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3 years ago

What is 1/2 times 5/2

Mathematics

2 answers:

Elena L [17]3 years ago

7 0

Answer:

1/2 x 1/5 is .1

Step-by-step explanation:

Artemon [7]3 years ago

6 0

Answer:

= 5/4

Step-by-step explanation:

Multiply across, so we will multiply our numerators first.

1 x 5 = 5

Then we multiply our denominators

2 x 2 = 4

Thats why your answer is 5/4

Hope this helps (:

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Find the sum of a finite geometric sequence from n = 1 to n = 7, using the expression −4(6)n − 1.

Verizon [17]

Answer:

Step-by-step explanation:

The formula of a sum of terms of a gometric sequence:

$S_n=a_1\cdot\dfrac{1-r^n}{1-r}$

a₁ - first term

r - common ratio

We have

$a_n=-4(6)^{n-1}$

Calculate a₁. Put n = 1:

$a_1=-4(6)^{1-1}=-4(6)^0=-4(1)=-4$

Calculate the common ratio:

$r=\dfrac{a_{n+1}}{a_n}\\\\a_{n+1}=-4(6)^{n+1-1}=-4(6)^n\\\\r=\dfrac{-4(6)^n}{-4(6)^{n-1}}=6^n:6^{n-1}\\\\\text{use}\ a^n:a^m=a^{n-m}\\\\r=6^{n-(n-1)}=6^{n-n+1}=6^1=6$

$\text{Substitute}\ a_1=-4,\ n=7,\ r=6:\\\\S_7=-4\cdot\dfrac{1-6^7}{1-6}=-4\cdot\dfrac{1-279936}{-5}=-4\cdot\dfrac{-279935}{-5}=(-4)(55987)\\\\S_7=-223948$

7 0

3 years ago

13% of $99.99 =<br> $26.00<br> O $25.98<br> O $13.00<br> O $12.99

vova2212 [387]

Answer:

12.99 or 13 rounded

Step-by-step explanation:

99.99/(.13)=12.9987

8 0

2 years ago

Find the area ratio of a regular octahedron and a tetrahedron regular, knowing that the diagonal of the octahedron is equal to h

Anton [14]

Answer:

$\frac{4}{3}$

Step-by-step explanation:

The area of a regular octahedron is given by:

area = $2\sqrt{3}\ *edge^2$ . Let a is the length of the edge (diagonal).

area = $2\sqrt{3}\ *a^2$

Given that the diagonal of the octahedron is equal to height (h) of the tetrahedron i.e.

a = h, where h is the height of the tetrahedron and a is the diagonal of the octahedron. Let the edge of the tetrrahedron be e. To find the edge of the tetrahedron, we use:

$h=\sqrt{\frac{2}{3} } e\\but\ h=a\\a=\sqrt{\frac{2}{3} } e\\e=\sqrt{\frac{3}{2} }a$

The area of a tetrahedron is given by:

area = $\sqrt{3}\ *edge^2$ = $\sqrt{3} *(\sqrt{\frac{3}{2} }a)^2=\frac{3}{2}\sqrt{3} *a^2$

The ratio of area of regular octahedron to area tetrahedron regular is given as:

Ratio = $\frac{2\sqrt{3}\ *a^2}{\frac{3}{2} \sqrt{3}*a^2} =\frac{4}{3}$

7 0

3 years ago

How to find the unit rate of 346 mi on 22 gal

nydimaria [60]

Divide 346 mi by 22 gal.
The quotient will be "miles per gallon", which is exactly what you want.

3 0

3 years ago

Read 2 more answers

8. A dog chasing some birds in the woods got away from its owner. If the owner is 30 yards

puteri [66]

Answer:

172.76 yards.

Step-by-step explanation:

The dog chasing some birds got away from its owner by x yards (say).

It is clear from the problem that this x yards is the slant distance from the dog to the owner.

The vertical distance from the dog to the owner is given to be 30 yards, and the angle of elevation from the owner to the dog is 10°.

Therefore, we can write that $\sin 10 =\frac{30}{x}$

⇒ $x = \frac{30}{\sin10} = 172.76$ yards. (Answer)

8 0

3 years ago