All categories

3 years ago

On the photo /picture

Mathematics

1 answer:

asambeis [7]3 years ago

6 0

We need to compute the diagonal of yhe square.

d²=7²+7²=49×2cm²

d=7×sqrt(2)=7×1.41=9.87cm.

The diagonal we just computed is the diameter of the circle that contains the square.

Since d=9.87 < 11, then indeed, the square fits inside the circle, without touching it.

You might be interested in

A farmer has 200m of fencing. What is the area of the largest square paddock that could be fenced

zheka24 [161]

As perimeter of a square is 4*x, it means x=Perimeter/4=200m/4=50m.Now area of the square=x^2=50m^2=2500sq. meter.

6 0

2 years ago

Use the graph below to determine the number of solutions the system has.<br><br> x=4<br> y=-x-1

GrogVix [38]

Answer:

The system x = 4 and y = -x - 1 has one solution

Step-by-step explanation:

x = 4 and y = -x - 1 intersects only once on the graph

5 0

2 years ago

Read 2 more answers

A father wishes to give his son P200, 000 ten years from now. What amount should he invest if it will earn interest at 10% compo

Archy [21]

Answer:

C. P69,256.82

Step-by-step explanation:

We know that,

The amount formula in compound interest is,

$A=P(1+\frac{r_1}{n_1})^{n_1t_1} (1+\frac{r_2}{n_2})^{n_2t_2}.......$

Where, P is the principal amount,

$r_1, r_2....$ are the annual rate for the different periods,

$t_1, t_2,.....$ are the number of year for different periods,

$n_1, n_2, n_3...$ are the number of periods,

Given,

A = P 200,000,

$r_1=10%=0.1$ , $n_1=4$ , $t_1=5$ , $r_2=12%=0.12$ , $n_2=1$ , $t_2=5$

Thus, by the above formula the final amount would be,

$200000=P(1+\frac{0.1}{4})^{4\times 5}(1+\frac{0.12}{1})^{1\times 5}$

$200000=P(1+0.025)^{20}(1+0.12)^5$

$200000=P(1.025)^{20}(1.12)^5$

$\implies P=69,256.824\approx 69,256.82$

Option C is correct.

8 0

2 years ago

Hey!

sashaice [31]

Answer:

angle y is 64⁰

Step-by-step explanation:

There are 2 ways to solve this.

first,

they are alternate angles

second,

you can solve by

180-64=116 (on a straight line)

180-116=64⁰

I'm not really good at explaining but hope this helps :)

5 0

2 years ago

Need help with this one too

FromTheMoon [43]

Answer:

Step-by-step explanation:

Don't doubt me... jwust twust me

50+50+8x+8=180

180-108=8x

x=9

Ur lucky... I explained

Pweeeeeeeeeeeeese mwake me da bwainliestttttttttttt

4 0

2 years ago