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Digiron [165]
2 years ago
15

The variable z is inversely proportional to x. When x is 6, z has the value 0.5. What is the value of z when x= 14?

Mathematics
1 answer:
Lilit [14]2 years ago
7 0
Z is inversely proportional to X is the same as
z is directly proportional to 1/X
which can be written like this:-
y=k/X
________
0.5=k/6
0.5*6=k/6*6
k=3 ;
________
z = 3/14
Z = 0.2
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Step-by-step explanation:

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7 0
2 years ago
Which description does NOT guarantee that a trapezoid is isosceles?
babunello [35]

A trapezoid is isosceles if and only if

(1) The base angles are congruent

(2) The diagonals are congruent

(3) The opposite angles are supplementary

So the description does not guarantee that a trapezoid is isoceles for "Congruent bases".

3 0
3 years ago
The Ratio of boys to girls at a middle school is 3:2. If the school has 400 people how many will be boys?
Mekhanik [1.2K]
You have to divide 400 by 5. That will equal 80. Since the ratio is 3:2 Just multiply 3 by 80 then 2 by 80! :-) 

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5 0
3 years ago
Read 2 more answers
How do I find the y intercept in a fraction
Furkat [3]

ANSWER:

Both functions have the same slope

The linear equation does not have a y-intercept

The table and the grahp express an equivalent function

STEP-BY-STEP EXPLANATION:

In order to compare, we must calculate the slope of the table, knowing that the equation in its slope and intercept form is the following:

\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}

The formula to calculate the slope is the following:

m=\frac{y_2-y_1}{x_2-x_1}

The points are (-6, -9/2) and (4,3), replacing:

m=\frac{3-(-\frac{9}{2})}{4-(-6)}=\frac{3+\frac{9}{2}}{4+6}=\frac{\frac{15}{2}}{10}=\frac{15}{20}=\frac{3}{4}

The slope is 3/4

Now, for b

x = 4

y = 3

m = 3/4

replacing:

\begin{gathered} 3=\frac{3}{4}\cdot4+b \\ b=3-3 \\ b=0 \end{gathered}

The equation is:

y=\frac{3}{4}x

Therefore, the true statements are:

• Both functions have the same slope

,

• The linear equation does not have a y-intercept

,

• The table and the grahp express an equivalent function

8 0
9 months ago
How do I solve for X?
Dmitriy789 [7]

The value of x in the special right triangle is 39.60 ft.

<h3>Right angle triangle</h3>

Right angle triangle has one of its angles as 90 degrees. The side and angles can be found using trigonometric ratios.

Therefore, let's find the base of the triangle with 30 degrees.

sin 30° = opposite / hypotenuse

1 / 2 = 7 / b

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Let's use the value(14 ft) to find the height of the biggest triangle.

sin 30 = opposite / hypotenuse

sin 30 = 14 / h

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Therefore, let's find the value of x .

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x = 28 / 0.70710678118

x = 39.5979797464

x = 39.60 ft

learn more on right triangle here: brainly.com/question/10412877

8 0
2 years ago
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