Given DOG, find DG.

Round your answer to the nearest hundredth.

Answers

Answer 1

Answer:

DG = 31.75

Step-by-step explanation:

The question is incomplete; however, I'll answer your question using attached image.

From the attachment,

<G = 72° and DO = 8.2

Required

DG?

To get the length of side DG, We have to look for a trigonometric ratio that relates DG, DO and <G together.

DG represents the hypothenus of the triangle;

DO represents the opposite of the triangle;

The two sides are bound by the sine function.

i.e.

Sin72° = DO/DG

Sin72° = 8.2/DG

Multiply both sides by DG

DG * Sin72 = 8.2/DG * DG

DG * Sin72 = 8.2

Sin72 = 0.2538

So, DG * Sin72 = 8.2 becomes

DG * 0.2538 = 8.2

Divide both sides by 0.2583

DG * 0.2583/0.2583 = 8.2/0.2583

DG = 8.2/0.2583

DG = 31.746031746

DG = 31.75 --- Approximated

Given DOG, Find DG.Round Your Answer To The Nearest Hundredth.

Related Questions

In ΔMNO, the measure of ∠O=90°, MN = 9 feet, and OM = 4.2 feet. Find the measure of ∠N to the nearest degree.

Answers

Answer:

The measure of angle N to the nearest degree is 28 degrees

Step-by-step explanation:

To answer this question, we shall be needing a diagrammatic representation of the triangle. Please check attachment for this.

To calculate the angle N, we shall be making use of trigonometric identities. From the diagram we see that we have the hypotenuse ( the longest side and the side facing the angle 90) and also the opposite ( the side facing the angle N)

Thus, the correct trigonometric identity to use here is the Sine

Mathematically, the sine of an angle = length of the opposite/length of the hypotenuse

Our opposite here is 4.2 feet with our hypotenuse as 9 feet

Plugging these values, we have

Sin N = 4.2/9

Sin N = 0.46666667

N = arc sin (0.46666667)

N = 27.82 , to the nearest degree we have 28 degrees

Answer:

28°

Step-by-step explanation:

:)

WILL MARK BRAINLIEST!!
The volume of a cylinder is 1,386 m3 and its radius is 7 m. What is its height to the nearest whole number?

Answers

Answer:

h = 9

Step-by-step explanation:

[tex]volume = \pi \: {r}^{2} h \\ 1,386 = \frac{22}{7} \times 7 \times 7 \times h \\ 1,386 = 154 \times h \\ h = \frac{1,386}{154} \\ h = 9[/tex]

there are 18 blueberries in a bowl .there are 3 times as many blueberries as strawberries in the bowl.how many strawberries are in the bowl?

Answers

Answer:

6

Step-by-step explanation:

Number of blueberries = 18

Number of strawberries = 3 times less than blueberries

Number of strawberries

18/3 = 6

Answer: 6 strawberries

A cylindrical swimming pool is approximately 12 feet wide and 4 feet deep. About how many gallons of water can the swimming pool contain? Remember that 1 cubic foot is approximately 7.48 gallons.

Answers

Answer:

Step-by-step explanation:

Since the swimming pool is cylindrical, we would find its volume by applying the formula for determining the volume of a cylinder which is expressed as

Volume = πr²h

Where

r represents radius of the cylinder

h represents height

π = constant = 3.14

From the information given,

Diameter = 12 feet

Radius, r = diameter/2 = 12/2 = 6 feet

h = 4 feet

Volume = 3.14 × 6² × 4 = 452.16ft³

Since 1 cubic foot is approximately 7.48 gallons, the number of gallons of water that the swimming pool can contain is

452.16 × 7.48 = 3382.16 gallons

what is surface area?​

Answers

the surface area is the area of the outside of a 3D shape for example, let’s say you have a cube, a cube has 6 sides, so you have to find the area of each side and then add it up, since it’s a cube you would technically have to find the area of one side and then just multiply it by 6, that would be the easiest way to do it


Hope I helped!

15 5 6 6 19 4 5 5 3 4 5 19 5 4 6
What is the mean? Round your answer to the nearest tenth.

