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).
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°
Can someone help me please
9514 1404 393
Answer:
IS a parallelogram
Step-by-step explanation:
The slope formula for the slope of the line between points (x1, y1) and (x2, y2) is ...
m = (y2 -y1)/(x2 -x1)
The distance formula for the length of that same line is ...
d = √((x2 -x1)^2 +(y2 -y1)^2)
Here, you're asked to use each of these formulas 4 times, once for each side of the quadrilateral. I find it convenient to let a calculator or spreadsheet do the repetitive calculations. The result is attached.
The attachment shows that opposites sides have the same length and slope, so are parallel. The quadrilateral is a parallelogram. (The two points used in each calculation are the ones on the result line and the line immediately below. That is why point B is copied to the end of the list.)
_____
Additional comments
There are much simpler ways to prove the figure is a parallelogram. My favorite is to add the coordinates of the end points of the diagonals:
B +D = (-2+6, -9-3) = (4, -12)
C +E = (0+4, -5-7) = (4, -12)
These values being the same demonstrates the midpoints of the diagonals are coincident. That will only be the case if the quadrilateral is a parallelogram.
__
If you must use slope and distance formulas, showing either pair of opposite sides is parallel and have the same length is sufficient to guarantee that the other two sides are also parallel and have the same length. That is, the calculations required in this problem only need to be applied to one pair of opposite sides. (Using a spreadsheet, it's not a lot of extra work to do the calculations for both pairs of opposite sides.)
What is the slope of the line through the points (4, -7) and (9, 2)?
the answer
y/x so its 9/5
The diameter of a circle is 6 ft. Find its area to the nearest tenth.
Formulas:
A= πr²
d= 2r
Solving:
A=14πd²=14·π·6²≈28.27433ft²
Hope I helped. :)
- Valenteer
(Please mark me as brainliest if this helped, that would be beneficial!)
(Thx for the points!)
the population of a city decreased from 50000 to 45500 . what is the percentage decreased?
45500 = 91%
100 - 91 = 9%
What is the equation of the line that is parallel to y=-2/3x+4 and that passes through (–2,–2)?
Answers
-
-
-
y=-2/3x-4/3
y=-2/3x-10/3
y=-2/3x-2/3
y=-2/3x-17/4
Answer:
C) y= 2/3x -2/3
Step-by-step explanation:
(y-y1)=m(x-x1)
y+2=2/3(x+2)
y+2= 2/3x + 4/3
y= 2/3x -2/3
its a me MAAAAAAAAAAAAAAAAAAAAAAAAAAA
how big is the specific ocean?
how do i ask a question?
whats obamas last know btw? does ANYONE KNOW!!!!?!?!?!?!?
WHERE DO LOST SOCKS GO WHEN THEY GO MISSING??
why do my eyes hurt after looking at a picture of the sun;(
what would happen if i hired two private investigators to follow each other...
Answer:
1. The Pacific Ocean has an area of 63.78 million square miles, an average depth of 3,688 meters, and a volume of 660,000,000km cubed.
2. Use these guidelines when developing questions:
Plan your questions.
Know your purpose.
Open conversation.
Speak your listener's language.
Use neutral wording.
Follow general questions with specific ones.
Focus your questions so they ask one thing at a time.
Ask only essential questions.
3. I don't know XD
4. On an adventure that humans don't know about
5. Depends on the picture of the sun.
6. They would probably be so confused while they tried to follow each other XD
Step-by-step explanation:
Suppose there are 100 trout in a lake and the yearly growth factor for the populations is 1.5. Write the exponential equation for this population.
what is 187 divided by 9
355+480 is the same as 335+ ?
Answer:
355+480 is the same as 335+500
Step-by-step explanation:
355+480=835
835-335=500
∴355+480 is the same as 335+500
Find 17.3% of 286.1. Round to the nearest thousandth.
49 would be the answer I hope it helps
Answer:
Result = 49.495
Step-by-step explanation:
17.3% of 286.1=49.4953
rounded~49.495
Hope this helps as well
Which point on the scatter plot is an outlier?
A.) Point A
B.) Point B
C.) Point C
D.) Point D
Answer:
The outlier is A) Point A
Step-by-step explanation:
Hope this helps! <3
Stan has a rectangular piece of carpet with an area of 23.4 square meters. The piece of carpet is 13 meters long. What is the width of the piece of carpet? Solve this problem any way you choose.
