Is the triangle obtuse, acute, equilateral or right?

Is The Triangle Obtuse, Acute, Equilateral Or Right?

Answers

Answer 1

9514 1404 393

Answer:

  obtuse

Step-by-step explanation:

The law of cosines tells you ...

  b² = a² +c² -2ac·cos(B)

Substituting for a²+c² using the given equation, we have ...

  b² = b²·cos(B)² -2ac·cos(B)

We can subtract b² to get a quadratic in standard form for cos(B).

  b²·cos(B)² -2ac·cos(B) -b² = 0

Solving this using the quadratic formula gives ...

  [tex]\cos(B)=\dfrac{-(-2ac)\pm\sqrt{(-2ac)^2-4(b^2)(-b^2)}}{2b^2}\\\\\cos(B)=\dfrac{ac}{b^2}\pm\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}[/tex]

The fraction ac/b² is always positive, so the term on the right (the square root) is always greater than 1. The value of cos(B) cannot be greater than 1, so the only viable value for cos(B) is ...

  [tex]\cos(B)=\dfrac{ac}{b^2}-\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}[/tex]

The value of the radical is necessarily greater than ac/b², so cos(B) is necessarily negative. When cos(B) < 0, B > 90°. The triangle is obtuse.

Answer 2
Obtuse Bc Ik it is so ye lol

Related Questions

Choose a number line to model the following situation:

After a gain of 25 yards, the football team lost 25 yards on the next play.

Answers

Answer:

Attached below

Step-by-step explanation:

Starting value = 0

Gain +25 = 0 + 25 = 25

Loss = 25 +(-25) = 0

Start = 0 and End = 0

This one :

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Step-by-step explanation:

If they gained 25 yards they move up 25 on the number line, if they lost 25 yards after that they move back to having 0 yards

the only graph that models this is:

find the surface area of the composite figure. answer asap please :)

Answers

The surface area is 144!!

Answer:

144

Step-by-step explanation:

(PLSS HALP) What is the area of triangle PQR on the grid? (5 square units) (6 square units) (10 square units) (12 square units)

I Will Give Brainliest

Answers

Answer:

6

Step-by-step explanation:

it might be six but can you show me what the chart looks like?

I can’t really be 100 percent accurate without a chart but I am confident it’s 6

What is the Lowest Common Multiple (LCM) of 6 and 95

Answers

Answer:

570

Step-by-step explanation:

Least Common Multiple

The least common multiple (LCM) of two numbers is the smallest number that is even divisible by both numbers.

Hope this helps <3

Answer:

570

Step-by-step explanation:

does anyone on here use FLVS?? If so can u help with comprehensive science 5.06 conclusion part?

Answers

yes i can help ..................

If g(x) = 1 - ¾ x
find: g(-12)

Answers

Answer:

g(-12) is 10

Step-by-step explanation:

[tex]g(x) = 1 - \frac{3}{4} x [/tex]

when x is -12:

[tex]g( - 12) = 1 - \frac{3}{4} ( - 12) \\ g( - 12) = 10[/tex]

[tex] \sf \: g(x) = 1 - \frac{3}{4} x \\ \sf \:g(-12) = \: ? \\ \\ \sf \: Substitute\: the \: value \: of \: x \: as \: -12 \\ \\ \sf \:1 - \frac{3}{4} (-12) \\ \sf \: = 1 - \frac{3}{4} \times -12 \\ \sf \: = 1 + 9 \\ \sf \: = \underline{\bf \: 10}[/tex]

Hope it helps.

RainbowSalt2222

A textbook is 14/15 inch thick. How many
textbooks can be stacked on a shelf that is
56 inches high?

Answers

Answer:

60 textbooks

Step-by-step explanation:

1) 56*15:14=60

Answer:

60 textbooks

Step-by-step explanation:

To get the answer, you have to divide 56 by 14/15. What I'd do is id think of 56  

as 56/1. I'd change 14/15 into a multiplicative inverse/reciprocal, ending up with 15/14. From there, id multiply 56/1 and 15/14, ending up with 840/14.Using long division, id do 840 divided by 14, ending up with 60.

