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Brrunno [24]
3 years ago
9

Meg loves to read. Her favorite author is Dr. Seuss. For every 11 books Meg owns 8 are Dr. Seuss books. If Meg has 40 Dr. Seuss

books, how many total books does she have?
Mathematics
1 answer:
ANTONII [103]3 years ago
8 0

Answer:

Step-by-step explanation:

if the ratio is 8:11 then 40:x

Cross multiply

8    40

11    x

8x=440

And divide by 8

x=55. She has 55 books

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a 10 foot ladder is leaning against the wall. the bottom of the ladder is 4ft from the base of the wall. which of the following
Pie

Answer:

The height of the wall is 9.17ft

Step-by-step explanation:

The length of the ladder is 10ft

Distance from the foot of the ladder to the wall is 4ft

The height of ladder is unknown.

To solve this question, you'll require a pictorial illustration of the situation. Kindly check attached document for that.

Since it's a right angle triangle, we have two sides with one sides unknown, we can use pythagorean theorem to find the third side.

The hypothenus (x) is 10ft

The adjacent is (y) 4 ft

The opposite (z) (height of the wall) is unknown.

X² = Y² + Z²

10² = 4² + Z²

100 = 16 + Z²

Z² = 100 - 16

Z² = 84

Z = √(84)

Z = 9.165 = 9.17ft

The height of the wall is 9.17ft

5 0
3 years ago
The time to failure (in hours) of fans in a personal computer can be modeled by an exponential distribution with l=0.0003
Dvinal [7]

Answer: 0.0497870 ; 0.87754

Step-by-step explanation:

Given that :

λ = 0.0003

Defining a continuous distribution function :

F(x) = 1 - e^-λx = 1 - e^-0.0003x ; x ≥ 0

a. What proportion of the fans will last at least 10,000 hours?

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b. What proportion of the fans will last at most 7000 hours?

P(x ≥ 7000) = 1 - p(x ≤ 7000) = 1 - e^-0.0003(7000)

1 - 0.12245642825 = 0.87754

3 0
3 years ago
Based on the areas of the squares determine whether the triangle shown is a right triangle
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Answer:

The answer is "triangle ABC is not a right triangle".

Step-by-step explanation:

For a right-angle triangle:

Its square upon on longest or triangular edges is equivalent to the total of the other two squares

Its parameters indicated throughout the question are;

Square of lateral length A = 7 \ inch^2

The square of lateral length B = 18 \ inch^2

The square of lateral length C=27\  inch^2

Thus, the longest side is C, as well as the size inch^2 of the squares of its two sides, is7 + 18 = 25 \ inch^2, lower than square C = 27\ inch^2, hence, the ABC triangle is not correct. Its longest edge is consequently C.

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Archaeologists want to represent a rectangular dig site on the coordinate grid. Each unit represents 1 m. Three vertices of the
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I am to young to help you
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