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3 years ago

Find the missing term in the geometric sequence. 180,___,5

Mathematics

1 answer:

Elan Coil [88]3 years ago

7 0

Answer:

30.

Step-by-step explanation:

first term = a

3r term = ar^2

So here ar^2/ a = r^2

r^2 = 5/180 = 1/36

r = 1/6

So missing term = 180 * 1/6 = 30.

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Decipher this please

kotykmax [81]

Answer: I think

Step-by-step explanation: 1=e, 2=a, 3=c, 4=d

8 0

3 years ago

Read 2 more answers

If RX=4 and XS=9, then XT=<br> And how do you get it?

konstantin123 [22]

Answer:

XT=6 units

Step-by-step explanation:

The picture of the question is the attached figure

step 1

In the right triangle RST

Applying the Pythagorean theorem

$RS^2=RT^2+TS^2$

we have

$RS=RX+XS=4+9=13\ units$ ---> by segment addition postulate

substitute

$RT^2+TS^2=169$ ----> equation A

step 2

In the right triangle RTX

Applying the Pythagorean theorem

$RT^2=RX^2+XT^2$

we have

$RX=4\ units$

substitute

$RT^2=4^2+XT^2$

$RT^2=16+XT^2$

$XT^2=RT^2-16$ ----> equation B

step 3

In the right triangle XTS

Applying the Pythagorean theorem

$TS^2=XS^2+XT^2$

we have

$XS=9\ units$

substitute

$TS^2=9^2+XT^2$

$TS^2=81+XT^2$

$XT^2=TS^2-81$ ----> equation C

step 4

equate equation B and equation C

$TS^2-81=RT^2-16$

$TS^2-RT^2=81-16$

$TS^2-RT^2=65$ ----> equation D

step 5

Solve the system

$RT^2+TS^2=169$ ----> equation A

$TS^2-RT^2=65$ ----> equation D

Solve by elimination

Adds equation A and equation D

$RT^2+TS^2=169\\TS^2-RT^2=65\\---------\\TS^2+TS^2=169+65\\2TS^2=234\\TS^2=117$

Find the value of RT^2

$RT^2+117=169\\RT^2=52$

step 6

Find the value of XT

equation C

$XT^2=117-81\\XT^2=36\\XT=6\ units$

7 0

3 years ago

Two of the most expensive cars in the world are car A and car B. The prices of these two cars differ by more than $. The price

ollegr [7]

Answer:

Part a:

Price of car A = $131,745 and price of car B is unknown = x

There are two possible cases: 1) Car A is the more expensive car, and 2) car B is the more expensive one. We start by analyzing both cases separately:

Case 1) If car A is the more expensive car, we could write the difference in prices in mathematical form, using the "larger than" symbol: ">"

$131,745 - x > $15,000 that reads :"the price of car A ($131,745) minus the price of car B (x) is MORE THAN (>) $15,000

Case 2) Car B is more expensive than A, so we can write:

x - $131,745 > $15,000 that reads: "the price of car B (x) minus the price of car A ($131,745) is MORE THAN (>) $15,000

Both inequalities that we wrote above can be condense in a single inequality if we use the "absolute value" mathematical symbol thus expressing that the difference between both prices in absolute value must be larger than $15,000:

| $131,745 - x | > $15,000

Part b) We can solve for x in the first inequality we wrote:

$131,745 - $15,000 > x therefore x < $116,745

and also we can solve for x in the second inequality given us the second possibility:

x - $131,745 > $15,000 therefore x > $146,745

4 0

3 years ago

A student wants to write the scale of a statue of President Kennedy, who was 6ft tall. The statue is 8ft tall. The student write

statuscvo [17]

He is incorrect because if the ratio is that for every 6 ft on the model is 8 feet in real life, he already exceeded his Kennedy's height by 2.

6 0

3 years ago

The length of a rectangle is 7 inches longer than it is wide. If the area is 44 square inches, what are the dimensions of the re

MatroZZZ [7]

Area = *Longer Side* x *Shorter side*

44 = (x + 7) * x
44 = x^2 + 7x
0 = x^2 + 7x - 44
0 = (x + 11)(x - 4)
0 = x + 11 OR 0 = x - 4
x = -11*impossible* OR x = 4
So x = 4

8 0

3 years ago