Find the missing side. Round to the nearest tenth.

Find The Missing Side. Round To The Nearest Tenth.

Answers

Answer 1

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

1)

Hyp =40

∠48

x = Adj

use CAH since it's got these pieces in it

Cos(48) = x / 40

40* Cos(48) = x

26.76522 = x

x = 26.8  ( rounded to nearest 10th)

2)

∠29

Hyp = 35

Opp = x

use SOH since this problem has those pieces in it

Sin(29) = x / 35

35*Sin(29) = x

16.9683 = x

x = 17.0  (rounded to nearest 10th)

3)

40 = Adj

∠16

Hyp = x

use CAH again

Cos(16) = 40 / x

x = 40 / Cos(16)

x = 41.611

x = 41.6 (rounded to nearest 10th )

4)

∠55

Opp = 35

x = Adj

use TOA

Tan(55) =35/x

x = 35/Tan(55)

x = 24.5072

X = 24.5  ( rounded to nearest 10th)


Related Questions

Find Tan N=
2/5
5/2
3/4
4/3
Will mark brainliest

Answers

2/5 is your answer hope that helps

x is greater than 15 A)x>15 B)x<15 C)x≥15 D)x≤15

Answers

A) x>15
explanation: i like to look at these signs; < & > as whichever one is higher so say 15 is actually higher then x in this example, the “alligator” is eating the higher number. < & > being the alligators mouth.

I’ll mark Brainliest
What’s the total and lateral surface area for the figure?

Answers

Answer:

40

Step-by-step explanation:

I believe that should be right

-3 (w-3) - 9w - 9 = 4(w+2) - 12

HELPPPPP​

Answers

Answer:

w = 1/4

Step-by-step explanation:

Distribute:

-3w + 9 - 9w -9 = 4w + 8 -12

Combine like terms:

-16w = -4

w = 1/4

Answer:

w=1/4

Step-by-step explanation:

-3w+9-9w-9=4w+8-12

-12w=4w+8-12

-12w=4w-4

-12w-4w=-4

-16w=-4

w=-4/-16

w=1/4

A savings account starts with $181.25. After 7 years of continuous compounding at an interest rate, r, the account has $1450. What is the interest rate percentage? Round the answer to the nearest hundredth.

Answers

         Rate of interest by which amount $181.25 becomes $1450 in 7 years by continuous compounding will be 29.71%.

Rule for the continuous compounding: Expression for the final amount comounded continuously is given by,

         Final amount = [tex]Pe^{rt}[/tex]

         Here, P = Principal amount

                    r = Rate of interest

                    t = Duration of investment

Given in the question,

P = $181.25

t = 7 years

Final amount = $1450

Substitute these values in the expression,

[tex]1450=181.25e^{7r}[/tex]

[tex]e^{7r}=8[/tex]

[tex]\text{ln}(e)^{7r}=\text{ln}(8)[/tex]

[tex]7r=2.07944[/tex]

[tex]r=0.2971[/tex]

[tex]r=29.71\%[/tex]

       Therefore, rate of intereset for the investment is 29.71%.

Learn more about continuous compounding here,

https://brainly.com/question/13079114?referrer=searchResults

help me if you real big brain. if not pass by

Answers

Answer:

The area of this shape can not be solved using the information given

Step-by-step explanation:

There is no given side length of any of the shapes.

If one side is given then the whole shape could be solved.

FIND THE AREA (LEAVE EXPLANATION)

Answers

Answer:

40

Step-by-step explanation:

solve for two squares. Square 1: 32. Square 2: 8. answer: 32 + 8

An airport limousine can accommodate up to four passengers on any one trip. The company will accept a maximum of six reservations for a trip, and a passenger must have a reservation. From previous records, 35% of all those making reservations do not appear for the trip.A) If six reservations are made, what is the probability that at least one individual with a reservation cannot be accommodated on the trip?B) If six reservations are made, what is the expected number of available places when the limousine departs?C) Suppose the probability distribution of the number of reservations made is given in the accompanying table.Number of reservations 3 4 5 6Probability 0.09 0.25 0.32 0.34Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X.

Answers

Answer:

a) 0.3191 = 31.91% probability that at least one individual with a reservation cannot be accommodated on the trip.

b) The expected number of available places when the limousine departs is 0.1.

c) [tex]P(X = 3) = 0.09[/tex]

[tex]P(X = 4) = 0.25[/tex]

[tex]P(X = 5) = 0.32[/tex]

[tex]P(X = 6) = 0.34[/tex]

Step-by-step explanation:

For each reservation, there are only two possible outcomes. Either the person appears for the trip, or the person does not. The probability of a person appearing for the trip is independent of any other person. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The expected value of the binomial distribution is given by:

[tex]E(X) = np[/tex]

The company will accept a maximum of six reservations for a trip, and a passenger must have a reservation.

