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victus00 [196]
3 years ago
12

In Tallahassee, Florida, CR 373 intersects non-parallel streets CR 363 and Monroe Street. Which locations/structures represent c

onsecutive (same side) interior angles? Select all that apply.
Fast Food 2 and the Park

the Lake and the Post Office

the Apartments and Fast Food 1

Fast Food 2 and the Grocery Store

the Apartments and the Post Office

the Big Box Store and the Grocery Store

Mathematics
1 answer:
Genrish500 [490]3 years ago
4 0

Answer:

Option (3)

Step-by-step explanation:

Option (1)

Fast food 2 and the Park → Consecutive exterior angles

Option (2)

The lake and the Post office→ Consecutive exterior angles

Option (3)

The Apartments and Fast food 1 → Consecutive interior angles

Option (4)

Fast food 2 and the Grocery store → Linear pair of angles

Option (5)

The Apartments and the Post office → Linear pair of angles

Option (6)

The Big Box Store and the Grocery Store → Consecutive interior angles

Therefore, Option (3) and Option (6) will be the correct options.

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Determine the sum of the first 9 terms in the geometric series where r= -0.25 and a1= 256.
Damm [24]

\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad  \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ r=-0.25\\ a_1=256\\ n=9 \end{cases}

\bf S_9=256\left(\cfrac{1-(-0.25)^9}{1-(-0.25)}  \right)\implies S_9=256\left( \cfrac{1+0.25^9}{1+0.25} \right) \\\\\\ S_9=256\left(  \cfrac{52429}{65536}\right)\implies S_9=\cfrac{52429}{256}\implies S_9=204.80078125

4 0
2 years ago
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What is the solution to the equation-0.2(x-20)=44-x
Black_prince [1.1K]

Answer:

x = 50

Step-by-step explanation:

8 0
2 years ago
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Someone please tell me how to solve this
rewona [7]
The answer will be 21u^6v^8
6 0
3 years ago
Six different colored dice are rolled. Of interest is the number of dice that show a one. In words, define the random variable X
olga nikolaevna [1]

Answer:

Step-by-step explanation:

Six dice (each of a different color) are rolled. Since the number of times the 6 dice were rolled isn't stated, take it to be 1.

Hence, 6 dice are rolled at once for this experiment.

Of interest is the number of dice that show a "one". In other words, the variable in question (X) is:

The number of dots that show on the upward face of the rolled dice.

The values that X may take on are:

1  2  3  4  5  6

On average, how many dice would you expect to show a one?

One die.

How is this gotten? By finding the probability that a one or one dot appears when the 6 dice are rolled at once. Since there are 6 dice in number, and each die has the same 6 faces containing dots, the probability of getting a one is 1/6. In this case, one out of 6 dice is expected to show one dot.

Find the probability that all six dice show a dot in just one toss.

Logically, this probability is going to be very small! It is almost impossible for all 6 dice to land on the same face in just a single toss. In other words, expect many decimal places in the probability figure.

1/6 divided by 6  = 0.167/6  = 0.028 approximated to three decimal places.

This would also represent the probability that 2 dots, 3 dots, or any other number of dots appears on all dice in one toss!

Is it more likely (in this experiment) that 3 or 4 dice will show a one (a single dot)?

The answer is yes! It is more likely that 3 or 4 dice (instead of all 6) will show a one or will show the same number of dots.

Kudos!

7 0
2 years ago
Megan has $15,000 to invest. She is considering two investment options. Option A pays 3.2% simple interest. Option B pays 4.1% i
True [87]

wheee



Compute each option


option A: simple interest


simple interest is easy

A=I+P

A=Final amount

I=interest

P=principal (amount initially put in)


and I=PRT

P=principal

R=rate in decimal

T=time in years


so given

P=15000

R=3.2% or 0.032 in deecimal form

T=10


A=I+P

A=PRT+P

A=(15000)(0.032)(10)+15000

A=4800+15000

A=19800

Simple interst pays $19,800 in 10 years




Option B: compound interest

for interest compounded yearly, the formula is

A=P(1+r)^t

where A=final amount

P=principal

r=rate in decimal form

t=time in years


given

P=15000

r=4.1% or 0.041

t=10


A=15000(1+0.041)^{10}

A=15000(1.041)^{10}

use your calculator

A=22418.0872024

so after 10 years, she will have $22,418.09 in the compounded interest account





in 10 years, the investment in the simple interest account will be worth $19,800 and the investment in the compounded interest account will be worth$22,418.09

4 0
3 years ago
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