Answer:
16.7
Step-by-step explanation:
In a right triangle, a²+b²=c², with c representing the hypotenuse. In a right triangle, the hypotenuse is the side opposite of the right angle, or the angle symbolized by the square. Here, the right angle is opposite of the side with a length of 20, so we can say that
c = 20
Therefore,
a²+b² = 20², with a and b representing the other two sides*. Because 11 is given as another side, we can say
11² + b² = 20²
121 + b² = 400
subtract 121 from both sides
279 = b²
square root both sides
b = √279 ≈ 16.7 as the third side
* for our purposes, it does not matter which side is a and which side is b
TRIG EXPERTS!! PLZZZ HELP! I'LL GIVE BRAINLY TO HELPFUL ANSWER AND REPORT SCAMS!
Answer:
[tex]28.07^{\circ}[/tex]
Step-by-step explanation:
We can use basic trig. for a right triangle to solve this problem. In any right triangle, the tangent of an angle is equal to its opposite side divided by the hypotenuse (longest side) of the triangle.
The right triangle we're looking at involves the two dotted lines and an edge of the prism.
The bottom dotted line is a diagonal of the rectangular base of the prism. We can use the Pythagorean Theorem to find its length.
The Pythagorean Theorem states that for any right triangle, [tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle and [tex]c[/tex] is the hypotenuse.
In this case, the two legs are 9 and 12 and we are solving for [tex]c[/tex]:
[tex]9^2+12^2=c^2,\\81+144=c^2,\\225=c^2,\\c=15[/tex]
This is theta's adjacent side. Its opposite side is an edge of the prism labelled as 8 inches. Therefore, we have the following equation:
[tex]\tan \theta = \frac{8}{15}[/tex]
Take the inverse tangent of both sides:
[tex]\arctan(\tan \theta)=\arctan(\frac{8}{15})[/tex]
Simplify using [tex]\arctan(\tan\theta)=\theta, \theta \in (-90^{\circ}, 90^{\circ})[/tex]:
[tex]\theta=\arctan(\frac{8}{15}),\\\theta=28.07248694\approx \boxed{28.07^{\circ}}[/tex]
Simultaneous equation 2x-Y= -1 x-2y=4
Answer:
x + y = -5
Step-by-step explanation:
2x - x - y + 2y = -1 - 4
x + y = -5
if the hypotenuse of an isosceles right triangle has a length of 5 centimeters what is the length of one of the legs
Answer:
a =b = [tex]\frac{5\sqrt{5} }{5}[/tex]
Step-by-step explanation:
[tex]a^{2} +b^{2} = 5 ^{2}[/tex]
a = b
[tex]2a^{2} = 5 ^{2}[/tex]
[tex]2a^{2} = 25\\[/tex]
[tex]a^{2} = \frac{25}{5}[/tex]
a = [tex]\frac{5}{\sqrt{5} }[/tex]
must rationalize...
a =b = [tex]\frac{5\sqrt{5} }{5}[/tex]
In the given figure, identify a pair of perpendicular lines.
A) I and p
B) o and p
C) m and n
D) m and o
i’ll give brainliest
if the population of an anthill doubles every 10 days and there are currently 20 ants living in the ant hill, what will the ant hill population be in 20 days?
the prouduct of any two irrational number is
Answer:
mostly rational but sometimes irrational
square of 2x+3y.Please help me
Answer:
(2x+3y)^2
= (2x)^2 + 2(2x)(3y) + (3y)^2
= 4x^2 + 12xy + 9y^2
Answer:
4x^2 12xy +9y^2
Step-by-step explanation:
(2x+3y)^2
(2x+3y)(2x+3y)
FOIL
4x^2 + 6xy+6xy + 9y^2
4x^2 12xy +9y^2
Will Mark Brainlest helppp plss
Answer:
the required value of c is [ -11 -1
2 5]
convert six yard to feet
Answer:
18 feet
Step-by-step explanation:
To convert : multiply the length value by 3
=> 6 x 3
=> 18 feet
2. The ? states that the product of the extremes is equal to the product of the
means.
Answer:
proportion
Step-by-step explanation:
In a proportion, the means or the extremes (or both) may be interchanged. In proportion, the product of the means equals the product of the extremes.
hope it helps :)
mark brainliest!
