Because the angles are vertical angles, the value of x is 1
How to determine the value of x?The angles are given as
A = 7x + 26
B = 4x + 29
The angles are vertical angles
So, we have
A = B
This gives
7x + 26 = 4x + 29
Evaluate the like terms
3x = 3
Divide by 3
x = 1
Hence, the value of x is 1
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Help please math is about to end
Answer:
47 , 52
Step-by-step explanation:
Answer:
first figure area is 47 square units
second figure area is 52
CALC II PLEASE HELP NEED FASST
The fluid force against the window is equal to 931.5 lb.
Given the following data:
Width of viewing portion = 69 inches.Dimension of fish tank = 69 × 28.5 × 1.5 inches.Density of seawater = 64 lb/ft. Thickness of glass = 3/4 inch.How to calculate the fluid force against the window?Generally speaking, the fluid force that is exerted on the fish tank by the seawater is due to the liquid pressure acting over the given area. Also, the fluid force that is exerted on the fish tank is directly proportional to the depth of seawater.
The depth of seawater is given by:
Depth = 28.5 - 1.5
Depth = 27 inches.
Next, we would convert the unit of the depth of seawater and width of viewing portion in inches to feet:
1 inch = 12 feet
Depth = 27 inches to feet = 27/12 = 2.25 feet.
Width = 69/12 = 5.75 feet.
Now, we can calculate the fluid force against the window by using this formula:
Fluid force = (density × depth × width)/2
Fluid force = (64 × 2.25² × 5.75)/2
Fluid force = 1863/2
Fluid force = 931.5 lb.
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Complete Question:
The viewing portion of the rectangular glass window in a fish tank is 69 inches wide and runs from 1.5 inches below the water's surface to 28.5 inches below the surface. Find the fluid force against this portion of the window. The weight-density of seawater is 64 lb/ft. What is the fluid force against the window?
Alfonso and Cordell each bought one raffle ticket at the state fair. If 50 tickets were randomly sold, what is the probability that Alfonso got ticket 14 and Cordell got ticket 23? Express your answer as a fraction in simplest form.
The probability that Alphonso gets ticket 14 and Cordell gets ticket 23 is = 1/2450
Alphonso can pick a ticket from 50 tickets in 50 ways;
When Alphonso pick a ticket, then Cordell can pick a ticket in 49 ways;
Total number of ways = 50 × 49 = 2450;
Alphonso can get ticket 14 and Cordell can get ticket 23 in only one way;
So, the probability that Alphonso gets ticket 14 and Cordell gets ticket 23 is = 1/2450;
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Solve for x.
x³ = 1000
Enter your answer in the box.
X =
Answer:
10
Step-by-step explanation:
10*10*10=1000
10^3=1000
you buy x packs of pencils, twice as many packs of erasers, and three times as many rolls of tape. write an expression in simplest form for the total amount spent.
pencils cost 1.85
erasers cost 3.15
tape cost 2.50
Items purchased:
x packs of pencils,
twice as many packs of erasers, total number of eraser packs = 2x
three times the number of tape rolls, number of tape rolls = 3x
total expenditure = x m + 2xn + 3xp = x(m + 2n + 3p)
We now have two possibilities:
1- All three goods are the same price:
cost of one pencil pack = cost of one eraser pack = cost of one roll of tape = m
x m + 2xm + 3xm = 6xm
total amount spent
2- The three goods are not the same price:
m = the cost of one pencil pack
n = the cost of one pack of erasers
One roll of tape costs p.
total expenditure = x m + 2xn + 3xp = x(m + 2n + 3p)
An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Let us understand how to write expressions. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression.
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4. A lawn sprinkler shoots out a circle of water that goes
12 feet in all directions. What is the area of the part of the
lawn that the sprinkler waters?
Atlanta and Cincinnati 440 miles apart. John leaves Cincinnati; driving
toward Atlanta at an average rate of 60 mph. Pat leaves Atlanta at the same time, driving toward Cincinnati in her antique auto, averaging 28 mph. How long will it take them to meet?
