What is the lcm of 48 and 54

Answer:

Step-by-step explanation:

x=[tex]\sqrt{100+16}[/tex]

x=[tex]\sqrt{116}[/tex]

x=2[tex]\sqrt{29[/tex]

Answer:

[tex] x = \blue{2\sqrt{29}} [/tex]

Step-by-step explanation:

[tex] a^2 + b^2 = x^2 [/tex]

[tex] 4^2 + 10^2 = x^2 [/tex]

[tex] 16 + 100 = x^2 [/tex]

[tex] x^2 = 116 [/tex]

[tex] x = \sqrt{116} [/tex]

[tex] x = \sqrt{4 \times 29} [/tex]

[tex] x = \blue{2\sqrt{29}} [/tex]

Answer:

The current temperature = 34.2°C

Step-by-step explanation:

Initial temperature = 46.8°C

After 20 minutes temperature reduced by 12.6°C

Therefore, the current temperature is = 46.8°C - 12.6°C = 34.2°C

Answer:

The volume of the cylinder is 125.664 cubic inches, without rounding off

Answer:

[tex]{ \tt{ - \frac{3}{8} + \frac{1}{6} }} \\ { \bf{l.c.m \: of \: 8 \: and \: 6 = 24}} \\ { \tt{formular = \frac{(l.c.m \times denominator \div numerator)}{l.c.m} }} \ \\ \\ = \frac{(24 \times 8 \div - 3) + (24 \times6 \div 1)}{24} \\ = - \frac{5}{24} [/tex]

Answer:

Decreasing linear

Step-by-step explanation:

An arithmetic sequence decreases by a set amount every time through subtraction, so that means it's linear

The horizontal distance from Jayden to the bridge will be equal to 845.17 feets.

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

Given that:-

The angle of elevation of 42⁰

The bridge stands 761 feet above

Here the horizontal distance will be calculated as:-

[tex]x= \dfrac{761}{tan42}=845.187\ feet\\[/tex]

Therefore the horizontal distance from Jayden to the bridge will be equal to 845.17 feet.

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Answer:

a = 2

b = 0

c = 3

Step-by-step explanation:

if I understand correctly the problem should look like

2x⁴ + 2x³ + 5x² + 3x + 3 = (x² + x + 1)(ax² + bx + c)

let's calculate the right side

ax⁴ + ax³ + ax² + bx³ + bx² + bx + cx² + cx + c

as there is only one term of x⁴, we know a = 2

as there is only one term without any x, we know c = 3

now we get

2x⁴ + 2x³ + 2x² + bx³ + bx² + bx + 3x² + 3x + 3

remember, that is equal to

2x⁴ + 2x³ + 5x² + 3x + 3

after subtracting 2x⁴ and 3 from both sides we get

2x³ + 5x² + 3x = 2x³ + 2x² + bx³ + bx² + bx + 3x² + 3x

we subtract 2x³ and 3x from both sides and get

5x² = 2x² + bx³ + bx² + bx + 3x² = 5x² + bx³ + bx² + bx

we subtract 5x² from both sides and get

0 = bx³ + bx² + bx

=> b must be 0 to make this true for all values of x

Answer:

TU ≈ 12.96

Step-by-step explanation:

Using the Altitude on Hypotenuse theorem

(leg of outer triangle)² = (part of hypotenuse below it) × (whole hypotenuse)

TU² = UV × SU = 6 × 28 = 168 ( take square root of both sides )

TU = [tex]\sqrt{168}[/tex] ≈ 12.96 ( to the nearest hundredth )

Answer:

Completa la tabla para la expresión en que y= 2x – 1

y = 2x – 1

y = 2(1) – 1

y = 2 – 1 = 1 ahora hagan lo mismo con los otros valores de x en la tabla notación científica las siguientes cantidades, observa el ejemplo

Answer:

99407/100000

Step-by-step explanation:

100000 - 593 = 99407

Answer: 28 hours

Step-by-step explanation:

1. Write original equation: 7.15x=3.40x+105

2. Combine like terms to isolate x: 3.75x=105

3. Divide both sides by same amount to find x: x=28

They would have to work 28 hours to earn the same amount of money.

Answer:

Wouldn't it be B?

Step-by-step explanation:

When you have a radical like -[tex]\sqrt{25}[/tex], it would be -5 because the negative is added after the radical is simplified. When the negative is in the inside like your [tex]\sqrt{-25}[/tex], then you can ignore the negative temporarily and simplify to get 5. Then you add an imaginary number.

So it would be 5i?

