Determine the unknown angle measures of ADEF.
Round to the nearest degree.
m2D
23.5
m2 =
24.3
D
33.8
F

Determine The Unknown Angle Measures Of ADEF.Round To The Nearest Degree.m2D23.5m2 =24.3D33.8F

Answers

Answer 1

Answer:

m∠D = 46°

m∠F = 44°

Step-by-step explanation:

cos D =base/hypo

cosD =23.5/33.8 = 0.695

so and D = 45.97°

thus angle F = 180-(90+45.97) =44.03°

Answer 2

Using relations in a right triangle, it is found that:

The measure of angle D is of 46º.The measure of angle F is of 44º.

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

In this problem:

The hypotenuse is of 33.8.The side opposite to angle D is of 24.3.The side opposite to angle F is of 23.5.

Hence:

[tex]\sin{D} = \frac{24.3}{33.8}[/tex]

[tex]D = \sin^{-1}{\left(\frac{24.3}{33.8}\right)}[/tex]

[tex]D = 46^\circ[/tex]

[tex]\sin{F} = \frac{23.5}{33.8}[/tex]

[tex]F = \sin^{-1}{\left(\frac{23.5}{33.8}\right)}[/tex]

[tex]F = 44^\circ[/tex]

More can be learned about relations in a right triangle at https://brainly.com/question/26396675


Related Questions

If x varies inversely as p and x=2 when p=4 find the formula connecting them​

Answers

Answer:

x = [tex]\frac{p}{2}[/tex]

Step-by-step explanation:

x ∝ p

x = kp -------(1)

Where k is the constant of proportionality.

Now, x = 2 when p = 4

Putting in the above formula

2 = k(4)

Dividing both sides by 4

k = [tex]\frac{2}{4}[/tex]

=> k = [tex]\frac{1}{2}[/tex]

Putting k in (1)

x = [tex]\frac{p}{2}[/tex]

Now this is the required equation connecting both.

Work out m and c for the line: y = 9 − x

Answers

Answer:

m = -1

c = 9

Step-by-step explanation:

m is slope, which is the coefficient of x

c is the y-int, which is the constant

5 > 2p + 1
The first answer is p=2 what is the other answer?

Answers

Answer:

Let's solve the inequality.

5 > 2p + 1

4 > 2p

2 > p

Some answers are p = 1, p = 0, p = -1, etc.

HELP MEE PLEASEEE!! I WILL GIVE BRAINLIEST!!!

Use the functions f(x) and g(x) to determine which function has the smallest zero and provide its coordinates. f(x) = 2x2 − 14x + 20


x 18 19 20 21 22

g(x) −17 0 19 40 63


A. f(x); (2, 0)

B. f(x); (−5, 0)

C. g(x); (19, 0)

D. g(x); (−17, 0)

Answers

Answer:

A. f(x); (2, 0)

Step-by-step explanation:

First, we determine the zeros of f(x)

[tex]f(x)= 2x^2 - 14x + 20=0\\2(x^2 - 7x + 10)=0\\x^2 - 7x + 10=0\\x^2-5x-2x+10=0\\x(x-5)-2(x-5)=0\\(x-5)(x-2)=0\\x-5=0$ or x-2=0\\x=5 or x=2[/tex]

The zeroes of f(x) are 5 and 2.

Therefore, the smallest zero of f(x) is 2.The zero of g(x) is 19

We can then conclude that f(x) is the function which has the smallest zero.

Its coordinate is (2,0).

Answer:

A. f(x); (2, 0)

Step-by-step explanation:

A bottle contains 255 coins 1/3 of the coins are £1 coins 110 of the coins are 50p coins the rest of the coins are 20p coins work out the total value of the coins contained in the bottle.

Answers

Answer:

£169

Step-by-step explanation:

255/3 = £85

110 x 50 p = 5500 p

255 - 110 = 145 coins which are 20 p

145 x 20 p = 2900 p

5500 p = £55

2900 p = £29

£85 + £55 + £29 = £169

Answer:

I sun 169 ofc

Step-by-step explanation:

Please answer this!! Thanks!!!!!!!!

Answers

Answer:

V = 4186.67

Step-by-step explanation:

Volume of a sphere formula: V = 4/3πr³

We are given r, so just plug it in

V = 4/3π(10)³

And we have our answer!

