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3 years ago

Find the Area of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.

Mathematics

2 answers:

DIA [1.3K]3 years ago

6 0

Answer:

129.13

Step-by-step explanation:

Triangle:

8 × 13 = 104

Semi-circle:

3.14(4²) ÷ 2 = 25.1327

25.13 + 104 = 129.13

<em>good luck, i hope this helps :)</em>

Alik [6]3 years ago

4 0

Answer:

The area should be 104.

Step-by-step explanation:

Just multiply top by bottom.

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LK is tangent to circle J at point K. Circle J is shown. Line segment J K is a radius. Line segment K L is a tangent that inters

Evgen [1.6K]

Answer:

$(B)r=\dfrac{85}{12}$

Step-by-step explanation:

Given a circle centre J

Let the radius of the circle =r

LK is tangent to circle J at point K

From the diagram attached

LX=6
Radius, XJ=JK=r
LK=11

Theorem: The angle between a tangent and a radius is 90 degrees.

By the theorem above, Triangle JLK forms a right triangle with LJ as the hypotenuse.

Using Pythagoras Theorem:

$(6+r)^2=r^2+11^2\\(6+r)(6+r)=r^2+121\\36+6r+6r+r^2=r^2+121\\12r=121-36\\12r=85\\r=\dfrac{85}{12}$

The length of the radius, $r=\dfrac{85}{12}$

8 0

3 years ago

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Please help with this.<br> thanks sm!

velikii [3]

Answer:

x= 5cm

5 is the missing side

4 0

3 years ago

Help me on number problem 5 please

Aleksandr-060686 [28]

Answer:

x = 10

Step-by-step explanation:

If f(x) equals 3x-7 and also equals 23, then you can set 3x-7 equal to 23

3x - 7 = 23

3x = 30

x = 10

5 0

3 years ago

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A botanist collected data on the growth of sunflowers to maturity. She modeled the equation y = x + 1 2 for the line of best fit

nordsb [41]

Answer:

the answer is c as you see

Step-by-step explanation:

7 0

3 years ago

What is the value of h when the function is converted to vertex form?

Dmitrij [34]

Answer: The value of 'h' is 3.

Step-by-step explanation: Given that the vertex form of a function is given by

$g(x)=a(x-h)^2+k~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We are to find the value of 'h' when the following function is converted to the vertex form.

$g(x)=x^2-6x+14~~~~~~~~~~~~~~~~~~~~~~(ii)$

From equation (ii), we have

$g(x)=x^2-6x+14\\\\\Rightarrow g(x)=x^2-2\times x\times 3+3^2-3^2+14\\\\\Rightarrow g(x)=(x-3)^2-9+14\\\\\Rightarrow G(x)=(x-3)^2+5.$

Comparing it with the vertex form (i), we get

$h=3.$

Thus, the value of 'h' is 3.

4 0

3 years ago