David is paid a salary of $1850 per month. He is also paid time and a half for work in excess of 40 hours a week. He worked 62 hours last week. What is his gross pay?

Answer:

60⁰

Step-by-step explanation:

A triangle has three angles.

The sum of its angles = 180⁰

[ By angle sum property ]

Let the unknown angle be 'x'

Then,

30⁰ + 90⁰ + x = 180⁰

120⁰ + x = 180⁰

x = 180⁰ - 120⁰

x = 60⁰

Therefore, the unknown angle will be equal to 60⁰

Answer:

[tex]{ \tt{ {27}^{3} \times {9}^{2} \times 3 }} \\ = { \tt{ {3}^{3} \times {3}^{2} \times {3}^{1} }} \\ = { \tt{ {3}^{(3 + 2 + 1)} }} \\ { \tt{ = {3}^{6} }}[/tex]

Answer:

It's actually: None of these.

Think about it: In this case we have an inequality, of x ≤ 0.

This basically means, that x can be less than OR equal to 0.

But 0 is neither negative or positive, so we can eliminate the following answer choices:

- all positive integers

- all negative real numbers

- all positive real numbers

- all negative integers

And we are left with "None of these"

Let me know if this helps!

Option B is correct. None of these options is the right answer since zero is neither an integer nor a real number

Before we can decide which option is correct, first we must integers and real numbers are.

Given the set of numbers {x | x ≤ 0}. The set of numbers in the set will be all integers less than zero including zero (zero is not an integer)

Hence the set of numbers are not all negative integers since 0 is not a negative integer.

They are not all positive integers rather they are mostly negative integers

They are not all positive and negative real values because zero is not a real integer.

Hence we can conclude that None of the options is correct.

Learn more here: https://brainly.com/question/2691012

La expresión numérica que representa el número de fósforos según el número de triángulos es: x=2n+1

Vamos a suponer que los triángulos se disponen de la manera mostrada en el diagrama (ver diagrama adjunto)

En este caso vamos viendo un patrón, por cada nuevo triángulo vamos necesitando dos fósforos adicionales.

[tex]x_{n}=a+d(n-1)[/tex]

En este caso vamos a definir dos variables:

x = número de fósforos

n = número de triángulos

El patrón que vimos arriba se puede escribir de la siguiente manera:

x=3+2n

pero mucho ojo, esta fórmula es válida únicamente si empezamos a contar de n=1 triángulo adicional (osea cuando tenemos 2 triángulos). Si usamos n=1 obtenemos:

x=3+2(1)=5 (el cual es el resultado para 2 triángulos, no 1)

Esto se puede arreglar restándole un 1 a la x para que de esa forma, la fórmula sea válida cuando usamos x=1 triángulo, así que obtenemos:

x=3+2(n-1)

(Esta es la forma general de una secuencia aritmética.)

Ahora bien, esta fórmula puede ser simplificada usando álgebra, así que obtenemos:

n=3+2x-2

lo cual nos da:

n=2x+1

por lo que la expresión numérica que representa el número de fósforos según el número de triángulos es: n=2x+1

Puedes encontrar más información sobre secuencias aritméticas en el siguiente enlace:

https://brainly.com/question/15456604?referrer=searchResults

Answer:

45

Step-by-step explanation:

a44 = 2 + (43 × 1) = 2 + 43 = 45

Answer: 441 pages

Step-by-step explanation:

[tex]\frac{1}{3}p-3=144\\\frac{1}{3}p=147\\3(\frac{1}{3})p=147(3)\\p=441[/tex]

Answer:

√(3x)-2y+7

here √(3x) means, √3×√x

√x = x^(1/2)

now, now the exponent is 1/2, which means it's not a polynomial

A = pi x r x l

= 3.14 x 5 x 13

= 204.1

Answer:

282.7 mi^2

Step-by-step explanation:

Surface area of cone=pi*r*(r+l)=pi*5*18=282.7

Answer:

the answer to this is:

[tex]\frac{5+\sqrt{41} }{2} and\\\frac{5-\sqrt{41} }{2}[/tex]

Step-by-step explanation:

Answer:

2.4 mass increase

Step-by-step explanation:

6-3.6=2.4

Answer:

67%

Step-by-step explanation:

formula is = the new weight - the old weight/the old weight ×100%

=6-3.6/3.6 ×100%

=2.4/3.6×100%

=0.6666×100%

=66.6% approximately

67%

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

Explanation:

We get this point by doing two things.

If we started with x = -3, then x-2 = -3-2 = -5. Also, if we had y = -1 then y-7 = -1-7 = -8

So that's how we end up with Z(-3,-1) moving to Z ' (-5, -8)

You could also show your work like this

[tex](x,y) \to (x-2, y-7)\\\\(-3,-1) \to (-3-2, -1-7)\\\\(-3,-1) \to (-5, -8)\\\\[/tex]

Answer:

18.8

Step-by-step explanation:

You just add the two lengths and then do pythagorean theory to get the length of the hypotenuse. Then you add them all together to get 18.8. Hope this helps.

Answer:

i think second number.

not sure but i think that's the answer

Answer:

it's 200

Step-by-step explanation:

it is rounded to 200 because the last two digit which are 62 should be 50 or above.

Answer:

51

Step-by-step explanation:

Answer:

d) 7.61​

Step-by-step explanation:

384.085 ÷ 50.5 = 7.605643

d is the only possible value (u get it when u round up to 3 sf)

Answer:

Step-by-step explanation:

384.085 d i v i d e d  b y 50.5

                   =  7.61

Answer:I’m not sure

Step-by-step explanation: try and use the scientific demos

Answer:

8*4+3*2

Step-by-step explanation:

Answer:

38. hope i'm right

Step-by-step explanation:

Answer:

a=v-u÷t

0.2=v-0÷180

0.2×180=v

36=v

Answer:

-1

Step-by-step explanation:

-2+(-1)÷3

-2-1÷3

-3÷3

-1

Answer:

-2+(-1)

= -----------

3

-2-1

= ------------

3

-3

= --------

3

= -1

Step-by-step explanation:

substitute the letters with the given numbers

Answer:

dissect the trapezium into a square and triangle. since the triangle is a right angled one the base is 17-7=10cm

the height is found using Pythagorean theorem to be 24cm i.e 26²=x²+10²,x=√(676-100),x=√576,x=24cn

area of trapezium is (1/2)(a+b)h

a is the shorter side and b the longer side

(1/2)*(7+17)24

=288cm²

Using Pythagorean thereon

[tex]\\ \Large\sf\longmapsto P^2=H^2-B^2[/tex]

[tex]\\ \Large\sf\longmapsto P^2=9^2-6^2[/tex]

[tex]\\ \Large\sf\longmapsto P^2=81-36[/tex]

[tex]\\ \Large\sf\longmapsto P^2=45[/tex]

[tex]\\ \Large\sf\longmapsto P=\sqrt{45}[/tex]

[tex]\\ \Large\sf\longmapsto P=6.3ft[/tex]

Answer: L = 36 feet approximately

The more accurate value is 35.9547644 feet, but this approximate value isn't exact either.

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

Explanation:

Ignore the vertical line and any byproducts of it.

Refer to the diagram below. Note that the 95 degree angle is from 15+80 = 95.

We can use the law of sines like so

sin(A)/a = sin(B)/b

sin(75)/200 = sin(10)/L

L*sin(75) = 200*sin(10)

L = 200*sin(10)/sin(75)

L = 35.9547644 which is approximate.

This rounds to roughly 36 feet when rounding to the nearest whole number.

Side note: We never use angle C = 95, and its opposite side.

[tex]\huge\color{lime}\boxed{\colorbox{black}{Answer : - }}[/tex]

sec² θ (1 + sin θ) (1 - sinθ ) = k

sec² θ(1-sin²θ ) = k

sec² θ cos² θ = k

sec² θ. 1 /sec²θ = k

1 = k

.. k = 1.

Answer:

Step-by-step explanation:

Because those lines are parallel, that means that the angle measuring 75 and the angle measuring 4x + 7 are alternate interior and by definition are congruent. Therefore,

75 = 4x + 7 and

68 = 4x so

x = 17

Answer:

8√3 ≈ 13.86

Step-by-step explanation:

6√2 - 4√3 + | 3√(2²•2) -8√3 | + 2√2²•3

Every 2² get our from the square root and loses the ² :

6√2 -4√3 + | 2•3√2 -8√3 | + 2•2√3

Solve the multiplications and taking of the | | , the signal inside it changes:

6√2 - 4√3 +8√3 -6√2 +4√3

Now you group the similar terms and solve the possible operations:

6√2 - 6√2 +4√3 - 4√3 + 8√3

8√3 ≈ 13.86

Step-by-step explanation:

4(3_/2-2_/3)

SEE the IMAGE for Solution

Answer:

3(t-y)

Step-by-step explanation:

difference means subtractions

3*(t-y)

Answer:

3 × (t - y)

Step-by-step explanation:

three times = 3×

the difference between t and y = t - y

Now that we have separated the key information in the word expression, you can now piece together the expression.

3 × (t - y)

Hope this helped.

Answer:

circumference = 25.12 yards

area = 50.24 yards squared or yd^2

Step-by-step explanation:

circumference = pi * d

3.14 * 8 =

25.12

area = pi* r^2

r = 1/2 of d = 4

area = pi * 16

3.14 * 16 =

50.24

Answer:

Area: 50.24yds^2            Circumference: 25.12yds

Step-by-step explanation:

Area: The formula for area of a circle is a = πr^2.

The radius (r) of the circle is 4yds because it is half the length of the diameter. The equation would like like this:

A = (3.14)(4)^2

A = (3.14)(16)

A = 50.24yds

Circumference: The formula for circumference is 2πr. We already know all of the variables so we can plug them in.

C = 2(3.14)(4)

C = 25.12yds

Hope this helps

Answer:

2304 cubic inches

Step-by-step explanation:

Volume = Width x length x height

Green cube:

[tex]12*12*6=864[/tex]

Blue cube:

[tex]10*18*8=1440[/tex]

Add them together:

[tex]1440+864=2304[/tex]