Answer:
The interval notation would be (-∞, 3.9 feet) ∪ (6.3 feet, ∞).
Step-by-step explanation:
Since the lower and upper bounds are given, those very bounds extend to infinity in this case since there is no limit to the height which would be considered abnormal in this question. Using the lower bounds and upper bounds to construct an interval notation, we get the answer as shown above.
Hope this helped!
A 45 foot ladder is set against the side of a house so that it reaches up 27 feet. If Nicole 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 23 ft.) Round to the nearest tenth of a foot.
The ladder will reach a height of 20.6 feet
The given parameters are:
Length = 45-footHeight = 27 feetStart by calculating how far (d) the ladder is, from the bottom of the house using the following Pythagoras theorem
[tex]45^2 = 27^2 +d^2[/tex]
Collect like terms
[tex]d^2= 45^2 -27^2[/tex]
[tex]d^2= 1296[/tex]
Take square roots of both sides
[tex]d= 36[/tex]
When the ladder is moved 4 feet farther, the new distance becomes
[tex]d= 36+4[/tex]
[tex]d= 40[/tex]
The new height (h) of the ladder is then calculated using the following Pythagoras theorem
[tex]45^2=40^2 + h^2[/tex]
Collect like terms
[tex]h^2 = 45^2-40^2[/tex]
[tex]h^2 = 425[/tex]
Take the square roots of both sides
[tex]h = 20.6[/tex]
Hence, the ladder will reach a height of 20.6 feet
Read more about Pythagoras theorem at:
https://brainly.com/question/654982
Please someone help quickly!!!
Answer:
f (-1) = 3
f (0) = -7
f (2) = -7
f (5) = -7
Step-by-step explanation:
f (-1) = 3
f (0) = -7
f (2) = -7
f (5) = -7
Use the unit circle to find sin 90 degrees a. 1 c. -1 b. 0 d. Undefined Please select the best answer from the choices provided A B C
Answer:
sin of 90 is 1
Step-by-step explanation:
sin is the y axis coordinate and the coordinates of 90° on unit circle is (0,1)
the choices are
[tex] \frac{4}{25} [/tex]
[tex] - \frac{2}{5} [/tex]
[tex] - \frac{4}{25} [/tex]
[tex] \frac{2}{5} [/tex]
Answer:
option b) -2/5
Step-by-step explanation:
Using the rule :
[tex]\sqrt[3]{a^3} = (a^3)^{\frac{1}{3}} = a[/tex]
[tex]\sqrt[n]{-x} = - \sqrt[n]{x} , if \ n \ is \ odd[/tex]
[tex]\sqrt[3]{-\frac{8}{125}} = \sqrt[3]{-\frac{2 \times 2 \times 2}{5 \times 5 \times 5}} = -\frac{2}{5}[/tex]
Answer:
[tex]\sqrt[3]{-\frac{8}{125} }[/tex]
[tex]-\sqrt[3]{2^3} /\sqrt[3]{5^3}[/tex][tex]-2/\sqrt[3]{5^3}[/tex][tex]-\frac{2}{5}[/tex]So, your answer is B) - 2/5
-----------------------------
hope it helps...
have a great day!!
En la fiesta de Juan repartieron el agua en jarras, cada una puede llenar 6 vasos. Si en total se utilizaron 6 jarras, ¿cuántos vasos sirvieron?
Answer:
36
Step-by-step explanation:
6 x 6
If 6 −8p = 38, then p=
Hey there!
6 - 8p = 38
SIMPLIFY EACH SIDES of the EQUATION
-8p + 6 = 38
SUBTRACT 6 to BOTH SIDES
-8p + 6 - 6 = 38 - 8
KEEP: 6 - 6 because that gives you 0
KEEP: 38 - 6 because that helps you solve for your p-value
38 - 6 = 32
NEW EQUATION: -8p = 32
DIVIDE -8 to BOTH SIDES
-8p/-8 = 32/-8
CANCEL out: -8/-8 because that gives you 1
KEEP: 32/-8 because it helps solve for the p-value
NEW and TEMPORARY EQUATION:
p = 32/-8
-4 = 32/-8
32/-2 = -4
Therefore you answer is: p = -4
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Polygon ABCDE rotates 45° clockwise about point F to form polygon FGHIJ, shown in the figure. Find the measure of each angle of polygon ABCDE.
Answer:
117
90
90
127
Step-by-step explanation:
Answer:
Step-by-step explanation:
1. 117
2. 90
3. 90
4. 127
Find the volume.
