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2 years ago

6

the distance d, in miles, that sounds travels in t seconds can be modeled by the equation d= 0.25t. According to this model, how

many seconds will it take to hear thunder from a storm that is 5 miles away?

1 answer:

strojnjashka [21]2 years ago

3 0

Answer:

1.5 seconds

Step-by-step explanation:

0.25 x 5 = 1.25

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Pls find m<1 TYSM! **the answer is not 40**

vovangra [49]

Step-by-step explanation:

Does that make sense to u??

7 0

3 years ago

6. A sector of a circle is a region bound by an arc and the two radii that share the arc's endpoints. Suppose you have a dartboa

Aliun [14]

Given the dartboard of diameter $20in$ , divided into 20 congruent sectors,

The central angle is $18^\circ$

The fraction of a circle taken up by one sector is $\frac{1}{20}$

The area of one sector is $15.7in^2$ to the nearest tenth

The area of a circle is given by the formula

$A=\pi r^2$

A sector of a circle is a fraction of a circle. The fraction is given by $\frac{\theta}{360^\circ}$ . Where $\theta$ is the angle subtended by the sector at the center of the circle.

The formula for computing the area of a sector, given the angle at the center is

$A_s=\dfrac{\theta}{360^\circ}\times \pi r^2$

<h3>Given information</h3>

We given a circle (the dartboard) with diameter of $20in$ , divided into 20 equal(or, congruent) sectors

<h3>Part I: Finding the central angle</h3>

To find the central angle, divide $360^\circ$ by the number of sectors. Let $\alpha$ denote the central angle, then

$\alpha=\dfrac{360^\circ}{20}\\\\\alpha=18^\circ$

<h3>Part II: Find the fraction of the circle that one sector takes</h3>

The fraction of the circle that one sector takes up is found by dividing the angle a sector takes up by $360^\circ$ . The angle has already been computed in Part I (the central angle, $\alpha$ ). The fraction is

$f=\dfrac{\alpha}{360^\circ}\\\\f=\dfrac{18^\circ}{360^\circ}=\dfrac{1}{20}$

<h3>Part III: Find the area of one sector to the nearest tenth</h3>

The area of one sector can be gotten by multiplying the fraction gotten from Part II, with the area formula. That is

$A_s=f\times \pi r^2\\=\dfrac{1}{20}\times3.14\times\left(\dfrac{20}{2}\right)^2\\\\=\dfrac{1}{20}\times3.14\times10^2=15.7in^2$

Learn more about sectors of a circle brainly.com/question/3432053

8 0

3 years ago

Giovanna can ride her bike 1.5 mi every 5 min. How many miles can she ride herbike in 24 min?

mote1985 [20]

7.2

if she can ride 1.5 mi in 5 min then she can ride 0.3 mi each minute, multiply 0.3 times 24 minutes and it gets 7.2 miles

4 0

3 years ago

A vegetable seller brought 294 pumpkin to sell he sold 2/3 of the pumpkins by evening how many pumpkin were sold

Tema [17]

The number of pumpkins sold will be the total number multiplied by the fraction sold...

294 x 2/3 =
588 / 3 =

196 pumpkins were sold

6 0

4 years ago

In ∆ABC the angle bisectors drawn from vertexes A and B intersect at point D. Find ∠ADB if:

icang [17]

Answer:

155°

Step-by-step explanation:

In Δ ABC, let A = x°

By Angle-sum property,

A + B + C = 180°

But, it is given that C = 130°

So, x + B + 130 = 180

B = 180 - 130 - x

B = 50 - x

Since AD and BD are internal bisectors of A and B,

∠ DAB = x/2 and

∠ DBA =

In Δ ADB, by angle-sum property,

∠ DBA + ∠ DAB +∠ ADB = 180°

+ ∠ ADB = 180°

25 + ∠ ADB = 180°

∠ ADB = 180 - 25 = 155°

Hence, ∠ ADB = 155°

3 0

3 years ago