Two angles of a triangle measure 37º and 54° respectively. Is this triangle acute, right or
obtuse?

Answers

Answer 1
Hello! I believe the answer you are looking for is acute.


the sum of interior angles for a triangle is 180°

so 54°+37°+x°=180

x=89°

since x does not equal 90° or above it is acute. (90° would make it a right triangle and larger than that would make it obtuse)

Related Questions

Josh calculated the mean absolute deviation of the points he earned throughout the year in four of his classes: science math Spanish and art. Science: MAD of 1.14, Math: of 1.6, Spanish: MAD of 1.2 Art: MAD of 1.93 In which class were his scores the closest together?

Answers

Answer:B

Step-by-step explanation: Because the  science math Spanish and art. Science: MAD of 1.14, Math: of 1.6, Spanish: MAD of 1.2 Art: MAD of 1.93 In which class were his scores the closest together

Answer:

spanish

Step-by-step explanation:

Problem Situation: Gabi buys tickets to the movies.
She buys 1 adult ticket for $14 and 3 youth tickets.
She pays a total of $35.
What is the cost of each youth ticket?
Complete the equation to represent this situation.
The letter t represents the cost of a youth ticket.
iti
t + 14 =

Answers

Answer:

each youth ticket costs $7

Explanation:

Let the cost of each youth ticket be "y"

Solve for y:

$14 + 3y = $353y = $35 - $143y = $21y = $7

Answer:

t = 7

Step-by-step explanation:

total cost = 35

price per adult = 14x -> only 1 adult so 14(1) = 14

35 = 14(1) +3t

35-14 = 3t

21 = 3t

t=7

Please solve with explanation high points

Answers

Answer:

Step-by-step explanation:

(x+y)/2 - (x-y)/6 = 16

x/3 + (x+2y)/3 = 14

Multiply first equation by 6

3(x+y) - (x - y) = 96

2x + 4y = 96

x + 2y = 48       (A)

Multiply second equation by 3

x  + x + 2y = 42

x + y = 21         (B)

Subtract  A - B:-

y = 27

So:

x + 27 = 21

x = -6.

The quadratic relation

is f(x) = a(x - 27)(x + 6)

=   a(x^2 - 21x - 162)     where a is some constant

Vertex form:

f(x) = a[(x - 10.5)^2 - 110.25 - 162]  

f(x)  = a[(x - 10.5)^2 - 272.25]

f(x) = a[(x - 10.5)^2 -  272.25a.

if sid has 15 mangoes and sera has 6 apples , what is the total number of fruits with sidra ?
[tex] \\ \\ \\ [/tex]
thankyou ~​

Answers

[tex] \huge \mathfrak \red{HeY \: ThErE♡}[/tex]

Given,

No. of mangoes sid has = 15

No. of apples sera has = 6

Therefore, we gonna add them-,-

Total no. of fruits Sidra will have = 15 + 6 = 21

Therefore,Sidra will have 21 fruits.

[tex] \huge \mathfrak \red{HoPe \: It \: HeLpS♤}[/tex]

A coin is flipped 8 times. Find the probability of the event: exactly 5 heads a. 0.625 b. 0.03125 c. 0.219 d. 0.0039

Answers

The probability of the event of getting exactly 5 heads in 8 tosses of a coin(assuming unbiased coin) is given by: Option C: 0.219 (approximately).

How to find that a given condition can be modeled by binomial distribution?

Binomial distributions consists of n independent Bernoulli trials.

Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining binomial distribution with parameters n and p, then it is written as

[tex]X \sim B(n,p)[/tex]

The probability that out of n trials, there'd be x successes is given by

[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]

The expected value and variance of X are:

[tex]E(X) = np\\ Var(X) = np(1-p)[/tex]

For this case, we've got:

A coin is flipped 8 times.To find: P(getting exactly 5 heads)

Each coin flip is a bernoulli distribution as it has two possible outcomes (assuming any other outcome like coin landing standing straight etc ignored). Take success = getting head in a flip, and failure = not getting success= not getting head = getting tail as the outcome of the flip.

Now, each of those 8 flips are independent in terms of result of each other (assuming coin stays unbiased).

If we take:

X = number of heads out of those 8 flips = number of successes in those 8 bernoulli trials, then:

[tex]X \sim B(n = 8, p)[/tex]

where p is the probability of success = P(Getting head in an unbiased coin with head or tail as only possible outcomes) = 1/2 = 0.5 (as head can come in 1 way, and total outcomes is 2, all equally likely).

Thus, we get:

[tex]X \sim B(n = 8, p=0.5)[/tex]

Now, P(Exactly 5 heads in those 8 flips) = P(X = 5)

Using the probability function of the binomial distribution, we get:

[tex]P(X = 5) = \: ^8C_5(0.5)^5(0.5)^{8-5} = \dfrac{8\times 7\times 6\times 5\times 4}{5 \times 4 \times 3\times 2 \times 1} \times (0.5)^8 \approx 0.219[/tex]

Thus, the probability of the event of getting exactly 5 heads in 8 tosses of a coin(assuming unbiased coin) is given by: Option C: 0.219 (approximately).

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Hii can you help me? 6/2(1+2)
I really stink at math :(

Answers

Answer:

6/2(1+2)

First lets simplify whats in the parentheses

6/2(3)

So thats 6/2 * 3

6/2 = 3

3*3 =

9

Answer:

9

Step-by-step explanation:

first, you do (1+2) which is 3 and then you do 6/2 which is 3 then 3x3 is 9

Help help help math math

Answers

Answer:

5a + 1

Step-by-step explanation:

3a + 2a = 5a

2 - 1 = 1

So now we rewrite the problem.

5a + 1

combine like variables and combine whole numbers

2+3a-1+2a

2-1 is 1

and 3a+2a is 5a

so this is 5a+1

Hope this helped

The hopper bin in the picture below is modeled by the two-dimensional figure beside it. The hopper bin is
composed of a cylinder, and 2 EQUAL cones. Let d be the center of the base of the cone.
52° cylinder cones
The diameter of the hopper is 36 ft and the height of the cylindrical portion is 20 ft. The measure of the acute
angle formed by the slant height of the cone and its base is 52°, determine and state, to the nearest cubic foot,
the volume of the hopper bin.
The hopper bin was constructed to hold a maximum of 500,000 pounds of feed. If feed weighs 22 pounds per cubic foot, can the carnival tent be filled to 85% of its volume and not exceed the weight limit? Justify your
answer.

Answers

The volume of the hopper bin is the amount of feed in it

The volume of the hopper bin is 35974 cubic feetThe carnival tent can be filled to 85% of its volume and not exceed the weight limit

The volume of the hopper bin

The given parameters are:

Height of cylinder, H = 20 ftDiameter of cylinder, D = 36 feetAngle, θ = 52°

Start by calculating the radius (r) of the cones.

r = D/2 -------- because the cones and the cylinder have equal diameters.

So, we have:

r = 36/2 = 18

The height (h) of the cones is:

tan(θ) = h/r

This gives

tan(52) = h/18

Make h the subject

h = 18 * tan(52)

Evaluate

h = 23.04

The volume is then calculated as:

Volume = Volume of cylinder + 2 * Volume of cone

This gives

Volume = πr^2H + 2 * 1/3πr^2h

Volume = πr^2H + 2/3πr^2h

Factor out πr^2

Volume = πr^2(H + 2/3h)

Substitute known values

Volume = 3.14 * 18^2 * (20 + 2/3 * 23.04)

Evaluate

Volume = 35973.85 cubic feet

Hence, the volume of the hopper bin is 35974 cubic feet

The weight limit of the hopper bin

The given parameters are:

Maximum weight = 500000 poundsFeed weight = 22 pounds per cubic feet

For a feed that weighs 22 pounds per cubic feet, the weight of the hopper bin would be:

Weight = 22 * 35974 pounds

Weight = 791428 pounds

At 85% full, the weight wuld be:

Weight = 85% * 791428 pounds

Weight = 672713.8 pounds

672713.8 pounds is greater than the weight limit of 500000 pounds.

Hence, the carnival tent can be filled to 85% of its volume and not exceed the weight limit

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Easy functions giving brainlest

Answers

With the first question, the answer is c
Y(x)=3x-1
Anywhere we see x will be replaced with 5
Y(5)= 3(5) -1
Y(5)=15-1
Y(5)= 14

2.d(3)=45t
So putting t= 3
We have d(3)=45(3)
D(3)= 135


4.the answer is a
5. The answer is E

Please explain how to solve these!

Answers

Step-by-step explanation:

11.

As all the exterior angles of a pentagon add up to 360, [ because exterior angle of a polygon = n(360/n) where n = no. Of sides, As the number of sides in a pentagon is 5, n=5. Thus, the sum of exterior angles of a pentagon = 5(360°/5) = 360°.]

THEN,

56 + 2x + 85 + 57 + 4x = 360

6x + 198 = 360

6x = 360 - 198

X = 162/6 = 27

Ans : x = 27

12.

Let the missing angle be x,

As we know that all exterior angles in a pentagon add up to 360 ( Write the same thing written above),

Then,

83 + 83 + 26 + 46 + x = 360

238 + x = 360

X= 360 - 238

X = 122

Answer : the fifth exterior angle = 122°

Hope this helps

If the probability that a person will die in the next year is 782/100000, what is the probability that the person will not die in the next year?
A. 0.00365
B. 99635
C. 0.99635
D. 0.99218

Answers

The answer is D) 0.99218

The probability that the person will not die in the next year is approximately 0.99218.

Option D is the correct answer.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

The probability that a person will die in the next year is 782/100000.

To find the probability that the person will not die in the next year, we can subtract the probability of dying from 1, since the sum of the probabilities of dying and not dying is always 1.

1 - 782/100000 = 99218/100000

This fraction can be simplified by dividing both the numerator and the denominator by their greatest common factor, which is 2:

99218/100000

= 49609/50000

This fraction can be converted to a decimal by dividing the numerator by the denominator:

= 49609/50000

= 0.99218

Therefore,

The probability that the person will not die in the next year is approximately 0.99218.

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If you travel 20 kilometers in 29 minutes, how fast are you going in meters per second?

Answers

Answer:

~12 meters per second is your answer

Step-by-step explanation:

You need to do these specific things in order to convert.

Kilometers to meters - Multiply by 1000

Minutes to Seconds - Multiply by 60.

_______________________________________________________

First, do 20 kilometers multiplied by 1000

20 x 1000 = 20,000 meters

Do 29 minutes multiplied by 60.

29 x 60  = 1,740 seconds

_______________________________________________________

Now that we have everything converted, you need to divide it to find the speed.


Speed is Distance over Time.

20,000 meters / 1,740 seconds = Speed

Do 20,000 divided by 1,740

11.494252873563218390804597701149 That is your number.

You need to round that to the nearest whole number.

~12 meters per second is your answer

What is the LCD of 1/9,1/27,8/45
HELP ASAP PLEASE

Answers

to get the LCD we should start by doing a quick prime factoring of each denominator, as you see in the picture below.

the factors in red are the common factors to all values, and they are used in the LCD only once, the other not common factors in blue, they're used in the LCD.

Match the verbal expression (term) with its algebraic expression (definition).

