In a certain triangle two sides have lengths 5 and 13. The angle between them is 49

degrees. What is the area of the triangle?

Answers

Answer 1

Answer:

Area = 24.54

Step-by-step explanation:

two sides have lengths 5 and 13.

Let the two sides be;

a = 5

b = 13

The angle between them is 49

C = 49°

Let the third side be c

Thus, using cosine rule, we can find the side c.

c² = a² + b² - 2ac•Cos C

Plugging in the relevant values, we have;

c² = 5² + 13² - 2(5 × 13)Cos 49

c² = 25 + 169 - 130(0.6561)

c² = 108.707

c = √108.707

c = 10.43

Since we now have 3 sides, from herons formula, we can find the area;

Area = √[p(p − a)(p − b)(p − c)]

Where p is half of the perimeter = (a + b + c)/2 = (5 + 13 + 10.43)/2 = 14.215

Thus;

Area = √(14.215(14.215 - 5)(14.215 - 13)(14.215 - 10.43))

Area = √602.4

Area ≈ 24.54


Related Questions

the difference between seven times a number and one more than five times the number and one more than twenty seven

Answers

28



28 is one more than 27

heeeeeeeeeeeeeeeeeeeelllllppp​

Answers

Answer:

120 degrees.

Step-by-step explanation:

All the angles in a triangle add up to 180. You have two of the angles given:

50 degrees and 70 degrees

To find the third angle of the triangle (BAC), use the expression:

180 - (50 + 70)

180 - 120

60

So, the third angle in the triangle is 60 degrees. Looking at angle DAB, you can see that it forms a straight line with angle BAC. A straight line is 180 degrees. Since we know BAC is 60, and BAC + DAB = 180, by doing 180 - 60, you can see that angle DAB is 120 degrees.

SSS & SAS proofs practice
I NEED HELPING ANSWERING THE LAST TWO PLEASEEE!!!! thank you!

Answers

Answer:

4. Corresponding angles of congruent triangles. ( Angle)

5. Common side. (Side)

6. From 1, 4, and 5. (SAS axiom)

Step-by-step explanation:

find the side of a right triangle

Answers

The 2 sides of the right triangle is 25 and 24.

Any multiple of a Pythagorean triple is also considered a Pythagorean triple. Multiplying 3, 4, 5 by 2 gives 6, 8, 10, which is another triple. To see if a set of numbers makes a Pythagorean triple, plug them into the Pythagorean Theorem.

3,4,5     5,12,13     7,24,25    8,15,17     9,12,15

Final Result: 25,24

Please help!! 10 points for it

Answers

Answer:

132+54+90=276

360-276= 84

Step-by-step explanation:

a circle has 360° so subtract all the given angles to find the missing one. yu can subtract each one by one or add all the given angles and subtract which I did

Answer:

x = 84

Step-by-step explanation:

a full circle is 360 and that small square means a right angle and right angles are always 90 degrees so 360-90-132-54=84

SIMPLIFY IT PHOTO IS UP I WILL MARK IT BRAINLIEST

Answers

Step-by-step explanation:

Notice that

9y² - 4xy + 4x²/9 = (3y - 2x/3)².

Therefore (9y² - 4xy + 4x²/9) / (3y - 2x/3)

= (3y - 2x/3).

Answer:

(9y²-4xy+4x²/9)/(3y-2x/3)

={(3y)²-2(3y)(2x/3)+(2x/3)²}/(3y-2x/3)

=(3y-2x/3)²/(3y-2x/3)

=(3y-2x/3)

(3y-2x/3) is the right answer.

how to i find the lowest terms of a ratio 12 minutes to 3 hrs ?​

Answers

Answer:75 minutes. Pls brainless..

Step-by-step explanation:

In order to express a ratio in the simplest form, we find the HCF of the terms ... 60/48 (divide both the numerator and denominator by 12 since, the h.c.f. of 60 ... (vi) 3 hours to 75 minutes.

The answer is to this question is 75

Jen fills her has tank up with 12 gallons of gas for $30.60. How much will it cost to fill up a 17-gallon tank?

