Consider best strategy to solve the problem. If 9 inches are equal to 27 feet on a map how many feet are equal to three inches

Answer:

Exact Form: −e12

Decimal Form: −0.22652348…

Step-by-step explanation:

9514 1404 393

Answer:

  a) A = 73°, C = 59°, a = 16.7

  b) A = 11°, C = 121°, a = 3.3

Step-by-step explanation:

The Law of Sines can be used to find angle C. Then the sum of angles in the triangle can be used to find angle A. The length of 'a' can be found either from the Law of Sines or the Law of Cosines at that point.

The given angle is opposite the shorter of the two given sides, so there are two possible solutions.

Acute triangle solution

The Law of Sines gives the relation ...

  sin(C)/c = sin(B)/b

  sin(C) = (c/b)sin(B)

  C = arcsin(c/b·sin(B)) = arcsin(15/13·sin(48°)) ≈ 59°

Then angle A is 132° -59° = 73°, and side 'a' is ...

  a = 13·sin(A)/sin(B) = 13·sin(73°)/sin(48°) ≈ 16.7

__

Obtuse triangle solution

The other value of arcsin(15/13·sin(48°)) is used:

  C ≈ 121°   ⇒   A = 11°

  a = 13·sin(11°)/sin(48°) ≈ 3.3

__

The two solutions are ...

  A = 73°, C = 59°, a = 16.7

  A = 11°, C = 121°, a = 3.3

We note that the drawing is of an acute triangle, so that solution may be the one that is preferred.

_____

Additional comment

In the above presentation, we have rounded angle values to the precision required by the problem statement (nearest degree). However, in the actual calculations, we have used the full calculator precision. Only the final answers have been rounded.

Answer:

A angle 7 is 6 inches

B angle 8 is 7 inches and 5 inches wide

C angle 3 is an obtuse angle, 6 inches and 9 inches wide

Answer:

Mark's Ball is thrown from a greater height off the ground. Roberto's ball reaches a greater maximum height.

Step-by-step explanation:

I took the test.

Answer:

there were 50 apples at the store. 12 of them were green, how many of the 50 apples were red?

Step-by-step explanation:

Answer: 20.8

Step-by-step explanation:

Since it is an equilateral triangle, we know the bottom is also 24. We also know that line E is bisecting the base. So using the smaller right triangle we know that the hypotenuse is 24 and one leg is 12. So use the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\12^{2} +b^{2} =24^{2} \\144+b^{2} =576\\b^{2} = 432\\b= 20.8[/tex]

Answer:

A 7:2

Step-by-step explanation:

Answer:

V≈950.78m³

Step-by-step explanation:

Answer:

672

Step-by-step explanation:

formula for axis of symmetry is

-b/2a

so

-(-6)/2

= 6/2

= 3

x = 3

Answer:

The acceleration of golf ball will be greater than the bowling ball.

Step-by-step explanation:

As the golf ball is light thing that will travel far but the bowling ball is heavier than the golf ball.So the acceleration of the golf ball will be more.

Answer:

(this is easy)

n x 3 = 48

48/3 = n

n= 16

Hannah is 16 years old.

Step-by-step explanation:

Answer:

10 1/2 sticks, or 11 sticks with half a stick left over.

Step-by-step explanation:

If every student (and there are 14 students) needs 3/4 stick of butter, the equation is 3/4 x 14 = 10 1/2

Answer:

1. Dosis de la vacuna de Oxford

Step-by-step explanation:

Answer:

Here ya go!

Step-by-step explanation:

(look at picture below

Answer:

B

Step-by-step explanation:

Assuming that he doesn't buy any upgrades it will take 280/35 = 8 months to save enough money to buy the ring. Taking the possibility that he may buy an upgrade too we can say that it will take 8 months or more to buy the ring.

Answer: 1/2

Step-by-step explanation:  I believe the answer is 1/2 because for (2,-6) and (4,-7) the rise over run is 1/2. I don't know though

Answer:

green= 3/20. black =4/20 or 1/5

Step-by-step explanation:

green = 3

black = 4

total = 20

green = 3/4

black = 4/20 = 1/5

Answer:

f(x) increases by 900% I believe

Step-by-step explanation:

Answer:

increase 900%.....................

Answer:

Did I see this quesiton before..?

Step-by-step explanation:

Answer:

24cm

Step-by-step explanation:

The ribbons they both have can be found by adding 15 to 9

15 + 9 = 24cm

Answer:

PEMDAS

Step-by-step explanation:

Just to pemdas and then you will get your answer! Parenthesis, exponents, Multiplication, Division, Addition, Subtraction

PEMDAS! :)

Answer: Center: (-7,6)

Radius: 4

Answer:

i believe it’s D

Step-by-step explanation:

Answer:

it would be 17 im positive

Step-by-step explanation:

.

Answer: A) 8

Step-by-step explanation: since there are 8 girls every boy if there are 8 girls in the program 1x8=8 so there are 8 boys. plz mark me brainliest

Answer:

the answer is A

Step-by-step explanation:

78 is acute angle because it is less than 90 degrees. A is an acute angle so thats the answer

Answer:

n = 50

Step-by-step explanation:

The sum of interior angles of a regular polygon is 24 times the size of exterior angle. Find number of sides of the polygon​

let the sum of exterior be e

Let the sum of interior be i

IF the sum of interior angles of a regular polygon is 24 times the size of exterior angle, then;

i = 24e

Also sum of exterior angle = 360/n

i + e = 180

24e + e = 180

25e = 180

e = 180/25

e = 7.2

since  sum of exterior angle = 360/n

7.2 = 360/n

n = 360/7.2

n = 50

The number of sides is 50

Answer:

no he is not correct you are supposed to divide by -5 and the correct answer is -4

Step-by-step explanation:

pls mark  brainliest

Answer:

No x doesn't equal to 15. And I know this because -5 -5 = 15 ? which is no

5 is what percent of 25? = 20