Answer:

4186.66666 or you can round to 4186.67

Step-by-step explanation:

Use the formula and insert the radius (10) to get your final answer.

PLEASE HELP ME ASAP :(

1. Write the equation in slope intercept form. 4x-3y=12


2. Identify the slope and y-intercept.


3. Graph the line


4. Identify if it is a positive or negative slope.


Can you please help me ASAP ? And explain the steps

Answers

Step-by-step explanation:

y=4/3x+4

y int =4

x int = -1

the graph is an increasing graph line that touch 4 in y and -1 in x

m=4/3

Which process will create a figure that is congruent to the figure shown?

Answers

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

In the motion of an object to the various points without altering its size or shape when its translation takes place in geometry, and all other container throughput shift their vertices or alter their shape.

The scale of the figure doesn't alter the transitions, and  Its statistics remain consistent if the scale and shape of its figure are not modified. In this figure, each point is shifted 2/3 away from the y-axis.

Answer:

The 2nd one. (A translation of 4 units up...)

Step-by-step explanation:

I had a better answer last time in answered this, but a rude user named katie deleted it. (She always does that)

Please help !! ASAP!! BRAINLIEST???

Answers

Answer:

The volume is 8 * 14 * 6 = 672.

PLZZ ANSWER QUICK TIMED a submarine is positioned –1525 feet in relation to sea level. The submarine needs to be –1865 feet below sea level in 20 minutes. Which best represents the rate at which the submarine needs to travel? –169.5 ft/min –17 ft/min 17 ft/min 169.5 ft/min

Answers

Answer:

17ft/min

Step-by-step explanation:

1865-1525 =  340

multiply the rest by 20 and see which gets 340 ft. so the only correct one is 17ft/min

Evaluate the following expression. (-3) exponent 2 a0

Answers

Answer:

(-3)² = 9

Step-by-step explanation:

[tex](-3)^{-2} = \frac{1}{9}[/tex]

Answer:

1/9

Step-by-step explanation:

(-3) ^ -2

The negative exponent means  a^-b = 1/a^b

1/(-3)^2

1/(-3*-3)

1/9

Jada has a stand in the marketplace where she sells ground cumin. Her weekly expenses are $300, and she sells her cumin at a fixed price per kilogram. If she sells 120 kilograms of cumin, her weekly net profit is $600. What is the price of a kilogram of Jada's cumin? How much cumin does Jada have to sell to cover her weekly expenses?

Answers

Answer:

$7.5

40 kg

Step-by-step explanation:

Expenses= $300 per week

120x= 300+600

120x=900

x= 900/120= $7.5 per kg

300/7.5= 40 kg to be sold to cover weekly expenses

what is the area of this title ?

Answers

Answer:

12 in^2

Step-by-step explanation:

A = l*w

   = 2in * 6 in

  = 12 in^2

Answer:

Area = 12 in.²

Step-by-step explanation:

Area = length × width

Where w = 2 and L = 6

So,

Area = 2 × 6

Area = 12 in.²

PLEASE HELP, SOLVE THIS PROBLEM AND GIVE ME THE ANSWER!!!

Answers

Answer:

answer B. -5

Step-by-step explanation:

hello

fg(-4)=f(-4)*g(-4)=(-4-1)(5*16-19*4-3)=-5*(80-76-3)=-5*(1)=-5

hope this helps

Answer: It is B. -5

What is f(x) + f(x) + f(x)?

Answers

Answer:

3fx

Step-by-step explanation:

f(x)+f(x)+f(x)

remove parenthesis: (a)=a

add similar elements: fx+fx+fx

=3fx

Answer: for edge

3f(x)

3x2

12

Don wants to buy 5 baseballs. He has $20. What is the most each baseball can cost?

Answers

Answer:

4 dollars is the highest

Answer:4 Is the highest each baseball can cost

Step-by-step explanation: He has $20 and wants to buy 5 baseballs. This leads the equation to be 20/5. Which, after solving the equation makes the highest cost of each ball $4

What is the y intercept of y=-3x-2? Step by step explanation please help me

Answers

Answer:

Step-by-step explanation:

The slope is 3 and the y-intercept is 2 or (0, 2)

Answer:

The y-intercept of the equation is -2.

Step-by-step explanation:

This equation is in slope-intercept form (y = mx + b). b represents the y-intercept, and m represents the slope.

