Answer:
x ≈ 27.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 70°
Opposite Leg = x
Adjacent Leg = 10
Step 2: Solve for x
Substitute in variables [tangent]: tan70° = x/10[Multiplication Property of Equality] Multiply 10 on both sides: 10tan70° = xRewrite: x = 10tan70°Evaluate: x = 27.4748Round: x ≈ 27.5What is the LCM of 7, 14, 28, 42
Answer:
84
Step-by-step explanation:
Answer:
84
Step-by-step explanation:
Prim factorize
7 = 7
14 = 7 * 2
28 = 7 * 2 * 2
42 = 7 * 2 * 3
LCM = 7 * 2* 2 * 3 = 84
Corinne is planning a beach vacation in July and is analyzing the daily high temperatures for her potential destination.She would like to choose a destination with a high median temperature and a small interquartile range.She constructed box plots shown in the diagram below.
Which destination has a median temperature above 80 degrees and the smallest interquartile range?
(1)Ocean Beach (2)Whispering Palms (3)Serene Shores (4)Pelican Beach
Answer:
4
Step-by-step explanation:
Pelican Beach has a median temperature above 80 degrees and the smallest interquartile range.
What is a box plot?'A boxplot is a standardized way of displaying the distribution of data based on a five number summary, minimum, first quartile, median, third quartile, and maximum. It can tell us about the outliers and what their values are.'
According to the given problem,
In the given box plots, Whispering Palms and Pelican Beach has a median temperature of above 80 degrees. The median is the middle-most line that divides the box plot into two parts. Their median is approximately 85 degrees.
The interquartile range is the difference between the end points of the box plot.
Pelican Beach has the smallest interquartile range since the difference between the end points is less than the interquartile range of Whispering Palms.
Hence, we can conclude, Pelican Beach ahs the median temperature above 80 degrees and the smallest interquartile range.
Learn more about box plot here: https://brainly.com/question/1523909
#SPJ2
Daniel goes out to lunch. The bill, before tax and tip, was $14.20. A sales tax of 8% was added on. Daniel tipped 24% on the amount after the sales tax was added. What was the total cost of the meal, plus tax and tip? Round to the nearest cent.
Answer: $19.02
Step-by-step explanation:
First find the sales tax paid. It will be paid on the cost of the meal:
= 14.20 * 8%
= $1.14
Then find the tip which was done after the sales tax was added:
= 24% * (14.20 + 1.14)
= 24% * 15.34
= $3.68
The total cost is:
= Gross amount + Sales tax + tip
= 14.20 + 1.14 + 3.68
= $19.02
State whether height is a function of weight for the six students and explain.
a.
Yes, height is a function of weight because two students weigh 165 pounds but have different heights.
b.
No, height is not a function of weight because two students weigh 165 pounds but have different heights.
c.
Yes, height is a function of weight because for each weight there is a corresponding height.
d.
No, height is not a function of weight because there is not enough data to determine a function.
Answer:
Correct answer is B) No, height is not a function of weight because 2 students weigh 165 pounds but have different heights.
helppppp please ? lol i’m trying to pass summer school
Answer:
B
Step-by-step explanation:
To find the inverse of a function just replace the x and y value
so for f(x) instead of y=√(x-2) it x=√(y-2) --- take this and now solve for y
x=√(y-2)
x²=y-2
x²+2=y
This matches h(x)
Answer: It really is B but I’m confused on your new question I’ll try :(
Step-by-step explanation:
If 52 cups of water were used in a Merry Berry Fruit Punch, how many cups of concentrate would also be used?
May I ask what the ratio is? *Comment it below this post and i'll help you!* <3
Asphere has a diameter of 20 ft What is its surface area?
The surface area of the sphere is?
Answer:
1256 ft²
Step-by-step explanation:
20 ÷ 2 = 10
4πr²
4 × 3.14 × 10²
4 × 3.14 × 100
4 × 314
1256
Kelsey is collecting milk from dairy farms that will be taken and made into cheese.
The distance from one farm to the next is 6 miles. What is the distance between
the two dairy farms on a map with a scale of 1 inch = 2 miles?