Rearrange the equation so xxx is the independent variable.
-5x-4y=-8
y=

Answers

Answer:

[tex]\displaystyle x = \frac{4y - 8}{-5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle -5x - 4y = -8[/tex]

Step 2: Solve for x

[Addition Property of Equality] Add 4y on both sides:                                   [tex]\displaystyle -5x = 4y - 8[/tex][Division Property of Equality] Divide -5 on both sides:                                [tex]\displaystyle x = \frac{4y - 8}{-5}[/tex]

Answer:

4y-8/ -5

Step-by-step explanation:

Please help me on this question.

Answers

Answer:

a(n)= 120(1/2)^(n-1)

Step-by-step explanation:

60*x=120, x=60/120=1/2 so the sequence goes by a ratio of 1/2

a(n)=b(c)^n-1 and c=1/2. b= a(1)=120 so the formula is a(n)= 120(1/2)^(n-1)

Answer:120(1/2)^(n-1)

Step-by-step explanation:

60*x=120, x=60/120=1/2 so the sequence goes by a ratio of 1/2

a(n)=b(c)^n-1 and c=1/2. b= a(1)=120 so the formula is a(n)= 120(1/2)^(n-1)

 

Integrate the following. ∫[tex]5x^{4} dx[/tex]
Option A: [tex]x^{5}[/tex]
Option B: [tex]5x^{5} +C[/tex]
Option C:[tex]5x^{5}[/tex]
Option D: [tex]x^{5} + C[/tex]

Answers

Answer:

[tex] \displaystyle D) {x}^{5} + \rm C[/tex]

Step-by-step explanation:

we would like to integrate the following Integral:

[tex] \displaystyle \int 5 {x}^{4} \, dx [/tex]

well, to get the constant we can consider the following Integration rule:

[tex] \displaystyle \int c{x} ^{n} \, dx = c\int {x}^{n} \, dx[/tex]

therefore,

[tex] \displaystyle 5\int {x}^{4} \, dx [/tex]

recall exponent integration rule:

[tex] \displaystyle \int {x} ^{n} \, dx = \frac{ {x}^{n + 1} }{n + 1} [/tex]

so let,

[tex]n = 4[/tex]

Thus integrate:

[tex] \displaystyle = 5\left( \frac{ {x}^{4+ 1} }{4 + 1} \right)[/tex]

simplify addition:

[tex] \displaystyle = 5\left( \frac{ {x}^{5} }{5} \right)[/tex]

reduce fraction:

[tex] \displaystyle = {x}^{5} [/tex]

finally we of course have to add the constant of integration:

[tex] \displaystyle \boxed{ {x}^{5} + \rm C}[/tex]

hence,

our answer is D)

The answer is D I just had this on a test.

Help me Guess just help pleaseeeee

Answers

Answer:

A, C, and D are the answers

I’m pretty sure c but I’m not to sure

Find the values for which the statement is true.
lxl=x

Answers

X is true, since it’s inside the lines it’s going to be positive and be equal to.
X should be right jshshhf

This is for my math class

Answers

Answer:

-25 feet

Step-by-step explanation:

We know that the change in altitude for the air balloon is -1500 feet, all within a span of 60 minutes, which then we are asked what is the rate of change.

To find the rate of change, we have to be able to divide a number by both sides that will not give us a decimal or very odd number. To avoid getting a decimal, divide both sides by 60.

-1500/60 = -25

60/60 = 1

So the rate of change would be -25 feet

It would be -25 feet because of how the altitude changes with her time

Ruth bought cupcakes for her sister's birthday party. 14 cupcakes had sprinkles on top. The other 21 cupcakes did not have sprinkles. What percentage of the cupcakes had sprinkles?

