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3 years ago

A flute case is shaped like a rectangular prism. The caseis 5inches tall, 3 inches wide, and has a volume of 255 cubic inches

Mathematics

1 answer:

Anna [14]3 years ago

7 0

Answer:

The length of the case is 17 inches.

Step-by-step explanation:

A flute case is shaped like a rectangular prism with dimensions:

height = 5 inches;
width = 3 inches;
length = x inches.

The volume of the case is 255 cubic inches.

Use formula for the volume of the rectangular prism:

$\text{Volume}=\text{Width}\times \text{Length}\times \text{Height}$

Thus,

$255=5\cdot x\cdot 3\\ \\255=15x\\ \\x=\dfrac{255}{15}=17$

The length of the case is 17 inches.

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In the triangle below, 4/5 represents which ratio?

ASHA 777 [7]

Answer:
sin (C)

Explanation:
In a right-angled triangle, special trig functions can be applied. These functions are as follows:
sin (theta) = $\frac{opposite}{hypotenuse}$

cos (theta) = $\frac{adjacent}{hypotenuse}$

tan (theta) = $\frac{opposite}{adjacent}$ 

Now, let's check the triangle we have:
We have two options:
First option:
5 is the hypotenuse of the triangle
4 is the side adjacent to angle B
Therefore, we can apply the cos function:
cos (B) = $\frac{4}{5}$ 

Second option:
5 is the hypotenuse of the triangle
4 is the side opposite to angle C
Therefore, we can apply the sin function:
sin (C) = $\frac{4}{5}$

Among the two options, the second one is the one found in the choices. Therefore, it will be the correct one.

Hope this helps :)

8 0

4 years ago

Read 2 more answers

Given: a-b= c-d, b=d-1, c=6; prove: a=5

Brut [27]

Given :

a-b = c-d ...1)

b = d-1 ...2)

c = 6

To Prove :

a = 5

Solution :

Adding equation 1 and 2, we get :

(a-b) + (b) = (c-d) + (d-1)

a = c -1 ...3)

Putting given value of c = 6 in above equation, we get :

a = 6 - 1

a = 5

Hence, proved.

6 0

3 years ago

An experienced landscaper can landscape garden with an area of 60sq.m thrice as fast as an apprentice. Working together, it take

Genrish500 [490]

Answer:

It will take the apprentice 24 days working alone

Step-by-step explanation:

Let the number of days it takes the apprentice be x

It will take the landscaper x/3 ( since he is three times faster)

The rate for both will be 60/6 = 10 sq m per day

Rate for apprentice is 60/x

rate for the boss is 60/x/3 = 180/x

Adding the rates together;

60/x + 180/x = 10

240/x = 10

240 = 10x

x = 240/10

x = 24 days

7 0

3 years ago

Calculate the percentage increase in cases from 2007 to 2009?

k0ka [10]

Answer:

7.6%

Step-by-step explanation:

1141/15000 × 100 = 7.60667

but it's not an option...

the difference between 15000 and 16141 is 1141

3 0

3 years ago

−0.6(x+3)+0.1(−10x−7)

Evgen [1.6K]

Answer:

-1.6x-2.5 is the answer

Step-by-step explanation:

In pic

(Hope this helps can I pls have brainlist (crown)☺️)

4 0

3 years ago