Find the area of the semicircle. Round to the nearest hundredth if necessary.

Step-by-step explanation:

The given quadratic equation is :

[tex]13x^2 +1 = -10x\\\\or\\\\13x^2+10x+1=0[/tex]

The formula to solve a quadratic equation is :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Put a = 13, b = 10 and c = 1

So,

[tex]x=\dfrac{-10\pm \sqrt{10^2-4(13)(1)} }{2(13)}\\\\x=-0.118, -0.651[/tex]

Hence, this is the required solution.

Answer:

the answer is seven point seven

Answer:

2's volume is 93 3/4 and 3's volume is 40

Step-by-step explanation:

Just use the formula to find volume, length x width x height. For 2, it would be 5x5x3 3/4 to give you a product of 93 3/4. For 3, it would be 3x2x6 2/3 which equals 40.

I hope this helps!

Answer:

The answer is 3/52

Step-by-step explanation:

Answer:

g = 10

f = 21

Step-by-step explanation:

Given equations:

24 = g + 14

f - 9 = 12​

24 = g + 14

Subtract 14 from both sides

24 - 14 = g + 14 - 14

10 = g

g = 10

Check:

24 = g + 14

24 = 10 + 14

24 = 24

f - 9 = 12​

Add 9 to both sides

f - 9 + 9 = 12​ + 9

f = 21

Check:

f - 9 = 12​

21 - 9 = 12

True

Sorry if I'm wrong! I honestly think its true, a fluid ounce is pretty big... 2 tablespoons, so if you half it its 1 tablespoon, which is enough for cookies

Answer:

[tex] \red{ \bold{\frac{2x(x - 1) + 3(2x - 3)}{(2x + 3)(2x - 3)(x - 1)} }}[/tex]

Step-by-step explanation:

[tex] \frac{2x}{4 {x}^{2} - 9 } + \frac{3}{2 {x}^{2} + x - 3} \\ \\ = \frac{2x}{(2 {x})^{2} - {(3)}^{2} } + \frac{3}{2 {x}^{2} - 2x + 3x - 3} \\ \\ = \frac{2x}{(2x + 3)(2x - 3)} + \frac{3}{2 {x}(x - 1) + 3(x - 1)} \\ \\ = \frac{2x}{(2x + 3)(2x - 3)} + \frac{3}{(x - 1) (2x + 3)} \\ \\ = \frac{2x(x - 1)}{(2x + 3)(2x - 3)(x - 1)} + \frac{3(2x - 3)}{(x - 1) (2x + 3)(2x - 3)} \\ \\ \purple{ \bold{ = \frac{2x(x - 1) + 3(2x - 3)}{(2x + 3)(2x - 3)(x - 1)} }}[/tex]

Answer:

divide b by 2 and square it to get c:

-20/2 = -10

[tex](-10)^2 = 100[/tex]

second part: (x - 10)(x - 10) or [tex](x-10)^2[/tex]

Answer:

x (x-20)

Step by step

Answer:

C) The figures are congruent.

Step-by-step explanation:

Given

Translation and rotation on a figure

Required

Select the true option

Rotation and translation are rigid transformation and as such they do not change the size of the figure being transformed.

The implies that, the figure being transformed and the resulting figure will have the same dimension and the same angle measure.

(c) is correct

Answer:

c

Step-by-step explanation:

Answer:

where is the scale

Step-by-step explanation:

where is the scale

Answer:

What does the scale look like?

Answer: 3/5

Step-by-step explanation:6/10 6 divide by 2 and 10 divide by 2

hoped this helped:)

Answer:

[tex] \frac{3}{5} [/tex]

Step-by-step explanation:

[tex] \frac{6}{10} \div \frac{2}{2} [/tex]=

[tex] \frac{3}{5} [/tex] ....

Answer:

1st, 4th and 5th are in arithmetic sequence.

Answer:

a) 1,2,3,4,5,6............

d) 3,0, -3 ,-6,-9,-12.............

e) 6,5,4,3,2,1...........

are arithmetic sequence

Step-by-step explanation:

Arithmetic sequence is series of numbers that the difference of consecutive terms is constant

a) 1, 2 , 3 , 4 , 5 , 6...........

Common difference = 1

d) 3,0, -3 ,-6,-9,-12.............

Common difference = second term - first term

                                  = 0 - 3 = -3

e) 6,5,4,3,2,1...........

