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4 years ago

Find the area of the figure. Use 3.14 for st, and round your answer to the nearest tenth.

Mathematics

2 answers:

inysia [295]4 years ago

5 0

Answer:

Option B.

Step-by-step explanation:

Area of the composite figure = Area of the rectangle- area of the semicircle removed

= (length × width) - $\frac{1}{2}(\pi )(r^{2} )$

Since diameter of the semicircle is the width of the rectangle.

So, radius of the semicircle = $\frac{3.8}{2}$

= (3.8 × 9.2) - $\frac{1}{2}(3.14)(\frac{3.8}{2})^{2}$

= 34.96 - 5.6677

= 29.2923

≈ 29.3 in²

Therefore, area of the given composite figure is 29.3 in².

Option B is the correct option.

Vedmedyk [2.9K]4 years ago

3 0

Answer:

Step-by-step explanation:

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erik [133]

Answer:

the answer is B

Step-by-step explanation

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2 years ago

Which graph represents the solution set of the system of inequalities?

Nimfa-mama [501]

Well first we need to change the format of the equations to slope-intercept, or y=mx+b.
So the first one (x + y < 1) will be changed to y < -x + 1.
The second one (2y ≥ x - 4) will be changed to y ≥ x/2 - 2.
Now we can analyze each graph.
In every single graph the first equation (y < -x + 1) is graphed correctly.
Now for the second equation, we can see that only the first and last graph correctly format to the equation.
Now for the shading:
The first equation shows us that y is less than -x +1, making the shading go under the dotted line. (to the left)
The second equation shows us that y is greater than or equal to x/2 - 2, making the shading go above the line. (also to the left)
Therefore, when we shade, the overlapping shading is correctly formatted in the first graph.
Hope this helped, comment any questions you have for me.

5 0

4 years ago

Solve for x showing all work. You will not get credit for your answer if you do not show your work. 4(x - 4) + 14 = 2(8 - 2x) +

solmaris [256]

4x-16+14=16-4x+6.
4x-16+14-16+4x-6=0(bring all values at one side)
4x+4x+14-16-16-6=0(arrange)
8x-24=0(solve)
8x=24(bring 8 on right hand side so x is alone)
X=24/8(solve)
X=3

6 0

3 years ago

in a right triangle the acute angles measure x+15 and 2x degrees what is the measure of the larger acute angle of the triangle

Akimi4 [234]

So, x+15 + 2x = 90 
Therefore 3x = 90 - 15 = 75 
and so x=25. 

So the smaller angles are x+15 = 40 degrees and 2x=50 degrees. 
So the larger one is 50 degrees.

5 0

3 years ago

Read 2 more answers

Sam walks from home to his school which is 0.75 miles away in 12 minutes. How fast was he walking?

SCORPION-xisa [38]

Answer:

v = 3.75 mph

Step-by-step explanation:

Constant speed motion

An object travels at a constant speed if the ratio of the distance traveled by the time taken is constant.

Expressed in a simple equation, we have:

$\displaystyle v=\frac{d}{t}$

Where

v = Speed of the object

d = Distance traveled

t = Time taken to travel d.

Sam walks from home to school for a distance of d=0.75 miles in t=12 minutes. To calculate the speed, we need to convert the time to hours.

t=12/60 = 0.2 hours. Now compute the speed:

$\displaystyle v=\frac{0.75\ mi}{0.2 \ h}$

v = 3.75 mph

6 0

3 years ago