Answer:
5 hours
Step-by-step explanation:
28x = 60(440-x)
28x = 60*440 - 60x
88x = 60*440
x = 60*440/88
x = 300mi, distance Jon travels
300mi/60mph = 5hrs, the time it took them to meet
CHECKING OUR ANSWER
60MPH*5HR + 28MPH*5HR = 300MI + 140MI = 440MI
Translate the image by (3x - 1, y + 5) D(1,2)→ D'_ E(-3,-5)→E'. F(4,-1)→→ F
The image of D (1, 2) is D' ( 2, 7).
The image of E (-3 -5) is E' ( -10, 0).
The image of F (4, -1) is F' ( 11, 4).
What is Coordinates?
A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given points are;
D (1, 2), E(-3, -5) and F(4, -1)
Now, The rule is to find the image of points is;
(x, y) → (3x - 1, y + 5)
Hence,
The image of D (1, 2) = (3 * 1 - 1, 2 + 5)
= (3-1, 7)
= (2, 7)
The image of E (-3 -5) = (3*-3 - 1, -5 + 5)
= (-9-1, 0)
= (-10, 0)
The image of F (4, -1) = (3*4 - 1, -1 + 5)
= (12-1, 4)
= ( 11, 4 )
Therefore, The image of D (1, 2) is D' ( 2, 7).
The image of E (-3 -5) is E' ( -10, 0).
The image of F (4, -1) is F' ( 11, 4).
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Tia climbed to the top of an observation tower overlooking a bird sanctuary and used the telescope at the top to observe two nests. The first nest was 400 meters away from the observation tower. Tia turned the telescope 135 degrees to observe the second nest, which was 300 meters away. How far apart are the two nests?
Answer:
648 m
Step-by-step explanation:
Given observations of two nests, one at 400 m, and the other at 300 m in a direction 135° from the first, you want to know the distance between the nests.
Law of CosinesThe law of cosines can be used to find the third side of a triangle, given two sides and the angle between them. It tells us ...
c² = a² +b² -2ab·cos(C)
In this scenario, we have a=400, b=300, and C=135°. The distance c is then ...
c² = 400² +300² -2·400·300·cos(135°) ≈ 419,705.63
c ≈ √419,705.63 ≈ 647.8
The two nests are about 648 meters apart.
1. The drawing shows a series of transformations.
III
Which sequence moves Triangle I to Triangle II to Triangle III?
A reflection followed by rotation
B. translation followed by rotation
C. translation followed by reflection
reflection followed by translation
D.
The drawing shows a series of transformations and the sequence that moves Triangle I to Triangle II to Triangle III is translation followed by reflection.
A reflection in arithmetic is a form of geometrical transformation, wherein an item is flipped to create a reflect or congruent image. The bisector of the plane is referred to as the definition on the line of reflection, and it is perpendicular to the preimage and photograph.
In the coordinate plane we will draw the translation if we recognize the path and how far the figure have to be moved. To translate the factor P(x,y) , a units right and b units up, use P'(x+a,y+b) .
A translation is a form of transformation that takes every factor in a figure and slides it the equal distance in the equal path.
Here, the image is first translated and then rotated.
Therefore, the drawing shows a series of transformations and the sequence that moves Triangle I to Triangle II to Triangle III is translation followed by reflection.
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You know the sum of -5 and another integer is a positive integer. What can you conclude about the sign of the other integer? What can you conclude about the value of the other integer. Explain.
The sign of the other integer is positive. Value of other integer is greater than 5.
When we add two numbers of the same sign, final number has the same sign of the initial numbers
For example, we add 3 and 8,
3+8= 11
Both the numbers 3 and 8 are positive so our result is also positive.
On the other hand when we add -3 and -8, then the result will be
-3 +(-8)= -11
Both the numbers are negative, so our result also negative.
When two numbers of different sign are being added then the sign of the larger number decide the sign of the final number
For example, we add -3 and 8.
-3+8= 5
8 is larger than 3, and has positive sign, so the result will also be positive.
Suppose other number is x.
-5+x>0 (As the sum is positive)
Add 5 on both the sides
-5+x+5>0+5
x>5
As we can see the number is greater than 5 and has a positive value.
