Find the area of the shape below

Answer: (x + 12)(x + 18)

Step-by-step explanation: x² + 30x + 216​

                                              12 + 18 = 30

                                              12 x 18 = 216

                                              (x + 12)(x + 18)

Answer:

answer would be (x + 12)(x + 18).

Step-by-step explanation:

Let's factor x^2 + 30x + 216

x^2 + 30x + 216

Answer:

(x + 12) (x + 18)

Answer:

Use the formula r = d/t. Your rate is 24 miles divided by 2 hours, so: r = 24 miles ÷ 2 hours = 12 miles per hour. Now let's say you rode your bike at a rate of 10 miles per hour for 4 hours.

Step-by-step explanation:

Answer:

    x = ± √2 = ± 1.4142

Step-by-step explanation:

Answer:

The answer is A. 10

Step-by-step explanation:

The two angles are alternate interior angles so they are congruent. Since they are congruent, you can write it in an equation.

5x - 25 = 3x - 5

subtract 3x from each side

2x - 25 = -5

add 25 to each side

2x = 20

divide 2 from each side

x = 10

Also, if you want to check your answer, you can plug 10 back into the equation to see if they're equal.

The relation between the given angles is given by the alternate interior

angles theorem.

If lines p and q are parallel then the value of x is A. 10°

Reason:

The given parameters are;

Condition; Line p, and line q, are parallel.

The angles (3·x - 5)° and (5·x - 25)° are alternate interior angles.

According to alternate interior angles theorem, we have the alternate

angles are congruent, where line p, and line q are parallel.

Therefore;

(3·x - 5)° ≅ (5·x - 25)° By alternate interior angles

(3·x - 5)° = (5·x - 25)° By definition of congruency

Solving, we get;

(3·x - 5)° + 25° = (5·x - 25)° + 25°

3·x + 20° - 3·x = 5·x - 3·x = 2·x

20° = 2·x

[tex]x = \dfrac{20^{\circ}}{2} = 10^{\circ}[/tex]

The correct option is A. 10°

Learn more here:

https://brainly.com/question/18242590

Answer:

True

Step-by-step explanation:

True, because a polygon have all angles that are equal and all lengths are the same length.

Answer:

The true options are:

2) Has exactly one pair of parallel sides

4) Has exactly one pair of congruent sides

5) Both pairs of opposite sides are congruent

7) There are right angles at all 4 vertices

9) The diagonals are congruent

10) The diagonals bisect each other.

Answer: the 90th percentile for recovery times is 8.77 days.

Step-by-step explanation:

Let x be the random variable representing the recovery time of patients from a particular surgical procedure. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 5.7 days

σ = 2.4 days

The probability for the 90th percentile is 90/100 = 0.9

The z score corresponding to the probability value on the normal distribution table is 1.28

Therefore,

1.28 = (x - 5.7)/2.4

Cross multiplying, it becomes

1.28 × 2.4 = x - 5.7

3.072 = x - 5.7

x = 3.072 + 5.7 = 8.77 days

Answer:

Um where is the question

Step-by-step explanation:

Answer:

b. -1/3,1/2

Step-by-step explanation:

Answer:

b and d

Step-by-step explanation:

Answer:

Step-by-step explanation:

θ lies in 4th quadrant.

cos θ and sec θ are positive all other trigonometric ratios are negative.

sin θ/cos θ=-9/4

sin θ=-9/4 cos θ

we know sin² θ +cos ² θ =1

(-9/4 cos θ)²+cos ² θ =1

cos ²  θ (81/16+1)=1

cos ²θ((81+16)/16)=1

cos² θ=16/97

cos θ=4/√97

sin θ=-9/4*4/√97=-9/√97

sec θ=1/cos θ=√97/4

cosec θ=1/sin θ=-√97/9

cot θ=1/tan θ=-4/9

[tex]\ theta=tan^{-1}(-9/4) \approx 294 ^\circ[/tex]

Answer:

The root of -100 is 10i

Step-by-step explanation:

Ten I

Answer:

-2

Step-by-step explanation:

when x= 0

f(0)= 3*(0)² + 2*0 - 2

= 0 + 0-2

= -2

Begin by studying the pattern.

Here, notice that 1 × -3 is equal to -3.

