One angle of a right triangle measures 36.5 degrees. What is the measure of the other small angle?

Answers

Answer 1

Answer:

53.5 DEGREES

Step-by-step explanation:

90 + 36.5 = 125.6

180 - 126.5 = 53.5 degrees

Answer 2

The measure of the other small angle will be 53.5 degree.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In a right triangle, One angle measures 36.5 degrees.

Now,

Since, The triangle is a right triangle.

So, One of the angle = 90 degree

And, One angle measures 36.5 degrees.

Let the measure of the other small angle = x degree

Since, The sum of all the interior angles in a triangle = 180 degree

So, We can formulate;

⇒ x + 90 + 36.5 = 180

⇒ x + 126.5 = 180

⇒ x = 180 - 126.5

⇒ x = 53.5 degree.

Thus, The measure of the other small angle will be 53.5 degree.

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Related Questions

Find the equation of a line containing the point (8.3) and has a slope of 5. Write
the equation in slope-intercept form

Answers

Answer:

[tex]y=5x-37[/tex]

Step-by-step explanation:

So we want to find the equation of a line with a slope of 5 and passes through (8,3).

To do so, we can use the point-slope form. This point-slope form is:

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

Let's let (8,3) be x₁ and y₁ and let's let m equal 5. Therefore:

[tex]y-3=5(x-8)[/tex]

Distribute the right:

[tex]y-3=5x-40[/tex]

Add 3 to both sides:

[tex]y=5x-37[/tex]

That would be our equation in slope-intercept form.

And we're done!

Y=5x-37 and your all done

To which subset of the real number system does the number LaTeX: 1.\overline{5}1. 5 ¯ belong? Group of answer choices irrational numbers whole numbers natural numbers rational numbers

Answers

Answer:

rational numbers

Step-by-step explanation:

Paul has $40,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 8% interest and part at 13% interest. How much does Paul need to invest in each option to make a total 11% return on his $40,000?

Answers

Answer:

.18n+2400-.06n=6000

.12n=3600

n=3600/.12=$30000 at 18%, $10000 at 6%

Step-by-step explanation:

Which property would be used first to make the following problem easier to work? 2/3 x (3/2 x 5) associative property of multiplication multiplicative property o commutative property of multiplication distributive property​

Answers

Answer:

5

can be done by multiplication multiplicative property

Step-by-step explanation:

2/3 * (3/2 * 5)

1st = 2/3 * 3/2 * 5

2nd = 2 * 3 * 5

             3 * 2

3rd = 3 * 5

            3

therefore

the answer = 5

Answer:

[tex]\Large \boxed{\mathrm{associative \ property \ of \ multiplication}}[/tex]

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

Step-by-step explanation:

The associative property of multiplication can be use to make the problem easier to solve.

In associative property of multiplication, when we multiply a bunch of numbers, we can group the numbers in any combination.

[tex]a \times (b \times c) = (a \times b) \times c[/tex]

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

Sue deposited $1,500 into two different accounts.

- She deposited $600 into an account that pays 7.5% simple interest.

- She deposited $900 into an account that pays 6% compounded annually.

If Sue does not deposit additional money into the accounts and she doesn't withdraw any money from the accounts, which is closest to the total balance she will have in the two accounts at the end of 5 years

Answers

$915 I’m pretty sure


Consider the statement,
Irrational numbers are closed under subtraction
Is the statement true or false? If false, justify with a counterexample
false; The numbers 2 and 7 are irrational, but V2 - cannot be simplified to an irrational number.
true
false; The number 2 is irrational, but 2 - 2 = 0 and is not irrational
false; The numbers 10 and 6 are irrational, but
/10
V6 14 2 and 2 is not irrational

Answers

Bibb hbbbvvbbbbe. DVD’s do. Bf d dads. Gvrexccghhfds
Honestly have no idea never learned I think

A survey was conducted at Giant Supermarket where 50 students were randomly chosen and asked
whether they liked apples or bananas. Of the 50,36 students said they like apples, 30 students like
bananas and 5 students do not like either apples or bananas. How many students like both apples
and bananas? How many students like only apples or only bananas?

Answers

Answer:

The answer for both apples and bananas is 21

The answer for only apples or only bananas is 45

Step-by-step explanation:

36 plus 30 minus 45

50-5 is 45

only apples or bananas is 15 + 9

Which of the following must describe a irrational number? A. a number with a repeating or terminating decimal expansion B. a number with a nonterminating decimal expansion C. a decimal with a nonrepeating decimal expansion D. a number with a nonrepeating and nonterminating decimal expansion​

Answers

Answer:

D.

Step-by-step explanation:

A irrational number can be defined as those numbers which are real but can NOT be expressed in simple fractions. The term 'irrational' means 'a number which can not be expressed in ratio of two integers', 'no ratio.'

