Answer:
it is 32
Step-by-step explanation:
you multipy 8 buy 4 =32
James and Martha are discussing special right triangles. James believes that a 30-60-90 triangle with a hypotenuse of 10 feet has a greater perimeter than a 45-45-90 triangle with a hypotenuse of 10 feet. Martha disagrees. Who is correct?
Answer:
Step-by-step explanation:
Disclaimer it is up the student to verify all the geometry algabra and mathematical formulas and calculation .
cosФ = opp/hyp sinФ = adj/hyp hyp = 10 perimeter = a + b + c
for the 45° right triangle
a = b so 2a² = hyp² perimeter 45 = a + a + hyp
P45 = 2a + hyp a = sin(45) (hyp) = [1/2√2)] (hyp) sin(45) = (√2)/2
P45 = 2([1/2√2)] (hyp) + hyp
P45 = hyp (√2 + 1)
for the 30° right triangle
a = hyp×sin(30) b = hyp×cos(30) perimeter 30 = a + b + hyp
sin(30) = 1/2 cos(30) = (√3)/2
a = hyp(1/2) b = hyp(1/2)(√3)
P30 = a + b + hyp
= hyp(1/2) + hyp(1/2)(√3) + hyp
= hyp[ 1/2 + (1/2)√3 + 1]
= hyp[ 1/2 + (1/2)√3 + 1] factored out the hyp
= (1/2)hyp[ 1 + √3 + 2] factored out a 1/2
P30 = (1/2)hyp[ 3 + √3]
which is greater P45 or P30? vso I set both perimeters equal to each other
P45 vs P30
hyp (√2 + 1) = (1/2)hyp[ 3 + √3] the hyp cancel
(√2 + 1) = (1/2)[ 3 + √3] still tough to tell needed
1.414 + 1 = (1/2)[ 3 + 1.732] to go to the calsulator
2.414 vs 1/2( 4.732)
2.414 > 2.366 thus P45 > P30 < ----- Final Answer
Disclaimer it is up the student to verify all the geometry algabra and mathematical calculation.
Answer:
what he said
Step-by-step explanation:
-3 =
-11
What is the missing value
Answer:
-3-8=-11
Step-by-step explanation:
The missing value is -8 because if you add is to -3 then you will get -11 and -11 = -11
What is the Definition for alternate interior angles?
Alternate interior angles are angles formed when two parallel or non-parallel lines are intersected by a transversal.
Answer:
Alternate angles are that are in opposite positions relative to a transversal intersecting two lines.
Jasmine uses 14.24 pounds of fruit for 16 servings of fruit salad. If each serving contains the same amount of fruit, how much fruit is in each serving?
ratio equivalent 2 numbers
10:12
PLEASE HELP ME!!
write three to the power of two sevenths in radical form and explain?
Answer:
4782969
Step-by-step explanation:
Answer:
[tex]\sqrt[7]{3^{2}}[/tex]
Step-by-step explanation:
[tex]3^{2/7}[/tex]
^ That is 3 to the 2/7ths power. We know that. Now it needs to be in radical form. That takes a bit of thinking.
If you have a power that is less than one (like 1/2) it is can be written as a root. So say you're given [tex]2^{1/2}[/tex]. That is the same exact thing as saying [tex]\sqrt{2}[/tex]. It's the same thing. You can say it either way.
In the same way, a squared power, like [tex]2^{2}[/tex], is the same as representing it like a fraction, like [tex]2^{2/1}[/tex]. They both mean the same thing.
So by pointing these out, a fraction power = the power / the root.
If that makes sense.
So, with this in mind, let's look at what we have again.
[tex]3^{2/7}[/tex]
So we can split it up to say that 3 is raised to a 2nd power times a 1/7th power.
So we know what a 3 to the 2nd power is: [tex]3^{2}[/tex].
And since we have a fraction that's also included, we now know that is a root. So we can represent that like this: [tex]\sqrt[7]{3}[/tex].
But those two answers need to be combined. We can do that like this: [tex]\sqrt[7]{3^{2}}[/tex]
Answer: [tex]\sqrt[7]{3^{2}}[/tex]
So there it is! I hope that helped you!!
Solve for x
4x = 51
1. x = 204
2. x = 47
3. x = 12.75
Answer:
#. x=12.75
Step-by-step explanation:
51/4
which sequence shows the number in order from least to greatest?
please help
Is a cellular phone 120 kilograms or 120 grams?