Answers

counter = 0
sum = 0

while we haven't covered all the numbers, repeat these:
Step 1: sum = sum + (next number)
Step 2: counter = counter + 1

When all numbers are covered: the average is (sum/count)

If there are 3 classrooms that each have 25 desks and there are a total of 87 students, how many more desks need to be added to a 4th classroom, that was originally empty, so that each of the students has a desk to sit in?

Answers

Answer:

12

Step-by-step explanation:

If there are 3 classrooms that each have 25 desks and there are a total of 87 students, how many more desks need to be added to a 4th classroom, that was originally empty, so that each of the students has a desk to sit in?

25 * 3 = 75

87 - 75 = 12

Marquis wrote the linear regression equation y=1.245x-3.685 to predict the cost, y, of x songs purchased. Which is the best estimate of number of songs that marquis purchased?

Answers

The complete question is;

Marquis wrote the linear regression equation y = 1.245x - 3.685 to predict the cost, y, of x songs purchased. Marquis spent $40 on songs. Which is the best estimate of the number of songs that Marquis purchased?

Answer:

The best estimate of the number of songs that Marquis purchased = 35 songs

Step-by-step explanation:

First of all, let's make x the subject of the linear regression equation.

 We are given that,

 y = 1.245x - 3.685

 So,

 1.245x = (y + 3.685)

 x = (y + 3,685) / (1,245)

We are told that Marquis spent $40 on songs.

Thus;

Substituting the value of $40 for y into the equation to get;

 x = (40 +3,685)/(1,245)

x = 35.09

x ≈ 35

 

Thus, the best estimate of the number of songs that Marquis purchased is 35

Answer:

the number of songs that Marquis purchased is 35

The area of a rectangular baking sheet is 25 square inches. The base of the sheet is 10 inches. What is the height?
2 and one-half in.
3 in.
3 and one-half in.
250 in.

Answers

Answer:

2 1/2

Step-by-step explanation:

take 25 and divide it by 10 giving you 5/2 but that equals 2.5 and 2.5 equals 2 1/2

Answer:
2 [tex]\frac{1}{2}[tex] in.
Step-by-step explanation:

Which table could be used with Table A to verify that the function modeling Fahrenheit temperature, F(C), based on a given Celsius temperature, C, is the inverse of C(F)?

Answers

Answer:

Its A

Step-by-step explanation:

c=-20, -15, -5

f(c)=-4,5,23

gl with your test or quiz

Answer: its A

Step-by-step explanation:

Laura drives a garbage truck that weighs 3 tons. She picked up 2 tons of recyclables. What is the total weight in pounds of the garbage truck and recyclables?

Answers

Answer:

Step-by-step explanation:

Total weight=The garbage truck weight + recyclables weight =3 tons + 2 tons = 5 tons

Answer: 5

Step-by-step explanation:

3+2=5

Find the value of x in these right-angled triangle, correct two decimal places A=20 B=7

Answers

Answer:

There are two possibilities: 1) A is the hypotenuse: [tex]C \approx 18.74[/tex], 2) A is not the hypotenuse: [tex]C \approx 21.19[/tex]

Step-by-step explanation:

Let be C the remaining side of the triangle. Given that triangle is right-angled and the remaining side can be found by Pythagorean Theorem, there are two options by using the two known sides:

1) A is the hypotenuse

[tex]20^{2} = 7^{2} + C^{2}[/tex]

[tex]C^{2} = 20^{2}-7^{2}[/tex]

[tex]C = \sqrt{20^{2}-7^{2}}[/tex]

[tex]C \approx 18.74[/tex]

2) A is not the hypotenuse

[tex]C^{2} = 20^{2} + 7^{2}[/tex]

[tex]C = \sqrt{20^{2}+7^{2}}[/tex]

[tex]C \approx 21.19[/tex]

What is the y intercept of y= -3x

A (-3,0)
B ( -3,-3)
C (0,0)
D (0, -3)
Please answer ASAP

Answers

Answer:

(0,0)

Step-by-step explanation:

y= -3x

The y intercept is the y value when x =0

Let x =0

y = -3(0)

y = 0

(0,0)

Answer:

C.

