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3 years ago

Break Down Math Problem Step By Step For Me 3-3×6+3

1 answer:

5 0

You need to know the order of operations (PEMDAS)
Parentheses
Exponents
Multiplication AND Division
Addition AND Subtraction
So look at the equation. Are there exponents? No. Are there parentheses? No. What about multiplication and division? Yes, so you do these first.
3×6=18
So now you have 3-18+3
Now you have to do addition and subtraction (Left to Right)
3-18=-15
Now you have -15+3
-15+3=-12
-12 is your answer.

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*Need Help!! Pls!!!!

boyakko [2]

1740x2=3480
3480x0.27=939.60
The answer is 27%

4 0

3 years ago

The radius of a cylinder is increased by 15% and its height is decreased by 20%. Find the percentage change in the volume of the

Alexxx [7]

First cylinder(V1) = $\pi$ r²h

insert 10 as r&h
⇒V1 = 1000 $\pi$

second cylinder(V2)= $\pi$ ×11.5² × 8 = 1058 $\pi$

V2-V1 = 58 $\pi$

100 × $\frac{58 \pi }{1000 \pi }$ = 5.8% increase

8 0

3 years ago

The following table provides a probability distribution for the random variable y. Y f(y) 1 0. 20 5 0. 30 6 0. 40 9 0. 10 (a) co

Vitek1552 [10]

The probability distribution table is used to represent individual probabilities

The value of E(y) is 5.0

<h3>How to compute e(y)?</h3>

The value of e(y) is calculated using the following expected value formula

$E(y) = \sum y * P(y)$

So, we have:

$E(y) = 1 * 0.20 + 5 * 0.30 + 6 * 0.40 + 9 * 0.10$

Evaluate

$E(y) = 5.0$

Hence, the value of E(y) is 5.0

Read more about probability distribution tables at:

brainly.com/question/9385303

3 0

2 years ago

Annie was given two pieces of information and must write the equation of a line. She knows the line crosses the y-axis at the po

Mariana [72]

Answer:

Y = -4X + 5

Step-by-step explanation:

X is the slope, If you cover X, you can see that Y = 5

Mark me as brainliest if this helps!

Let me know if you have any questions!

5 0

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; $Cosine = \frac{Base}{Hypotenuse}$ .