I need this in now like ASAP 10 points
Answer:
0.48 m^3
Step-by-step explanation:
volume = length * breadth * height
=6m * 4m * 0.02m
=0.48 m^3
2 points
4] The spinner below is cut unevenly. The probability of spinning a 1 or 4
are equal. The probability of spinning a 3 is 1/2 of spinning a 2. What is the
probability of spinning an odd number if the probability of spinning a 2 is
16%? Type in a numerical value in percent form with the % symbol (no
spaces). For example: 1%*
Answer:
Probability of spinning an odd number is 84%
Step-by-step explanation:
The probability of spinning a 1 or 4 is equal. Let this probability be X
Probability of spinning a 2 is 1/16
Probability of spinning a 3 is 1/2 of the probability of spinning a 2 i.e 8%
Sum of spinning 1,2,3 and 4 is equal to 100%
X + 16% + X + 8% = 100
2X = 100 - 16-8
X = 76%
Probability of spinning an odd number i.e one and 3 is
76% + 8% = 84%
PLS HELP ASAP
It takes 24 electricians 36 days to wire a new housing subdivision. How many days would 32 electricians take to do the same job?
Answer: The 32 electricians are expected to finish the job in 27 days.
Step-by-step explanation:
Find the value of F
Answer:
f = 13[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Given that f and e are congruent then e = f
Using Pythagoras' identity in the right triangle
f² + e² = 26² , that is
f² + f² = 676
2f² = 676 ( divide both sides by 2 )
f² = 338 ( take the square root of both sides )
f = [tex]\sqrt{338}[/tex] = [tex]\sqrt{169(2)}[/tex] = 13[tex]\sqrt{2}[/tex] ≈ 18.4 ( to 1 dec. place )
Answer:
f = 25.85751233
Step-by-step explanation:
f^2+E^2=26^2
PLEASE HELP ME!!!
Jennifer's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $2 to buy the supplies to make a fork and $1.20 to buy the supplies to make a spoon. The store sells forks for $6 and spoons for $5.50. Last April Jennifer's Custom Kitchen Supplies spent $27.60 on materials for forks and spoons. They sold the finished products for a total of $98. How many forks and how many spoons did they make last April?
Answer:
8 spoons and 9 forks
Step-by-step explanation:
2 F + 1.2S = 27.60
6 F + 5.5S = 98
solve system of equations
Can someone help me please
Answer:
x = 1
AB = 9
BC = 9
AC = 18
Step-by-step explanation:
Given that B is the midpoint of AC, we can say that
AB = BC
x² + 8x = 4x + 5
subtract (4x+5) from both sides to make the equation equal to 0, enabling us to solve for x
x² + 4x - 5 = 0
Because 5 and -1 add to 4 (the coefficient to x in 4x) and 5 * (-1) = -5 ( the constant), we can factor this out into
(x+5)(x-1) = 0
Therefore, x² + 8x = 4x + 5 can be true at either x=-5. x=1, or both. Plugging these values in the equations to check, starting with x=-5, we get
-5²+8(-5) =4(-5) + 5
-15 = -15
As a line segment cannot have negative length, and x² + 8x = 4x + 5 is negative when x=-5, x=-5 is not a viable solution
Next, for x=1, we get
1²+8(1) = 4(1) + 5
9=9
Therefore, x=1 is the only solution we have.
We have plugged this in for AB and BC, and 1²+8(1) = 4(1) + 5 = x² + 8x = 4x + 5 = 9 for both AB and BC
Next, AC is simply the sum of the two line segments that make them up, AB and BC, so AC = 9 + 9 = 18
circumference of a circle
Answer:
Multiply the radius by 2 to get the diameter.
Multiply the result by π, or 3.14 for an estimation.
That's it; you found the circumference of the circle.
Step-by-step explanation:
Answer:
Step-by-step explanation:
the straight sides are just 4.5 *2 = 9 cm
the arcs are 2[tex]\pi[/tex]r * Ф/360
where Ф= 50 for this problem
and r = 8
the inner arc is 2[tex]\pi[/tex](3.5) *50/360 = 3.05432
the outer arc is 2[tex]\pi[/tex](8)*50/360 = 6.98131
total is 19.0356
to 3 sig figs is 19.036 :)
HELPPPPP
a) -3 x 4 - (-9) ÷3
b) 15 - 2(-8 +-7)
A shopkeeper fixed the marked price of his radio to make a profit of 30 percentage. allowing rs 30 as a discount then the profit is rs 30. find the cost price
Answer:
First Price - 130% of original price
Marked Price(Second Price) - 0.85 of the first price
Second Price: 0.85 x 1.3 x 1 = 1.105
1.105 - 1 = 0.105(10.5%)
In conclusion, the shopkeeper is making a percentage profit of 10.5%.
Bab needs help please!
Answer:
282.6 in³
Step-by-step explanation:
Volume = area circle * height
Area circle = πr²
Area circle = 3.14 * 9 = 28.26
28.26 * 10 = 282.6 in³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
A bat costs $11,856 and decreases in
value by 10% per year what is the range for
this situation and how much will to bout me
worth after 8 years?
