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4 years ago

Does 5 hundreds = 50 tens?

Mathematics

2 answers:

Scilla [17]4 years ago

8 0

Yes, It actually does

Nina [5.8K]4 years ago

6 0

Yes 5 hundreds = 50 tens

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The “staircase” below is 4 units tall and contains 10 unit squares. Suppose the staircase were extended until it was 12 units ta

puteri [66]

Refer to the attachment for the visualization of the staircase that is 4 units tall and contains 10 unit squares.

This problem can easily be solved by using the formula for arithmetic series. The formula is given by:

$S_{n}= \frac{n}{2}[2 a_{1}+(n-1)d]$ where S is the sum, n is the number of terms, $a_{1}$ is the first term, and d is the common difference.

In the case of the problem, n is 4, the first term is 1, and the common difference is also 1. If you substitute these conditions to the formula, you'll get 10 square units.

Now for the extended staircase, we will have 12 number of terms since the staircase is now 12 units tall. The common difference and the first term will still be the same as the previous condition. We can solve for the unit squares it contains by substituting these values to the formula for arithmetic series:

$S_{12}= \frac{12}{2}[2(1)+(12-1)(1)]$
$S_{12}= 6[2+11]=6(13)=78$

ANSWER: The extended staircase would contain 78 unit squares.

3 0

4 years ago

Easter island is roughly triangular in shape. The height of the triangle is 7 miles less than the base. The area is 60 mi.². Fin

pshichka [43]

Answer: height =8 miles

Base = 15 miles

Step-by-step explanation:

A triangle has 3 sides. Easter island is roughly triangular in shape. The height of the triangle is 7 miles less than the base.

Let h = height of triangle

Let b = base of triangle.

h = b-7 - - - - - - 1

Area of triangle = 1/2 base × height

1/2× b × h = 60 - - - - -2

Put h = b-7 in equation 2

1/2×b×(b-7) = 60

b^2-7b = 2×60=120

b^2-7b - 120=0

Solving the quadratic equation,

b^2 +8b -15b -120=0

b(b+8)-15(b+8)=0

b -15 = 0 or b+8 = 0

b =15 or b = -8

b = 15 because the value cannot be negative.

h = b-7 = 15 -7 =8

6 0

4 years ago

Roger completed a probability experiment with a coin. He flipped the coin 32 times, and it landed on tails eight times. He looke

pav-90 [236]

1 to 3

Since you know that he landed on tails 8 out of 32 times, he must have flipped heads for the flips he did not flip tails. So, subtract 32 minus 8, which equals 24, and your answer is 8 to 24. Simplify this like you would with a fraction; the greatest common factor is 8 so divide the "numerator" and the "denominator" by 8. Therefore your final answer is 1 to 3.

8 0

3 years ago

Read 2 more answers

Quadratic graphs, question attached<br> Please give easy to understand explanations

Lubov Fominskaja [6]

Answer:

1) x = 0, x = 1

2) x = -0.387 , x = 1.721

Step-by-step explanation:

3x² - 3x + 2 = 2

To convert this into the given graph, subtract 3 from both sides, you get

3x² - 3x - 1 = -1

You can find the x values for y = -1 to solve the given equation.

At y = -1, x = 0, 1

3x² - 3x - 1 = x + 1

To solve for this, add a straight line y = x + 1 on the same graph and look for the point of intersections

You'll see the line and the graph meet at two points:

x = -0.387 and x = 1.721

8 0

3 years ago

Which of the following rational functions is graphed below

Mrac [35]

C.
the dotted line is the vertical asymptote, the value that x can never be. x can not be 4 this case, because x+4, the denominator, cannot be 0.

6 0

3 years ago

Read 2 more answers