PYTHAG THEOREM!
Aubrey is building a slide for her kids. If the ladder is 6 feet tall and she wants the bottom of the slide to be 5 feet from the ladder, how long does the slide need to be? If necessary, round to the nearest tenth.
Answers
Answer:
sqrt(11)
Step-by-step explanation:
a^2+b^2 = c^2
a = 5
c = 6
b = ?
25 - b^2 = 36
36 - 25 = b^2
b = sqrt(11)
The ladder should be 7.81 feet long.
What is Pythagoras theorem?Pythagoras theorem tell us the relation between the sides of a right-angled triangle, it states, the sum of the squares of the base and perpendicular is equal to the square of the hypotenuse.
Given that, Aubrey is building a slide for her kids. If the ladder is 6 feet tall, and she wants the bottom of the slide to be 5 feet from the ladder,
This slide is in the form of a right triangle, therefore applying the Pythagoras theorem, we have,
a²+b² = c² (refer to the figure attached)
5²+6² = c²
c² = 25+36
c² = 61
c = √61
c ≈ 7.81
Hence, the length of the slide should be 7.81 feet.
For more references on Pythagoras theorem, click;
https://brainly.com/question/343682
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Related Questions
Please help! this assignment locks at 12 and i will give brainlest!
Answers
Answer:
where is the assignment?
Donetta is investing $6000 in a stock fund that is offering a constant annual interest of 5%.
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The interest in investing $6000 in a stock fund that is offering a constant annual interest of 5% is $300
What is interest?
Interest is the amount of money made from investing a particular amount of money over a period of time. It is given by:
I = PRT
I is interest, P is principal, R is rate and T is period
Donetta is investing $6000 in a stock fund that is offering a constant annual interest of 5%. Hence in one year:
I = 6000 * 5% * 1 year = 6000 * 0.05 * 1 = $300
The interest in investing $6000 in a stock fund that is offering a constant annual interest of 5% is $300
Find out more on interest at: https://brainly.com/question/25545513
(2x) (x-1)(x-4)=40 pls simplify
Answers
Answer:
x = 5
Step-by-step explanation:
Write an equation that represents the line use exact numbers
Answers
Answer:
hello
f (2 ) = 6 et f ( 0 ) = 3
( 3 - 6 ) / ( 0 - 2 ) = - 3/- 2 = 3/2
ax = 3 x /2
f (0) = 3 ⇔ b = 3
f (x) = 3 x /2 + 3
also f ( 0) = 0 + 3 = 3
sorry
y = ax + b
b = 3
since the line cuts the y-axis in 3
then for a ? which is the slope..
we take 2 points on the line (0 ; 3) and (2 ; 6)
we move 2 units to the left to go up 3 units
so a = 3/2
=> y = 3/2x + 3
or
f(x) = 3/2x + 3
Guys, I’m giving you at least 100 points for you to answer to my angles, triangles, and quadrilaterals word problem homework package. So guys, please listen up and pay attention to me without ignoring my angles, triangles, and quadrilaterals word problem homework package for no reason! :D
Please help me to find the missing angle measures given 3 variables of an each scalene triangle.
Please answer to my geometric word problem questions as soon as possible with the best efforts and the best step-by-step explanations in order to get the Brainliest award of all the time! :D
Well anyways, guys, good luck on finding the missing angle measures given 3 variables of an each scalene triangle of my angles, triangles, and quadrilaterals word problem homework package in order to get the best Brainliest award of all of the time, and I will check the answers to see if it’s appropriate for me. :)
Answers
Answer:
Theories used
Angles on a straight line will always add up to 180°
The sum of interior angles in a triangle is 180°
Question 7
a + 134° = 180°
⇒ a = 180° - 134°
⇒ a = 46°
b + 119° = 180°
⇒ b = 180° - 119°
⇒ b = 61°
a + b + c = 180°
⇒ 46° + 61° + c = 180°
⇒ c = 180° - 46° - 61°
⇒ c = 73°
Question 8
r + 126° = 180°
⇒ r = 180° - 126°
⇒ r = 54°
s + 145° = 180°
⇒ s = 180° - 145°
⇒ s = 35°
r + s + t = 180°
⇒ 54° + 35° + t = 180°
⇒ t = 180° - 54° - 35°
⇒ t = 91°
#7
a=180-134=46°b=180-119=61°c=
180-(46+61)180-10773°#8
r=180-126=54°s=180-145=35°t=180-(54+35)=180-89=91°PLEASE HELP 100 POINTS!!!
Identify the vertex of the function graphed below. A. (1,1) B. (2,2) C. (3,1) D. (0,-2)
Answers
Answer:
See below.
Step-by-step explanation:
The vertex is the point where it stops the arch. In this case, the answer would be (2,2).
-hope it helps
Answer:
B: (2, 2)
Step-by-step explanation:
it's the point where the parabola changes directions
Please help me with this math problem!! Will give brainliest!! Please explain how you got your answer! :)
Answers
How much is 75% of 10 liter of milk?
Answers
Answer:
7.5 liters of milk
Step-by-step explanation:
Multiply 10 by 0.75
Hope that helps!
Factor b12 + 8.
help fast pls
Answers
Answer:
3b+2 or 4(3b+2)
Step-by-step explanation:
Mark as brainliest
a=1/2(2x6)x4 i need helppp !!
Answers
Answer:
A=24
Step-by-step explanation:
First, we do the equations in the brackets(2x6) which is 12.
Before that, there is a 1/2 which means dividing whatever is inside the brackets by 2 which then becomes 6.
Then we x4 so the answer is 24.
a = 24
Step-by-step explanation:
[tex]\rm \: a = \frac{1}{2} (2 \times 6) \times 4 \\ \\ \rm a= \frac{1}{2} (12) \times 4 \\ \\ \rm a= \frac{12}{2} \times 4 \\ \\ \rm \: a = 6 \times 4 \\ \rm \: a = 24[/tex]
Math need help asap ty po sa makaka sagot
Answers
please see analysis
Step-by-step explanation:[tex]\left\{\right.{ \triangle}\ RST\cong { \triangle}\ DE[/tex]F
[tex](SSS\ Congruence\ Postulate)[/tex]
[tex]2.\ { \triangle\ CAT\cong { \triangle\ BED\ \left\{\right.Given\left.\ \right\}[/tex]
[tex]\bar{AT}\cong\bar{ED}[/tex]
[tex]\overline{AT}=20[/tex]
[tex]so\ \overline{ED}=20[/tex]
[tex]DE=3x-7=20\rightarrow\ x=9[/tex]
I hope this helps you:)
Pllllssss answer!! i only have a few more minutess!! (i'll give brainilest) tyler wants to buy some cherries at the farmer's market. he has $ 10 and cherries cost $4 per pound. 1. if c is the number of pounds of cherries that tyler can buy, write one or more inequalities or equations describing c. 2. can 2 be a value of c? can 3 be a value of c? what about -1? explain your reasoning. 3. if m is the amount of money, in dollars. tyler can spend, write one or more inequalities or equations describing m. 4. can 8 be a value of m? can 2 be a value of m? what about 10.5? explain your reasoning. did you answer all 4 parts?
Answers
answer:
step by step explanation:
10-4 = c
6 = c
he can buy 2 pounds of cherries
2. 2 can be the value of c
c = 2
10- 4c
10- 4(2)
10 - 8 = 2
c = 3
10 - 4c
10- 4(3)
10 - 12 = -2
c = -1
10 - 4(-1)
10 - (-4)
10 + 4
= 14
manage this
mark me brainliest
What is the following quotient?
Answers
Answer:
B
Step-by-step explanation:
The second option is the answer
Hope this helps :)
17
What percent does 20
8%
850%
85%
Answers
Answer:
=0
Step-by-step explanation:becase I got it right on a test
A football is punted from a height of 2.5 feet above the ground with an initial vertical velocity of 45 feet per second.
Write an equation to model the height h, in feet, of the ball t seconds after it has been punted.
The football is caught at 5.5 feet above the ground. How long was the football in the air?
Answers
Answer:
1.451 seconds. Hurry.
Step-by-step explanation:
The position(height, h) of the foot ball will be given by the equation:
h = -32.2t^2 + 45t + 2.5
The term -32.2t^2 consists of the acceleration caused by gravity at Earth's surface ( -32 ft/sec^2) and the term +45t accounts for the initial velocity. The + is assigned since the ball is moving vertically from ground. The negative sign in -32t^2 is due to the acceleration being towards ground. The term 2.5 accounts for the fact that the initial height of the ball is 2.5 feet above ground.
We can either calculate or graph with this function to find the time the ball spends in the air:
Calculate:
h = -32.2t^2 + 45t + 2.5
We need a value of t that would cause h to be 5.5 feet, the level it was caught:
5.5 = -32.2t^2 + 45t + 2.5
-32.2t^2 + 45t + 2.5 = 5.5
-32.2t^2 + 45t -3.0 = 0
Solve for t using the quadratic formula. I get a value of 1.33 seconds.
Graph:
See the attached graph. It confirms the 1.33 second value
PLEASE PLEASE HELP !! The translation below is used on all three triangles.
(x, y) → (x, y + 1)
What happens to the triangles? Which answer would it be A, B, C, or D?
(I WILL MARK AS BRAINLIEST! PLEASE HELP!)
(A) They all move 1 unit to the right.
(B)They all move 1 unit to the left.
(C)They all move 1 unit down.
(D)They all move 1 unit up.
Answers
Answer:
D
Step-by-step explanation:
They all move 1 unit up.
The mapping notation essentially tells you, what you do to each point to get the image point.
In this case (x,y)→(x,y+1) is telling you, for any given coordinate on the original, you add 1 to its y coordinate. Adding 1 to a y coordinate moves it up one unit.
In parallelogram MNPQ, m∠M=6x+10°m∠M=6x+10° and m∠N=5x+10.5°m∠N=5x+10.5°. How many degrees is ∠M?
Answers
Answer: 97
Step-by-step explanation:
Saleem wants to create a table of ratios that are equivalent to 2
3
. He includes the ratios 4
5
and 5
6
.
Are these ratios equivalent to 2
3
? Explain your reasoning.
Answers
Answer:
yes 6 is the equivalent of 3
Answer: 6 is the equivalent of 3
Step-by-step explanation: if wrong comment n I will fix
Is 206 – 3x) + x equivalent to 2(3x) + x + 12?
Answers
Answer:
Step-by-step explanation:(206-3x)+x
2(3x)+x+12
ok as i think one no is statsfy this equation .
A small business had profits of $200, $300, $400, $500 and $500 over the 5 months. How much profit should the business make in the 6th month to have an average profit of $550 over the 6 months?
Answers
Answer:
$1400
Step-by-step explanation:
x= profit of 6th month
(200+300+400+500+500+x)
-------------------------------------- = 550
6
(1900+x)=3300
x=3300-1900
x=1400
Look at the PICTURE and please respond FAST to get MARKED best.
Answers
120= 2y+30
90=2y
45=y
Adjacent angles sum equals 180, because the flat line angle is 180.
2x+10 + 45 = 180
2x+55 = 180
2x= 125
X = 62.5
Answer:
y = 45, x = 25
Step-by-step explanation:
Since 120 and (2y + 30) are vertical angles, (2y + 30) will equal 120.
2y + 30 = 120, Subtract by 30 on both sides
2y = 90, Divide 90 by 2
y = 45
Since 120 and (2x + 10) equal a straight line, it's a supplementary angle. Supplementary angles are equal to 180. Then you do 180 - 120, which equals 60. That means (2x + 10) equals 60.
2x + 10 = 60, Subtract 10 by both sides
2x = 50, Divide 50 by 2
x = 25
algebric expression 2f + 14 3 + 7f - 10 5.
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2f + 14 3 + 7f - 10 5.
Simplify:
[tex] = (9f + 38)[/tex]
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#Carry on Learning
what is the period of f(x)
Answers
Step-by-step explanation:
The period of f(x) is π.
To calculate the period using the formula derived from the basic sine and cosine equations. The period for function y = A sin (B a – c) and y = A cos ( B a – c ) is equal to 2πB radians. The reciprocal of the period of a function is equal to its frequency.
x=3y+1
2x+4y=12
Solve each system by substitution
Answers
The required values are :
[tex]\qquad \sf \dashrightarrow \:x = 4[/tex]
and
[tex]\qquad \sf \dashrightarrow \:y = 1[/tex]
Check the attachment for solution ~
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In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x - 4|?
Answers
Answer:
right... C.
Step-by-step explanation:
please help me! I will make whoever answers brainiest! please help it's for a test!
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each equation to the value of a that makes the equation true.
1
0
3
4
2
6(2a − a + 1) = 24
4 + 3(a + 2) = 16
3a − 2a − 4 = 0
2a + 3(a + 1) = 8
Answers
Answer:
6(2a-a+1)=24 =(3)
4+3(a+2)=16 =(2)
3a-2a-4=0 =(4)
2a+3(a+1)=8 =(1)
Step-by-step explanation:
6(2a-a+1) =24
6(2a-a+1) =2412a-6a+6 =24
6(2a-a+1) =2412a-6a+6 =246a =24-6
6(2a-a+1) =2412a-6a+6 =246a =24-66a= 18
6a/6= 18/6
a = 3
4+3(a+2)=16
4+3a+6=16
3a+10=16
3a=16-10
3a=6
3a/3=6/3
a=2
3a-2a-4=0
a-4=0
a=0+4
a=4
2a+3(a+1)=8
2a+3a+3=8
5a+3=8
5a=8-3
5a=5
5a/5=5/5
a=1
Figure ABCDEF is a regular polygon. What is the measure of cdq?
Answers
Answer: 60
Step-by-step explanation: first do 6-2 and multiple that by 180 after that your going to divide that by 6 u end up with 120 after subtract 180-120 = 60 .
The circumference of the hub cap of a tire is 77.62 centimeters. Find the area of this hub cap. Use
3.14 for it.
PLEASE HELP ME
Answers
[tex]\textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=77.62 \end{cases}\implies 77.62=2\pi r\implies \cfrac{77.62}{2\pi }=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad A=\pi \left( \cfrac{77.62}{2\pi } \right)^2\implies A=\cfrac{77.62^2}{4\pi }\implies A\approx 479.69[/tex]
What is the value of x?
Answers
Step-by-step explanation:
By the secant tangent theorem,
21(21+25)=x^2
x^2 = 966
x = sqrt(996)
Please I give lots of points
Answers
Answer: y = 12.5x
Step-by-step explanation:
Because 250 bottles are filled every 20 minutes:
250/20=12.5
So, x=1, y=12.5
Hence, x=2 y=25
Because the number of bottles is directly proportional to the operation of the machine so:
12.5=a+b, 25.2a+b
a=12.5, b=0
Therefore, the equation is y = 12.5x
The Desmos graph of y = 12.5x is attached below