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3 years ago

Finding the missing length

Mathematics

1 answer:

pav-90 [236]3 years ago

6 0

$\huge\colorbox{black}{ \color{white}{ANSWER}}$

we know,

$\mathfrak{\hookrightarrow { area = \dfrac{1}{2} \times (a + b) \times h }}$

where,

a = 2 cm
b = 5 cm
area = 28 cm²

So,

$\hookrightarrow \mathcal{28 = \dfrac{1}{2} \times (5 + 2) \times h}$

$\hookrightarrow \mathcal{28 \times 2 = 7 \times h}$

$\hookrightarrow \mathcal{ \dfrac{56}{7} = h}$

$\hookrightarrow \mathcal{h = 8}$

so, missing lenght = 8 cm

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Makovka662 [10]

Answer:

The inequality is;

34°F < t < 71°F

Step-by-step explanation:

Here, using t as the variable, we want to write an inequality

We want to write an inequality above 34 but below 71

The inequality will be;

34°F < t < 71°F

8 0

3 years ago

Which situation best represents a proportional relationship?

adelina 88 [10]

Answer:

Option (3)

Step-by-step explanation:

Two variables 'x' and 'y' show the proportional relationship if,

y ∝ x

y = kx

Here, k = Proportionality constant

Option (1)

If Sandra sold 2 bracelets for $3 and 3 bracelets for $6.

For y = 3 and x = 2,

3 = 2k

k = 1.5

For y = 6 and x = 3

6 = 3k

k = 2

Here, proportionality constant is different in both the cases.

Therefore, Option A doesn't show the proportional relationship.

Option (2)

Jeff ran 4 miles in 20 minutes and 6 miles in 24 minutes.

For y = 20 and x = 4,

20 = 4k

k = 5

For y = 24 and x = 6,

24 = 6k

k = 4

Here, proportionality constant is different in both the cases.

Therefore, there is no proportional relationship.

Option (3)

Lamont packed 27 glasses in 9 cases and 81 glasses in 27 cases.

For y = 27 and x = 9

27 = 9k

k = 3

For y = 81 and x = 27,

81 = 27k

k = 3

Here, proportionality constant is k = 3 for both the cases.

Therefore. Option (3) is the answer.

Option (4)

Fernanda placed 8 pencils in 2 boxes and 16 pencils in 8 boxes.

For y = 8 and x= 2.

8 = 2k

k = 4

For y = 16 and x = 8,

16 = 8k

k = 2

Here, proportionality constant is different in both the cases.

Therefore, Option (4) is not the answer.

6 0

3 years ago

Each side of a cube is 39 meters long. What is the surface area of the cube?

fredd [130]

Answer:

Cube surface area:

A= 9126 m^2

5 0

3 years ago

Find the equation of the line perpendicular to y=2x-6 that passes through the point (1,5). If possible, write the equation in sl

mr Goodwill [35]

Answer:

$y=-0.5x+4.5$

Step-by-step explanation:

The slope of $y=2x-6$ is:

The negative reciprocal of that slope is:

$m=-\frac{1}{2}$

So the perpendicular line will have a slope of $-1/2$ :

$y - y_1 = (-\frac{1}{2} )(x - x_1)$

And now put in the point $(1,5)$ :

$y-5=(-\frac{1}{2})(x-1)$

And that answer is OK, but let's also put it in $y=mx+b$ form:

$y-5=-\frac{x}{2}+\frac{1}{2}$
$y=-\frac{x}{2}+\frac{11}{2}$

$y=-0.5x+4.5$

8 0

4 years ago

express 121,200 in exponential (powers of 10) notation. express the earth sun distance in kilometers in powers of 10 notation.

Mashutka [201]

The exponential form of given number 121200 is 1.212 × $10^5$

And the earth sun distance in kilometers in powers of 10 notation is 1.5 × $10^8$

For given question,

We need to express 121,200 in exponential (powers of 10) notation.

To use scientific notation, pick a value between 1 and 10, then multiply it by 10ˣ.

The number between 1 and 10 in 121200 is 1.212 with 5 decimal points.

So, the exponential notation of given number would be,

121,200 = 1.212 × $10^5$

Earth's average distance from the Sun is around 93 million miles (150 million kilometers). That's one AU.

So the number between 1 and 10 in 150,000,000 is 1.5, with 8 decimal points.

So, the distance between he Earth and the Sun is:

150,000,000 = 1.5 × 10⁸

Therefore, the exponential form of given number 121200 is 1.212 × $10^5$

And the earth sun distance in kilometers in powers of 10 notation is 1.5 × $10^8$

Learn more about the powers of 10 here:

brainly.com/question/13303295

#SPJ4

4 0

1 year ago