A 50 foot ladder is set against the side of a house so that it reaches up 48 feet. If Jack
grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the
side of the house will the ladder reach now? (The answer is not 44 ft.) Round to the
nearest tenth of a foot.
Answers
1.4 feet
let me know if you get it right hope i helped!
Answer:
14
Step-by-step explanation:
a2+(48)2=
502\,\,50^{2}502
Use the Pythagorean Theorem.
a2+2304=a^{2}+2304=a2+2304=
2500\,\,25002500
Simplify.
−2304-2304\phantom{=}−2304=
−2304\,\,-2304−2304
Subtract 2304 from both sides.
a2=a^{2}=a2=
196\,\,196196
a2=\sqrt{a^{2}}=a2
=
±196\,\,\pm\sqrt{196}±196
Square root both sides.
a=a=a=
14\,\,1414
Simplify. Ignore negative root, as length must be positive.
Related Questions
The volume of a cylinder is 156 pi centimeters cubed. What is the volume of a cone with the same base and height as the cylinder?
Answers
Answer:
52 pi centimeters cubed
Step-by-step explanation:
volume of a cylinder = πr^2h
Volume of a cone 1/3(πr^2h)
π = 22/7
r = radius
The volume of a cone is one-third that of a cylinder
volume of cone = 156/3 = 52
[tex]\sqrt{(-3-4)^{2}+(-7-3)^{2) }[/tex]
Answers
Answer:
Step-by-step explanation:
[tex]\sqrt{(-3-4)^2+(-7-3)^2[/tex]
[tex]\sqrt{(-7)^2+(-10)^2[/tex]
[tex]\sqrt{49+100[/tex]
[tex]\sqrt{149[/tex]
A quantity with an initial value of 670 decays continuously at a rate of 25% per hour.
What is the value of the quantity after 7 hours, to the nearest hundredth?
Answers
Answer:
89.43
Step-by-step explanation:
a = 670 * (1 * .25)^7
a = 670 * (.75)^7
a = 89.43
CAN SOMEONE HELP ME PLEASE
Answers
Find AB using the segment addition postulate.
Answers
Explanation:
2x + 6 + 5x - 3 = 24
7x + 3 = 24
x = 3
AB = 2x + 6 = 2(3) + 6 = 12
129x-33=112
solve for x
Answers
Answer:
x =145/129
Step-by-step explanation:
129x-33=112
Add 33 to each side
129x-33+33=112+33
129x = 145
Divide each side by 129
129x/129 = 145/129
x =145/129
Write the equation of a line that has a slope of 1/2 and passes through (6, -4). Write your answer in slope-intercept form. PLEASE HELP
Answers
Answer:
y = 1/2x - 7
Step-by-step explanation:
y = 1/2x + b
-4 = 1/2(6) + b
-4 = 3 + b
-7 = b
Question 10 of 10 Classify the following triangle. Check all that apply. 7 A. Right B. Acute C. Isosceles D. Scalene E. Equilateral F. Obtuse
Answers
D & F
Step-by-step explanation:
D scale because all sides are different lengths
F obtuse because one angle is greater than 90 degrees
Look up definition of the other properties and you will see they don't apply
The given triangle is a obtuse and scalene triangle
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The given triangle is an obtuse triangle and scalene triangle.
A triangle whose any one of the angles is an obtuse angle or more than 90° is known as obtuse triangle.
A triangle in which all the three sides have different lengths then it is called as scalene triangle.
Hence, the given triangle is a obtuse and scalene triangle.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ5
Look at triangle STU:
A right triangle STU is shown with the right angle at T. The length of side ST is labeled as 42 cm, and the length of side TU is labeled as 56 cm.
What is the length (in centimeters) of side SU of the triangle?
