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2 years ago

Whisper the numbers in standard form and unit form 42

Mathematics

1 answer:

prisoha [69]2 years ago

7 0

Answer:

In standard form 42= $4.2\times 10^1$

In unit form, 42 as 4 tens 2 ones

Step-by-step explanation:

Standard form: It is the way of writing down the numbers easily in a very large or small numbers.

Rules for writing a number in standard form is that first you write down a number between 1 and 10, then multiply the number with 10(to the power of a number).

Now, to write

42 in standard form: $4.2\times 10^1$ .

Unit form: it is a form that express the number by giving the number of place value within the number.

Unit form of 42:

42 is written as 4 tens , 2 ones.

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Hunter-Best [27]

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Therefore, the correct answer must be 30 < 24x + 5 < 50.

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2 years ago

The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f

WITCHER [35]

Answer:

Part 1) $A=36(\pi-2)\ cm^2$

Part 2) $P=6(\pi+2\sqrt{2})\ cm$

Step-by-step explanation:

The picture of the question in the attached figure

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

$A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)$

we have that the base and the height of triangle is equal to the radius of the circle

$r=12\ cm\\b=12\ cm\\h=12\ cm$

substitute

$A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2$

simplify

Factor 36

$A=36(\pi-2)\ cm^2$

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

$C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r$

substitute the given values

$C=\frac{1}{2}\pi (12)\\C=6\pi\ cm$

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

$AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm$

simplify

$AC=12\sqrt{2}\ cm$

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$P=(6\pi+12\sqrt{2})\ cm$

simplify

Factor 6

$P=6(\pi+2\sqrt{2})\ cm$

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3 years ago

What is the function graphed below? O y= x + 0.5 O y= 2 x + 0.5 O y=x O y=(0.5)

olga2289 [7]

Answer:

A. y= x + 0.5

Step-by-step explanation:

We see that:

y- intercept is b = 0.5, point (0, 0.5)
Rate of change is m = 1 as each next value of y is greater by 1.

The function is:

y = mx + b
y = x + 0.5

Correct choice is A

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2 years ago

Write the equation of a line that is perpendicular to y=7x−2 and passes through the point (14,8).(1 point) y=7x−90 y=10x−17 y=−1

True [87]

Answer:

$\huge\boxed{y=-\frac{1}{7}x+ 10}$

Step-by-step explanation:

In order to find the equation of this line, we need to note two things.

A) The slope of two lines that are perpendicular will be opposite reciprocals (that is, multiplying them gets us -1.)
B) We can substitute a point inside an incomplete equation to try and find a missing value.

So first, let's find the opposite reciprocal of 7 which will be the slope to this equation.

Reciprocal of 7: $\frac{1}{7}$
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So the slope of this line will be $-\frac{1}{7}$ . The y-intercept will change, and we can substitute what we know into the equation $y=mx+b$ .

$y = -\frac{1}{7}x+b$

Now, we can substitute a point on the graph (14, 8) into this equation to find b.

$8 = -\frac{1}{7} \cdot 14 + b$
$8 = -\frac{14}{7} + b$
$8 = -2 + b$
$b = 10$

Now that we know the y-intercept, we can finish off our equation by plugging that in.

$y = -\frac{1}{7}x + 10$

Hope this helped!

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2 years ago

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scoray [572]

The first answer is correct
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2 years ago

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