-3 × -3 is equal to 9.

9 × -3 is equal to -27.

Continuing the same pattern, -27 × -3 is equal to 1.

So the next term in the pattern is 81.

So, we multiply by -3 each time.

Answer:

A

Step-by-step explanation:

the answer is a why do not ask

Answer:

1. The required information are

The average annual bonuses, [tex]\bar {x}_1[/tex] received by employees from company A

The average annual bonuses, [tex]\bar {x}_2[/tex] received by employees from company B

The standard deviation, σ₁, of the average annual bonuses for employees from company A

The standard deviation, σ₂, of the average annual bonuses for employees from company A

The number of employees in company A, n₁

The number of employees in company B, n₂

2. The null hypothesis is H₀: [tex]\bar {x}_1[/tex] - [tex]\bar {x}_2[/tex] ≤ 100

The alternative hypothesis is Hₐ: [tex]\bar {x}_1[/tex] - [tex]\bar {x}_2[/tex] > 100

Step-by-step explanation:

1. The required information are

The average annual bonuses, [tex]\bar {x}_1[/tex] received by employees from company A

The average annual bonuses, [tex]\bar {x}_2[/tex] received by employees from company B

The standard deviation, σ₁, of the average annual bonuses for employees from company A

The standard deviation, σ₂, of the average annual bonuses for employees from company A

The number of employees in company A, n₁

The number of employees in company B, n₂

2. The null hypothesis is H₀: [tex]\bar {x}_1[/tex] - [tex]\bar {x}_2[/tex] ≤ 100

The alternative hypothesis is Hₐ: [tex]\bar {x}_1[/tex] - [tex]\bar {x}_2[/tex] > 100

The z value for the hypothesis testing of the difference between two means is given as follows;

[tex]z=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\frac{\sigma_{1}^{2} }{n_{1}}-\frac{\sigma _{2}^{2}}{n_{2}}}}[/tex]

At 0.5 level of significance, the critical [tex]z_\alpha[/tex] = ± 0

The rejection region is z > [tex]z_\alpha[/tex] and z < -[tex]z_\alpha[/tex]

Therefore, the value of z obtained from the relation above more than or less than 0, we reject the null hypothesis, and we fail to reject the alternative hypothesis.

Answer:

x>-3

Step-by-step explanation:

Answer:

x > -3

Step-by-step explanation: First you have to  distribute the 10 to  3x +2 and 7 to 2x -4 . 10 times 3x + 2 is 30x + 20. 7 times 2x -4 is 14 x -28 .  Subtract 20 from both sides, which is  30x = 14x-48 , because -28 minus 20 is -48.  Subtract 14 x from both sides which is gonna be  16x >-48 , divide both sides by 16 which is x > -3.

Answer:

75 Flapjacks

Step-by-step explanation:

You must divide 120 by 600 in order to get your answer. As it says 120 margirine to make 15 flapjacks which is equal to one batch, you must then divide 600 by 120 and then multiply 5 by 15 to get 75. I hope this helped.

(brainliest?)

Answer:

-1 and 21

Step-by-step explanation:

Let the numbers be x and y.

x + y = 20

xy = -21

Solve the first equation for x and substitute in the second equation.

x = 20 - y

(20 - y)y = -21

20y - y^2 = -21

y^2 - 20y - 21 = 0

(y - 21)(y + 1) = 0

y - 21 = 0 or y + 1 = 0

y = 21 or y = -1

For y = 21:

x = 20 - y

x = 20 - 21

x = -1

For y = -1:

x = 20 - y

x = 20 - (-1)

x = 21

Solutions: (-1, 21) and (21, -1)

Answer: the numbers are -1 and 21

Answer:

The difference of squares is (a - b)(a + b) = a² - b². Since a = x and b = 2, the answer is x² - 4.

