Solve the following quadratic equation for all values of x in simplest form.
4(6 — 5x)² + 11 = 20

The surface area of the square pyramid will be 105768.98 square meters.

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of anybody is called the surface area.

Given that:-

The surface area of the pyramid will be:-

[tex]SA\ = \ a^2+2a\sqrt{\dfrac{a^2}{4}+h^2}}[/tex]

SA  =  48400 + 440 √17000

SA  =   48400  +  57368

SA  =   105768.98  square meters

Therefore the surface area of the square pyramid will be 105768.98 square meters.

To know more about a surface area follow

https://brainly.com/question/25292087

#SPJ1

The equation y = 2x + 3 is a linear equation, and the equivalent equation of y = 2x + 3 is y - 3 - 2x = 0

The equation is given as:

y = 2x + 3

Subtract 3 from both sides

y - 3 = 2x

Subtract 2x from both sides

y - 3 - 2x = 0

The above means that the equation y - 3 - 2x = 0 is equal to the equation  y = 2x + 3

Hence, the equivalent equation of y = 2x + 3 is y - 3 - 2x = 0

Read more about equivalent equations at:

https://brainly.com/question/2972832

#SPJ1

Linear function : y = x + 4

Exponential function : y = 4.5 e^(0.144 x)

Power function : y = 4.5 x^0.415

Answer:

Y = -(1/3)X

Step-by-step explanation:

Extract two points

P1(6; -2) P2(-6; 2)

Now:

Y=mX+n. n=0 (interception with Y axis) exis)

Y=mX +0. m= (y2-y1) / (x2-x1)

m= (2+2) / (-6-6)

m= -(1/3)

Y=-(1/3)X

Answer:

2ft 2ft

Step-by-step explanation:

2ft,2ft,2ft,2ft

Answer:

Its a categorical variable

Step-by-step explanation:

I took the test on edge

Answer:

T-shirt size is a categorical variable.

Step-by-step explanation:

I used chatopenai.com

Answer:

x ≈ 17.5

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

x² = 9² + 15² = 81 + 225 = 306 ( take square root of both sides )

x = [tex]\sqrt{306}[/tex] ≈ 17.5 ( to the nearest tenth )

Answer:

[tex] 3 < x \leqslant - 1[/tex]

Explanation:

the point on the left is closed with the line going to the right so it is greater than or equal to x

[tex] - 1 \geqslant x[/tex]

and the point on the right is open with the line going to the right so it is less than x

[tex]3 < x[/tex]

Answer:

The right angles are B,D,E,and F

Answer: $32

Step-by-step explanation:

answer : -40/41

steps:

soh cah toa

sin is soh

meaning opposite/hypotenuse

opposite is 9 and

hypotenuse is 41

now you can treat it like a triangle and use the pythagorean theorem

a^2 + 9^2 = 41^2

a^2 + 81 = 1681

a^2 = 1600

a = 40

in soh cah toa

cos is adjacent/hypotenuse so

cos is 40/41

its in quadrant 2 so its negative

-40/41

https://brainly.com/question/16662226

The value of tan(x) is [tex]-\frac{\sqrt{91}}{3}[/tex] if cos(x) = -3/10 and the angle is in the second quadrant i.e. quadrant II

The expression is given as:

cos(x) = -3/10

Using the following trigonometry identity:

sin²(x) + cos²(x) = 1

The equation become

sin²(x) + (-3/10)² = 1

Evaluate the exponent

sin²(x) + 9/100 = 1

Subtract 9/100 from both sides

sin²(x)  = 91/100

Take the square root of both sides

[tex]\sin(x) = \frac{\sqrt{91}}{10}[/tex]

Sine is positive in quadrant II.

So, the tangent is calculated using:

[tex]\tan(x) = \sin(x) \div \cos(x)[/tex]

This gives

[tex]\tan(x) = \frac{\sqrt{91}}{10} \div -\frac{3}{10}[/tex]

Evaluate

[tex]\tan(x) = -\frac{\sqrt{91}}{3}[/tex]

Hence, the value of tan(x) is [tex]-\frac{\sqrt{91}}{3}[/tex]

Read more about trigonometry ratios at:

https://brainly.com/question/11967894

#SPJ1

Answer:

It will become 64 times larger

Step-by-step explanation:

Answer:

The incenter....

Step-by-step explanation:

The point at which all three of the angle bisectors of a triangle meet is known as the incenter

dont confuse it with the circumcenter and the centroid.

i hope this helps!!!

30/7

Step-by-step explanation:

1.5kg : 350g

1kg = 1000g

So, 1.5kg = 1500g

1500g : 350g

1500/350 = 30/7

The answer is 30/7.

The function is a quadratic function, and none of the given options is a factor of the graph of the function

The zeros of the function are given as:

-3 and 5

This means that:

x = -3 and x = 5

Rewrite as:

x + 3 = 0 and x - 5 = 0

Multiply both equations

(x + 3)(x -5) = 0 * 0

This gives

(x + 3)(x -5) = 0

Express as a function

f(x) = (x + 3)(x -5)

The above means that the factors of the function are (x + 3) and (x -5)

Hence, none of the given options is a factor of the graph of the function

Read more about factors at:

https://brainly.com/question/723406

#SPJ1

Answer:

5*4= 20

Step-by-step explanation:

The commutative property is a math rule that says that the order in which we multiply numbers does not change the product.

4*5 = 20

We can change to order and the result is still the same

5*4= 20

Answer:

so just think of it as you drawing circles with the number of shapes in each one like 4x6=24 draw 6 big circles and 4 squares in each one or in this case do it with 4x5

Step-by-step explanation:

Answer:

h ÷ 4.2

Step-by-step explanation:

Answer:

use half-life formula!

Step-by-step explanation:

for exponential word problems, lots of them use the half life formula.

hope this helps :)

Answer:

C  28

Step-by-step explanation:

:)

Answer:

the answer is x=16

Step-by-step explanation:

trust me bro

Answer:

C

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

so, we know in our case

b(b+12) = 189 cm²

b² + 12b - 189 = 0

let's try to solve this by completing the square.

that means we try to find the expression

(b + k)² + c

that is equal to

b² + 12b - 189

(b + k)² + c = b² + 2kb + k² + c = b² + 12b - 189

so,

2k = 12

k = 6

and then

k² + c = -189

6² + c = -189

36 + c = -189

c = -225

(b + 6)² - 225 = 0

(b + 6)² = 225

b + 6 = 15

b = 9

so, the baseline b = 9 cm.

the height b+12 = 9+12 = 21 cm.

Answer:

All integers are rational numbers .

Step-by-step explanation:

please mark as branliest

Answer:

Step-by-step explanation:

32.8 = 164/5

= 32/4/5

as a fraction

To convert the decimal 32.8 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

32.8 = 32.8/1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,

32.8

1

= (32.8 × 10)

(1 × 10)

= 328/10

.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(328,10) = 2. So,

(328÷2)

(10÷2)

= 164/5

when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 328/ 10

is also equal to 32/4 /5

when expressed as a mixed number.

Using it's concept, it is found that the functions that have a greater y-intercept than g(x) = |x + 3| + 4 are given as follows:

It is the value of the function when the input is of zero, that is, f(0).

For g(x) = |x + 3| + 4, we have that g(0) = 7. As for the other functions, we have that:

More can be learned about the y-intercept of a function at https://brainly.com/question/24737967

#SPJ4