The law of cosines is a2 +62 - 2abcosC = (2. Find the value of 2abcosC.
2
4
B
A
5

Answer:

A. y - 4 = 3(x + 2)

Step-by-step explanation:

Point slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line

Plug in the slope and given point:

y - y1 = m(x - x1)

y - 4 = 3(x + 2) is the equation

So, A is the correct answer.

Answer:

the number of additional she needed is 135

Step-by-step explanation:

The computation is shown below:

GIven that

40 flowers of 16%

So for 100% it would be

= 40 ×100 ÷ 16

= 250

Now she needs to make is

= 70% - 16%

= 54%

Now the additional would be

= 250 × 54%

= 135

Hence, the number of additional she needed is 135

Answer:

Step-by-step explanation:

So put the 0-3 to the y2, 3-6 to the y4 and 6-9 to the y2

Answer:

2a+7b-5

Step-by-step explanation:

7b + 7 + 5b – 5b + 2a – 12

2a+7b+5b-5b+7-12

2a+7b-5

x = 3

I solved for x cause I wasn't exactly sure what you wanted.

Answer:

$3.75

Step-by-step explanation:

2/3 = $2.50

2.50/2 = 1.25

1.25x3 = 3.75

The price of the triple pack of gum is $3.75.

Since Bailey brought a twin pack of gum for $2, this is 50 cents less than 2/3 the cost of a triple pack of gum.

So,

[tex]2\div 3 = \$2.50\\\\2.50\div 2 = 1.25\\\\1.25\times 3 = 3.75[/tex]

Learn more about price here: https://brainly.com/question/10132345

Answer:

second option

Step-by-step explanation:

You want to isolate the 'y' in each inequality:

4x - 5y ≤ 1

-5y ≤ -4x + 1

y ≥ 4/5x - 1/5   (inequality symbol changed because we divided by a negative)

1/2y - x ≤ 3

y - 2x ≤ 6    we multipled the original inequality by 2 to eliminate the denom.

y ≤ 2x + 6

Answer:

The correct option is;

[tex]\ \underset{JS}{\rightarrow} \right |[/tex]

Step-by-step explanation:

The given diagram consists of a a starting point, J having a direction passing through the point S and the line has one arrowhead on the right pointing to infinity, which is the symbol for a ray, JS

The denotation of a ray is made by the name of the ray having an overhead arrow as follows;

ray [tex]\ \underset{JS}{\rightarrow} \right |[/tex]

Option B is correct that is [tex]\overrightarrow{JS}[/tex].

It has magnitude, direction, and follows the law of vector addition.

As the direction is given from J to S. our JS vector becomes [tex]\overrightarrow{JS}[/tex].

Thus, option B is correct that is [tex]\overrightarrow{JS}[/tex].

More about the vector link is given below.

https://brainly.com/question/13188123

Given:

[tex]\Delta PQR\cong \Delta XYZ[/tex]

[tex]PQ=3a+4[/tex]

[tex]XY=5a-12[/tex]

To find:

The value of a and PQ.

Solution:

We have,

[tex]\Delta PQR\cong \Delta XYZ[/tex]

[tex]PQ\cong XY[/tex]                            (CPCTC)

So,

[tex]PQ=XY[/tex]

[tex]3a+4=5a-12[/tex]

Isolating variable terms, we get

[tex]3a-5a=-4-12[/tex]

[tex]-2a=-16[/tex]

Divide both sides by -2.

[tex]a=\dfrac{-16}{-2}[/tex]

[tex]a=8[/tex]

Now,

[tex]PQ=3a+4[/tex]

[tex]PQ=3(8)+4[/tex]

[tex]PQ=24+4[/tex]

[tex]PQ=28[/tex]

Therefore, the value of a is 8 and the value of PQ is 28.

9514 1404 393

Answer:

  455

Step-by-step explanation:

The decrease was 30% of 650, or ...

  0.30 · 650 = 195

So, the population this year is ...

  650 -195 = 455

Answer:

455 Penguins

Step-by-step explanation:

1.) 650 x 0.30 = 195

2.) 650 - 195 = 455

Final answer: 455 Penguins

Hope this helped!

Answer:

Please check the explanation.

Step-by-step explanation:

BLUE PENTAGON

The blue shape represents the Pentagon

The length of the side a = 7

As there are 5 sides.

Thus,

The Perimeter of the Blue Pentagon = P = 5a = 5(7) = 35

Using the formula to determine the area of the Pentagon

 [tex]A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}a^2\:\:\:\:\:\:\:\:\:\:\:\:\:[/tex]

[tex]A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}\left(7\right)^2\:\:\:\:\:\:[/tex]

[tex]A\approx 84.3\:\:\:[/tex]

Thus,

The Area of the Blue Pentagon = [tex]A\approx 84.3\:\:\:[/tex]

RED PENTAGON

The red shape represents the Pentagon

The length of the side a = 4

As there are 5 sides.

