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LiRa [457]
3 years ago
10

Find the value of x in the triangle shown below 8 2

Mathematics
1 answer:
Anit [1.1K]3 years ago
3 0

Answer:

8.25

Step-by-step explanation:

(8x 8) + (2x2) = x ^2

64 + 4 = x2

x = √68

x = 8.25

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A circle is drawn within a square as shown.
Vinil7 [7]
<h3>Area of shaded region is 21.5 square centimeter</h3>

<em><u>Solution:</u></em>

The area of the shaded region is equal to the area of the square minus the area of the circle

<em><u> Find the area of the square</u></em>

Area\ of\ square = a^2

Where, "a" is the length of each side

From given figure in question,

a = 10 cm

Area\ of\ square = 10^2\\\\Area\ of\ square = 100\ cm^2

<em><u>Find the area of circle </u></em>

The area of the circle is given as:

Area\ of\ circle = \pi r^2

Where, "r" is the radius of circle

Diameter = 10 cm

r = \frac{diameter}{2}\\\\r = \frac{10}{2}\\\\r = 5

Thus,

Area\ of\ circle = 3.14 \times 5^2\\\\Area\ of\ circle = 3.14 \times 25\\\\Area\ of\ circle = 78.5\ cm^2

<em><u>Find the area of the shaded region</u></em>

Area of shaded Region = Area of Square - Area of Circle

Area of shaded Region = 100 - 78.5 = 21.5

Thus area of shaded region is 21.5 square centimeter

7 0
3 years ago
-2(3x+5y)=10 in slope intercept form
lesantik [10]

Answer:

The equation in the slope-intercept form is:

  • y = -3/5x - 1

Step-by-step explanation:

Given the equation

-2(3x+5y)=10

We know that the slope-intercept form of a line equation is

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Writing the equation in slope-intercept form

-2(3x+5y)=10

-6x -10y = 10

Add 6x to both sides

-6x -10y + 6x = 10 +  6x

-10y = 10 + 6x

Divide both sides by -10

-10y / -10 = (10 + 6x) / -10

y = -3/5x - 1

Thus, the equation in the slope-intercept form is:

  • y = -3/5x - 1
4 0
2 years ago
In the diagram of circle R, m FGH is 50. what is mFEH
garri49 [273]

<u>Options</u>

  • 130°
  • 230°
  • 260°
  • 310°

Answer:

(B)m\angle FEH=230^\circ

Step-by-step explanation:

We know that the External Angle = Half the Difference of the Two Arcs

Therefore:

Since FGH is the exterior angle and FEH and FH are the two arcs, then:

\dfrac12 (\angle FEH-\angle FH)=50^\circ\\\\\angle FEH- \angle FH=100^\circ

Also:

\angle FEH+ \angle FH=360^\circ

Adding the two equations, we have:

\angle FEH- \angle FH+(\angle FEH+ \angle FH)=360^\circ+100^\circ\\2\angle FEH=460^\circ\\$Divide both sides by 2\\Therefore\\m\angle FEH=230^\circ

5 0
3 years ago
Ariane borrows $200 on a 5 year loan she is charged 5% simple interest how much interest is she charged for 5 years what is the
ycow [4]

Answer:

Interest: $50 | Total: $250

Step-by-step explanation:

You are going to want to use the simple interest formula for this. The one below is modified for solving the interest earned.

I = Prt

<em>I = interest amount </em>

<em>P = principal amount </em>

<em>r = interest rate (decimal form) </em>

<em>t = time</em>

<em />

Now we can plug in the values into the equation:

I = 200(.05)(5)

I = 50

This means that Ariane is charged $50 worth of interest. She has to pay back $250 total dollars.

3 0
3 years ago
The cost of 2 cartons of milk is 2.50.<br> what is the unit price
8_murik_8 [283]

Answer:

$1.25

Step-by-step explanation:

5 0
2 years ago
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