Adam needs to build a shed and he can only use triangular frames that form a right
triangle for the corner walls. Which of the following dimensions for a triangular
frame should Adam use?
A 50 in., 110 in., 130 in.
B 25 in., 60 in., 65 in.
C 40 in., 44 in., 58 in.
D 130 in., 50 in, 60 in.
Answers
Answer:
Option B: 25 inches, 60 inches and 65 inches is the correct answer.
Step-by-step explanation:
We will use Pythagorean theorem to find out the dimensions that Adam should use.
A. 50 in, 110 in and 130 in
Using Pythagorean theorem;
[tex]a^2+b^2=c^2 \\(50)^2 + (110)^2 = (130)^2\\2500 + 12100 = 16900\\14600\neq 16900[/tex]
These dimensions will not form a right triangle.
B. 25 in, 60 in, and 65 in
[tex](25)^2 + (60)^2=(65)^2\\625+3600= 4225\\4225=4225[/tex]
These dimensions of the frame will form a right triangle.
C. 40 in., 44 in., 58 in.
[tex](40)^2+(44)^2=(58)^2\\1600+1936=3364\\3536\neq 3364[/tex]
These dimensions will not form a right angled triangle.
D. 130 in., 50 in, 60 in
The larger dimension represents the hypotenuse in right angled triangle.
[tex](50)^2+(60)^2=(130)^2\\2500+3600=16900\\6100\neq 16900[/tex]
These dimensions will not form a right angled triangle.
Hence,
Option B: 25 inches, 60 inches and 65 inches is the correct answer.
Related Questions
Divide the following complex numbers:
(3+ i) / (2-3i)
O A. - 3 - 1
O B. 1 3 - 1
}
C
9 11
+
13 13
D.
3 11
5
Answers
Answer:
Standard complex form 3/13 + 11/13i
Step-by-step explanation:
not sure if this helps
BRAINLIEST
please help and leave a small explanation :)
Answers
Answer:
180-118= 62
Answer is angle E= 62
Step-by-step explanation:
Vertical opposite angle of 118 is 118
So, we found out the interior angle. And sum of interior angles is 180. So you subtract 118 from 180 to get angle E.
Hope this helps!!!
Answer:
E is 62
Step-by-step explanation:
First find any angle relationships with the angle 118.
You can see that 118 can go next to E (corresponding angles).
That is a straight line, so in total it will 180 degrees.
180-118 would be E.
180-118 is 62.
hope this helps! :)
Please help me need it in 5 mins
Answers
Answer/Step-by-step explanation:
The question didn't specify which of the numbered angle we're to look for. However, let's find all the numbered angles.
✔️m<2 = 180° - 53° (linear pair angles)
m<2 = 127°
✔️m<7 = 180° - 53° (consecutive exterior angles are supplematry)
m<7 = 127°
✔️m<8 = 53° (alternate exterior angles are congruent)
HELP!!! find the value of x
Answers
Answer:
don't know
.....................
Answer:
x = 12
Step-by-step explanation:
Consider three orthogonal triangles (see picture)
1. The smallest triangle
2. The medium triangle
3. The big triangle that holds both triangles.
All are orthogonal (or right triangles) so you can use Pythagoras Theorem:
"The area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides"
Use Pythagoras theorem on triangle 1.
[tex]a^{2} = 3^{2} + 6^{2} = 45[/tex]
Now user Pythagoras on triangle 2.
[tex]b^{2} = x^{2} + 6^{2} = x^{2} + 36[/tex]
Now use Pythagoras on triangle 3 (the big triangle).
[tex](3 + x )^{2} = a^{2} + b^{2}\\x^{2} + 6x + 9 = a^{2} + b^{2}[/tex]
Now replace the values for [tex]a^{2}[/tex] and [tex]b^{2}[/tex] from the two equations derived from triangle 1 and 2:
[tex]x^{2} + 6x + 9 = 45 + x^{2} + 36[/tex]
The two [tex]x^{2}[/tex] get cancelled out, so:
[tex]6x + 9 = 45 + 36\\x = 12[/tex]
TA DA!
