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3 years ago

Determine the quotient of 2 over 5 divided by 3 over 4. (2 points) PLS I NEED HELP FAST PLS

Mathematics

2 answers:

marshall27 [118]3 years ago

8 0

Answer:

8/15

Step-by-step explanation:

Bess [88]3 years ago

7 0

Answer:

8 over 15

Step-by-step explanation:

you should get a calculator.

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Please help me <br><br>If 180°<α<270°, cos⁡ α=−8/17, what is sin -α?

rewona [7]

Starting from the fundamental trigonometric equation, we have

$\cos^2(\alpha)+\sin^2(\alpha)=1 \iff \sin(\alpha)=\pm\sqrt{1-\cos^2(\alpha)}$

Since $180$ , we know that the angle lies in the third quadrant, where both sine and cosine are negative. So, in this specific case, we have

$\sin(\alpha)=-\sqrt{1-\cos^2(\alpha)}$

Plugging the numbers, we have

$\sin(\alpha)=-\sqrt{1-\dfrac{64}{289}}=-\sqrt{\dfrac{225}{289}}=-\dfrac{15}{17}$

Now, just recall that

$\sin(-\alpha)=-\sin(\alpha)$

to deduce

$\sin(-\alpha)=-\sin(\alpha)=-\left(-\dfrac{15}{17}\right)=\dfrac{15}{17}$

6 0

2 years ago

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Please explain to me how 3.2÷4=0.8 is done

DedPeter [7]

To make it easier just assume there is no decimal point then just work out the 32÷4 where we know that 4 goes into 32 8 times so you get 8 remember the decimal point and since it was one decimal place you will push the decimal over to the left of 8 and that is how you get 0.8

4 0

2 years ago

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Determine triangle type

nika2105 [10]

Answer:

isosceles acute

Step-by-step explanation:

two same sides so it is isosceles and all angles under 90 so acute

4 0

2 years ago

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I don't understand rational and irrational numbers

PSYCHO15rus [73]

A rational number is a number which can be expressed as a fraction whose numerator and denominator are both integers and whose denominator is not equal to zero. Rational numbers include all integers, fractions, mixed numbers, and some decimal numbers.

Note : All terminating and repeating decimal numbers are rational numbers because those numbers can be expressed as a fraction. On the other hand, a non repeating number and non terminating decimal, like square root of 2, is an irrational number.

$\dfrac{7}{16} \ as \ a \ decimal = 0.4375$

$Set \ up \ the \ long \ division.$

$Calculate \ 70 \div 16, \ which \ is \ 4 \ with \ a \ remainder \ of \ 6.

$

$Bring \ down \ 0, so \ that \ 60 \ is \ large \ enough \ to \ be \ divided \ by \ 16.

$

$Calculate \ 60 \div 16, which \ is \ 3 \ with \ a \ remainder \ of \ 12.

$

$Bring \ down \ 0, so \ that \ 120 \ is \ large \ enough \ to \ be \ divided \ by \ 16.

$

$Calculate \ 120 \div 16, which \ is \ 7 \ with \ a \ remainder \ of \ 8.

$

$Bring \ down \ 0, so \ that \ 80 \ is \ large \ enough \ to \ be \ divided \ by \ 16.$

$Calculate \ 80 \div 16, which \ is \ 5. 
$
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$Decimal = 0.4375
$

4 0

2 years ago

Write the equation of a line Parallel to the given line and passes through points (-4, -3); (2, 3). Hints find the slope by usin

julia-pushkina [17]

First, we obtain the gradient (slope) of the first parallel line

$\text{gradient, m}_1\text{ = }\frac{y_2-y_1}{x_2-x_1}\text{ = }\frac{3-(-3)}{2-(-4)}=\frac{6}{6}\text{ = 1}$

Recall that since both lines are parallel, we have that,

$m_1=m_2$

Thus

$m_2\text{ = 1}$

Hence, we can find the equation of the parallel line given that it passes through the points (-4, -3)

Using

$\begin{gathered} y\text{ = mx + c} \\ \text{where m = m}_2\text{ = 1} \\ \text{and x = -4 , y = -3, we have} \\ -3\text{ = 1(-4) + c} \\ -3\text{ = -4 + c} \\ 4\text{ - 3 = c} \\ c\text{ = 1} \\ \text{Thus, the equation of the line is y = (1)x + 1} \\ y\text{ = x + 1} \end{gathered}$

5 0

1 year ago