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Tamiku [17]
2 years ago
12

Select the sum that is equivalent to the difference shown:

Mathematics
1 answer:
Phantasy [73]2 years ago
4 0

Answer:

the answer is c

Step-by-step explanation:

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PLease help <br> The segments shown below could form a triangle True or false ?
grigory [225]

Answer:

true

Step-by-step explanation:

for a right triangle no

3 0
3 years ago
If the sales tax is 6.75%, how much tax would Adrian pay if he bought two CD's at $16.99 each and one DVD for $36.29.
Reptile [31]
CD:2 at $16.99 each=$33.98
DVD:1 at $36.29
$33.98+$36.29=
$70.27
6.75%*70.27=4.743225
round to the nearest tenth:
4.74
Andrian will pay 
<u>$4.74 as sales tax </u>
6 0
3 years ago
A box is being created out of a 15 inch by 10 inch sheet of metal. Equal-sized squares are cutout of the corners, then the sides
ivolga24 [154]

Answer:

Therefore the dimensions of the square should be 0.1528 inch by 0.1528 inch so, the box  has largest volume.

Step-by-step explanation:

Given that,

A box is being created out of a 15 inches by 10 inches sheet of metal.

The length of the one side of the squares which are cut out of the each corners of the metal sheet be x.

The length of the metal box be = (15-2x) inches.

The width of the metal box be =(10-2x) inches

The height of the metal box be =x inches

Then, the volume of the metal box= length×width×height

                                                         =(15-2x)(10-2x)x cubic inches

                                                         =(150x-50x²+4x³) cubic inches

∴ V= 4x³-50x²+15x

Differentiating with respect to x

V'=12x²-100x+15

Again differentiating with respect to x

V''=24x-100

For maximum or minimum value, V'=0

12x²-100x+15=0

Apply quadratic formula x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}, here a=12, b= -100 and c=15

x=\frac{-(-100)\pm\sqrt{(-100)^2-4.12.15}}{2.12}

\Rightarrow x=\frac{100\pm\sqrt{9280}}{2.12}

\Rightarrow x=0.1528,8.18

For x= 8.18, The value of (15-2x) and (10-2x) will negative.

∴x=0.1528 .

Now, V''|_{x=0.1528}=24(0.1528)-100

∴At x=0.1528 inch, the volume of the metal box will be maximum.

Therefore the dimensions of the square should be 0.1528 inch by 0.1528 inch so, the box  has largest volume.

4 0
3 years ago
Prove that Tan x + Cos x = 1 /Sin x .Cos x​
Anit [1.1K]

Answer:

tanx + cotx =  \frac{1}{sinxcosx}

Step-by-step explanation:

<u><em>Explanation</em></u>

Take R.H.S   = \frac{1}{sinxcosx}

            =      \frac{sin^{2}x+cos^{2}x  }{sinxcosx}

          =      \frac{sin^{2}x }{sinx cosx} + \frac{cos^{2} x}{sinxcosx}

        = \frac{sinx}{cosx} + \frac{cosx}{sinx}

        = tanx + cotx

tanx + cotx =  \frac{1}{sinxcosx}

             

5 0
3 years ago
Zane is putting the strings on 5 harps. Each harp has 48 strings.
krek1111 [17]
Zane needs 240 strings
5 0
3 years ago
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