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3 years ago

Which property can you use to solve 5(6+9)

Mathematics

1 answer:

topjm [15]3 years ago

3 0

Answer:

Step-by-step explanation:

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Find the value of tan theta if sin theta = 12/13 and theta is in quadrant 2

8090 [49]

Answer:

tanΘ = - $\frac{12}{5}$

Step-by-step explanation:

Using the trigonometric identities

• sin²x + cos²x = 1, hence

cosx = ± √(1 - sin²x )

• tanx = $\frac{sinx}{cosx}$

given sinΘ = $\frac{12}{13}$ , then

cosΘ = ± $\sqrt{1-(12/13)^2}$

Since Θ is in the second quadrant where cosΘ < 0, then

cosΘ = - $\sqrt{1-\frac{144}{169} }$

= - $\sqrt{\frac{25}{169} }$ = - $\frac{5}{13}$

tanΘ = $\frac{\frac{12}{13} }{\frac{-5}{13} }$

= $\frac{12}{13}$ × - $\frac{13}{5}$ = - $\frac{12}{5}$

5 0

3 years ago

Pls help me with this !!!!! it is urgent

OLEGan [10]

The answer is 1A definitely

4 0

3 years ago

At a school 159 students play at least one sport this is 60% of the students how many students are at the school !I need it fast

MaRussiya [10]

Answer:

Step-by-step explanation:

S(60/100)=159

60S=15900

S=265

So there are 265 total students.

3 0

2 years ago

A carpenter has at most $250 to spend on lumber the inequality 8x+12y<250 represents the numbers x of 2 by 8 boards and the n

malfutka [58]

Answer:

The carpenter will not be able to buy 12 '2 by 8 boards' and 14 '4 by 4 boards'.

Step-by-step explanation:

Given:

Amount a carpenter can spend at most = $250

The inequality to represent the amount he can spend on each type of board is given as:

$8x+12y$

where $x$ represents '2 by 8 boards' and $y$ represents '4 by 4 boards'.

To determine whether the carpenter can buy 12 '2 by 8 boards' and 14 '4 by 4 boards'.

Solution :

In order to check whether the carpenter can buy 12 '2 by 8 boards' and 14 '4 by 4 boards' , we need to plugin the $x=12$ and $y=14$ in the given inequality and see if it satisfies the condition or not or in other words (12,14) must be a solution for the inequality.