1. Find the length of X (in the picture) plssss I need help.

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

3 0

Step-by-step explanation:

$\frac{5}{4} = \frac{x}{6} \\ 4x = 30 \\ x = 7.5$

You might be interested in

The successor of a certain number when added to twice the number produces 61. What is the number?

Mademuasel [1]

Answer:

Step-by-step explanation:

3 0

3 years ago

Suppose theta is an angle in the standard position whose terminal side is in quadrant 4 and cot theta = -6/7. find the exact val

zimovet [89]

First off, let's notice that the angle is in the IV Quadrant, where sine is negative and the cosine is positive, likewise the opposite and adjacent angles respectively.

Also let's bear in mind that the hypotenuse is never negative, since it's simply just a radius unit.

$\bf cot(\theta )=\cfrac{\stackrel{adjacent}{6}}{\stackrel{opposite}{-7}}\qquad \impliedby \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{6^2+(-7)^2}\implies c=\sqrt{36+49}\implies c=\sqrt{85} \\\\[-0.35em] ~\dotfill$

$\bf tan(\theta)=\cfrac{\stackrel{opposite}{-7}}{\stackrel{adjacent}{6}} ~\hfill csc(\theta)=\cfrac{\stackrel{hypotenuse}{\sqrt{85}}}{\stackrel{opposite}{-7}} ~\hfill sec(\theta)=\cfrac{\stackrel{hypotenuse}{\sqrt{85}}}{\stackrel{adjacent}{6}} \\\\\\ sin(\theta)=\cfrac{\stackrel{opposite}{-7}}{\stackrel{hypotenuse}{\sqrt{85}}}\implies \stackrel{\textit{and rationalizing the denominator}}{sin(\theta)=\cfrac{-7}{\sqrt{85}}\cdot \cfrac{\sqrt{85}}{\sqrt{85}}\implies sin(\theta)=-\cfrac{7\sqrt{85}}{85}}$

$\bf cos(\theta)=\cfrac{\stackrel{adjacent}{6}}{\stackrel{hypotenuse}{\sqrt{85}}}\implies \stackrel{\textit{and rationalizing the denominator}}{cos(\theta)=\cfrac{6}{\sqrt{85}}\cdot \cfrac{\sqrt{85}}{\sqrt{85}}\implies cos(\theta)=\cfrac{6\sqrt{85}}{85}}$

6 0

3 years ago

There are 250 students in a cafeteria, of which are 120 females and the rest are males.What percent of the students are female?

dalvyx [7]

48 percent of the kids are females and 52 percent are males

6 0

3 years ago

Tutorial

tia_tia [17]

Answer:

aakkakjasjsbsvshsjsbsbanjasjsjj

5 0

2 years ago

Need exact answer please

12345 [234]

The answer is "quadrant II" because first u go five left because of the negative five which is on the x axis then go up 10 because of the positive 10 which on the y axis

5 0

3 years ago

1. Find the length of X (in the picture) plssss I need help.​

1. Find the length of X (in the picture) plssss I need help.