A triangle has sides with lengths 17, 12, and 9. Is the triangle right, acute, or obtuse?
Question 1 options:

A)

Can't be determined

B)

Obtuse

C)

Right

D)

Acute

Answers

Answer 1

9514 1404 393

Answer:

  B) obtuse

Step-by-step explanation:

I like to answer these questions using a "form factor" (f) computed as ...

  f = a² + b² - c² . . . . . . . where a, b, c are side lengths with c the longest

Then ...

  f = 9² +12² -17² = 81 +144 -289 = -64

The negative value indicates an obtuse triangle (largest angle more than 90°).

__

f = 0 indicates a right triangle; f > 0 indicates an acute triangle.

_____

Additional comments

You may recognize that the two short sides have the ratio 9:12 = 3:4. You know a (3, 4, 5) triangle is a right triangle, so this triangle would be a right triangle if the longest side were 15. Since it is 17, you know the largest angle is more than 90°.

This "form factor" is related to the angle computation you would do to find the measure of the largest angle using the law of cosines. That angle is ...

  C = arccos(f/(2ab)) = arccos(-64/216) ≈ 107.2°

Since the factor (2ab) is always positive, the sign of "f" tells you the sign of the cosine of the angle. It is negative for angles greater than 90°.


Related Questions

What is the miss angle in F?

Answers

Answer:

45

Step-by-step explanation:

The two angles add to 90 degrees since they are a right angle

F + 45 = 90

F = 90-45

F = 45

I would say 45 because it’s 45+45+90=180

Can someone help me step by step with this probelm please thanks a lot

Answers

1. A 3 letter word with a value of 14 could be MOB, 6+6+2=14

2. A word that has the same value as boat.
Well, BOAT (2,6,2,8) adds up to 18. A word with the same value could be CARS (2,27,7)

3. A 4 letter word I can think of is HELP (4,3,5,7) and the value is 19

-The other part where it says “my word has a value of 20- guess the word” it could be KITE (5,4,8,3)

PLEASE HELP WILL CROWNNNNNN!!!!!

Answers

Answer:

12

7

2

- 3

- 8

Step-by-step explanation:

f ( - 2 )

= 2 - 5 ( - 2 )

= 2 - ( - 10 )

= 2 + 10

= 12

f ( - 1 )

= 2 - 5 ( - 1 )

= 2 - ( - 5 )

= 2 + 5

= 7

f ( 0 )

= 2 - 5 ( 0 )

= 2

f ( 1 )

= 2 - 5 ( 1 )

= 2 - 5

= - 5 + 2

= - 3

f ( 2 )

= 2 - 5 ( 2 )

= 2 - 10

= - 10 + 2

= - 8

The cost of making a shirt is half of what the shirt normally sells for. Today, however, the shirt is 15% discount feom it’s normal price. What is the current price of the shirt.

Answers

Let the cost of the shirt be y and the price by the which the shirt is sold is 2y. This means that at 15% discount, the shirt is sold at 1.7 of its original cost.

PLEASE HURRY

Tameron rolls a 6-sided die 3 times.
What is the probability that he rolls a 5 on every roll?

A. 1/216
B. 3/216
C. 1/64
D. 3/64

Answers

Answers:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer
2. 3/4 of Alice's salary is the same as 1/2 of Betty's salary. If Alice
earns $200 less than Betty, how much does Betty earn?

Answers

Answer:

Betty = $600

Step-by-step explanation:

3/4 of Alice's salary is the same as 1/2 of Betty's salary

(3/4)a = (1/2)b

multiply both sides by 2

(3/2)a = b

Alice earns $200 less than Betty

b - a = 200

Substitute for b

(3/2)a - a = 200

(1/2)a = 200

multiply both sides by 2

a = 400

b = (3/2)400

b = 600

4. Tyquan had his car towed by Lakeview's Towing Service. It cost him $3.00 per mile to have it towed
plus a flat fee of $70.00. The function for his cost is represented by the function C(m) = 3m + 70. What
does C(22) represent in this situation?
a. Tyquan had hisbear towed for 136 mile and it cost $22.00
b. Tyquan had his car towed for 22 miles and it cost him $136.00
c. Tyquan had his car towed for 3 miles at $70.00
d. Tyquan had his car towed 22 miles for $70.00

Answers

Answer:

B is the answer trust me I already took the math.

