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alekssr [168]
3 years ago
9

98.6568 rounded to the nearest whole number

Mathematics
1 answer:
Marizza181 [45]3 years ago
7 0

Answer:99

Step-by-step explanation:

Because the decimal in the tenth placeholder is greater than four you would round up.

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A certain triangle has a perimeter of 3084 mi. The shortest side measures 76 mi less than the middle side, and the longest side
kari74 [83]

shortest side: 851

middle side:927

longest side : 1306

Explanation

Step 1

Let

x represents the shortest side

y represents the middle side

z represents the longest side

so, set the equations

a) the perimeter of a rectangle is the sum of the sides, so

\begin{gathered} \text{Perimeter= side1+side2+side3} \\ replace \\ 3084=x+y+z \\ x+y+z=3084\Rightarrow\text{ Equation(1)} \end{gathered}

b) The shortest side measures 76 mi less than the middle​ side( in other words, you have to subtract 76 from middle side to get the shortest side)

x=y-76\Rightarrow equation(2)

c) and the longest side measures 379 mi more than the middle side,( in other words, you have to add 379 to middle side to obtain the longest side)

z=y+379\Rightarrow equation(3)

Step 2

solve the equations

a) now, replace the x an z value sfrom equation (2) and (3) into equation(1)

\begin{gathered} x+y+z=3084\Rightarrow\text{ Equation(1)} \\ (y-76)+y+(y+379)=3084 \\ -76+3y+379=3084 \\ 303+3y=3084 \\ 3y=3084-303 \\  \\ 3y=2781 \\ \text{divide both sides by 3} \\ \frac{3y}{3}=\frac{2781}{3} \\ y=927 \end{gathered}

now, replace the y value in equatino (2) to find x

b)

\begin{gathered} x=y-76\Rightarrow equation(2) \\ x=927-76 \\ x=851 \end{gathered}

c) finally, prelace x and y value in equation (1) to find z

\begin{gathered} x+y+z=3084\Rightarrow\text{ Equation(1)} \\ 851+927+z=3084 \\ \text{add like terms} \\ 1778+z=3084 \\ \text{subtract 1778 in both sides} \\ 1778+z-1778=3084-1778 \\ z=1306 \end{gathered}

so

shortest side: 851

middle side:927

longest side : 1306

I hope this helps you

4 0
1 year ago
A triangle is removed from the rectangle. Find the area of the remaining figure.
Mariulka [41]

Answer

C) 160 in^2


Step by step explanation

First, let's find the area of the rectangle.

Area of a rectangle = length x width

The area of the rectangle = 20 * 10

= 200 in^2

Now let's find the area of the triangle that is removed.

Area of a triangle = 1/2 base * height.

Here base = 10 and height = 8. Plug in these values into the formula, we get

Area of the triangle = 1/2 * 10*8

= 5* 8

The area of the triangle = 40 in^2

The area of the remaining figure = Area of the rectangle - area of the triangle

=  200 - 40

= 160 in^2

The answer is "160 in^2"

Thank you.

5 0
3 years ago
Avery works on commission as a car saleswomen.she sold a car today that cost 8,000$ and received a 400$ commission.What percent
Phantasy [73]
800 is 10% of 8,000. So half of 800 is 400. That makes the percent of her sale that is Avery's commision is 5%. 
4 0
3 years ago
A youth group is setting up camp. Rain is predicted, so the campers decide to build a fly, or rain cover, over their tent. The f
pshichka [43]
The image for this is attached for reference. This problem can be used by the Pythagorean equation.  To make solving convenient, let us see only one part of the tent. Hence, one side is half of the tend width which is 16/2ft. Height is 12 ft. The unknown side is the hypotenuse. The answer is: 
a^{2} + b^{2}  = c^{2}    8^{2} + 12^{2}  = c^{2}   c = 14.4

7 0
3 years ago
The area of a triangle is 56.4cm and the base is 12cm.What is the height of the triangle?
ale4655 [162]

area of a triangle = 1/2 base x height

56.4 = 1/2 x 12 x height

56.4 = 6 x height

height = 56.4 /6 = 9.4cm


7 0
4 years ago
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