Match Term Definition
Four less than an unknown value A) y − 4
Quotient of a variable and four B) b + 4
Some number to the power of four C) a4
Four times an unknown value D) 4x
Four more than some number E) z ÷ 4

Answers

A) y − 4

Four less than an unknown value

B) b + 4

Four more than some number

C) a^4

Some number to the power of four

D) 4x

Four times an unknown value

E) z ÷ 4 =

Quotient of a variable and four

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

X and 127 are co-interior angles and X and Y are straight angle

Answer:

Y=127°

X=53°

Step-by-step explanation:

Y is 127 bcs it is correspoding to the 127° it has given u in the question. But you know that half a circle is 180° now that you have 127 as y u minus 180- 127 which equals X that is 53 hope u understood

PLEASE ANSWER AS SOON AS POSSIBLE WILL GIVE "Brainliest" TO THE FIRST CORRECT PERSON!!!

Find the area of the figure. Round your answer to the nearest tenth.


The area is about ___square meters.

Answers

Answer:

17.3

Step-by-step explanation:

area of paralellogram=base x height

height=sin(60) x 4= [tex]2\sqrt{3}[/tex]

area = 5 x [tex]2\sqrt{3}[/tex]

        = [tex]10\sqrt{3}[/tex] = 17.3(to nearest tenth)

What amount of Interest will be charged on $6500 borrowed for 5 months at a simple
Interest rate of 6%

Answers

Answer:

162.50

Step-by-step explanation:

6500 *  5/12 * .06 =

The area of a triangle is 273 square centimeters. If the base is 21 centimeters what is the height?

Answers

Th anwse is d) :B k .............

compare 2 1/4 ? 3 1/4
A) >
B) <
C) =

Answers

Answer:

B

Step-by-step explanation:

EZ

can someone help with this please

Answers

Y=mx+b form:

y<2/5x+2

y ≥ -1/2x+3

I forgot how to do the inequalities :)

Step-by-step explanation:

Please help I'll mark brainliest ​

Answers

Answer:

The gods

Step-by-step explanation:

Heroes in Greek Mythology were men or women of special strength, courage, or ability. They were often of divine ancestry and noted for superhuman courageous acts.

What makes a hero in Greek Mythology?

   Having one immortal parent.    Being born into royalty.    Having an unusual conception or birth.    Being favored by the gods.    Being the subject of a prophesy.    Being abandoned at birth or while very young.    Performing an amazing feat at a young age.    Going on a quest.

can someone help me super quick?
subject is stretching/reflecting quadratic functions

Answers

If you know what y = x², you can make the parabola more narrow by scaling this by some constant greater than 1 or smaller than -1. For example, y = 2x² or y = -5x². Note that if you pick a negative constant, you would end up reflecting the parabola across the horizontal axis.

To get a wider graph, you would instead scale by some constant between -1 and 1. For example, y = -1/2 x² (scaling by -1/2, or equivalently scaling by 1/2 and reflecting).

Taking the aformentioned details together, you can (1) reflect and (2) narrow the graph by multiplying y = 3x² by a negative constant larger than 1 in magnitude. For example, y = -15x², where we scale by -5.

3. The number of home phones Best Bytes sold
decreased by 14% each year after 1987. Write
a function to represent the number of home
phones sold x years after 1987.

Answers

Step-by-step explanation:

Let the number of phones sold in 1987 is k.

The rate of decrease is

1 - 14% = 1 - 0.14 = 0.86

The function to represent the number of phones P sold after x years after 1987 is

P(x) = k(0.86ˣ)

Answer:

[tex]f(x)=a(0.86)^x[/tex]

where:

a is the number of phones sold in 1987x is the number of years after 1987

Step-by-step explanation:

General form of an exponential function:

  [tex]f(x)=ab^x[/tex]

where:

a is the initial valueb is the growth/decay factor in decimal formx is the independent variablef(x) is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

Given:

f(x) = number of home phones sold after 1987x = years after 1987a = number of phones sold in 1987

If the number of phones decreased by 14% each year, then each year the number of phones will be 86% of the previous year
(100% - 14% = 86%)

Therefore, b = 86% = 0.86

Substitute the given and found values into the general form of the function to create a function to represent the number of home phones sold:

   [tex]f(x)=a(0.86)^x[/tex]

where:

a is the number of phones sold in 1987x is the number of years after 1987

Show that the set a = (1, 2, 1); b = (0, 1, 0); c = (-2, 0, 2) is linearly dependent.​

Answers

By definition of linear independence, the vectors in the set {a, b, c} are independent if

[tex]k_1\vec a+k_2\vec b+k_3\vec c=\vec0[/tex]

can only be obtained with the choice of k₁ = k₂ = k₃ = 0.