5si = good

Answer:

x = 2, BD = 13

Step-by-step explanation:

Given 2 intersecting chords , then

The product of the parts of one chord is equal to the product of the parts of the other chord, that is

4(5x - 1) = 6 × 6 = 36 ( divide both sides by 4 )

5x - 1 = 9 ( add 1 to both sides )

5x = 10 ( divide both sides by 5 )

x = 2

Then

BD = 5x - 1 + 4 = 5(2) + 3 = 10 + 3 = 13

Answer:

Angle BCA = 90

Step-by-step explanation:

A triangle inscribed inside of a circle using the diameter as it's hypotenuse is a right triangle

Where the angle opposite of the hypotenuse ( or diameter ) is the right angle

Angle BCA is the angle opposite of the diameter

Hence BCA = 90

Answer:

C.) g(x) = 3x^2

Answer:

the answer is if a=5

than, 5+x=-3

or,x=-3-5

therefore x=-8

Answer:

[tex]x = - 8[/tex]

Step-by-step explanation:

[tex]a + x = - 3[/tex]

[tex]5 + x = - 3[/tex]

[tex] x = - 3 - 5[/tex]

[tex]x = - 8[/tex]

Answer: -42 is the answer.

Answer:

x = 32

Step-by-step explanation:

The sum of all interior angles of this pentagon is 540

Solve for x by using this formula

540 = (180-71)+(180-85)+(180-44)+(180-3x)+(180-2x)

540 = 700 - 5x

540 - 700 = -5x

-160 = -5x

-160/-5 = x

32 = x

Answer:

they are congruent im pretty sure

Step-by-step explanation:

looks like they are congruent by SAS

Answer:

x = 71.5 in

Step-by-step explanation:

Remember the SOHCAHTOA rule

Soh...

Sine = Opposite / Hypotenuse

...cah...

Cosine = Adjacent / Hypotenuse

...toa

Tangent = Opposite / Adjacent

In this case, we use: CAH.

cos(52) = 44/x

x = 44/cos(52)

x = 71.5 inches

Answer: The slope of the line is -2

Step-by-step explanation:

We can use the formula [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] to solve to for this

[tex]\frac{-9--1}{-1--5} \\\frac{-8}{4} \\-2[/tex]

Answer:

7 m

Step-by-step explanation:

63/9=7 and 7*9=63

Answer: 7.

Step-by-step explanation:

Divide 63 and 9 and you get 7. Remember, length times width equals area.

Answer:

isn't it b i remember doing something almost the same as this

Answer:

24

Step-by-step explanation:

f(4) means you plug the 4 into the equation so 4 x 4= 16

then 3(4)= 12

16+12-4=24

======================================================

Explanation:

Both legs are the same length, as indicated by the tickmark.

Use the pythagorean theorem to solve for x

[tex]a^2+b^2 = c^2\\\\( \sqrt{10} )^2 + ( \sqrt{10} )^2 = x^2\\\\10 + 10 = x^2\\\\x^2 = 20\\\\x = \sqrt{20}\\\\x = \sqrt{4*5}\\\\x = \sqrt{4}*\sqrt{5}\\\\x = 2\sqrt{5}\\\\[/tex]

Given :

The garden is 12m by 10m. 15% of the total area is gardern patch and 3/8 is a flowerbed.

Solution :

Area of lawn = Area of garden - area of garden patch - area of flowerbed.

[tex]A = 12\times 10 - 12\times 10 \times 0.15 - \dfrac{3}{8} \times 12 \times 10\\\\A = 57 \ m^2[/tex]

Total cost of spray is given by :

[tex]Total \ cost =Total\ area \times cost \ per \ area\\\\T = 57 \times \dfrac{0.35}{3} \\\\T = \$6.65[/tex]

Hence, this is the required solution.

Answer:

9.6% or 9.7% did not finish

Step-by-step explanation:

You can solve this 2 different ways:

First way: 17+8=25, so 25 out of 260 did not complete. 25/260=0.096, or 9.6% did not finish.

Second way: 235 out of 260 finished. 235/260=0.903, or 90.3% finished. 100-90.3= 9.7, which is almost exactly equal to our first answer.

They can't be the same because 25/260 and 235/260 are very random decimals, so the answer is 9.6% to 9.7% :)

Answer:

2224.32 cm³

Step-by-step explanation:

La fórmula para el volumen de una pirámide hexagonal = 1/3 (1/2 × P × a) × h

Donde a = Apotema = 9,93 cm

P = Perímetro =

Pirámide hexagonal = 6 × Bordes de la base = 6 × 8 cm = 48 cm

h = Altura = 28 cm

Por eso,

Volumen de la pirámide hexagonal = 1/3 (1/2 (48 × 9.93) × 28 cm

= 1/3 × 238.32 × 28 cm

= 2224.32 cm³

Volumen de la pirámide hexagonal = 2224.32 cm³