Question
The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.
Answer:
[tex]Hypotenuse:37.56[/tex]
[tex]Other\ Legs: 26.56[/tex]
Step-by-step explanation:
Let the hypotenuse be y and the other legs be x.
So:
[tex]y = 11 + x[/tex]
Required
Determine the exact dimension of the triangle
Using Pythagoras theorem;
[tex]y^2 = x^2 + x^2[/tex]
[tex]y^2 = 2x^2[/tex]
This gives:
[tex](11+x)^2 = 2x^2[/tex]
Open bracket
[tex]121 + 22x + x^2= 2x^2[/tex]
Collect like terms
[tex]2x^2 - x^2 -22x - 121 = 0[/tex]
[tex]x^2 -22x - 121 = 0[/tex]
Using quadratic formula:
[tex]x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \frac{-(-22)\±\sqrt{(-22)^2 - 4*1*-121}}{2*1}[/tex]
[tex]x = \frac{-(-22)\±\sqrt{968}}{2*1}[/tex]
[tex]x = \frac{22\±31.11}{2}[/tex]
Split
[tex]x = \frac{22+31.11}{2}\ or\ x = \frac{22-31.11}{2}\\[/tex]
[tex]x = \frac{53.11}{2}\ or\ x = \frac{-9.11}{2}[/tex]
x can not be negative.
So:
[tex]x = \frac{53.11}{2}[/tex]
[tex]x = 26.56[/tex]
Recall that:
[tex]y = 11 + x[/tex]
[tex]y = 11 + 26.56[/tex]
[tex]y = 37.56[/tex]
Hence, the dimensions are:
[tex]Hypotenuse:37.56[/tex]
[tex]Other\ Legs: 26.56[/tex]
Consider the pair of triangles given below. If MPN ~ XYZ then the length of side PN is?
Answer:
the answer should be 9, im not sure tho I vaguely remember this
HELP ASAP. I only have 30 minutes left to complete 5 more questions. I will award Brainly and 100pts to whoever can solve this for me. I need help ASAP. This is timed. This is also for a college and high school course. I risk failing if I don't get the correct answer to this. HELP ASAP PLZ. This is slope intercept form
Answer:
y = 2x - 22
Step-by-step explanation:
y = 2x + 1
Parallel slope: 2
(7, -8)
y - y1 = m(x - x1)
y + 8 = 2(x - 7)
y + 8 = 2x - 14
y = 2x - 22
Answer:
Solution given:
equation of line 1 is:
y=2x+1
2x-y+1=0.......[1]
slope of line 1 is
m1=[tex] \frac{ -coefficient \:of\: x }{coefficient\: of \:y} [/tex]
[tex] \frac{ - 2}{ - 1} = 2[/tex]
Since the lines are parallel than slope of another line m2=m1=2
It passes through (x1,y1)=(7,-8)
equation of a line is:
(y-y1)=m2(x-x1)(y+8)=2(x-7)y+8=2x-142x-y=8+142x-y=22[tex] \frac{2x}{22} - \frac{y}{22} = 1[/tex][tex] \frac{x}{11} - \frac{y}{22} = 1[/tex]is a required equation of a line in slope intercept form.
Which of the following represents 4 square root x3 in exponential form?
1) x^3/4
2) x^4/3
3) 4x^3
4) 3x^4
Answer:
3
Step-by-step explanation:
im in 8th grade this is what were doing right now
Are the two flags similar? If so, which triangle similarity theorem did you use to make your conclusion?
Answer:
NOStep-by-step explanation:
I THINK THE RIGHT ANSWER IS RHS THEOREM.Give the solution to the system
Answer:
f(x)=x+2g(x)=-1(x-4)f(x) represents the red line
g(x) represents the green line
if the variable x = 1
1+2=-1(1-4)3 = -1(1×(-3))
3 = -1×(-3)
3 = 3
what is the area of these parallelograms? 1. the perimeter is 33
2. the perimeter is 64
Answer:
4.5 + 4.5 + 7.5 + 3 + 9 + 4.5 = 33 is the perimeter of the first shape
The area is (4.5 x 7.5) + (3 x 9) = 60.75
(Cut the figure)
Perimeter of the Second Shape is:
22 + 22 + 10 + 10 = 64
Area is: 22 x 10 = 220
Area of a parallelogram is: L x W
If A=D and C=F, which additional statement does NOT alloy you to conclude that ABC=DEF
Answer:
A
Step-by-step explanation:
i think its a because its saying which one does not allow you to conclude that both triangles are congruent but the other ones are talking the sides and a is the only one thats talking about the angles. so i dont really know if its right but thats just an educated guess.
