If s= 2x+t/r, then t equals

USE FOR MASTERY Number of attempts allowed: 1 Write two rational numbers a/b and c/d, where a, b, c, and d are the digits 2, 3,

iogann1982 [59]

Answer:

We want to craft:

a/b and c/d

where a, b, c and d can be 2, 3, 4 and 5.

Such that the distance in the number line between these two numbers is maximized.

Then we want one number to be really small, and the other to be really large.

Remember two things:

for numbers like a/b.

if a is smaller than b, then a/b is smaller than 1.

Now, if a is larger than b, then a/b is larger than 1.

And two things,

1/10 = 0.1

10/1 = 10

So when the numerator is larger, the distance displaced in the number line is larger.

Then we want to have:

a number where the numerator is the largest option and the denominator is the smallest option:

a/b = 5/2

And the two remaining options in such way that the numerator is smaller than the denominator:

c/d = 3/4.

The distance between these two numbers is:

D = 5/2 - 3/4 = 10/4 - 3/4 = 7/4.

5 0

4 years ago

I need help with this

cestrela7 [59]

<h2><u> $\bold\color{plum}\tt \: Answer \: \: 1 :$ </u></h2>

Diameter = 4 cm

Radius = Diameter/2 = 2 cm

Area of circle :

$= \pi{r}^{2}$

$= 3.14 \times 2 \times 2$

$= 3.14 \times 4$

$= 12.56 \: {cm}^{2}$

Circumference of circle :

$= 2\pi r$

$= 2 \times 3.14 \times 2$

$= 12.56 \: \: {cm}^{2}$

<h2>Therefore, </h2><h3>Diameter = 4 cm</h3><h3>Radius = 2 cm</h3><h3>Area = 12.56 cm²</h3><h3>Circumference = 12.56 cm</h3>

<h2><u> $\bold{\color{plum}\tt \: Answer \: \: 2 :}$ </u></h2>

Circumference = 15 feet (given)

Radius :

$= 2\pi r$

$= 2 \times \frac{22}{7} \times r = 15$

$= \frac{44}{7} \times r = 15$

$= 44r = 15 \times 7$

$= 44r = 105$

$= r = \frac{105}{44}$

$= r = 2.38 \: feet$

Diameter = r×2 = 2.38 × 2 = 4.76 feet

Area :

$= \pi {r}^{2}$

$= 3.14 \times 2.38 \times 2.38$

$= 17.78 \: {ft}^{2}$

<h2>Therefore, </h2><h3>Diameter = 4.76 feet</h3><h3>Radius = 2.38 feet</h3><h3>Area = 17.78 ft²</h3><h3>Circumference = 15 feet</h3>

<h2><u> $\color{plum}\tt \: Answer \: \: 3 :$ </u></h2>

Diameter = 2 cm (given)

Radius = D/2 = 2/2 = 1 cm

Circumference :

$= 2 \pi r$

$= 2 \times 3.14 \times 1$

$= 6.28 \: feet$

Area :

$= \pi {r}^{2}$

$= 3.14 \times 1 \times 1$

$= 3.14 \: {ft}^{2}$

<h2>Therefore, </h2><h3>Diameter = 2 cm</h3><h3>Radius = 1 cm </h3><h3>Area = 3.14 ft²</h3><h3>Circumference = 6.28 feet</h3><h2 /><h2><u> $\color{plum}\tt \: Answer \: \: 4 :$ </u></h2>

Radius = 4.3 mm

Diameter = r×2 = 4.3 × 2 = 8.6 mm

Circumference :

$= 2\pi r$

$= 2 \times 3.14 \times 4.3$

$= 27 \: mm$

Area :

$= \pi {r}^{2}$

$= 3.14 \times 4.3 \times 4.3$

$= 3.14 \times 18.49$

$= 58.05 \: {mm}^{2}$

<h2>Therefore, </h2><h3>Diameter = 8.6 mm</h3><h3>Radius = 4.3 mm</h3><h3>Area = 58.95 mm²</h3><h3>Circumference = 27 mm</h3>

7 0

3 years ago

I need help urgently please what is x?

Alex73 [517]

6 the answerr is 6 hope that this helped

7 0

3 years ago

The diagram shows the artificial lake when Amanda jogged twice around the lake she jogged a distance of 2,700 meters find the va

STALIN [3.7K]

2700 divided by 2 is 1350

6 0

3 years ago

If triangle ABC is defined by the coordinated A(3,6), B(7,6), C(7,3) is dilated by a scale factor of 3, with resulting vertex A'

Anastaziya [24]

Answer:

Center of dilation → (0, 0)

Step-by-step explanation:

Vertices of a triangle ABC are A(3, 6), B(7, 6) and C(7, 3).

If this triangle is dilated by a scale factor of 'k' about the origin,

Rule for the dilation is,

(x, y) → (kx, ky)

If vertex A is dilated by a scale factor of 3 about the origin,

A(3, 6) → A'(3×3, 3×6)

→ A'(9, 18)

Therefore, center of dilation is origin (0, 0).

5 0

3 years ago