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3 years ago

Need help i dont understand

Mathematics

2 answers:

Viefleur [7K]3 years ago

4 0

The area of the triangle on the right side is
Area = base*height/2
Area = 12*5/2
Area = 60/2
Area = 30 square inches

Multiply the area of the triangular base by the depth or height of the prism 15
Volume = (area of base)*(depth)
Volume = 30*15
Volume = 450 cubic inches

Answer: Choice D

Alona [7]3 years ago

4 0

Hello!

Two of these figures could create a rectangular prism when combined. Therefore, we can multiply the base by the height and divide it by two.

15(12)=180 (Base
180(5)=900

Now we divide by 2.

900/2=450

Therefore, our answer is D) 450 in³

I hope this helps!

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I need help plz 8th math

Lemur [1.5K]

Answer:

56°

Step-by-step explanation:

hii!

to solve this, we need to know that the angles of a triangle all add up to 180 degrees.

we are going to make an x equation here.

2x+3x+40=180

5x+40=180

-40 -40

5x=140

/5 /5

x=28

angle a is 2x, so the answer would be 28*2 which is 56°

hope this helped out :)

8 0

3 years ago

Read 2 more answers

A box with a square base and open top must have a volume of 296352 c m 3 . We wish to find the dimensions of the box that minimi

mestny [16]

Answer:

Base Length of 84cm
Height of 42 cm.

Step-by-step explanation:

Given a box with a square base and an open top which must have a volume of 296352 cubic centimetre. We want to minimize the amount of material used.

Step 1:

Let the side length of the base =x

Let the height of the box =h

Since the box has a square base

Volume, $V=x^2h=296352$

$h=\dfrac{296352}{x^2}$

Surface Area of the box = Base Area + Area of 4 sides

$A(x,h)=x^2+4xh\\$Substitute h=\dfrac{296352}{x^2}\\A(x)=x^2+4x\left(\dfrac{296352}{x^2}\right)\\A(x)=\dfrac{x^3+1185408}{x}$

Step 2: Find the derivative of A(x)

$If\:A(x)=\dfrac{x^3+1185408}{x}\\A'(x)=\dfrac{2x^3-1185408}{x^2}$

Step 3: Set A'(x)=0 and solve for x

$A'(x)=\dfrac{2x^3-1185408}{x^2}=0\\2x^3-1185408=0\\2x^3=1185408\\$Divide both sides by 2\\x^3=592704\\$Take the cube root of both sides\\x=\sqrt[3]{592704}\\x=84$

Step 4: Verify that x=84 is a minimum value

We use the second derivative test

$A''(x)=\dfrac{2x^3+2370816}{x^3}\\$When x=84$\\A''(x)=6$

Since the second derivative is positive at x=84, then it is a minimum point.

Recall:

$h=\dfrac{296352}{x^2}=\dfrac{296352}{84^2}=42$

Therefore, the dimensions that minimizes the box surface area are:

Base Length of 84cm
Height of 42 cm.

5 0

3 years ago

Convert 750ft to metre

Angelina_Jolie [31]

One meter is composed of approximately 3.28 feet. To convert a certain measure in feet to meter, divide the number by 3.28. From the given above, using dimensional analysis and the conversion factor,

(750 ft) x (1 m/ 3.28 ft) = 228.66 m

Thus, 750 ft is approximately 228.66 in meters.

6 0

3 years ago

Evaluate the expression below for x = 4 6 (x +7)

Drupady [299]

Answer:

D. 66

Step-by-step explanation:

6×(4+7)

6×11

=66

6 0

2 years ago