Answers

Answer:

40%

Step-by-step explanation:

total cupcakes: 14+21 = 35

Percentage with sprinkles = sprinkles / total

                                           = 14/35

                                           =.4

                                          = 40 %

Answer:

40%

Step-by-step explanation:

14 + 21 = 35

14/35 × 100 = 40

Therefore 40% of the cupcakes had sprinkles

If f(x) = -3x - 2
find f(-7)

Answers

Answer:

19

Step-by-step explanation:

this question means you have to place the value of -7 were there's x in the function.

f(-7)=-3(-7)-2

=21-2

=19

I hope this helps

it’s 19! have a good day!! xoxo

**TIMED** I need help

Answers

Step-by-step explanation:

from what I understand this should be the answer:

x. y

12. 7. Because y=x-5 and 7=12-5

30. 25 Because 25=30-5

15. 10 Because 10=15-5

Answer:

10

Step-by-step explanation:

15-5=10, simple.

Modeling Real Life

Question:

At a town hall meeting, 37/50 of the members are present. Of those who are present, 1/2 vote in favor of a new park. What fraction of the members do not vote in favor of the new park?
Fraction:_______

Answers

Answer is 17.5
Half 37.5
Put it into a decimal
The answer is 17.5 hopes this help

Find the radius, diameter, circumference and the approximate area for the circle in the image attached. To find the approximate area, please use 3.14 for π. SHOW WORK!

Answers

Radius: 3cm —> the radius is the line connecting the middle of the circle to the end of the circle

Diameter: 3cm * 2 = 6cm —> the diameter is a straight line between one end of the circle to the other end through the midpoint. All you have to do is multiply the radius by 2!

Circumference: π • d —> 3.14 • 6 = 18.84cm —> the circumference of a circle is the measurement of the outline

Area: πr^2 = 3.14 • 3^2 = 3.14 • 9 = 28.26cm^2 —> the area is the entire circle!
Heres the answer
Hope it helps !

I will rate 5 stars to anyone who answers first. A number cube is rolled. What is the probability that a number greater than 4 will be rolled? (5/6), (1/3), (2/3) (1/6).

Answers

1/3 because i took the test and it was right

Answer:1/3

Step-by-step explanation:

There are 6 sides and 2 numbers more than 4

Put that info into a fraction 2/6

Then simplify 1/3

The amounts of paper waste generated in a region during two years were 41,300,000 tons and 50,500,000 tons. What was the total paper waste generated over these two years in the region, expressed in scientific notation?

91.8 ⋅ 107 tons
91.8 ⋅ 1014 tons
9.18 ⋅ 1014 tons
9.18 ⋅ 107 tons

Answers

imma guess 107 tons sorry

Answer: [tex]9.18 x 10[/tex]⁷[tex]tons[/tex]

Step-by-step explanation:

Given: The amounts of paper waste generated in a region during two years were 41,300,000 tons and 50,500,000 tons.

Then, the total paper waste generated over these two years in the region :-

[tex]41,300,000 + 50,500,000 = 91,800,000[/tex]

In scientific notation,

[tex]91,800,800 = 9.18 x 10[/tex]⁷

Hence, the total paper waste generated over these two years in the region =

[tex]9.18 x 10[/tex]⁷  [tex]tons[/tex]

I hope this answer helps you out. Brainliest would be appreciated. Have a nice day :D

A dozen more than a number minus twice the number

Answers

X•2+12 I’m not sure if that’s what you’re looking for though
(x + 12) - 2x. i think that’s it lol

Are x and y inversely proportional in the table below?

x: 0.1 0.3 25 100
y: 200 40 0.8 0.2

Answers

Answer: yes they are

Example: if you don’t believe me check for yourself :)
answer- yes they are!.

Please help me asap! I will give brainly!

Answers

Answer:

Water (cups): 14, 28, 42, 56, 70

Lemon Juice (cups): 2, 4, 6, 8, 10

Divide the number of cups of water by 7 to find the number of cups of lemon juice.

