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KonstantinChe [14]

2 years ago

15

URGENT!! Really need help on this test

2 answers:

daser333 [38]2 years ago

7 0

Answer:

38

Step-by-step explanation:

Since the triangles are congruent

guajiro [1.7K]2 years ago

3 0

Answer:

angle S is 38 this is right answer

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Let f(x)=-2-7 and g(x)= -4x+6. Find (f*g)(-5)

Masja [62]

If (-5) = x then the anwser should be
-234

5 0

3 years ago

How to solve -2(x+3)=8

Shtirlitz [24]

-2(x + 3) = 8

Multiply -2 with x and 3

-2x -6 = 8

Now add 6 to both sides

-2x -6 = 8
+6 +8

-2x = 16

Lastly divide -2 from both sides to find x

-2x = 16
—— —-
-2x -2x

X = -8

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2 years ago

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A manufacturer wants to make open tin boxes from pieces of tin with dimensions 8 in. by 15 in. by cutting equal squares from the

Stells [14]

Answer:

$\frac{5}{3}$ in

Step-by-step explanation:

Let x be the side of square.

Length of box=8-2x

Width of box=15-2x

Height of box=x

Volume of box= $L\times B\times H$

Substitute the values then we get

Volume of box=V(x)= $(8-2x)(15-2x)x=(15x-2x^2)(8-2x)$

$V(x)=120x-30x^2-16x^2+4x^3$

$V(x)=4x^3-46x^2+120x$

Differentiate w.r.t x

$V'(x)=12x^2-92x+120$

$V'(x)=0$

$12x^2-92x+120=0$

$3x^2-23x+30=0$

$3x^2-18x-5x+30=0$

$3x(x-6)-5(x-6)=0$

$(x-6)(3x-5)=0$

$x-6=0\implies x=6$

$3x-5=0\implies x=\frac{5}{3}$

Again differentiate w.r.t x

$V''(x)=24x-92$

Substitute x=6

$V''(6)=24(6)-92=52>0$

Substitute x=5/3

$V''(5/3)=24(5/3)-92=-52$

Hence, the volume is maximum at x= $\frac{5}{3}$

Therefore, the side of the square , $x=\frac{5}{3}$ in cutout that gives the box the largest possible volume.

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3 years ago

©<br> As an estimation we are told 5 miles is 8 km.<br> Convert 62.5 miles to km.

Gelneren [198K]

Answer:

100.584 KILOMETERS

Step-by-step explanation: cause i know it ❤

hope you get it right! love ya stranger

7 0

3 years ago

Rewrite as a logarithmic equation. <br>7^0=1

RUDIKE [14]

Convert the exponential equation to a logarithmic equation using the logarithm base ( 7 ) 7 of the right side ( 1 ) 1 equals the exponent ( 0 ) 0 . log 7 ( 1 ) = 0

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3 years ago