This vector equation corresponds to the system of linear equations

[tex]\begin{cases}k_1 - 2k_3 = 0 \\ 2k_1 + k_2 = 0 \\ k_1 + 2k_3 = 0\end{cases}[/tex]

The first equation says k₁ = 2 k₃, while the third one says k₁ = -2 k₃. This can only be possible if k₁ = k₃ = 0, and from the second equation it follows that k₂ = 0. So the given set is linearly independent (and *not* dependent).

2/3 of a number is 18 work out 5/9 of the number

Answers

Answer:

15

Step-by-step explanation:

let the number=x

⅔x=18

2x=54

x=27

Now 5/9 of the number=5/9×27

=5×3=15

Which expression is equivalent to 4(2n) + n?

A : 8n
B : 9n
C : 6n + n
D : 8n + n

Answers

Answer:

B and D.

Step-by-step explanation:

4(2n) + n

= 8n + n

= 9n.

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex] \large\underline{ \boxed{ \sf{✟\:Important\: point's✟ }}}[/tex]

we can easily check whether the given expression is equivalent or not by simply solving the expression by fôllowling algebraic rule

→ Your given expression:- 4(2n)+n

★ Let's solve:-➤4(2n)+n➤distributing 4 with 2n gives you ➤8n+n➤then adding like terms➤9n

Hence option b (9n) is right ans

[tex]\pink{\underline{ \underline{ \boxed{ \sf{✰\: Option.\:B✓ }}}}}[/tex]

Hope it helps !

What us the value of x? This question is pretty easy…. My brain has just given out!

Answers

Answer: 10

Step-by-step explanation:

According to Boyle's law, PV = k, what was the pressure to the nearest tenth at the time of the first measurement given the following information? V1 = 7,450 mL


Answers

The pressure to the nearest tenth at the time of the first measurement  for this case was 1.82 atm approximately.

What is Boyle's law?

According to the Boyle's law, the pressure of a gas tends to drop as the capacity of the container increases. We can write it symbolically as:

[tex]P_1V_1 = P_2V_2[/tex]

where we have:

[tex]P_1[/tex] and [tex]V_1[/tex] are first pressure and first volume, and:

[tex]P_2[/tex] and [tex]V_2[/tex] are second pressure and second volume.

The complete question is:

" According to Boyle's law, PV = k, what was the pressure to the nearest tenth at the time of the first measurement given the following information?

V₁ = 7,450 mL, P₂ = 8.25 atm, V₂ = 1,645 mL"

So, using the Boyle's rule, we get:

[tex]P_1V_1 = P_2V_2\\\\P_1 = \dfrac{P_2V_2}{V_1}\\\\P_1 = \dfrac{8.25 \times 1645}{7450} \approx 1.82 \: \rm atm[/tex]

Thus, the pressure to the nearest tenth at the time of the first measurement  for this case was 1.82 atm approximately.

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In a class of 28 students, 16 play an instrument and 11 play a sport. There are
7 students who do not play an instrument or a sport. What is the probability
that a student plays an instrument given that they play a sport?

Answers

Answer: 6/11

Step-by-step explanation:

28 - 7 = 21

16 + 11 - 21 = 6

11 - 6 = 5

16-6 = 10

10 + 5 15

P (a) = 16/28

p (b) = 11/28

A I B = 6/28/11/28 = 6/11

26. The solutions given by the quadratic formula are
integers. (1 point)

O sometimes
O always
O never

Answers

Sometimes because a integer is a whole number (not a fraction or decimal)

If you solve a quadratic equation then you can get both integers and fractions/decimals
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