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3 years ago

10 is 5% of what number

2 answers:

6 0

We can use proportion to get the result
10 ----------- 5%
x ------------- 100%
Crossmultiply proportion

5*x=10*100
5x=1000 /:5 divide both sides by 5
x=1000:5
x=200 - its the answer

kondor19780726 [428]3 years ago

3 0

$p\%=\frac{p}{100}\\\\5\%=\frac{5}{100}=0.05\\\\x-the\ number\\\\5\%\ of\ the\ number\ (x)\Rightarrow 0.05x\\\\The\ equation:\\\\0.05x=10\ \ \ \ \ |divide\ both\ sides\ by\ 0.05\\\\x=\frac{10}{0.05}\\\\x=\frac{1000}{5}\\\\\boxed{x=200}\leftarrow ANSWER$

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This one too i need help with all of them

bearhunter [10]

B would be your answer

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2 years ago

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alekssr [168]

Answer:

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Step-by-step explanation:

3 0

2 years ago

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If 0°<0<90° and sin0=12/13, find cos0 using trigonometric identities.

Aleks04 [339]

here's the solution,

we know :

$\sin( \theta) = \dfrac{perpendicular}{hypotenuse}$

So,

$\dfrac{p}{h} = \dfrac{12}{13}$

so.. let the perpendicular be 12x and hypotenuse be 13x

now,

by applying pythagoras theorem,

$b {}^{2} = h {}^{2} - p {}^{2}$

where,

b = base
h = hypotenuse
p = perpendicular

So,

$b {}^{2} = ({13x})^{2} - ({12x})^{2}$
$b {}^{2} = 169x {}^{2} - 144x {}^{2}$
${b}^{2} = 25x {}^{2}$
$b = 5x$

so,

$\cos( \theta) = \dfrac{b}{h}$

$\cos( \theta) = \dfrac{5x}{13x}$

$\cos( \theta) = \dfrac{5}{13}$

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2 years ago

PLEASE HELP I'm having trouble

Anastasy [175]

Answer:

$c_{11}=56.1$

$c_{12}=12.1$

$c_{13}=236$

Step-by-step explanation:

The product of two matrices $X_{m\times{n}}$ and $Y_{n\times{r}}$ equals a matrix $M_{m\times{r}}$ , where the first element of the subscript represents the amount of files of the matrix and the second element represents the amount of columns of the matrix.
Then, in this case $A_{1\times{3}}$ $B_{3\times{3}}$ , therefore, its product will result a matrix $C_{1\times{3}}$ .
Because C matrix is going to have an only file and three columns, we now have to find the values of the elements in each column, based on the elements of A and B.
Commonly, to obtain the values of the resulting matrix, we just have to multiply each file of the first matrix by each column of the second matrix and sum, as follows: