Using the provided measures determine the measure of angle K.

A)30.5°
B)34.90
C)41.2°
D)58.0°

Using The Provided Measures Determine The Measure Of Angle K.A)30.5B)34.90C)41.2D)58.0

Answers

Answer 1

Answer:

B. 34.90°

Step-by-step explanation:

✔️First, find GF using Trigonometric function:

Reference angle = 58°

Adjacent length = GF

Hypotenuse = 6 cm

Apply CAH, thus:

Cos 58 = Adj/Hyp

Cos 58 = GF/6

GF = 6*Cos 58

GF = 3.17951558 ≈ 3.18 cm

✔️Find angle K using the Sine Rule:

[tex] \frac{sin(K)}{GF} = \frac{sin(G)}{KF} [/tex]

Substitute

[tex] \frac{sin(K)}{3.18} = \frac{sin(64)}{5} [/tex]

Multiply both sides by 3.18

[tex] sin(K) = \frac{sin(64)}{5}*3.18 [/tex]

[tex] sin(K) = 0.5716 [/tex]

[tex] K = sin^{-1}(0.5716) [/tex]

K = 34.8618741° ≈ 34.90°


Related Questions

5x^2-4x=6 help!!! Thank you in advance !

Answers

the answer is c ahaha you’re welcome

Answer:

x = 2 ± √34/5

Step-by-step explanation:

Move terms to the left side.

5x^2 - 4x = 6

5x^2 - 4x -6 = 0

Identify a, b, and c before plugging them into the quadratic formula.

a = 5

b = -4

c = -6

x = -(-4) ± √(-4)^2 - 4 * 5(-6)/2 * 5

Then simplify.

if f(x)=2x-1 and g(x)=3x+5, then (f*g)(x) is equal to

Answers

gud evng have a gud day

hope u enjoy ur day

(F*g)(x) means to multiply the two equations.

Multiply each term by each term:

2x-1 * 3x+5 =

2x * 3x + 2x*5 + (-1)*3x + (-1)*5 =

6x^2 + 10x -3x -5 =

6x^2+7x-5

True or False: x is the same/equal to 1x

Answers

Answer:

Yes

Step-by-step explanation:

Because you're multiplying by 1 so it stays the same value

PLS HELP
WILL GIVE BRAINIEST

The points plotted below are on the graph of a polynomial. Which of the
following x-values is the best approximation of a root of the polynomial?
Check all that apply.

A. X-1.1
B. X= 4.3
C. x=2.4
D. X=6
E.X=1

Answers

Answer:

I don't know the answer but have a site that helps me with math, its called

Step-by-step explanation:

Just check it out

balance the equation showing all 6 steps. 200=g-180

Answers

Answer:

g = 380

Step-by-step explanation:

200 = g - 180

You add 180 to both sides

200 + 180 = g

380 = g

Hope that helps!

By applying Pythagorean theorem to the sides of the right triangle, which has sides as a, b and c, where c is the
hypotenuse, we get
a.) c^2= a^2+ b^2
b.) c^2= a^2– b^2
c.) c^2= a^2 - b
d.) c^2= a^2+ b

Answers

a.) c^2= a^2+ b^2

=

[tex]c {}^{2} = a {}^{2} + b {}^{2} [/tex]

where,

[tex]c = hypotenuse[/tex]

[tex]a = perpendicular[/tex]

[tex]b = base[/tex]

Hope it helps

2 more help !!!!!!!!

Answers

12 units thanks have a great day



2(4y) + 4(3r) answer

Answers

Answer: 8y+12r

Step-by-step explanation:

Take the equation

2(4y)+4(3r)

Distribute the 2 and 4 into the parenthesis'

8y+12r

Let's simply:
___________
2(4y) + 4(3r)
= 8y + 12r

the answer to your question is 12r + 8y

Cynthia has a photo frame that has a circumference of 56.52cm. What is the radius of the photo frame?

Answers

Answer:8.99 cm

Step-by-step explanation:

Answer:

[tex]8.995[/tex]cm

Step-by-step explanation:

The circumference formula is: [tex]C=2\pi r[/tex]

We are given the circumference, which is 56.52cm.

The question wants us to find the radius, r.

