Answer:
Adjacent = x = length = 6.46 inches
Step-by-step explanation:
Given the width and diagonal of a rectangular postcard,
Find the length using Pythagoras theorem
Hypotenuse ² = opposite ² + adjacent ²
Hypotenuse = 7.6 inches
Opposite = 4 inches
Adjacent = x
Hypotenuse ² = opposite ² + adjacent ²
7.6² = 4² + x²
57.76 = 16 + x²
subtract 16 from both sides
57.76 - 16 = x²
41.76 = x²
Find the square root of both sides
x = √ 41.76
= 6.46
x = 6.46 inches
Adjacent = x = length = 6.46 inches
Write an absolute value inequality to represent each situation.
Two friends are hiking in Death Valley National Park. Their elevation ranges
from 228 ft below sea level at Badwater to 690 ft above sea level at Zabriskie
Point. Let x represent their elevation in feet.
Answer:
║ x - 231 ║ ≤ 459
Step-by-step explanation:
Since we have 228 ft below sea level, this is x' = -228 ft. Also, we have 690 ft above sea level, this is x" = 690 ft.
Since x is our elevation in feet, x ranges from -228 ≤ x ≤ 690.
To write an absolute value equation for x, we first take the average of the two values for the ranges to obtain the ideal value of x.
So, ideal value = [690 + (-228)]/2 = 462/2 = 231.
We also find the tolerance by taking the difference of both values and dividing by 2. So tolerance = [690 - (-228)]/2 = [690 + 228)]/2 = 918/2 = 459.
Subtracting 231 from each value of the inequality we have
-228 - 231 ≤ x - 231 ≤ 690 - 231
-459 ≤ x - 231 ≤ 459
Since we have in magnitude the values on the left and right side of the inequality,
So ║ x - 231 ║ ≤ 459
What is the slope between (3,5) and (3,14)
Answer:
the slope between (3,5) and (3,14) is a positive slope
Step-by-step explanation:
Answer: The slope would be a positive slope.
Tommy is thinking about entering a contest at the local gas station. Some of Tommy's friends explained to him that the probability of winning the free tank of gas was 0.27. Tommy understands probabilities better when they are given in ratio form. (For example 1 out of every 6 will win. Give Tommy your estimate of 0.27 probability in ratio form
Answer:
[tex]\dfrac{27}{100}[/tex]
Step-by-step explanation:
The number [tex]0.27[/tex] can be attained by the following expression
[tex]0.27=\dfrac{k27}{k100}[/tex]
Where
[tex]k[/tex] = any positive positive integer.
Let us take the minimum ratio
[tex]0.27=\dfrac{1\times 27}{1\times 100}[/tex]
[tex]=\dfrac{27}{100}[/tex]
where [tex]k = 1[/tex]
So, the probability estimate in ratio form is [tex]\dfrac{27}{100}[/tex].
Write an inequality to equal y < -5
Answer:
2y - 3 < -13
Hope this helps
8% of $40 is $
plzzz help
Answer:
$3.2
Step-by-step explanation:
so there's a strategy to do this its very helpful!
100%-$40
8%-x
~cross multiply~
100x=320
÷100 ÷100
________________
x=$3.2
Hope this helps :D
Brianna bought a bicycle for $275.It is now on sale for $150. Find the percent of change of change in the price. Round to the nearest percent.
Answer:
45%
Step-by-step explanation:
First we find the difference between the prices,
[tex]275-150[/tex]
is 125
and
[tex]125/275=0.454545454545.....[/tex]
which in percentage is
[tex]45.4545454...[/tex]
and that rounds to 45%
Write an equation of the line that passes through a pair of points:
(-3,1). (-2,-5)
Answer:
[tex]y=-6x-17[/tex] (B)
Step-by-step explanation:
[tex]y=mx+b\\m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{1--5}{-3--2} = \frac{6}{-1} = -6\\y=-6x+b\\[/tex]
Plug in one of the two points for X and Y
(-3,1)
[tex]1=-6(-3)+b\\1=18+b\\b=-17\\\\y=-6x-17[/tex]
are 35:40 and 21:24 equivalent?
