solve for x. Round to the nearesr tenth of a degree if necessary.

C. complementary angles

Step-by-step explanation:

two angles are called complementary when their measures add to 90 degrees

Step-by-step explanation:

From the question given above, the following data were obtained:

f(x) = x³ – 6x² – 11x + k

Factor => x + 2

Next, we shall obtained the value of x from x + 2. This can be obtained as follow:

x + 2 = 0

Collect like terms

x = 0 – 2

Finally, we shall determine the the value of k. This can be obtained as  illustrated below:

f(x) = x³ – 6x² – 11x + k

x = –2

f(–2) = 0 since x + 2 is a factor

x³ – 6x² – 11x + k = 0

(–2)³ – (–2)² – 11(–2) + k = 0

–8 – (4) + 22 + K = 0

–8 – 4 + 22 + K = 0

10 + k = 0

Collect like terms

k = 0 – 10

Therefore, the value of k is –10

Learn more: https://brainly.com/question/13587979

Answer:

AD=27

Step-by-step explanation:

Answer:

[tex]{ \tt{volume = \frac{4}{3} \pi {r}^{3} }} \\ 36\pi = \frac{4}{3} \pi \times {(2d)}^{3} \\ \frac{36 \times 3}{4} = 8 {d}^{3} \\ 27 = 8 {d}^{3} \\ {d}^{3} = \frac{27}{8} \\ diameter = 1.5 \: units[/tex]

Answer:

its easy dont worry

Step-by-step explanation:

Answer:

23°

Step-by-step explanation:

A complementary angle is 90°, so you can do 90°-67° =23°

Answer:

Hello my friend... The answer is 233/100

Step-by-step explanation:

I hope this helps my friend(つ✧ω✧)つ

Answer:

2 33/100 or 233/100

Step-by-step explanation:

divide 2.33 by 100 and you'll get an improper fraction of 233/100. Just turn it into a mixed fraction if that is what the question states (2 33/100)

Answer:

-x^2-10x-26

Step-by-step explanation:

f(x) = -x^2 – 1, and

g(x) = x + 5

f(g(x)) = Plug g(x) in for x in f(x)

        = -(x+5)^2 -1

        = -(x^2 +10x+25) -1

         = -x^2 -10x-25 -1

         =-x^2-10x-26

Answer:

18 m^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2)h  where b1 and b2 are the lengths of the bases and h is the height

A = 1/2 ( 5 + (6+1)) * 3

A = 1/2 ( 5+7)*3

    = 1/2 (12)3

     = 18

Answer:

B

Step-by-step explanation:

greater base = 6 + 1 = 7 m

Area = [(greater base + minor base) * height] / 2 = [(7+5) * 3]/2 =18 m^2

Step-by-step explanation:

75 is divisible by both 15 and 25

Answer:

yes both chances are 1/2 = equal

Step-by-step explanation:

Answer:

Following are solutions to the given question:

Step-by-step explanation:

First-test probability: [tex]\frac{3}{4}[/tex]

A person's chances of passing a second test are reduced if he fails the first test: [tex]\frac{1}{3}[/tex]

However, the chance of failing the first test is 1 in 4. As just a result, the probability of these events is low.

[tex]\to \frac{1}{4}\times \frac{1}{3}=\frac{1}{12}\\\\\to \frac{3}{4} + \frac{1}{12} = \frac{9+1}{12} = \frac{10}{12} = \frac{5}{6}[/tex]

One of the other.

Answer:

-x^2 +4

Step-by-step explanation:

f(x) = -x^2 – 1, and

g(x) = x + 5,

g(f(x)) = Plug f(x) in for x in g(x)

          =-x^2-1 +5

          =-x^2 +4

Answer:

x^²-x+6

Step-by-step explanation:

Just add

Answer:

Step-by-step explanation:

Answer:

See explanation

Question has been corrected

Step-by-step explanation:

Given:

3x² + 11x + 30

To factorise, multiply the coefficient of x² by 30

= 3 * 30

= 90

Find two numbers that have a product of 90 and a sum of 11

** There are no such two numbers, therefore the question can't be solved using factorization

Correcting the error in the question:

x² + 11x + 30

To factorise, multiply the coefficient of x² by 30

= 1 * 30

= 30

Find two numbers that have a product of 30 and a sum of 11

6 and 5

6 + 5 = 11

6 * 5 = 30

x² + 11x + 30

= x² + 6x + 5x + 30

= x(x + 6) + 5(x + 6)

= (x + 6) (x + 5)

Answer:

Independence and Exclusiveness are two topics which are important to probability and often confused. Discuss the difference between two events being independent and two events being mutually exclusive. Use examples to demonstrate the difference. Remember to explain as if you are talking to someone who knows nothing about the topic.