Help! The two triangles are similar. WHAT IS THE VALUE OF YX?
Answer:
I'm sorry I don't know how to put in words of how to solve but the answer would be
ZY = 3 ft
XY= 7.42 ft
Can someone pleaseee help me
Answer:6
Step-by-step explanation:
Vertical angle proof. 4x is equal to 24 so 24/4=6 and x is 6
Write the number in 2 equivalent forms as a fraction, decimal, or percent.0.40
Answer:
2/5 or 40%
Step-by-step explanation:
.40 is 40 hundredths or 40/100
40/100 can be reduced to 20/50 and reduced again to 10/25 and one more time to 2/5
Percentages are fractions out of 100 so 40/100 would be 40%.
6= x−15
What does 'X' equal?
Answer:
x = 21
Step-by-step explanation:
6 = x - 15
x = 6 + 15
x = 21
Hope that helps!
Answer:
x=21
Step-by-step explanation:
move all the terms that don't contain x to the right side and solve.
Write a function that represents the total cost of your family's outing to the soccer game after x hours.
Answer:
Please attach an image.
f(x) = (cost)x
Answer:
c=s*x
Step-by-step explanation:
C will be the total cost of our family's outing to the soccer game
While x will be the hours
and S will be the soccer game
So s*x will equal the cost
Making c=.
Hope this helps!
:D
I need the answer pliss
Answer:
Im sorry never did this before
PLSSSSSS HELPPPPP ASAPPPP
Answer:
I believe its C
Step-by-step explanation:
If you take the coordinates of each point then you will realize all of them went 1 unit up and 9 units to the left.
What is the total surface area??Please help me I’m so confused i have a test tomorrow
Answer:
216 :)
Step-by-step explanation:
There are five sides in total. To find the total surface area we have to find the area of each side.
Let's start off easy with the rectangle at the base. The width and length are 7 and 6, which gives us an area of 42.
The rectangle with dimensions of 8 as the length and 7 as the width gives us an area of 56.
The rectangle with a length of 10 and a width of 7 gives us 70 as an area.
The two triangles are congruent, so all we have to do is find the area of one and multiply it by two. The formula for an area of a triangle is 1/2(bxh)-or the two legs multiplied by each other and then divided by 2. The length of one of the legs is 8, and the other is 6. That gives us 48, which we will then divide by 2 to give us a total area of 24. Now we have to multiply that by two because there are two triangle sides on this figure and they are congruent. That gives us a product of 48.
Now we add up all the areas of each side:
42 + 56 + 70 + 48 = 216
Number m less than 5
Answer:
....
Step-by-step explanation:
Answer: 1, 2, 3, 4.
Step-by-step explanation: When you count to five, the numbers that are listed above, (1, 2, 3, 4) are the right answers
Help!
This is for Patterns, Functions, and Algebra!
Answer:
C.
Step-by-step explanation:
The answer is C
SOMEONE !!! I’ll mark brainliest !!
Answer:
60
Step-by-step explanation:
45/9=5 an 12x5=60
jus trust
Answer:
60
Step-by-step explanation:
45÷9=5, and 5×12=60
I.e. he can buy 5 sets of 12 jars, which is 60 jars in total
the product of 700 and 4000 expressed in scientific notation is
Answer:
caca
Step-by-step explanation:
caca
Yep pls ASAP
Fifufhucuwhhciw
Answer:
10 2 28
9 3 30
8 4 32
7 5 34
6 6 36
One leg of a right triangle is 7 and the hypotenuse is 10. What is the length of the
other leg?
