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3 years ago

Explain why the ratio 3 feet / 1 yard has a value of one

Mathematics

1 answer:

cluponka [151]3 years ago

6 0

Because There are 3 feet in 1 yard, so 3 feet and 1 yard are the same thing, hence a 1:1 ratio.

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Find the roots of h(t) = (139kt)^2 − 69t + 80

Sonbull [250]

Answer:

The positive value of $k$ will result in exactly one real root is approximately 0.028.

Step-by-step explanation:

Let $h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80$ , roots are those values of $t$ so that $h(t) = 0$ . That is:

$19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0$ (1)

Roots are determined analytically by the Quadratic Formula:

$t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}$

$t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$

The smaller root is $t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$ , and the larger root is $t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$ .

$h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80$ has one real root when $\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0$ . Then, we solve the discriminant for $k$ :

$\frac{80\cdot k^{2}}{19321} = \frac{4761}{1493204164}$

$k \approx \pm 0.028$

The positive value of $k$ will result in exactly one real root is approximately 0.028.

7 0

3 years ago

Help me- what number of units and where

gladu [14]

8 units to the left and 5 units up.

Just pick any point on the blue triangle and count how many you move to get to that same point on the red triangle.

4 0

3 years ago

A composite figure is made up of

son4ous [18]

a composit figure is made up of two figures

6 0

3 years ago

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Someone help ! It’s talking about Integers !!

nataly862011 [7]

Step-by-step explanation:

The numbers to the right of 0 are positive. The numbers to the left of 0 are negative. 0 is neither positive nor negative.

6 0

3 years ago

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The picture shows a circular clock face.

marysya [2.9K]

Answer:

[C] 25π square inches

Step-by-step explanation:

Given that:

the long hand of the clock is about 5 inches long.

To Find:

What is the approximate area of the clock face?

Solve:

Formula - A =πr²

Note that;

π = 3.14 (about)

Radius - 5 inches

A =πr²

A = 3.14(5)²

A = 3.14(25)

A = 78.5

Now let see the answer choices:

A. 5π square inches ≈ 5(3.14) = 15.7

B. 10 π square inches ≈ 10(3.14) = 31.4

C. 25 π square inches ≈ 25(3.14) = 78.5

D. 100 π square inches ≈ 100(3.14) = 314

Hence, the answer is [C] 25 π square inches

Kavinsky~

6 0

2 years ago

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