All categories

3 years ago

Find the Surface area AND Volume of the figure. Round to the nearest hundredths.

Mathematics

1 answer:

qwelly [4]3 years ago

4 0

Answer:

SA= 902.88 yd²

V = 1386.24 yd³

Step-by-step explanation:

Surface area

Since the bases are right triangles, you need to find the base of the triangle. Use Pythagorean theorem as you are given the hypotenuse and one leg.

19² = 15.2² + b²

361 = 231.04 + b²

Subtract 231.04 from both sides

b² = 129.96

Root that

b = 11.4

Now that you have the base, find the areas of the triangles and rectangles.

Triangles - (15.2*11.4)1/2 (2)

15.2*11.4 = 173.28

Rectangles - (15.2)(16) = 243.2

(16)(11.4) = 182.4

(16)(19) = 304

Add them all together and the SA equals 902.88 yd²

Volume

V = Bh

V = 1/2(15.2)(11.4)(16)

V = 1/2 (2772.48)

V = 1386.24 yd³

You might be interested in

. Which numbers are all divisible by 5?

Lisa [10]

I think that the answer is #2.

6 0

4 years ago

Read 2 more answers

Without solving, determine whether the solution of x = 21 is greater than or less than 21. Explain.

astraxan [27]

Answer:

Without solving, the solution is greater than 21. The can be proven because a fraction of x is equal to 21, therefore x cannot be less than 21.

Step-by-step explanation:

7 0

3 years ago

How many solution does this have and how do you solve it

Vadim26 [7]

Answer:

Infinite solutions

Step-by-step explanation:

To determine the number of solutions a system has, you need its slope. If the slopes are the same, check if the equations are equivalent or not.

To find the slope, rearrange the equation to isolate "y", which makes it slope-intercept form y = mx + b.

"x" and "y" represent points on the line.

"m" represents the slope, which is how steep a line is.

"b" represents the y-intercept (where the graph hits the y-axis).

Isolate "y" in both equations:

x + 3y = 0

3y = -x Subtract 'x' from both sides

y = -x/3 Divide both sides by 3.

y = $-\frac{1}{3}x$

The slope is -1/3.

9y = -3x

y = -3x/9 Divide both sides by 9

y = $-\frac{3}{9}x$ Reduce the fraction to lowest terms

y = $-\frac{1}{3}x$

The slope is -1/3, but the two equations are the same.

Since the equations are the same, or equivalent, the two lines are always touching. The solution of a system means where two lines intersect, or meet. Therefore, there are infinite solutions.

5 0

3 years ago

Can anyone factor this?? I'm a little lost tysm!!!! 5x^2+12x+4 5x 2 +12x+4

Sergio039 [100]

For a polynomial of the form ax^2+bx+c rewrite the middle term as a sum of two terms whose product is a⋅c=5⋅4=20 and whose sum is b=12.

Factor 12 out of 12x.

5x^2+12(x)+4

Rewrite 12 as 2 plus 10

5x^2+(2+10)x+4

Apply the distributive property.

5x^2+2x+10x+4

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

(5x^2+2x)+10x+4

Factor out the greatest common factor (GCF) from each group.

x(5x+2)+2(5x+2)

Factor the polynomial by factoring out the greatest common factor, 5x+25x+2.

(5x+2)(x+2)

6 0

3 years ago

Please help with this math question

nika2105 [10]

263.27 m^2

rectangle : 15 x 10 = 150 m^2
the half circle at the top has a diameter of 6m. therefore, it’s radius is 3m. if it is cut in half, the part removed from the triangle height is 3m. therefore, the height of the triangle is 35 -15 = 20; 20 - 3 = 17. the height of the triangle is 17. the triangle area formula is a = 1/2(bh).
a = 1/2 (10)(17)
a = 1/2 (170)
a = 85 m^2
the circle would be a = πr^2 but divided by 2 bc it’s a half circle
a = π(3)^2
a = π9
a = 28.27 m^2
150 + 85 + 28.27 = 263.27 m^2

3 0

3 years ago