In triangle ABC, a=7, b=3 and cos C = 1/2. The value of c is
1. Sqrt 8
2. Sqrt 37
3. Sqrt 27
4. 4

Answers

Answer 1

Answer:

Correct option: 2 -> sqrt(37)

Step-by-step explanation:

To solve this problem, we just need to use the law of cosines. This law is used to find the third side of a triangle, when we have the two other sides and the angle between them.

The equation of the law of cosines is:

c^2 = a^2 + b^2 - 2 * a * b * cos(C)

So, we have that:

c^2 = 7^2 + 3^2 - 2 * 7 * 3 * (1/2)

c^2 = 49 + 9 - 21

c^2 = 37

c = sqrt(37)

Correct option: 2


Related Questions

list the 6 matching student numbers you found.

Answers

Answer:

12, 16

Step-by-step explanation:

hope it helps

Alvin has 2\3 cup of salad dressing. He uses 1/9 cup of salad dressing for each serving. How many servings of salad dressing can alvin make 100 points pls help

Answers

Answer:

Alvin can make six servings of salad.

Step-by-step explanation:

2/3 is equal to 6/9.

Hi there!

Convert all denominators into the same denominator:

[tex]\frac{2}{3}=\frac{6}{9}[/tex]

[tex]\frac{1}{9}=\frac{1}{9}[/tex]

Divide each terms:

[tex]\frac{6}{9}*\frac{1}{9}=6[/tex]

Final Result: 6

pls help........................​

Answers

Answer:

30 in

Step-by-step explanation:

idk how to explain, so yea:)

Evaluate 4x3 + 2 for x = -1. -6 -2 -10 -62

Answers

Answer:

-2125762

Step-by-step explanation:

what number is being factored in this factor tree?

Answers

Answer:

164

Step-by-step explanation:

82 multiplied by 2

Answer:

164

Step-by-step explanation:

2 *82=164

Dina and Masha start cycling on a 20 km bike path at the same time. When Dina reaches the end of the path, Masha still has 4 km of the path left to cycle. If Dina’s cycling speed is 10 km/h, how much time longer will Masha need to complete the path?

Answers

Answer:

30 minutes

Step-by-step explanation:

Dina took 2 hours to finish the path, since she biked at 10 km/h.

This means Masha was biking at 8 km/h because in 2 hours she only biked 16 km.

To bike 4 more km, it will take her 30 minutes or 0.5 of an hour.

Move each word into the category where it belongs

Answers

Words Related to Teeth:

dentures

dentistry

Words Related to Heat:

geothermal

thermos

Words Related to Work:

belabored (whatever that means)

laborious

Words Related to Teeth

• Dentures

• Dentistry

Words Related to Heat

•Thermos

•Geothermal

Words Related to Work

•Belabored

•laborious

Step-by-step explanation:

Hope this helped. I took the test EDG 2022. Have a great day / night ! :)

WILL GIVE BRAINIEST!! A circle has a radius of 14. Let AB be a chord of the circle, such that AB = 12. What is the distance between the chord and the center of the circle?

Answers

Step-by-step explanation:

ETA ES LA FÓRMULA:

x = [tex]\sqrt{4(14)^{2} - (12)^{2}}[/tex]/2 = 12.6

PLEASE HELP! WILL MARK BRAINLIEST ANSWER!
The histogram below represents a data distribution with uniform class widths. Which of the following is the median of the data distribution?

Answers

Answer:

5

Step-by-step explanation:

the median means the number in the middle so the number in the middle would be 5

Solve the formula A= 8/2 for r.

Answers

Answer:

The steps are :

[tex]A = \pi {r}^{2} [/tex]

[tex] \frac{A}{\pi} = {r}^{2} [/tex]

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

Therefore, the answer is B.

Answer: the answer is B.

Express the ratio of A's to N's in the word BANANA, in simplest form.


A. 2:3

B. 3:2

C. 1:2

D. 2:1

Is it B.?

Answers

Answer:

There are 3 A's and 2 N's so the answer is B.

