A triangular fence is built with sides each of length 15 m, 14 m, and 24 m, respectively. To the
nearest degree, what is the measure of the smallest angle made by the fence?

Answers

Answer 1

9514 1404 393

Answer:

  33°

Step-by-step explanation:

The law of cosines tells you ...

  a² = b² +c² -2bc·cos(A)

Solving for A, we get ...

  A = arccos((b² +c² -a²)/(2bc))

  A = arccos((15² +24² -14²)/(2·15·24)) = arccos(605/720)

  A ≈ 32.8305°

The smallest angle is about 33°.

A Triangular Fence Is Built With Sides Each Of Length 15 M, 14 M, And 24 M, Respectively. To Thenearest

Related Questions

If k=9 and x=5, find the value of the expression:
2k - X

Please hurry

Answers

Answer:

[tex]\huge\boxed{13}[/tex]

Step-by-step explanation:

= 2k - x

Given that k = 9, x = 5

= 2(9) - 5

= 18 - 5

= 13

[tex]\rule[225]{225}{2}[/tex]

Hope his helped!

~AH1807

The slope of the line shown below is 1/2

Someone Please Help Me

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 2

Explanation:

Remember Rise/Run

1/2

So if they went "Run" 4 units

then the equivalent to 1/2 is 2/4

Therefore the value of a is 2!

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Plz help this is 400 points. Nancy bought a Reuben sandwich and received her change in several coins. The cashier handed Nancy 2 half dollars, 3 quarters, 4 dimes, 4 nickels, and 1 penny. How much money did Nancy get in change?

Answers

Answer:

2.35

Step-by-step explanation:

2x50=100

3x25=75

4x10=40

4x5=20

100+75+40+20=2.35

- Adrian's car gets about 12.5 kilometers per liter. He is planning a 1,600 kilometer trip.

a) About how many liters of gas should Adrian plan to buy? Round your answer to the nearest liter.

b) At an average price of $0.90 US per liter, how much should Adrian expect to spend for gas?​

Answers

Answer:

[tex]\Large \boxed{\sf a)\ 128 \ liters \ \ \ b)\ \$ \ 115.20}[/tex]

Step-by-step explanation:

a) distance/unit rate = 1600/12.5 = 128

b) liters of gas × unit price = 128 × 0.90 = 115.2

Answer:

a) 128 liters

b) $ 115.2

Step-by-step explanation:

Part a)

12.5 km = 1 liter

1 km = 1/12.5 liters

Multiplying both sides by 1,600

1600 km = 1600 / 12.5 liters

1600 km = 128 liters

Part b)

1 liter = $ 0.90

128 liters = 128 * 0.90

128 liters = $ 115.2

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Find z. Just write the number. Answer should be a whole number. PLS HELP DUE IN 10 MINS PLS

Answers

Answer:

z=13

Step-by-step explanation:

What is equivalent to 4,000 centimeters? A. 4 meters B.40 meters C.400 meters D. 40,000 meters

Answers

Answer:

B. 40 meters

Step-by-step explanation:

there are 100 cm in a meter

we can divide 4,000 by 100 to see how many meters are equivalent to 4,000 cm.

4,000/100 = 40

Therefore, the answer is B. 40 meters

hope this helps :)

PLS HELP WILL MARK BRAINLEST

Answers

Answer:

uhhhhhhhhh help with what ?

2.952 + 39.24 =
A: 42.192
B: 68.76
C: 6.876
D: 687.6
E: 36.288
F: 42.76​

Answers

Answer:

The answer to this question is A

Answer:A:42.192

Step-by-step explanation:

line them up by the decimals and place value

39.24

+2.952

add a zero onto 39.24 to line them up correctly

39.240

+2.952

then add to get an answer of

A:42.192

Write an expression that is equivalent to 30(x + y + 1)

Answers

30(x+y+1)
Well you can simply just distribute and it’s an equivalent expression.
So
30x+30y+30
30x+30y+30
hope this helps

Quadrilateral GHIJ is dilated by a scale factor of 22 to form quadrilateral G'H'I'J'. What is the measure of side H'I'?

Answers

Answer:

[tex]H'I = 48[/tex]

Step-by-step explanation:

Given

See attachment for complete question.

From the attachment, we have:

[tex]GH=16.5[/tex]

[tex]HI =24[/tex]

[tex]IJ = 17[/tex]

[tex]JG =32.2[/tex]

[tex]k = 2[/tex] --- Scale factor

Required

Find H'I

The corresponding side of H'I is HI.