Answer:
22miles
Step-by-step explanation:
====================================
Explanation:
The problem states that 1 inch on paper corresponds to 2 miles in real life, hence the 1 inch = 2 miles.
Multiply both sides by 3 so we turn that "2 miles" into "6 miles"
1 inch = 2 miles
3*(1 inch) = 3*(2 miles)
3 inches = 6 miles
-------------
We could also solve like this
(1 inch)/(2 miles) = (x inches)/(6 miles)
1/2 = x/6
1*6 = 2*x ... cross multiply
6 = 2x
2x = 6
x = 6/2
x = 3
3 inches on paper correspond to 6 miles in real life.
Please help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B
Step-by-step explanation:
its hard to explain, but just trust me bro. lol.
please help i need helpppppp
Answer:
15.62
Step-by-step explanation:
[tex]a^{2} +b^2=c^2[/tex]
[tex]10^2+12^2=c^2[/tex]
[tex]100+144=c^2[/tex]
[tex]c^2=244[/tex]
[tex]\sqrt{244} =[/tex] 15.62
Answer:
first option
Step-by-step explanation:
using pythagoras theorem
a^2 + b^2 = c^2
x^2 + 10^2 = 12^2
x^2 + 100 = 144
x^2 = 144 - 100
x^2 = 44
x = [tex]\sqrt{44}[/tex]
x = 6.63
In circle O, AE and DC are chords and intersect at B. If arc AC is 36 degrees and arc DE is 20 degrees, what is the measure of angle ABC? (Type in numbers only)
Answer:
8degrees
Step-by-step explanation:
Since the angle at the vertex is half the difference of the angles at the arc, hence;
<B = 1/2(36 - 20)
<B = 1/2 (16)
<B = 8
Hence the measure of angle ABC is 8degrees
A 30 ft wire stretches from the top of a light pole diagonally to the ground. The light pole is 10 feet high. What is the angle the wire makes with the ground?
Answer:
The correct answere would be 19 degrees after solving for the length of the wire plus the diagnal of the ground.
Step-by-step explanation:
Type the number in standard form
5.8 x 10^-2
Answer:
0.058
Step-by-step explanation:
Math help please.m show work
Answer:
first box= 8
box to the right= 1
box on the right edge= 6
box in second row= 3
box in the middle to the very right= 7
bottom box= 9
I think
Answer:
Step-by-step explanation:
Start off on the bottom row and everything else just falls into place
not really much work to show
Conrad borrowed $5 400 for a second-hand ATV
If his loan was over the course of 3 years at 17.6% compounded quarterly, how much money will he have to repay to cover his loan?
Select one:
a. $9 129.76
O b. $8793.85
O C. $9 226,64
O d. $9053.15
e. $8 903.41
Answer:
The answer is D
help me plzzzzzzzzzz
Answer:
Slope = rise/run
Rise = 0
So zero divided by any run is 0.
B
Answer:
B
Step-by-step explanation:
slope or gradient = rise/run
rise=0 0/anything= 0
Line B has no graidient so it is considered as 0.
identify the domain of the function shown in the graph
¿Cuanto es el 15% de 9,000?
Answer:
10% = 900
5% = 450
15% = 1,350
Please brainliest
A part of Jennifer’s work is to solve the equation 2(6x^2-3)=11x^2-x is shown below
Answer:
Step-by-step explanation:
2(6x² - 3) = 11x² - x
2*6x² - 2*3 = 11x² - x
12x² - 6 = 11x² -x
Subtract 11x² from both sides
12x² - 11x² - 6 = -x
x² - 6 = -x
x² + x - 6= 0
Sum =1
Product = -6
Factors = 3 , (-2) { 3*(-2) = -6 & 3 +(-2) = 1}
x² + 3x - 2x - 6 = 0
x(x + 3) - 2(x + 3)= 0
(x +3)(x - 2) = 0
Assuming exponential function has a starting value of 360 and a decay rate of 73% write an equation to model the situation
Answer:
a = 360 * 0.27^n
Step-by-step explanation:
a = 360 * (1 - .073)^n
a = 360 * 0.27^n
Yuron is sketching a scale drawing of a famous painting. The painting is 54 inches wide and 72 inches long. He used a scale factor of Two-thirds to make his sketch. How many inches wide is Yuron’s sketch?
