Answer:
About 34.5 which you can round to 35
Step-by-step explanation:
First you find the hypotenuse of 30 and 16 which is 34
Then the hypotenuse of 34 and 6 which is about 34.5
The length of the hose from the top corner to the bottom corner farthest away will be 34.5 feet
What is a Rectangular Prism?A rectangular prism is a 3-D figure, which has 6 faces, 8 vertices and 12 edges. All of the faces will be in rectangular shape.
Rectangular prism has three dimensions, namely, length, width and height.
Length of the swimming pool = 30 feet
Width of the swimming pool = 16 feet
Height of the swimming pool = 6 feet
We have to find the length of the hose from the top corner to the bottom corner farthest away.
For that first we have to find the length of the hypotenuse of the triangle with base = 30 feet and altitude = 16 feet
= √(30² + 16²)
= 34 feet
Now, we have to find the hypotenuse of the triangle with base = 34 feet and altitude = 6 feet.
= √(34² + 6²)
= 34.5 feet
Hence the length of the hose from the top corner to the bottom corner farthest away is 34.5 feet.
To learn more on Rectangular prism, click:
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5)
Solve: 5x - 7x + 6 = -2(x - 3).
A)
0
B)
mit
2
infinitely many solutions
Answer:
Option C) Infinitely many solutions is correct option.
Step-by-step explanation:
We need to solve the equation [tex]5x - 7x + 6 = -2(x - 3)[/tex] and find value of x
The equation can be solved using DMAS rule.
Solving:
[tex]5x - 7x + 6 = -2(x - 3)[/tex]
Multiply -2 with terms inside the bracket
[tex]5x - 7x + 6 = -2x +6[/tex]
Now, we will combine like terms. Like terms are those terms that have same variable. In our case 5x, -7x and -2x are like terms and 6,6 are like terms.
[tex]5x - 7x +2x=-6 +6\\7x-7x=-6+6\\0=0[/tex]
Solving the equation we get 0=0 it means that the solution will have infinitely many solutions, because it will be true for every value of x.
So, Option C) Infinitely many solutions is correct option.
answer quick please
Which sentence can be represented by the equation 5 m=15?
The sum of 5 and a number is 15.
Three-fifths more than a number is 15. Three-fifths times a number is 15. 3
The quotient of Ğ and a number is 15.
Answer:
the answer is c
Step-by-step explanation:
Three-fifths times a number is 15.
Martha went to a restaurant with some friends. The three of them split a large pizza. Martha spent a total of $11. How much was the large pizza? (pleasee!!)
Answer:
$33 or $11Step-by-step explanation:
There could be two scenarios:
1. Three friends share the pizza and pay equally. The price is then:
11*3 = 33$2. Three friends share the pizza that Martha paid for. The price is then:
11$giving brainliest seems like an easy question.
Answer:
Yes, she is correct
Step-by-step explanation:
All you really have to do is multiply 1/5 and 3/4. We can separate her backyard in 5 equal parts. In one of those parts, we have her garden, and we break it down into 4 pieces, and make three of those tomato gardens. Now if we break all 5 parts of her backyard into 4 pieces, we can double check our answer, and see that there are 20 pieces, but only 3 have tomatoes. Of course, that's only to double check, but you could also use this method as a model.
help! algebra question
In an A-Frame house, the roof extends to the ground level. If each side of the roof meets the ground at a 62° angle, what will be the measure of the angle where the two sides of the roof meet?
Answer:
36 degrees
Step-by-step explanation:
Angles in a triangle add up to 180.
180-62-62=36
36 degrees
Step-by-step explanation:
what are the factors of 15
Answer:
[tex]factors \: of15 = 3 , 1\: and \: 5[/tex]
If x + 2y = 9 and 3x - y = -8, what is the value of (2x+y)?
Answer:
The value of (2x+y) is 3.
Step-by-step explanation:
First, we have to find the values of x and y.
We have that:
x + 2y = 9, which also means that:
x = 9 - 2y
Replacing into the second equation, to find y:
[tex]3x - y = -8[/tex]
[tex]3(9 - 2y) - y = -8[/tex]
[tex]27 - 6y - y = -8[/tex]
[tex]7y = 35[/tex]
[tex]y = \frac{35}{7}[/tex]
[tex]y = 5[/tex]
Finding x:
[tex]x = 9 - 2y = 9 - 10 = -1[/tex]
What is the value of (2x+y)?
2(-1) + 5 = -2 + 5 = 3
The value of (2x+y) is 3.
PLS HELP ILL GIVE YOU BRAINLIEST
What is the area of the circle in terms of pi?
Answer:
C=9
Step-by-step explanation:
A = πr^2
A = π 9
9
What is the solution to the equation? a+5 2/3=9
Answer:
a = 3.333... (3 repeating) or 3 1/3
Step-by-step explanation:
Solve for a by simplifying both sides of the equation, then isolating the variable.
Write an algebraic expression. The product of two numbers is 94, and one of the numbers is n. What is the other number?
Answer:
Let say the another number y
N×Y=94
Y=94/N
So the algebric expression is 94/N
Suppose that E and F are points on the number line.