So:

H'I is calculated as:

[tex]H'I = k * HI[/tex]

This gives:

[tex]H'I = 2 * 24[/tex]

[tex]H'I = 48[/tex]

Answer I to j is 42

Step-by-step explanation:

List the containers from least to greatest: 1.73, 2.061, 1.59, 2.1

Answers

1.59, 1.73, 2.061, 2.1

HELP ME PLS ITS URGENT .. !❗❗❗❗❗❗❗❗❗❗❗❗❗
The commuting distances, in miles, of 10 employees were used to make the box plot shown above. Which of the sets of distances below matches the given box plot?
A.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 30, 45, 45

B.
Commuting Distances: 10, 15, 15, 20, 20, 30, 30, 30, 45, 45

C.
Commuting Distances: 10, 15, 20, 20, 20, 20, 30, 30, 45, 45

D.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 45, 45, 45

Answers

Answer:

A the answer is A ^w^ hope this helps

A worker at a mill is loading 8 lb bags of flour into boxes to deliver to a local warehouse. Each box holds 5 bags of flour. If the warehouse orders 2 tons of flour how much are needed to fulfill the order?

Answers

Answer:

100 boxes i think :))

Step-by-step explanation:


Kari is baking cookies. She uses 15 cups of flour to bake 6 batches of cookies. How many cups of flour does she use for each batch?

Answers

Answer:

Step-oby-step explanation:

Someone help me please

Answers

Answer:

15.66 cm

Step-by-step explanation:

180-66.4=113.6°

113.6÷360=0.315555555, which equals 31.55555% of the circumference

2x3.14x7.9=49.612 would be the entire circumference.

So...

31.5555555% of 49.612=15.6554 cm

For every 5 pounds of tomatoes ordered, the restaurant orders 9 pounds of onions. If Everly orders
108 pounds of onions, how many pounds of tomatoes will she need to order?
Type or write your answers in the box below.

Answers

Answer:

[tex]\left[ 60- pounds][/tex]

Step-by-step explanation:

Ratio of tomatoes to onions = 5:9

so now it will be

5x: 108

we can solve it by doing this

x = 108/9

x = 12

so we multiply

5*x = 5x

5*12 = 60

She would need 60 pounds

5x: 108
We can do this
x=12
So we have to multiply to find the answer
5*x= 5x
5*12=60

Which function is shown in the graph below?
y= 22-2 + 3
y = 2X+2+3
y = 2X-3+2 Y=2^x+3+2

Answers

Answer:

B 2^x+2 +3

Step-by-step explanation:

hope this helps :)

The function that matches the graph and the given points (7, 0) and (-8, 5) is: y = 2X + 2 + 3. (option b)

This function seems to have a typo, as it simplifies to y = 23, which is a constant value and does not depend on the variable x. This means the graph would be a horizontal line at y = 23 and would not pass through the points (7, 0) and (-8, 5).

y = 2X + 2 + 3

This function can be simplified to y = 2X + 5. Evaluating the points (7, 0) and (-8, 5) in this function:

For (7, 0):

y = 2 * 7 + 5

y = 14 + 5

y = 19

For (-8, 5):

y = 2 * (-8) + 5

y = -16 + 5

y = -11

y = 2X - 3 + 2 Y = 2ˣ + 3 + 2:

It seems there is a typo in this option with "Y" being capitalized. Assuming it is meant to be y, we have two separate functions:

a. y = 2X - 3 + 2

b. y = 2ˣ + 3 + 2

a. For y = 2X - 3 + 2:

Evaluating the points (7, 0) and (-8, 5):

For (7, 0):

y = 2 * 7 - 3 + 2

y = 14 - 3 + 2

y = 13

For (-8, 5):

y = 2 * (-8) - 3 + 2

y = -16 - 3 + 2

y = -17

b. For y = 2ˣ + 3 + 2:

Evaluating the points (7, 0) and (-8, 5):

For (7, 0):

y = 2⁷ + 3 + 2

y = 128 + 3 + 2

y = 133

For (-8, 5):

y = 2⁻⁸ + 3 + 2

y ≈ 0.004 + 3 + 2

y ≈ 5.004

To know more about function here

https://brainly.com/question/28193995

#SPJ2

m_VSR =
Help meeeeeeeee

Answers

Answer:

80 degrees

Step-by-step explanation:

A plane flying horizontally at an altitude of 1 mile and a speed of 510 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2 miles away from the station. (Round your answer to the nearest whole number.) mi/h

Answers

Answer:

442 miles

Step-by-step explanation:

Given

To properly solve this question, I illustrate some given parameters using attached image

From the image, apply Pythagoras theorem

[tex]x^2 + 1^2 = y^2[/tex]

Differentiate w.r.t time (t)

[tex]2x\frac{dx}{dt} + 0 = 2y\frac{dy}{dt}[/tex]

[tex]2x\frac{dx}{dt} = 2y\frac{dy}{dt}[/tex]

Divide both sides by 2

[tex]x\frac{dx}{dt} = y\frac{dy}{dt}[/tex]

From the question, we have that the plan travels are 510mi/h.