Answer:
yes
Step-by-step explanation:
35:40=0.875
21:24=0.875
Answer:
No
Step-by-step explanation:
35 divided by 40 is 0.875 and 21 divided by 24 are 0.875. These are the same answer ( 0.875 = 0.875) so they are equivelent. Hope this helped! If it did, please mark me as brainliest! Thanks!
PLZ ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: C
Step-by-step explanation: it is stretched out more.
Answer:
C
Step-by-step explanation:
C Is An Oval Not A Circle, Therefore it is different
How many 2.25-pound containers can you fill with 24.75 pounds of almonds?
Answer:
You can fill 11 containers.
Step-by-step explanation:
This problem is asking you to divide 24.75 pounds among 2.25 pound holding containers.
So all you must do is divide 2.25 by 24.75. This leaves us with a quotient of 11.
Leo took an Uber to get to football practice. Uber charged $1.25 per mile (m) and he gave the driver a $5.00 tip. If the total trip was $16.25, how many miles did he travel to football practice?
Answer:
9milesStep-by-step explanation:
Step one:
given data
we are told that the uber charges $1.25 per mile
and that Leo also gave a tip of $5
the function for the total charge is given as
y=mx+c
Step two:
we will use the notation m for the number of miles traveled
given that the total trip is $16.25
16.25=1.25m+5
solving for m we have
16.25-5=1.25m
11.25=1.25m
divide both sides by 1.25
m=11.25/1.25
m=9
So he travelled 9miles
The Advanced Drama Club is selling tickets for Annie. Pre-registered tickets cost $6 and tickets at the door cost $8.50. The total number of tickets sold was 355. The total amount received was $2,580. Write a system to determine how many of each type of ticket was sold. Use p for pre-registerd and d for tickets purchased at the door. Solution: (pre-registered tickets, door tickets)
6/8.50=2 we get 35 ticket did help
i don't understand the problem or how to solve it please brake I down
Step-by-step explanation:
jm sorry, I've never done anything like this in math.
Sally spins a fair spinner numbered 1 - 6 and flips a fair coin. What is the probability of obtaining a multiple of 3 and a tail?
Question 1
Which of the following statements is NOT true?
Answer:
the bottom one
Step-by-step explanation:
They are both the same ab and bc but im not entirely sure
Because AB, AC, and BC describe the same line, we conclude that the last option is the false one.
Which of the statements is not true?On the graph, we can see a line that contains points A, B, and C.
Now we want to see which statement is false.
Now, because A, B, and C are on the same line, is trivial that:
AB, AC, and BC (these 3 lines) have the same slope, because these are 3 different names for the exact same line.
Then we can conclude that the incorrect statement is the last one.
If you want to learn more about lines:
https://brainly.com/question/14323743
#SPJ2
sandra colored 1/3 of her picture black, as shown. what percent of her picture did she color white
Write the sentence as an inequality.
A number x is greater than 3
The inequality is
Answer:
X > 3
Step-by-step explanation:
The sentence as an inequality will be x > 3.
It is given that a number x is greater than 3.
We have to represent the sentence as an inequality.
What do you mean by inequalities ?
Inequalities are the expressions in which both sides are not equal and the equal sign in between is replaced by less than , greater than, etc.
As per the question ;
A number x is greater than 3.
So ,
Number is x.
and
It is greater than 3
i.e.,
we need to use a sign of greater than to represent the inequality i.e., > sign.
So ,
The sentence as an inequality can be written as ;
x > 3.
Thus , the sentence as an inequality will be x > 3.
To learn more about inequalities click here ;
https://brainly.com/question/27990392
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Given: ΔDFE is isosceles with base FE; FB ≅ EC. Prove: ΔDFB ≅ ΔDEC Triangle D F E is shown. 2 lines drawn down from point D to points C and B on the base of the triangle to form 3 triangles. Complete the missing parts of the paragraph proof. We know that triangle DFE is isosceles with base FE and that segment FB is congruent to segment EC because . Segment DF is congruent to segment by the definition of isosceles triangle. Since these segments are congruent, the base angles, angles , are congruent by the isosceles triangle theorem. Therefore, triangles are congruent by SAS.
answer picture answer picture
Answer:
1. it is given
2. DE
3. DFE and DEF
4. DFB and DEC
True or False: |18 - 7| = |18|+ |-7|
Answer:
False.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
|Absolute Value| - makes any number positiveStep-by-step explanation:
Step 1: Define
|18 - 7| = |18| + |-7|
Step 2: Check
Subtract: |11| = |18| + |-7|Evaluate: 11 = 18 + 7Add: 11 ≠ 25Here we see that 11 does not equal 25.