If EF = 12 and E lies at -9, where could F be located?
Answer:
either at -21 or 3
Step-by-step explanation:
we know that the length is a total of 12 so it either goes 12 spaces to the left or to the right of -9
-9 - 12 is -21 and -9 + 12 is 3
what’s the answer for this question?
HELP PLEASE WILL MARK BRAINLIEST WHAT IS -5x^2+7x+1 from 8x^2+x-10
Answer:
13x^2- 6x - 9
Step-by-step explanation:
Please use the word "subtraction" or "less ... " or similar.
8x^2+x-10 less -5x^2+7x+1 is
8X^2 + x - 10
-(-5x^2+7x+ 1)
-----------------------
13x^2- 6x - 9
V² = u² + 2as
u=8 a= -7 s= 2
Work out a value of v
Answer:
v=6
Step-by-step explanation:
Just plug in the numbers u already know.
v²=8²+2*(-7)*2
V²=64-28
v²=36
v=√36
v=6
which answer is equivalent to √ 25/√ 49
Exact Form:
5/7
Decimal Form:
0.7142
The formula for the volume of this rectangular prism is:
V = x 3 + 5x 2 - 4x - 20
The length is x+5; the width is x+2; the height is unknown. Find an expression for the height.
Show all steps of your work for full credit.
Answer:
Step-by-step explanation: Explanation:
If
L
,
H
and
W
represent the length, height and width of the prism, then the volume of the rectangular prism is :
V
=
L
.
H
.
W
............. (1)
Given :
V
=
x
3
+
11
x
2
+
20
x
−
32
;
............... (2)
W
=
(
x
−
1
)
;
H
=
(
x
+
8
)
.
Let
L
=
(
x
+
l
0
)
be the expression for the length, then the RHS of equation (1) becomes
L
.
H
.
W
=
(
x
−
l
0
)
(
x
+
8
)
(
x
−
1
)
,
=
(
x
+
l
0
)
(
x
2
+
7
x
−
8
)
=
(
x
+
l
0
)
(
x
2
+
7
x
−
8
)
=
x
3
+
(
7
+
l
0
)
x
2
+
(
7
l
0
−
8
)
x
−
8
l
0
..... (3)
Comparing this to the LHS of equation (1), we get the following set of equations to solve for
l
0
,
7
+
l
0
=
11
;
7
l
0
−
8
=
20
;
8
l
0
=
32
;
l
0
=
4
Therefore
L
=
(
x
+
4
)
the diagonal of a rectangular tv is 52 inches long. the screen is 45 inches wide. how high is the screen? round decimal to the nearest tenth.
A. 97
B. 68.8
C. 26.1
D. 7
True or false, A triangle with side lengths of 9 cm, 19 cm, and 17 cm is a right triangle.
Answer:
False
Step-by-step explanation:
A right triangle has all side lengths the same
Answer: give me brainliest now
Step-by-step explanation:
Willard Hudson took out a simple interest loan of $6,000.00 at 10 percent interest for 24 months. His monthly payment is $276.60 After 4 payments the balance is $5,082.21. He pays off the loan when the next payment is due. What is the interest? What is the final payment? How much is saved by paying the loan off early?
9514 1404 393
Answer:
a) $42.35
b) $5124.56
c) $407.44
Step-by-step explanation:
a) The interest due is that for one month on the remaining balance:
I = Prt
I = $5082.21·0.10·1/12 = $42.35
__
b) The final payment is ...
$5082.21 +42.35 = $5124.56
__
c) Had Hudson continued paying, he would have paid ...
20·$276.60 = $5532.00
So, he saved ...
$5232.00 -5124.56 = $407.44
a⋅a⋅c⋅c =
Evaluate the expression when a=3.
6+a =
Answer:
The sum of two numbers is 240. If one number is twice the other number, find the two numbers.
Answer:
The sum of two numbers is 240. The larger number is 6 less than twice the smaller. Find the numbers.
----------
Let the smaller be "x" ; Larger is "2x-6"
EQUATION:
x + 2x-6 = 240
3x= 246
x = 82 (smaller)
2x-6 = 158 (larger)
Step-by-step explanation:
Answer:
160 and 80
Step-by-step explanation:
(5pts) Recall that a standard deck of cards has 52 cards. The cards can be classified according to suits or denominations. There are 4 suits, hearts, diamonds, spades and clubs and there are 13 cards, each of a different denomination, in each suit. The 13 denominations are, Aces, Kings, Queens, ...,Twos, with 4 cards in each denomination (one of each suit). A poker hand consists of a sample of 5 cards drawn from the deck (without replacement). How many poker hands consist of 2 Aces, 2 Kings and a card of a different denomination?