Sophia has an ear infection. The doctor prescribes a course of antibiotics. Sophia is told to take 500 mg doses of the antibiotic regularly every 12 hours for 10 days. Sophia is curious and wants to know how much of the drug will be in her body over the course of the 10 days. She does some research online and finds out that at the end of 12 hours, about 4.5% of the drug is still in the body. What quantity of the drug is in the body right after the first dose, the second dose, the third dose, the fourth dose (10 points)? When will the total amount of the antibiotic in Sophia’s body be the highest? What is that amount (10 points)? Answer Sophia’s original question: Describe how much of the drug will be in her body at various points over the course of the 10 days (10 points).

Answers

Answer:

see below

Step-by-step explanation:

Dosage= 500 mg

Frequency= twice a day (every 12 hours)

Duration= 10 days

Number of dosage= 10*2= 20

residual drug amount after each dosage= 4.5%

We can build an equation to calculate residual drug amount:

d= 500*(4.5/100)*t= 22.5t, where d- is residual drug, t is number of dosage

After first dose residual drug amount is:

d= 500*0.045= 22.5 mg

After second dose:

d= 22.5*2= 45 mg

As per the equation, the higher the t, the greater the residual drug amount in the body.

Maximum residual drug will be in the body:

d= 20*22.5= 450 mg at the end of 10 days

Maximum drug will be in the body right after the last dose, when the amount will be:

500+19*22.5= 927.5 mg

Write an exponential function in the form y=ab^x that goes through points (0,7) and (5,1701).

Answers

Answer:

y = 7 [tex]3^{x}[/tex]

Step-by-step explanation:

Use the given ordered pairs to find a and b

Using (0, 7 ), then

7 = a [tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ), thus

a = 7

y = 7 [tex]b^{x}[/tex]

Using (5, 1701 )

1701 = 7 [tex]b^{5}[/tex] ( divide both sides by 7 )

243 = [tex]b^{5}[/tex] ( take the fifth root of both sides )

b = [tex]\sqrt[5]{243}[/tex] = 3 , thus

y = 7 [tex]3^{x}[/tex]

Answer: y=7(3)^x

Step-by-step explanation:

Just did it

The laundry has been sorted into dark clothes and light clothes. The number of dark clothes is three more than twice the number of light clothes. The laundry is 60% dark clothes. Choose the equation that best represents this scenario. x over quantity 2x plus 3 equals 40 over 60 x over quantity 2x plus 3 equals 60 over 40 x over quantity 2x plus 3 equals 40 over 100 x over quantity 2x plus 3 equals 60 over 100

Answers

Answer:

x over quantity 2x plus 3 equals 40 over 60

Step-by-step explanation:

Let light clothes=x

Number of dark clothes = 2x + 3,

Dark clothes are 60% of total clothes

Light clothes=100%-60%

=40%

Light clothes / dark clothes = percentage of light clothes / percentage of dark clothes

x / 2x+3 = 40 / 60

x over quantity 2x plus 3 equals 40 over 60

    Expression for this situation will be [tex]\frac{x}{2x+3}=\frac{60}{40}[/tex].

Let the number of dark cloths = y

And the number of light cloths = x

"The number of dark cloths is three more than twice the number of light cloths".

Therefore, equation will be,

y = 2x + 3 ----- (1)

"The laundry is 60% dark cloths"

Equation for this statement will be,

y = [tex]\frac{60}{100}(x+y)[/tex]

y = 0.6x + 0.6y

y - 0.6y = 0.6x

0.4y = 0.6x

[tex]\frac{y}{60}=\frac{x}{40}[/tex]

Now substitute the value of y from equation (1),

[tex]\frac{2x+3}{40}=\frac{x}{60}[/tex]

[tex]\frac{2x+3}{x}=\frac{40}{60}[/tex]

[tex]\frac{x}{2x+3}=\frac{60}{40}[/tex]

  Therefore, expression for this situation will be [tex]\frac{x}{2x+3}=\frac{60}{40}[/tex].

Learn more,

https://brainly.com/question/11495

Who want 20 points answer and it gotta be right

Answers

3 to the power of 14

Step-by-step explanation:

you need to add the exponents together. When you multiply exponents you actually add them.

so [tex]3^{14}[/tex] is your answer.

or 4783969 if you solve the whole thing

i hope this helps

Answer:

3 to the power of 14

Step-by-step explanation:

If 1/8 cup of popcorn makes 6 quarts, how many quarts will 3/8 cup make?