Common difference = 5 - 6 = - 1

Answer:

17) [tex]6a^{3}b^{2}[/tex]

18) [tex]40m^{4} n^{10}[/tex]

19) 14x³y²

20) [tex]9x^{2} y^{6}[/tex]π

Step-by-step explanation:

17)

Area of triangle = 1/2*b*h

A = 1/2(4a²b)(3ab)

A = 6(a³b²)

18)

A = 1/2(4mn⁵)(20m³n⁵)

A = (40)(m⁴n¹⁰)

19)

A = 2 (1/2)(2xy)(3x²y)

A = (6x³y²) + (4x²y*2xy)

A = 6x³y² + 8x³y²

A = 14x³y²

20)

A = (3xy³)²

A = 3² x² (y³)²

Answer:

the answer would be false

Answer:

add up to 90 degree

Step-by-step explanation:

Answer:

(B) 0.0864

Step-by-step explanation:

Correct on Edge

Answer:

Step-by-step explanation:

4(3x-5)^2+5=13

4(3x-5)^2+5-13=0

As  (a-b)^2=a^2-2ab+b^2

4((3x)^2-2(3x)(5)+(5)^2)-8=0

4(9x^2-30x+25)-8=0

36x^2-120x+100-8=0

36x^2-120x+92=0

using the Quadratic Formula where

a = 36, b = -120, and c = 92

x=(−bc± sqrt(b^2-4ac))/2a

x=(-(-120)±sqrt((−120)^2−4(36)(92))/2(36)

=120±sqrt(14400−13248−)/72

=120±sqrt(1152)/72

The discriminant b2−4ac>0

so, there are two real roots.

x=(120±24sqrt(2))/72

x=(120/72)±24sqrt(2)/72

implify fractions and/or signs:

x=5/3±sqrt(2)/3

hich becomes

x=2.13807

x=1.19526

Answer:

The first thing we need to do is to find the area bounded by:

y = x^3

y = 0

between:

x = 0 and x = 2

This is the integral of the given function between x = 0 and x = 2, written as:

[tex]\int\limits^2_0 {x^3} \, dx = \frac{2^4}{4} - \frac{0^4}{4} = 2^2 = 4[/tex]

This means that the area of the bounded region is 4 square units.

Now, if we do a full rotation around the x-axis, the volume generated will be equal to the area that we obtained times 2*pi units.

The volume is:

V = (4 square units)*(2*pi units) = 8*pi cubic units.

(Notice that no option coincides with this, there may be a mistake in the options)

Answer:

Slope

Step-by-step explanation:

Hope it helps you in your learning process

Answer:

4+

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

The requried dimensions of the rectangle are 10 by 4. Option B is correct.

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

Here,
To solve the problem, we can use the formula for the area of a rectangle, which is:

area = length x width

We also know that the length is 6 units greater than the width, which we can express as:

length = width + 6

We can substitute this expression for length into the formula for area, giving us:

area = (width + 6) x width

area = width² + 6width

We are given that the area is 40 square units, so we can set up the equation:

40 = width² + 6width

We can rearrange this equation into the standard quadratic form:

width² + 6width - 40 = 0

We can then use the quadratic formula to solve for the width:

width = (-b ± √(b² - 4ac)) / 2a

Plugging in the values of a, b, and c from the quadratic equation above, we get:

width = (-6 ± √(6² - 4(1)(-40))) / 2(1)

width = (-6 ± √(196)) / 2

width = (-6 ± 14) / 2

So we have two possible values for the width:

width = (-6 + 14) / 2 = 4

or

width = (-6 - 14) / 2 = -10

Since the width cannot be negative, we can reject the second solution. Therefore, the width of the rectangle is 5 units.

We can use the expression for the length in terms of the width to find the length:

length = width + 6 = 4 + 6 = 10

Therefore, the dimensions of the rectangle are 10 by 4.

Learn more about rectangles here:

brainly.com/question/15019502

#SPJ7

Answer:

A=3

B=-9

C=4

Hope this helps ^^

Answer:

[tex]A=227.84\ inch^2[/tex]

Step-by-step explanation:

Given that,

The diameter of the cylinder, d = 5 inch

Hight, h = 12 m

Radius, r = d/2 = 2.5 m

We need to find the surface area of the cylinder. The formula for the surface area of the cylinder is given by :

[tex]A=2\pi rh+2\pi r^2\\\\A=2\times \dfrac{22}{7} \times 2.5\times 12+2\pi \times 2.5^2\\\\A=227.84\ inch^2[/tex]

So, the lateral surface area of the cylinder is equal to [tex]227.84\ inch^2[/tex].

Answer:

Y=-55x + 600

Step-by-step explanation:

Answer:

do the floss

Step-by-step explanation:

Answer:  80 + 2L*L = 26*L

Step-by-step explanation:

Answer:

63 in.

Step-by-step explanation:

Answer:

There is 63 inches in 5 1/4 feet :)

Answer:

Step-by-step explanation:

For this you just plug in a = -4 into the function:

f(-4) = (-4)^2-2(-4)+1 = 25

25 should be the answer.

Answer:

25

Step-by-step explanation:

f(-4) = (-4)² - 2(-4) + 1

= 16 + 8 + 1

= 25