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timama [110]
3 years ago
13

I WILL UPVOTE ALL ANSWERS

Mathematics
1 answer:
svetlana [45]3 years ago
4 0
The answer is C. (5,3)
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The sum of two numbers is 54. The smaller number is 18 less than the larger number. What are the numbers?
igomit [66]

Answer:

The larger number is 37.  This makes the smaller number 56 - 37, which is 19.

Step-by-step explanation:

 

The first step is to pick variables for the two numbers.  Lets call the smaller number x and the larger number y.

Since the sum of the two numbers is 56, this means that x + y = 56.  Let's call this equation 1 and save it for later.

 

The next sentence says:

The smaller number is 18 less than the larger number.  So, 18 less than the larger number would be y - 18.  So, the smaller number must be equal to this, so

 

x = y - 18

 

Replace the x in equation 1 with y - 18

 

x + y = 56

(y-18) + y = 56   (replace x with y-18)

2y - 18 = 56        (add the y's)

2y = 74               (add 18 to both sides)

y = 37                 (divide both sides by 2)

 

So, the larger number is 37.  This makes the smaller number 56 - 37, which is 19.

 

Hope this helps!!  :)

8 0
3 years ago
Use the Law of Sines to solve the triangle. (Let b = 47.7 yd. Round your answers for a and c to two decimal places.)
klio [65]

Answer:

C = 68.667°

a = 123.31 yd.

c = 114.90 yd.

Step-by-step explanation:

The missing image for the question is attached to this solution.

In the missing image, a triangle AB is given with angles A and B given to be 88° 35' and 22° 45' respectively

We are them told to find angle C and side a and c given that side b = 47.7 yd.

A = 88° 35' = 88° + (35/60)° = 88.583°

B = 22° 45' = 22° + (45/60)° = 22.75°

The sum of angles in a triangle = 180°

A + B + C = 180°

C = 180° - (A + B) = 180° - (88.583° + 22.75°) = 68.667°

The sine law is given as

(a/sin A) = (b/sin B) = (c/sin C)

Using the first two terms of the sine law

(a/sin A) = (b/sin B)

a = ?

A = 88.583°

b = 47.7 yd.

B = 22.75°

(a/sin 88.583°) = (47.7/sin 22.75°)

a = (47.7 × sin 88.583°) ÷ sin 22.75°

a = 123.31 yd.

Using the last two terms of the sine law

(b/sin B) = (c/sin C)

b = 47.7 yd.

B = 22.75°

c = ?

C = 68.667°

(47.7/sin 22.75°) = (c/sin 68.667°)

c = (47.7 × sin 68.667°) ÷ sin 22.75°

c = 114.90 yd.

Hope this Helps!!!

8 0
3 years ago
16x+9=9y-2x Solve for y
Novay_Z [31]
Y=2x+1... I hope this helps love! :)
8 0
3 years ago
A person washers c cars and earns a total of d dollars
Paha777 [63]

Answer:

because of his big work that hes doing and because he earns it

Step-by-step explanation:

3 0
3 years ago
Kaitlyh is mowing her lawn. The lawn has an area of 5,625 square feet. She can
sergiy2304 [10]

Answer:

After 5 minutes Kaitlyn have to mow 5,250 square feet of lawn.

Step-by-step explanation:

We are given the following in the question:

Total area of lawn = 5,625 square feet

Rate of mowing lawn = 75 square feet each minute

Area of lawn mowed in 5  minutes =

=\text{Rate of mowing lawn}\times \text{Time}\\=75\times 5\\=375\text{ square feet}

Square feet does Kaitlyn still have to mow after 5 minutes

=\text{Area of lawn - Area of lawn mowed in 5 minutes}\\=5625-375\\=5250\text{ square feet}

Thus, after 5 minutes Kaitlyn have to mow 5,250 square feet of lawn.

5 0
3 years ago
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