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3 years ago

A bolt has 16 1/2 turns per inch. How many turns would be in 2 1/2 inches of thread?

Mathematics

2 answers:

Ad libitum [116K]3 years ago

7 0

49 and 1/2 turns. Hope this helps.

Kazeer [188]3 years ago

3 0

We know that one inch has 16.5 turns.
To know the number of turns in 2.5 inches of thread, we will simply do a cross multiplication as follows:
number of turns = (2.5 x 16.5) / 1 = 41.25 turns

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The complement of an angle is three times the measurement of the angle. Find the measurement of the larger angle.

olganol [36]

We know that two complements add up to 90.
Let's call the smaller angle x and the larger y.
3x = y
x + y = 90
We can use simple substitution.
x + 3x = 90
4x = 90
x = 22.5

Then, since we know that 3x=y, we can find the larger angle.
3*22.5 = 67.5

4 0

4 years ago

Subtract 7x^2−5xy+8y2 from −2x^2−15xy+9y^2

Digiron [165]

Answer

Subtract $7x^2 -5xy+8y^2$ from $-2x^2 -15xy+9y^2$

then;

$-2x^2 -15xy+9y^2 - (7x^2 -5xy+8y^2)$

Remove the bracket we have;

$-2x^2 -15xy+9y^2 - 7x^2 + 5xy - 8y^2$

Like terms are those terms which have same variable to the same power.

Combine like terms;

$-9x^2 -10xy+y^2$

Therefore, Subtracting $7x^2 -5xy+8y^2$ from $-2x^2 -15xy+9y^2$ we get $-9x^2 -10xy+y^2$

7 0

3 years ago

When the smaller of two consecutive integers is added to four times the larger, the result is 49. Find the integers.

ryzh [129]

$4(n+1)+n=49\\
4n+4+n=49\\
5n=45\\
n=9\\
n+1=10
$

These numbers are 9 and 10.

8 0

3 years ago

(10

Anni [7]

Given:

The matrix multiplication

$\begin{bmatrix}4&5&6\\1&2&3\end{bmatrix}\begin{bmatrix}10\\20\\30\end{bmatrix}$

To find:

The order of resulting matrix.

Solution:

We know that, if order of first matrix is $m_1\times n_1$ and the order of second matrix is $m_2\times n_2$ , then the order of these two matrices is $m_1\times n_2$ .

We have,

$\begin{bmatrix}4&5&6\\1&2&3\end{bmatrix}\begin{bmatrix}10\\20\\30\end{bmatrix}$

Here, the order of first matrix is $2\times 3$ and the order of the second matrix is $3\times 1$ . So, the order of the second matrix is $2\times 1$ . It is also written are 2 by 1.

Therefore, the correct option is A.

6 0

3 years ago

Read 2 more answers

Please help me , I need it

alexgriva [62]

Answer:

A would be 150 times.

Step-by-step explanation:

I can't see the options for Part B so i cant help with that sorry. I think A would be 150 times though because with numbers 1-10, half of them are even and half of them are odd and half of 300 is 150.

7 0

2 years ago