70 centimeters
77 centimeters
90 centimeters
98 centimeters
Answers
Answer:
70 cm
Step-by-step explanation:
42^2 + 56^2 = c^2
1764 + 3136 = c^2
4900 = c^2
70 = c
what+js+the+sum+of+3(4v-1)+and+6(10+3v) when v = 8
Answers
Answer:
297
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
3(4v - 1) + 6(10 + 3v)
v = 8
Step 2: Evaluate
Substitute in v: 3(4(8) - 1) + 6(10 + 3(8))(Parenthesis) Multiply: 3(32 - 1) + 6(10 + 24)(Parenthesis) Subtract: 3(31) + 6(10 + 24)(Parenthesis) Add: 3(31) + 6(34)Multiply: 93 + 204Add: 297i keep getting the wrong answer and have no idea what to do
Answers
Answer:
[C] 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsFunctionsFunction NotationCalculus
Limits
Derivatives
Definition of a Derivative: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle\displaystyle g(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}[/tex]
[tex]\displaystyle f(x) = \frac{3}{5x^4 + 3}[/tex]
[tex]\displaystyle g(0)[/tex]
Step 2: Differentiate
Substitute in x [Function g(x)]: [tex]\displaystyle\displaystyle g(0) = \lim_{h \to 0} \frac{f(0 + h) - f(0)}{h}[/tex]Substitute in function f(x) [Function g(x)]: [tex]\displaystyle\displaystyle g(0) = \lim_{h \to 0} \frac{\frac{3}{5(0 + h)^4 + 3} - \frac{3}{5(0)^4 + 3}}{h}[/tex]Simplify: [tex]\displaystyle\displaystyle g(0) = \lim_{h \to 0} \frac{\frac{3}{5h^4 + 3} - 1}{h}[/tex]Rewrite: [tex]\displaystyle\displaystyle g(0) = \lim_{h \to 0} \frac{3}{h(5h^4 + 3)} - \frac{1}{h}[/tex]Rewrite: [tex]\displaystyle\displaystyle g(0) = \lim_{h \to 0} \frac{3}{h(5h^4 + 3)} - \frac{5h^4 + 3}{h(5h^4 + 3)}[/tex][Subtraction] Combine like terms: [tex]\displaystyle\displaystyle g(0) = \lim_{h \to 0} \frac{3 - 5h^4 + 3}{h(5h^4 + 3)}[/tex][Addition] Simplify: [tex]\displaystyle\displaystyle g(0) = \lim_{h \to 0} \frac{-5h^4 + 6}{h(5h^4 + 3)}[/tex][Distributive Property] Distribute h: [tex]\displaystyle\displaystyle g(0) = \lim_{h \to 0} \frac{-5h^4 + 6}{5h^5 + 3h}[/tex]Evaluate limit [Power Method]: [tex]\displaystyle\displaystyle g(0) = 0[/tex]Since the bottom polynomial has a higher degree than the top polynomial, the bottom polynomial will increase faster.
∴ If the bottom is approaching a bigger value, the fraction gets smaller and smaller, approaching 0.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
Which of the following equations is equivalent to 5(2p – 6) = 40?
10p – 6 = 40
7p – 11 = 40
10p – 30 = 40
7p – 1 = 40
Answers
This is because you have to distribute 5 to 2p and negative 6
So 5 times 2p is 10p and 5 times -6 is -30
When you put this all together you get 10p-30=40
Explanation: In this question, you are asked to distribute to find an equivalent equation. When you distribute, you multiply the term on the outside of this equation with the terms on the inside. In this case, you needed to multiply 5•2p and 5•-6. Then, you need to put them together to create the equation. These terms will be on the left side of the equation, while 40 will remain on the right side. Once multiplied, you should get 10p and -30. Your final equation will be 10p-30=40.
Hope this helps! Comment below for more questions.
6 = r + 2 Addition and Subtraction Equations 11.2
Answers
Answer:
I'm not sure what you are looking for but I'm assuming you are finding r.
r is equal to 4.
Step-by-step explanation:
6 = r + 2
In order to find r, you have to subtract 2 from 6.
So, r = 6 - 2 = 4
how would u get the solution to x/3 < -2
Answers
simplify and show your work
Answers
Answer
math way search it
Step-by-step explanation:
2) In a class of 31 students, some study Physics and some study Chemistry. If 22
study Physics, 20 study Chemistry and 5 study neither. Calculate how many take:
a) both Physics and Chemistry
b) just Physics
c) just Chemistry
Answers
Find the value of x ?
Answers
Answer: 6
Step-by-step explanation:
4+(x-3) = 2x-5
x+1 = 2x-5
x=6
Determine the equation of the circle graphed below
Answers
Answer:
[tex](x-1)^2+(y-6)^2=16[/tex]
Step-by-step explanation:
The equation of a circle is given by [tex](x-h)^2+(y-k)^2=r^2[/tex], where [tex](h,k)[/tex] is the center of the circle and [tex]r[/tex] is the radius of the circle.
