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Julli [10]
3 years ago
6

What is the area of the following figures Important, thank youuuuu!!

Mathematics
2 answers:
12345 [234]3 years ago
6 0

Answer:

49.12 cm²

Step-by-step explanation:

A = b×h/2 + πr²/2

= 8×6/2 + 3.14×16/2

= 24 + 25.12

= 49.12 cm²

Natasha_Volkova [10]3 years ago
4 0

Answer:

Exact area = 24+8pi  square cm

Approximate area = 49.1327412287183 square cm

================================================================

Explanation:

The semicircle portion has area of 0.5*pi*r^2 = 0.5*pi*4^2 = 8pi

The largest triangle has an area of 0.5*b*h = 0.5*8*6 = 24

The total exact area is therefore 24+8pi and this is approximately equal to 49.1327412287183 after using a calculator.

You might be interested in
1. The prism below measures 6 inches x 3 inches x 10 inches. A diagonal
12345 [234]

9514 1404 393

Answer:

  √145 ≈ 12.04

Step-by-step explanation:

The length of the space diagonal is the root of the sum of the squares of the prism edge lengths:

  d² = a² +b² +c² = 6² +3² +10² = 145

  d = √145 ≈ 12.04 . . . inches

__

The face diagonal is found using the Pythagorean theorem in the usual way:

  f² = a² + b²

The space diagonal is the hypotenuse of the right triangle whose sides are the face diagonal and the remaining edge:

  d² = f² +c²

  d² = a² +b² +c²

__

Here is a diagram.

3 0
3 years ago
Adjust the equation so the line passes through the points. Y=x+1
lapo4ka [179]

Answer:

Slope=  

2.000

2.000

​  

=1.000

x−intercept=  

−1

1

​  

=−1.00000

y−intercept=  

1

1

​  

=1.00000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(x+1)=0  

STEP

1

:

Equation of a Straight Line

1.1     Solve   y-x-1  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-x-1  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 1/1 so this line "cuts" the y axis at y= 1.00000

 y-intercept = 1/1  =  1.00000  

Calculate the X-Intercept :

When y = 0 the value of x is 1/-1 Our line therefore "cuts" the x axis at x=-1.00000

 x-intercept = 1/-1  = -1.00000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.000 and for x=2.000, the value of y is 3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.000 - 1.000 = 2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  2.000/2.000 =  1.000  

Geometric figure: Straight Line

1.  Slope = 2.000/2.000 = 1.000

2. x-intercept = 1/-1 = -1.00000

3.  y-intercept = 1/1 = 1.00000

3 0
3 years ago
If the units digit of the three-digit positive integer k is nonzero, what is the tens digit of k ?
Vanyuwa [196]

Answer:

  any digit 0 to 9

Step-by-step explanation:

Nothing about your description of the number suggests that the 10s digit depends on the units digit. The tens digit can be any digit 0 to 9.

8 0
3 years ago
Select the correct answer.
Crazy boy [7]

check the picture below.

now, if we split that triangle like so with that red line, we can use the right-triangle there, to get θ.


\bf tan(\theta )=\cfrac{\stackrel{opposite}{3}}{\stackrel{adjacent}{3}}\implies tan(\theta )=1\implies tan^{-1}(\theta )=tan^{-1}(1)\implies \measuredangle \theta =\cfrac{\pi }{4}

8 0
3 years ago
#31 <br> Write the expression as a single logarithm <br> Show each step please
Dmitrij [34]
This pic is the answer i believe

7 0
3 years ago
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