match each term to its definition

Answer:

b. A = 71.6°; C = 45.40°; b =15.0

Step-by-step explanation:

The missing values can be found with the help of the Law of Cosine and properties of triangles:

Side b (Law of Cosine)

[tex]b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}[/tex]

[tex]b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}[/tex]

[tex]b \approx 15.022[/tex]

Angle A (Law of Cosine)

[tex]\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}[/tex]

[tex]\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}[/tex]

[tex]\cos A = 0.315[/tex]

[tex]A= \cos^{-1} 0.315[/tex]

[tex]A \approx 71.639^{\circ}[/tex]

Angle C (Sum of internal angles in triangles)

[tex]C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}[/tex]

[tex]C = 45.361^{\circ}[/tex]

Hence, the right answer is B.

Answer: [tex]6<z<18[/tex]

Step-by-step explanation:

Use the pythagorean theorem to find z first.

[tex]c^2=a^2+b^2\\c=\sqrt{a^2+b^2}[/tex]

a = 12

b = 6

c = z

[tex]c=\sqrt{(12)^2+(6)^2}\\ c=\sqrt{144+36}\\ c=\sqrt{180} \\c=13.4[/tex]

z is greater than a and b

Answer:

number 1 is 5 inches

Step-by-step explanation:

it fits in the 15 inches 3 times.

5*3=15

Answer:

y = 8x

Step-by-step explanation:

a  y = 8x

 40 = 8*5

 40 = 40

This is a solution

Answer:

C. 0.000021

Step-by-step explanation:

Each roll of the die is an independent event.

The probability of rolling a 1, then a 2, then a 3, then a 4, then a 5, then a 6 is the product of the 6 individual probabilities.

Probability of rolling a 1:

There are 6 possible outcomes, rolling 1, 2, 3, 4, 5, or 6.

There is one desired outcome, rolling a 1.

p(1) = 1/6

Probability of rolling a 2:

Similar to rolling a 1, there is 1 desired outcome,rolling a 2, out of 6 possible outcomes.

p(2) = 1/6

The same is true for rolling a 3, 4, 5, or 6. Each one has a probability of 1/6.

p(1, 2, 3, 4, 5, 6, in that order) = p(1) * p(2) * p(3) * p(4) * p(5) * p(6)

= (1/6)^6

= 1/6 * 1/6 * 1/6 * 1/6 * 1/6 * 1/6

= 1/46,656

= 0.000021433

Answer: C. 0.000021

Answer: Hi! I'd love to help you but I'd need to see the graph.

Step-by-step explanation: Can you add a picture?

Answer: E. 2/3

Step-by-step explanation:

Division is the same thing as fractions. So 2 divided by 3 is the same thing as 2/3

Answer:

E.

Step-by-step explanation:

A) 3(1/2)= 3/2= 1 1/2 X

B) 3/1(2/3)= 6/3= 2 X

C) 2(3)= 6 X

D) 3/2= 1 1/2 X

E) 2/3= 2/3 lol

This would make it E

Answer: The missing coordinate R is 5.

Step-by-step explanation:

11=1/2(-4) + B

11=-2 +B  

B= 13

B represents the y-intercept

so we will use the equation y=mx + B  and we know the slope and y intercept.

r= 1/2(-16) + 13

r= 5

Answer:

No, there isn't enough information to prove that the lateral faces are rectangles

Step-by-step explanation:

Answer:

a = 70

Step-by-step explanation:

a = h * b / 2

a = 10 * 14 / 2

a = 140/2

a = 70

Answer:

I believe it’s 1/2

Step-by-step explanation:

Take a point on the graph and use rise over run method

Answer:

Step-by-step explanation:

You can find the slope by picking a point such as (8,5).

Slope = rise over run.

(8,5) is 8 units right and 5 units up, thus the slope is 5/8

Hope this helps.

Answer:

y = 7/5x + 4

Step-by-step explanation:

use the slope from the equation -5/7 and take the negative reciprocal to get the perpendicular slope = 7/5. Then use the equation y=mx+b. Plug in x and y from the point given and the new slope and solve for b.

(-3) = (7/5)(-5) + b, (-3) = -7 + b, add 7 to both sides. b = 4. Rewrite the equation now to be y = 7/5x + 4

Answer:

y=mx+b

Step-by-step explanation:

Hope this helps.

Answer:

Idk what you need but here is everything possible

Step-by-step explanation:

Paul = 36kg

Felix = 18kg

Frank = 22kg

36+18+22=76

Their weight all together is 76kg.

Answer:

Paul is 36 kg

Felix is 18 kg

Frank is 22 kg

Step-by-step explanation:

Pauls answer is in the question (36kg)

Felix is half of paul 36/2=18

Frank is 4 kg more than Felix 36/2=18  18+4=22

Answer:

1)3/4

2)3

3)12 MILES

4)2.5 pounds

5)5/8 pounds

am not sure but hopefully it helps you!!!!!!

Answer:

the person above is correct

Step-by-step explanation:

Answer: The answer is 10,000

Step-by-step explanation:

10^4 is equal to 10,000

10^4 to the second power means that you have too add 4 zeros to the end of the number.

Since 10 already has a 0, you would add 3 more.

Therefore, the answer would be 10,000.

(Your Welcome)

Answer:

10^4 is equal to 10,000

10^4 to the second power means that you have too add 4 zeros to the end of the number.

Since 10 already has a 0, you would add 3 more.

Therefore, the answer would be 10,000.

Answer:

I think the 8 cm one :D

Answer:

26

Step-by-step explanation:

The mean absolute deviation of the data is 11.

The mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean.

To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values.

Given: The data below show the weights, in pounds, of a group of professional football players.

325, 310, 289, 288, 285, 285, 285, 280, 280, 273

The mean of the data set is 290 pounds.

How to find the mean absolute deviation of the data

set, to the nearest whole number?

The average absolute deviation is

[(325-290)+(310-290)+|(289-290)|+|(288-290)|+3|(280-290)|+21(280-290)|+|(273-290)|]/10

=> (35+20+1+2+5+5+5+10+10+17)/10

=> 11.

Learn more about mean on : https://brainly.com/question/16432219

#SPJ2

Answer:

A) y = 1.875x + 1.25

B) 35 pounds

Step-by-step explanation:

A) We need two points to define a line. To find an equation that would describe the line of best fit, we can use one of the first points and one of the last points. Let's use (2, 5) and (10, 20).

General equation of a line:

y = mx + b

Slope of the line:

m = (20 - 5)/(10 - 2) = 1.875

y-intercept is found replacing a known point and the slope into the general  equation:

5 = 1.875*2 + b

b = 5 - 1.875*2 = 1.25

The final equation is:

y = 1.875x + 1.25

where y represents weight (in pounds) and x represents age (in months)

B) At x = 18:

y = 1.875*18 + 1.25 = 35

Step-by-step explanation:

203*205

(200+3)*(200+5)

200²+200(5+3)+15

40000+3000+15

403015

Answer:

$25,750

Step-by-step explanation:

25000 x 3%=750

25000+750

Answer:

25,750.

Explanation:

Step one: Find what 3 percent of 25000 is.

25000 divided by 3 (tax percentage)

3% of 25,000 =750

Step two: add that to the original cost of the SUV.

25,000 (original cost) + 750 (3% of original cost) = 25,750

Please mark as brainliest,I need a few more :D

Answer:

12

Step-by-step explanation:

The formula for the tangent of an angle is the length of the opposite side divided by the length of the adjacent side. Therefore, the tangent of angle x is 420/2000=0.21. Taking the arctangent of that to get the angle, you get about 12 degrees. Hope this helps!

Answer:

.76

Step-by-step explanation:

Answer:

7/22

Step-by-step explanation:

Probability of picking a red sock the first time: 7/12

Probability of picking a red sock the second time: 6/11 (Since you already took out one sock, thus decreasing both the number of red and total socks in the drawer.)

7/12 * 6/11  = 42/132

42/132 = 7/22

Answer:

A

Step-by-step explanation:

Answer:

6-5-4=z

9+3=12

Step-by-step explanation:

Expressions has no equal sign