From the diagram, we can find the following:
the radius of the circle is 4 the center of the circle is located at (1,6)Thus, we have:
[tex](x-1)^2+(y-6)^2=4^2,\\\boxed{(x-1)^2+(y-6)^2=16}[/tex]
Answer:
(x-1)^2 + (y-6)^2 = 16
Step-by-step explanation:
center = (1,6)
radius = 4
equation of a circle (x-h)^2+(y-k)^2=r^2
(x-1)^2 + (y-6)^2 = 16
Can someone help me with this? Will Mark brainliest.
Answers
You're answer is Major Arc.
Situation: Find the substance's half-life, in days. Round your answer to the nearest tenth. A 33 gram sample of a substance that's used for drug research has a k-value of 0.1081. Enter the correct answer. N = Noe DONE No = initial mass (at time t = 0) 000 OO N = mass at time t k= = a positive constant that depends on the substance itself and on the units used to measure time t = time, in days
Answers
Answer:
1051 or..
10.51
Step-by-step explanation:
Since 33=30 and 0.1081 is supposed to be as a percentage since its already a decimal you could just round it and make it into a fraction then once you get the answer to the fraction it would either be 1081 since 0.1081 as a fraction is 1081/10000 or you could make into 10.81 as a decimal but after that you subtract "30 - 1,081" or 10.81 -30" either one of them and each of those numbers would give you the same exact number. Answer: 1051 or as a decimal 10.51
Answer:
The correct answer 6.4 on PLATO edmentum
Step-by-step explanation:
I did the test
Q. Find missing angle
Answers
Answer:
c =√a2 + b2=√152 + 122=√369=19.20937
∠α =arcsin(a)c= arcsin(15)19.209372712299=arcsin(0.78086880944303) = 51.34° = 51
answer is C
Answer:
Tan x = opp/ adj
Tan x = 15 / 12
Tan x = 1.25
Angle = 51.34
C. 51 degrees
HOPE ITS HELPS..!!
Evaluate the expression 33.15/n n=1.5
Answers
Answer:
22.1
Step-by-step explanation:
33.15/n
33.15/1.5
= 22.1
PLEASE HELP!!!
What is the interquartile range of the data?
(73 points)!!
Answers
Answer:
2,5
Step-by-step explanation:
2.5+3.0+3.5+0.0= 9
9:4= 2.5
I need help with this problem. please help. thanks
Answers
Answer:
D
Step-by-step explanation:
Answer:
Option B. ( For Question 32...)
Step-by-step explanation:
Complete the function for this graph.
Answers
Answer:
1 and 4
Step-by-step explanation:
The vertex of the graph is (1,4) which is translated up 4 units
The vertex form of the equation of a parabola is y=(x-5)+16. what is the standard form of the equation
Answers
Answer:
x − y = − 11
Step-by-step explanation:
14. A cellular telephone company recently conducted research into the length of calls (in
minutes) made by customers. In a random sample of 30 calls, the sample mean was
x= 18.6 minutes and the standard deviation was s=5.2 minutes. Construct and interpret
a 90% confidence interval for true mean call length. (4-step process)
Answers
Answer:
The correct answer is "16.987, 20213".
Step-by-step explanation:
Given that,
[tex]n=30[/tex]
[tex]\bar x=18.6[/tex]
[tex]s = 5.2[/tex]
[tex]df=30-1[/tex]
[tex]=29[/tex]
[tex]\alpha = 0.10[/tex]
By using the table, the critical values of t will be:
= [tex]\pm 1.699[/tex]
Now,
The confidence interval will be:
= [tex]\bar x \pm \frac{t\times s}{\sqrt{n} }[/tex]
By putting the values, we get
= [tex]18.6 \pm \frac{1.699\times 5.2}{\sqrt{30} }[/tex]
= [tex]16.987,20.213[/tex]
Which of the following values is a solution for the inequality statement?
Select all that apply.
-5 ≤ -4r + 3
A.7
B. 4
C. -5
D. 0
E. 3
Answers
(the solution is r is less than or equal to 2)
Answer:
-5 and 0
Step-by-step explanation:
the mid point of the sides of a triangle are (1,5,-1),(0,4,-2),(2,3,4) find the vertices
Answers
Answer:
Step-by-step explanation:
Im stuck on this hegarty maths question help me please
Answers
Answer:
540 g flour
4 tsp baking powder
8 tbsps sugar
520 mL milk
4 eggs
8 tbsps oil
Step-by-step explanation:
Multiply each ingredient by 4!
Because the initial recipie provides the amounts for 6, simply divide 24/6 and you'll find that you only need 4x the original recipie.
135g*4 = 540
1 tsp*4 = 4 etc!