What is the measure of EFG?
A. 88°
B. 176°
C. 184
D. 272°
how do i solve this x^2 −12x+36=0
Step-by-step explanation:
x^2-6x-6x+36=0
x(x-6)-6(x-6)=0
(x-6)(x-6)=0
x=6
A garden that is 14 feet by 17 feet will have a pedestrian pathway on the border, making the combined area of the garden and the border 311 square feet what is the width of the pathway
Answer:
The width of the pathway is 5.2 feet
Step-by-step explanation:
Given that the shape of the garden and the walkway is a rectangle, the walkway would have the same length as the garden but would have it's own width.
Let the width of the garden be W and that of the walkway be t while the length of both the garden and walkway is L. The combined area A
= L( W + t)
Given that the combined area of the garden and the border 311 square feet while the garden is 14 feet by 17 feet
311 = 14 (17 + t)
311 = 238 + 14t
collect like terms
14t = 311 - 238
14t = 73
t = 73/14
= 5.2 feet
What is point c on the coordinate
Answer:
6,0
Step-by-step explanation:
(x,y) the point for c is on the 6 so 6 to the right, and it doesnt go up or down at all.
Work out the size of angle x
Pls help thx !
Answer:
83
Step-by-step explanation:
not sure tho____________
Answer:
83 degrees
Step-by-step explanation:
The exterior angle of a triangle can be find by adding up the two inner angles that are not adjacent, so
43 + x = 126
x = 83 degrees
Second way
exterior angle + inner angle = 180
126 + inner angle = 180
inner angle = 54
the sum of the inner angles of a triangle is 180 degrees
54 + 43 + x = 180
97 + x = 180
x = 83 degrees
Can someone help please with this problem
Answer:
-3
Step-by-step explanation:
You subtract y values and divide by difference in x values
2-5=-3
4-3=1
-3/1=-3
When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object
with mass 15 kg, the acceleration of the object is 5 m/s². When the same force acts upon another object, its acceleration is 3 m/s? What is the mass of this
object?
Answer:
The mass of the object will be "25 kg".
Step-by-step explanation:
Given that,
Mass,
m = 15 kg
Acceleration,
a = 5 m/s²
Now,
The force will be:
⇒ [tex]F = ma[/tex]
[tex]=15\times 5[/tex]
[tex]=75 \ N[/tex]
When, acceleration (a) = 3 m/s²
⇒ [tex]F = ma[/tex]
or,
⇒ [tex]m=\frac{F}{a}[/tex]
[tex]=\frac{75}{3}[/tex]
[tex]=25 \ kg[/tex]
What does point B represent on the graph? A) John earns $14.00 each hour. B) John earns $14.00 for two hours of work. C) John earns $7.00 for two hours of work D) John earns $7.00 for four hours of work
Answer:
The answer is B) John earns $14.00 for two hours of work.
24 karat gold is 100% gold. How pure is 8 karat gold?
Answer:
branllest if right
60%
Step-by-step explanation:
Answer:
Your answer is 33.3% as 8 goes into 24 3 times, then 100 - 33.3(repeating)% should equal 100 percent
Step-by-step explanation:
All you have to do is divide 8/24, and convert it into a percent, by moving the decimal twice to the right.
What is the least common denominator of the equation 3/4(x-3)-1/2=2/3
Answer:
3(x-3)/4-1/2=2/3
The least common denominator will be the least common multiple of 4,2,3 which is the product of the highest occurring primes of the numbers prime factorization...
Step-by-step explanation:
4=2*2, 2=2, 3=3, so the least common denominator is 2*2*3=12
Find the volume of a rectangular prism with a length of 9 cm, a height of 13 cm, and a width of 7 cm.
923 cm3
819 cm3
910 cm3
950 cm3
Answer:
819 cm³
Step-by-step explanation:
V=L·H·W
V=9·13·7
V=819 cm³
Answer:
819 cubic cm/ cm3
Step-by-step explanation:
The formula to finding the volume of any prism is V=bh.
Going by this formula, we first will solve for the base.
The formula for a rectangular base is B=LxW.
In your question the length is 9 and the width is 7.
So let's plug this in our base formula: 9x7
Now by simplifying by multiplying the two, we will get a product of 63.
So now our expression is 63h
We now must plug in the height.
According to your question, h=13.
So lets plug it all in.
63(13)
Multiply the two and you get 819.
Since we are finding a volume, this can be labeled as cubic cm or cm3 in your terms.
find the difference between the greatest and the least number of 7 digit formed by 6250 8 4 and 1
Answer:
8,654,210 and 1,024,568
Step-by-step explanation:
biggest number to smallest