All categories

3 years ago

What is the height of this triangle between C and D

Mathematics

1 answer:

Rom4ik [11]3 years ago

8 0

Answer:

12 units

Step-by-step explanation:

To find any side length of a right triangle given two side lengths, you would use the pythagorean theorem which is a² + b² = c². In this equation, a and b represents either the height of base of the triangle, and c represents the hypotenuse of the triangle (the diagonal line - in your question it is 13). By plugging in the base and hypotenuse, you get the equation of 5² + b² = 13². 5² is equal to 25 and 13² is equal to 169, so the equation is 25 + b² = 169. Subtract 25 for both sides of the equation and you find that b² = 144. Square both sides and the missing length is 12 because √144 = 12.

You might be interested in

1/4c+5/3c-4=2-1/12 What dose c equal

Ivan

Answer:

c=71/23

Step-by-step explanation:

I think

8 0

2 years ago

Please help! I am confused

Levart [38]

I would say the 60 + 20 represents how the shirts cost the same amount. Then I would say the x either represents the cost before tax or how to find the cost of the shirts.

I hope this helps!
Good Luck!

3 0

2 years ago

Read 2 more answers

The scatter plot shows the number of customers in a restaurant for hours of the dinner services on two different Saturday nights

charle [14.2K]

A. The value y-intercept represent in the context of the problem is 50.

B. The slope of the line is -10.

C. The equation to represent the line is y= -10x+50.

D. The number of customers in the restaurant at 8:30pm is 35.

<u>Step-by-step explanation:</u>

The equation of the line is given by y=mx+c.

y is the number of customers and x is the hours.

7.00 p.m. is considered as 0.

To find the slope m = $\frac{rise}{run}.$

$rise = y_{2}-y_{1}$ .

$run = x_{2}-x_{1}$ .

From the graph, choose two points. Let us take (0,50) and (4,10).

$m=\frac{-40}{4}.$

m=-10.

∴The equation can be written as y= -10x+c.

To find the y-intercept value c, substitute any point.

Let us substitute(0,50) for instance,

50=0+c.

c=50.

The equation for the given graph is y= -10x+50.

To find the customers at the restaurant at 8.30 pm.

we know that x=0 at 7.00 pm,

∴ x=1.5 can be considered as 8.30 pm.

Substitute x=1.5 in the line equation.

y= -10(1.5)+50.

y= -15-50.

y= 35.

5 0

3 years ago

Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were all

Sergio039 [100]

Let events
A=Nathan has allergy
~A=Nathan does not have allergy
T=Nathan tests positive
~T=Nathan does not test positive

We are given
P(A)=0.75 [ probability that Nathan is allergic ]
P(T|A)=0.98 [probability of testing positive given Nathan is allergic to Penicillin]

We want to calculate probability that Nathan is allergic AND tests positive
P(T n A)

From definition of conditional probability,
P(T|A)=P(T n A)/P(A)
substitute known values,
0.98 = P(T n A) / 0.75
solving for P(T n A)
P(T n A) = 0.75*0.98 = 0.735

Hope this helps!!

3 0

3 years ago

What is an equation of the line that passes through the points (-1, 6) and<br> (-1, -5)?

kobusy [5.1K]

Answer:

x = -1

Step-by-step explanation:

(-1 , 6) ; (-1 , -5)

There is no change in x-coordinate values.

So, the is parallel to y-axis

x = -1

4 0

2 years ago