Mathematics High School

A triangle has two sides of 30 meters and 26 meters, and the angle between them is an obtuse angle. If the area of the triangle is 300 sq. Meters, find the measure of the obtuse angle (to the nearest degree).

Answers

Answer 1

Answer:

130°

Step-by-step explanation:

Using the formula

Area of the triangle = 1/2 absin theta

a and b are the sides

theta is the obtuse angle

Given

a = 30m

b = 26m

Area = 200m²

Required

theta

Substitute into the formula;

300 = 1/2(30)*(26)sin theta

300 = 15*26sin theta

300 = 390 sintheta

sin theta = 300/390

sin theta = 10/13

sin theta = 0.7692

theta = arcsin(0.7692)

theta = 50.28degrees

Since the angle is obtuse, it must lie between 90 and 180degrees

theta = 180-50.28

theta = 129.72°

Hence the measure of the obtuse angle to the nearest degree is 130°

Related Questions

Triangle ABC is reflected over the line y = 1. What are the coordinates of B'? (–2, 3) (–2, 5) (2, –3) (4, –3)

Answers

Answer:

(-2,5)

Step-by-step explanation:

From the figure in the attachment it is clear that when point B will be reflected about the line y= -1. The point B becomes (-2,5)

Answer:b-(-2,5)

Step-by-step explanation:

what is the first step to answer -3=x+5

Answers

Answer:

Step-by-step explanation:

-3=x+5

-5. -5

-8=x

Whatever the person on put

"Dan" uses 2/3 cup of brown sugar and 1/4 cup of white sugar to make oatmeal bars. How many cups of sugar does he use in all?

Answers

Answer:

the number of cups of sugar he use in all is [tex]\frac{11}{12}[/tex]

Step-by-step explanation:

The number of cups does he use in all as follows:

= Brown sugar + white sugar

[tex]= \frac{2}{3} + \frac{1}{4}\\\\= \frac{8 + 3}{12} \\\\= \frac{11}{12}[/tex]

Hence, the number of cups of sugar he use in all is [tex]\frac{11}{12}[/tex]

Find the missing lengths

Answers

Answer:

5 root 2 for both

Step-by-step explanation:

y=x= 10/root two

= 5 root 2

if my answer helps please mark as brainliest.

Answer:

x = 5*sqrt(2)

y = 5*sqrt(2)

Step-by-step explanation:

Because the triangle is a 45-45-90 triangle, 10 is equal to x * sqrt(2) and x = y.

x = 10 / sqrt(2)

When simplified:

10 / sqrt(2) = (10 * sqrt(2))  / 2 = 5 * sqrt(2)

A black shirt originally costs $23.00, then goes on sale for $17.25. What is the percentage discount?

Answers

Answer:

5.75 was te percentage discount hope it help you

17.25 / 23 = 75%
100 - 75 = 25% off

Find the y-intercept and write as a point (x, y)​

Answers

Answer:

(0,3)

Step-by-step explanation:

Answer:

The two points- (0,3) (-2,-1)

The y-intercept is (0,3)

The slope is 2

Someone help me please only 7, 8, and 9 thank you

Answers

7.  13.2 m

8. 44 in

9. 50.3 cm


Place the relative frequencies in their correct spots on the tables. Round your answers to the nearest hundredth.

Answers

Answer:

I can't place them it is a picture

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

13

Step-by-step explanation:

38- Blank:_____=12c+4+3c

Answers

Answer:

38-15c-4

Step-by-step explanation:

38-x=12c+4+3c

38-x=15c+4

x=38-15c-4

Please help quick for 25 points with explanations. Any silly and absurd answers will be reported.

Answers

Answer:

Note that the tangents to the circles at A and B intersect at a point Z on XY by radical center. Then, since∠ZAB=∠ZQA and ∠ZBA=∠ZQB. ∠AZB+∠AQB=∠AZB+∠ZAB+∠ZBA=180°. ∴ZAQB is cyclic.But if O is the center of w, clearly ZAOB is cyclic with diameter ZO, so ∠ZQO is 90° ⇒Q is the mid-point of XY.Then, by Power of a Point, PY· PX = PA · PB = 15 and it is given that PY+PX = 11. Thus,PX=(11±[tex]\sqrt{61}[/tex])/2. So, PQ=[tex]\frac{\sqrt{61} }{2}[/tex], PQ²=[tex]\frac{61}{4}[/tex]. Thus, the answer is 61+4=65.

Step-by-step explanation:

90 / 811 = 58 / x


Answer the porportion

Answers

Answer:

x = 522.64

Step-by-step explanation:

cross-multiply:

90x = 811(58)

90x = 47,038

x = 47038 / 90

x = 522.64


[tex] - 4 \leqslant 5x + 1 < 11[/tex]
i don't know how to slove it,please answer it​

Answers

Bdhdhdhfurjfjdhdhdhdhd

Which equation is NOT equivalent to p- 7 = 22? Select all that apply.
A. p-p-7 = 22-p
B. p-7-p = 22 -
C. p - 7 + 22 = 22 - 7
O
D. p - 7 + 7 = 22 - 22
Ep-7 + 7 = 22 +7

Answers

Answer:

c and d

Step-by-step explanation:

i hope this help

An observatory is shaped like a cylinder standing on one of its bases with a dome on top. The diameter of the floor of the observatory is 64 feet, as shown in the diagram. What is the measurement of the circumference of the base of the observatory in feet to the nearest hundredths place?

Answers

Answer:

201.14 ft

Step-by-step explanation:

C = 2 π r = π d

C = [tex]\frac{22}{7}[/tex] × 64 ≈ 201.14 ft

Answer:

3215.36

Step-by-step explanation:

C=πr²

C=3.14(32)²

C=3.14(32·32)

C=3.14(1024)

C=3215.36

Evaluate. 4 1/8 – 1 3/4

Answers

Answer:

3 2/8

Step-by-step explanation:

4 1/8 - 1 3/4 =

3/4 equals 6/8

4 1/8 - 1 6/8 =

do the math

4 1/8 - 1 6/8 = 3 2/8

hope this helps! Plz give brainlyest!

Please do at least one of them if someone already did one do the other :D

Answers

Answer:

LOL i belive its 200 because i did this exact same thing yesterday for homework and got it right, good luck on getting the question right! because i got it right for my homework!

Step-by-step explanation:

PLEASE HELP WITH THIS QUESTION, ILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

35-original drill set price

25% or .25-the additional price

markup in decimal form- 0.25

markup in percent form- 25%

Equation-35 + 25% or 0.25

35 + 25% = 43.75

1) A plane averaged 412 miles per hour on a trip that
lasted 3 3/4 hours. How far did the plane fly?

Please help !

Answers

412 x 3 = 1,236
Divide 412/4 = 103
Add 1236 +103 = total miles flown
You do the rest!

isabella earned $44.00 for 4 hours of work.How much was earned per hour

Answers

Answer:

11$ an Hour because

Step-by-step explanation:

Because 4 divided by 44 = 11.

isabella earned a total of $176.00!!

Log (x+1)=5

Please help I need to finish this can you please show the steps

Answers

hope this helps! if you don’t understand feel free to clarify

Mrs. Neville is baking five batches of cookies. She will need 2 \frac{1}{2} 2 1 ​ cups of flour for each batch of cookies. If she begins with a 20 cup bag of flour, what is the resulting change in the amount of flour in the bag?

Answers

Answer:

12.5 cups used

7.5 cups left

Step-by-step explanation:

Number of batches = 5

Cups of flour per batch = 2 1/2 cups

Initial amount of flour = 20 cup bag

After 5 batches ; number of cup used :

5 * 2 1/2 = 12.5 cups of flour

Change in amount of flour in bag :

(20 cups - 12.5 cups) = 7.5 cups

Find the sum of 0.333......and 0.444....​

Answers

Answer:

0.777......

Step-by-step explanation:

0.333...... + 0.444....​..

= 0.777......

Hope it helps :)

Please mark my answer as the brainliest

Step-by-step explanation:

The sum of 0.333.... and 0.444... is 0.777......

I need help with this

Answers

Answer:

B

Step-by-step explanation:

It's B

3^5 = 243

so the 5th root of 243 is 3

(x^7)^(1/5) = x^(7/5)

(y^10)^(1/5) = 7 ^(10/5) = 7^2

z^(21)^(1/5) = z^(21/5)

Help due in 5 minutes!!

Answers

Answer:

Put 5 in the box on the left side, then on the top, put 2 on the first box, and 3 in the second box, also on top

Step-by-step explanation:

Which set of ordered pairs could represent a function?
(12, –3), (12, 0), (12, 8), (12, 7)
(8, 3), (4, 9), (1, 1), (4, 2)
(5, 6), (6, 6), (7, 6), (8, 6)
(5, 5), (7, 7), (9, 9), (11, 12)

C and D both look correct???

Answers

Answer:

I think d is a one on one function while c is a function but a multiple relation function, sorry if im wrong

Rewrite in simplest terms: -8(7y-8)-3(7y-7)

Answers

Answer:

−77y+85

I hope I helped!

A car starts moving at 9:00 am and moves at a constant speed. At what time will the car be at the distance 200 miles from the starting point, if at 9:30 it was at 20 miles from it.

Answers

. i got the answer of 2:00

Step-by-step explanation:

yea

Answer:

1:30

Step-by-step explanation:

This is correct

what complex numbers graph is shown?​

Answers

Answer:

D.

Step-by-step explanation:

Took the test

(urgent please help!!!!)in computing the mean of 8 numbers, a student mistakenly used 17 instead of 25 as one of the numbers and obtained 20 as the mean. find the correct mean.
​

Answers

i believe the correct mean is 21!

Answer: 21

Step-by-step explanation:

The student's mean of the 8 numbers is 20; the total of the numbers will be

8 x 20 = 160

If we take out the 17 the  total will be 160 - 17 = 143

If we then replace the 17 with 25 the total rises to 168.

168 divided by 8 = 21

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