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2 years ago

An example that disproves a conjecture. a Converse b Counterexample c Inverse d Contrapositive

Mathematics

1 answer:

Mnenie [13.5K]2 years ago

4 0

counterexample -this can be in the form of a drawing, statement, or a number

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Mrs. Backstrom built a small wooden box for her cat. The box has a length of one and one tenth feet, a width of 1.6 feet, and a

likoan [24]

Answer:

$\text{Volume of cat box}=3.52\text{ ft}^3$

Step-by-step explanation:

We have been given that Mrs. Backstrom built a small wooden box for her cat. The box has a length of one and one tenth feet, a width of 1.6 feet, and a height of 2 feet. We are asked to find the volume of the box.

Let us convert one and one tenth feet into decimal.

$1\frac{1}{10}=\frac{11}{10}=1.1$

Since the cat box is in form of cuboid, so its volume will be equal to the product of length, width and height as:

$\text{Volume of cat box}=1.10\text{ ft}\times 1.6\text{ ft}\times 2\text{ ft}$

$\text{Volume of cat box}=3.52\text{ ft}^3$

Therefore, the volume of the cat box is 3.53 cubic feet.

8 0

3 years ago

The perimeter of the trapezoid-shaped window frame is 23.59 feet. Write and solve an equation to find the unknown side length x

krok68 [10]

Answer:

$5.62 + 3.65 + 5.62 + x = 23.59$

$x = 8.7 ft$

Step-by-step explanation:

Perimeter of the trapezoid-shaped window = sum of all the sides of the window frame

Thus, the equation to find the unknown side length, x, would be:

✔️ $5.62 + 3.65 + 5.62 + x = 23.59$

Solve for x

$14.89 + x = 23.59$

Subtract 14.89 from each side

$14.89 + x - 14.89 = 23.59 - 14.89$

✔️ $x = 8.7 ft$

4 0

2 years ago

Which sequence is geometric and has 1/4 as it’s fifth term and 1/2 as common ratio is it A)...,1,1/2,1/4,1/8,...

Tresset [83]

A) ...,1,1/2,1/4,1/8,...

7 0

2 years ago

Read 2 more answers

9-c=-13<br> What’s the answer

trapecia [35]

First you do -13+9. That equals -4.
Then bring down -c=-4 because there is a 1 in front of the c so -1c.
Next divide both sides by -1. The -c side cancels out so then your left with -4/-1.
That equals positive 4.
C=4
That’s ur answer.

7 0

2 years ago

Which operation can be used with the augmented matrix below?

ycow [4]

Answer:

Multiply row 2 by-1 and add it to row 3.

Step-by-step explanation:

The given augmented matrix is $\left[\begin{array}{ccc}3&-21&15\\15&8&15\\-2&-1&3\end{array}\right]$

The permissible row operations are:

1. Switching rows

2. Multiplying a row by a nonzero constant.

3. Adding/Subtracting two rows

Therefore the correct option is: Multiply row 2 by-1 and add it to row 3.

5 0

3 years ago