Answers

Answer:

$43.35 (I believe)

Step-by-step explanation:

I tried to find the price to fill up 1 gallon by dividing the $30.60 by 12. 30.6/12 = 2.55 and then I multiplied $2.55 by 17 and got $43.35

N= 17 and P=0.8 is it suitable to use a normal distribution

Answers

Answer:

Since n(1-p) < 10, it is not suitable to use a normal distribution.

Step-by-step explanation:

Suitability of the normal distribution:

In a binomial distribution with parameters n and p, the normal approximation is suitable is:

np >= 10

n(1-p) >= 10

In this question, we have that:

n = 17, p = 0.8. So

np = 17*0.8 = 13.6 -> Ok

n(1-p) = 17*0.2 = 3.4 -> No

So, since n(1-p) < 10, it is not suitable to use a normal distribution.

Tim runs 3 miles every 45 minutes. At this rate, how long did it take Tim to run 18 miles?

Answers

Answer: 270 minutes or 4 hours and 30 minutes

Step-by-step explanation: 3x6 =18  and 45 x 6= 270

Which describes the relationship between the x- and y-values in the scatter plot?
A)
no association
B)
linear association
C)
positive association
D)
nonlinear association
PLSSS ITS FINNA BE DUE

Answers

Answer:

C) possitive association

Step-by-step explanation:

Answer:it would be (d)

Step-by-step explanation:

to advertise o radio,the radio station charges 32naira for the first 10 words and 2naira per word for every additional word.how much will it cost to place an advertisement of 68 words on radio?​

Answers

Answer:

Cost for 68 words = 148 naira

Step-by-step explanation:

Given that:

Cost of first ten words = 32 naira

Cost of additional words = 2 naira per word

Let,

x be the number of additional words.

y be the total cost

y = 2x + 32

We have to find the cost for 68 words.

The cost of first 10 words will be 32 naira.

Additional words = 68 - 10 = 58 words

Putting x = 58 in the equation

y = 2(58) + 32

y = 116 + 32

y = 148

Hence,

Cost for 68 words = 148 naira

ok real quick question how does your teacher give you a D on one of your assignments after they just signed you up for an honor class?
an honor class is something that helps with your collage and could raise you up a grade but my teacher goes ahead and gives me a D she must be missing brain cells right she has to be because that is ridiculous

Answers

Answer:

when the signed you up for the honor class they probably expected you to know more

Answer: knowing what an honors course is, she probably thought you were good at the subject. Just because you got one bad grade on an assignment, doesn't mean that you can't be in an honors course. (That... or she really is missing a brain cell or 2)

Step-by-step explanation:

What is the unit cost per bottle if a pack of 6 bottles of juice sells for $4.80?

$0.28 per bottle
$28.80 per bottle
$0.80 per bottle
$8.00 per bottle

Answers

Answer:

$0.80 per bottle

Step-by-step explanation:

[tex]\frac{4.80}{6}[/tex] = total cost / units

= 0.80

Answer:

$o.80

Step-by-step explanation:

4.80 divided by 6 equals 0.8

0.8 can also be 0.80

18x-(-3x+9)help!!! Please

Answers

Answer:

21x - 9

Step-by-step explanation:

Combine the following like terms 8y - y =

Answers

Answer:

7y

Step-by-step explanation:

y = 1y

8y - 1y = 7y

A student was studying the relationship between how much money students spend on food and on entertainment per week. Based on a sample size of 270, he calculated a correlation coefficient (r) of .013 for these two variables. Which of the following is an appropriate interpretation?
A.This low correlation of .013 indicates there is no relationship.
B. There is no linear relationship but there may be a nonlinear relationship.
C. This correlation indicates there is some type of linear relationship.

Answers

Answer:

a

Step-by-step explanation:

1y1yyyyggyyuuuu88888

What is the y-intercept of the graph of 12x-4y=24

Answers

Answer:

l;km';lliJZIOSoao0swodkcxllcsdpl

sa l splpdsl

Step-by-step explanation:

sd ,.mdnaklkMOSDIA IJDOISJM

Game cards go for $3 for 10 cards. If Angelina spent $18 on cards, how many cards does she have
in total?

