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2 years ago

12

While driving in the United States, Franklin sees that the height of a tunnel is marked as 10’6”. He knows his truck is 3.3m tal

l. Can he drive through the tunnel?

2 answers:

Sonja [21]2 years ago

7 0

To my knowledge (im not the smartest person lol) I would say no he cannot

Zina [86]2 years ago

5 0

No he cannot :D
hope this helpXD

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Given segments AB and CD intersect at E.

nata0808 [166]

The length of a segment is the distance between its endpoints.

$\mathbf{AB = 3\sqrt{2}}$
AB and CD are not congruent
AB does not bisect CD
CD does not bisect AB

<u>(a) Length of AB</u>

We have:

$\mathbf{A = (1,2)}$

$\mathbf{B = (4,5)}$

The length of AB is calculated using the following distance formula

$\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

So, we have:

$\mathbf{AB = \sqrt{(1 - 4)^2 + (2 - 5)^2}}$

$\mathbf{AB = \sqrt{18}}$

Simplify

$\mathbf{AB = 3\sqrt{2}}$

<u>(b) Are AB and CD congruent</u>

First, we calculate the length of CD using:

$\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

Where:

$\mathbf{C = (2, 4)}$

$\mathbf{D = (2, 1)}$

So, we have:

$\mathbf{CD = \sqrt{(2 -2)^2 + (4 - 1)^2}}$

$\mathbf{CD = \sqrt{9}}$

$\mathbf{CD = 3}$

By comparison

$\mathbf{CD \ne AB}$

Hence, AB and CD are not congruent

<u>(c) AB bisects CD or not?</u>

If AB bisects CD, then:

$\mathbf{AB = \frac 12 \times CD}$

The above equation is not true, because:

$\mathbf{3\sqrt 2 \ne \frac 12 \times 3}$

Hence, AB does not bisect CD

<u>(d) CD bisects AB or not?</u>

If CD bisects AB, then:

$\mathbf{CD = \frac 12 \times AB}$

The above equation is not true, because:

$\mathbf{3 \ne \frac 12 \times 3\sqrt 2}$

Hence, CD does not bisect AB

Read more about lengths and bisections at:

brainly.com/question/20837270

7 0

2 years ago

a radioactive substance has a half-life of 2 seconds. A scientist begins with a sample of 20 grams. How much of the substance re

s344n2d4d5 [400]

Answer:

1.25 g

Step-by-step explanation:

you start with 20g at 0 seconds.

divide by half after 2 seconds and you have 10g.

at 4 seconds you have 5g.

at 6 seconds you have 2.5g.

at 8 seconds you have 1.25g.

5 0

2 years ago

What is the value of the this expression when a=5 and k=-2

Marizza181 [45]

Answer:

Where is the equation

Step-by-step explanation:

7 0

3 years ago

Need help pls ! 20points <br> no links

Elenna [48]

Answer:

Step-by-step explanation:

We need only identify the x- and y-coordinates of the point of intersection of these two graphs. That point is (-4, 2).

7 0

3 years ago

3) Julian's shadow is 6 feet long. At the same time a 31 foot tall building casts a shadow that is 28 feet long. What proportion

SCORPION-xisa [38]

You are given the height of the building and the length of the shadow the building gives, so you can set that up as a proportion of Height of building over the length of the shadow so 31/28.

Now you can set the same proportion for Julian, using X for her height, so you would have x/6.

To solve for her height, set the two proportions equal and solve for x:

31/28 = x/6

Cross multiply:

31 * 6 = 28 *x

186 = 28x

Divide both sides by 28:

x = 186 / 28

x = 6.64 feet tall

5 0

3 years ago