Answers

Answer:

18 quarts, 3 x 6 is 18.

Step-by-step explanation:

What is the point-slope form of a line that has a slope of One-half and passes through point (–7, 2)? PLS HELP

Answers

Answer:

y -2= 1/2(x+7)

Step-by-step explanation:

The point slope form of a line is

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

y - 2 = 1/2(x - -7)

y -2= 1/2(x+7)

Answer:

D)  y - 2 = 1/2(x - (-7))

Step-by-step explanation:

I just took the quiz on edge

PLEASE HELP AS SOON AS POSSIBLE !!

Answers

Answer:

D

Step-by-step explanation:

(160x243)^1/5=8.27

D also equivalates to 8.27

Answer:

so the answer for that is D.

Step-by-step explanation:

160 X 243= 38880

38880^.2 (or 1/5) = 8.27

D. 5 carrot thing 5= 1.379..x 6= 8.27

Q6) Renee buys 5kg of sweets to sell. She pays £10 for the sweets. Renee puts all the sweets into bags. She puts 250g of sweets into each bag. She sells each bag of sweets for 65p. Renee sells all the bags of sweets. Work out her percentage profit.

Answers

Answer:

30% percent profit

Step-by-step explanation:

100 pence in a pound.

1000 grams in a kilogram.

She bought 5000g of sweets.

She pays 10×100=1000 pence.

She put them into 5000÷250=20 bags.

She sells the bags for 65 pence each.

She sells them all for 20×65=1300 pence.

She gets a profit of 300 pence or 3 pounds.

She gets a percent profit of 30%.

Find the size of angle BAC Give your answer to 3 significant figures

Answers

Answer:

angle BAC = 50.5°

Step-by-step explanation:

To find the size of angle BAC, we will follow the steps below;

First, we will use Pythagoras theorem to find side AC

from the diagram, AB = 14 cm       BC = 17 cm

Using Pythagoras theorem,

AC² = AB² + BC²

        = 14² + 17²

         =196 +289

           =485

AC² = 485

Take the square root of both-side

AC = √485

AC = 22 .023

AC = 22.023 cm

angle <B = 90°

Using the sine rule,

[tex]\frac{sin A}{a}[/tex]   =  [tex]\frac{sin B}{b}[/tex]

A = ?

a=BC = 17 cm

B = 90°

b = AC = 22.023 cm

we can now [proceed to insert the values into the formula and then solve for A

[tex]\frac{sin A}{a}[/tex]   =  [tex]\frac{sin B}{b}[/tex]

[tex]\frac{sin A}{17}[/tex]  = [tex]\frac{sin 90}{22.023}[/tex]

cross - multiply

22.023× sinA = 17× sin90

Divide both-side of the equation by 22.023

sin A = 17 sin90 / 22.023

sin A = 0.771920

Take the sin⁻¹ of both-side of the equation

sin⁻¹sin A = sin⁻¹0.771920

A = sin⁻¹0.771920

A≈ 50.5°

Therefore, angle BAC = 50.5°

Which of the following can you determine, when you use deduction and start
from a given set of rules and conditions?
A. None of these
OB. What may be false
C. What may be true
D. What must be true

Answers

D. What must be true is the correct answer

help please :) thank you.

Answers

Answer:

Option (1).

Step-by-step explanation:

In the figure attached,

Houses of three friends Jo, Boris and Carrie are located at the vertices of a triangle.

They want to meet at a place which equidistant from these vertices.

A point in a triangle which is equidistant from the vertices is its Circumcenter.

A circumcenter of a triangle is a point of intersection of perpendicular bisectors of its sides.

Therefore, the next step to find the meeting place should be,

Option (1). They should find the midpoint of the segments which connect their houses.

help asap. is this b or d. im not really sure so i put d. ​

Answers

Answer:

I'm not 100% sure but I'm pretty sure its 'D'

Answer:

the answer is b

Step-by-step explanation:

Sarah drank 75% of a one pint carton of milk at lunchtime. How many ounces of milk were left in the carton? PLZZ help! Will mark as brainliest! PLEASE HELP.

Answers

There's 4oz left
75%=3/4
so 3/4 of 16oz (one pint) is 4.

4 ounces left

75%=3/4

so 3/4 of 16oz is 4.

