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3 years ago

12,963 rounded to the nearest hundredth

Mathematics

1 answer:

ladessa [460]3 years ago

7 0

9514 1404 393

Answer:

12,963.00 (in the US)
12,96 (some other places)

Step-by-step explanation:

In the US, a decimal point is represented by a period. This value is interpreted as an integer with no fractional part, so the fractional part is zero:

12,963.00

Some other places, a comma is used to identify the beginning of the decimal fraction. In that form, this number has a fractional part that has 3 as its thousandths digit. The value of 3 is less than 5, so the number is simply truncated at the hundredths place.

12,96

If the thousandths digit were 5 or greater, then 1 hundredth would be added to the truncated number.

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What is the value of M

Serggg [28]

m∠a = 56°, m∠b = 34°, m∠c = 56°

Solution:

Sum of the adjacent angles in a straight line is 180°.

⇒ m∠a + 124° = 180°

⇒ m∠a = 180° – 124°

⇒ m∠a = 56°

∠a and ∠c are vertically opposite angles.

Vertical angle theorem:

If two lines are intersecting, then the vertically opposite angles are congruent.

⇒ ∠a ≅ ∠c

⇒ m∠a = m∠c

⇒ m∠c = 56°

Sum of the adjacent angles in a straight line is 180°.

m∠b + 90° + m∠c = 180°

m∠b + 90° + 56° = 180°

m∠b + 146° = 180°

m∠b = 180° – 146°

m∠b = 34°

Hence m∠a = 56°, m∠b = 34°, m∠c = 56°.

6 0

4 years ago

8. f(x) = -0.75x find the inverse function f-1(x) for the given functions f(x)

olasank [31]

Answer:

$\frac{x}{-0.75}=y$

Step-by-step explanation:

To find the inverse of a function, you switch the x and y values and solve for y. (keep in mind that f(x) is just another way of writing y)

$y=-0.75x\\x=-0.75y\\\frac{x}{-0.75}=y$

so $\frac{x}{-0.75}=y$ is our answer

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3 years ago

Convert these numbers into Scientific Notation

kicyunya [14]

Answer:

1000=1×10^3

98000=9.8×10^4

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3 years ago

What is the value of x 3/5x-1/3x=x-1

Stella [2.4K]

Answer:

x=15/11

x=1.36

Step-by-step explanation:

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3 years ago

In triangle XYZ, if angle X is congruent to angle Z, XY = 13x - 21, YZ = 8x - 6, & XZ = x + 4, find x & the measure of e

Naily [24]

Answer:

Given: In triangle XYZ, $\angle X \cong \angle Z$ , XY=13x-21 , YZ=8x-6 and XZ=x+4.

If two angles are congruent if and only if, they measure the same number of degrees.

therefore, from the given condition; $\angle X = \angle Z$ .

Isosceles Triangle : An triangle with two equal sides. The angles opposite the equal sides are also equal.

Therefore, the triangle XYZ is an isosceles triangle, as the base angle $\angle X$ and $\angle Z$ are equal and the sides opposite to these angles are also equal i.e, XY=YZ.

Since, we have XY=YZ ,

⇒ 13x-21 =8x-6 or

13x-8x=21-6 or

5x=15

Simplify:

x=3

Therefore, the sides of an isosceles triangle are:

XY = 13x-21 = $13\cdot 3 -21$ = 39-21 = 18 unit ,

YZ = 8x-6 = $8 \cdot3 -4$ = 24-6 =18 unit,

and XZ = x+4 = 3+4 =7 unit.

Since, the triangle is isosceles, we draw a line from an vertex angle Y of a triangle XYZ which is perpendicular (i.e, of 90 degree angle) to opposite side meets the opposite side at its midpoint i.e, say W.

As W is the midpoint(i.e, it divide the sides into two equal halves),

XW=WZ = $\frac{7}{2} =3.5$ unit

Now, use the Pythagorean theorem, to find the altitude WY.

⇒ $(WY)^2+(WZ)^2=(YZ)^2$

Substitute the value of WZ = 3.5 unit and YZ = 18 unit in above formula to calculate the length of WY;

⇒ $(WY)^2+(3.5)^2=(18)^2$

Simplify:

$(WY)^2=324-12.25=311.75$ or

$WY=\sqrt{311.75}$

On simplify we get;

WY=17.65 unit(approx.)

The vertex angle Y is split into two equal angles, we can find the vertex angle by finding the one of the base angle by using the fact; $Cosine = \frac{Base}{Hypotenuse}$ .