Answer:
L = 7.14
Step-by-step explanation:
using the Pythagorean theorem:
L² = 10² - 7²
L² = 100 - 49= 51
L = 7.14
Answer:
7.14
Step-by-step explanation:
to answer this you need to use pythagoras theorem and that is A²+B²=c²
in this case C²-A²=B²
10²=100
7²=49
100-49=51
then you need to square root 51 which gives your answer 7.14
An isosceles triangle has an angle that measures 90 degrees. Which other angles could be in that isosceles triangle? Choose all that apply. (90), (45), (25), or (80)
Answer:
45°
Step-by-step explanation:
90 + 2(45) = 180
90 + 2(25) ≠ 180
90 + 2(80) ≠ 180
90 + 2(90) ≠ 180
Given right triangle HJK, which of the
following ratios is equivalent to cosH?
Answer:
cosH = JH/KH
Step-by-step explanation:
coa refers to base by hypotenuse
for H,
the base is JH and the hypotenuse is KH.
In the given right angled triangle cos H is equivalent to sin K
What is right angled triangle?A triangle in which one of the interior angles is 90° is called a right triangle
Here,
Cos H = Adjacent side / Hypotenuse = [tex]\frac{JH}{KH}[/tex]
In the given option
sin K = Opposite side / Hypotenuse[tex]=\frac{JH}{KH}[/tex]
Therefore Cos H is equivalent to the sin K
Hence, sin K is equivalent to the cos H
Learn more about right angled triangle here
https://brainly.com/question/3770177
#SPJ2
A trader bought 20 cups of rice at 5 cups for 100 naira and sold them at 4 cups for 100naira . what was his profit
Answer:
He is making 20 naira profit for every 4 cups that he sells for 100 naira
Therefore, if he selled all this cups for 100 naira per 4 cups he made a total profit of 100 naira
Sean bought a laptop and a printer. He sold both items for £1,500 getting £1,300 just for the laptop. Sean made a 46% profit on the cost of the printer. What was the cost of the printer? Give your answer to 2 decimal places.
Answer: £137
Step-by-step explanation:
Since Sean sold both items for £1,500 getting £1,300 just for the laptop, the slave price of the printer will be:
= £1500 - £1300
= £200
Since we are informed that Sean made a 46% profit on the cost of the printer, the cost of the printer goes thus:
= £200 /(1 + Profit percent)
= £200 / (1 + 46%)
= £200 / 1.46
= £136.99
= £137 approximately
identify the zeros of the polynomial function .
Step-by-step explanation:
To start, every term has an
x
in common, so we can factor that out. Doing this, we get
x
(
x
2
+
x
−
42
)
=
0
What I have in blue can be factored by a thought experiment. What two numbers have a sum of
1
and a product of
−
42
?
After some trial and error, we arrive at
−
6
and
7
. Thus, this business can be factored as
x
(
x
−
6
)
(
x
+
7
)
=
0
We can leverage the zero product property here, setting all three terms equal to zero. As our zeroes, we get
x
=
0
,
x
=
6
, and
x
=
−
7
A dolphin jumps from the water at initial velocity of 16 feet per second. The equation h= -16t^2+80t models the dolphin's height at any given time, t. what is the maximum height the dolphin jumps?
a) 1 foot
b) 5 feet
c) 96 feet
d) 100 feet
Answer:
d) 100 feet
Step-by-step explanation:
The x value of the vertex (highest point in this case) is found via -b/2a:
-80/-32 = 2.5
Plug 2.5 into the function:
h(2.5) = -16(2.5)² + 80(2.5)
= - 100 + 200 = 100
Harper has a mask collection of 400 masks. She keeps 21% of the masks on her wall. How many masks does she keep on her wall?
Answer:
84
Explanation:
400 × 21%
= 400 ÷ 100 x 21 (because 21% = 21/100)
= 84
i hope this helps! :D
How do you solve this
PLEASE IM BEGGING YOU HELP ME PLEASE PLEASE ILL GIVE BRAINLIEST!!
Answer:
x = 1
Step-by-step explanation:
Note that the side lengths of a 45-45-90° triangle is 1 , 1 , √2, with √2 being the hypotenuse and 1 signifying the legs.
In this case, the hypotenuse given is √2. Divide triangle measurement √2 with the measurement of the rule √2 to get the side length:
√2/√2 = 1
x = 1
1 is your answer for x.
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