Rationalise the denominator

Answer:

4/11 or 36.3636%

Step-by-step explanation:

probability= number of favorable outcomes/ number of possible outcomes

The event containing vowels {O,A,I,I}

P(vowel)= 4/11

in percentage, 36.3636%

[tex]\bold{\huge{\green{\underline{ Solutions }}}}[/tex]

We have,

[tex]\sf{HM = 5 cm }[/tex]

The perimeter of square

[tex]\sf{ = 4 × side }[/tex]

[tex]\sf{ = 4 × 5 }[/tex]

[tex]\sf{ = 20 cm }[/tex]

Thus, The perimeter of square is 20 cm

Hence, Option C is correct .

We have,

[tex]\sf{MX = 3.5 cm }[/tex]

Here,

[tex]\sf{MX = MT/2}[/tex]

[tex]\sf{MT = 2 * 3.5 }[/tex]

[tex]\sf{MT = 7 cm}[/tex]

Thus, The MT is 7cm long

Hence, Option C is correct .

We have to find the measure of Angle MAT

From above

[tex]\sf{\angle{MAT = 90° }}[/tex]

Thus, Angle MAT is 90°

Hence, Option B is correct .

We know that,

Therefore,

[tex]\sf{\angle{MHA = }}{\sf{\angle{ MHT/2}}}[/tex]

[tex]\sf{\angle{MHA = 90°/2}}[/tex]

[tex]\sf{\angle {MHA = 45°}}[/tex]

Thus, Angle MHA is 45°

Hence, Option A is correct

Refer the above attachment for solution

Hence, Option A is correct

Both a and b

Hence, Option C is correct

In rhombus PALM,

Let O be the midpoint of Rhombus PALM

In ΔOLM, By using Angle sum property :-

[tex]\sf{35° + 90° + }{\sf{\angle{ OLM = 180°}}}[/tex]

[tex]\sf{\angle{OLM = 180° - 125°}}[/tex]

[tex]\sf{\angle{ OLM = 55° }}[/tex]

Now,

[tex]\sf{\angle{OLM = }}{\sf{\angle{OLA}}}[/tex]

Therefore,

[tex]\sf{\angle{ PLA = 55° }}[/tex]

Thus, Angle PLA is 55° .

Hence, Option C is correct

Step-by-step explanation:

WYXV is quadrilateral.

the reason are the undefined angles at W and V (they are equal, but not necessarily 90°, so the shape could shrink or extend between W and V)

ABCD is a rectangle.

AB and CD are parallel and equally long. and C is 90°.

that means then that the other angles must be 90° too, or either the parallel or equally long criteria would be violated.

PQSR is a parallelogram.

PQ and RS are parallel and equally long.

that means that PR and QS must also be parallel and equally long. we just don't know the angles, they could be anything. and therefore this is not a rectangle but a more generic parallelogram.

14.55 out of 48.50 is 30%

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sum of exterior angles is 360° regardless the number of sides.

Each exterior angle of n-sided polygon is:

If no of sides be s

Measure of each exterior angle

Answer:

[tex](x + 2)[/tex] isn't a factor of the polynomial [tex]p(x) = x^{3} + 2\, x^{2} - x - 2[/tex].

Step-by-step explanation:

By the Factor Theorem, for any constant [tex]a[/tex], [tex](x - a)[/tex] would be a factor of a polynomial [tex]p(x)[/tex] if and only if [tex]x = a[/tex] is a root (a zero) of that polynomial ([tex]p(a) = 0[/tex].)

In other words, [tex](x - a)[/tex] is a factor of polynomial [tex]p(x)[/tex] if and only if replacing all mentions of [tex]x[/tex] in [tex]p(x)\![/tex] with the constant [tex]a[/tex] would yield [tex]0[/tex].

For example, in this question, [tex](x + 2)[/tex] could be rewritten as [tex](x - (-2))[/tex] (value of the constant is [tex]a = (-2)[/tex].)

By the Factor Theorem, [tex](x - (-2))[/tex] would be a factor of the polynomial [tex]p(x) = x^{3} + 2\, x^{2} - x - 2[/tex] if and only if replacing all mentions of [tex]x[/tex] in [tex]x^{3} + 2\, x^{2} - x - 2[/tex] with [tex](-2)[/tex] evaluates to [tex]0[/tex].

Replacing all mentions of [tex]x[/tex] in [tex]x^{3} + 2\, x^{2} - x - 2[/tex] with [tex](-2)[/tex] gives:

[tex](-2)^{3} + 2\, (-2)^{2} - (-2) - 2[/tex].

Simplify:

[tex]\begin{aligned}& (-2)^{3} + 2\, (-2)^{2} - (-2) - 2 \\ =\; & (-8) + 8 + 2 - 2 \\ =\; & 0\end{aligned}[/tex].

Since [tex]p(-2) = 0[/tex], [tex](x - (-2))[/tex] (or equivalently, [tex](x + 2)[/tex]) is indeed a factor of the polynomial [tex]p(x)[/tex].

