Find the e measure of the missing angle. round to 2 decimal places

The first three towers in a sequence are shown. The nth tower is formed by stacking n blocks on top of an n times n square of bl

erik [133]

Answer:

The 99th tower contains 9900 blocks.

Step-by-step explanation:

From the question given, we were told that the nth tower is formed by stacking n blocks on top of an n times n square of blocks. This implies that the number of blocks in n tower will be:

n + n²

Now let us use the diagram to validate the idea.

Tower 1:

n = 1

Number of blocks = 1 + 1² = 2

Tower 2:

Number of blocks = 2 + 2² = 6

Tower 3:

Number of blocks = 3 + 3² = 12

Using same idea, we can obtain the number of blocks in the 99th tower as follow:

Tower 99:

n = 99

Number of blocks = 99 + 99² = 9900

Therefore, the 99th tower contains 9900 blocks.

7 0

2 years ago

Mike scored a 125 at a semi-final dividing competition season. He scored 95 at this final season. What is the percentage decreas

IrinaK [193]

Answer:

There was a 24% decrease

Step-by-step explanation:

Percentage decrease = (final season's score - semi-final score) / semi final score x 100

$\frac{95-125}{125}$ ×100

$\frac{-30}{125}$ × 100 = -24%

3 0

2 years ago

Jill had a certain amount of money. she spent 15$ downloading new songs. she has 2/5 of the original amount left. how much money

Lostsunrise [7]

Let's call the original amount of money x.

We know that she has 2/5 of the original amount left, and that this is equal to $15.

Therefore, 2/5(x) = 15, and x = $37.50.

5 0

2 years ago

Martin throws a ball straight up in the air. the equation h(t) = -16t^2 + 40t + 5 gives the height of the ball, in feet, t secon

Lisa [10]

Answer:

2.62 seconds

Step-by-step explanation:

Let

t ----> the time in seconds

h(t) ----> he height of the ball, in feet

we have

$h(t)=-16t^2+40t+5$

we know that

When the ball hits the ground, the height is equal to zero

so

$-16t^2+40t+5=0$

The formula to solve a quadratic equation of the form

$at^{2} +bt+c=0$

is equal to

$t=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^2+40t+5=0$

so

$a=-16\\b=40\\c=5$

substitute in the formula

$t=\frac{-40\pm\sqrt{40^{2}-4(-16)(5)}} {2(-16)}$

$t=\frac{-40\pm\sqrt{1,920}} {-32}$

$t=\frac{-40+\sqrt{1,920}} {-32}=-0.12\ sec$

$t=\frac{-40-\sqrt{1,920}} {-32}=2.62\ sec$

therefore

The solution is t=2.62 seconds

4 0

2 years ago

jen uses 8.2 of blue paint and white paint to paint her bedroom walls. 4/5ths of this amount is blue paint, and the rest is whit

lara31 [8.8K]

Answer:

The amount of white paint Jen used to paint the walls in her room is:

1.64 pints.

Step-by-step explanation:

To solve the exercise you only have to pay attention to the statement, in the section that says that 4/5 parts of the total painting is blue, therefore, if 1 is the total painting, you must do a subtraction:

1 - 4/5 = 1/5

Since the remaining white paint is 1/5 of the total, you have two ways to solve the exercise: multiply the total paint (8.2 pints) by 1/5 or divide the number by 5, as shown below:

Amount of white paint = 8.2 pints * (1/5) = 1.64 pints.
Amount of white paint = 8.2 pints / 5 = 1.64 pints.

As you can see, the two methods provide a value of 1.64 pints, which corresponds to 1/5 of the total paint and is the amount of white paint used.

5 0

2 years ago