Algebra Find the value of x.

The equation is a quadratic equation that is x + x² = 42. Then the correct option is A.

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

The sum of a number and its square is 42.

Let x be the number. Then the square of that number will be x².

Then we have

x + x² = 42

More about the Algebra link is given below.

https://brainly.com/question/953809

Answer:

a

Step-by-step explanation:

Answer:

1296 cm³

Step-by-step explanation:

Given

Solving

Answer:

1296 cm³

Original Rectangle:

height : H

volume : 162 cm³

New Rectangle:

height : 2H

volume : x   (let it be x)

Solve:

[tex]\rightarrow \sf (\dfrac{H}{2H})^3 = \dfrac{162}{x}[/tex]

[tex]\rightarrow \sf (\dfrac{1}{2})^3 = \dfrac{162}{x}[/tex]

[tex]\rightarrow \sf x = 1296[/tex]

Answer:

Carmen will pay $376.

Step-by-step explanation:

Multiply $940 by 40% because 100% - 60% = 40%:

(40%)(940) = 0.4 * 940 = $376

Answer:

[tex]63cm {}^{3} [/tex]

Step-by-step explanation:

the shape above is a cuboid and volume of a cuboid

= length x breath x height

=length=3cm

breath= 7cm

height= 3cm

volume= (3x7x3)cm =63 cm^3

Answer:

the answer is 6

Step-by-step explanation:

there are 6 side you times the 6 with the area of an equilateral triangle so the area of hexagon = 6

The complete factor of the polynomial expression is (x² + 9)(x – 1)(x + 1), then the correct option is B.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The expression is given as

x⁴ + 8x² – 9

Then by the factorization, we have

x⁴ + 8x² – 9

x⁴ + 9x² – x² – 9

x²(x² + 9) – 1(x² + 9)

(x² + 9)(x² – 1)

(x² + 9)(x – 1)(x + 1)

More about the factorization link is given below.

https://brainly.com/question/6810544

Answer:b

Step-by-step explanation:

on edg 2022

Using the slope concept, it is found that rhe blade's length is of 90 feet.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, the horizontal change is of 440 feet.

At the highest point, the angle is of 38º, hence:

[tex]\tan{38^\circ} = \frac{h_1}{440}[/tex]

[tex]h_1 = 440\tan{38^\circ}[/tex]

[tex]h_1 = 344[/tex]

At the lowetst point, the angle is of 30, hence:

[tex]\tan{30^\circ} = \frac{h_2}{440}[/tex]

[tex]h_2 = 440\tan{30^\circ}[/tex]

[tex]h_2 = 254[/tex]

Hence, the difference is:

[tex]h_2 - h_1 = 344 - 254 = 90[/tex]

The blade's length is of 90 feet.

More can be learned about the slope concept at https://brainly.com/question/18090623

Answer:

what you mean about circles but i do know probability

Step-by-step explanation:

conditional probability is a measure of the probability of an event occurring, given that another event has already occurred.

Answer:

∠a = 35°  ∠b = 65°

Step-by-step explanation:

a = 35 ° ( alternate interior angles )

( the line x is parallel to line yz hence we can consider XY as a transversal)

∠b + 35° + 80° = 180 ° ( angle sum property of triangle)

∠b+ 115° = 180°

∠b= 180 - 115

∠b = 65°

Answer: x ≈ 8.9 units

Step-by-step explanation:

     We can use trigonometric functions to help us solve this question.

[tex]\displaystyle sin(\theta)=\frac{\text{opposite side}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle sin(43)=\frac{x}{13}[/tex]

[tex]\displaystyle 13(sin(43))=x[/tex]

[tex]\displaystyle x= 13(sin(43))[/tex]

[tex]\displaystyle x= 8.86597868[/tex]

[tex]\displaystyle x \approx 8.9[/tex]

Answer:

It's 40

Step-by-step explanation: Fortunately for you I risked my test for you and ended up getting the correct answer of course^0^

Answer:

40

Step-by-step explanation:

it is 2 centimeters I hope that helps and I hope I'm not late

Answer:

D. 3

Step-by-step explanation:

Look at how many are less than 4cm (1) and how many are more than 10 (2) and add them together (1+2=3)

answer

their are 4 10.25 and 4 10.50 and 4 11.00 and 2 11.25 and

Step-by-step explanation:

ok so you just need to put those on the line plot

Answer:

36 m

Step-by-step explanation:

PT = x

This is True because of similar sides  [tex]\frac{8}{x} = \frac{7}{14}[/tex]

solve for x to get PT and you get 16

Then to find the perimeter you would do P = PR + PR + PT = 6m + 14m + 16m = 36m

Answer:

36 m

Step-by-step explanation:

Line QS = (1/2) Line PT

8 m = (1/2) Line PT

Line PT = 16 m

Perimeter = 3 + 3 + 7 + 7 + 16

P = 36 m

I hope this helps!

Answer:

2.3 pints

Step-by-step explanation:

4.6 cups = 2.3 pints

Answer:

4th option

Step-by-step explanation:

f(x) = x² + 8x + 1

using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² + 8x

f(x) = x² + 2(4)x + 16 - 16 + 1

    = (x + 4)² - 15 ← in vertex form

Answer:

4 , 7

Step-by-step explanation:

It worked in my app so... :)

Hey there!