Answer:
1584
Step-by-step explanation:
Distribution of cards in a deck:
Total number of cards = 52
Total number of cards drawn = 5
Sampling without replacement :
Number of Aces = 4
Number of kings = 4
Card different from Aces and kings = total cards - (4 + 4) ;
52 - 8 = 44 cards
(Drawing 2 aces from 4) * (2 kings from 4) * 1 other card of different denomination)
Using combination :
4C2 * 4C2 * 44C1
Using calculator :
6 * 6 * 44
= 1584
Recall the Spice Girls Emporium example. A list of useful information is given below. n = 36 The sample mean income is $41,100 The population standard deviation is estimated to be $4,500 What if we wanted to change our level of confidence to be 99%? What would our new margin of error be? Your answer should be given as an integer.
Answer: Margin of error = 1932
Step-by-step explanation: Margin of Error is the amount of variation a survey's results have. In other words, it is understood as the measure of variation one can see if the same survey was taken multiple times.
Margin of error is calculated as [tex]z\frac{\sigma}{\sqrt{n}}[/tex]
z is z-score related to the percentage of confidence, in this z = 2.576
σ is population standard deviation
n is how many individuals are there in the sample or population
With a new level of confidence of 99%:
ME = [tex]2.576.\frac{4500}{\sqrt{36}}[/tex]
ME = 2.576(750)
ME = 1932
The new margin of error would be 1932.
find the value=
sin 30° + cos 60° + tan 0
Answer:
1/2+1/2 + 0
= 1
Step-by-step explanation:
sin30° = 1/2
cos 60° = 1/2
tan 0° = 0
Solve the system of equations, y = x – 3 and y = –2x + 6, using the substitution method.
(no answer choices)
Answer:
x=9
Step-by-step explanation:
-2x+6=x-3
-1x+6=-3
-1x=-9
divide both sides by -1
x=9
hope this helps
Answer:
(3, 0)Step-by-step explanation:
Given system:
y = x – 3 and y = –2x + 6Substitute y and solve for x:
x - 3 = -2x + 6x + 2x = 6 + 33x = 9x = 3Find y:
y = x - 3 = 3 - 3 = 0Solution is:
(3, 0)What is the correct expanded form and value of
5
?
Answer:
[tex]\frac{4}{5} .\frac{4}{5} .\frac{4}{5} =\frac{64}{125}[/tex]
Step-by-step explanation:
An "exponential form" is being used for "repeated multiplication." The value of [tex](\frac{4}{5} )^3[/tex] is equal to [tex]\frac{4}{5}[/tex] being repeatedly multiplied by itself.
[tex]\frac{4}{5}[/tex] x [tex]\frac{16}{25}[/tex] x [tex]\frac{4}{5}[/tex] = [tex]\frac{64}{125}[/tex]Choice A is incorrect because it is an addition of fraction and also an incorrect way of adding the numerators. Choice C is also incorrect because it also used the addition operation. Choice D is incorrect because it repeatedly multiplied the reciprocal of [tex]\frac{4}{5}[/tex], which is [tex]\frac{5}{4}[/tex], instead of the fraction itself.
What value of x satisfies the conclusion of the mean value theorem for f(x) = ln(x3) over the interval [1, e2]?
Answer:
[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].
Step-by-step explanation:
According to the Mean Value Theorem, for all function that is differentiable over the interval [tex][a, b][/tex], there is at a value [tex]c[/tex] within the interval such that:
[tex]f'(c) = \frac{f(b)-f(a)}{b-a}[/tex] (1)
Where:
[tex]a[/tex], [tex]b[/tex] - Lower and upper bounds.
[tex]f(a)[/tex], [tex]f(b)[/tex] - Function evaluated at lower and upper bounds.
[tex]f'(c)[/tex] - First derivative of the function evaluated at [tex]c[/tex].
If we know that [tex]f(x) = \ln x^{3} = 3\cdot \ln x[/tex], [tex]f'(x) = \frac{3}{x}[/tex], [tex]a = 1[/tex] and [tex]b = e^{2}[/tex], then we find that:
[tex]\frac{3}{c} = \frac{3\cdot \ln e^{2}-3\cdot \ln 1}{e^{2}-1}[/tex]
[tex]\frac{3}{c} = \frac{6\cdot \ln e-3\cdot \ln 1 }{e^{2}-1 }[/tex]
[tex]\frac{3}{c} = \frac{6}{e^{2}-1}[/tex]
[tex]c = \frac{1}{2}\cdot (e^{2}-1)[/tex]
[tex]c \approx 3.195[/tex]
[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].
Answer:
C. 1/2(e^2-1)
Step-by-step explanation:
Edge AP Cal 2022
75% of what number is 120?
Question 1 options:
1.6
160
10,800
Answer:
160
Step-by-step explanation:
First, lets assign a varible x. Let x be the number where 75% of x is 120. Next, we can convert the words of the problem into an equation. Now we have, 75% * x = 120 = 0.75x = 120. By multiplying both sides by 100, we get, 75x = 12000. So, x = 160.
2x+5 = 11
What is x in this equation
Answer:
x=3
Step-by-step explanation:
Subtract 5 from both sides:
2x=6
Divide both sides by 2:
x=3
Answer:
3
Step-by-step explanation:
2x+5=11
subtract 5 from both sides of the equation
2x=6Then divide by two to both sides of the equation
x=3