2. What is the area of the figure below. Simplify.

Answer:

[tex]x_{1}[/tex] = [tex]\frac{\pi }{6}[/tex] and [tex]x_{2}[/tex] = [tex]\frac{5\pi }{6}[/tex]

Step-by-step explanation:

Answer:

a³-9a

a³-9a

=a(a+3)(a-3)

Answer:

It takes 1/8 of an hour for the student to bike to school.

Step-by-step explanation:

We want to find 1/6 of 3/4, as that is how long it takes her to ride to school. When taking one fraction of another, we can multiply them. We can apply this to get

1/6 * 3/4 = 3/24 = 1/8.  This means that it takes 1/8 of an hour for the student to bike to school.

Answer:

ok ok ok ok ok ok ok

Step-by-step explanation:

Answer:

2.5 years

Step-by-step explanation:

The given amount invested, which is the principal, P = $16,800

The simple interest rate, R = 5% per annum

The intended total value of the investment, A = $18,900

The simple interest on the principal, I = A - P

∴ I = $18,900 - $16,800 = $2,100

The formula for the simple interest, I, is given as follows;

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

Therefore, we have;

[tex]T = \dfrac{I \times 100}{P \times R}[/tex]

Plugging in the values, gives;

[tex]T = \dfrac{2,100 \times 100}{16,800 \times 5} =2.5[/tex]

The time it will take the investment to grow to $18,900 is T = 2.5 years

Answer: A.Spreads: The weights of the tigers are more spread out.

B.Centers:The leopards have a lower median weight than the tigers

Step-by-step explanation:

On analyzing the dot plots, we find that the weight of Leopards are more spread out and the weight of Leopards has a lower median than Tiger.

Median is a statistical measure that determines the middle value of a dataset listed in ascending order. The measure divides the lower half from the higher half of the dataset.

Median of Weight of Leopard = 50 kg

Median of Weight of Tiger = 125 kg

This implies that the Leopards have a lower median weight than Tigers.

What is spread of data?

Spread describes the variation of the data. One of the measures of spread is range.

Range of weight of Leopards= 40 kg

Range of weight of Tigers = 90 kg

This implies that the weight of Tigers are more spread out.

Learn more about median here

brainly.com/question/21396105

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Solution given:

it is a right angled isosceles triangle

so

perpendicular [p]=base[b]=5

hypotenuse [h]=x

we have

by using Pythagoras law

p²+b²=h²

5²+5²=h²

50=h²

h=[tex]\sqrt{50}[/tex]

x=[tex]\bold{5\sqrt{2}}[/tex]

Answer:

3 to the power of 4 equals 81 times 3 equals 243

Step-by-step explanation:

Answer:

I wanna say its B. Vera's only

Answer:

She will need 41.22 meters.

Step-by-step explanation:

She knows that one leg of the triangle is 11 meters long and that the angle formed by that leg and the hypotenuse is 50 degrees .

The leg is adjacent to the hypothenuse. We know that the cosine of an angle [tex]\theta[/tex] is given by:

[tex]\cos{\theta} = \frac{l}{h}[/tex]

In which l is the length of the adjacent side and h is the hypothenuse.

Considering that we have [tex]\theta = 50, l = 11[/tex], we can find the hypothenuse.

Looking at a calculator, the cosine of 50 degrees is 0.6428.

So

[tex]0.6428 = \frac{11}{h}[/tex]

[tex]0.6428h = 11[/tex]

[tex]h = \frac{11}{0.6428}[/tex]

[tex]h = 17.11[/tex]

The other leg:

In a right triangle, with legs [tex]l_1[/tex] and [tex]l_2[/tex], and hypothenuse h, the pythagorean theorem states that:

[tex]l_1^2 + l_2^2 = h^2[/tex]

We already have one of the legs and the hypothenuse, so:

[tex]11^2 + l^2 = 17.11^2[/tex]

[tex]l^2 = 17.11^2 - 11^2[/tex]

[tex]l = \sqrt{17.11^2 - 11^2}[/tex]

[tex]l = 13.11[/tex]

How many meters will she need?

This is the perimeter of the garden, which is the sum of its dimensions, of 11 meters, 13.11 meters and 17.11 meters. So

[tex]P = 11 + 13.11 + 17.11 = 41.22[/tex]

She will need 41.22 meters.

Answer:

it's a transitive statement.

Similar to "If a is equal to b and b is equal to c, then a is equal to c."

a = b and b = c, then a = c

Step-by-step explanation:

Answer:

[tex]2x - 35273 = 5361925 \\ 2x = 5361925 + 35273 \\ 2x = 5397198 \\ x = \frac{5397198}{2} \\ x = 2698599[/tex]

[tex]\displaystyle\ 2x-35273=5361925\\\\2x=53\underline{61925}+\underline{35273} \\\\2x=5397198\\\\\\x=\frac{5397198}{2} =2698599\\\\\underline{x=2698599\qquad }\\\\2\cdot 2698599-35273=5361925\\\\5397198-35273=5361925\\\\5361925=5361925[/tex]

Answer:

Step-by-step explanation:

Set the equation and solve for x:

Correct choice is B

Respuesta:

5250

Explicación paso a paso:

Dado que :

Importe del préstamo, principal, p = 35000

Tasa de interés, r = 3% = 0.03

Tiempo, t = 5 años

Usando la fórmula de interés simple:

Interés = principal * tasa * tiempo

Interés = 35000 * 0.03 * 5

Intereses = 5250 pesos

Answer:

B

Step-by-step explanation:

Answer:

Verify x+y+z)=(x+y)+z for the following values of x,y,z

(i)x=3/4,y=5/6,z=-7/8(

ii)x=2/; 3,y=-5/6,z=-7/9(

iii)x=3/5,y=-6/9,z=2/10(

iv)x=; - 3/5, y = - 7/10, z = - 8/15 To Verify x+(y+z)=(x+y)+z (i)x=3/4,y=5/6,z=-7/8 LHS = 3/4 + (5/6 + (-7/8)) = (3/4) + (5/6 -7/8)= (3/4) + ((20-21)/24) = 3/4 - 1/24 =(18-1)/24 = 17/24

RHS = (3/4 + 5/6) + (-7/8)= (9 + 10)/12 - 7/8 = 19/12-7/8 = (38-21)/24 = 17/24

LHS = RHS = 17/24 (ii) * x = 2/3, y = - 5/6, z = - 7/9 LHS = 2/3 + (-5/6+ (-7/9) = 2/3 + (-5/6 - 7/9) = 2/3 + (-29/18) = 2/3 - 29/18

= 12/18 - 29/18 = -17/18

RHS = (2/3 + (-5/6))+(-7/9) = (2/3 - 5/6) - 7/9 = (-1/6) - 7/9 = -1/6 - 7/9 = -3/18 - 14/18 =

-17/18

LHS = RHS....

Hence verified..

Step-by-step explanation:

hope it helps u no notebook

.???

Answer:

9

Step-by-step explanation:

First you would need to subtract all the irrelevant students.

So, subtract 4 from 36, which is 34.

34 - (10 + 15) =

34 - 25 =

9

The answer is 9 pupils.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is an even function (because it has an exponent that is an even number), and even functions have the end behavior of both tails going in the same direction. Because this is a positive even function, both of the tails are going up.

Answer:

the discount of the earbuds is $8.60

the final price is $34.40

Step-by-step explanation:

1. find 20% of 43:

43 x 0.2 = 8.60

2. subtract that from $43:

$43 - 8.60 = $34.40

the discount of the earbuds is $8.60

the final price is $34.40

Answer:

70 degrees

Step-by-step explanation:

Supplementary angles are angles that have a sum of 180. So if 110 is one angle, 70 must be the other to total 180:

110+ x = 180

x = 70

Answer:

70°

Step-by-step explanation:

The price of phone is stated, taking the price of the phone as p and the discount on sale as 20%

Answer:

0.848p

Step-by-step explanation:

Price of phone = p

Sales tax = 6%

Discount on sale = 20%

With a 20% discount, the discounted price of the phone will be :

100%p - 20%p = 80%p = 0.8p

The sales tax will increase the price thus ;

0.8p + 6% of 0.8p

0.8p + 0.06 * 0.8p

0.8p + 0.048p

The cost of the phone including tax becomes ; (0.8p + 0.048p) = 0.848p

Answer:

(0,6) and (3,1)

Step-by-step explanation:

The equation is already in slope intercept form.

y = mx + b

Since the y-intercept is '6', the first point would be (0, 6).

-----------------------------------

We can move three units to the right and 5 units down to get our second point, (3,1).

Note that slope is rise over run.

(0 + 3, 6 - 5) - > (3, 1).

The points would be (0,6) and (3,1). After plotting, you would draw a continuous line through them.

Hope this helps.

Answer:

(b) 30.25 feet

Step-by-step explanation:

Given

[tex]v = \sqrt{64h[/tex]

Required

Find [tex]h[/tex] when [tex]v = 44[/tex]

Substitute [tex]v = 44[/tex] in [tex]v = \sqrt{64h[/tex]

[tex]44 = \sqrt{64h[/tex]

Take square of both sides

[tex]44^2 = 64h[/tex]

[tex]1936 = 64h[/tex]

Divide both sides by 64

[tex]30.25 = h[/tex]

Rewrite as:

[tex]h = 30.25[/tex]

Answer:

Step-by-step explanation:

Thinking of this in terms of words, we are looking to solve the equation:

"The price Andre paid for the car is 65% of the original $7200 price" which in algebra-speak is

p = .65(7200) where p is the price Andre paid (our unknown), the word "is" indicates an equals sign, .65 is 65% as a decimal, the word "of" indicates multiplication, and the original price is...well, the original price.

Solving for p:

p = $4680

Answer:

A. ^3√5 is the answer.

Step-by-step explanation:

5^( 1 / 3 ) = ^3√5

Answer:

90°

Step-by-step explanation:

m∠x+m∠y+m∠z=180°

m∠x+m∠y+90=180

m∠x+m∠y=180-90=90°

Step-by-step explanation:

Step 1: The factors of -60 that add up to -11 are -15 and 4.

Step 2:

[tex]( 6{x}^{2} - 15x)( 4x - 10)[/tex]

Step 3:

[tex]3x(2x - 5) + 2(2x - 5)[/tex]

[tex](3x + 2)(2x - 5) [/tex]

Step-by-step explanation:

We know that the sum of angle around a point is 180° . Therefore let the first angle be x then second will be x + 3 .

According to the Question ,

> x + x + 3 = 360°

> 2x = 357=

> x = 357°/2

> x = 178.5°