Answer:

See photo

Step-by-step explanation:

Completing the rule:

With the water, you add 14 each time. They started at 14 and added another 14 to get 28. Then you add 14 to 28 and get 42, and so on.

with the lemon juice, it’s very similar except you’re adding 2 each time. They started at 2 and added another 2 to get 4. Then you add 2 and get 6, and so on.

The final question:

This last blank is asking what number you divide the water by to get the lemon juice. If we use fact families, you can take the 14 (from water) and divide it by 2 (from lemon juice) to find that 7 is you missing number. You’ll then be able to plug 7 in to the following numbers. 28 divided by 4 is 7, 42 divided by 7 is 6, etc.

Rewrite 18y • 4x using the commutative property.

Answers

Answer:

(1)18y x 4x(1)

Step-by-step explanation:

I think that the answer to the question is 72xy

HELP this stem and leaf plot represents test scores of students in a math class if two test score 68 and 75 are added to the data which statement will be true

Answers

Is there supposed to be answer choices?

First you would need to find the median, mode, and range.

60 68 68 71 71 72 75 75 75 83 83 85 87 87 89 90 95 95 98 98

due to no answer choices, I am going to show you the basics of the plot before the 2 scores are added.

Answer:

Option A) The Median will change; the mode will stay the same

Step-by-step explanation:

Just did the Test on T4L and got it right :) Hope this helped (Pls mark me as brainliest)

A bouquet of flowers contains D daisies and T tulips and contains a total of F flowers. The number of daisies is two more than the number of tulips. Which equation matches this scenario?

A. D+2T=F
B. F−D+2=T
C. 2D+T=F
D. D+T+2=F
E. D+T=F+2

Answers

Answer: B (F-D+2=T)

Step-by-step explanation:

We know that daisies has 2 more than the tulips. (D+2 = T)

The answer is B

Flowers - Daises + 2 = T

Since daises has 2 more flowers than tulips, thats why theres a (+2)

bbbbbbbbbbbbbbbbb!!!!!!!!!!!!

can someone answer this

Answers

Answer:

3-5: 3+(-5) and -5+3

5-3: 5+(-3) and -3+5

Step-by-step explanation:

3+(-5) is 3 plus -5 which is simplified into 3-5

-5+3 can be rearranged to make 3-5

5+(-3) is 5 plus -3 which is simplified into 5-3

-3+5 can be rearranged to make 5-3

First
3+(-5)
Second
5+(-3)

Write an equation to represent each function.

(image attached)

Answers

5. the answer is y=1x+3
4) y=7x 5) y=x+3 i don’t know what else to put here but it told me i need at least 20 characters

​One-quarter of the top of a round wedding cake is covered in yellow roses. The top of the wedding cake has a diameter of 12 inches. Each yellow rose covers an area of 0.75 square inch. About how many roses were used to cover this section of the cake?

PLZ ANSWER QUICKLY AND ACCURATLY WILL MARK BRAINLIEST

Answers

Answer:

I believe the answer to your question is 38.

Step-by-step explanation:

Here is what I did: First, I found the radius, and to do that, I did 12 divided by 2, which gave me 6. then I did 6 divided by 2, to find the radius, of the radius I just found.  which gave me 3, then I did 3 times 12, which gave me 36, so the answer should be 38 :)

Answer:

8

Step-by-step explanation:

Which of the following information about the graph of the relationship is given?

