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Mrrafil [7]
3 years ago
10

ROUND YOUR ANSWER TO THE NEAREST TENTH

Mathematics
1 answer:
Darya [45]3 years ago
4 0

Answer:

x = 16.5

Step-by-step explanation:

Use pythagorean theorem

a² + b² = c²

Plug in terms

7.1² + x² = 18²

Square each term

50.41 + x² = 324

Subtract a from c

x² = 273.59

Find square root

16.5

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-3y>x+6 I need help w this math problem
Andrei [34K]

Answer:

y< −x/3 −2

Step-by-step explanation:

I hope this is what you need if not let me know and ill edit the answer

6 0
3 years ago
Point T, the midpoint of segment RS, can be found using the formulas x = (6 – 2) + 2 and y = (4 – 6) + 6. What are the coordinat
SSSSS [86.1K]
X=(6-2)+2
X=4+2
X=6

y=(4-6)+6
y=-2+6
y=4

coordinates of point T are 6,4
3 0
3 years ago
Read 2 more answers
Find equations of the tangent lines to the curve
EastWind [94]
Procedure: derive the function y and equal the derivative to the slope of the line.

slope of x - 2y = 3.

y = x/2 - 3/2 => slope = 1/2

y' = [x-1] / [x+1] = [(x+1) - (x-1)] / (x+1)^2 = 2 / (x+1)^2

2 / (x+1)^2 = 1/2

(x+1)^2 = 4

x+1 = +/- 2

x = -1 + 2 and x =x = -1 -2

x = 1 and x = -3

Now find the y-coordinate of the function for both x-values

x = 1 => y = [1-1]/[1+1] = 0

x = -3 => y = [-3+1]/[-3-1] = -2 / -4 = -1/2

Now you find the equations of the tangent using the slope and the point.

(1,0) and slope 1/2 => y - 0 = [1/2] (x -1)

y = x/2 - 1/2

(-3, -1/2) and slope 1/2 => y - (-1/2) = [1/2] (x -(-3))

y + 1/2 = [1/2] (x+3)

y = x/2 + 3/2 - 1/2 = x/2 +1

The tangent lines of the function have these equations:

   y = x/2 - 1/2

   y = x/2 +1

7 0
3 years ago
Find the volume and surface area of this composite figure.
Mashcka [7]

Answer:

The total volume is 33.6 + 107.52 = 141.12

The total surface area is 52 + 22.4 + 76.8 + 26.88 = 178.08

Step-by-step explanation:

Top prism:

To find the volume of the top prism, multiply the area of the base by the height. This is 1/2 times width times height times length.

V =1/2 l*w*h =1/2* 3*2.8*8 = 33.6

To find the surface area of a prism, find the area of the triangular base and the area of each rectangular side.

Area of the base is A = 1/2 * b*h = 1/2 * 3 * 8 = 12. Since there are 2 bases, the area is 24.

Area of the rectangular side is A = b*h = 2.8*5 = 14. Since there are two, the area is 2*14 = 42.

The surface area of the prism is 24 + 28 = 52.

Bottom prism:

To find the volume of the bottom prism, multiply the width times the height times the length.

V = l*w*h = 8*2.8*4.8 = 107.52

To find the surface area of the bottom prism, find the area of the base and each side of the house.

A = 8*2.8 = 22.4

A = 8*4.8 = 38.4 which occurs twice so it has a total area of 76.8

A = 2.8*4.8 = 13.44 which occurs twice so it has an area of 26.88.

The total volume is 33.6 + 107.52 = 141.12

The total surface area is 52 + 22.4 + 76.8 + 26.88 = 178.08

4 0
3 years ago
I need help on this I'm not getting it
ANTONII [103]
In 5x+4y=-30, and 3x-9y=-18 both x and y have to be 
x=-6
y=0
3 0
3 years ago
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