Step-by-step explanation:

You can either graph this function to find the y-intercept or set x =0 and solve for y.

Find the value of k ,if x=2 and y=3.Find the equation of 2x+3y=k

Answers

Answer:

k=13

Step-by-step explanation:

substitute x and y

4+9=k

k=13

Answer:

13

Step-by-step explanation:

Plug in the given x and y values: 2(2) + 3 (3) = k

Then multiply 4 + 9 = k

Then add 13 = k

Divide x³+x²+x+1 by x+1

Answers

Answer:

x^2+1

Step-by-step explanation:

x^3+x^2+x+1 / x+1

=(x+1)(x^2+1) / x+1

reduce (x+1) and x+1 and you will get x^2+1

Find an equation, in slope-intercept form, that passes through the point (−4,3) with a slope of −3.

Answers

Answer:

y = -3x - 9

Step-by-step explanation:

Equation of line in point slope form is given as:

[tex]y - y_1 = m(x-x_1) \\

y - 3= - 3\{x - (-4)\}\\

y - 3 = - 3(x + 4)\\

y =- 3x - 12 +3\\

y = - 3x - 9\\ is \: the \: required \: equation \\ [/tex]

Find cos x if sin x =0.82.

Answers

Answer:

cosx= 35. Use Trignometrical identity cosx = √1−sin2x . cos x = √1−1625 = √925 = 35 to be the ...

Missing: =0.82 ‎| Must include: =0.82

Step-by-step explanation:

Which best describes the transformation that occurs from
the graph of f(x) = x² to g(x)=(x-2)²+3

Answers

Answer:

The graph changes from the original position to right 3 units and down 1 unit.

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!

Ray PA is tangent to circle O at point A, PA= 12 units, and the measure of AR is 60°. Answer the following and justify your answer using angle, arc, and special segments relationships with circles,

a) Find the length of the radius of circle O.
b) Find the length of line OP

Answers

Answer:

a) radius = 6.9288 units

b) OP = 13.857 units

Step-by-step explanation:

a)

As PA is tangent to the circle, the angle OAP is 90°, and if the angle of the arc AR is 60°, the angle AOP is also 60°.

So we can find the angle APO with the sum of internal angles of the triangle AOP:

90 + 60 + APO = 180

APO = 30°

Now, we can find the radius AO using the tangent relation of the angle APO, where the opposite side is the radius AO and the adjacent side is AP:

tangent(30) = AO / AP

0.5774 = AO / 12

AO = 0.5774 * 12 = 6.9288 units

b)

To find the length of OP, we can use the Pythagoras' theorem in the triangle AOP:

OP^2 = AO^2 + AP^2

OP^2 = 6.9288^2 + 12^2 = 192.01

OP = 13.857 units


What is the base 8 representation of the number 600?

Answers

Answer:

1130

Step-by-step explanation:

8x75=600

8÷9=72+3

8×1=8+1=9

8×1+1=9

Answer:1130^8

Step-by-step explanation:trust me bro

A 25ft ladder is propped against a storeroom. The angle the ladder forms is 50°. How far up the storeroom does the ladder reach?

Answers

Answer:

This means the store room is 19.15ft up

Step-by-step explanation:

The set up of the question will form a right angle triangle.

The length of the ladder will be the hypotenuse of the triangle and the angle the ladder forms will be the angle of elevation. This angle of elevation will face the opposite side of the triangle which is the height of the storeroom directly.

Using the SOH CAH TOA trigonometry identity,

According to SOH;

Sin∅ = opposite/hypotenuse

∅ is the angle the ladder forms

sin50° = x/25

x = 25sin50°

x = 19.15ft

This means the store room is 19.15ft up

A triangle has sides with lengths of 8 centimeters, 14 centimeters, and 16 centimeters. Is it a right triangle?

Answers

Answer:

No, the triangle is not a right triangle

Step-by-step explanation:

In this question, we are asked to determine if the triangle having the lengths given in the question is a right triangle.

To answer this question, we need to take into consideration a very important property of right angle triangles.

The property is that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two other sides

The hypotenuse is the one with the longest length. Thus, the hypotenuse here is 16 centimeters.

Now let’s have the squares!