Step-by-step explanation:

5/14 x 7/30 in its simplest form

Answers

Answer:

Step-by-step explanation:

1/12

Anna has 80 coins in her piggy bank. She notices that she only has dimes and pennies. If she has exactly four times as many pennies as dimes, how many pennies are in her piggy bank?

Answers

Answer:she has 20 pennies because

Step-by-step explanation:80 divide by 4 = 20

At the beach, 49% of people have red towels and 11% have blue towels. If the
rest have white, what percentage of the people at the beach have white
towels?

Answers

Answer: 40%

Step-by-step explanation:

Percentage of people that have red towels = 49%

Percentage of people that have blue towels = 11%

Therefore, the percentage of the people at the beach have white

towels will be:

= 100% - (49% + 11%)

= 100% - 60%

= 40%

Therefore, the answer is 40%.

Answer:

40%

Step-by-step explanation:

Just took the test

Here is a system of equations. Is (1,3) a solution to this system of equations? Explain how determined your answer. Show your work!

4x + 5y = 19

x + 5y = 16

Answers

Hi, here it is!
Hope this help…

The train will take one hour, then the bus will take two and a half hours. I need to allow half an hour to change between them. How long will the whole journey take?​

Answers

Answer:

Step-by-step explanation:

answer: 4 hours

The Journey will take 4 hour.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

The train will take one hour.

and, bus will take two and a half hours.

Also, half an hour to change between them.

So, the total time taken is

= 1 + 2.5+ 0.5

= 4 hours

Hence, the total hour is 4 hour.

Learn more about Unitary Method here:

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Asap,,,,,,,,,,,,,,,,,,,,,

Answers

Answer:

3n^2 -24n+36

Step-by-step explanation:

A is a finite non-empty set. The domain for relation R is the power set of A.(Recall that the power set of A is the set of all subsets of A.) For X⊆ A and Y ⊆A, X is related to Y if X is a proper subsets of Y (i.e., X ⊆Y). Choose the description that accurately describes relation R.
a. Symmetric and Reflexive
b. Anti-symmetric and Reflexive
c. Symmetric and Anti-reflexive
d. Anti-symmetric and Anti-reflexive

Answers

Answer:

The answer is "Choice D"

Step-by-step explanation:

Determining the information:

For "[tex]X \subseteq A[/tex] " and "[tex]Y \subseteq A[/tex]",  [tex]X[/tex] relates to [tex]Y[/tex] when [tex]X[/tex] and [tex]Y[/tex] has the same cardinality. therefore, R does not have reflective:

For every "[tex]X \subseteq A[/tex]", "[tex]X= X[/tex]" So, X  not proper subset of[tex]X[/tex].  So, R does not havereflexive.

R does not have symmetry:

For every "[tex]X \subseteq Y[/tex]" ,then, "[tex]Y \subset X[/tex]"  is not true because [tex]X[/tex] not relate to [tex]Y[/tex].  So, R is not symmetric.

