All categories

3 years ago

1,5,25,61.....What's following number?

Mathematics

1 answer:

Lana71 [14]3 years ago

3 0

Given:

1,5,25,61.....

To find:

The following number.

Solution:

We can see a pattern in the given sequence.

$(-1)^2+(0)^2=1+0=1$

$(1)^2+(2)^2=1+4=5$

$(3)^2+(4)^2=9+16=25$

$(5)^2+(6)^2=25+36=61$

Using this pattern the next term is the sum of squares of 7 and 8.

$(7)^2+(8)^2=49+64=113$

Therefore, the next number is 113.

You might be interested in

Please help, I'm at my wits end :(.

Drupady [299]

Answer:

im sorry theres not enough information for me to complete your request

Step-by-step explanation:

4 0

3 years ago

If in a triangle ac= 15 and angle abc=60 degrees what is ab?

marin [14]

Answer:

∠A=30° and AC and BC is 13 and 7.5 units respectively

Step-by-step explanation:

Given that in a right triangle ABC , right angled at C , if angle B =60 degree and AB =15 units

we have to find the remaining angles.

By angle sum property, sum of angles in right angle is 180°

∠A+∠B+∠C=180°

∠A+ 60°+90°=180

∠A=180°-150°=30°

∠A=30°

As AB= 15

Now by trigonometric ratios we find the other sides of triangle ABC

Hence, ∠A=30° and AC and BC is 13 and 7.5 unitsStep-by-step explanation:

∠A=30° and AC and BC is 13 and 7.5 units respectively

Step-by-step explanation:

Given that in a right triangle ABC , right angled at C , if angle B =60 degree and AB =15 units

we have to find the remaining angles.

By angle sum property, sum of angles in right angle is 180°

∠A+∠B+∠C=180°

∠A+ 60°+90°=180

∠A=180°-150°=30°

∠A=30°

As AB= 15

Now by trigonometric ratios we find the other sides of triangle ABC

Hence, ∠A=30° and AC and BC is 13 and 7.5 units

3 0

3 years ago

Practice

andrew11 [14]

Computing the ratio of raisins to ounces, it is found that due to the higher computed ratio, brand B advertises the greatest ratio of raisins per ounce.

---------------------------

For brand A, there are 60 raisins in the 24-ounces box, thus the ratio is of $\frac{60}{24} = 2.5$ , that is, 2.5 raisins per ounce.
For brand B, there are 18 raisins in the 6-ounce box, 36 in the 12-ounce, and it follows this ratio, thus $\frac{36}{12} = \frac{18}{6} = 3$ , thus, 3 raisins per ounce.
For brand C, there are 20 raisins in the 10-ounce box, 30 in the 15-ounce, and so on, thus $\frac{20}{10} = \frac{30}{15} = 2$ , thus, 2 raisins per ounce.
Due to the higher computed ratio, brand B advertises the greatest ratio of raisins per ounce.