This implies that:

[tex]\frac{dx}{dt} = 510mi/h[/tex]

So, we then calculate the value of x when the distance (y) is 2mi i.e.:

[tex]y = 2mi[/tex]

Apply Pythagoras theorem

[tex]x^2 + 1^2 = y^2[/tex]

[tex]x^2 + 1^2 = 2^2[/tex]

[tex]x^2 + 1 = 4[/tex]

[tex]x^2 = 4-1[/tex]

[tex]x^2 = 3[/tex]

[tex]x = \sqrt 3[/tex]

So, the expression becomes:

[tex]x\frac{dx}{dt} = y\frac{dy}{dt}[/tex]

[tex]\sqrt 3 * 510 = 2* \frac{dy}{dt}[/tex]

[tex]\frac{\sqrt 3 * 510}{2} = \frac{dy}{dt}[/tex]

[tex]\sqrt 3 * 255 = \frac{dy}{dt}[/tex]

[tex]\frac{dy}{dt} = 255\sqrt 3[/tex]

[tex]\frac{dy}{dt} = 255 * 1.7321[/tex]

[tex]\frac{dy}{dt} = 441.655[/tex]

[tex]\frac{dy}{dt} = 442[/tex]

Hence, the distance is 442 miles

Only need help 4 to 8 please Please help me my sister in the hospital and I don’t know how to do this type of homework I’m trying my best :( pray for my sister please

Answers

Answer:

I'm so sorry for ur sister

I need help with this problem??!?!

Answers

Answer:

155

Step-by-step explanation:

<MEY= <PEX because they are vertical angles

<PEY = 180 because it is a straight angle, so 180-25 = 155

Answer:

155

Step-by-step explanation:

yup

what is the name of this figure plz help

Answers

its a triangle no? just  3D

The answer is Triangular prism

A rectangular prism has a volume of 80 m3. What is the length of the rectangular
base if it has a height of 10 m and width of 2 m?

Answers

the length will be 4 m.

Hey there!

The answer is 4 meters, or 4 m.

The formula for volume is lwh, or Length * Width * Height, so we can set up an equation plugging in the values we know:

lwh = V

l(2)(10) = 80

Simplify:

20l = 80

Divide both sides by 20:

l = 4

Have a terrificly amazing day! :)

John bought a car for $65.000. If the value depreciates by 8% each year,how much will the car be worth at the end of two years?​

Answers

Answer:

$546000

Step-by-step explanation:

($65000×8%)(2)

Marks of 12 students in a unit test are given as 4, 21, 13, 17, 5, 9, 10, 20, 19, 12, 20, 14. Assume a mean and calculate the arithmetic mean of the data. Assume another number as mean and calculate the arithmetic mean again. Do you get the same result? Comment​

Answers

hope this helps you...

.....

mean = 13.67

Step-by-step explanation:

observations = 4, 21, 13, 17, 5, 9, 10, 20, 19, 12, 20, 14

mean = sum of observations ÷ numbers of observations...........................................sum of observation = 4+21+13+17+5+9+10+20+19+12+20+14= 164

numbers of observation = 12

mean = 164 ÷ 12 = 13.67

Solve for x in the triangle. Round your answer to the nearest tenth

Answers

Answer:

9.1

Step-by-step explanation:

Tangent 33=x/14

x=14*Tan 33

x=9.1(nearest tenth)

pls help! the function g is defined as follows for the domain given
g(x)=1-2x domain={-3,-1,2,4}
write the range of g using set notation then graph g

Answers

Answer:

somebvody come get her-

Step-by-step explanation:

:D

Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a​ girl, but assume that the method has no​ effect, so the probability of a girl is 0.5. Assume that the groups consist of 43 couples. Complete parts​ (a) through​ (c) below.
a. Find the mean and the standard deviation for the numbers of girls in groups of 43 births.
The value of the mean is__ ​(Type an integer or a decimal. Do not​ round.)
The value of the standard deviation is __. ​(Round to one decimal place as​ needed.)
b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high.
Values of ___ girls or fewer are significantly low. ​(Round to one decimal place as​ needed.)
Values of ___ girls or greater are significantly high. (Round to one decimal place as​ needed.)
c. Is the result of 32 girls a result that is significantly​ high? What does it suggest about the effectiveness of the​ method?
The result is/is not significantly​ high, because 32 girls is greater than/equal to/less than ___ girls. A result of 32 girls would suggest that the method is not effective/is effective.​(Round to one decimal place as​ needed.)