The square of the hypotenuse is 16 * 16 = 256

Let’s sum the squares of the other two sides;

(8 * 8) + ( 14 * 14) = 64 + 196 = 260

These squares are not equal so we can conclude that the triangle is not a right triangle

Can you help me find x?

Answers

Answer:

Im 99 percent sure its b or c

Step-by-step explanation:

but wait for the other kid to answer

Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles every 2 hours. What is the equation of a line that models the total miles traveled, y, in x hours after this point?
A.
y = 100x + 3.5
B.
y = 100x – 3.5
C.
y = 50x + 3.5
D.
y = -50x + 3.5

Answers

It’s A because 100 times number of hours is 100x and you add the 3.5 because that’s how many miles we already know he traveled.

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Answers

Answer:

D.

Step-by-step explanation:

So find what two numbers multiply to 72 and add up to 17

9 and 8

(z + 9)(z + 8)

Answer:

D. (z + 9)(z + 8)

Step-by-step explanation:

Let's factor z2+17z+72

z2+17z+72

The middle number is 17 and the last number is 72.

Factoring means we want something like

(z+_)(z+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 17

Multiply together to get 72

Can you think of the two numbers?

Try 8 and 9:

8+9 = 17

8*9 = 72

Fill in the blanks in

(z+_)(z+_)

with 8 and 9 to get...

so (z + 9)(z + 8)

Question 11 (1 point)
Identify the literary device being used - "It's so delightful to be home with a sick child twice in one week."
Blank 1:

Answers

Answer:

no clue bud

Step-by-step explanation:

What is the approximate area of the shaded sector in the circle shown below?
A. 31.7 cm^2
B. 5.76cm^2
C. 2.88cm^2
D. 126.7cm^2

Answers

Answer:it’s 31.7 cm^2

Step-by-step explanation:

The approximate area of the shaded sector is 31.7 cm² (Option A).

To find the area of the shaded sector, we need to calculate the fraction of the entire circle that the sector represents and then multiply it by the area of the whole circle.

The formula to find the area of a sector is given by:

Area of sector = (θ/360) * π * r²

where θ is the central angle and r is the radius of the circle.

In this case, the radius (r) of the circle is given as 11 cm, and the central angle (θ) is given as 30 degrees.

Let's calculate the area of the shaded sector:

θ = 30 degrees

r = 11 cm

Area of sector = (30/360) * π * 11²

             = (1/12) * π * 121

             = π * 10.0833...

Now, we can approximate the value of π as 3.14:

Area of sector ≈ 3.14 * 10.0833...

             ≈ 31.7 cm²

Therefore, the approximate area of the shaded sector is 31.7 cm².

The correct option from the given choices is A. 31.7 cm².

To know more about sector, refer here:

https://brainly.com/question/12051312

#SPJ2

In a quadrilateral, the measure of two opposite angles is the same. Each of the other
two angles measures exactly two times the given angle. Find the measure of each angle
in the quadrilateral.

Answers

Answer:

the two opposite angles equal 45 and the other two who are twice the amount is 90

Step-by-step explanation:

sum of angles in a quadrilateral is 360. Lets name the two equal diagonal angles x that means the equation wil be

x+x+2x+2x=360

8x=360

x=45

so the equal diagonal ones will be 45 and the other two angles will be twice as much so 45x2=90

Complete 8 for 15 points.

Answers

Answer:

756 is evenly divisible by 2, 3, 4, 6, and 9.

Step-by-step explanation:

756 is evenly distributed by the numbers (above).

756/2 = 378756/3 = 252756/4 = 189756/5 = 151.2 756/6 = 126756/8 = 94.5756/9 = 84 756/10 = 75.6 756/25 = 30.24

Please help ASAP! I will mark BRAINLIEST! Please answer CORRECTLY! No guessing!

Answers

Answer:

C. [tex]b^{27}[/tex]

Step-by-step explanation:

Assume b is a number like 3

([tex]3^{9}[/tex])³=19683³=7625597484987

[tex]3^{24}[/tex]=282429536481

B is definitely wrong. Not even going to try.

[tex]3^{27}[/tex]=7625597484987

D is definitely wrong. Not even going to try.

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