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2 years ago

Solve using proportions.

Mathematics

1 answer:

denis23 [38]2 years ago

3 0

Answer:

7.8 = k

Step-by-step explanation:

Since the figures are similar, we can use proportions

c k

----- = -------

b j

Substituting the values in

6.5 k

----- = -------

4 4.8

Using cross products

6.5 * 4.8 = 4k

31.2 = 4k

Divide each side by 4

31.2/4 = 4k/4

7.8 = k

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A geologist found a cubic foot block of ore containing iron and gold. The geologist knows that iron weighs 500 pounds per cubic

Rom4ik [11]

Answer:

https://www.scribd.com/document/220049145/treyouna-harris-writing-linear-equations-in-standard-form-google-docs

This might help.

Step-by-step explanation:

5 0

3 years ago

Find the value of x in the following diagram, 3x + 10 Here, B and D are points of tangency.

SVEN [57.7K]

Given:

The given circle with center at C. The lines AB and AD are tangents to the circle C.

The length of AB is (3x + 10)

The length of AD is (7x - 6)

We need to determine the value of x.

Value of x:

Since, we know the property of tangent that, "if two tangents from the same exterior point are tangent to a circle, then they are congruent".

We shall determine the value of x using the above property.

Thus, we have;

AB = AD

Substituting the values, we get;

$3x+10=7x-6$

Subtracting both sides of the equation by 7x, we get;

$-4x+10=-6$

Subtracting both sides of the equation by 10, we get;

$-4x=-16$

Dividing both sides of the equation by -4, we get;

$x=4$

Thus, the value of x is 4.

5 0

3 years ago

I will give brainliest to the first to answer

bonufazy [111]

Answer:

2/6 = 1/3

8/1 = 8

2/4 = 4/8

2/8 = 1/4

4/4 = 1

Step-by-step explanation:

2/2 = 1 and 6/2 = 3 so that would make the equivalent fraction 1/3

for 8/1 it is the same as just 8

2*2 = 4 and 4*2 = 8 so that would make the equivalent fraction 4/8

the same goes for 2/8 which is 1/4

and 4/4 is just 1

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

5 0

2 years ago

Read 2 more answers

Enter the correct value so that each expression is a perfect-square trinomial. x2 – 10x +

Marrrta [24]

Use the formula ( $\frac{b}{2}$ )^2

in order to create a new term to complete the square.

(x−5)2−25

6 0

3 years ago

A tank contains 100 gal of brine made by dissolving 80 Ib of salt in water. Pure water runs into the tank at the rate of 4 gal/m

ohaa [14]

Answer:

Step-by-step explanation:

Amount of brine = 100 gal

amount of salt = 80 lb

rate of water running = 4 gal / min

Let A be the amount of salt in lb in the tank at any time t.

(a) dA/dt = rate of salt in - rate of salt out

Rate of salt in = 0

rate of salt out = A x 4 / 100 = A / 25 lb/min

So, dA/dt = 0 - A/25 = - A/25 lb/min

$\frac{dA}{A}=-\frac{1}{25}dt$

$\int \frac{dA}{A}=-\frac{1}{25}\int dt$

$A(t) = C e^{-0.04t}$

When t = 0, A = 80 lb

So,

$A(t) = 80 e^{-0.04t}$

(b) Now, A = 40 lb

So,

$40 = 80 e^{-0.04t}$

$0.5 = e^{-0.04t}$

take log on both the sides

$ln 0.5 = - 0.04 t$

t = 17.3 minutes

8 0

3 years ago