Final answer: The sign of the other integer is positive. Value of other integer is greater than 5.
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4. Convert 3,500,000,000 to a single digitscientific
Answer:
3.5 × 10 to the 8th power
Step-by-step explanation:
What is the volume of this figure
5ft 10ft 15ft 15ft 5ft 10ft 5ft
PLEASE HELP! I WILL GIVE BRAINLEST
Answer: You're dividing, and the answer is 1/2, 1/4, 1/3, 1/8
Step-by-step explanation:
What is the five number summary for the data set, 2,2,4,4,5,5,6,7,9
Answer:
4.88
Step-by-step explanation:
2+2+4+4+5+5+6+7+9=44
44÷9=4.88
Answer=4.88
is it true that two pairs of adjacent sides of a kite are equal
Yes , it is true that two pairs of adjacent sides of a kite are equal .
A kite is a quadrilateral with two pairs of equal adjacent sides. The angles between adjacent pairs of sides are equal. The kite shape is a rectangle with two pairs of adjacent sides of equal length. The side pairs of the kite are not parallel, but the diagonal pairs are equal.If two sides share a common angle, then they are called adjacent sides.A quadrilateral with two pairs of adjacent sides equal in length is called a kite. Kites also have one pair of opposite angle equal as shown in the figure below.
Hence , the given statement is true .
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What inequality is represented by the number line graph?
Answer:
D. x ≤ 5
Step-by-step explanation:
The closed circle means greater than or equal to (≤) or less than or equal to (≥). The open circle is greater than (<) or less than (>).
And since the circle is closed and the arrow is going to the right, than x is either greater than 5 or equal to 5
20₁
R
Which two triangles are similar? The triangles are not
drawn to scale.
S
6
4.8
3.6
5.5
B
W
6.9
4.1
Y
A ATUVAWXY
AQRS-AWXY
AQRSATUV
T
1.8
2.4
U
The two similar triangles in this problem are given by:
C. QRS and TUV
What are similar triangles?
Similar triangles share these two features:
Hence, the similar triangles are QRS and TUV, as the side lengths proportions are given as follows:
3/6 = 2.4/4.8 = 1.8/3.6.
Hence option C is correct.
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What is the area of the figure shown below?
Round your answer to the nearest tenth, but do not include "ft2" with your response.
Answer:
37.5
Step-by-step explanation:
5x5 = 25. That's your square. For the triangle, 5x5 = 25. 25/2 = 12.5 25+12.5 = 37.5.
B
What is the intersection of the two planes?
The intersection of the two planes is a Line.
According to the statement
We have to find that the Intersection of the planes.
So, For this purpose, we know that the
An intersection is a single point where two lines meet or cross each other.
From the given information:
A plane is a two-dimensional doubly ruled surface spanned by two linearly independent vectors.
And then the intersection of the plane becomes:
Then
The intersection of two planes is a line. If the planes do not intersect, they are parallel.
They cannot intersect at only one point because planes are infinite.it means parallel planes have no intersection point.
So, The intersection of the two planes is a Line.
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I need help on this please and thank you!
By inductive reasoning we can say that the conclusion is based on observing the four numbers in the sequence.
How to use Inductive Reasoning?
We are given the arithmetic series as;
5, 10, 15, 20, .......
From the formula of the nth term of an arithmetic series, we know that;
a_n = a + (n - 1)d
where;
a is first term
n is position of term
d is common difference
Thus, for this series, it is clear that the common difference is 5. Thus the fifth term is;
a_5 = 5 + (5 - 1)5
a_5 = 5 + 20
a_5 = 25
Thus, by inductive reasoning we can say that the conclusion is based on observing the four numbers in the sequence.
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The cost of a refrigerator to a store owner was $500, and she sold the refrigerator for $1090.
What was her percent of profit based on selling price? Follow the problem-solving process and round your answer to the nearest hundredth if necessary.
Answer:
She made 118% profit.