Answers

Answer:

She has 60 Cards

Step-by-step explanation:

3=10

3 times 6= 10 times 60

60 cars

Answer:

60 cards

Step-by-step explanation:

Because 3 divided by 10 is .3 and .3 divided by 18 is 60

diego boils 10 cups of water. how many cups of oats should he add into the water

Answers

Answer:

the answer is 5 cups. Hope this helps

Answer:

4 cups of oats.

Step-by-step explanation:

That’s 0.4 cups of oats per cup of water. The ratio of the cups of water to the cups of oats is . That’s 2.5 cups of water per cup of oats.

Pls help I need a good grade on this

Answers

Answer:

t = - 37.4

Step-by-step explanation:

Given

4.4 = - [tex]\frac{t}{8.5}[/tex] ( attach the negative to 8.5 and multiply both sides by - 8.5 )

- 37.4 = t

Answer:

-37.4

Step-by-step explanation:

4.4 x -8.5 = -37.4

Hope this helps!

What does 5*9+1;12 =

Answers

Answer: if im reading this correctly: 45.0833333333333333333333333

Step-by-step explanation:

Answer:

The answer would be 541/12 but for the simplified answer it would be 45 1/2 hope this helps!

Kendall ran 3 ¼ of a mile on Saturday. She ran five times as much on Sunday. How much did Kendall run on over the weekend?

Answers

Answer:

19 1/2 miles

Step-by-step explanation:

A man needed to sell a car. He priced it at $3,500 the first day. The second day he reduced the price by 15%. What was the price of the car after this reduction?

Answers

Answer:

$2,975.00

Step-by-step explanation:

15% off of $3,500 is $2.975

PLEASE HELP ASAP!!!
A new pair of sunglasses normally costs $50. These sunglasses are currently on sale for $12 off.
What percentage off (discount) are the sunglasses?

Answers

Answer: 24% off.

Explanation: You start by subtracting the amount off from the normal price to get $38. Then you divide 38 by 50 to get 0.76 or 76% which means that that is only 76% of the normal price. Then you subtract 76% from 100% to find how much the difference is, 24%.

Delaney plans to run at least 5 miles each week for her health. Delaney has a circular route in the neighborhood to run. Once around that route is 420 yards. If runs that route times during the​ week, will cover at least 30 ​miles?
A: No, because 5 miles is (8800) yards and 30 times around the route is ( ) yards.
B: Yes, because 5 miles is (8800) yards and 30 times around the route is ( ) yards.

Answers

Answer:

B: Yes, because 5 miles is (8800) yards and 30 times around the route is ( ) yards.

Step-by-step explanation:

Delaney plans to run at least 5 miles each week for her health. Delaney has a circular route in the neighborhood to run. Once around that route is 420 yards. If runs that route times during the​ week, will cover at least 30 ​miles?

Angle AOE has what measurement according to the protractor?

Answers

Answer:

140

Step-by-step explanation:

PENN

Hence angle AOE has a measure of 120 Degrees.

What is an Angle?

An angle is a combination of two rays (half-lines) with a common endpoint.

How To Solve:

When an angle is formed or drawn or opened clockwise , then we measure it using the upper scale of the protractor , and if the angle or its arc goes anticlockwise , we measure it using the bottom scale of the protractor.

According to the figure , the angle has been opened anticlockwise.

(Observe carefully , AOB , then AOC , AOD and so on. Suppose that O  is the center of a clock and OA is the needle which is moving anticlockwise from position OA, OB, OC and so on).

So we will use the bottom or lower scale of the protractor. Line Segment OE of angle AOE is bisecting the Lower scale of the protractor at 120 degrees.

Hence angle AOE has a measure of 120 Degrees.

Learn more about angles at:

https://brainly.com/question/25770607

#SPJ2

if Mr. Parsons bought 346 apples to make pies for his shop. Seven apples are needed for each pie.
If Mr. Parsons makes the most apples pies possible, how many apples will be left?

Answers

Answer:

14 apples will be left

Step-by-step explanation:

there

Answer:

125

Step-by-step explanation:

what do you think the motion is?
what are the examples that you know about?​

Answers

Answer:

I think its just like speed or feelings for me

(6x2-5x-26) divided by (x-3)

Answers

Answer:

Put it In gogle she will solve it !!

Step-by-step explanation:

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