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4 years ago

13

What is the length of line segment FE?

1 answer:

ZanzabumX [31]4 years ago

4 0

I just took the test. The answer is FE = 7.1 units

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Circle C has radius of 10 cm. Each of points B and D is on the midpoint of the radius. Find the area of the shaded region.

olya-2409 [2.1K]

Simple :)
Area of shaded part = are of 1/4 circle - area of both triangles.
Are of circle = pie r^2 so 100x3.14 = 314 cm2.
Area of triangle AOB= area of triangleDOE = bh/2= 5x10/2= 25 each
However, the traingles share a common area which is quad DOB(I)
Lets take traingle AOE, whose are is bh/2=10x10/2=50cm2.
50-area of triangle A(I)E= 50-(

7 0

3 years ago

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Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. Se

Slav-nsk [51]

Answer:

-0.6309

Step-by-step explanation:

Using the change of base formula,

Log 1/2 to base 3 = Log1/2 ÷ Log 3 = Log 0.5 ÷ Log 3

Log 0.5 = -0.3010

Log3 = 0.4771

Log 0.5 ÷ Log 3 = -0.3010 ÷ 0.4771 = -0.6309

5 0

4 years ago

F(1) = 4<br> f(x) = f(x-1) + 3<br> Find f(2)

tester [92]

f(2)= f(2-1)+3

f(2)=f(1)+3

4 0

2 years ago

A spinner has 8 equal-sized sections. Six of the sections are orange.

kvv77 [185]

Answer:

6 put of 8, 3/4, or 75%

Step-by-step explanation:

Hope this helps ! :) good luck

6 0

3 years ago

What is one of the solutions to the following system of equations?

Amanda [17]

Answer:

(8,-1)

Step-by-step explanation:

Given : $x^{2} +y^{2} =65$

$x+y=7$

To Find: solution of given system of equations.

Solution:

Equation a : $x^{2} +y^{2} =65$

Equation b : $x+y=7$

Substitute the value of y from equation b in equation a

y from equation b : y = 7-x

Now substitute value of y in equation a

Thus equation a becomes:

$x^{2} +(7-x)^{2} =65$

$x^{2} +49+x^{2}-14x =65$

$2x^{2} -14x =65-49$

$x^{2} -7x -8=0$

$x^{2} -8x+x -8=0$

$x(x-8)+1(x-8)=0$

$(x+1)(x-8)=0$

⇒ x= -1 and x = 8

Now substitute values of x in equation b to obtains values of y

⇒ $x+y=7$

for x = -1

⇒ $-1+y=7$

⇒ $y=7+1$

⇒ $y=8$

Thus (x,y)=(-1,8)

For x =8

⇒ $8+y=7$

⇒ $y=7-8$

⇒ $y=-1$

Thus (x,y)=(8,-1)

Hence Option A is the correct solution .

6 0

4 years ago

Read 2 more answers