Answers

B: A slope and y intercept
B. slope and y-intercept
Other Questions
Miller and Sons' static budget for 10,500 units of production includes $41,000 for direct materials, $50,300 for direct labor, variable utilities of $7,600, and supervisor salaries of $14,600. A flexible budget for 12,100 units of production would show Round your final answer to the nearest dollar. Do not round interim calculations. a.the same cost structure in total b.direct materials of $47,248, direct labor of $57,965, utilities of $8,758, and supervisor salaries of $14,600 c.direct materials of $47,248, direct labor of $57,965, utilities of $8,758, and supervisor salaries of $17,520 d.total variable costs of $113,500 Express 6revolutions to radians Which graph represents the function h(x) = |x 3|? On a coordinate plane, an absolute value graph has a vertex at (0, 3).On a coordinate plane, an absolute value graph has a vertex at (0, negative 3).On a coordinate plane, an absolute value graph has a vertex at (3, 0).On a coordinate plane, an absolute value graph has a vertex at (negative 3, 0). Guillermo's Oil and Lube Company is a service company that offers oil changes and lubrication for automobiles and light trucks. On average, Guillermo has found that a typical oil change takes 24 minutes and 6.2 quarts of oil are used. In June, Guillermo's Oil and Lube had 980 oil changes. Guillermo's Oil and Lube Company provided the following information for the production of oil changes during the month of June: Actual number of oil changes performed: 980 Actual number of direct labor hours worked: 386 Actual rate paid per direct labor hour: $14.50 Standard rate per direct labor hour: $14.00Required:a. Calculate total direct labor variance for oil changes in June?b. Calculate The Direct Labor Rate Variance (LRV) and Direct Labor efficiency variance (LEV) Complete the paragraph proof.Given: and are right anglesLine segment A B is-congruent-to line segment B C Line segment B C is-congruent-to line segment A CProve: Line A R bisects Angle B A C can you answer the question it's urgent plzz 'chado' is a tea ceremony in Your division is considering two investment projects, each of which requires an up-front expenditure of $17 million. You estimate that the investments will produce the following net cash flows: Year Project A Project B 1 $4,000,000 $20,000,000 2 10,000,000 10,000,000 3 20,000,000 6,000,000Required:a. What are the two projects' net present values, assuming the cost of capital is 5%?b. What are the two projects' net present values, assuming the cost of capital is 10%?c. What are the two projects' net present values, assuming the cost of capital is 15%?d. What are the two projects' IRRs at these same costs of capital? Assume the speed of sound is 343 m/s. You are sitting 150 m away from home plate at a baseball game. How much time in seconds elapses between the batter hitting a home run and the moment you actually hear the batter hitting the ball at what angle should the circular road be banked so that a car running at 50 km per hour be safe to go round the circular from of 200m radius Grasshoppers are distributed at random in a large field according to a Poisson process with parameter a 5 2 per square yard. How large should the radius R of a circular sampling region be taken so that the probability of finding at least one in the region equals 0.99? Universal Air is a no-growth firm and has two million shares outstanding. It expects to earn a constant $20 million per year on its assets. If it has no debt, all earnings are paid out as dividends, and the cost of capital is 10 percent, calculate the current price per share of the stock. Entry for Jobs Completed; Cost of Unfinished JobsThe following account appears in the ledger prior to recognizing the jobs completed in August: Work in ProcessBalance, August 1 $8,920 Direct materials 72,520 Direct labor 78,230 Factory overhead 41,120 Jobs finished during August are summarized as follows:Job 210 $36,140Job 216 22,090Job 224 42,170Job 230 78,310a. Journalize the entry to record the jobs completed.b. Determine the cost of the unfinished jobs at August 31.$ Which expression is equivalent to (3a)2? Your only child will go to college 10 years from now. Your salary is $80,000 a year, and is expected to rise with inflation, which is about 3% annually. Tuition is currently about $40,000 a year, but growing by 5% yearly. What percentage of your salary would go to pay for the first year of your child's college education This is my last problem guys please help me have you ever studied abroad? how can we utilise our fundamental rights Una empresa de comunicaciones internacional ofrece paquete de servicios de internet por demanda y que incluye un cargo fijo mensual. Si el cargo fijo es de $8000 y el costo por MB consumido es de $ 34, entonces el costo por consumo de 512 Mb es de: Why monosaccharides are sweet whereas polysaccharide are not