Thus,

The Perimeter of the Red Pentagon = P = 5a = 5(4) = 20

Using the formula to determine the area of the Pentagon

 [tex]A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}a^2\:\:\:\:\:\:\:\:\:\:\:\:\:[/tex]

[tex]A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}\left(4\right)^2\:\:\:\:\:\:[/tex]

[tex]\:A\approx 27.5[/tex]

The Area of the Red Pentagon = [tex]\:A\approx 27.5[/tex]

Conclusion:

The Perimeter of the Blue Pentagon =  35

The Perimeter of the Red Pentagon = 20

Thus, the ratio of the perimeter is: 35/20 = 7/4

The Area of the Blue Pentagon =  84.3 = 843/10

The Area of the Red Pentagon = 27.5 = 275/10

Thus, the ratio of the Area is:

 [tex]\frac{\frac{843}{10}}{\frac{275}{10}}=\frac{843}{275}[/tex]

Answer:

59

Step-by-step explanation:

18(3)=54+5=59

I dont see why it isnt 59, talk to me in th comments

9514 1404 393

Answer:

  98°

Step-by-step explanation:

Inscribed angle FGH is half the measure of the intercepted arc FH. The measure of arc FH is identical to the measure of central angle FIH. So, angle FIH has twice the measure of inscribed angle FGH:

  ∠I = 2×∠G = 2×49°

  ∠I = 98°

Answer:

Pretty sure it's 21 degrees.

Step-by-step explanation:

Hope I helped!! :)

Sorry if it's wrong! :(

Pls mark brainlist!!!

Hello!

The answer is 21°

Since these are vertical angles, they are equal.

Have a great day!

Answer:

80

Step-by-step explanation:

Answer:

11/2

Step-by-step explanation:

Sum of angles in a triangle = 180°

84 + x +59 +x + 31 =180°

84+54+31+x+x = 180°

169 + 2x = 180°

2x = 180 - 169

2x = 11

x = 11/2

Answer: -6/2 = -3

Step-by-step explanation:

You pick 2 points and then use rise/run=y/x

Because its slanted down its negative

[tex]\huge\text{Hey there!}\\\\\\\huge\boxed{\mathsf{42 - 3\times8}}\\\huge\boxed{\rightarrow\mathsf{ 42 - 24}}\\\huge\boxed{\rightarrow\mathsf{18}}\\\\\\\\\boxed{Answer: 18}\huge\checkmark\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Answer:

They pass through origin

Step-by-step explanation:

Hope maka help

Answer:

SQT = 100

Step-by-step explanation:

A full circle equals 360 degrees, when the other angles are added up 140 + 120 = 260 which is 100 off of 360 meaning the last angle is that 100 degrees.

Answer:

64

Step-by-step explanation:

Answer:

−8d+8f+5.436564

Step-by-step explanation:

The solution of the equation 2(4-3x)+5(2x-3) = 20-5x+9 is 3.

Two or more expressions with an Equal sign is called as Equation.

The given equation is 2(4-3x)+5(2x-3) = 20-5x+9

x is the variable in the equation.

Plus and minus are the operators

Apply distributive property.

8-12x+10x-15=20-5x+9

Take the variable terms on one side and constants on other side

5x-12x+10x=20-8-15+9

3x=6

Divide both sides by 3

x=2

Hence, the solution of the equation 2(4-3x)+5(2x-3) = 20-5x+9 is 3.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ7

Answer: 25%

Step-by-step explanation:

From the question, we are told that a stuffy normally costs $12, but that this week it is on sale for $9.

The Percent of Change on the stuffy will be calculated as:

= Change / Normal cost × 100

= (12 -9) / 12 × 100

= 3/12 × 100

= 1/4 × 100

= 25%

Answer:

the second route

Step-by-step explanation:

1.5/10=0.15 miles/minute

3/15=0.2 miles/minute

0.2 is faster than 0.15

Answer:

Just look at the explanation

Step-by-step explanation:

My winter Break was really great. I got to spend time with my family! Looking back on 2020, I see that I would have iked to ask my parents for a dog before we figured out that they were allergic to them. But other than that, I am so glad that this year is over!

Answer:

12, 15, 18

Step-by-step explanation:

4x+5x+6x=45

15x=45

x=3

4x=12, 5x=15, 6x= 18

Answer:

the first box is 7, the second would be -10, but since it already has ‘x -‘, just put 10

Step-by-step explanation:

Answer:

$99

Step-by-step explanation:

First, it was on sale for 10% off. 10% = 0.1 = 1/10. 1/10 of 100 is 10, so we subtract 10 (because 10% off) to get $90. Then, the sales tax, which we add, is 10%. 1/10 of 90 is 9, so we add 9 to 90 to get our total to be $99