Answers

Answer:

A) Mean = 21.5

Standard deviation = 3.3

B) - Values of 14.9 girls or fewer are significantly low.

- Values of 28.1 girls or higher are significantly high

C) - The result is significantly​ high, because 32 girls is greater than 28.1 girls

-A result of 32 girls would suggest that the method is effective.

Step-by-step explanation:

A) We are given;

Number of couples; n = 43

Probability it is a girl; p = 0.5

Formula for mean is;

Mean; x¯ = np

x¯ = 43 × 0.5

x¯ = 21.5

Formula for standard deviation is;

SD = √(np(1 - p))

SD = √(43 × 0.5 × (1 - 0.5))

SD = √(43 × 0.5²)

SD ≈ 3.3

B) range rule of thumb is that the values are usually within 2 standard deviations from the mean.

Thus, we have;

x¯ ± 2SD

This gives;

21.5 ± 2(3.3)

That is;

21.5 + 6.6 and 21.5 - 6.6

To get; 28.1 and 14.9

This means that;

- Values of 14.9 girls or fewer are significantly low.

- Values of 28.1 girls or higher are significantly high

C) If the result is 32,it doesn't fall in between 14.9 and 28.1. As a matter of fact it is higher than 28.1, therefore we can say it is significantly high

- A result of 32 girls would suggest that the method is effective.

Answer each question. Assume x>0. a. What percent of 8x is 5x? 5x is % of 8x. b. What is 65% of 80x? 65% of 80x=.


I will give 100 points

Answers

since both numbers have an x, the first question might as well be asking 5 is what % of 8.

This can be found using division, 5/8=0.625 This also meant that the answer is 62.5 %

For the second question, to find the answer, you just gave to multiply the 2 numbers.

65%*80x=52

Done!

Solve for x. 5a/x = 5b/ x-1

Answers

Answer:solve for x 5a/x = 5b/ x-1 - 11261842. ... out the denominators by multiplying both sides by the bottom, you can then factor to find X= a / (a-b).

Step-by-step explanation:

Other Questions
Suppose that it has just been projected that, because of a number of technological innova- tions, your firm will need 20 percent fewer clerical employees within the next three years. There are currently 122 clerical positions in the company, split between three departments of equal size. Retirements at this level are projected to be roughly 2 percent per year. Annual vol- untary turnover and involuntary turnover for Department A is 2 percent and 5 percent, respectively; Department B is 3 percent and 3 percent; and Department C is 5 percent and 0 percent. Do you project a labour shortage or surplus in the next three years for clerical positions Match the following.1. any substance that kills germs 2. drugs that attack specific bacteria 3. substance that attacks fungi 4. chemical that destroys pathogens inside the body antibioticsgermicideanti-infective antifungal agents Can myths be used to harm society ? the arithmetic sequence ai is defined by the formula: a1= 2 ai= ai - 1 -3 find the sum of the first 335 terms in the sequence Need an answer before 1:59 tonight. Therefore, they could have existed on earth and fueled chemical evolution. In your own words describe this concept. what is the gratest common factor of 36 and 90 You are the VP of Marketing at Stauffer Foods and you learn that the puddings packaged desserts line from General Foods (GF) is available for acquisition. This division produces successful products like Pudding Pops, Instant Pudding, and Pudding in a Cup. You make some of assumptions about this line. Which assumption would you not make 1. What is structure A?2. During which numbered step(s) (#1-6) is a restriction enzyme used?3. Which structure (A, B or C) shows recombinant DNA?4. Which structure (A, B, C, D) shows a transgenic organism? Is abortion justifiable? (I have to write an argumentative essay and need people's opinions) How far from the Centre of a circle ofradius 3 Sem's a chordChord 2.semlong True or False: Disease in the circulatory system does not affect other organ systems, such as the muscular system. *TrueFalse 63 73 = 423 is this correct 2x^2 + 9x + 4 = 0 PLEASE HELP! I WILL MARK AS BRAINLIEST Find the value of x in the isosceles triangle shown. Natural Evil is the suffering of innocent people which is caused by human action.true or false Given f(x) = 6x 9, find the value of f(-8). (NO LINKS!!!!!!!!!!!!!!!!!!) 25 POINTS What term best describes powerful nations creating large empires by controlling smaller, weaker nations?KickbackConservationismImperialismIsolationism PLEASE HELP ME 30 points!!!Multiple ChoiceEighteen students in a class play baseball. Seventeen students in the class play basketball. Thirty students in the class play either or both sportsSelect the Venn diagram that shows the number of students who play basketball and baseball. Question 2 of 10If data set A has a larger standard deviation than data set B, data set A ismore spread out than data set B.A. TrueB. FalseSUB