When a irrational number is expressed in decimal, the numbers keep on expanding without repeating andd without terminating, which means it keeps on expanding infinitely.

For example, π (pi) is an irrational number. When it is expressed in decimals it keeps on expanding non-repeatedly and unendingly.

Another example of an irrational number is √2.

Thus the correct statement that defines irrational number is option D.

Answer:

D. a number with a nonrepeating and nonterminating decimal expansion​

Step-by-step explanation:

What is the value of x in a & b?

Answers

Answer:

a. x = 9

b. x = 3.6

Step-by-step explanation:

a. By Basic proportionality theorem:

AB/BD = AC/CE

4/4 = x/9

1 = x/9

9 = x

x = 9

b.

[tex] In \: \triangle ABC \: \& \: \triangle EDF\\

\angle B \cong \angle D....(given) \\

\angle C \cong \angle F.....(given) \\

\therefore \triangle ABC \: \sim \: \triangle EDF.. (AA\: POSTULATE) \\

\therefore \frac{AB}{ED} = \frac{BC}{DF} ...(csst) \\

\therefore \frac{2}{5} = \frac{x}{9}\\

\therefore x = \frac{2\times 9}{5} \\

\therefore x = \frac{18}{5} \\

\huge \red{\boxed {\therefore x = 3.6}} \\[/tex]

Insert <, >, or = in the appropriate space to make a true statement.
1-3 _-4
1-311
-4

Answers

Answer:

  >

Step-by-step explanation:

1 - 3 ?? -4

-2 ?? -4

The appropriate symbol for this ?? relation is >.

  1 -3 > -4

What does it mean to multiply a number by -1?​

Answers

Multiplying a number by -1 makes the number a negative version of itself. For example, if you were to multiply 3 by -1, you would end up getting a product of -3.

Answer:

Multiplying a number by -1 means the sign on the number is made opposite. If the number was positive, it becomes negative. If the number was negative, it becomes positive.

edmentum answer!!

Our hearts beat approximately 70 times per minute. Express in scientific notation how many times the heart beats over a lifetime of 73 years​ (ignore leap​ years). Round the decimal factor in your scientific notation answer to two decimal places.

Answers

Answer:

2.69 x [tex]10^{9}[/tex]

Step-by-step explanation:

We are given the heart's speed - 70 bpm

We count the number of minutes in 73 years :

1 year = 365 days1 day = 24 hours1 hour = 60 minutes73 x 365 x 24 x 60 = 38,368,800 minutes

We multiply the heart's bpm with 73 years worth of minutes

38,368,800 x 70 = 2,685,816,000

Write the number in scientific notation = 2.68581 x [tex]10^{9}[/tex] ≈ 2.69 x [tex]10^{9}[/tex]

The number of times a heart will beat in 73 years is required.

The heart will beat [tex]1.6\times 10^{11}\ \text{times}[/tex] in a lifetime.

Algebra

The number of times heart beats per minute is 70.

Number of years in a lifetime is 73 years

Ignoring leap year a year has 365 days.

So minutes in a leap year is

[tex]365\times 24\times 60\times 60[/tex]

Minutes in a lifetime of 73 years

[tex]73\times 365\times 24\times 60\times 60[/tex]

The product of beats per minute and the minutes in a lifetime will given the required heart beats

[tex]70\times 73\times 365\times 24\times 60\times 60=1.6\times 10^{11}\ \text{beats}[/tex]

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In a group of 58 learners at Nakambuda C.S, 34 learners have chosen the field of Agriculture. What fraction of learners will be doing Agriculture?

Answers

learners of Agriculture: 34/58

semplify it

divide by 2

34 > 17

58 > 29

they are prime numbers, so can't be semplify anymore

17/29 will do Agriculture

in percentage we have a proportion:

17 : 29 = x : 100

x = (17 * 100) / 29 = 1700 / 29 ≅ 48,62

You intend to conduct an ANOVA with 7 groups in which each group will have the same number of subjects: n=6n=6. (This is referred to as a "balanced" single-factor ANOVA.)
1. What are the degrees of freedom for the numerator?
d.f.(treatment) =
2. What are the degrees of freedom for the denominator?
d.f.(error) =

Answers

Answer:

d.f.(treatment) = 6

d.f.(error) = 35

Step-by-step explanation:

In the question we have

k = 7

r= 6

n= rk= 42

1. The degrees of freedom for the numerator is calculated as under

d.f.(treatment) = k-1= 7-1= 6

Where k gives the number of columns

2. The degrees of freedom for the denominator is calculated as under

d.f.(error) = k (r-1)= n-k= 42-7=35

where k gives the number of columns and r gives the number of rows.

This is for one way ANOVA as asked above.

