Which of these is equal to sin 58°?

Answer:

B. F(0) = 4

Step-by-step explanation:

Im unsure about the C tho.

Based on the annual income, the payment period, and the amount deducted for the 403(b), the amount deposited into Sandy's 403(b) is $220.

First find the biweekly income:

= 51,350 / (52 weeks / 2 )

= 51,350 / 21 weeks

= $2,445.24

5% is deducted from her wages and the employer matches 4% of the salary. The amount deposited is:

= (5% + 4%) x 2,445.24

= $220

Find out more on 403(b) at https://brainly.com/question/2908111.

Answer:

Hi there!

As we know that the sum of all three angles of a triangle is 180°.

If ∆ABC is right angled at C

C = 90°

=> [tex]\:\mathsf\red{∠A\: +\:∠B\: +\: ∠C\:=\:180°}[/tex]

=> [tex]\:\sf{∠A\: +\:∠B\: +\: 90°\:=\:180°}[/tex]

=> [tex]\:\sf{∠A\: +\:∠B\: =\:180°\:-\:90°}[/tex]

=> [tex]\:\sf{∠A\: +\:∠B\: =\:90°}[/tex]

Multiplying cos both sides. We get,

=> [tex]\:\sf{cos\:(∠A\: +\:∠B)\: =\:cos\:90°}[/tex]

We know cos 90° = 0, by trigonometric ratio.

=> [tex]\:\sf{cos\:90°\:=\:0}[/tex]

So,

[tex]\:\mathsf{cos(∠A\: +\:∠B)=\:cos\:90°\:=\:0}[/tex]

=> [tex]\:\sf\purple{cos\:(∠A\:+\:∠B)\:=\:0}[/tex]

[tex]\:\mathsf\blue{Hope\:this\:helps\:you!\:}[/tex]

Answer:

120 degrees

Step-by-step explanation:

30 * 4 = 120

Answer:

Step-by-step explanation:

30 + 30 + 30 + 30 = 30 x 4 = 120 degrees

Answer:

5/2 or 2 1/2 hours

Step-by-step explanation:

Multiply 5/8 by 4, which is 20/8, then you simply from there so 5/2=2 1/2

Answer:

4.9 ft

Step-by-step explanation:

Area of square = side squared

S² = A

Sub in 24 for A, then take square root of each side to find S.

S² = 24

S = sqrt (24)

= sqrt (4×6) - factorize

= 2(sqrt (6)) ft

≈ 4.9 ft

Answer:

[C] 75/100

Step-by-step explanation:

0.75 as a fraction is 75/100.

Steps:

0.75 over 1

0.75/1

Multiply both the numerator and denominator by 100

75/100

Hence, the answer is [C] 75/100

[RevyBreeze]

Answer:

[C] 75/100

Step-by-step explanation:

Given:

What is 0.75 written as a fraction?

Solution:

0.75 = Decimal

Rewriting the decimal number as a fraction with 1 in the denominator

[tex]0.75=\frac{0.75}1[/tex]

Now, multiply to remove the 2 decimal places. So, you multiply top and bottom by 10²  = 100

10²  is the same thing as 100 because 10²  = 10 × 10 and 10 × 10 = 100

[tex]\frac{0.75}{1}\times\frac{100}{100}=\frac{75}{100}[/tex]

Thus, the answer is [C] 75/100

Kavinsky

For the  Northside players, the median is 36, the range is 32 and the IQR is 18. For the southside Players :  the median is 26, the range is 12 and the IQR is 12.

The median is regarded as the middle number among a series of  sorted numbers  that are placed in ascending or descending order.

Note that from the image attached, the northside ages are 22, 25, 28, 29, 29, 36, 36, 41, 49, 49, 54.

The median northside ages therefore is 36

For Range = Highest number - Lowest number

54-22 = 32

IQR = Q₃ - Q₁

Note that first quartile Q1 is said to be the median of the n lowest values and third quartile Q3 is the median of the n highest values.

Lowest value is 22 + 25/2 = 28.5.

Highest value is 49 + 44/ 2=  46.5.

Therefore,  IQR = Q₃ - Q₁

46.5 - 28.5 =

IQR = 36

Note, for Southside Players;

If the Ages of Actors is the Southside Players are 20 22 24 26 28 30 32 34.

Then the median is =  26

Range is = 34-22 = 12

IQR = Q₃ - Q₁

Lowest = 20 + 22/ 2 = 21

Highest is 32 + 34 / 2 = 33

33 - 21

IQR  = 12

Therefore, for the  Northside players, the median is 36, the range is 32 and the IQR is 18. For the southside Players :  the median is 26, the range is 12 and the IQR is 12.

Learn more about Range from

https://brainly.com/question/26098895

Answer:

She received $5 back

Step-by-step explanation:

Answer:

170

Step-by-step

Add 5 27 times count by 5s and you will get the answer.

Answer:

To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate. So in this case, divide the numerator and denominator of 70/5 by 5, to get 14/1, or 14 students per class, which is the unit rate.

Also, what are unit rates? A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.

Step-by-step explanation:

27

using bodmas rule:

[tex]\sf b - bracket, o - order, d - division, m - multiplication, a - addtion, s - subtraction[/tex]

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

Solve:

11 x 12 - 7 x 15        (carry out multiplication first)

132 - 105                (subtract)

27                           (final answer)

Let's see

[tex]\\ \rm\Rrightarrow \dfrac{11}{12}-\dfrac{7}{15}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{11(5)-7(4)}{60}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{55-28}{60}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{27}{60}[/tex]

Step-by-step explanation:

z = 0 -7i ....................