Answer: £186.89

Step-by-step explanation:

-We are given that each 5l  tin of paint costs £16.99 . We therefore divide the paint used by 5 and multiply by £16.99:

Hence, it will cost £186.89 to buy all the paint

Answer:

=£186.89

Step-by-step explanation:

A=1/2(a+b)h

a||b dimensions

A=1/2(16+10)×7.6

=98.8m²

Given that 1 litre of paint covers an area of 1.9 sq m, we divide the area of the trapezium by this and multiply by the price per liter to get total cost:

paint used= Area/paint m²

98.8/1.9

=52 litres

We are given that each 5l  tin of paint costs £16.99 . We therefore divide the paint used by 5 and multiply by £16.99

52/2

=10.4

11tins

cost=11×16.99

=£186.89

Answer:

PERIMETER = 41.73 units

Step-by-step explanation:

To find the perimeter of the triangle, we will follow the  steps below:

Let the coordinate of the triangle be ABC, that is

A(9,0)    B(-5,0)   and   C(-10,6)

We will first find distance AB, BC  and CA using the distance formula

|D| = √(x₂-x₁)² +(y₂-y₁)²

A(9,0)    B(-5,0)

x₁ =9  y₁=0    x₂=-5    y₂=0

substitute the values into the formula

|AB| = √(-5-9)² +(0-0)²

       = √(-14)² +(0)²

       =√196

        =14

|AB| = 14 units

B(-5,0)      C(-10,6)

x₁ =-5  y₁=0    x₂=-10    y₂=6

substitute the values into the formula

|BC| = √(-10+ 5)² +(6-0)²

         =√(-5)² +(6)²

         =√25 + 36

         =√61

         ≈7.81

|BC| ≈7.81 units

C(-10,6)     A(9,0)

x₁ =-10  y₁=6   x₂=9  y₂=0

substitute the values into the formula

|CA| = √(9+10)² +(0-6)²

         = √(19)² +(-6)²

         =√361 +36

        =√397

        ≈19.92 units

|CA|≈19.92 units

Perimeter of triangle = |AB|+|BC|+|CA|

                                  =14+7.81+19.92

                                  =41.73

PERIMETER = 41.73 units

Answer:

1. 15+63= 78 ft cubed

2. 5.5+33= 38.5 m cubed

Answer:

x≥ -1 or (-1, ∞)

Step-by-step explanation:

g is decreasing where the slope is negative so after max at -1 so x≥ -1

Answer:

D

Step-by-step explanation:

because one side surface area is 8x8=64, and there is 6 sides so 64x6 = 384 units2

Answer:

D. 384 units^2

Step-by-step explanation:

The surface area of a cube can be found using the following formula:

S=6s^2

where s is the side length.

In this case, the side length of the cube is 8 units.

s=8 units

Substitute 8 units in for s.

S=6*(8 units)^2

First, evaluate the exponent.

(8 units)^2=8 units * 8 units= 64 units^2

S=6* 64 units^2

Multiply 6 and 64

S=384 units^2

The surface area of the cube is 384 square units, therefore D. 384 units^2 is correct.

4500 increase it by 15%=675

4500+675=5175

Decrease 4% from 5175

4% of 5175=207

5175-207=4868

Answer=I think it’s b

Answer:

y = -2/13

Step-by-step explanation:

-5 + 13y = -7

Add 5 to each side

-5+5 + 13y = -7+5

13y = -2

Divide by 13

13y/13 = -2/13

y = -2/13

Answer: B. Jersey numbers are nominal data that are just replacements for​ names, so the resulting statistics are meaningless.

Step-by-step explanation:

Given the following list of data:

83 45 80 53 46 24 79 34 55 10 44

Range :

(Highest - Lowest) value

83 - 10 = 73

Sample Variance :

[Summation of (x - mean)^2] / number of observation - 1

Mean = (83+45+80+53+46+24+79+34+55+10+44) / 11

= 553 / 11 = 50.3

Check attached picture for computation of variance and standard deviation.

In football, jersey numbers do not imply any statistical relevance or importance

Answer:

x=14

Step-by-step explanation:

x+7=21

x=14

Answer:

3. Reflexive property of congruence

(since the statement states that a segment is congruent to itself)

4. SSS

(since 3 sides of one triangle are congruent to three sides of the other triangle)

Answer:

Option 1 earns more interest by $2396.13

Step-by-step explanation:

Step 1: Determine the prices

50000(1 + 0.05)^3 = 57881.30

50000(1 + 0.0035/12)^36 = 55527

Step 2: Determine which pays higher

Step 3: Find difference

57881.30 - 55527 = 2396.13

And we have our final answer!