Answer:
The breadth of rectangular carpet is 1.8 m
Step-by-step explanation:
23.4/13=1.8 sorry if this is not enough explanation
Someone plz help me I will give brainliest btw it’s not “decimals”
Answer:
It will not fit.
Step-by-step explanation:
The mat is 1/2 by 2/3. So, lets add that together.
1/2 + 2/3 = 7/6
Now there are 24 sixths in a fourth.
So subtract 24 - 4 = 17
Final answer would be 17/4. Still way to big to fit in the 1/4 step.
Hope this Helps!!:)
btw. Im back home now :)
The altitude of an airplane taking off from an airport is represented by
the equation shown, y = 500x + 1050, where y represents the altitude, in
feet, of the airplane and x represents the number of minutes since take-
off. What is the altitude of the airplane after 5 minutes?
Answer:
3550 ft.
Step-by-step explanation:
y = 500(5) + 1050
= 2500 + 1050
= 3550 ft,
C=0.4(285.7)+100
(No answer choices)
Answer:
c=214.28
plz mark as brainliest
Step-by-step explanation:
Answer:
C=0.4(285.7)+100
Step-by-step explanation:
C=0.4(285.7)+100
C= 114.28 + 100
C= 214.28
Lawrence has $50.
He wants to buy some T-shirts that cost $12 each.
He also wants to have at least $10 left to buy lunch.
Which inequality shows the number of T-shirts, x, Lawrence can buy and still have at least $10 for lunch?
A. x≤3
B.x≥3
C. x≤4
D. x≥4
Answer:
choice A) =<3
Step-by-step explanation:
x = number of shirts
50 -10 = x(12)
40 = 12x
x = 3 .33
Please answer step by step:
-4=2x+16
What does x equal?
x=____?
Answer:
Step-by-step explanation:
-4=2x+16
-16. -16
-20=2x
20/2=2x/2
10=x
(On right polynomial) help find equivalent (Left equivalent expressions)
Answer:
i
Step-by-step explanation:
i
write an equation of the form y equals MX for the line shown below if appropriate use the decimals for the slope 2.5 0.0
Answer:
y = 2.5x
Step-by-step explanation:
Explain the process for determining sales tax and total purchase price.
Answer:
in most states sales tax is .07 cents for every dollar you spend. for food it is different
Step-by-step explanation:
The equation represents the area, A, of a rectangle, in square units.
A = x2 – 3 – 6
Which expression could represent the length of the rectangle, in units?
O (2-3)
O (2-2)
Ox
O 6.2
Look up "Everything You Need To Know About Math In One Big Fat Notebook pdf." It's the best thing I've ever been given, I have it with me in math class all the time and I've aced every test.
33s^5t^4u^8 ÷ 11st^3u^8
Answer:
[tex]3s^{4}t\\[/tex]
Step-by-step explanation:
PLS HELP I dont know what t odo
Answer:
Y = 3/2x + 8
Step-by-step explanation:
Slope (AKA M) can be found searching for each point on the graph. Since the graph starts at 8 it is the Y intercept (AKA B)
percents and poprtions
Amir stands on a balcony and throws a ball to his dog, who is at ground level.The ball's height (in meters above the ground), x seconds after Amir threw it, is modeled by How many seconds after being thrown will the ball hit the ground?
Answer:
6 seconds
Step-by-step explanation:
The computation of the number of second would be
In the case when the ball would hit the ground, the ball height would be zero
So the following equation would be
[tex]0 = -(x -2)^2 + 16\\\\(x -2)^2 = 16\\\\x - 2 = \sqrt{16}\\\\x -2 = 4\\\\x = 6[/tex]
So the number of seconds is 6
Suppose f(x)= 4x – 2
and g(x) = -2x + 1.
Find the value of
f(-1)/g(-3)
Step-by-step explanation:
f(-1)=4*(-1)-2=-4-2=-6
g(-3)=-2*(-3)+1=6+1=7
f/g=-6/7
graph the line with slope -1/3 passing through the point (5,-4)
Answer:
Look at the image !!
Step-by-step explanation:
I hope this helps :D
Which symbol goes in the box to make this number sentence true?
6x _x + x +
+x+x
Answer:
The right answer is = so C ig
Which number is prime?
A. 21
B. 23
C. 25
D. 27
Answer:
23
Step-by-step explanation: