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Cerrena [4.2K]
3 years ago
14

A musician purchases a pair of cube-shaped speakers that are 9 inches across. If the face of the speaker takes up of the total v

olume of the speaker, how much volume is left in both speaker cabinets? 607 cu.in. 1215 cu.in. 1458 cu.in. 800 cu.in.
Mathematics
1 answer:
netineya [11]3 years ago
3 0

Answer:

Assuming "the speaker takes up 1/6 of the internal volume"

volume is 9³ in³

you want the remaining volume, which is 5/6 of the total

(5/6)9³ = 607.5 in³

double that if you want the remaining volume for BOTH speakers....

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How would I find angle B for this bridge? What formula would I use?
astraxan [27]
The bridge attached is drawn according to given dimensions, and it doesn't look right.  Please double check the given dimensions.

Calculations:
Horizontal part of bottom chord below the 70 degree triangle 
= 15.1*cos(70) = 5.16  (which is a major prt of the 6.3 units.
Height of vertical pieces DF and EH
= 15.1*sin(70) = 14.19
Note that structurally, DF and EH do not help in reducing stress on the bridge, since they are perpendicular to the bottom chord.

Therefore 
angle B = atan(14.19/(6.3-5.16))=85.41 degrees

I believe the whole geometry does not look right, esthetically, and structurally, since the compression members are much longer than the tension members in the middle.  (The vertical members carry no force.) 
If  you can review the input data, or post a new question, I will be glad to help.

4 0
3 years ago
Read 2 more answers
Which of the following relations is NOT a function?
topjm [15]
According to Wikipedia: "<span>In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output."

So based of this we need to look for a set where one of the x values or the y values is the same, and the other number is different.

Answer:
B.
(1,4) and (1,1) both have the same x, but different y!
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5 0
3 years ago
Answer please show steps please
erik [133]

Answer:

25 girls

Step-by-step explanation:

Let

x denote number of boys

and

y denote number of girls

According to the statement that total 45 people came,

x+y = 45      => Eqn 1

And total paid amount was 175

So,

5x + 3y = 175    => Eqn 2

For solving, We will use the substitution method

So, from eqn 1

x = 45-y

Putting value of x in eqn 2

5(45-y) +3y = 175

225 - 5y + 3y = 175

-2y+225 = 175

-2y = 175-225

-2y = -50

2y = 50

y = 25

Putting y =25 in eqn 1

x+25 = 45

x = 45 - 25

x = 20

As y= 25

So, 25 girls came to the dance ..

6 0
3 years ago
Shelly and Mickelle are making a quilt. They have a piece of fabric that measures 48 inches by 168 inches.
irinina [24]

Answer:

(a) The largest square side is 24 inches

(b) No. of pieces are 14

Step-by-step explanation:

As per the question:

The dimensions of the fabric are 48 in\times 168 in

(a)To calculate the side length of the largest square piece, we need to find the Greatest Common Factor (GCF) of the dimensions as:

48 = 2\times 2\times 2\times 2\times 3

168 = 2\times 2\times 2\times 3\times 7

Therefore,

The GCF of the dimensions = 48 = 2\times 2\times 2\times 3 = 24

Therefore, the largest side of  a square that can be cut from the fabric is 24 inches.

(b) The no. of pieces of 24 inches that can be cut from the fabric can be given as:

No. of pieces = \frac{Total\ Area}{Area\ of\ largest\ square}

No. of pieces = \frac{48\times 168}{24\times 24} =  14

7 0
3 years ago
Read 2 more answers
Kyra multiplied 0.27 by a power of ten and got 2.7. What power of ten did she multiply by?
sveticcg [70]

Answer:

the answer would be A.

Step-by-step explanation:

Look for how many decimal places the decimal moved and thats how many 0's would be in your number

7 0
3 years ago
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