To achieve this, we must solve for r.

Plugging in 56.52 for C we get:

[tex]56.52=2\pi r[/tex]

Dividing both sides by [tex]2\pi[/tex], we find r:[tex]8.995[/tex]

[tex]\frac{56.52}{2\pi } =r[/tex]

[tex]8.995[/tex]≈[tex]r[/tex]

If you want to round it up, you can round it to 9cm.

Write the equation of the line, in slope-intercept form, through the
following two points
(-4,-9)
(1, 11)

Answers

Answer:

(1, 11)

that the answer

I don't know it is not sure it say Write the equation of the line, in slope-intercept form, through the

following two points

that why i say that

PLEASE HELP DUE TONIGHT

Answers

Answer:

The answer should be 20,000 feet

Step-by-step explanation:

sin 0 =opposite/hypotenuse

sin 30 = AB/AC

sin 30 = 10000/c

c= 10000/sin 30

c=10000/1/2

c=20,000 feet

please help i put pic of question

Answers

Answer: [ -8, -5] or [1, 4]

Step-by-step explanation:

Thats what I got I'm in 7th and I havent learned this yet but hope I helped <3!!!

i will give you brainliest whoever answers correct first!!

Answers

Answer:

74.4 (llllllllllll ignore this i need 20 characters to answer)

PLEASE HELP

what is 74 × 12

please show your work

(I'm giving out easy points dont be sad if you didn't get points on this one, I'll be posting a lot of them so no worries)​

Answers

the answer is 888 pls mark me as brainlist

Write an inequality that represents the graph below.

Answers

Answer:

x  ≤ -2

Step-by-step explanation:

The  arrow is going left meaning. It is less than -2. A closed dot means "or equal to". A open dot means" greater than/less than"(normal).

You can ask me to explain further if you need me to!! :)

A biologist is growing a population of bacteria for a study. The number of millions of bacteria in the population is modeled by a function, f(x), where x is the number of days since yesterday. The table shows values of f(x) for different values of x.
x f(x)
−2 3.25
−1 3.5
0 4
2 7
4 19

The function f(x) can be represented by the equation f(x)=ax+b. Enter the value for a and b in the equation f(x)=ax+b.

Answers

Answer:

y = 2x

Step-by-step explanation:

Complete a table of values for –2 < x < 2. Connect the points on the graph with a smooth curve.

The width of the wall is X +2 feet in the diagram if the perimeter of the wall is 6X +10 feet what is the length of the wall

Answers

Answer:

Hope this will help you. Here you have to use the formula P = 2(l+b)

what is the slope of the line y=4?

Answers

Answer:

there is no slope, or a slope of 0.

Step-by-step explanation:

9. The radius of sphere is increasing at a rate of 3cm/minute. Find the rate of change of volume
when r=2cm *

V = 12
48л
16л
64 л
32T

Answers

Answer:

48π

Step-by-step explanation:

Given that,

The radius of the sphere is increasing at a rate of 3cm/minute, [tex]\dfrac{dr}{dt}=3\ cm/minute[/tex]

The volume of a sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

Differentiating both sides wrt t.

[tex]\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3r^2\times \dfrac{dr}{dt}\\\\=4\pi r^2\times \dfrac{dr}{dt}[/tex]

Put r = 2 cm and dr/dt = 3 cm/minute

So,

[tex]\dfrac{dV}{dt}=4\pi r^2\times \dfrac{dr}{dt}\\\\\dfrac{dV}{dt}=4\pi \times 2^2\times 3\\\\\dfrac{dV}{dt}=48\pi[/tex]

Hence, the correct option is (a) "48π".

HELP ASAP I WILL MARK BRAINLIST!!!!

Answers

Answer 25 degrees

Step-by-step explanation:

90-65 =25

You have different lengths of material to use for a craft project:

0.93m 1.24m 0.62m 3.41m 1.5m 1.4m

Convert each length to centimetres, and then add them together to correctly calculate the total length.

Answers

Answer:

[tex]Lengths: 93cm, 124cm, 62cm, 341cm, 150cm, 140cm[/tex]

[tex]Total := 910cm[/tex]

Step-by-step explanation:

Given

[tex]Lengths: 0.93m, 1.24m, 0.62m, 3.41m, 1.5m, 1.4m[/tex]

Required

Convert to length and calculate the total

To calculate to centimeters, we simply multiply each length to 100.

