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prisoha [69]
3 years ago
6

Is shape Il similar to shape III? Why or why not?

Mathematics
1 answer:
mote1985 [20]3 years ago
8 0

Answer:

Step-by-step explanation:

Yes.

Both are squares. All squares are similar because they all have 4 right angles and 2 sets of parallel lines and 4 equal sides. The right angle is what makes them similar.

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A biologist has been observing a tree's height. This type of tree typically grows by 0.22 feet each month. Fifteen months into t
Lyrx [107]

Data:

x: number of months

y: tree's height

Tipical grow: 0.22

Fifteen months into the observation, the tree was 20.5 feet tall: x=15 y=20.5ft (15,20.5)

In this case the slope (m) or rate of change is the tipical grow.

m=0.22

To find the line's slope-intercep equation you use the slope (m) and the given values of x and y (15 , 20.5) in the next formula to find the y-intercept (b):

\begin{gathered} y=mx+b \\ 20.5=0.22(15)+b \\ 20.5=3.3+b \\ 20.5-3.3=b \\ 17.2=b \end{gathered}

Use the slope(m) and y-intercept (b) to write the equation:

\begin{gathered} y=mx+b \\  \\ y=0.22x+17.2 \end{gathered}A) This line's slope-intercept equation is: y=0.22x+17.2

B) To find the height of the tree after 29 months you substitute in the equation the x for 29 and evaluate to find the y:

\begin{gathered} y=0.22(29)+17.2 \\ y=6.38+17.2 \\  \\ y=23.58 \end{gathered}Then, after 29 months the tree would be 23.58 feet in height

C) In this case as you have the height and need to find the number of moths you substitute the y for 29.96feet and solve the equation for x, as follow:

\begin{gathered} 29.96=0.22x+17.2 \\ 29.96-17.2=0.22x \\ 12.76=0.22x \\ \frac{12.76}{0.22}=x \\  \\ 58=x \end{gathered}Then, after 58 months the tree would be 29.96feet tall
3 0
1 year ago
What is a number sequence<br>​
disa [49]

Answer:

A number sequence is a list of numbers that are linked by a rule. If you work out the rule, you can work out the next numbers in the sequence. In this example, the difference between each number is 6. So the rule for this sequence is to add 6 each time. So now you can work it out the next number. 27 + 6 = 33.

4 0
3 years ago
Tommy and Erin are building a skateboard ramp. They want the ramp to be 3 feet tall and 5 feet long. Tommy thinks that they can
UNO [17]

Answer:

The answer is below

Step-by-step explanation:

The ramp has the form of a triangle. The height of the ramp is the vertical side of a triangle, the top of the frame is the hypotenuse while the length of the ramp is the base side of the triangle.

Let the hypotenuse be b, length be a and height be c Hence:

b² = a² + c²

b² = 3² + 5²

b² = 9 + 25

b² = 34

b = 5.83 feet

B) The plywood needs to be 5.83 feet long

C) Since the top of the ramp is 10 feet, let us assume the height of the ramp to be 6 feet, hence, the length of the ramp a is:

10² = a² + 6²

100 = a² + 36

a² = 64

a = 8 feet

8 0
3 years ago
Because a square is a rectangle,it must have.Because a square is a trapezoid,it must have.Because a square is a quadrilateral,it
Mama L [17]

Answer:

Because a square is a rectangle,it must have 4 right angles & 2 sets of parallel lines

Because a square is a trapezoid,it must have parallel lines ( 2 pairs)

Because a square is a quadrilateral, it must have 4 sides

Step-by-step explanation:

Because i have a big brain :)

5 0
3 years ago
One week a librarian kept track of whether returned books were returned on time or not, and whether they had fewer than 200 page
aivan3 [116]

Answer:

0.4833

Step-by-step explanation:

We want GIVEN THAT 200 pages or MORE AND RETURNED ON TIME.

Returned on time

fewer than 200 pages—— 78

200 pages ir more ——116

Returned late

Fewer than 200 pages ——15

Returned late ——31

The first table is returned on time and last row is 200 pages or more, so we take that value "116".

To get probability, we also need the total. We add up all those 4 values:

78 + 116 + 15 + 31 = 240

Thus, probability is = 116/240 = 0.4833

5 0
4 years ago
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