Can someone write it on paper so I can copy
Answers
Answer:
453/ 2 = 226.5 rounds to 227
672/ 5 = 134.4 rounds to 134
1,294/ 4 = 323.5 rounds to 326
Step-by-step explanation:
Probability! Always struggled with these Plz Help
Answers
Answer:
B) The probability that the arrow will point to blue is more than 1/4
Step-by-step explanation:
The blue area makes up 1/3 of the pie chart, and 1/3 > 1/4
Does anyone knows the answer it’s worth 40 points!!!
Answers
Answer: (6,8)
Step-by-step explanation:
Answer:
(6,8)
Step-by-step explanation:
Write this number in standard form.
Two million four hundred sixty-nine thousand five hundred fifty two
Answers
Answer:
2,469,552
Step-by-step explanation:
If 2x +4=b, then 6x + 12=
Answers
Answer:
3b
Step-by-step explanation:
(2x+4)*3=b*3
6x+12=3b
That is what i learned from school, hopes this helps
(2,3)
(3,2)
(3,4)
(3,-2)
Answers
Answer:
(3,2)
Step-by-step explanation:
Right now point A is at the coordinates (3,2)
When you reflect the shape at line x = 3, point A is at the same x-axis, in which your supposed to reflect it on.
So when you reflect the shape, point A wont move, it will stay in the same colinear and coplanar plane which is (3,2)
Compare 0.55 ____ 0.525 using , or =
Answers
Answer:
0.55 > 0.525
Step-by-step explanation:
Answer:
Step-by-step explanation:
0.55=0.550
0.550>0.525
so 0.55>0.525
Line A is parallel to line B, if the measure of<2 is 78 degree, what is the measure of < 5 degree?
Answers
Answer:
h
Step-by-step explanation:
h
Can I get some help plz
Answers
find the total surface area of this cone leaving you answer in terms of pi radius 5 cm
Answers
Answer:
70pi cm^2
Step-by-step explanation:
The total surface area of a cone is given by its curved surface area plus its base.
The base area would be
[tex]\pi {r}^{2} [/tex]
so the base area is 25pi cm^2.
The curved surface area is given by
[tex]\pi rl[/tex]
which is pi times 5 times 9 i.e. 45pi cm^2.
The total surface area would therefore be 70pi cm^2, by adding them up together.
Keyshawn has a gift card with a $150 balance. He buys several video games that cost $35 each. After the purchases, his gift card balance is $45. Write an equation to help find out how many video games Keyshawn bought.
Answers
Answer:
what specifically are you asking how you would justify? Are you asking how to justify the original equation? If so, how much you spend + your new balance = original balance. Consider if you spent x dollars, your new balance is 10 dollars and your original balance was 15 dollars. Then x + 10 = 15 which means you spent x= 15 - 10 = 5 dollars. With this problem he spent 35 dollars per game so the total he spent is 35x. Since his new balance is 45 and his original balance was 150, then 35x + 45 = 150
Step-by-step explanation:
Find function f(x) such that f(2x+1)=4x2 + 14x +7.
Answers
Answer: f=7 x=5
Step-by-step explanation:
I’m not sure because I solved on paper
I bought a pizza Alexis ate 3/4 of the pizza how much pizza do I have left???
Answers
Answer:
8/7 left, Hope i helped :)
Step-by-step explanation:
Answer:
yyyyyyyyyyyyyyyyyyyyyyyyyyyuujuuju
Step-by-step explanation:
HI dude was good
y = 5x - 10
Can you solve for x
Answers
Answer:
[tex]x = \frac{1}{5}y + 2[/tex] or [tex]x = \frac{y+10}{5}[/tex] (Not sure which one is preferred in your case)
Step-by-step explanation:
Key skills needed: Evaluating expressions
1) We are given: [tex]y = 5x-10[/tex]
2) To solve for the x variable, we want to leave the term with "x" by itself.
This means we add 10 to both sides
--> [tex]y + 10 = 5x[/tex] (Since -10 and +10 cancel out to make 0 or nothing)
3) Then we divide by 5 on both sides to get "x" completely by itself.
-----> [tex]\frac{y+10}{5} = x[/tex]
4) You can keep it as is so --> [tex]x = \frac{y + 10}{5}[/tex]
or you can divide "y" by 5 and "10" by 5 and get --> [tex]x = \frac{1}{5} y + 2[/tex]
(I am not sure which form is preferred one is preferred as the teacher matters)
Hope you understood and have a nice day!!
Tap for more steps...
Slope:
5
5
y-intercept:
−
10
-
10
Any line can be graphed using two points. Select two
x
x
values, and plug them into the equation to find the corresponding
y
y
values.
9(x-4) -7x=32-2(x+8)
Answers
Answer:
x=13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
using distributive property:
9x-36-7x=32-2x-16
2x-36=16-2x
4x=52
x= 13
plz brainliesttt
HELP FAST PLEASE
this is math plsss help
Answers
Step-by-step explanation:
Solving for the surface area of the cube:
2² (5 faces) = 20 ft²
Solvig for the surface area of the pyramid:
0.5 (2ft) (3ft) (4 faces) = 12 ft²
Total surface area = 20 + 12 = 32 ft²
The value of a professional basketball player's autographed basketball rose 20% in the last year. It is now worth $264. What was it worth a year ago? and here is 100 points thx
Answers
Answer:
$211.20
Step-by-step explanation:
20% of $264 is 52.8
264 - 52.8 = $211.20
Answer:
220
Step-by-step explanation:
The second angle of a triangle is three times as large as the first angle. The third angle is 40° greater than the first angle. How large are the angles?
Answers
Please help me with my homework!!!!
Answers
Answer: -19 i think
Step-by-step explanation:
Enter a numerical expression for the word expression.
11 decreased by 8
Answers
Which point is located at the origin?
2
B
14
10
1
A
B
C
D
Answers
Answer:
Point A is located at the origin because to origin is (0,0)
Step-by-step explanation:
Answer
A because the origin is at 0,0 and point A is at 0,0
Step-by-step explanation:
A is answer is 0,0.On the flat coordinate plane, there are two axes, the vertical y-axis and the horizontal x-axis. The origin is the point where they intersect.
-Hope this helped
Rana and Josie are cooking food for a party they need to cut up the food so people can share your she makes two small pepperoni pizzas there are four people who was share the pizza how much will each person get
Answers
Answer:
sdfshefvhwedsbdhcfbHISE
Step-by-step explanation:
FSDSd
Find the midpoint of the segment with the following end points (10,5) and (6,9)
Answers
Answer:
The mid-point between the endpoints (10,5) and (6,9) is:
[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]Step-by-step explanation:
Let (x, y) be the mid-point
Given the points
(10,5)(6,9)Using the formula to find the mid-point between the endpoints (10,5) and (6,9)
[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
Here:
[tex]\left(x_1,\:y_1\right)=\left(10,\:5\right),\:\left(x_2,\:y_2\right)=\left(6,\:9\right)[/tex]
Thus,
[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x,\:y\right)=\left(\frac{6+10}{2},\:\frac{9+5}{2}\right)[/tex]
[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]
Therefore, the mid-point between the endpoints (10,5) and (6,9) is:
[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]i need help quick !!
A song lasts 9 minutes. The circle graph below shows the percentage of the time the song plays at different tempos.
Answers
Answer:
2 minutes 42 minutes
Step-by-step explanation:
Which of the following graphs represents a function?
Answers
9514 1404 393
Answer:
(a) see below
Step-by-step explanation:
The graph that has no two points one above the other is the graph of a function. That is the first of your attachments.
The shape of this particular section of the rollercoaster is a half of a circle. Center the circle at the origin and assume the highest point on this leg of a roller coaster is 30 feet above the ground.
1. Write the equation that models the height of the roller coaster.
a. Start by writing the equation of the circle. (Remember that the general form of a circle with the center at the origin is x^2 + y^2 = r^2
b. Now solve this equation for y. (Remember the roller coaster is above ground, so you are only interested in the positive root.
2. Graph the model of the roller coaster using the graphing calculator. Either sketch by hand or take a picture and paste the image below.
Answers
Answer:
Step-by-step explanation:
Part A
x^2 + y^2 = 30^2
I don't know if this is right or not. That would mean that the roller coaster has no clearance and at the lowest point, it would scrape the ground (although not enough to dig a hole).
Part B
y^2 = 900 - x^2
y = sqrt(900 - x^2)
Part C
The graph is actually y = - sqrt(900 - x^2)
That's the only model I can come up with
The wording of the question does not allow for the condition that you want. (0,0) is not the center of the graph the way they want it. See the second graph).
Perhaps it means graph15b. I can't really tell.