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3 years ago

How many coins make $7.68 in cents

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

3 0

768 pennies my dudeeee

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Given cos theta = - 2/5 and sin theta < 0, find the six trigonometric values. I need help with this

Lena [83]

Answer:

$\sin\,\theta =-\frac{\sqrt{21} }{5}$

$\tan\,\theta =\frac{\sqrt{21} }{2}$

$\sec\,\theta = \frac{-5}{2}$

$cosec\,\theta =\frac{-5}{\sqrt{21} }$

$\cot\,\theta =\frac{2}{\sqrt{21} }$

Step-by-step explanation:

$\cos\theta =\frac{-2}{5}$

As both $sin\,\theta$ ,

$\theta$ lies in the third quadrant.

In the third quadrant,

$\sin\theta$

$\sin\,\theta =-\sqrt{1-\cos^2\,\theta} \\=-\sqrt{1-(\frac{-2}{5})^2 } \\\\=-\sqrt{1-\frac{4}{25} }\\\\=-\sqrt{\frac{25-4}{25} }\\\\=-\frac{\sqrt{21} }{5}$

$\tan\,\theta = \frac{\sin\,\theta}{\cos\,\theta }\\\\=\frac{\frac{-\sqrt{21} }{5} }{\frac{-2}{5} }\\\\=\frac{\sqrt{21} }{2}$

$\sec\,\theta =\frac{1}{\cos\,\theta }\\\\=\frac{1}{\frac{-2}{5} }\\\\=\frac{-5}{2}$

$\ cosec \,\theta = \frac{1}{sin\,\theta }\\\\=\frac{1}{\frac{-\sqrt{21} }{5} }\\\\=\frac{-5}{\sqrt{21} }$

$\cot\,\theta =\frac{1}{\tan\,\theta}\\\\=\frac{1}{\frac{\sqrt{21} }{2} }\\\\=\frac{2}{\sqrt{21} }$

3 0

3 years ago

The number of wrecks at a certain intersection varies directly as the number of cars that travel through the intersection. If th

Ierofanga [76]

The number of cars that have passed through the intersection is 245.

<h3>How many cars passed through the intersection?</h3>

Direct variation is when two variables move in the same direction. If one variable increases, the other variable increases.

The equation that represents direct variation is; c = wk

Where:

c = number of cars
w = number of wrecks
k = constant of proportionality

1085 = k31

k = 1085 / 31

k = 35

c = 7 x 35

c = 245

To learn more about direct variation, please check: brainly.com/question/27573249

#SPJ1

3 0

3 years ago

The length of a rectangular garden is 30 yards more than the width. The perimeter is 300 yards. Find the length and width

Delicious77 [7]

Answer:

Length is 90yards and width is 60yards

Step-by-step explanation:

Perimeter= 2( length+width)

let the width be x

then the length will be 30 + x

300 = 2(30+x+x)

150 = 30 + 2x

120= 2x

x = 120/2

x = 60 yards

length= 30+x

= 30 + 60

= 90yards

8 0

2 years ago

Does anyone know how to crack this code?

seraphim [82]

Area of triangle= (base*hieght)/2
T=(5*6)/2=15
T=15
To the right of T = (4*8)/2 = 16
Triangle to the right of T=16
Y=(6*6)/2 = 18
Y=18
A=(5*7)/2 = 17.5
A=17.5
To the right of A = (7*7)/2 = 24.5
A=24.5
E = (6.4*8.5)/2 = 27.2
E = 27.2
I = (2.7*3.6)/2 = 4.86
I = 4.86
N = I cant read N
D = (19*17)/2 = 161.5
D = 161.5
Do you think you can complete the rest?

6 0

4 years ago

Select all that apply.

aksik [14]

Answer:

c. none of the above

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers