Applying Pythagorean Theorem

What is the answer 9c-5=13?

riadik2000 [5.3K]

C is 2 because you have to move the 5 so you add 5 to 13 which is 18 then divide both sides by 9 so it's 2

3 0

2 years ago

Express sin UU as a fraction in simplest terms.

alukav5142 [94]

The expression of sinU as a fraction is 12/13

Find the diagram attached.

To get the fraction represented by sinU, we will use the SOH CA TOA identity.

From the diagram;

Hypotenuse = SU = 13

Opposite = ST = 12 (angle opposite to m<U)

Since sin theta = opp/hyp

SinU = ST/SU

SinU = 12/13

Hence the expression of sinU as a fraction is 12/13

Learn more on SOH CAH TOA here: brainly.com/question/20734777

5 0

2 years ago

2) Working alone, Rob can dig a 10 ft by 10 ft hole in ten hours. Shayna can dig the same hole in seven hours. Find how long it

Free_Kalibri [48]

rob can dig 1/10ft in one hour

Shayna can dig 1/7ft in one our

together they can dig

1/10+1/7

(7+10)/70 in one hour

17/70

in for hours they can dig

17/70×4

68/70

the left work is 2/70

in 60 minutes they can dig 17/70

1/70 work can be done in 60 minutes/17

2/70 work can be done in 60/17×2 minutes

7.088 minutes

for the entire work they take 4hours and 7 minutes

8 0

2 years ago

jessica weighs x+34 pounds and Ronda weighs 12 pounds less. If Jessica gains 5 pounds and Ronda loses 2 pounds, what is the sum

Vladimir [108]

Answer:

2x+59.

Step-by-step explanation:

Let J represent Jessica's weight and R represent Ronda's weight.

Jessica weighs x+34 pounds. Thus:

$J=x+34$

Ronda weighs 12 pounds less than Jessica. In other words:

$R=J-12=(x+34)-12\\R=x+22$

The sum of their weights, therefore, is:

$J+R\\=(x+34)+(x+22)=2x+56$

Now, if Jessica gains 5 pounds and Ronda loses 2 pounds, the net gain of the total weight would be 3 pounds. Thus, we only need to add 3 to the original total to find the sum of their new weights:

$2x+56+3=2x+59$

The sum of the new [weights] is represented by 2x+59.

8 0

3 years ago

What is the equation of the line of reflection in the following coordinate plane?Angle abc has the points (4, -1), (5, 1), and (

AlladinOne [14]

Answer:Question 1: Option B:

Question 2: Option D:

Solution:

Question 1:

The point on the given line are (2, 4) and (4, –2).

Slope of the given line:

m = –3.

Slope of perpendicular line = –1 ÷ Slope of the given line

Slope of perpendicular line =

Perpendicular line passing through the point (3, 1).

Slope -intercept form using point slope formula,

Option B is the correct answer.

Question 2:

The point on the given line are (0, –3) and (2, 3).

Slope of the given line:

m = 3.

Slope of parallel lines are equal.

Slope of parallel line =3

parallel lines passing through the point (–1, –1).

Point slope formula:

Option D is the correct answer.Question 1: Option B:

Question 2: Option D:

Solution:

Question 1:

The point on the given line are (2, 4) and (4, –2).

Slope of the given line:

m = –3.

Slope of perpendicular line = –1 ÷ Slope of the given line

Slope of perpendicular line =

Perpendicular line passing through the point (3, 1).

Slope -intercept form using point slope formula,

Option B is the correct answer.

Question 2:

The point on the given line are (0, –3) and (2, 3).

Slope of the given line:

m = 3.

Slope of parallel lines are equal.

Slope of parallel line =3

parallel lines passing through the point (–1, –1).

Point slope formula:

Option D is the correct answer.Question 1: Option B:

Question 2: Option D:

Solution:

Question 1:

The point on the given line are (2, 4) and (4, –2).

Slope of the given line:

m = –3.

Slope of perpendicular line = –1 ÷ Slope of the given line

Slope of perpendicular line =

Perpendicular line passing through the point (3, 1).

Slope -intercept form using point slope formula,

Option B is the correct answer.

Question 2:

The point on the given line are (0, –3) and (2, 3).

Slope of the given line:

m = 3.

Slope of parallel lines are equal.

Slope of parallel line =3

parallel lines passing through the point (–1, –1).

Point slope formula:

Option D is the correct answer.Question 1: Option B:

Question 2: Option D:

Solution:

Question 1:

The point on the given line are (2, 4) and (4, –2).

Slope of the given line:

m = –3.

Slope of perpendicular line = –1 ÷ Slope of the given line

Slope of perpendicular line =

Perpendicular line passing through the point (3, 1).

Slope -intercept form using point slope formula,

Option B is the correct answer.

Question 2:

The point on the given line are (0, –3) and (2, 3).

Slope of the given line:

m = 3.

Slope of parallel lines are equal.

Slope of parallel line =3

parallel lines passing through the point (–1, –1).

Point slope formula:

Option D is the correct answer.Question 1: Option B:

Question 2: Option D:

Solution:

Question 1:

The point on the given line are (2, 4) and (4, –2).

Slope of the given line:

m = –3.

Slope of perpendicular line = –1 ÷ Slope of the given line

Slope of perpendicular line =

Perpendicular line passing through the point (3, 1).

Slope -intercept form using point slope formula,

Option B is the correct answer.

Question 2:

The point on the given line are (0, –3) and (2, 3).

Slope of the given line:

m = 3.

Slope of parallel lines are equal.

Slope of parallel line =3

parallel lines passing through the point (–1, –1).

Point slope formula:

Option D is the correct answer.

Step-by-step explanation:

5 0

2 years ago