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3 years ago

Daniel is dring a truck at a constant speed. The table shows the distance traveled depending on time.

Mathematics

1 answer:

Alona [7]3 years ago

4 0

Answer:

A,D,F

Step-by-step explanation:

if he drives 90 in 2 hours then in one hour its 45. 45 times 2 is 90. 45 times 3 is 135. 45 times 4 is 180. 45 times 5 is 225. 45 times 6 is 270. 45 times 7 is 315. and 45 times 8 is 360.

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Which of the following inequalities defines the solution<br> set for the inequality 23 - 6x > 5?

Doss [256]

Answer:

x<3

Step-by-step explanation:

23-6x>5

6x>23-5

6x>18

x>18/6

x>3

x<3

4 0

2 years ago

Find the value of x. Write your answer in simplest form.

katrin2010 [14]

Answer:

X=8

Step-by-step explanation:

$(8 \sqrt{2} ) ^{2} = {x}^{2} + {x}^{2} \\ 128 = 2 {x}^{2} \\ {x}^{2} = \frac{128}{2} \\ {x}^{2} = 64 \\ x = 8$

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3 years ago

Evaluate 7^2 + (4x5) - 2^3

Phoenix [80]

So it would be 49+(20)+8

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4 years ago

A fence 6 ft high runs parallel to the wall of a house at a distance of 5 ft. Find the length of the shortest ladder that extend

Anettt [7]

Answer:

L = 15.53 ft

Step-by-step explanation:

using diagram which is attached below

now, using Pythagoras theorem

L² = b² + (5 + x)²...............(1)

using similarity of triangle

$\dfrac{x}{6}=\dfrac{5+x}{b}$

$b=\dfrac{5+x}{x}6$

from equation (1)

$L^2 = (\dfrac{5+x}{x}6)^2 + (5 + x)^2$

$= (5+x)^2(1+\dfrac{36}{x^2})$

$\frac{\mathrm{d} L^2}{\mathrm{d} x}= 2(5+x)(1+\dfrac{36}{x^2})+(5+x)^2(\dfrac{-2\times 36}{x^3})$

$\frac{\mathrm{d} L^2}{\mathrm{d} x}= (5+x)(2-\dfrac{72\times 5}{x^3})$

for maxima or minima

$\frac{\mathrm{d} L^2}{\mathrm{d} x}=0$

x = -5 and x = ∛190 = 5.74

on second derivative 5.74 is the value which comes out to be minimal value which is the distance between the fence and ladder

now,

L² = 241.38

L = 15.53 ft

7 0

3 years ago

Do the side lengths 4, 8, and 10 form a triangle? Select the correct answer and reasoning. Question 9 options: A) No, because 4

Arada [10]

Answer:C

Step-by-step explanation:The side lengths of the triangle is 4, 8 and 10. To check if the sides form a triangle, see if the following inequalities hold true:

✓

5 0

2 years ago