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3 years ago

Need help with 14!!! Please show ur work.My teacher is a Karen soooo yeah! Have a nice day

Mathematics

2 answers:

zvonat [6]3 years ago

8 0

2.5 inches is 15 miles so if it’s 4 inches on the map it would be 27 miles cuz each half inch is 3 miles. 3x9=27

UkoKoshka [18]3 years ago

7 0

Answer:

A) 24 miles

Step-by-step explanation:

15/2.5 = 6 miles per inch

(6)(4) = 24 miles

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Please help me for the love of God if i fail I have to repeat the class

Elena-2011 [213]

$\theta$ is in quadrant I, so $\cos\theta>0$ .

$x$ is in quadrant II, so $\sin x>0$ .

Recall that for any angle $\alpha$ ,

$\sin^2\alpha+\cos^2\alpha=1$

Then with the conditions determined above, we get

$\cos\theta=\sqrt{1-\left(\dfrac45\right)^2}=\dfrac35$

and

$\sin x=\sqrt{1-\left(-\dfrac5{13}\right)^2}=\dfrac{12}{13}$

Now recall the compound angle formulas:

$\sin(\alpha\pm\beta)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta$

$\cos(\alpha\pm\beta)=\cos\alpha\cos\beta\mp\sin\alpha\sin\beta$

$\sin2\alpha=2\sin\alpha\cos\alpha$

$\cos2\alpha=\cos^2\alpha-\sin^2\alpha$

as well as the definition of tangent:

$\tan\alpha=\dfrac{\sin\alpha}{\cos\alpha}$

Then

1. $\sin(\theta+x)=\sin\theta\cos x+\cos\theta\sin x=\dfrac{16}{65}$

2. $\cos(\theta-x)=\cos\theta\cos x+\sin\theta\sin x=\dfrac{33}{65}$

3. $\tan(\theta+x)=\dfrac{\sin(\theta+x)}{\cos(\theta+x)}=-\dfrac{16}{63}$

4. $\sin2\theta=2\sin\theta\cos\theta=\dfrac{24}{25}$

5. $\cos2x=\cos^2x-\sin^2x=-\dfrac{119}{169}$

6. $\tan2\theta=\dfrac{\sin2\theta}{\cos2\theta}=-\dfrac{24}7$

7. A bit more work required here. Recall the half-angle identities:

$\cos^2\dfrac\alpha2=\dfrac{1+\cos\alpha}2$

$\sin^2\dfrac\alpha2=\dfrac{1-\cos\alpha}2$

$\implies\tan^2\dfrac\alpha2=\dfrac{1-\cos\alpha}{1+\cos\alpha}$

Because $x$ is in quadrant II, we know that $\dfrac x2$ is in quadrant I. Specifically, we know $\dfrac\pi2$ , so $\dfrac\pi4$ . In this quadrant, we have $\tan\dfrac x2>0$ , so

$\tan\dfrac x2=\sqrt{\dfrac{1-\cos x}{1+\cos x}}=\dfrac32$

8. $\sin3\theta=\sin(\theta+2\theta)=\dfrac{44}{125}$

6 0

4 years ago

A study show that there are 16 vehicles for every 10 households how many vehicles are there for 107 million households

Lisa [10]

$\bf \begin{array}{ccll}
vehicles&households\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
16&10\\
v&107E6
\end{array}\implies \cfrac{16}{v}=\cfrac{10}{17E6}\implies \cfrac{17E6\cdot 16}{10}=v$

just to clarify the engineering notation, E6 is just 1 and 6 zeros, or a million, thus, 107,000,000 is just 107E6.

6 0

3 years ago

How to get the volume of a answer

Eduardwww [97]

Mass* length * breadth

3 0

3 years ago

Can someone please explain the steps<br> (: (: please really need help

Vanyuwa [196]

Answer:

x = 128

Step-by-step explanation:

x and 128 are vertical angles

Vertical angles are equal

x = 128

3 0

3 years ago

Read 2 more answers

Find the area of a circle whose circumference is 18.84.

ivann1987 [24]

Answer:

310.23

Step-by-step explanation:

circumference is radius * 2

to get radius from circumference, divide circumference by 2

18.84 / 2 =9.42

area for circle:

pi * r^2

3.14 * 9.94^2

3.14 * 98.8

310.23

7 0

2 years ago