 60.8,c=114.2[/tex], we get

[tex]\cos C=\dfrac{(74.1)^2+(60.8)^2-(114.2)^2}{2(74.1)(60.8)}[/tex]

[tex]\cos C=\dfrac{5490.81+3696.64-13041.64}{9010.56}[/tex]

[tex]\cos C=\dfrac{-3854.19}{9010.56}[/tex]

[tex]\cos C=-0.42774145[/tex]

Taking cos inverse on both sides, we get

[tex]C=\cos^{-1}{-0.42774145}[/tex]

[tex]C=115.324312[/tex]

[tex]C=115.3^\circ[/tex]

Therefore, the correct option is d.

Answer:

we can get 2 full outfits

Answer: 58%

Step-by-step explanation:

Answer:

58%

Step-by-step explanation:

If 1468 weren't in favor of the new park, then 3462-1468=1996 people were in favor of the new park. This means the percentage of those who are in favor of the park is 1996/3462=0.5765=57.65%=58%

Answer:

-31

Step-by-step explanation:

8 - ( -5 * - 3 - 1) ÷ 2 - (6)² + 4

8 - (15 - 1) ÷ 2 - 36 + 4

8 - (14) ÷ 2 - 36 + 4

8 - 7 - 36 +4

1 - 36 + 4

-35 + 4 = -31

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

The answer is B. 9.7

Step-by-step explanation:

sin 14°=x/40

=> sin 14° X 40 = x

∴ x = 9.67≈ 9.7

Answer:

B and D

Step-by-step explanation:

D is being more detailed then A

Answer:

($42 × 7)  - ($8.25 × 8)

Step-by-step explanation:

Given that

Mike saves $42 a week for 7 weeks

And, his 8 day vacation, he plans to spend $8.25 each day

We need to find out the expression of how much he would have left

So,

Since the amount $42 is for a week

So for 7 weeks, it would be

= $42 × 7

And, he spends $8.25 each day,

And, for 8 days, it would be

= $8.25 × 8

So, the expression is

= ($42 × 7)  - ($8.25 × 8)

Answer:

361 tiles

Step-by-step explanation:

Answer:

361 1-ft square tiles.

Step-by-step explanation:

The area of the room is a square. It has the same length on each side.

To find how many square tiles you need to cover the floor of the room you need to find the area.

Squares are easy to find the area of because you only need to multiply both sides by each other.

19x19=361

To multiply easier, you can 19 by 10 which equals 190.

Then you can add.

190+190

100+100=200

90+90=180

200+180=380

380-19=361

Answer:

B. 5.6%

Step-by-step explanation:

Add all the visitors up which equals 4215.5 and do 236.9 divided by 4215.5 and you get 0.056 which converted to a percentage equals 5.6%. Hope this helps.

Answer:

1/8

Step-by-step explanation:

[tex](\frac{1}{2})^{3}[/tex]

Answer:

2

Step-by-step explanation:

Answer:

2 is the smallest number

Answer:

a

Step-by-step explanation:

Answer: $3204.06

Step-by-step explanation:

Here's the complete question:

Arnetta's monthly gross pay is $4,200. Federal withholding is 16.05% of her pay. Her other deductions total $321.30. Find her net pay.

First, we calculate the Federal witholding which will be:

= 16.05% × $4200

= 0.1605 × $4200

= $674.10

The total deduction will now be:

= $674.10 + $321.30

= $995.40

The net pay will now be:

= Gross pay - Total deductions

= $4,200 - $995.40

= $3204.06

Therefore, Arnetta’s net pay is $3204.06

Answer:

Tank A

Step-by-step explanation:

add it all up

4+8+12+16+20 = 60        5+10+15+20+25 = 75

60/75  =  4/5 = 0.8

2+4+6+8+10  = 30           3+6+9+12+15  =  45

30/45 = 2/3  = 0.667

0.8 is more than 0.667

Tank A has more fish.

Answer:

Obtuse triangle.

Step-by-step explanation:

A obtuse triangle has one angle that is larger than 90 degrees. There is a angle with 95 degrees.

Answer:

The roots are x=2, 4

Step-by-step explanation:

The roots of the parabola are where the graph crosses the x axis .

The graph crosses the x axis at x=2 and x=4

The roots are x=2, 4

Answer: 16 hours

Step-by-step explanation:

Given

Carla earns [tex]\$5[/tex] for each hour she works

Last week she earned $148 total including [tex]\$68[/tex] tip

So, the sum of hourly income and must be equal to the total money earned

Suppose she works for [tex]x[/tex] hours

[tex]\Rightarrow 5x+68=148[/tex]

[tex]\Rightarrow 5x=148-68\\\Rightarrow 5x=80\\\Rightarrow x=16\ \text{hours}[/tex]

Thus, she works 16 hours last week

Given:

The logarithmic expression is:

[tex]\log_718[/tex]

To find:

The equivalent expression of given expression by using change-of-base formula.

Solution:

The change-of-base formula is:

[tex]\log_ba=\dfrac{\log_ca}{\log_cb}[/tex]

The given expression is:

[tex]\log_718[/tex]

Using the change-of-base formula, we get

[tex]\log_718=\dfrac{\log_c18}{\log_c7}[/tex]

Where, is a constant and c>0.

Let [tex]c=10[/tex], then

[tex]\log_718=\dfrac{\log_{10}18}{\log_{10}7}[/tex]

Therefore, the correct option is a.

Answer:

hope this helps you out good luck

Answer

A

Step-by-step explanation:

Answer:

19.7°

Step-by-step explanation:

In ΔTUV, the measure of ∠V=90°, UV = 3.3 feet, and TU = 9.8 feet. Find the measure of ∠U to the nearest degree.

We make use of sine rule

TU/sin V = UV/sin U

9.8/sin 90 = 3.3/sin U

Cross Multiply

sin 90 × 3.3 = 9.8 × sin U

sin U = sin 90 × 3.3 /9.8

U = arc sin ( sin 90 × 3.3/9.8)

U = 19.7°

Answer:

red = y=(x+5)/4 -1

Step-by-step explanation:

https://www.emathhelp.net/calculators/algebra-2/parabola-calculator/?ft=vp&vx=-5&vy=-1&px=-7&py=0&ppdir=x

use this very good calculator

Answer:

The answer is C. 35/37

Step-by-step explanation:

We know that cos Θ = adjacent/ hypotenuse

so the answer is 35/37.

Answer:

it's I believe it's (A) 12 / 37

Answer: B

Step-by-step explanation:

the formula for area of a triangle is base times height divided by 2

to get the base do 12.3 x 2 = 24.6

24.6 x 25.6 = 629.76

629.76/2 = 314.88

the answer would be B

(sorry for saying the answer was A at first, i forgot to find the full base)

Answer:

B. 314.9m

Step-by-step explanation:

First, let's take a look at the formula of a triangle.

A=[tex]\frac{1}{2}[/tex](b * h) ALSO WRITTEN AS- A= [tex]\frac{(b*h)}{2}[/tex].

So, as you can see, there is only half the base provided. To get the other half, just multiply it by 2. You get 24.6m as the base.

The height is provided. It's 25.6m. Plug in your base and height values and slove.

A=[tex]\frac{24.6m * 25.6m}{2}[/tex]

A= [tex]\frac{629.76}{2}[/tex]

A= 314.88m

You then round to the nearest tenth.

The final answer is A=314.9m.

Answer: they both have four sides (quadrilateral)

Step-by-step explanation:

Answer:

Quarderlaterals with reflecting (or parrel) sides of the same length.

Step-by-step explanation:

Squares always have 4 equal sides

Parrallegrams always have two sides that are parrel to each other that are the same lenghth.