Answer:

0.5n

Step-by-step explanation:

n/2 is equal to n * 1/2. 1/2 is equal to 0.5, so n * 1/2 = n * 0.5 = 0.5n.

Answer: A≈50.27m²

The area of a circle with a radius o 4 meters is A≈50.27m²  

Step-by-step explanation:

Answer:

C= 34.56 cm

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving for C

C= πd = π·11 ≈ 34.55752cm

La diferencia entre los ángulos AOB y COD del sistema de tres ángulos consecutivos es igual a 25°.

La medida del ángulo BOC pertenenciente al sistema de tres ángulos consecutivos es igual a 20°.

Por la geometría Euclídea conocemos que un conjunto de ángulos cuando comparten entre cada par de ángulos vecinos comparten el mismo vértice y la misma semirrecta.

De acuerdo con el enunciado, tenemos las siguientes condiciones:

∠AOB + ∠BOC = 125°   (1)

∠BOC + ∠COD = 100°  (2)

Por (1) y (2) tenemos las siguiente identidad:

∠AOB - 25° = ∠COD

∠AOB - ∠COD = 25°

La diferencia entre los ángulos AOB y COD del sistema de tres ángulos consecutivos es igual a 25°. [tex]\blacksquare[/tex]

En el segundo caso, tenemos el siguiente sistema:

∠AOB = ∠BOC + ∠COD     (3)

∠AOB + ∠BOC - ∠COD = 40°     (4)

Por (3) y (4) tenemos la siguiente identidad:

2 · ∠BOC = 40°

∠BOC = 20°

La medida del ángulo BOC pertenenciente al sistema de tres ángulos consecutivos es igual a 20°. [tex]\blacksquare[/tex]

Para aprender más sobre ángulos, invitamos cordialmente a ver esta pregunta verificada: https://brainly.com/question/21209282

Answer:

y = -4/5x-34/5

Step-by-step explanation:

1. Put into slope-intercept form: 5x-4y = 10 ⇒ 4y = 5x-10 ⇒ y = 5/4x - 5/2

2. A perpendicular slope is the negative reciprocal of the original slope. ⇒ m = -4/5

3. Make a general solution using the new slope: y = -4/5x + b

4. Plug in the point (-1,-6) and solve for b: -6 = -4/5(-1) + b ⇒ -6-(4/5) = b ⇒    

b = -34/5

5. Put b in the general solution to find the particular solution: y = -4/5x-34/5

5 5/6

5 x 1 1/6 = 5 5/6

Answer:

The answer is 5 5/6. Hope this helps!

Answer:

46.8 cm

Step-by-step explanation:

A hexagon has six sides. If it is a regular hexagon, then it is equilateral, meaning that each side is the same length. If one side is 7.8cm, then all sides will be 7.8cm. You can find the perimeter by adding 7.8 six times, or multiplying 7.8 by six.

7.8 · 6 = 46.8

hope this helps!

[tex]\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\\\ \begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} ~\hspace{4em} \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]12^3~~ = ~~x^4 y^3 z^6\implies \log_{12}(x^4 y^3 z^6)=3 \\\\\\ \log_{12}(x^4)~~ + ~~\log_{12}(y^3)~~ + ~~\log_{12}(z^6)~~ = ~~3 \\\\\\ 4\log_{12}(x)~~ + ~~3\log_{12}(y)~~ + ~~6\log_{12}(z)~~ = ~~3[/tex]

Answer:

20 burgers

Step-by-step explanation:

4/6×30 = 2/3 ×30 = 60/3 = 20

Answer:

(D)

Step-by-step explanation:

[tex]\frac{5(2x-3) -3(x+4)}{9}[/tex] = [tex]\frac{10x-15-3x-12}{9}[/tex] = [tex]\frac{7x-27}{9}[/tex]

Answer:

57064

Step-by-step explanation:

Answer:

y = 40, x = 9

Step-by-step explanation:

2(3y)+2(2y-20)=360

y = 40

2x=18

x = 9

Answer:

Step-by-step explanation:

The value of t  at a height of 11 feet is 0.36 sec when the ball is going upwards and 1.39 seconds when the ball is coming downwards.

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.

It is written in the form of ax²+bx+c.

Given that the height of the ball at time t is given by the function,

[tex]h(t) = 3+ 28t -16t^2[/tex]

where t is in seconds and h is in feet.

Now, the height of the ball is given to be 11 feet, therefore, substituting the value of h in the function as 11,

[tex]h(t) = 3+ 28t -16t^2\\\\11 = 3+ 28t -16t^2\\\\-16t^2 + 28t +3 -11 = 0\\\\-16t^2 + 28t -8 = 0[/tex]

Now, solving the given quadratic equation, we will get,

[tex]x= \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t = \dfrac{-(28)\pm \sqrt{(28)^2-4(-16)(-8)}}{2(-16)}\\\\t= 0.36\ or\ 1.39[/tex]

Hence, the value of t  at a height of 11 feet is 0.36 sec when the ball is going upwards and 1.39 seconds when the ball is coming downwards.

Learn more about Quadratic Equations:

https://brainly.com/question/2263981

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Answer:

diameter-- last picture on right side

radius-second last picture on right side

πd=2πr

2r=d/2

Step-by-step explanation:

diameter is a line segment that goes through the center of a circle

this will match to the last image on the right side

radius is half of the diameter or from a point on the outer edge of the circle to the center

this will match to the second one on the right side

πd-- d=2*radius

2πr

2r=d/2

because radius is half of the diameter

Answer: 1 1/20

Step-by-step explanation:

1/2 / 5/8 + 1/4

=8/10 +1/4

=21/20

=1 1/20