Answer:
Linear
Step-by-step explanation:
Mai owes the bank $60. She gets $85 for her birthday and deposits it into her account. How much does she now have in the bank?
From a point 55 feet away from the foot of a tower, the angle of elevation of the top of the
tower is 60°. What is the height of the tower?
Answer:
The height of the tower is approximately 95.263 feet
Step-by-step explanation:
The given parameters are;
The distance from the foot of the tower where the angle of elevation is measured = 55 feet
The angle of elevation to the top of the tower from a point 55 feet from the foot of the tower, θ = 60°
Therefore, by trigonometric ratio, we have;
[tex]tan(\theta )= \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length} = \dfrac{The \ height \ of \ the \ tower}{Distance \ from \ foot \ of \ tower}[/tex]
Therefore, we have;
[tex]tan(60 ^{\circ} ) = \dfrac{The \ height \ of \ the \ tower}{55 \ feet}[/tex]
The height of the tower = 55 feet × tan (60°) = 55 × √3 feet ≈ 95.263 feet.
Hogan has saved $2,765 for a trip to Korea. The trip will cost at least $5,245.
Which Inequality shows how much more money (m) Hogar needs to save for his trip to Korea?
Answer:
Step-by-step explanation: 5795f
Amount of money required for Hogan needs to save for his trip is $ 2480
m ≥ 2480
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the minimum amount of money required for the trip = A
The total amount of money required by Hogan for his trip = $ 5245
The amount of money Hogan saved for the trip = $ 2765
Noe , the equation will be
The remaining amount required for the trip =
total amount of money required by Hogan for his trip - amount of money Hogan saved for the trip
The remaining amount required for the trip = $ 5245 - $ 2765
The remaining amount required for the trip = $ 2480
Therefore , the minimum amount of money is m ≥ 2480
Hence , Amount of money required for Hogan needs to save for his trip is $ 2480
m ≥ 2480
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What is the interquartile range of the data in the box plot below?
Answer:
interquartile range = 12
Option D is correct option.
Step-by-step explanation:
We need to determine the interquartile range of the data in the box plot below.
The boxplot is made up of
Minimum Value, First Quartile, Median, Third Quartile and Maximum Value
Looking at the box plot, we get:
Minimum Value: 72
First Quartile: 73
Median: 80
Third Quartile: 85
Maximum Value: 95
The formula used to find interquartile range is: [tex]Interquartile\: Range=Third\;Quartile-First\:Quartile[/tex]
Putting values of First Quartile: 73 and Third Quartile: 85 we can find interquartile range
[tex]Interquartile\: Range=Third\;Quartile-First\:Quartile\\Interquartile\: Range=85-73\\Interquartile\: Range=12[/tex]
SO, we get interquartile range = 12
Option D is correct option.
Please help ASAP!!!!!!!!!!
Can any kind soul help me ASAP!
Answer: [tex]\frac{-2p^2+10p-8}{p^2-4}[/tex]
This can be written as (-2p^2+10p-8)/(p^2-4) on a keyboard.
=======================================================
Work Shown:
[tex]\frac{2p}{p^2-4} + \frac{4-2p}{p+2}\\\\\\\frac{2p}{(p+2)(p-2)} + \frac{4-2p}{p+2}\\\\\\\frac{2p}{(p+2)(p-2)} + \frac{(4-2p)(p-2)}{(p+2)(p-2)}\\\\\\\frac{2p+(4-2p)(p-2)}{(p+2)(p-2)}\\\\\\\frac{2p-2p^2+8p-8}{p^2-4}\\\\\\\frac{-2p^2+10p-8}{p^2-4}\\\\\\[/tex]
---------------------
Explanations:
In step 2, I factored p^2-4 using the difference of squares rule.In step 3, I multiplied top and bottom by (p-2) so that the second fraction has a denominator of (p+2)(p-2). We can only add fractions that have the same denominator.In step 5, I used the FOIL rule to expand (4-2p)(p-2) into -2p^2+10p-8. You can use the distribution rule or the box method as alternatives.
Which best describes the figure that is represented by the following coordinates?
A(-4, 3), B (2,3), (3, -1) and D(-5, -1)
a rhombus
a parallelogram
a trapezoid
a rectangle
Answer:
a rhombus that is the answer
The best describes the figure that is represented by the following coordinates A(-4, 3), B (2,3), (3, -1), and D(-5, -1) will be a rhombus.
What is a rhombus?Its a parallelogram but all sides of the same length.
A rhombus is a parallelogram whose all sides are of equal lengths.
Its diagonals are perpendicular to each other and they cut each other in half( thus, they're perpendicular bisector of each other).
Its vertex angles are bisected by its diagonals.
The triangles on either side of the diagonals are isosceles and congruent.
The best describes the figure that is represented by the following coordinates A(-4, 3), B (2,3), (3, -1), and D(-5, -1) will be a rhombus.
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pls help ------ During the day, Lola's dog is tied by rope to a tree in the center of her yard. The scale drawing below shows the area that the dog has to run, in inches. If the actual length of the rope is 12 1/2 feet, what is the scale used in the drawing?
Answer: 8 : 1
we have: [tex]12\frac{1}{2}=\frac{25}{2}[/tex]
[tex]1\frac{9}{16} =\frac{25}{16}[/tex]
=> the scale used in the drawing is [tex]\frac{25}{2}:\frac{25}{16}=\frac{16}{2}=\frac{8}{1}[/tex][tex]\frac{25}{2}:\frac{25}{16}=\frac{16}{2}=\frac{8}{1}=8:1[/tex]
Step-by-step explanation:
hi guys! i need help with slopes please! so my problem is
(20,-3) (19,-20)
x1 y1 x2 y2
when i solved i got -17/-1, but my calculator says it's 17! i tried searching and it said to divide the fraction to get 17, but why do i have to divide? can someone please help me, thank u!
Answer:
-17/-1 and 17 are the same so you are correct!
Step-by-step explanation:
in the fraction, -17/-1, you want to get rid of the negatives. in order to do that, you have to get rid of them on both the numerator and denominator! so the new fraction would be 17/1, and that would be simplified to just 17! so you are correct, i hope this helps!
Answer:
yes your cauculators correct, it is 17
Step-by-step explanation:
you need to divide the fraction since there are 2 negative numbers
what is 0.96 X 7.1 <-----
Answer:
6.816. But if you want to round up then 7
Step-by-step explanation:
Here I need the lateral surface area
6x - 4 = 2x + 8
Show work fast
Answer:
x=3
Step-by-step explanation:
6x-4=2x+8
-2x=-2x
4x-4=8
+4=+4
4x=12
4x/4=12/4
x=3
Answer:
Step-by-step explanation:
5 miles to 8km convert 32.5 miles to km
Answer:
52
Step-by-step explanation:
I'll give you a brainly just help
Answer:
yeah
Step-by-step explanation:
yeah
Answer:
7,200
Step-by-step explanation:
180,000 divided by 100= 1,800=1%
1,800 x 4 = 7,200 = 4%
Alex paid $3.59 for 1.35 pounds of chicken.
To the nearest cent, how much did Alex pay per pound?
Answer:
Step-by-step explanation:
Alex paid 3.59/1.35=2.66 per pound
Alex paid $3.59 for 1.35 pounds of chicken then Alex pay per pound is $2.7 (round to the nearest cent) and this can be determined by using the unitary method.
Given :
Alex paid $3.59 for 1.35 pounds of chicken.
The unitary method can be used to determine the nearest cent did Alex pay per pound.
In the unitary method, there are two important terms namely as single unit and necessary unit. First, single unit is determined by using that necessary unit can be evaluated.
Given that Alex paid $3.59 for 1.35 pounds of chicken than for one pound Alex paid:
[tex]=\dfrac{3.59}{1.35}\times 1[/tex]
= $2.66 [tex]\approx[/tex] $2.7
Alex paid $3.59 for 1.35 pounds of chicken then Alex pay per pound is $2.7 (round to the nearest cent).
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Kyle's father is 67 ft. tall. Kyle is 5 feet tall. How many times taller is Kyle's father than him?
Answer:
13.5
Step-by-step explanation:
to find the answer you divide 67 and 5 and get 13.5. to check your answer, you can do 13.5 x 5 and get 67 because 67 is 13.5 times 5. why is kyles dad so tall though..
The diagonal length of a rectangle is 25 inches, and the length of the rectangle is 9 inches.