3/4 + 1/2 - 1/3

= 5/4 - 1/3

≈ 15/12 - 4/12

≈ 15 - 4 / 12 - 0

= 11/12

Therefore, your answer is: 11/12

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

  B)  34/48

Step-by-step explanation:

The easiest common denominator to find is the product of the denominators you have.

__

The difference is ...

  [tex]\dfrac{5}{6}-\dfrac{1}{8}=\dfrac{5}{6}\cdot\dfrac{8}{8}-\dfrac{1}{8}\cdot\dfrac{6}{6}\\\\=\dfrac{40-6}{48}=\boxed{\dfrac{34}{48}}[/tex]

__

Additional comment

The difference numerator and denominator have a common factor of 2, so can be reduced to 17/24. The denominator 24 could have been used as the common denominator from the start.

  5/6 -1/8 = 20/24 -3/24 = 17/24 . . . . reduced result

__

Using the least common denominator does not always result in a reduced sum or difference. If some other denominator is used (as here), then you can be assured that the result will need to be reduced to get to lowest terms.

The equation that can be solved to determine x, the number of hours after which the costs would be the same is; 50x + 250 = 75x + 100

The general formula for the slope intercept form of an equation is;

y = mx + c

We are told that;

Charge per hour = $50

Ownership rights = $250

Thus, for the first company, total cost is;

y = 50x + 250

For the second company;

Total cost is;

y = 75x + 100

Thus, at same cost, we have;

50x + 250 = 75x + 100

Read more about Linear Equations at; https://brainly.com/question/1884491

Answer:

50x + 250 = 75x + 100

Step-by-step explanation:

I did the test

Answer:

-5, -6, -7 ,-8, -9, -10, -11

Step-by-step explanation:

Step-by-step explanation:

From less value to large value

30 32 33 33 35

Median is the center number = 33

Mean is (30+32+33+33+35)/5 = 32.6

The same value

Based on given information about pressure from table and geometry of the solid shape, the total volume of the solid shape is approximately 21073.745 cubic centimeters. [tex]\blacksquare[/tex]

In this question we must apply the concepts of pressure (P), in newtons per square meter, cross section area (A), in square meters, and volume (V), in cubic meters, to determine that  Let assume that the bottom experiments an uniform pressure due to a reaction force (F), in newtons, from the table, whose formula is described below:

P = F/A = 4 · F /(π · D²)     (1)

If we know that F = 4 N and P = 100 N/m², then the diameter of the cylinder is:

[tex]D = 2\cdot \sqrt{\frac{F}{\pi\cdot P} }[/tex]  

D ≈ 0.226 m²

And the volume of the solid shape is: (H = 0.45 m)

V = 0.25π · D² · H + (π/12) · D³

V = 0.25π · (0.226 m)² · (0.45 m) + (π/12) · (0.226 m)³

V ≈ 0.021 m³ (21073.745 cm³)

Based on given information about pressure from table and geometry of the solid shape, the total volume of the solid shape is approximately 21073.745 cubic centimeters. [tex]\blacksquare[/tex]

To learn more on pressure, we kindly invite to check this verified question: https://brainly.com/question/356585

Answer:

A no. is correct one

Step-by-step explanation:

Hope it will help you. and please mark me brilliant

Answer:

A

Step-by-step explanation:

12x+6x=90deg

90deg+90deg=180deg

A heptagon has seven sides. The measure of the final interior angle of the heptagon is 124°.

A heptagon, sometimes known as a septagon, is a seven-sided polygon. The heptagon is also known as the septagon, which combines the prefix "sept-" with the Greek suffix "-agon," which means "angle."

A heptagon has 7 sides therefore, the sum of the interior angle of the heptagon can be written as,

[tex]\text{Sum of intetrior angles of a polygon with n sides} = (n-2)\times 180^o\\\\\text{Sum of all the angle of heptagon} = (7-2) \times 180^o = 900^o[/tex]

As it is said in the problem that the sum of the all the angles of the heptagon  except one is 776°, therefore, the measure of the last angle of the heptagon is,

The measure of the last angle = 900° - 776° = 124°

Hence, the measure of the final interior angle of the heptagon is 124°.

Learn more about Heptagon:

https://brainly.com/question/12630702

Answer:

C. 124

Step-by-step explanation:

E2020

Answer:

3rd choice: sec(a) = 1.06

Step-by-step explanation:

sec(a) = (hypotenuse)/(adjacent leg)

The statement that is accurate for the right triangle shown below is C. sec(a) = 1.06

The accurate statement is the one that can help us arrive at the correct angle in the diagram. That is sec(a) = 1.06. The formula is given as follows:

(hypotenuse)/(adjacent)

In the question we have, the hypotenuse is 50 while the adjacent is 47. Note that the hypotenuse is the longest side of the triangle, and the adjacent is often represented by the base.

So, we have;

50/47 = 1.06

Thus to find the angle for alpha in the triangle shown, the right statement would be; sec(a) = 1.06.

Learn more about right triangles here:

https://brainly.com/question/2217700

#SPJ2

Answer:

4

Step-by-step explanation:

[tex] \sqrt[5]{32^2} = (\sqrt[5]{32})^2 = 2^2 = 4 [/tex]