[my response: talk to them in formal language about the topic.]

Step-by-step explanation:

Step-by-step explanation:

a=7

=6a^2

=6×(7)^2

=6×49

=294

Answer:

Surface area of the cube = 294cm^2

Step-by-step explanation:

A cube has the same side lengths for every side

Surface area of one face is length * length

7 * 7 = 49cm^2

A cube has 6 faces

49 * 6 = 294cm^2

Answer:

See explanation

Step-by-step explanation:

The coordinate of ABCD is not given; So, I will solve using general coordinates (x,y).

First, ABCD is dilated by 1/3.

The rule is:

[tex](x,y) \to \frac{1}{3}(x,y)[/tex]

This gives

[tex](x,y) \to (\frac{x}{3},\frac{y}{3})[/tex]

Next, it is reflected across y-axis.

The rule is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex](\frac{x}{3},\frac{y}{3}) \to (-\frac{x}{3},\frac{y}{3})[/tex]

So, the complete transformation is:

[tex](x,y) \to (\frac{x}{3},\frac{y}{3}) \to (-\frac{x}{3},\frac{y}{3})[/tex]

Assume that:

[tex]A = (1,3)[/tex]

The transformation will be:

[tex]A' = (-\frac{1}{3},\frac{3}{3})[/tex]

[tex]A' = (-\frac{1}{3},1)[/tex]

Answer:

7/10

Step-by-step explanation:

½ of a cup of cheddar=½ x 1=½

⅕ of a cup of parmesan=⅕ x 1=⅕

all cheese used=½ + ⅕= 7/10

Answer:

A. The proportion of numbers in the population is equal to the mean of the sample proportions

Step-by-step explanation:

The relationship between the  mean [tex]\mu _{\overline p}[/tex], and standard deviation, [tex]\sigma _{\overline p}[/tex], of the sample proportion and the population proportion, p, are given as follows;

[tex]\mu _{\overline p}[/tex] = p

[tex]\sigma _{\overline p} = \sqrt{\dfrac{p \cdot (1 - p)}{n} } \times \sqrt{\dfrac{N - n}{N - 1} }[/tex]

Where;

N = The size of the population

n = The sample size

Therefore, the proportion of numbers in the population is equal to the mean of the sample proportions

Answer:

See the paragraph proof below.

Step-by-step explanation:

Quadrilateral JKLM is given as a parallelogram. By a theorem, opposite sides JK and LM are congruent (1). By the definition of parallelogram, opposite sides KJ and ML are parallel. By the theorem on alternate interior angles, angles KJL and MLJ are congruent (2). Segments JN and PL are given as congruent (3). Using the three statements of congruence labeled above (1), (2), and (3), we now prove that triangles JKN and LMP are congruent by SAS. Sides of the triangles KN and PM are congruent by CPCTC. Sides of quadrilateral KNMP are given as parallel. Therefore, quadrilateral KNMP is a parallelogram by the theorem: If two sides of a quadrilateral are both parallel and congruent, then the quadrilateral is a parallelogram.

Answer:

Option 1: Double the radius

Step-by-step explanation:

The formula for the volume of a cone is:

1/3[tex]\pi[/tex]r^2h

It squares the radius whereas it only multiplies by the height. Let's try both situations.

1. 1/3[tex]\pi[/tex](2)^2(1) --> 4/3

2. 1/3[tex]\pi[/tex](1)^2(2) --> 2/3

Option one is better.

Answer:

n = 70

Step-by-step explanation:

14 * x < 80

x = 6 won't work

14 * 6 = 84 which beyond the boundry.

14 * 5 = 70 which is less than 80 and is divisible by 14

14 * 3 = 42

70 does not have a 3 in it.

So the largest number that has 14 in it and is less than 80 is 70

Answer:

What is the index of the radical below? 4 radical 8

Answer:

8

Step-by-step explanation:

index is the root

square root would have an index of 2

Answer:

Estimation by inspection is better than trying to determine the line of best fit exactly

i) For a scatter plot : The use of estimation by inspection

ii) For a straight line graph : The exact determination method

Step-by-step explanation:

To create lines of best fit the estimation by inspection is better than trying to determine the line of best fit exactly .

This is because line of best fit only shows the trend of the data and in most cases it doesn't have to start from origin.

Scenarios :

i) For a scatter plot : The use of estimation by inspection

ii) For a straight line graph : The exact determination method