This means that [tex]n = 6[/tex]

35% of all those making reservations do not appear for the trip.

This means that 100 - 35 = 65% appear, so [tex]p = 0.65[/tex]

A) If six reservations are made, what is the probability that at least one individual with a reservation cannot be accommodated on the trip?

This will happen if more than four appear, as the limousine can accommodate up to four passengers on any one trip. So

[tex]P(X > 4) = P(X = 5) + P(X = 6)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{6,5}.(0.65)^{5}.(0.35)^{1} = 0.2437[/tex]

[tex]P(X = 6) = C_{6,6}.(0.65)^{6}.(0.35)^{0} = 0.0754[/tex]

[tex]P(X > 4) = P(X = 5) + P(X = 6) = 0.2437 + 0.0754 = 0.3191[/tex]

0.3191 = 31.91% probability that at least one individual with a reservation cannot be accommodated on the trip.

B) If six reservations are made, what is the expected number of available places when the limousine departs?

The expected number of arrivals is given by:

[tex]E(X) = np = 6*0.65 = 3.9[/tex]

Since the are four places:

4 - 3.9 = 0.1

The expected number of available places when the limousine departs is 0.1.

C) Suppose the probability distribution of the number of reservations made is given in the accompanying table.Number of reservations 3 4 5 6Probability 0.09 0.25 0.32 0.34Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X.

This is the probability of each outcome. So

[tex]P(X = 3) = 0.09[/tex]

[tex]P(X = 4) = 0.25[/tex]

[tex]P(X = 5) = 0.32[/tex]

[tex]P(X = 6) = 0.34[/tex]

Dylan bought 3 identical shirts online for a total cost of $71.83 including a flat rate of $7.99 for shipping, Drag numbers to complete an equation to find
the cost of each shirt, s. Each number may be used only once.
3
7.99
71.83

Answers

Answer:

3s+7.99= 71.83 .

Step-by-step explanation:

since there are 3 shirts you would multiply s by 3 so 3s. To me it looks like 7.99 is the constant and 71.83 is the total including this constant. so putting all of these together in  y=mx+b format you get the equation 71.83= 3s+7.99

hope this helps

Help ASAP giving brainliest

Answers

Answer:

24÷8=3

Step-by-step explanation:

because 24÷8=3

m∠1=119∘ and m∠2=61∘.
What is m∠3?

Answers

Answer:

m∠3 = 119°

Step-by-step explanation:

All the angles must equal 360° when added together. You have two known angles that are right next to each other. If you add m∠1 and m∠2, 119 + 61, it is equal to 180°. This means that m∠3 and m∠4 must be equal to 180° as well and since there are only two lines, it is safe to assume that opposing angles are the same so m∠1 = m∠3 and m∠2 = m∠4.

Answer:

K12 answer

Step-by-step explanation:

the cost of tuition at a local college is $10,000 and increases 4% each year.what is the cost of tuition after 5 years?

Answers

Year 1 = 10 000
Year 2 = 10 000 x 1.04 = $10 400
Year 3 = 10400 x 1.04 = $10 816
Year 4 = 10 816 x 1.04 = $11 248.64
Year 5 = 11 248.64 x 1.04 = $11 698.59

Find the area of the shade region in the shown below.​

Answers

Step-by-step explanation:

rectangle

= 15.3 × (8.2 - 5.7 )

= 15.3 × 2.5

= 38.25

triangle

= 1/2 × (15.3 - 5.1+6.7) × 5.7

= 1/2 × 3.5 × 5.7

= 1/2 × 19.95

= 9, 97

total = 38.25+9.97 = 48.22 ft

Find a number so that 93.4% of it is 107.​

Answers

Answer:

~114.56

Step-by-step explanation:

Because you're asked to find the number so that x% is y, we will have to find that number. The equation in that case would be NUM * 0.934 = 107. Divide both sides by .934 to get an answer of approximately 114.56.

Given that triangle ABC has angle ABC = 90 degrees, AB = 6 cm and BC = 9 cm. Calculate the length of AC in cm to 1 decimal place

Answers

Answer:

AC = 6.7

Step-by-step explanation:

If this is a 90 degree triangle which I am assuming it is you would the Pythagorean theorem c^2 = a^2 + b^2 since bc seems long I am using that as the hypotenuse.

