The length up the wall does the ladder reach is 2.59 meter
What is Pythagorean theorem?In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.
What is Right triangle?A right triangle or right-angled triangle, or more formally an orthogonal triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.
Given,
Length of the ladder = 2.9 meter
Distance from base to wall = 1.3 meter
Draw the figure using the given data
Apply Pythagorean theorem
[tex]AB^{2}+BC^{2}= AC^{2}\\ AB^{2}=AC^{2}-AC^{2} \\ AB^{2}=2.9^{2}-1.3^{2}\\ AB^{2}=6.72\\ AB=\sqrt{6.72}[/tex]
AB=2.59 meter
Hence, the length up the wall does the ladder reach is 2.59 meter
Learn more about Pythagorean theorem and Right triangle here
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What is the volume of this beach ball if it’s width is 24 inches? (Use 3.14 for pie)
Answer:
It should be the last one: 57,905.84 inches
Step-by-step explanation:
Expand the following expression:
(2x-1)(x+4)
Answer:
2x² +7x - 4
Step-by-step explanation:
(2x-1)(x+4)
2x² + 8x - x - 4
simplify:
2x² +7x - 4
Which of the following pairs correctly matches the inventor with the invention?
Wilbur and Orville Wright: telephone
Rudolf Diesel: oil-burning internal-combustion engine
Thomas Edison: motorized airplane
Alexander Graham Bell: phonograph
graph the line with slope -2/5 and y-intercept -3
Answer:
emmm we cant graph
Step-by-step explanation:
there isnt one. just go from the y intercept and go 2 up and 5 left.
8-6: MathXL for School: Practice & Problem Solving
Due 03
Challenge The radius of Circle A is 8 ft. The radius of Circle B is 2 ft greater than the radius of
Circle A. The radius of Circle C is 4 ft greater than the radius of Circle B. The radius of Circle D is
1 ft less than the radius of Circle C. What is the area of each circle? How many times greater than
the area of Circle A is the area of Circle D?
The area of Circle A is ft2.
(Simplify your answer. Type an exact answer in terms of .)
Enter your answer in the answer box and then click Check Answer.
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Answer:
The Area of a circle is
[tex]\pi {r}^{2} [/tex]
Therefore the Area of Circle A is
[tex]\pi {8}^{2} \\ 201.06[/tex]
Area of Circle B is
[tex]\pi {10}^{2} \\ 314.16[/tex]
Circle C
[tex]\pi {14}^{2} \\ 615.75[/tex]
Circle D
[tex]\pi {13}^{2} \\ 530.93[/tex]
Mel took out a loan of $40,000 at 14 percent on March 16, 2015 which will be due on January 9, 2016. Using exact interest the amount of Mel's interest cost is:
Answer:
the interest cost is $4,679.45
Step-by-step explanation:
The computation of the interest cost is shown below:
= Loan amount × rate of interest × given no of days ÷ total no of days in a year
= $40,000 × 14% × 305 days ÷ 365 days
= $4,679.45
hence, the interest cost is $4,679.45
HELLLLPPPP PLZ.WILL GIVE BRAINLIEST
Please helpppppp asap aaaaaaaaaaaaa helppp
Answer:
the table part is easy, just copy the number on the left and put the letter written on top ( for a it should be 2a, 4a, 6a and so on)
ii - 3
iii - 1/6
iv - 1/3
Evaluate -3x+4y when x=-7 y=-10
Answer:
-19
Step-by-step explanation:
A colony of 500 bacteria doubles in size every 200 hours. What will the population be 400 hours from now?
Answer:
1000
Step-by-step explanation
200+200=400
so
500+500=1000
NEED HELP FRE BRAINLIST
Answer:
D. 9.8 Valentines Day!
............
When solving a system of linear equations what are you looking for?
which what is the correct expanded form and value of 4^3
A. 4+4+4+4=12
B. 4●4●4=64
C. 3+3+3+3=12
D. 3●3●3●3=81
HURRY IM TIMED!!!!!
20 POINTS!!!
Let f(x) = −3(2)^x and g(x) = x − 14.
Complete the table to determine the solutions of f(x) = −3(2)^x = g(x) = x − 14.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The table values are shown in the attachment. The function values are equal when x=2.
The solution to f(x) = g(x) is x = 2.
Solve |x + 7| < 6
A)
–13 < x < –1
B)
–1 < x < –13
C)
–13 < x and x > –1
D)
–13 < x or x < –1
Answer:
A) - 13 < x < - 1
Step-by-step explanation:
1) Rewrite the inequality without the absolute value.
[tex] - 6 < x + 7 < 6[/tex]
2) Subtract 7 from the whole equation.
[tex] - 6 - 7 < x < 6 - 7[/tex]
3) Simplify.
[tex] - 13 < x < - 1[/tex]
Therefor, the answer is the first option.