WXYZ is a quadrilateral in the coordinate plane which Step will you help to show that WXYZ is a trapezoid. with explanation plz​

Answers

Answer:

Before starting, parallel lines are lines on the same plane that never intersect with each other. From the figure, the pairs of parallel lines would be WX & ZY and WZ and XY. The only correct statement in the choices is letter B.

Answer:

Option A

Step-by-step explanation:

In trapezoid, one pair of opposite sides are parallel.

Parallel lines have the same slope.

So , we have to find the slope of four sides and from that we can show that it is a trapezoid.

Which statement is true about the right angles ABC and DEF

Answers

The answer is the first one

What does this mean and can someone give me an example for number 1 ?

Answers

You can get 1 dollar each day
1 name trapezoid and description have 2 right angles

if a new car is valued at $23,600 and 6 years later it is valued at $8000, then what is the average rate of change of its value during those 6 years?

Answers

The change through the year is 15,000

The hypotenuse of a right triangle is 55 inches long. One leg is 2 inch(es) longer than the other. Find the
lengths of the legs of the triangle. Round your answers to the nearest tenth of an inch. Answer: The lengths are

Answers

Answer:

Step-by-step explanation:

Angles: 45°: 45°: 90°

Ratio of sides: 1:1:√2

Given c= 55

a =c/√2

a=55/√2 = 38.9

b=a+2 = 38.9+2 =41.9

The length of the legs of the triangle is 41.9

What is the right triangle?

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

Angles are: 45°: 45°: 90°

The ratio of sides: 1:1:√2

Given c = 55

a = c/√2

a = 55/√2

a = 38.9

b = a+2

b = 38.9+2

b =41.9

Thus, the length of the legs of the triangle is 41.9

Learn more about a right angle;

https://brainly.com/question/7116550

#SPJ2

What is the solution to the inequality −12>y+6

12
>
y
+
6

y<−18

y>−18

y<−6

y>−6

Answers

Answer:

y<-18

Step-by-step explanation:

37
35
Х
x =

What’s the answer?

Answers

Answer:

12

Step-by-step explanation:

use Pythagorean theorem

37^2 = 35^2 + x^2

x= ±[tex]\sqrt[2]{37^2-35^2}[/tex]

x1 = 12

x2= -12 but it is illogical as length cannot be negative

answer: x = 12

Answer: x = 12

Step-by-step explanation:

a^2 + b^2 = c^2

35^2 + b^2 = 37^2

b^2 = 1369 - 1225

b = √144 = 12

Gregory spins the spinner once. What is P(vowel)?
PLEASE HELP ME!!!

Answers

Answer:

There is two vowels and 6 sections in total

2 wanted sections / 6 total sections = 1/3

1/3 chance or 33.33333%

Step-by-step explanation:


If DEER becomes 45518, what does 25118 become?

Answers

Answer:

deer

Step-by-step explanation:

it is purul of deer

Answer: BEAAH

Step-by-step explanation:

Lucy's parents built a swimming pool in the backyard. Use 3.14 for .
40 ft
20 ft
What is the distance around the pool? The distance around the pool is 131.47 feet.
What is the area of the pool?
Can someone please help

Answers

Area = l x w = 40 x 20

= 800 sq ft.

A table contains the ordered pairs (3, 42.25) and (5, 50.75). If the relationship in the table is linear, explain how to find the initial value.

Answers

Answer:The initial value is the beginning output value, or the y-value when x = 0. The rate of change is how fast the output changes relative to the input, or, on a graph, how fast y changes relative to x. You can use initial value and rate of change to figure out all kinds of information about functions.

Because the inputs go by 2, the rate of change is half the difference of the outputs, or 4.25.

Subtract 4.25 repeatedly 3 times to get to an output with an input of 0.

Calculate 42.25 – (3 x 4.25).

The initial value is 29.50.

This scatter plot shows the relationship between students’ scores on the first exam in a class and their corresponding scores on the second exam.

Which of the following is the best estimate of the average change in the score on exam 2 associated with a 1 point increase on the score on exam 1?