9^2 = 6^2 + b^2

81 = 36 + b^2

81-36 = b^2

45 = b^2

6.7 = b

so AC = 6.7

1/4x + ½ = 2/4x + ¾
what are the steps

Answers

Answer:

x=-1

Step-by-step explanation:

1/4x+1/2=2/4x+3/4

1/4x+2/4=2/4x+3/4

2/4=(2/4x-1/4x)+3/4

2/4=1/4x+3/4

2/4-3/4=1/4x

-1/4=1/4x

-1=x

x=-1

HELP?!? WHAT IS 2 x 2?
Use this if u need points? 2 3 4 10

Answers

The answer to this is 4 and thanks for the points

Answer:

4   bc it is simple math

Step-by-step explanation:

pls give brainliest

Consider the graphs of f(x) and g(x).
ent
f(x)
g(x)
If g(x) = f(x) + k, find the value of k.

Answers

Answer:

K=7

Step-by-step explanation:

hope it helps you

have a wonderful day!!!

Pls answer quick and small explanation quick for brainlessiest answer

Answers

Answer:

Your answer is C.

exponential is to the power of a value and hence c meets the requirements

For the equation, y = 12x, what is the slope of the line?

Answers

the equation for slope is y=mx +b. the M being slope. Which means your slope would be 12. and your constant (b) would be zero.

the slope of (-2, -19) and (-12, 11)

Answers

I think the slope is m=-3 I hope it’s correct

whaeat is 2+3,inweed to thiks for kingergarten plwse help

Answers

Answer:

2 + 3 = 5

Step-by-step explanation:

ones Place Value

2 + 3 = 5

Put the 5 in Ones place

carry  

 2

+  3

= 5

The answer to your question: 2+3=5

21. Which two ratios can be represented by a ratio of 7 to 12?
A the ratio of shells to rocks if there are 7 rocks and 12 shells
B the ratio of shoes to dresses if there are 7 dresses and 12 shoes
c the ratio of shots made to shots taken if 7 out of 12 shots taken are made
D the ratio of sick patients to total patients if there are 7 sick patients and 12 healthy patients
E the ratio of small dogs to big dogs if there are 7 small dogs and 12 big dogs
Page 9
Go to the next page

Answers

Answer:

c the ratio of shots made to shots taken if 7 out of 12 shots taken are made

E the ratio of small dogs to big dogs if there are 7 small dogs and 12 big dogs

Step-by-step explanation:

Ratio of a to b:

The ratio of a to b is given by a divided by b.

A the ratio of shells to rocks if there are 7 rocks and 12 shells

12 shells and 7 rocks, so this ratio is 12 to 7.

B the ratio of shoes to dresses if there are 7 dresses and 12 shoes

12 shoes and 7 dresses, so this ratio is 12 to 7.

c the ratio of shots made to shots taken if 7 out of 12 shots taken are made

7 shots made out of 12 taken, so this ratio is 7 to 12, and c is one of the correct options.

D the ratio of sick patients to total patients if there are 7 sick patients and 12 healthy patients

7 sick patients

7 + 12 = 19 total patients

So this ratio is 7 to 19

E the ratio of small dogs to big dogs if there are 7 small dogs and 12 big dogs

7 small dogs and 12 big dogs, so this ratio is 7 to 12, and e is the other correct option.

Mr benson wrote y=-x+15 as the equation of a line he asked three of his students to write an equation of a non coincident line that is parallel to the line y=-x+15

Answers

The office of a and the one that I have a lot to say I have no clue how I am and

Select the correct answer,
Annette wants to find out which of two toothpaste brands people living in the town of Springville prefer, brand A or brand B. She uses a random
sample to make this generalization: 60% of the population of Springville prefers brand A over brand B. For which random sample would this
generalization be valid?
OA. every third person who walks into one of the neighborhood convenience stores, which stocks several toothpaste brands
OB. every fourth student who attends Annette's school in Springville
OC. every other customer at all the convenience stores in Springville that stock both brand A and brand B
OD. every mother who shops at a convenience store in Springville
Reset
Next

Answers

Answer:

C.)

Step-by-step explanation:

every other customer at all the convenience stores in Springville that stock both brand A and brand B

NO LINKS PLEASE and make sure it's correct

Answers

Answer:

regroup

Step-by-step explanation:

will the contents of a cylindrical can of soup with a 1.5-inch radius and a 5-inch height fit into a pan with a 4-inch radius and 3-inch height?

Answers

Answer:

Answer: The volume of the soup can is less that that of the pan, so the soup will fit in the pan.

Step-by-step explanation:

a. V = s3

V = (7 km)3

V = 7 km × 7 km × 7 km

V = 343 km3

b. V = s3

V = (11 yd.)3

V = 11 yd. × 11 yd. × 11 yd.

V = 1,331 km cu. yd.

a. V = l × w × h

V = 6 m × 2 m × 3 m

V = 36 m3

b. V = l × w × h

V = 5 ft. × 10 ft. × 8 ft.

