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Vlada [557]
3 years ago
13

Can someone please help!

Mathematics
1 answer:
vekshin13 years ago
7 0

Answer:

<h2>43.3cm²</h2>

Step-by-step explanation:

Area of a Triangle = Base * Height * 1/2

Base = 5

Height = 4.33

Area of a Triangle = 5 * 4.33 * 1/2

Area of a Triangle = 10.825

There are four triangles.

Surface Area = Area of a Triangle * Number of Triangles

Surface Area = 10.825 * 4

Surface Area = 43.3cm²

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When the expression 2x^2+5x-3 is written in the equivalent form (2x-1)(x+3), list the factors
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hence the factors for this question are 1/2 ,- 3

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3 years ago
Questions about rational and irrational numbers
FinnZ [79.3K]
Rational numbers are those numbers that are integers and can be expressed in the form of x/y where both numerator and denominator are integers whereas irrational numbers are those numbers which cannot be expressed in a fraction. ... The denominator of a rational number is a natural number(a non-zero number).

Rational numbers and irrational numbers are mutually exclusive: they have no numbers in common. Furthermore, they span the entire set of real numbers; that is, if you add the set of rational numbers to the set of irrational numbers, you get the entire set of real numbers.

Answer: If a number can be written or can be converted to p/q form, where p and q are integers and q is a non-zero number, then it is said to be rational and if it cannot be written in this form, then it is irrational.
4 0
3 years ago
XZ¯¯¯¯¯¯¯¯ is the bisector of ∠WXY. If m∠WXY=9x+12 and m∠YXZ=6x−6, what is m∠WXZ?
gregori [183]

9514 1404 393

Answer:

  42°

Step-by-step explanation:

The angle bisector means ∠WXZ = ∠YXZ.

∠WXY = 2×∠YXZ

9x +12 = 2(6x -6)

9x +12 = 12x -12 . . . . eliminate parentheses

24 = 3x . . . . . . . . . . add 12-9x

48 = 6x . . . . . . . . . multiply by 2

∠WXZ = 6x -6 = 48 -6 . . . . use the expression for the angle value

∠WXZ = 42 . . . degrees

3 0
3 years ago
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 42 o
katen-ka-za [31]

Answer:

The answer is below

Step-by-step explanation:

The empirical rule states for a normal distribution, 68% of the data falls within one standard deviation, 95% falls within two standard deviations and 99.7% falls within three standard deviations.

z score is given by:

z=\frac{x-\mu}{\sigma}

Given that mean (μ) = 42 ounces, standard deviation (σ) = 10 ounces.

a) 99.7% falls within three standard deviations. Therefore:

99.7% falls within μ ± 3σ = 42 ± 3(10) = 42 ± 30 = (12, 72)

Therefore 99.7% falls within 12 ounce and 72 ounce.

b) For x > 26

z=\frac{26-42}{10}=-1.6\\

For x < 66

z=\frac{66-42}{10}=2.4\\

From the normal distribution table, P(26 < x < 66) = P(-1.6 < z < 2.4) = P(z < 2.4) - P(z < -1.6) = 0.9918 - 0.0548 = 0.937 = 93.7%

c) For x > 34

z=\frac{34-42}{10}=-0.8\\

From the normal distribution table, P(x > 34) = P(z > -0.8) = 1 - P(z < -0.8) = 1 - 0.2119 = 0.7881 = 78.81%

6 0
3 years ago
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A population of bacteria is increasing by 10% cach hour. Find the percentage increase in the population every 3 hours.​
Otrada [13]
In 3 hours, it increases 33.1% .

3 0
2 years ago
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