Answer:
A) –13 < x < –1
Step-by-step explanation:
|x + 7| < 6
Separate into possible cases
[tex]x + 7 < 6 \\x +7 \geq 0[/tex]
Solve the inequalities
[tex]x < - 1, x \geq -7\\x > -13, x < -7[/tex]
Find the intersections
[tex]x = (-7, -1)\\x = (-13, -7)[/tex]
Find the union
Answer: A) –13 < x < –1
Which expression is equivalent to StartRoot 200 EndRoot?
A) 2 StartRoot 10 EndRoot
B) 10 StartRoot 2 EndRoot
C) 10 StartRoot 20 EndRoot
D) 100 StartRoot 2 EndRoot
Answer:
Answer
is B
10√2
Step-by-step explanation:
is: √200
Simplifying the given expression, we get:
200 = 2 x 2 x 2 x 5 x 5
⇒ 200 = (2)² x (5) ² x 2
Answer:
b
Step-by-step explanation:
Find the equation for the line that passes through (-9,-5) that has slope - 4/7 give your answer in point-slope form. you do not need to simplify
(________)
Answer:7y=-4x+1
Step-by-step explanation:
y=mx+c
-5=-4/7(-9)+c
c=1/7
y=-4/7x+1/7
7y=-4x + 1
Please show your work!
3(5x - 6) = 6(2x - 12)
Answer:
x = -18
Step-by-step explanation:
Distribute: 3*5x = 15x ; 3*-6 = -18 ; 6*2x = 12x ; 6*-12 = -72
15x - 18 = 12x - 72
Add 18 to both sides: 15x = 12x - 54
Subtract 12x from both sides: 3x = -54
Divide both sides by 3: x = -18
Answer:
x= 17.666666...
Step-by-step explanation:
3(5x - 6) = 6(2x - 12)
(3 times 5x , 3 times -6) (6 times 2x, 6 times - 12)
15x-18 = 12x -72 (multiply insides)
-12x -12x (remove 12x from right side)
3x-19 = -72 (product)
+19 = +19 (add 19 left side to remove it)
3x = 53 (product)
x = [tex]\frac{53}{3}[/tex] (divide)
x= 17.666666... (answer)
x = 17.67 (if simplify)
What should be multiplied on both sides to solve the following equation: (3)/(4)x=(9)/(2)
Answer:
3/4x = 9....multiply both sides by 4 <==
3x = 9 * 4
3x = 36
x = 36/3
x = 12
Step-by-step explanation:
Write an explicit formula for An, the nth term of the sequence 6, 18, 54, ....
Answer:
[tex] a_{n} = (6){3}^{n - 1} [/tex]
Step-by-step explanation:
6, 18, 54
First, recognize that this is a geometric sequence. To find the common ratio, divide the f
second term by the first term.
18/6 = 3
Check this with the second and third term.
54/18 = 3
Your common ratio is 3.
An explicit formula for a geometric equation is:
[tex] a_{n} = a_{1} {r}^{n - 1} [/tex]
We know the first term is 6 and the common ratio is 3. Plug in these values.
[tex] a_{n} = (6) {3}^{n - 1} [/tex]
This is your formula.
Hope this helps!
Answer:
54( 1/3)n-1
Step-by-step explanation:
simone buys a painting for 24000 later she sells it for 60000 how much is her percentage profit
Answer:
percentage profit = 150%
Step-by-step explanation:
percentage profit = sp - cp/cp * 100
sp is the selling price = 60000
cp is the cost price = 24000
percentage profit = 60000-24000/24000 * 100
percentage profit = 36000/24000 * 100
percentage profit = 36000/240
percentage profit = 150%
Kim spent 1/5 of her money at the mall. What percent of Kim’s money was spent at the mall?
Answer:
20%
Step-by-step explanation:
1/5 × 100 = 20%
Note: to change ANY fractions to percentage form, multiply with 100
Solve for x. ILL GIVE BRAINLIEST
Answer:
64
Step-by-step explanation:
the red height is 48 by pythagorean, and by 3:4:5 similarity x=64.
Answer the following for the given figure.
Show that (5x-7)2 +140x=(5x+7)2
please help me with this
Classify the coordinates given below into different quadrants according to their location.
(-3,7)
(-2,-2)
(3,-7)
(1,8)
(-6,-11)
(-6,4)
Quadrant ll
Quadrant l
Quadrant lll
Quadrant lV
Is KLMN below a rectangle?
Imagine pls helpppppppp!!!!!!
Answer: 472392
Step-by-step explanation:
the pattern is three times the last number e.g.
8x3=24
24x3=72
72x3=216
Then to find the 11th term you continue this pattern.
5=648
6=1944
7=5832
8=17496
9=52488
10=157464
11=472392
Find the factors of following :
3x + y^3 z
Answer:
3x + y^3 z
3×x+y×y×y×z
there is common 1
1(3×x+y×y×y×z)
factor =1,&(3x+y³z)