V = 400 cu. ft.

a. V = πr2h

V = 3.14 × (3 in.)2 × 3 in.

V = 3.14 × 9 sq. in. × 3 in.

V = 84.78 cu. in.

b. V = πr2h

V = 3.14 × (1 m)2 × 4 m

V = 3.14 × 1 m2 × 4 m

V = 12.56 m3

V = s3

V = (2 ft.)3

V = 2 ft. × 2 ft. × 2 ft.

V = 8 cu. ft.

Answer: The capacity of the ice chest is 8 cubic feet.

V = πr2h

V = 3.14 × (1 ft.)2 × 3 ft.

V = 3.14 × 1 sq. ft. × 3 ft.

V = 9.42 cu. ft.

Answer: The volume of the trash can is 9.42 cubic feet.

Closet #1

V = l × w × h

V = 4 ft. × 5 ft. × 8 ft.

V = 160 cu. ft.

Closet #2

V = l × w × h

V = 6 ft. × 3 ft. × 8 ft.

V = 144 cu. ft.

Compare the size of the closets

160 cu. ft. > 144 cu. ft.

Answer: The first closet is larger.

Both the can and the pan are cylindrical shapes. Compare the volumes of the two objects.

Volume of Can

V = πr2h

V = 3.14 × (1.5 in.)2 × 5 in.

V = 3.14 × 2.25 sq. in. × 5 in.

V = 35.325 cu. in.

Volume of Pan

V = πr2h

V = 3.14 × (4 in.)2 × 3 in.

V = 3.14 × 16 sq. in.× 3 in.

V = 150.72 cu. in.

35.325 cu. in. soup can < 150.72 cu. in pan

Answer: The volume of the soup can is less that that of the pan, so the soup will fit in the pan.

Answer:

1.

a. V = s3

V = (7 km)3

V = 7 km × 7 km × 7 km

V = 343 km3

b. V = s3

V = (11 yd.)3

V = 11 yd. × 11 yd. × 11 yd.

V = 1,331 km cu. yd.

2.

a. V = l × w × h

V = 6 m × 2 m × 3 m

V = 36 m3

b. V = l × w × h

V = 5 ft. × 10 ft. × 8 ft.

V = 400 cu. ft.

3.

a. V = πr2h

V = 3.14 × (3 in.)2 × 3 in.

V = 3.14 × 9 sq. in. × 3 in.

V = 84.78 cu. in.

b. V = πr2h

V = 3.14 × (1 m)2 × 4 m

V = 3.14 × 1 m2 × 4 m

V = 12.56 m3

5.

V = s3

V = (2 ft.)3

V = 2 ft. × 2 ft. × 2 ft.

V = 8 cu. ft.

Answer: The capacity of the ice chest is 8 cubic feet.

V = πr2h

V = 3.14 × (1 ft.)2 × 3 ft.

V = 3.14 × 1 sq. ft. × 3 ft.

V = 9.42 cu. ft.

Answer: The volume of the trash can is 9.42 cubic feet.

Closet #1

V = l × w × h

V = 4 ft. × 5 ft. × 8 ft.

V = 160 cu. ft.

Closet #2

V = l × w × h

V = 6 ft. × 3 ft. × 8 ft.

V = 144 cu. ft.

Compare the size of the closets

160 cu. ft. > 144 cu. ft.

Answer: The first closet is larger.

Both the can and the pan are cylindrical shapes. Compare the volumes of the two objects.

Volume of Can

6.

V = πr2h

V = 3.14 × (1.5 in.)2 × 5 in.

V = 3.14 × 2.25 sq. in. × 5 in.

V = 35.325 cu. in.

Volume of Pan

V = πr2h

V = 3.14 × (4 in.)2 × 3 in.

V = 3.14 × 16 sq. in.× 3 in.

V = 150.72 cu. in.

35.325 cu. in. soup can < 150.72 cu. in pan

Answer: The volume of the soup can is less that that of the pan, so the soup will fit in the pan.Step-by-step explanation:

6-
5-
1 -
3-
S
2
7 T
1
0
1
1
1
2
3
1
4.
T
S
T
6
7
8
9
(a) Describe fully the single transformation that maps triangle S onto triangle T.

Answers

Answer:

c=45 +679 =6y=8h

Step-by-step explanation:

tamelas school day is 6 3/4 hours. She has seven classes that are 3/4 hour long. How many hours is Tamela not in class while she is at school

A: 1 1/2
B: 5 1/4
C: 6
D: 18 3/4

Answers

Answer:

A because 6.75 - 5.25 is 1.5

help I keep getting it wrong

Answers

Answer:

what?????????????????????????

Answer:

What do you need help with?

Step-by-step explanation:

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