Step-by-step explanation:
Function yes or no what is the domain and range
Step-by-step explanation:
I assume the grid units are single units (1, 2, 3, ...).
to be a function every value of x must have exactly one value of y.
but that is violated at x = 2. at that point y can be either +3 or -3 (indicated by the 2 points at x=2).
so, no, it is not a function.
the domain is the interval or set of all valid x (input) values.
since we have no continuous curve but single points, it is a set :
x € {-4, -3, -2, 1, 2, 3, 6}
the range is the interval or set of all valid y (function result) values. again, it is a set for the same reasons :
y € {-3, -2, 0, 1, 3, 4}
please help will give Brainly!
Answer:
Range is 21
I believe
Step-by-step explanation:
A number y satisfies y²⁴ - 256 = 0. What equation does the number x = y⁴ satisfy?
Answer:
> y²⁴- 256 = 0
> (y⁴)
x-256 = 0
or
x= 256
Step-by-step explanation: i have no idea if i am right but pls lmk if i am wrong have a good day/night (: <3
The units of the trail map at the right are in kilometers. Suppose the trails are straight. Find the distance you would travel along each trail to the nearest tenth of a kilometer.
(see picture)
The distance of each of the paths are as follows;
25) Distance of Low Trail is; d = 17.1 km
26) Distance of willow walk is; d = 20.6 km
27) Distance of Pond Walk is; d = 8.5 km
28) Distance of Meadow Trail is; d = 22.8 km
How to find the Distance between Coordinates?
The formula for distance between two coordinates is;
d = √[(x1 - x2)² + (y1 - y2)²]
25) Distance of Low Trail is;
d = √[(14 - 12)² + (-2 - 15)²]
d = 17.1 km
26) Distance of willow walk is;
d = √[(10 + 4)² + (12 - 1)²]
d = 20.6 km
27) Distance of Pond Walk is;
d = √[(-4 + 12)² + (12 - 15)²]
d = 8.5 km
28) Distance of Meadow Trail is;
d = √[(14 + 4)² + (12 + 2)²]
d = 22.8 km
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Find the length of UW(with a line over it) if W is between U and V, UV = 16.8 centimeters, and VW = 7.9 centimeters.
Please explain as well.
Answer:
8.9 cm
Step-by-step explanation:
We have
[tex]\overline {UV} = 16.8 cm\\\\\overline {WV} = 7.9 cm\\\\ Since all lines are scalars, \overline{WV} = \overline{VW}\\\textrm{We see that \overline{UW} + \overline{WV} = \overline{UV}\\\\\overline {UW} \\ = \overline {UV} - \overline {WV} = 16.9 - 7.9 = 8.9 cm}[/tex]
Find the area and the perimeter of a rectangle with a length of 2√7 feet and a
width of 10√7 feet.
Answer:
see explanation
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = lw ( l is the length and w the width )
using the property [tex]\sqrt{a}[/tex] × [tex]\sqrt{a}[/tex] = a , then
A = 2[tex]\sqrt{7}[/tex] × 10[tex]\sqrt{7}[/tex]
= 2 × 10 × [tex]\sqrt{7}[/tex] × [tex]\sqrt{7}[/tex]
= 20 × 7
= 140 ft²
----------------------------------------
the perimeter (P) is calculated as
P = 2(l + w)
= 2(2[tex]\sqrt{7}[/tex] + 10[tex]\sqrt{7}[/tex] )
= 2(12[tex]\sqrt{7}[/tex] )
= 24[tex]\sqrt{7}[/tex] ft
On Thursday, it rained four-fifths of an inch. On Friday, it rained an additional one-third of an inch. What was the tota
rainfall on Thursday and Friday?
The total rainfall on Thursday and Friday was
(Type an integer or a simplified fraction.)
inches.
Answer:
1 2/15 inches
Step-by-step explanation:
First you need to make the denominator of the two fractions match.
4/5 and 1/3
the least common multiple of these is 15
4/5 becomes 12/15
1/3 becomes 5/15
add them together
17/15
subtract 15 from 17 because 15/15 is one
we get 2
put 2 as the numerator and 15 as the denominator
What would be the reason for step #3?
Answer:
Definition of perpendicular lines
Step-by-step explanation: