pls help with this problem

Answer:

That is true!

Step-by-step explanation:

Given:

A figure of a triangle.

To find:

The value of g.

Solution:

Law of Cosines:

[tex]a^2=b^2+c^2-2bccosA[/tex]

Using the Law of Cosines for the given triangle, we get

[tex]g^2=8^2+7^2-2(8)(7)cos(65^\circ)[/tex]

[tex]g^2=64+49-112(0.4226)[/tex]

[tex]g^2=113-47.3312[/tex]

[tex]g^2=65.6688[/tex]

Taking square root on both sides.

[tex]g=\sqrt{65.6688}[/tex]

[tex]g=8.10363[/tex]

[tex]g\approx 8.10[/tex]

Therefore, the value of g is about 8.10 units.

Answer:

Step-by-step explanation:

Convert all the batting averages to a single unit so that comparison is easier.

Use percentages.

Jaden batting average:

= 0.214 = 214/1,000 = 21.4%

Raul = 24.3%

Abraham:

= 2 / 9 * 100%

= 22.2%

Mark = 22%

Raul has the greatest batting average.

Jaden has the least batting average.

The ordered pair of a unit circle is represented as:

[tex](x,y) \to (\sin(\theta),\cos(\theta))[/tex]

The point where the terminal side of [tex]\tehta[/tex][tex]\theta[/tex] intersect with the unit circle is: 240

The given parameter can be represented as:

[tex](x,y) \to (-\frac{\sqrt 3}{2},-\frac{1}{2})[/tex]

This means that:

[tex]\sin(\theta) = -\frac{\sqrt 3}{2}[/tex]

[tex]\cos(\theta) = -\frac{1}{2}[/tex]

Let the angle between the x-axis and the terminal side be [tex]\alpha[/tex]

So, we have:

[tex]\theta = 180 + \alpha[/tex]

Using [tex]\cos(\theta) = -\frac{1}{2}[/tex]

The equation becomes

[tex]\cos(180 + \alpha) = -\frac{1}{2}[/tex]

Apply cosine formula

[tex]\cos(180)*\cos(\alpha) - \sin(180)*\sin(\alpha) = -\frac{1}{2}[/tex]

[tex]-1*\cos(\alpha) - 0*\sin(\alpha) = -\frac{1}{2}[/tex]

[tex]-1*\cos(\alpha)= -\frac{1}{2}[/tex]

Divide both sides by -1

[tex]\cos(\alpha)= \frac{1}{2}[/tex]

Take arccos of both sides

[tex]\alpha= \cos^{-1}(\frac{1}{2})[/tex]

[tex]\alpha= \cos^{-1}(0.5)[/tex]

[tex]\alpha= 60[/tex]

Recall that:

[tex]\theta = 180 + \alpha[/tex]

[tex]\theta = 180 +60[/tex]

[tex]\theta = 240[/tex]

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Answer:

21

Step-by-step explanation:

Dr James ordered 56 pizzas for the teachers.

Of the pizzas ordered, 2/7 of them were pepperoni,

Number that were pepperoni = 2/7 × 56 pizzas

= 16 pizzas were pepperoni

19 were cheese , and the rest were veggie pizzas.

How many of the slices were veggie?

The number of veggie slices is calculated as:

Veggie slices = Total number of pizzas - ( Number of Pepperoni + Number of Cheese)

= 56 - ( 16 + 19)

= 56 - 35

= 21

The number of veggies is 21

Answer:

It was a percentage increase of 15.15%

Step-by-step explanation:

1140 is greater than 990, so it is an increase in scores

Percentage increase = (change in score / first score) x 100

change in score = second score - first score

1140 - 990 = 150

(150 / 990) x 100 = 15.15%

Answer:

5/6

Step-by-step explanation:

(-6 - 4) / (3 * -4)  [substitute a and b]

-10 / -12  [multiply the values in parenthesis]

5 / 6  [simplify by dividing by the common factor 2]

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

[tex]\frac{b+a}{3a} \\\\\frac{-6-4}{3(-4)} \\\\\frac{-10}{-12} \\\\\frac{5}{6}[/tex]

Answer:

8

Step-by-step explanation:

12.50(8) =100 +20 = 120

Answer:

p=8

Step-by-step explanation:

First we have to try all of the options to see if it is right

12.50(8)+20=120

(12.50*8)+20=120

100+20=120

120=120

Yay! The first one was right!

Answer:

7

Step-by-step explanation:

Answer:

321 AED

Step-by-step explanation:

2497 - 2176 = 321 AED

Answer:

x(12y+4)

Step-by-step explanation:

Answer: 7000.

Step-by-step explanation:

Answer:

700,000

Step-by-step explanation:

70000 ÷ 10% = 700000

Answer:

The amount of steel used = 94.38 [tex]m^{2}[/tex]

Step-by-step explanation:

Height of the tank = 4.5 m.

Diameter of the tank = 4.2 m.

But,

radius = [tex]\frac{diameter}{2}[/tex]

           = [tex]\frac{4.2}{2}[/tex]

radius  = 2.1 m

Total surface area of a cylinder = 2[tex]\pi[/tex]rh + 2[tex]\pi[/tex][tex]r^{2}[/tex]

                                      = 2[tex]\pi[/tex]r(r + h)

                                      = 2 x [tex]\frac{22}{7}[/tex] x 2.1 (2.1 + 4.5)

                                      = 44 x 0.3 (6.6)

                                      = 87.12

Total surface area of a cylinder = 87.12 [tex]m^{2}[/tex]

Since [tex]\frac{1}{12}[/tex] of the steel was wasted, then;

[tex]\frac{1}{12}[/tex] x 87.12 = 7.26 [tex]m^{2}[/tex]

Actual area of steel sheet used = 87.12 + 7.26

                                                     = 94.38 [tex]m^{2}[/tex]

Thus, 94.38 [tex]m^{2}[/tex] of steel was used in making the tank.

Answer:

Step-by-step explanation:

26

Step-by-step explanation:

3x + 2x = 50 = 180

5x = 130

x = 26

Answer:

6

Step-by-step explanation:

Answer:

u use like 4/6=2/3=0.6

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Answer:

I'm sorry but I can't see it lol.. maybe try taking a clear pic ya know.

Answer:

GH = 20

Step-by-step explanation:

Here, we want to get the numerical length of GH

from what we have, G is on FH

What this could mean is that;

FG + GH = FH

x + 5x = 4x + 8

6x = 4x + 8

6x-4x = 8

2x = 8

x = 8/2

x =4

Recall;

GH = 5x

GH = 5(4)

GH = 20

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Answer:

1/3 is less than 2/3

7/9 is greater than 2/3

4/10 is less than 2/3

4/6 is equal to 2/3

Answer: x = -4

Step-by-step explanation:

-4 + 4 = 0

if  y = 0 then X will be -4

Answer:

hello

Step-by-step explanation:

answer is x=-4

because if we add

4-4=0

x+4=0

-4+4=0

Answer:

35.859375?

Step-by-step explanation: ;-;

Answer:

m = 10

Step-by-step explanation:

The values of w is inversely proportional to m

Mathematically:

w ∝ 1/m

w = k × 1/m

w = k/m

Where k is the Constant of Proportionality

Step 1

Solve for k

If w=8 then m=25

w = k/m

8 = k/25

Cross Multiply

k = 25 × 8

k = 200

Step 2

what is m when w=20? Show me the steps please

We solve for m

w = k/m

k = 200

20 = 200/m

Cross Multiply

20m = 200

m = 200/20

m = 10

293k = 293- 273

= 20°C