3. What is the perimeter of Patrick's<br> figure?

Three streets intersect to form a right triangle as shown below. The parts of streets that make up the legs of this triangle are

Burka [1]

Answer:

70 yd.

Step-by-step explanation:

The three streets at the intersection form a right triangle.

For a right triangle, the length of the longest side (called hypothenuse) is given by Pythagorean's theorem:

$h=\sqrt{x^2+y^2}$

where

x is the length of the 1st side

y is the length of the 2nd side

h is the length of the hypothenuse

Here we want to find the hypothenuse.

We have:

x = 42 yd (length of the 1st side)

y = 56 yd (length of the 2nd side)

Substituting, we find h:

$h=\sqrt{42^2+56^2}=70 yd$

7 0

3 years ago

In a lab, a substance was heated by 6 °C each hour for 60 hours. What was the total change

Serggg [28]

The temp increased by 360 degrees since 6x60 is 360

5 0

2 years ago

What is the equation of the line that passes through the point (5,6) and has a slope of 2 ?

Serhud [2]

Answer:

y = 2x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (5, 6) into the partial equation

6 = 10 + c ⇒ c = 6 - 10 = - 4

y = 2x - 4 ← equation of line

4 0

3 years ago

Here is a list of the normal monthly precipitation (in inches) for January for 20 different U.S. cities. 4.0, 1.0, 1.5, 1.6, 2.0

shutvik [7]

Answer:

minimum value = 1.0 , the lower quartile = 2.3, the middle value = 3.5.

the upper quartile = 3.95, the maximum value = 7.3.

Step-by-step explanation:

Five Number Summary of any data consists basically of 5 data sets.

1) The minimum Value

2)The first (lower) quartile

3) The middle value (Median)

4) The third (upper) quartile

5)The maximum value

Now, the given data is 4.0, 1.0, 1.5, 1.6, 2.0, 2.2, 2.4, 2.7, 3.4, 3.4, 3.5, 3.6, 3.6, 3.7, 3.7, 3.9, 4.1, 5.8, 4.1, 7.3

Arrange it in the ascending order,

1.0, 1.5, 1.6, 2.0, 2.2, 2.4, 2.7, 3.4, 3.4, 3.5, 3.6, 3.6, 3.7, 3.7, 3.9, 4.0, 4.1, 4.1, 5.8, 7.3

Here,

1) The minimum Value is 1.0

2)The first (lower) quartile is 2.3.

3) The middle value (Median) is 3.5.

4) The third (upper) quartile is 3.95.

5)The maximum value is 7.3.

7 0

3 years ago

I need help with #3 and #4 part b please help

Svetradugi [14.3K]

<h3>Answer:</h3>

3) likely

4) 1/2; equally likely

<h3>Step-by-step explanation:</h3>

3) You are being asked to translate a numerical value to a subjective statement. There are no hard-and-fast rules for this. Generally, the meanings of the terms you're asked to choose from are ...

impossible: probability is zero. The outcome cannot occur.
unlikely: chances are less than even; often, "unlikely" means a probability of 10%, 5%, 1% or lower, depending on the context.
equally likely: probability is near 50%
likely: more likely than not. Again, this depends on the context.
certain: probability is 1. There is no chance the outcome will not occur.

An 80% probability is greater than 50%, so might reasonably be called "likely."

___

4) a. Four of the eight numbers are even, so the probability of obtaining an even number at random is 4/8 = 1/2.

b. A probability of 50% might reasonably be called "equally likely", as the probability the event will occur is equal to the probability it won't.

4 0

3 years ago

3. What is the perimeter of Patrick's figure?