36
48
81
84
Answer:
36
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
edg 2023
y^2-81
answer this please asap
Answer:
(y+9)(y-9)
Step-by-step explanation:
From the information in the diagram can you prove FTG is congruent to FGE
Answer:
Yes, by AAA.
Step-by-step explanation:
The triangles share 3 pairs of congruent angles. Therefore, these triangles can be proven to be congruent by AAA congruence theorem.
Answer:
yes by ASA
Step-by-step explanation:
angle gdf equals angle edf
side DF is common to both
angle gfd equals angle efd
hence by ASA (short for angle side angle)
syd is on a cliff 43 feet above sea level ingrid dove into the sea and took photos of fish at 17 feet below sea level how far apart are syd and ingrid?
Answer:
60 ft
Step-by-step explanation:
Position of Syd = +43
Position of Ingrid = - 17
To find the distance between them, add the absolute value
I +43 I + I-17I = 43 + 17 = 60
Answer:
let's take the postion of sea level 0
such that
syds on a cliff 43 ft above sea level
his position = 43 ft
Ingrid is 17 feet below sea level so his position = 17 ft in the opposite direction as that of Syd.
since syd is 43 feet away from sea level, that is 0, and sea level is 17 feet away from Ingrid.
distance between syd and Ingrid = 43 + 17
= 60 ft
Pearl bought 45 lbs of clay for her art projects. She used 15.8 lbs to make a sculpture, and 0.72 lbs for each mug. How many mugs did Pearl make if she had 17.68 lbs of clay left over?
Answer:
16 mugs
Step-by-step explanation:
Total clay bought = 45 lbs
Clay used for sculpture = 15.8 lbs
Clay left over = 17.68 lbs
Clay used for each mug = 0.72 lbs
Number of mug = x
Total clay bought = Clay used for sculpture + Clay left over + (Clay used for each mug * Number of mug)
45 = 15.8 + 17.68 + (0.72 * x)
45 = 33.48 + 0.72x
45 - 33.48 = 0.72x
11.52 = 0.72x
x = 11.52/0.72
x = 16
Number of mug = x = 16 mugs
What is the equation of the line
Answer:
y = -7
Step-by-step explanation:
The line represents the y-coordinate, because it is a straight line over the x axis, indicating it cant be an x coordinate
Because it is 7 units below the x-axis, it is -7
y = -7
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find the slope from the two points given: (-4, 2) and (5, 6) *
Answer:
Slope = 4/9
Step-by-step explanation:
x1(-4,2)
x2(5,6)
Slope,
m = (y2-y1)/(x2-x1)
= (6-2)/(5--4)
=4/9
suppose a line has slope -2/3 and passes through the point (1, 8). which other point must also be on the graph
A (7, 4)
B (7, 12)
C (-5, 4)
D(-5, -12)
Answer:
A(7,4)
Step-by-step explanation:
-2/3 is the slope and the slope is the rise over the run, and we know it passes through the point (1,8).
Next, we can create a chart/table
X int-1+3=4, 4+3=7
Y int-8-2=6,6-2=4
1st point: (4,6)
2nd point: (7,4)
Hope I helped, have a nice day :)
Consider the given triangle. If a = 83 and b = 70, then the measure of ZB =
Answer:
If ZB is the 3rd angle, since a triangle has 180 degrees total just do 83+70+x=180 sooooo x=27
Step-by-step explanation:
In the diagram below, tan e = 3. What is the value of m?
Only the 3 is inside the square root.
=============================================================
Explanation:
Tangent is the ratio of opposite over adjacent.
We can express tan(theta) as y/x because of this. The point (1/2, m) shows that x = 1/2 and y = m.
So,
tan(theta) = y/x = m/(1/2) = 2m
If we're told that tan(theta) = sqrt(3), then we need to solve the equation below for m
2m = sqrt(3)
m = sqrt(3)/2