Answer:
120 grams because 120 kilograms is a lot
:)
Given that 1 inch=2.54 cm how many centimeters are there in 6 feet
Answer:
182.88
Step-by-step explanation:
I hope this helped
NEEEEEEED HEEEEEEEELP !!!!!!!!!!!!!!!!! 13 POINTSSSSSS
the answer will be thirty three cm.
15 POINTS PLEASE HELP!!!
Answer:
the 2nd one i think please be right
Find the length of the third side. If necessary, round to the nearest tenth 24 30
Answer: 18
Step-by-step explanation:
What is the domain of the above function?
Katie is 44 years younger than Sylvia. Let kk represent Katie's age, and let ss represent Sylvia's age. Part A Using the variables defined above, write an equation that shows the relationship between Katie's age and Sylvia's age. Part B Use the equation from Part A to find how old Sylvia is when Katie is 13 years old. years old.
Factorise fully the following:
x^2+ x
Answer:
x(x+1)
Step-by-step explanation:
Which of the following is the closest to the length of side AC?
Answer:
d
Step-by-step explanation:
Can somebody help me with this question.
Find the value of the variable. If the answer is not an integer, leave it in simplest radical form.
Answer:
0ption C is your answer
Step-by-step explanation:
by using Pythagoras law
x²=8²+15²
x²=289
x=√289=17
The graph of the function g(x) is a transformation of the parent function f(x)=x2. Which equation describes the function g?
1. g(x)=(x−4)2
2.g(x)=x2+4
3.g(x)=x2−4
4.g(x)=(x+4)2
Answer:
g(x) = x^2 - 4 (Answer #3)
Step-by-step explanation:
The graph of the parent function f(x) = x^2 is a parabola with vertex at (0, 0). That of g(x) is the same, except that the first graph has been translated down by 4 units.
When this happens, the original function f(x) = x^2 + 0 changes to
g(x) = x^2 - 4 (Answer #3)
B
5
E
If G is the midpoint of AB, classify each triangle by its
ANGLES and SIDES.
A. ACFE
B. ABEC
C. ABFG
D. AGAF
Answer:
ΔCFE is a right triangle
ΔBEC is an acute triangle
ΔBFG is an equilateral triangle
ΔGAF is an obtuse isosceles triangle
the sum of two numbers is 38 and their difference is 10 find the numbers
Answer:
I believe the two numbers are 14 and 24
Answer:
Those numbers are 14 and 24.
Step-by-step explanation:
You can solve this pretty quickly by taking those two facts and combining them:
a + b = 38
a - b = 10
Let's solve the second one for a:
a = 10 + b
Now we can substitute that into the first one:
a + b = 38
(10 + b) + b = 38
2b + 10 = 38
2b = 28
b = 14
To find a, we can plug that back into one of the original equations:
a + b = 38
a + 14 = 38
a = 24
We can also test our answer by plugging the results into the other given equation and see if we get the same value:
a - b = 10
24 - 14 = 10
10 = 10
So we know our answer is correct.
2. Find the area of the regular polygon.
*HINT* - You must solve for the side of the octagon before you can find the area of the figure.
a. What is the Perimeter of the figure?
b. What is the area of the figure?
Answer:
a. 80 units
b. 482.843 units²
Step-by-step explanation:
First things first, we need to solve for the side of the octagon. We can do so by using Pythagorean Theorem: a² + b² = c² where c is the hypotenuse and a and b are the other two sides.
12² + b² = 13²
144 + b² = 169
b² = 25
b = 5
Now that we know half of the side of the octagon is 5, we know that one side of the octagon is 10.
a. To find perimeter we just add every side together (or since every side is the same size, we multiply by 8)
10 × 8 = 80
b. The formula for finding the area of an octagon is 2(1 + radical 2)a² where a is the length of a side. By plugging in to a calculator we get:
2(1 + radical 2)(10)² = 482.843
what is the value of x?
Answer:
36
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
72° and 3x are adjacent angles and are supplementary , that is
72° + 3x = 180° ( subtract 72° from both sides )
3x = 108° ( divide both sides by 3 )
x = 36° → C
The circumference of a circle is 6.4mm.
Find the length of the diameter.
Give your answer rounded to 3 SF.
Answer: 2.04
Step-by-step explanation:
Question 7 which graph represents a function
Answer:
Where are the graphs?
Step-by-step explanation:
Anyway use this method.
Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.
Look at the picture and answer, Please show work as well
Answer:
1. Boys =61
2.=53
3.122
4.128
Can
Someone
Please
Help
With this one
Problem
(I’ll give 25 points)
Can someone please help!!!!!!!
The square table has side lengths of 4 feet. What is the length of the diagonal?