How do I Simplify i^54

Answers

Answer:

[tex]i^{54}=-1[/tex]

Step-by-step explanation:

First, recall the 4 basic imaginary exponents:

[tex]i^1=i \text{, }i^2=-1\text{, }i^3=-1\text{ and } i^4=1[/tex]

So, we want to find:

[tex]i^{54}[/tex]

This is the same as:

[tex]=i^{52}\cdot i^2[/tex]

52 is 4 times 13. Thus:

[tex]=(i^4)^{13}\cdot i^2[/tex]

Since we know that i to the fourth is 1:

[tex]=(1)^{13}\cdot i^2[/tex]

Simplify:

[tex]=i^2[/tex]

And this equals:

[tex]=-1[/tex]

So:

[tex]i^{54}=-1[/tex]

Estimate then find the quotient 2,800÷25

Answers

Answer:

112

Step-by-step explanation:

what is K+(-5/3)=-44/3​

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf k = - 13}}}}[/tex]

Step-by-step explanation:

[tex] \sf{k + ( - \frac{5}{3} ) = - \frac{44}{3} }[/tex]

When there is a ( + ) in front of an expression in Parentheses, there is no need to change the sign.

That means the expression remains the same.

⇒[tex] \sf{k - \frac{5}{3} = - \frac{44}{3} }[/tex]

Move 5/3 to right hand side and change it's sign

⇒[tex] \sf{k = - \frac{44}{3} + \frac{5}{3} }[/tex]

While performing the addition or subtraction of like fractions , you just have to add or subtract the numerator respectively in which the denominator is retained same.

⇒[tex] \sf{k = \frac{ - 44 + 5}{3} }[/tex]

Calculate

⇒[tex] \sf{k = \frac{ - 39}{3} }[/tex]

Divide -39 by 3

⇒[tex] \sf{k = - 13}[/tex]

Hope I helped!

Best regards!!

Janae has 280 dimes in her piggy bank she has 10 times as many pennies how many pennies does Janae have

Answers

Answer:

She has 28 pennies

Step-by-step explanation:

Janae has 280 dimes in her piggy bank she has 10 times as many pennies .

If she has 280 dimes in piggy bank

And has 10 times as many pennies

Let dimes= x

Let pennies= y

X= 10y

But x= 280

280= 10y

280/10 = y

28 = y

She has 28 pennies

Prove the following using a proof by contradiction:The average of four real numbers is greater than or equal to at least one of the numbers.
The average of four real numbers is greater than or equal to at least one of the numbers.

Answers

Answer:

By contradiction it can be proved that:

Average of four real numbers will be greater than or equal to at least one of the four real numbers.

Step-by-step explanation:

Method of contradiction means we assume opposite to the facts to be proved and then we contradict our assumption.

As a result, we prove the fact.

Here, let the four number be:

[tex]p, q, r, s[/tex]

The average will be Sum of all numbers divided by count of numbers.

[tex]\dfrac{p+ q+ r+ s}4[/tex]

Now, let us assume the opposite that the average is less than all the numbers.

i.e.

[tex]\dfrac{p+ q+ r+ s}4 <p[/tex]

[tex]\dfrac{p+ q+ r+ s}4 <q\\\dfrac{p+ q+ r+ s}4 <r\\\dfrac{p+ q+ r+ s}4 <s[/tex]

Now, let us add all of them:

[tex]\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4 < p+q+r+s\\\Rightarrow \dfrac{4(p+q+r+s)}4<p+q+r+s\\\Rightarrow p+q+r+s<p+q+r+s[/tex]

Which can never be possible hence, our assumption is contradicted.

our assumption is wrong.

Therefore, by contradiction it is proved that:

Average of four real numbers will be greater than or equal to at least one of the four real numbers.

An average of four real numbers will be greater than or equal to at least one of the four real numbers.

What is average?

An average is simply defined as the mean of the given set of numbers. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.

Prove the following using proof by contradiction.

The average of four real numbers is greater than or equal to at least one of the numbers.

Method of a contradiction means we assume opposite to the fact to be proved and then we contradict our assumption.

Let the four numbers be a, b, c, and d.

The average will be

[tex]\rm \dfrac{a+b+c+d}{4}[/tex]

Now let us assume the opposite that the average is less than all the numbers.

[tex]\rm \dfrac{a+b+c+d}{4} < a\\\\\rm \dfrac{a+b+c+d}{4} < b\\\\\rm \dfrac{a+b+c+d}{4} < c\\\\\rm \dfrac{a+b+c+d}{4} < d[/tex]

Let us add all of them.

[tex]\rm \rightarrow \dfrac{a+b+c+d}{4} +\dfrac{a+b+c+d}{4} +\dfrac{a+b+c+d}{4}+\dfrac{a+b+c+d}{4} < a+b+c+d\\\\\rightarrow \dfrac{4(a+b+c+d)}{4} < a+b+c+d\\\\\rightarrow a+b+c+d < a+b+c+d[/tex]

That can never be possible hence, our assumption is contradicted.

Our assumption is wrong.

Therefore, by contradiction, it is proved that;

An average of four real numbers will be greater than or equal to at least one of the four real numbers.

More about the average link is given below.

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stem (hundred thousands) Leaf (ten thousands)
0 667778999
1 02447778889999
2 0011234445667889
3 00011227


The stem-and-leaf plot above shows house sale prices over the last week in Tacoma. What was the most expensive house sold? Give your answer in dollars

Answers

The largest stem is 3, found in the bottom row. This represents 300 thousand or 300,000.

The largest leaf in the bottom row is 7 and that represents

7*(10 thousand) = 70 thousand = 70,000

Adding the stem and leaf values gets us

300,000 + 70,000 = 370,000

The most expensive home sold was $370,000

What are the roots of the equation? 0=x4−x3+4x2−6x−12 Select all correct answers. −6 −2 −1 1 2 6 i√6 −i√6 √6 −√6

Answers

Answer:

3rd Option: -1

5th Option: 2

7th Option: i√6

8th Option: -i√6

Step-by-step explanation:

Graph the function first to find our real root factors.

When you find your real root factors, factor the equation down with x + 1 and x - 2 and then use Quadratic Formula to find complex roots.

Answer:

-2, 1. i[tex]\sqrt{6}[/tex], and -i[tex]\sqrt{6}[/tex]

Step-by-step explanation:

just took the test

a bee has mass of 0.02 kg

Answers

Your question is not complete

3 points] Write the equation of the line passing through (-1, 4) and (2,-2) in lope – intercept form.​

Answers

Answer:

y = - 2x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (2, - 2)

m = [tex]\frac{-2-4}{2+1}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2 , thus

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, - 2 ), then

- 2 = - 4 + c ⇒ c = - 2 + 4 = 2

y = - 2x + 2 ← equation of line

lute
data.
Andrea's math test scores
were 76, 88, 82, 94, and 88.
Find the mean.

Answers

Answer:

85.6

Step-by-step explanation:

you just add the numbers which is 428 and divide that by 5 which is 85.6

Answer:

85.6

Step-by-step explanation:

To find the mean, add up all the scores then divide by the number of tests

(76+ 88+ 82+ 94+88)/5

428/5

85.6

Use the multiplication rule to find the probability that the first four guesses are wrong and the fifth is correct. That is, find

Answers

Complete question is;

Multiple-choice questions each have 5 possible answers, one of which is correct. Assume that you guess the answers to 5 such questions.

Use the multiplication rule to find the probability that the first four guesses are wrong and the fifth is correct. That is, find P(WWWWC), where C denotes a correct answer and W denotes a wrong answer.

P(WWWWC) =

Answer:

P(WWWWC) = 0.0819

Step-by-step explanation:

We are told that each question has 5 possible answers and only 1 is correct. Thus, the probability of getting the right answer in any question is =

(number of correct choices)/(total number of choices) = 1/5

Meanwhile,since only 1 of the possible answers is correct, then there will be 4 incorrect answers. Thus, the probability of choosing the wrong answer would be;

(number of incorrect choices)/(total number of choices) = 4/5

Now, we want to find the probability of getting the 1st 4 guesses wrong and the 5th one correct. To do this we will simply multiply the probabilities of each individual event by each other.

Thus;

P(WWWWC) = (4/5) × (4/5) × (4/5) × (4/5) × (1/5) = 256/3125 ≈ 0.0819

P(WWWWC) = 0.0819

Which statements are true based on the diagram

Answers

Answer:

Can you show the diagram please?

I need help with this

Answers

Answer:

rational

Step-by-step explanation:

ans

a) Rational

Hope this helps you...

8x-3+19 What number does x stand for in this problem?? PLEASE ANSWER I WILL GIVE 50 POINTS!!!

Answers

Answer: x=4

Step-by-step explanation:

8x-13=19

first, add 13 to both sides.

8x= 32

then, divide both sides by 8 to isolate x.

x= 32/8

x=4

A car was purchased new in 2019 for $32,650. In 2020 the car is $23,834.50. Find the rate of depreciation for that one year?

Answers

Answer:

Rate of depreciation = 27%

Step-by-step explanation:

Given:

Purchase price = $32,650

Rate in 2020 = $23,834.50

Find:

Rate of depreciation

Computation:

Depreciation = Purchase price - Rate in 2020

Depreciation = $32,650 - 23,834.50

Depreciation = $8,815.5

Rate of depreciation = [8,815.5 / 32650] 100

Rate of depreciation = 27%

Least to greatest

3/4 5/8 2/3 4/7 2/5

Answers

Answer:

Step-by-step explanation:

Least to greatest:

2/5, 4/7,  5/8, 2/3, 3/4

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