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4 years ago

What is 628 times 33 with work shown

Mathematics

1 answer:

Anarel [89]4 years ago

3 0

628
x33
1884
+18840
20724 <- answer

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A ladder 50 dm long when set against the wall of a house just reaches a window at a height of 48 dm. How far is the lower end of

Firlakuza [10]

Answer:

14dm

Step-by-step explanation:

To solve this question we can use the Pythogorean theorem

a^2 + b^2 = c^2

In this case, The ladder is the hypotenuse, the height is one of the leg of the right angle triangle

Let's keep the missing side as x

If we apply the theorem,

x^2 + 48^2 = 50^2

x^2 + 2304 = 2500

x^2 = 2500 - 2304

x^2 = 196

$x = \sqrt{196} \\ x = 14$

5 0

3 years ago

A car rental agency has 18 vehicles available, of which 3 are convertibles. What is the probability that a randomly selected veh

Westkost [7]

Answer:

$\frac{1}{6}\\$

Step-by-step explanation:

To find the probability, divide the number of desired outcomes by the total:

This will be 3/18, since there are 3 convertibles and there are 18 total cars

Simplify 3/18

= $\frac{1}{6}$

7 0

3 years ago

Which matrices are multiplicative inverses?

AnnyKZ [126]

Answer:

Option B

Step-by-step explanation:

Property of the multiplicative inverse,

A × A⁻¹ = I

Here A⁻¹ is the inverse of matrix A and I = Identity matrix.

Option A

$\begin{bmatrix}1 & -3\\ 1 & -4\end{bmatrix}\times \begin{bmatrix}4 & -3\\ 1 & 1\end{bmatrix}=\begin{bmatrix}1 & -6\\ 0 & -7\end{bmatrix}$

False

Option B

$\begin{bmatrix}1 & 3\\ 1 & 4\end{bmatrix}\times \begin{bmatrix}4 & -3\\ -1 & 1\end{bmatrix}=\begin{bmatrix}1 & 0\\ 0 & 1\end{bmatrix}$

True

Option C

$\begin{bmatrix}-1 & 3\\ -1 & 4\end{bmatrix}\times \begin{bmatrix}4 & -3\\ 1 & 1\end{bmatrix}=\begin{bmatrix}-1 & 6\\ 0 & 7\end{bmatrix}$

False

Option D

$\begin{bmatrix}1 & -3\\ -1 & 4\end{bmatrix}\times \begin{bmatrix}4 & -3\\ 1 & 1\end{bmatrix}=\begin{bmatrix}1 & -6\\ 0 & 7\end{bmatrix}$

False

Option B is the correct option.

8 0

3 years ago

Find the sum. Enter your answer in simplest form.<br><br> 4/9 + 4/9 + 2/5 =

stellarik [79]

Answer:

58/45

Step-by-step explanation:

4/9 + 4/9 + 2/5

8/9 + 2/5

- 8/9 ⋅ 5/5 = 40/45

- 2/5 ⋅ 9/9 = 18/45

40/45 + 18/45 = 58/45

4 0

3 years ago

Write an algebraic expression for the phrase. the sum of f and 6 f – 6 f + 6 6f

konstantin123 [22]

The sum means adding, so your answer is f + 6

6 0

4 years ago

Read 2 more answers