Kashloopski Iardatsky Fartucci

Other Questions
_____________is dangerous because it binds to the portion of your blood that carries oxygen to your body. A. Acid rain B. The Greenhouse Effect C. Carbon Monoxide D. CFC que accion adicional propondrias para cuidar la biodiversidad nativa Howard was recently released from prison and having a hard time making it. Howard decided to participate in some criminal activity to try to move ahead. Howard's bond with society was not so strong at this point. If we were to apply a theory to Howard's decision to participate in crime, what would it be Find the height of a cylinder of volume 200cm^3 and radius 4 A sequence of transformations is applied to a polygon. Which of the following statements represent a sequence of transformations where the resulting polygon is similar to the original polygon but has a smaller area than the original polygon? Select all that apply.A. a reflection over the yaxis followed by a translation of 10 units down and a dilation about the origin by a scale factor of 2 B. a rotation of 180 counterclockwise about the origin followed by a dilation about the origin by a scale factor of 5 2 C. a dilation about the origin by a scale factor of 2 3 followed by a rotation of 90 counterclockwise about the origin and a translation 5 units left D. a dilation about the origin by a scale factor of 5 7 followed by a reflection over the yaxis and a dilation about the origin by a scale factor of 3 4 The purpose breeding experiment is to develop ____________ plants with flowers expressing a new combination of form and shape. what is 7/9 x 5 2/5 please! Assuming the temperature of the system is 20 C the atmospheric pressure is 0.998 atm, and the total volume collected in the balloon is 0.28 L, calculate the number of moles of H2 collected in the ballot. This is the actual yield. Use the dalton's law of partial pressure to determine the partial pressure of H2 in the balloon. The vapor pressure of water is 20 Cis 17.5 mmHg Nielson Motors is considering an opportunity that requires an investment of $1,000,000 today and will provide $250,000 one year from now, $450,000 two years from now, and $650,000 three years from now. If the appropriate interest rate is 15%, then Nielson Motors should Hannah Roberts owns and operates Hannah's Pool Service Company. On January 1, Hannah Roberts, Capital had a balance of $309,170. During the year, Hannah invested an additional $22,040 and withdrew $39,010. For the year ended December 31, Hannah's Pool Service Company reported a net income of $55,080. Prepare a statement of owner's equity for the year ended December 31. Hannah's Pool Service Company Statement of Owner's Equity For the Year Ended December 31. The teacher presents sentences to the class and asks them all to repeat, firstly as a group and then individually with the teacher providing feedback on accuracy and pronunciation. The approach is teacher led and focuses largely on repetition of core structures and __________ not only in the classroom but also in l__________ where available. What tone does Nikolai Gogol use in "The Nose"? Which expression is equivalent to the following complex fraction? StartFraction x Over x minus 3 EndFraction divided by StartFraction x squared Over x squared minus 9 EndFraction StartFraction x minus 3 Over x EndFraction StartFraction x + 3 Over 1 EndFraction StartFraction x + 3 Over x EndFraction StartFraction x Over x + 3 EndFraction Rural areas have _____ of development. Express the following ratio in its simplest form 5:20 Module 8. Sequences and Series Sophia has an ear infection. The doctor prescribes a course of antibiotics. Sophia is told to take 500 mg doses of the antibiotic regularly every 12 hours for 10 days. Sophia is curious and wants to know how much of the drug will be in her body over the course of the 10 days. She does some research online and finds out that at the end of 12 hours, about 4.5% of the drug is still in the body. What quantity of the drug is in the body right after the first dose, the second dose, the third dose, the fourth dose (10 points)? When will the total amount of the antibiotic in Sophias body be the highest? What is that amount (10 points)? Answer Sophias original question: Describe how much of the drug will be in her body at various points over the course of the 10 days (10 points). You purchased a machine for $ 1.15 million three years ago and have been applying straight-line depreciation to zero for a seven-year life. Your tax rate is 40 %. If you sell the machine today (after three years of depreciation) for $ 793 comma 000, what is your incremental cash flow from selling the machine? g What fitness gram skill would you do to increase your cardiovascular endurance? what is the sensory details of the English class is fun A company using the periodic inventory system has inventory costing $142 on hand at the beginning of a period. During the period, merchandise costing $432 is purchased. At year-end, inventory costing $400 is on hand. The cost of goods sold for the year is