Which measurement is closest to the width of this rectangle in inches?
A) 15.8
B) 16
C) 23.3
D) 34
Answer:
Option C is the right answer.
Step-by-step explanation:
Given that:
Length of diagonal = 25 inches
Length of rectangle = 9 inches
Width of rectangle will be one of the two legs of right angled triangle and the diagonal will be the hypotenuse.
Using Pythagorean theorem;
[tex]a^2+b^2=c^2\\(9)^2+w^2=(25)^2\\81 + w^2 = 625 \\w^2 = 625-81\\w^2 = 544[/tex]
Taking square root;
[tex]\sqrt{w^2}=\sqrt{544}\\w=23.3[/tex]
Therefore,
Option C is the right answer.
We will see that the width of the rectangle is 23.3, so the correct option is C.
How to get the width if we know the length and the diagonal?
For a rectangle of length L and width W the diagonal length is given by:
D = √( W^2 + L^2)
Rewriting this for the width we get:
W = √(D^2 - L^2)
Here we know that:
D = 25 in
L = 9 in
Replacing that in the equation above we get:
W = √( (25 in)^2 - (9 in)^2 ) = 23.3
So the correct option is C.
If you want to learn more about rectangles you can read:
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The local farmers market has oranges on sale for 5 for 1.80
What is the cost of one orange ?
Answer:.36 cent
1Step-by-step explanation:1.80 divided by 5
Write the phrase as an expression.
5 less than 8.
An expression is (answer)
Answer:
The answer is 5 < 8
Step-by-step explanation:
The sign < means less than.
So you write it was 5 < 8 because 5 is lesser than 8.
Number 5 need answers please
Answer:
13
Step-by-step explanation:
when the signs are equal or same the result is positive
(-)*(-)= (+)
The last one is (4 -3) (-3 4)
Answer:
I say its (A) because -2 and 8 then - 2 are right across from each other and it like the only correct answer to me......if not srry.
The graph below represents the amount of water measured in a swimming pool as a function of time.?
As time increases, the amount of water in the pool increases.
As time decreases, the amount of water in the pool increases.
As time increases, the amount of water in the pool decreases.
As time decreases, the amount of water in the pool decreases.
Answer:
The graph shows that
As time increases, the amount of water in the pool also increases
WARM-UP Solutions
Solve the equations to find the number and type of solutions.
The equation 8 - 4x = 0 has
I real solution(s).
DO NE
Answer:
x = 2
Step-by-step explanation:
Rearrange terms
Subtract from both sides of the equation
Simplify
Divide both sides of the equation by the same term
Simplify
If you have like this again type it into a search engine it will answer
that's
where I got this
Is the set of ordered pairs presented in the arrow diagram a function?Explain.
Answer:
no
Step-by-step explanation:
a function cant have the same range
Answer:
Functions as Arrow Diagrams When the domain and codomain of a function are finite sets then one can represent the function by an arrow diagram. Remember that an arrow diagram represents a function if exactly one arrow must leave each element of the domain and point to one element in the codomain.
Step-by-step explanation:
Determine the slope of a line passing through (4, 2) and (-2, 1)
Answer:
m=1/6
Step-by-step explanation:
change in y over change in x
m=2-1/4-(-2)
m=1/6
Answer:
Equation of the line:
y = 0.16666666666667x + 1.3333333333333
or
y = 1/6x+ 4/3
When x=0, y = 1.3333333333333
When y=0, x = -8
Step-by-step explanation:
1. What is the length of base for this triangle?
2. What is the length of height for this triangle?
Answer:
base=5
height=3
Step-by-step explanation:
Simplify the expression (-7i)(-7i)
Answer:
-49
Step-by-step explanation:
I am taking it right now!
How many solutions does the system have?
x-2y = 6
3x - 6y = 18
Answer:
x=6+2y
Step-by-step explanation:
Mike Prepares 10 1/2 cups of limeade punch and stores it in the refrigerator. He drinks 2 3/4 cups of the limeade in the afternoon. How many cups of limeade punch remain?
Answer:
7 3/4
Step-by-step explanation:
10.5-2.75=7.75= 7 3/4
Which is the better deal? 20-minute spa for $45 or 60-minute spa for $138