So, we have:

[tex]Lengths: 0.93m, 1.24m, 0.62m, 3.41m, 1.5m, 1.4m) * 100[/tex]

[tex]Lengths: 93cm, 124cm, 62cm, 341cm, 150cm, 140cm[/tex]

The total is:

[tex]Total := 93cm+ 124cm+ 62cm+ 341cm+ 150cm+ 140cm[/tex]

[tex]Total := 910cm[/tex]

The mean length of 9 childrens' big finger is 6.8cm.
The mean length of 3 adults' big finger is 11cm.
What is the mean length (rounded to 2 DP) of these 12 people's big finger?

Answers

Answer:

The mean length of these 12 people's big finger is of 7.85 cm.

Step-by-step explanation:

Mean value:

Sum of the values of all observations divided by the number of observations.

In this question:

9 + 3 = 12 total observations

Sum:

[tex]9*6.8 + 3*11 = 94.2[/tex]

So

[tex]M = \frac{94.2}{12} = 7.85[/tex]

The mean length of these 12 people's big finger is of 7.85 cm.

Two boards are placed end to end to make a walkway. One board is 5 feet 11 inches long, and the other board is 4 feet 6 inches long. How long is the walkway?
Write your answer in feet and inches. Use a number less than 12 for inches.

Answers

Answer:

10 feet 5 inches long

Step-by-step explanation:

12 inches = 1 foot

11 inches + 6 inches = 17 inches = 1 foot 5 inches

1 foot 5 inches + 5 feet + 4 feet = 10 feet 5 inches

Therefore, the walking board is 10 feet 5 inches long

The sector of a circle has an area of 104pi/9 square inches and a central angle with measure 65 degrees. What is the radius of the circle in inches? Show work. a. 5.7 b. 8 c. 64 d. 104

Answers

The radius of the circle is 8 inches when the sector of a circle has an area of 104pi/9 square inches.

What is a sector of a circle?

A sector is said to be a part of a circle made of the arc of the circle along with its two radii. It is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc.

Which is the radius of a circle?

Radius of a circle is the distance from the center of the circle to any point on it's circumference.

Area of a sector = [tex]\frac{\theta}{360} \pi r^2[/tex]

[tex]\text{Given area = }\frac{104\times \pi}{9}=\frac{65}{360}\times \pi r^2\\\\\frac{104}{9}=\frac{65}{360} \times r^2\\\\r^2=\frac{37440}{585}\\\\r=8.001[/tex]

Hence, option b is correct, that is the radius of the circle is 8 inches.

To learn more about sector here

https://brainly.com/question/16989821

#SPJ2

WRITE AN EQUETION TO REPREDENT ECH ONE ​

Answers

Answer:

2x=3

W+1.3=2.7

3y=5.1

z+1/3=1/2

Step-by-step explanation:

You just add up all on the left to equate that on the right

2x=3

W+1.3=2.7

3y=5.1

z+1/3=1/2

In case you have to solve:

x=3/2

W=2.4

y=1.7

z=1/6

Which is the better buy, Item A, selling at 5 and 2/3 pounds for $9.52 or Item B selling at 1 1/5 pounds for $1.98? Pls help !!

Answers

Item B would be a better buy

Can someone please help meeeee I’m desperate

Answers

2=68
3=3x
5=98
I’m not sure about the others

Erin Thompson agreed to purchase a house for 97,900

Answers

Answer:

wow

Step-by-step explanation:

no way bro that's brazy

How do you write 0.00000058 in scientific notation

Answers

Answer:

5.8 x 10^-7

Step-by-step explanation:

Answer:

5.8 * [tex]10^{-7}[/tex]

Step-by-step explanation:

Move the decimal so there is one n zero digit to the left of the decimal point. The number of decimal places you moved will be the exponent on the 10. If the decimal moves to the right, the exponent will be negative. If it moves to the left, the exponents will be positive.

Formula for area the area of a triangle

Answers

I think A=12bh I hope it’s right
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