Expand the following expression by using the distributive method. 6(3b

The area of a small pond is 78.5 yds. What is the diameter of the pond?

Zolol [24]

Answer:

Diameter of pound = 10 yd

Step-by-step explanation:

Given area of circular pond = 78.5 square yd

To find the diameter of the pond.

Solution:

The pond being circular in shape, the area of pond can be given as:

⇒ $\pi\ r^2$

where $r$ represents radius of the pond.

Thus, we have:

⇒ $\pi\ r^2=78.5$

Using $\pi=3.14$

⇒ $3.14r^2=78.5$

Solving for $r$

Dividing both sides by 3.14

⇒ $\frac{3.14r^2}{3.14}=\frac{78.5}{3.14}$

⇒ $r^2=25$

Taking square root both sides.

⇒ $\sqrt{r^2}=\sqrt{25}$

⇒ $r=\pm5$

So, radius = 5 yd, as distances are always positive.

Diameter = $2\times radius=2\times 5\ yd= 10\ yd$

Thus, diameter of pound = 10 yd

7 0

2 years ago

The batting Wang Xiu Ying uses to fill quilts has a thermal conductivity rate of 0.030.030, point, 03 watts (\text{W})(W)left pa

Semenov [28]

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

the batting wang xiu ying uses to fill quilts has a thermal conductivity rate of 0.03 watts (W) per meter(m) per degree celsius. what is the batting thermal conductivity when w/cm•c

Given

K = 0.03W/m°C

Required

Convert K to W/cm°C

Since 1m = 100cm,

K = 0.03w/1×100cm°C

K = 3×10^-2w/10² cm°C

K = 3 × 10^-2w/10² cm°C

K = 3w× 10^{-2-2}cm°C

K = 3w×10^-4cm°C

K = 0.0003w/cm°C

8 0

1 year ago

It is known that driving can be difficult in regions where winter conditions involve snow-covered roads. For cars equipped with

noname [10]

Answer:

The null and alternative hypothesis for this test are

$H_0: \mu\ge 215\\\\H_1: \mu< 215$

Step-by-step explanation:

If we perform a hypothesis test, we can reject or not reject the null hypothesis.

To conclude that the tires have a decreased stopping distance (μ<215), we should state the null hypothesis $H_0: \mu\ge 215$ and then go on with the analysis to reject it (or not).

If the null hypothesis is rejected, the claim of the manufacturer is rigth.

The alternative hypothesis would be $H_1: \mu$ , that would turn rigth if the null hypothesis is rejected.

5 0

2 years ago

Mike is 5 years old and Randy is 8 years old. Select all proportional relationships that have the same ratio to that of Mike and

Yanka [14]

Answer:

The ratio is multiplying 1.6 so just pick all the proportional relationships where you have to multiply by 1.6.

Step-by-step explanation:

Proportional relationships man you have to multiply, but since I didn't know what you multiplied 5 to get to 8 I divided.

8÷5=1.6

And if you want to check your answer then multiply.

5×1.6=8

<u><em>Could I please have BRAINLIEST?</em></u>

5 0

2 years ago

Triangle N T M is shown. Angle N T M is a right angle. An altitude is drawn from point T to point U on side N M to form a right

stich3 [128]

Answer:

The value of y is 6 $\sqrt{3}$ units ⇒ 2nd answer

Step-by-step explanation:

In the attached figure

∵ ∠MTN is a right angle

∵ TU is the altitude of the triangle

- There are some rules in this triangle let us revise them

(NT)² = NU . NM
(MT)² = MU . MN
(TU)² = MU . NU
TM . TN = TU . MN

∵ NU = 9 units

∵ UM = 3 units

∵ MN = UM + NU

∴ MN = 3 + 9 = 12 units

- By using the 1st rule above

∴ (NT)² = 9 × 12

∴ (NT)² = 108

- Take a square root to both sides

∴ NT = $\sqrt{108}$

- Simplify the root

∴ NT = 6 $\sqrt{3}$ units

∵ NT is y

∴ y = 6 $\sqrt{3}$ units

The value of y is 6 $\sqrt{3}$ units

8 0

2 years ago

Read 2 more answers

Expand the following expression by using the distributive method. 6(3b - 4c)