R does not have antisymmetric:

When [tex]X[/tex] relates to [tex]Y[/tex] and [tex]Y[/tex] is relate to [tex]X[/tex], then "[tex]X \subset Y[/tex]" and "[tex]Y \subset X[/tex]"[tex]\to X=Y[/tex]

Therefore, R is anti-symmetric.

f. 10 20
30 40 50
60 70
20
Answer the following questions on multiples.
a. Write down the multiples of three from 474 to 483.
b. Write down the multiples of 5 between 718 and 733.
е
are 120,725,730.
c. Which of the following numbers in​

Answers

Answer:

i don't understand the question please

Mr. Poplin asked his students to write the following expression: "Two to the fifth power plus seven squared" Which answer choice shows this expression? A 52 - 27 B (2-5) + (7.2) © 25-74 D 2572​

Answers

Answer:

B

Step-by-step explanation:

they rest The two by five and separate the square

Will give brainliest

Answers

Answer:

I think the car's acceleration is 20 mph forward

Answer:

20m/s^2

Step-by-step explanation:

Acceleration is (Change in velocity÷change in time)

(20-0)÷ (1-0)

20

if Lisa is 12 years old now how old was she at the age at 1/4 of her current age​

Answers

Answer:

3

Step-by-step explanation:

12/4=3

PLS HELP IF U WOULDNT MIND

Answers

Answer:

64 cm³

Step-by-step explanation:

The figure can be decomposed to two rectangular prism, one smaller person on top and one bigger prism beneath.

Volume = volume of smaller rectangular prism + volume of bigger rectangular prism

✔️Volume of smaller rectangular prism = L*W*H

L = 2 cm

W = 2 cm

H = 8 - 4 = 4 cm

V = 2*2*4

V = 16 cm³

✔️Volume of bigger rectangular prism = L*W*H

L = 6 cm

W = 2 cm

H = 4 cm

V = 6*2*4

V = 48 cm³

✔️Volume of the figure = 16 + 48 = 64 cm³

A two-sample t-test for a difference in means will be conducted to investigate whether the average amount of money spent per customer at Department Store M is different from that at Department Store V. From a random sample of 35 customers at Store M, the average amount spent was $300 with standard deviation $40. From a random sample of 40 customers at Store V, the average amount spent was $290 with standard deviation $35. Assuming a null hypothesis of no difference in population means, what is the test statistic for the appropriate test to investigate whether there is a difference in population means?

Answers

The test statistic is 1.145 for the appropriate test to investigate whether there is a difference in population means.

A test statistic is a numerical value calculated from sample data in hypothesis testing.

Given that

Sample 1: Store M

Sample size, [tex]n_1[/tex] = 35,

Sample mean, [tex]\bar{X_1}[/tex] = 300,

Standard deviation, [tex]s_1[/tex] = 40.

Sample 2: Store V

Sample size, [tex]n_2[/tex] = 40,

Sample mean, [tex]\bar{X_2}[/tex] = 290,

Standard deviation, [tex]s_2[/tex] = 35.

The null hypothesis, [tex]H_o[/tex] : there is no difference in population means, i.e.,

[tex]\mu_1 =\mu_2[/tex].

The alternate hypothesis, [tex]H_1[/tex] : there is a significant difference in population means, i.e.,

[tex]\mu_1 \neq\mu_2[/tex].

Under the null hypothesis, the test statistic is

[tex]t = \dfrac{\bar{X_1}-\bar{X_2}}{\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} }}[/tex]

  [tex]= \dfrac{300-290}{\sqrt{\frac{40^2}{35}+\frac{35^2}{40} }}\\=\dfrac{10}{\sqrt{\frac{1600}{35}+\frac{1225}{40} }} \\=\dfrac{10}{\sqrt{45.714+30.625 }} \\=\dfrac{10}{\sqrt{76.339 }}\\=\dfrac{10}{8.737}\\=1.145[/tex]

Hence the test statistic is 1.145.

Learn more about test statistics here:

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Which relation is also a function?​

Answers

A function does not have repeated “x” values, therefore the only function there is “A”

The relation represented by graph A can be stated as function.

Thus, option (A) is correct.

A) The graph have input values {-5, -4, 0, 3, 4, 7}

and, all input have distinct output values {7, 5, 0, -1, -5}.

So, the graph is function.

B) The set {(-8, 8), (-6, 5), (-6, 4), (-3, 1), (-1, 0)} is not function.

Here, the input value -6 have two distinct output 5 and 4.