Answer: you again…

It’s half the height times a + b

(Top length and bottom length)

Step-by-step explanation: there you go

Answer:

D. y, because ΔJHK ~ ΔLMK.

The triangle is tilted and has the same angle and sides.

ΔJHK matches with ΔLMK fully.

Answer:

the last one : y

Step-by-step explanation:

the angle KML means the angle at M.

JHK and LMK are similar triangles. that means that all angles in one triangle are the same in the other triangle.

one angle is 90°. the second angle is 65°.

that leaves the third angle to be y (or actually 25°).

Answer: There is one valid solution to the equation 5x + 8 - 7x = -4x + 1, x = -3.5.

Step-by-step explanation:

Answer:

n=15/2

Step-by-step explanation:

25+n(20)=175

n(20)=175-25

20n=150

n=150/20

n=15/2 ans...

[tex] = \sf \large \frac{ \sec A - 1}{ \sec \: A + 1 } [/tex]

[tex] = \sf \large \frac{ \frac{1}{ \cos A - 1} }{ \frac{1}{ \cos A + 1 } } [/tex]

[tex] \sf \large \: = \frac{ \frac{1 - \cos A }{ \green{ \cancel{ \cos A}} }}{ \frac{1 + \cos A }{ \green{\cancel{ \cos A} }} }[/tex]

[tex] \sf \large = \frac{1 - \cos A }{1 + \cos A } [/tex]

-,-

Answer:

x =  2 x = - 6

Step-by-step explanation:

2x^2 + 8x = 24

subtract 24 from both sides

(restar 24 de ambos lados)

2x^2 + 8x -24 = 0

find the common: 2

(encontrar lo común: 2)

2(x^2 + 4x - 12) = 0

2(x-2) (x+6) = 0

x = 2

x = - 6

Answer:

12x+16/4

Step-by-step explanation:

Answer: 3x + 4

You want to simplify the expression. So 1/4(4x + 12) + 1/2x + 1 + 3/2x simplified is 3x + 4.

Step-by-step explanation:

Hope this helps =)

Answer:

i > 3u

Step-by-step explanation:

Let's solve for i.

9x−7i<3(3x−7u)

Step 1: Add -9x to both sides.

−7i+9x+−9x<−21u+9x+−9x

−7i<−21u

Step 2: Divide both sides by -7.

−7i ÷ -7 = -21u ÷ -7

Answer

i>3u

Answer: 35.54

Step-by-step explanation:

Answer:

So B is different

Step-by-step explanation:

A=3

B=300

C=3

D=3

Answer:

I believe Henrey is wrong

Step-by-step explanation:

because the roots of the quadratic function are

"(x= 3/4, -2)."

Answer:

this might help

Step-by-step explanation:

Simplifying

2a + 4b + 6a + -3b = 0

Reorder the terms:

2a + 6a + 4b + -3b = 0

Combine like terms: 2a + 6a = 8a

8a + 4b + -3b = 0

Combine like terms: 4b + -3b = 1b

8a + 1b = 0

Solving

8a + 1b = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1b' to each side of the equation.

8a + 1b + -1b = 0 + -1b

Combine like terms: 1b + -1b = 0

8a + 0 = 0 + -1b

8a = 0 + -1b

Remove the zero:

8a = -1b

Divide each side by '8'.

a = -0.125b

Simplifying

a = -0.125b

Answer:

4

Step-by-step explanation:

Are yellow 1/7 in a percentage of 28=4

Answer:

4

Step-by-step explanation:

Since 1/7 of the 28 golf balls are yellow, we have to divide 28 by 7 to find out the precise number of balls.

28/7=4

Therefore, 4 of the golf balls are yellow.

Have a nice day! :)

Answer:

14 12 13 13 14 15 14 16 ,14 134444

Answer:

B or D

Step-by-step explanation:

if it is two die being rolled it's B. but if it's one die being rolled it's D.

Answer:

$5.75 per foot

Step-by-step explanation:

if 2 yards is 6 feet, 34.48 divided by 6 = 5.74666667 rounded to the nearest tenth is 5.75

hoooppe this helps <33333

Answer:

1 and 1/5

Step-by-step explanation:

if you add the numerator and leave the denominator you'll get that its basically just 6/5

Answer: 93.6 cubic inches

Step-by-step explanation:

Volume = lwh/2.

So V = (6 * 6 * 5.2)/2 = 93.6

3/5=12/x

reciprical of both sides

5/3=x/12

times twelve on both sides

x=20

Answer:

7.2 games, 2.4 times rate.

Step-by-step explanation:

Carla's team won 3 of 5 games which is 3/5 aka 60%.

Elena's team won games at the same rate which means Elena's team won about 7 games since it's 7.2/12 (60%). They won at the rate of 2.4 times while Carla wins at 3/5 rate.

Answer:

Step-by-step explanation: