Answer:
[tex]\displaystyle x \approx 6.7[/tex]
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] cosθ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
Angle θ = 78°
Adjacent Leg = x
Hypotenuse = 32
Step 2: Solve for x
Substitute in variables [cosine]: [tex]\displaystyle cos78^\circ = \frac{x}{32}[/tex][Multiplication Property of Equality] Multiply 32 on both sides: [tex]\displaystyle 32cos78^\circ = x[/tex]Rewrite: [tex]\displaystyle x = 32cos78^\circ[/tex]Evaluate: [tex]\displaystyle x = 6.65317[/tex]Round: [tex]\displaystyle x \approx 6.7[/tex]Kyle held a balloon 8ft off the ground above his head and Ava is standing 15 feet directly to g the right of Kyle how far is Ava from the balloon
Answer:
17
Step-by-step explanation:
Pythagorean theory baby! Okay so the Pythagorean theory is a² + b² = c² so lets draw a triangle and label our sides. So we know 8² + 15² = c² so I'm going to find the square root of all of our numbers. We get 64 + 225 = c² so then add 64 + 225 = 289 then I take the square root of 289 which equals 17 . This answer also makes sense because out hypotenuse should always be bigger then the legs.
I'm pretty sure thats right, Hope this helps.
Write the other side of this equation so that this equation is
true for ALL values of u.
6(u - 2)+2=
Answer:
6u - 10
Step-by-step explanation:
Given
6(u - 2) + 2 ← distribute parenthesis
= 6u - 12 + 2 ← collect like terms
= 6u - 10
$9000.00 decreased by 0.5% make sure to show your work
Answer: 8550
Step-by-step explanation:
9000(1-0.5)
9000(0.95)
8550
Some one please help me work out 1-2
. Visually compare the dot plot of heights of field hockey players to the dot plots for softball and basketball players. Shape: Center: Spread:
Answer:
Kindly check explanation
Step-by-step explanation:
Using visual comparison :
SHAPE :
Both plots are fairly left skewed as their peaks are more shifted to the right and tails to the left of the distribution.
The centre :
Both softball and basketball plots are centered around the median of the distribution. With softball having a centre (median value) of 5'4'' and basketball has a value of 5'8''.
Spread :
The softball plot spread from 4'9'' through 5'6''
While basketball spreads from 5'2'' through 6'0''
A number was subtracted from 15. After which, that result was multiplied by 5. This result was then divided by 5 for a result of 1. Given this information, what was the initial number?
Answer:
14
Step-by-step explanation:
15-14 = 1
1*5=5
5/1=1
please help 3/4x 2 1/7
Answer:
1 17/28 or 1.6071428571429 round: 1.61 in decimal form.
Answer please
20 points
Answer:
1. right 2. acute 3 acute 4. obtruseangle 5 right
Answer:
1. right 2. acute 3. acute 4. obtuse 5. right
Step-by-step explanation:
Given f(x) = 3x2 + kx + 19, and the remainder when
f(x) is divided by x + 3 is 37, then what is the value of k?
Answer:
[tex]f{x} = x + 3 = 0 \\ x = - 3 \\ f( - 3) = 3( - 3) {}^{2} + k( - 3) + 19 = 37 \\ f( - 3) = 27 - 3k + 19 = 37 \\ f( - 3) = 46 - 3k = 37 \\ f( - 3) = 46 - 37 = 3k \\ f( - 3) = 9 = 3k \\ f( - 3) = k = 3[/tex]
Deluxe limousine service charges $2 for the initial pickup of the passenger and then $1 per mile
The floor tiles In the Jackson family kitchen are squares that measure 8 and 3/4 to a side. Each grid Square in the drawing measures 1/4 in to a side which is the scale of the drawing.
Answer:
Step-by-step explanation:
The aware iz 1 in 35 in
The scale of drawing is 1 inch : 27 inch
What is scale factor?The scale factor is a measure for similar figures, who look the same but have different scales or measures. The scale factor states the scale by which a figure is bigger or smaller than the original figure.
Given that, the measurement of the tile = 27/4 inches
Side of the drawing = 1/4 inches
The scale of the drawing =
1/4 inch of drawing = 27/4 inch of tile
That means, 1 inch of the drawing = 27 inch of the tile
Therefore,
The scale of the drawing is 1 inch : 27 inch
Hence, option D is correct
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The complete question is ;
The floor tiles in the Jackson family’s kitchen are squares that measure 6
3 /4 inches to a side. Each grid square in the drawing measures 1 /4 inch to a side. Which is the scale of the drawing?
A. 1 : 8 3 /4
B. 1 : 10
C. 1 /4 : 27
D. 1 : 27 n
I need so much help with these could you help me?
Answer:
Step-by-step explanation:
In ΔBCA and ΔDCA,
BC ≅ CD Given
∠BCA ≅∠DCA Given
AC ≅ AC Reflexive property
ΔBCA ≅ ΔDCA S A S congruent
∵ BA ≅ AD CPCT {Corresponding part of congruent triangle}
A line with a slope of 5 passes through the point (0,0). What is its equation in slope-intercept form?
Answer:
y=5x or y=5x+0
Step-by-step explanation:
there is a slope of 5 and it has no setoff
How can I find the prime factorization of a number with an easy explanation?
Answer:
Step-by-step explanation:
Step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Step 2: Write the number as a product of prime numbers.
"Determine which three lengths cannot be the measure of the sides of a triangle. 2 m, 5 m, 6 m 8 m, 10 m, 17 m 5 m, 20 m, 22 m 4 m,15 m, 20 m"
Answer:
None.
All the four given measurements can form a triangle.
Step-by-step explanation:
Given;
first measurement, = 2m , 5m, 6m
second measurement, = 8m, 10m, 17m
third measurement, = 5m, 20m, 22m
fourth measurement, = 4m, 15m, 20m
For any of the three lengths to form a triangle, the sum of any two sides must be greater than the third side.
First measurement: 2m + 5m = 7m and 7m > 6m (can form a triangle)
Second measurement: 8m + 10m = 18m and 18m > 17m (can form a triangle)
Third measurement: 5m + 20m = 25m and 25m > 22m (can form a triangle)
Fourth measurement: 4m + 15m = 19m and 19m < 20m BUT
20 m + 15m = 35 m and 35 m > 4m (can form a triangle)
Therefore, all the four given measurements can form a triangle.
Find l.
10 in.
l
b = [?] in.
6 in.
Answer:
By applying Pythagoras theorem
Answer is √[109] inch
Help me please ASAP please
Answer:
2 x 4=
Step-by-step explanation:
2 x 4 and then no loops 6/8=0.75
Answer: 0.982
Heres why: Если вы мертвы задницу перевел это, чем я сожалею об этом. Это шутка, и, честно говоря, я не имею чертовски понятия, что ответ
Find the 7th term in the following sequence (n = 7)
f(n) = 5 + 8(n-1)
Also, for this question, state what a1 is (first term) and the common difference (a2 - a1).
Answer:
see explanation
Step-by-step explanation:
Substitute n = 7 into f(n)
f(7) = 5 + 8(7 - 1) = 5 + 8(6) = 5 + 48 = 53
f(n) = 5 + 8(n - 1) represents the nth term of an arithmetic sequence
f(n) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
By comparison, then
a₁ = 5 and common difference d = 8
can someone please help quick
Which statement accurately describes the scatterplot?
У
:.
.
A. There are two outliers.
B. There are three distinct clusters.
C. The points seem to be clustered around a line.
D. There are no outliers. .
The correct statement accurately describes the scatterplot is,
⇒ The points seem to be clustered around a line.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
A scatterplot is shown in figure.
Now, By given figure, We get;
When we draw the line of equation,
⇒ The points seem to be clustered around a line.
Hence, The correct statement accurately describes the scatterplot is,
⇒ The points seem to be clustered around a line.
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Measures of center and variation can be used to describe data sets. Choose ALL statements about these measures that are true.
The mean, or average is a measure of center
The range of data set is a measure of center
The median of a data set is a measure of variability.
Measures of variability describe how the values in a data set vary.
Measures of Center describe all values in a data set with a single number
Answer:
These are the answers:
A) The mean, or average, is a measure of center.
D) Measures of variability describe how the values in a data set vary.
E) Measures of center describe all values in a data set with a single number.
The mean, or average is a measure of center
Measures of variability describe how the values in a data set vary.
Measures of Center describe all values in a data set with a single number
What is Median?The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points
Arrange the data points from smallest to largest.
If the number of data points is odd, the median is the middle data point in the list.
If the number of data points is even, the median is the average of the two middle data points in the list.
Given data ,
The following statements about measures of center and variation are true:
The mean, or average, is a measure of center.
Measures of variability describe how the values in a data set vary.
Measures of center describe all values in a data set with a single number.
The statement "The range of data set is a measure of center" is false. The range is a measure of variability, not center.
The statement "The median of a data set is a measure of variability" is also false. The median is a measure of center, not variability
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A school ordered a trapezoidal activity table as shown in the figure. Find the area of the table. SHOW ALL
WORK!!!
60 mm
14 in
SOT
Answer:
A=630 in^2
Step-by-step explanation:
Triangles: there are two equal triangles so we can treat them as one rectangle
A = 15 * 14 = 210
Rectangle:
A=30 * 14 = 420
A_total = 210 + 420 = 630 in^2
can someone help ASAPPP PLEASE
(06.01)The probability that an event will occur is 95%. Which of these best describes the likelihood of the event occurring? Likely Certain Unlikely Impossible
Answer:
Likely
Step-by-step explanation:
The probability of occurrence of a certain event Given as 95% has a high probability figure and hence such event is LIKELY to occur. We cannot class this probability percentage as certain because, an event which is certain to occur who'll have a probability percentage of 100% or a value of 1. Therefore, a probability percentage of 95% occurrence still has 5% Chace of not happening, hence it is only very likely to occur. Hence, the phrase which best describes the probability of an event with 95% probability happening is LIKELY.
Find the value of x. X=
Answer: x=9
Step-by-step explanation:
24/36=6/x
24/36=2/3
2*3=6
3*3=9
Answer:
x= 12
Step-by-step explanation:
Express each quotient in the simplest form. A. B. C. D.
What is the answer? There is nothing people have said to help
Jaquol is making a recipe that uses 2 cups of sugar for every 3 cups of flour. If he uses a total of 40 cups of these ingredients, how many cups of sugar were
required?
Answer:
16 cups of sugar
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
So our ratio here is 2:3. Here's what we're gonna do:
2 + 3 = 5 for every time he makes the recipe
40 / 5 = 8
To double check:
2 x 8 = 16
3 x 8 = 24
16 + 24 = 40
In the diagram, x is a negative number and y is a positive number. Select the expression that is a positive.
Answer choices:
x(y)
x - y
y/x
y - x
Answer:
Option 4: y -x
Step-by-step explanation:
Option 1
Multiplying a positive and a negative number will result in a negative number.
For example, if x= -1 and y=5,
x(y)= -1(5)= -5 (a negative number)
Thus, option 1 is incorrect.
Option 2
In this option, we are essentially multiplying -1 to y, a positive number, before adding the result with x.
Since y is a positive number, -y is a negative number and hence x -y (when x is a negative number) will result in a negative number. Let's plug in values into x and y to check this.
For example, x= -2 and y=3.
x -y= -2 -3= -5
Option 2 is thus incorrect.
Option 3
Dividing a positive number with a negative number will result in a negative number.
For example: 6÷(-2)= -3
Option 3 is also incorrect.
Option 4
Subtracting a negative number from a positive number will result in a positive number.
For example: x= -1, y= 8
y -x= 8 -(-1)= 8 +1= 9
As seen from the example above, when the negative number is multiplied to negative 1, a positive sign results.
In summary, when a positive number is multiplied to a positive number, the resulting number is positive.
When a negative number is multiplied to a negative number, the resulting number is positive.
When a positive number is multiplied to a negative number, the resulting number is negative.
+(+)= +
-(-)= +
+(-)= -
This applies to division too.
Plz Help! Ill give brainliest to the first correct answer!
How many solutions does the system of equations below have?
y = -9x - 2
y = -9x - 2
A. No solution
B. One solution
C. Infinitely many solutions
12 more to go please help me
Step-by-step explanation:
Total number of people = 48 + 32 + 16
= 96
P(2 or more items) =
[tex] \frac{32}{96} \\ = \frac{1}{3} [/tex]