C) The table is not function.

Here, the input value 15 have outputs 2 and 3.

and 20 have two distinct output as 4 and 5.

D) The graph is not function as using verticals line test the curve have two same input value with different output value.

Thus, option (A) is correct.

Learn more about Relation here:

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W
Simplify the expression to
V3
6/3
divided by
2/3

Answers

i don’t know the answer but i also need this very bad

I need help fast plz
You don’t need to show work

Answers

Step-by-step explanation:

uy6rhjf08yssyoludysyosyiwyeiwyowyiyiwywoyiw

solve the equation

f(n)=10⋅2n for n = 5

Answers

Answer:

f(5) = 100

Step-by-step explanation:

f(n) = 10•2n for n = 5

for n = 5 means we will plug in 5 for every instance of n.

f(5) = 10•2(5)

Multiply.

f(5) = 10•10

Multiply.

f(5) = 100

Hope this helps!

Drag each label to the correct location on the image.
Here is a multiplication sentence:
1 x (4 x 4) = 16
Drag the numbers and the parentheses to create an equivalent multiplication sentence that illustrates the associative property of
multiplication

Answers

Answer:

4 x (1 x 4) = 16

Step-by-step explanation:

1 x 4 = 4

4 x 4 = 16

The nth term of sequence is n2 + 20
Work out the first three times of sequence

How many times in the sequence are less than 50

Answers

Answer:

First three terms:

22,24,26

There are 15 terms in the sequence that are 50 or less, yet only 14 if its just less than 50.

Answers:

The first three terms are 21, 24, 29

5 terms of the sequence less than 50.

======================================================

Explanation:

Plug in n = 1 to find that n^2+20 = 1^2+20 = 1+20 = 21. The first term is 21.

Repeat for n = 2 and you should get 2^2+20 = 24 as the second term.

The third term is 29 through similar steps, but this time you use n = 3 of course.

The first three terms are 21, 24, 29

It's effectively the first three perfect squares 1, 4, 9 but we have a tens digit of 2 stuck to the left of each value.

--------------------

We want to find when n^2+20 is less than 50. We could keep plugging values of n into that expression and record if the result is less than 50 or not, then tally those occurrences. You should record 5 such occurrences.

Or we could do a bit of algebra like so

n^2+20 < 50

n^2 < 50-20

n^2 < 30

sqrt(n^2) < sqrt(30)

n < sqrt(30)

On a calculator, sqrt(30) is roughly 5.4772 which means n < 5.4772. If n is a a natural number, then the largest it can get is n = 5 to ensure n^2+20 is less than 50.

We can see that,

n^2+20 = 5^2+20 = 45 when n = 5n^2+20 = 6^2+20 = 56 when n = 6

This helps show that n = 5 is the largest n to make n^2+20 < 50 a true statement. This means that there are 5 terms of the sequence less than 50.

7 pts
You are making hamburgers for a barbeque with your family and bought 10 2/3 pounds of ground beef. If you want to make 1/3 pound hamburgers, how many burgers can you make from the pounds of ground beef?

Answers

You can make 32 burgers out of 10 2/3 pounds

What is the answer for this question above

Answers

Answer a

Explanation
A would be the answer hope this helps

What is the surface area of the pyramid?

Answers

✍️Answer:A) 160 in²

-------------------

[tex]let ~b=8~m,h=6in[/tex]

[tex]SA=4(bh/2)+b^2[/tex]

[tex]=2(8)(6)+(8)^2[/tex]

[tex]=96+64[/tex]

[tex]=160in^2[/tex]

------------------------hope it helps...have a great day!!

Find the value of x that will make A||B
5x +.20
A-
7
B
3x + 60
x = [?]
Enter

Answers

Answer:

x=20

Step-by-step explanation:

Both Angles have the same value, as they are opposite angels.

Set your formula up as

5x+20=3x+60

5x=3x+60-20

2x=40

x=40/2

x=20

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