All categories

3 years ago

Larissa practices for a swimming tournament

Mathematics

1 answer:

scoundrel [369]3 years ago

4 0

Answer:

Larissa takes 59.141 seconds to complete both laps.

Step-by-step explanation:

The complete time is the sum of time taken on each lap. We translate the two statements into mathematical expressions to determine the required output:

(i) She completes her first lap in 31.135 seconds:

$x_{1} = 31.135\,s$

(ii) She completes her second lap 3.129 seconds faster than the first lap:

$x_{2} = x_{1}-3.129\,s$

$x_{2} = 31.135\,s - 3.129\,s$

$x_{2} = 28.006\,s$

Then, the time taken by Larissa to complete both laps is:

$\Delta x = x_{1} + x_{2}$

$\Delta x = 31.135\,s+28.006\,s$

$\Delta x = 59.141\,s$

Larissa takes 59.141 seconds to complete both laps.

You might be interested in

Solve for all values of x by factoring

oksian1 [2.3K]

Answer:

x= 0,5

Step-by-step explanation:

You have to move all the terms to the left side and set them equal to zero. Then set each factor equal to zero.

Hope this helped you!

⭐ If it helped you please give brainliest! ⭐

7 0

2 years ago

Write the canonical equation of the straight line 2x+3y-2z+6=0, x-3y+z+3=0

Romashka-Z-Leto [24]

i hope this helps

let me know if im wrong

6 0

3 years ago

Solve the following equation for h. r+3Q/h=t

Arada [10]

Answer:

$\bold{h=\dfrac{3Q}{t-r}}$

Step-by-step explanation:

$\bold{r+\frac{3Q}h=t}\\-r\qquad\ -r\\\bold{\frac{3Q}h=t-r}\\\cdot h\qquad \cdot h\\ \bold{3Q=(t-r)h}\\^{\div(t-r)\quad\div(t-r)}\\\bold{\dfrac{3Q}{t-r}=h}$

Or, if you mean (r+3Q)/h=t:

$\bold{\frac{r+3Q}h=t}\\{}\ \ \cdot h\quad\ \cdot h\\\bold{r+3Q=ht}\\{}\ \ \div t\qquad \div t\\\bold{\dfrac{r+3Q}{t}=h}\\\\\bold{h=\dfrac{r+3Q}{t}}$

4 0

3 years ago

The size of a TV is measured by its diagonal. You want to buy a TV that has a 32

ANEK [815]

The width of the TV is 27.9 inches

Step-by-step explanation:

Given,

Diagonal of TV = 32 inch

Height of TV = 15.7 inch

The diagonal makes the TV into a right triangle,

Therefore,

Diagonal = hypotenuse = c = 32 inch

Height = perpendicular = a = 15.7 inch

Width = base = b

Using pythagoras theorem

$a^2+b^2=c^2\\(15.7)^2+b^2=(32)^2\\246.49+b^2=1024\\b^2=1024-246.49\\b^2=777.51$

Taking square root on both sides

$\sqrt{b^2}=\sqrt{777.51}\\b=27.88$

Rounding off to nearest tenth

b = 27.9 inches

The width of the TV is 27.9 inches

Keywords: Pythagoras theorem, square root

Learn more about square root at:

#LearnwithBrainly

7 0

3 years ago

Lee wants to collect 22 of a certain type of action figure. He had 11 of the figures, then got 3 more for his birthday. What dec

Shalnov [3]

To solve this problem, we must first find the fraction of action figures that Lee has gotten so far. To do this, we will represent the number of action figures that Lee currently has in the numerator divided by the denominator, the total number of action figures that Lee is attempting to collect.

First, we must recognize that Lee currently has 11 action figures plus the 3 that he got for his birthday. To find the total number of action figures that Lee has, we must add together these two parts.

11+3 = 14

Therefore, Lee has 14 action figures (this will become the numerator of the fraction). The denominator of the fraction is the total number of action figures, which we are given is 22.

Thus, our fraction is 14/22.

To convert this into a decimal, we can simply divide the numerator of the fraction by the denominator of the fraction, which gives us:

14/22 = 0.636363636

Therefore, your answer is approximately 0.636.

Hope this helps!

6 0

3 years ago