What is fractional notation 37 1/8%simpifythe answer?

*If diagonal of a square is of length 10√2 cm then the perimeter of square is ...............cm.*

Artyom0805 [142]

Answer: 1️⃣ 40

Step-by-step explanation:

x - is the side of the square

$x^{2} +x^{2} =(10\sqrt{2})^{2} \\2x^{2}} =200\\2x^{2} \div 2=200 \div 2 \\x^{2} =100\\x=\sqrt{100} \\x=10 \: [cm] - side \: of \: a \: square$

Find the perimeter of the square.

Perimeter of the square = 4 × 10 cm = 40 cm

8 0

3 years ago

A square painting is surrounded by a frame. The outside edges of the frame are x inches in length and there is a 4-inch border b

Nadusha1986 [10]

The total area of the frame is therefore 2(4x) + 2(4)(x-8) = 8x + 8x - 64 = 16x - 64

3 0

3 years ago

Read 2 more answers

Helppppp me pleaseeeee

cricket20 [7]

Volume of a cone formula: V = πr²*h/3

V = volume

r = radius

h = height

Solve with the given values.

V = π(7)²*19/3

V = π(49)*19/3

V = 153.86*19/3

V = 974.94...

Round to the nearest one.

974.94... → 975.0

Therefore, the answer is 975.0yd³

Best of Luck!

6 0

3 years ago

A sector of a circle makes a 127° angle at its centre. If the arc of the sector has length 36 mm, find

Veseljchak [2.6K]

Answer:

Approximately $68.5\; \rm mm$ .

Step-by-step explanation:

Convert the angle of this sector to radians:

$\begin{aligned}\theta &= 127^{\circ} \\ &= 127^{\circ} \times \frac{2\pi}{360^{\circ}} \\ &\approx 2.22\end{aligned}$ .

The formula $s = r\, \theta$ relates the arc length $s$ of a sector of angle $\theta$ (in radians) to the radius $r$ of this sector.

In this question, it is given that the arc length of this sector is $s = 36\; \rm mm$ . It was found that $\theta = 2.22$ radians. Rearrange the equation $s = r\, \theta$ to find the radius $r$ of this sector:

$\begin{aligned} r&= \frac{s}{\theta} \\ &\approx \frac{36\; \rm mm}{2.22} \\ &\approx 16.2\; \rm mm\end{aligned}$ .

The perimeter of this sector would be:

$\begin{aligned}& 2\, r + s \\ =\; & 2 \times 16.2\; {\rm mm} + 36\; {\rm mm} \\ =\; & 68.5\; \rm mm\end{aligned}$ .

8 0

3 years ago

What is the dollar amount of the Gentry's annual food and housing budgets combined?

Pavlova-9 [17]

Answer:

The combined amount is $14871.21.

Step-by-step explanation:

It is given that, the total yearly income of gentry family is $29742.42

The % charge on income for food is 20%.

The % charge on income for housing is 30%.

The amount in dollar from % form is given by,

= $(\frac{percent form}{100})(annual income)$

For annual food,

= $(\frac{20}{100})(29742.42)$

= $5948.484

For housing budgets,

= $(\frac{30}{100})(29742.42)$

= $8922.726

Thus the combined amount is,

= $8922.726 + 5948.484 = 14871.21$

= $14871.21

3 0

3 years ago