Bro please help I will Mark you as brainlist
the first one is, yes by AA
the second is no you cannot
I need help ASAP!!Please explain the answer
Answer:
348
Step-by-step explanation:
Volume = Area of cross section x height
Area of cross section = 1/2bh
1/2 (12x5.8) = 34.8
34.8 x 10 = 348
Volume = 348km^3
Answered by g a u t h m a t h
A coin contains 9 grams of nickel and 161616 grams of copper, for a total weight of 25 grams.
What percentage of the metal in the coin is copper?
Answer:
64percents
Step-by-step explanation:
25-9=16 grams - weight of copper
(16/25)*100=64 percents
Can someone please help me find 120% of 55
Answer:
Below
Step-by-step explanation:
It's 66
To find a percentage of a number just multiply it by 0.whatever the percentage if that makes sense...
In this case you would do 55 x 1.2 = 66
Hope this helps!
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{120\% \ of\ 55}}\\\huge\boxed{= \dfrac{120}{100}\times55}\\\huge\boxed{= \dfrac{6}{5}\times\dfrac{55}{\bf 1}}\\\huge\boxed{= \dfrac{6\times55}{5\times 1}}\\\\\\\huge\boxed{6\times55=\bf 330}\\\boxed{5\times1=\bf 5}\\\\\\\huge\boxed{= \dfrac{330\div5}{5\div5}}\\\huge\boxed{=\dfrac{66}{1}}\\\huge\boxed{= \bf 66}[/tex]
[tex]\huge\boxed{\textsf{Therefore, your ANSWER is: 66}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
What is the simple interest at the end of two year for a loan of rupees 20000 at 10% intrest annum
Answer:
4000 rupees
Step-by-step explanation:
20000×10×2/100
= 4000 rupees
Which is the graph of y = [x]-2?
PLEASE HELP TIMED PLEASE
Answer:
3rd graph
Step-by-step explanation:
Round the number 553 to the tens place.
is it 550? because 3 is less than 5 so I replace it with a 0
Answer:
550
Step-by-step explanation:
To round 553 to the tens place, we would need to identify the value of the digit in the ones place.
If the digit in the ones place is greater than 5, we increase the tens place by 1 & convert the ones place into a 0.
If not, we leave the tens place as is & convert the ones place into a 0.
Since 3 is less than 5, we round 553 to 550 so you are correct.
Answer:
Yes
550 has 2 sig figs
553 has 3
Step-by-step explanation:
Х
32°
X =
degrees.
please
Answer:
58
Step-by-step explanation:
90+32= 122
180-122=58
Answer:
X = 122°
Step-by-step explanation:
A triangle has 180 degrees total in it. You need the degree next to the x in order to solve.
32° + 90° = 122°
180° - 122° = 58°
The line is 180°.
180° - 58° = 122°
So x - 122°
Sorry if this was hard to understand but I hope I helped :)
Yesterday the temperature was -7°C. Today it is 8°C. In degrees Celsius, what is the change in
temperature?
Answer:
cold to hot hope it helps
G is a transformation of f. The graph below shows f as a solid blue line and g as a dotted red line. What is the formula of g in terms of f?
Answer: f(x-2) which is choice A.
The blue f(x) curve is shifted 2 units to the right to get the red g(x) dashed curve.
============================================================
Explanation:
For now, ignore the red dashed curve g(x). Imagine that the blue curve f(x) is fixed in place. If we shifted the xy axis to the left 2 units, then this gives the illusion the blue curve is moving even though the curve is fixed in place.
The operation "shift xy axis 2 units to the left" means each x input is 2 units smaller. So each x input is now x-2.
Therefore, going from f(x) to f(x-2) will shift the blue curve 2 units to the right to land perfectly on the red dashed g(x) curve.
3x-4y=12
5x-2y=-8
I need the steps and answer to this equation.
Answer:
(-4,-6)
Step-by-step explanation:
3x-4y=12
5x-2y=-8
multiply #2 by "-2"
3x-4y=12
-10x-4y=16
add two equations
-7 x = 28
x= -4
plug in -4 to equation (1 or 2)
-12 - 4y = 12
-4y = 24
y = -6
(-4,-6)
Answer:
x = -4.
y = -6.
