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anzhelika [568]
3 years ago
6

How do I figure out the volume of this image

Mathematics
1 answer:
-BARSIC- [3]3 years ago
8 0
The volume of a rectangular prism can be found from the formula V=B•h
The base is the triangle
The area of the triangle can found using A=b•1/2h
13•1/2(8)=52
V=52 x h
52•9=468

468in^2
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Alexander was given a gift card for a coffee shop. Each morning, alexander uses the card to buy one cup of coffee. Each cup of c
german

Answer:

A = (cost per cup of coffee * number of cups) + balance

$15

Step-by-step explanation:

Given that :

Cost per cup of coffee = $1.50

Number of cups purchased = 4

Balance on card = $9

Let A = worth of gift card

A = (cost per cup of coffee * number of cups) + balance

A = (1.50 * 4) + 9

A = 6 + 9

A = $15

7 0
2 years ago
What does y= 3x - 2 equal?<br><br><br>​
cestrela7 [59]
THE ANSWER WOULD BE X=2/3
8 0
3 years ago
Read 2 more answers
Show with work please.
kolbaska11 [484]

Answer:

$\csc \left(\theta-\frac{\pi }{2}\right)=0.73$

Step-by-step explanation:

The identity you will use is:

$\csc \left(x\right)=\frac{1}{\sin \left(x\right)}$

So,

$\csc \left(\theta-\frac{\pi }{2}\right)$

$\csc \left(\theta-\frac{\pi }{2}\right)=\frac{1}{\sin \left(-\frac{\pi }{2}+\theta\right)}$

Now, using the difference of sin

Note: state that \text{sin}(\alpha\pm \beta)=\text{sin}(\alpha) \text{cos}(\beta) \pm \text{cos}(\alpha) \text{sin}(\beta)

$\csc \left(\theta-\frac{\pi }{2}\right)=\frac{1}{-\cos \left(\theta\right)\sin \left(\frac{\pi }{2}\right)+\cos \left(\frac{\pi }{2}\right)\sin \left(\theta\right)}$

Solving the difference of sin:

$-\cos \left(\theta\right)\sin \left(\frac{\pi }{2}\right)+\cos \left(\frac{\pi }{2}\right)\sin \left(\theta\right)$

-\cos \left(\theta\right) \cdot 1+0\cdot \sin \left(\theta\right)

-\text{cos} \left(\theta\right)

Then,

$\csc \left(\theta-\frac{\pi }{2}\right)=-\frac{1}{\cos \left(\theta\right)}$

Once

\text{sec}(-\theta)=\text{sec}(\theta)

And, \text{sec}(\theta)=-0.73

$-\frac{1}{\cos \left(\theta\right)}=-\text{sec}(\theta)$

$-\frac{1}{\cos \left(\theta\right)}=-(-0.73)$

$-\frac{1}{\cos \left(\theta\right)}=0.73$

Therefore,

$\csc \left(\theta-\frac{\pi }{2}\right)=0.73$

3 0
3 years ago
Write a formula for the general term or nth term for the sequence. Then find the indicated term. five halves comma five fourths
nadya68 [22]
Sequence: 5/2, 5/4, 5/8, 5/16
a8=?

a1=5/2
a2=5/4
a3=5/8
a4=5/16

a2/a1=(5/4)/(5/2)=(5/4)*(2/5)=(5*2)/(4*5)=2/4=1/2
a3/a2=(5/8)/(5/4)=(5/8)*(4/5)=(5*4)/(8*5)=4/8=1/2
a4/a3=(5/16)/(5/8)=(5/16)*(8/5)=(5*8)/(16*5)=8/16=1/2
Ratio: r=a2/a1=a3/a2=a4/a3→r=1/2

an=a1*r^(n-1)
a1=5/2, r=1/2
an=(5/2)*(1/2)^(n-1)
an=(5/2)*[1^(n-1)/2^(n-1)]
an=(5/2)*[1/2^(n-1)]
an=(5*1)/[2*2^(n-1)]
an=5/2^(1+n-1)
an=5/2^n

n=8→a8=5/2^8
a8=5/256

Answers:
The formula for the general term or nth term for the sequence is an=5/2^n
a8=5/256
6 0
3 years ago
V+8w=4v,for v<br><br> -m+5n=-2, for n
jok3333 [9.3K]

Answer:

  • v = 8w/3,
  • n = (m - 2)/5.

---------------------------

<h3>Given equations</h3>
  • v + 8w = 4v and - m + 5n = - 2

<h3>Solve the first equation for v</h3>
  • v + 8w = 4v
  • 4v - v = 8w
  • 3v = 8w
  • v = 8w/3

<h3>Solve the second equation for n</h3>
  • - m + 5n = - 2
  • 5n = m - 2
  • n = (m - 2)/5
6 0
1 year ago
Read 2 more answers
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