∴ The statement is false.
Answer:
false
Step-by-step explanation:
because th abosulte value of negative 7 is positive 7 then the equation would not be equal
Karen plans to put new carpet on the floor of a rectangular room. The dimensions of the room are 24 feet by 15 feet. Carpet is sold by square yards. What is the area, in square yards, of Karen’s room?
Answer:
the answer would be 120 square yards
Step-by-step explanation:
you multiply the 15 and 24 then after that you divide the out come by 3 because a square yard is 3 by 3
Please answer as soon as possible! Thanks
Transformation Questions)
Answer:
A = 1,1 ; 2,3 ; 5,3 ; 4,1 B = 1,-1 ; 2,-3 ; 5,-3 ; 4,-1
[tex]4x -3 = 11x[/tex]
Answer:
[tex]x=-\frac{3}{7}[/tex]
Step-by-step explanation:
[tex]4x-3=11x\\\\4x-3+3=11x+3\\\\4x=11x+3\\\\4x-11x=11x-11x+3\\\\-7x=3\\\\\frac{-7x=3}{-7}\\\\\boxed{x=-\frac{3}{7}}[/tex]
Hope this helps.
Why is it impossible to represent a vertical line using the slope-intercept form and the point-slope form of a linear equation?
Answer:
Both equations include the slope, which is undefined for a vertical line.
Step-by-step explanation:
it just is lol
Which function could this graph represent?
A) an even-degree function with two relative extrema
B) an odd-degree with three relative extrema
C) an even-degree function with three relative extrema
D) an odd-degree with two relative extrema
Answer:
Option (A)
Step-by-step explanation:
From the graph attached,
Right and left ends of the graph are moving downwards.
Ends moving upwards or downwards (In the same side of x-axis) tells the graph to be an even function.
There are two maximum points (points having maximum y-values)represent the two relative extrema of the function.
Therefore, Option (A) will be the correct option.
what is the slope of the line, (-6, -8) and (2, 8)?
Answer:
Your slope would be 2.
Step-by-step explanation:
To find the slope, you would need to use the formula: y2-y1/x2-x1
In this case, the equation would be 8-(-8)/2-(-6)
8 - (-8) = 16
2 - (-6) = 8
16/8 = 2
Slope: 2
Need this answer ASAP cuz im dumb.
Mr. Scott likes to pose interesting problems to his Mathematics classes. Today,
he started with the expression 6
2020 + 72020. He stated that the expression was
not equivalent to 132020 and that he was not interested in the actual sum. His
question to his class and to you is, “What are the final two digits of the sum?”
Answer:
40. This is so easy yet so dumb. Why is this even a question?
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
a team of divers assembles at an elevation of -10 ft relative to the surface of the water. Then the team dives at a rate of the water. Then the team dives at a rate of -50ft/min. Write a rule that represents the teams depth d as a function of time t. What is the team's depth after 3 minutes?
Answer: The team will be 160 feet below sea level after 3 minutes.
Step-by-step explanation:
If the team is at -10 ft relative to sea level then it means that they are 10 feet below sea level, and if they also going -50 ft per minute, it also means that they are still going below sea level.
The rule will be, d= -50t -10
If t is the time, input 3 minutes into the equation for t and solve for d to find their depth.
d= -50(3) - 10
d= -150 - 10
d= -160
If Dominik completes a project by himself, it will take him 8 hours. Working with Katarina, it will take them 5 hours. If they work together, what is the missing value from the table that represents the part of the project Dominik will complete? 8r 8(5) r (5)
Hello soldier!! The answer is D! Have a great day <3
Answer:
The answer is: D / 1/8(5)
Step-by-step explanation:
Which equation represents the graph shown below
A) y=2x+3
B) y=3x+2
C) y=2/3x+b
D) y=5x
Answer:
A Y=2X +3
Step-by-step explanation:
Y=mx +b
y=2x + 3
slope is 2
y intercept is 3
Under the answer choice D, it says The rectangles are similar
The correct answer is option D.