Step-by-step explanation:
3x-4y=12
5x-2y=-8 Multiply this equation by 2:
10x-4y = -16 Subtract this from the first equation:
-7x = 28
x = -4
Substitute thin in equation 2:
3*(-4) - 4y = 12
-12 - 4y = 12
-4y = 24
y = -6.
The coldest place is in Utah is Middlesink,near Logan.One day the temperature there was -17 degrees.You drive from Middlesink to salt lake where the temperature is 30 degrees.What is the change in temperature?
Explain.
Answer:
47 degrees
Step-by-step explanation:
The number system goes from negative numbers, to zero, to positive numbers. To get to zero from a negative number, you add the positive version of your number to get to zero. In this case we have to add 17 to get to zero. So our answer is 30+17. Because once we get to zero, we know there is 30 degress to get to the temp in Middlesink. So it is a 47 degree change.
a piece of work can be done by 24 men in 15 days.in how many days can 18 men do the same work?
18 people is 25% less people so will take 25% longer
25% of 15 is 3.75
3.75+ 15 = 18.75 days ?
Someone help me solve this please…
Answer:
x=5.5
Step-by-step explanation:
Perimeter of ABCD=85
The perimeter is everything around the outside added together.
Form an equation:
3x+4+4x+6x-11+5x-7=85
Collect the like terms:
Like terms are terms that have the same powers and coefficient.
3x+4x+6x+5x=18x
4-11-7= -14
Put it back into an equation:
18x-14=85
Do inverse operations to find out what x is:
85+14=99
18x=99
99÷18=5.5 (we divide because, in algebra, when a number is next to a letter, it means times and as we want the inverse, you would have to divide)
x=5.5
Hope this helps :)
Someone plz round 6.675 to the nearest hundredth
Answer:
6.68
Step-by-step explanation:
To round 6.675 to the nearest hundredth consider the thousandths’ value of 6.675, which is 5. Therefore, the hundredths value of 6.675 increases by 1 to 8.
6.675 rounded to the nearest hundredth = 6.68
Evaluate ab+bc+ca . If a²+b²+c²=50 and a+b+c=12
Answer:
ab+bc+ac=47
Step-by-step explanation:
(a+b+c)=12
Square both sides
a^2+b^2+c^2+2(ab+bc+ac)=144
2(ab+bc+ac)=94
ab+bc+ac=47
Answer:
ab + bc + ca = 47
Step-by-step explanation:
Using the algebraic identity
(a + b + c) = a² + b² + c² + 2(ab + bc + ca) , then
12² = 50 + 2(ab + bc + ca)
144 = 50 + 2(ab + bc + ca) ← subtract 50 from both sides
94 = 2(ab + bc + ca) ← divide both sides by 2
47 = ab + bc + ca
18. what is the equation of the line that passes through…
Answer:
Step-by-step explanation:
( - 3, - 1 )
m = [tex]\frac{2}{5}[/tex]
y - ( - 1 ) = [tex]\frac{2}{5}[/tex] ( x - ( - 3 ))
y + 1 = [tex]\frac{2}{5}[/tex] x + [tex]\frac{6}{5}[/tex]
y = [tex]\frac{2}{5}[/tex] x + [tex]\frac{1}{5}[/tex]
pls help :: geometry summer assignment
Answer:
140
Step-by-step explanation:
Left column = x
Right column = y
Rule = 3.5x = y
Because 42/12 = 3.5
3.5 * 40 = 120 + 20 = 140
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
HELP PLSSSSSSSSS i really need it right now
Step-by-step explanation:
A1= 3.5×9=31.5
A2=2×2=4
A3=(1/2) × 5×2=5
A4= (1/2)×2×2=2
At=A1+A2+A3+A4
At= 31.5+4+5+2
At=42.5
which equation shows 2.4 as the constant of proportionality?
Answer:
c a = 2.4b
Step-by-step explanation:
y = kx is the form of the equation where k is the constant of proportionality
y and x can be any letters
Replacing y and x with a and b and k with 2.4
a = 2.4b