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2 years ago

Select the correct answer

Mathematics

2 answers:

inna [77]2 years ago

6 0

Answer:

hey mate.

Step-by-step explanation:

Select the correct answer

What is the 10th term of the geometric sequence 3,6, 12, 24,48 ...?

A. 512

B. 3,072

C. 768

D. 1,536

is ... 768

FromTheMoon [43]2 years ago

5 0

Answer:

Step-by-step explanation:

The n th term of a geometric sequence is

$a_{n}$ = a₁ $(r)^{n-1}$

where a₁ is the first term and r is the common ratio

r = 6 ÷ 3 = 12 ÷ 6 = 24 ÷ 12 = 48 ÷ 24 = 2

Using a₁ = 3 and r = 2, then

$a_{10}$ = 3 × $2^{9}$ = 3 × 512 = 1536 → D

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2 years ago

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pshichka [43]

Answer:

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2 years ago

Aunty Joan packs a packet of sweets to Alice and Olivia. Alice and Olivia share sweets in the ratio 7:3. Alice gives 3 sweets to

aivan3 [116]

Initially, Alice had 28 sweets and Olivia 12 sweets.

Step-by-step explanation:

First assume that Aunty Joan has x number sweets.

Alice and Olivia shared the x sweets in a ration of 7:3, this means

Alice had 7/10 x sweets and Olivia had 3/10 sweets.

Alice gives 3 sweets to Olivia, Alice will remain with ;

$\frac{7}{10} x-3$

Then the new ratio changes to 5:3 which means Alice will have 5/8 x number of sweets.

Equate the number of sweets for Alice in the two cases, which is

$\frac{5}{8}x=\frac{7}{10} x-3\\ \\\frac{7}{10} x-\frac{5}{8} x=3\\$

$\frac{56x-50x}{80} =3\\\\\\\frac{6}{80} x=3\\\\\\6x=80*3\\\\\\x=240/6\\\\x=40$

So there were 40 sweets at first

Using the ratio of 7:3 then

Alice had 7/10 *40 = 28 sweets

Olivia had 3/10*40= 12 sweets

Alice gave Olivia 3 sweets, so she will remain with 28-3 =25 sweets. Olivia will now have 15 sweets.The new ratio will be 25:15 simplified as 5:3.

Learn More

Ratio : brainly.com/question/11095585

Keywords : Ratio

#LearnwithBrainly

5 0

3 years ago

Eric Drew an obtuse triangle. Which of the following could be true for Eric's triangle.

Vika [28.1K]

Answer:

<u>Option:B</u> is the correct answer.

B: possible angle measures of the triangle are 92, 48, and 40 .

Step-by-step explanation:

We know that an obtuse triangle is a triangle whose one angle is a obtuse angle ( i.e. the measure of the angle is greater than 90 degree and less than 180 degrees).

A: all three angles have equal measures

Let the angle of a triangle be 'x'.

As we know that the sum of all the angles of a triangle is 180°.

This implies that:

x+x+x=180°

3x=180°

⇒ x=60°

Hence, the triangle will not be obtuse as none of the angle is obtuse.

Hence, option: A is incorrect.

possible angle measures of the triangle are 92, 48, and 40.

This option is correct.

Since there is one angle which is obtuse ( measure 92 degree)

and also such a angle measure is possible in a triangle as sum of all the angles is 180°.

( since 92+48+40=180°)

two of the angles are equal, and the third angle has a measure of 70.

Let the equal angles be represented by 'x'.

As the sum of all the angles is 180°.

⇒ x+x+70=180°

⇒ 2x=110°

⇒ x=55°

Hence, here also none of the angle is obtuse.

hence, option: C is incorrect.

One angle has a measure of 90, while, the other two angles measure less than 90°.

Such a triangle will not be a obtuse triangle as none of the angle measure is greater than 90°.

Hence, option: D is incorrect.

4 0

3 years ago