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3 years ago

The variable is Z is inversely proportional to X. When X is 6, Z has the value 0.5. What is the value of Z when X = 10

1 answer:

6 0

Given that z is inversely proportional to x, then:
zα1/x
hence;
z=k/x
where k is the constant of proportionality;
this implies that:
k=xz
when x=6,z=0.5
thus;
k=0.5*6
k=3
hence;
z=3/x
when x=10,
z=3/10
the answer is 3/10

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Hey i need help solving these and not just the answer i really would like to know how

Mars2501 [29]

Hello,

1)
Let's put some name of vertex:
A with angle A=45°
B with angle B=90°
C The 3 vertex of the triangle of left.
AC=9 , y=AB=BC
With Pythagore, we can say: y²+y²=9²==>2y²=81===>y=9/√2=9√2/2

The other triangle is BDC: cos(60°)=x/y==>x=y*1/2=9√2/4

2)
Let's give some names:

A with angle A=60°
B with angle B=90
C the 3th vertex of the left triangle.
AB=10, BC=y
tan 60°=y/10=sin(60°)/cos(60°)=(√3/2)/(1/2)=√3==>y=10√3

D is the 3 th vertex of the right triangle.
We use Pythagore: y²+y²=x²
x²=2*(10√3)²===>x=10*√6

3 0

3 years ago

8. Find equivalent forms of the rational numbers having a common denominator in each

jeyben [28]

Answer:

26/65 = 2/5 and 6/13 = 30/65

Step-by-step explanation:

Hello!

The easiest way to find a common denominator is to find the factors of each denominator:

5: 1, 5

13: 1, 13

So the greatest common factor is 1. That means the smallest possible denominator will be 5 × 13 × 1.

5 × 13 × 1 = 65

So we can put each fraction with a denominator of 65.

65 ÷ 5 = 13

65 ÷ 13 = 5

So we will multiply each numerator by 13 and 5.

2 × 13 = 26

6 × 5 = 30

We will have $\boxed{\frac{26}{65} = \frac{2}{5} $and$ \frac{6}{13} = \frac{30}{65}}$

Hope this helps!

7 0

3 years ago

Help please ASAP !

dem82 [27]

Tha last one PR=XY is not true.

It should be PR=XZ.

4 0

2 years ago

Jenny's chocolate bar is 34% cocoa. If the weight of the chocolate bar is 66 grams, how many grams of cocoa does it contain? Rou

damaskus [11]

Answer:

22.4 grams

Step-by-step explanation:

66 times 0.34 is 22.44

22.44 rounded to the nearest tenth is 22.4

hope i helped :)

7 0

2 years ago

Read 2 more answers

(-4)(-4) use an exponent to rewrite the expression

DiKsa [7]

For this case we have the following expression:
<span> $(-4)(-4) 
$
By properties of exponents we have:
Same basis, the exponents are added.
We have then:
$(-4)^{1+1}$
Then, rewriting the exponent we have:
$(-4)^{2}$
Therefore, an exponent to rewrite the expression is:
2
Answer:
$(-4)^{2}$
an exponent to rewrite the expression is 2.</span>

5 0

3 years ago