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3 years ago

Find the length of the third side. If necessary, write in simplest radical form.

Mathematics

2 answers:

ZanzabumX [31]3 years ago

8 0

It’s the square root of 39

hammer [34]3 years ago

3 0

Answer:

square root of 39

Step-by-step explanation:

5^2+b^2=8^2

25+b^2=64

64-25=39

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Use the equation below to find v, if u = 18, a=6, and t =4. V=u+at

Anastaziya [24]

Answer:42

Step-by-step explanation:

V= 18 + 6(4)

V= 18 + 24

V= 42

7 0

3 years ago

Read 2 more answers

Simplify 4(х + 7) - 7х + 2. А. 11х + 9 В. 11х + 30 с. -3х + 9 D. -3х + 30

BartSMP [9]

Answer:

-3x+30

Step-by-step explanation:

$4\left(x+7\right)-7x+2$

Expand $4(x+7)= 4x+28$

$4x+28-7x+2$

Simplify $4x+28-7x+2$

$-3x+30$

7 0

3 years ago

Mental Math A typical tip in a restaurant is 15% of the total bill. If the bill is $110, what would the

Katarina [22]

Answer:

$16.50

Step-by-step explanation:

15/100*110

15/10*11

3/2*11

33/3

16.50

7 0

3 years ago

It’s all in the picture number 5!!!pleaseee help‼️‼️‼️‼️‼️‼️ASAP‼️‼️

Mariulka [41]

We know that m<JKL = m<JKM + m<MKL

Let's substitute the values from the picture into our equation above.

10x - 11 = 43 + 8x - 20

Combine like terms.

10x - 11 = 8x + 23

Subtract 8x from both sides and add 11 to both sides.

2x = 34

Divide both sides by 2

x = 17

m<MKL = 8x - 20 = 8(17) - 20 = 136 - 20 = 116 degrees.

m<JKL = 10x - 11 = 10(17) - 11 = 170 - 11 = 159 degrees.

7 0

3 years ago

A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of t

Makovka662 [10]

Answer:

132.233 ft2

Step-by-step explanation:

Let's call the width of the rectangle 'w' and the length 'x'. So the area of the semicircle is:

$A_1 = \pi*radius^2/2$

$A_1 = \pi*(w/2)^2/2$

$A_1 = \pi/8*w^2$

And the area of the rectangle is:

$A_2 = w*x$

If the perimeter of the window is 41 feet, we have:

$Perimeter = length + 2*width + \pi*radius$

$41 = x + 2*w + \pi*w/2$

$x = 41 - w(2 + \pi/2)$

Now, the equation for the total area of the window is:

$A = A_1 + A_2 = \pi/8*w^2 + w*x$

$A = \pi/8*w^2 + w*(41 - w(2 + \pi/2))$

$A = (\pi/8-2 - \pi/2)*w^2 + 41w = -3.1781w^2 + 41w$

To find the maximum area, we can find the x-coordinate of the vertex of the quadratic equation:

$x\_vertex = -b / 2a = -41 / (-3.1781*2) = 6.45$

So the width that gives us the maximum area of the window is 6.45 feet, and the area will be:

$A = -3.1781w^2 + 41w = -3.1781*(6.45)^2 + 41*6.45 = 132.233\ ft^2$

3 0

3 years ago