A) 1/4 point
B) 1/2 point
C) 1 point
D) 2 points

Please explain your answer

Answers

Answer:

D) 2 points

Step-by-step explanation:

Compare a couple of points in the clumps of points and that is your answer

A ship is sailing due west …
Plz answer !!​

Answers

Answer:

8.75° south of west

26.3 mph

Step-by-step explanation:

Let's say that east is +x and north is +y.

The sailor's horizontal velocity is -26 mph.  The vertical velocity is -4 mph.  So the velocity vector is in the 3rd quadrant.  The direction is:

θ = tan⁻¹(-4 / -26)

θ = 188.75°, or 8.75° south of west.

The magnitude of the speed is:

v = √((-4)² + (-26)²)

v = 26.3 mph

What are the ratio as a fraction for 4:6

Answers

Answer:

[tex]\frac{4}{6}[/tex]

Step-by-step explanation:

or 4 over 6

i think this is right and i hope it helps:D

Determine the value of z in the figure answers: z = 40° z = 90° z = 20° z = 45°

Answers

Answer:

20 degrees

Step-by-step explanation:

This is a linear pair, whose sum always equals 180 degrees,

hence, we can set up the equation:

2z+140=180

2z=180-140

2z=40

z=40/2

z=20

Thus, the answer is 20 degrees

Answer:

z = 20°

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

2z+ 140 = 180

Subtract 140 from each side

2z+140-140 = 180-140

2z = 40

Divide by 2

2z/2 = 40/2

z = 20

ANSWER ALL PLS NOW I NEED THIS ANSWERED

Answers

1. 6^2

2. -5^4

3. 3^3

4. -4^3

5. a^3

6. 1/2^6

7. Base is -12 expanded is -12x-12 exponent is 2 standard form is 144

8. Base is 1/2 and expanded is 1/2x1/2x1/2 exponent is 3 standard form is 1/8

9. Base is -9 expanded is -9x-9x-9 exponent is 3 and standard form is -729

10. 8x8x8x8

11. -3x-3

12. 8x8

13. -7x-7x-7x-7x-7

14. 7x7x7

15. 3/4x3/4x3/4x3/4x3/4

1) [tex]6^{2}[/tex]

2) [tex]-5^{4}[/tex]

3) [tex]3^{3}[/tex]

4)[tex]-4^{3}[/tex]

5)[tex]a^{3}[/tex]

6)[tex]2^{6}[/tex]

7) Base= -12 Exponent=2 Expanded= (-12)(-12) Standard Form= -144

8) Base= [tex]\frac{1}{2}[/tex] Exponent= 3 Expanded= ([tex]\frac{1}{2}[/tex])([tex]\frac{1}{2}[/tex])([tex]\frac{1}{2}[/tex]) Standard Form = [tex]\frac{1}{8}[/tex]

9) Base= -9 Exponent= 3 Expanded= (-9)(-9)(-9) Standard Form= -729

10) (8)(8)(8)(8)

11) (-3)(-3)

12) (8)8)

13)(-7)(-7)(-7)(-7)(-7)

14) (7)(7)(7)

15) ([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])

HELPPPPP PLEASE IT'S URGENT!!!!!!

What is the volume of the composite figure? Express the

answer in terms of .


A) 1447 mm

B)1687 mm

C) 3121 mm

D) 4567 mm

Answers

Answer:

Step-by-step explanation:

Volume of the hemisphere

V = 2/3π x r^3

= 144π cu. mm

Volume of the cone

V = 1/3π x r^2 x h

V = 168π cu. mm.

Volume of the composite figure

= 144π + 168π

= 312π cu. mm.

for the fun of it
1 * 100000000 * 967 *0 +1

Answers

Answer:

1.

Step-by-step explanation:

By the order of operations, multiplication goes before addition. We got left to right.

As the entire resultant expression of the first two operators is multiplied by 0, we are left with 0 + 1.

0 + 1 = 1.

I hope this helps!

-12 + 7 would it be 5 -19 - 5 or 19​

Answers

Hi there!

The answer would be C. -5

Hope this helps !

Step-by-step explanation:

-12 +7

=-5 .

Therefore, 5-19-5

= -19.

In all, -12+7 can not be 5-19 or 19

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