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3 years ago

The equilateral triangle and the rectangle have the same perimeters. Find the value of x.

1 answer:

3 0

We can't answer the question, you haven't given us the information, we need to know what the x is here, or if they gave you a value.

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Miguel biked 14 km in the same amount of time that linda hiked 10 km. Miguel's rate was 4 km/h more than linda's. How fast did e

matrenka [14]

The first thing we must do is define a variable.

We have then:

x: Linda's speed.

Then, by definition, the time traveled is equal to the distance between the velocity.

We have then:

For Linda:

$t = \frac{10}{x}$

For Miguel:

$t = \frac{14}{x + 4}$

Then, since time is the same, then:

$\frac{10}{x} = \frac{14}{x + 4}$

Clearing Linda's speed we have:

$10 (x + 4) = 14x$

$10x + 40 = 14x$

$40 = 14x-10x$

$40 = 4x$

$x = \frac{40}{4}$

$x = 10$

Then, Miguel's speed is:

$x + 4 = 10 + 4 = 14$

Answer:

Linda's speed is 10 Km/h

Miguel's speed is 14 Km/h

3 0

3 years ago

The outside of a picture frame measures 14 in and 20 in 196in^2 of the picture shows find the thickness of the frame

LuckyWell [14K]

The described picture frame can be visualized into two separate parts. The first area is equal to the area using the outermost dimensions for the length and width.
Area = Length x Height
Area = (20 in) x (14 in)
Area = 280 in²

We are given that the area is only equal to 192 in². We subtract this value from the computed area.
Difference = 280 in² - 192 in²
difference = 88 in²

This area is equal to the area of the hollow space inside the frame. That is equal to,
height = 20 in - 2x
length = 14 in - 2x

The area,
88 = (20 - 2x)(14 - 2x)

Simplify the right hand side of the equation.
88 = 280 - 68x + 4x²

Divide the equation by 4,
22 = 70 - 17x + x²

Transposing,
x² - 17x - 48 = 0
The factors of the equation is 58.2.

Thus, the thickenss is equal to 58.2 in

5 0

3 years ago

Re-write the following expressions with the fewest terms possible: 12x-10-8x+99y+6

dimaraw [331]

12x - 10 - 8x + 99y + 6

With the fewest terms possible is

4x + 99y - 4

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

6 0

3 years ago

In a function why berries directly with X in the constant of variation is two which table could represent the function

valentina_108 [34]

The correct option is (D)

<h3>What is a function?</h3>

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

the complete question is attached below

As, per the data given we can say that

the variation of quantity is 2.

So, the equation can be

y=2x

This equation defined by part (4) of the question.

Learn more about function here:

brainly.com/question/12431044

#SPJ1

6 0

2 years ago

If a boat depreciates in value according to the simple interest formula Y=20,000(.92)^2 find the rate of decay. Write as a perce

Alexandra [31]

Answer:

Rate of Decay = 8%

Step-by-step explanation:

The decay formula is:

$F=P(1-r)^t$

Where F is the final value (here, it is given as "Y")

P is the initial value (here, given as 20,000)

r is the rate of decay (what we need to find)

t is the time (given as 2)

Comparing both the equations:

$F=P(1-r)^t\\Y=20,000(0.92)^2$

We see that:

1 - r =0.92

We solve for "r":

1 - 0.92 = r

0.08 = r

The rate of decay is 0.08, as a percentage, we need to multiply by 100, so we have:

0.08 * 100 = 8%

Rate of Decay = 8%

6 0

3 years ago