Answer: Hi!
Alll of the follow are true except option 4, which states the absolute value of -93 is -93. This is not true! Absolute value will always be positive.
Hope this helps!
All of the given statements are true except |-93|=-93.
We need to identify the false statement from the given options.
What is an absolute value?The absolute value of a number is defined as its magnitude irrespective of the sign of the number. To find the absolute value of a real number, we consider only the number and remove the sign. It can only be a non-negative value. The absolute value of a positive number is the number itself, that of a negative number is the number without a negative sign, and the absolute value of 0 is 0.
From option (A):
|93|=93 is true.\
From option (B):
-|93|=-93 is true
From option (C):
|-93|=93 is true
From option (D):
|-93|=-93 is false
Therefore, all of the given statements are true except |-93|=-93.
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Events A and B are mutually exclusive. Find the missing probability.
P(A) = 1/4 P(B) = 13/20 P(A or B) = ?
4/5
1/2
9/10
3/8
Answer:
Option C.
Step-by-step explanation:
It is given that,
[tex]P(A)=\dfrac{1}{4}[/tex]
[tex]P(B)=\dfrac{13}{20}[/tex]
It is given that events A and B are mutually exclusive. It means they have no common elements.
[tex]P(A\cap B)=0[/tex]
We know that,
[tex]P(A\ or\ B)=P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]
On substituting the values, we get
[tex]P(A\cup B)=\dfrac{1}{4}+\dfrac{13}{20}-0[/tex]
[tex]P(A\cup B)=\dfrac{5+13}{20}[/tex]
[tex]P(A\cup B)=\dfrac{18}{20}[/tex]
[tex]P(A\cup B)=\dfrac{9}{10}[/tex]
Therefore, the correct option is C.
The P (A or B) should be [tex]\frac{9}{10}[/tex]
Given that,
P(A) = 1 by 4 P(B) = 13 by 20Based on the above information, the calculation is as follows:
[tex]= \frac{1}{4} + \frac{13}{20}\\\\= \frac{5+13}{20} \\\\= \frac{18}{20}\\\\= \frac{9}{10}[/tex]
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Microsoft Excel might be useful when establishing relationships involving vertex-edge graphs.
O True
False
Answer:
True
Step-by-step explanation:
Microsoft Excel is a great tool and has saved me on countless occasions in graphs and tables. I agree with the earlier answer by Hedland.
What does the law of cosines reduce to when dealing with a right angle
Answer:
It is reduced to the equation of the Theorem of Pythagoras.
Step-by-step explanation:
Any triangle can be modelled by this formula under the Law of Cosine:
[tex]b = \sqrt{a^{2}+c^{2}-2\cdot a\cdot c\cdot \cos B}[/tex]
Where:
[tex]a[/tex], [tex]b[/tex], [tex]c[/tex] - Side lengths, dimensionless.
[tex]B[/tex] - Angle opposed to the side [tex]b[/tex], measured in sexagesimal degrees.
Now, let suppose that angle B is a right angle (90º), so that b is a hypotenuse and a and c are legs. Hence:
[tex]\cos B = 0[/tex]
And the equation is reduced to the form of the Theorem of Pythagoras, that is to say:
[tex]b = \sqrt{a^{2}+c^{2}}[/tex]
PLS SOMEONE HELP ME ON THIS QUESTION!!!!! I WILL GIVE BRAINLIEST TO THE BEST ANSWER!!!!
Answer:
C.
Step-by-step explanation:
When you replace x by x - h, the graph is shifted h units horizontally.
Here, x is replaced by x - 6.
x - h = x - 6
h = 6
6 is positive, so the shift is 6 units to the right.
Answer: C.
Q.An observer 1.7m tall is 20sqrt(3)m away from a tower.The angle of elevation from the eye of observer to the top of the tower is 30 Find the height of the tower
plz Answer me
Answer:
21.7 m
Step-by-step explanation:
The question above is a right angle triangle and we would be using the trigonometric function of tangent to solve for it.
tan θ = Opposite/ Adjacent
Opposite side = Height = unknown
Adjacent = 20sqrt(3) m
θ = Angle of Elevation = 30°
Hence, we have:
tan 30° = Opposite/ 20√3
Opposite = tan 30° × 20√3m
Opposite = 20m
Height of the tower = Height of the observer + Height (Opposite side)
Height = 20m
Height of the the observer as given in the question is = 1.7m
Height of the tower = 20m + 1.7m
= 21.7m
Therefore, the height of the tower = 21.7m
Calculate JK if LJ = 14, JM = 48, and LM = 50
Answer:
JK = 6.86
Step-by-step explanation:
The parameters given are;
LJ = 14
JM = 48
LM = 50
[tex]tan(\angle JML )= \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length} = \dfrac{LK}{JM} = \dfrac{14}{48} = \dfrac{7}{24}[/tex]
[tex]tan \left( \dfrac{7}{24} \right)= 16.26 ^{\circ }[/tex]
∠JML = 16.26°
Given that ∠JML is bisected by KM, we apply the angle bisector theorem which states that a ray that bisects an interior angle of a triangle bisects the opposite (bisected angle facing side) in the proportion of the ration of the other two sides of the triangle.
From the angle bisector theorem, we have;
LM/JM = LK/JK
50/48 = LK/JK................(1)
LK + KJ = 14.....................(2)
From equation (1), we have;
LK = 25/24×JK
25/24×KJ + JK = 14
JK×(25/24 + 1) = 14
JK × 49/24 = 14
JK = 14×24/49 = 48/7. = 6.86.
JK = 6.86
If P = (3,4), Find: Rx=1 (P)
Answer:
-1, 4
Step-by-step explanation:
Answer:
Step-by-step explanation:
answer is (-1,4)
What is the 6th row of Pascal's triangle?
Answer:
1, 6, 15, 20, 15, 6, 1
Simplify the following expression.
Answer:
3x+11y-3
Step-by-step explanation:
Hey! So here is what you do to solve the problem-
Combine like terms:
(x) 5x-2x=3x
(y) 3y+8y=11y
(#) 7-10 =-3
So....
3x+11y-3 is your answer!
Hope this helps!:)
If ∠A and ∠B are vertical angles, what is true about their measures?
Answer:
they are equal due to the vertical angles theorem
vertical angles theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent
Answer:
They are equal
Step-by-step explanation:
I just had it on a exam and can I have brainliest Im trying to level up
* Graph these numbers on a number line.
-5,3, -2,1
-5
-5,3,-2,1 on a number line
<-|----|----|----|----|----|----|----|----|->
-5 -2 0 1 3
What is the value of x in the equation 3x-4y=65, when y=4?
x=13 1/4
x=21 2/3
x =23
x = 27
Hello there! :)
Answer:
[tex]\huge\boxed{x = 27}[/tex]
Given the equation:
3x - 4y = 65 where y = 4
Substitute in 4 for "y":
3x - 4(4) = 65
Simplify:
3x - 16 = 65
Add 16 to both sides:
3x - 16 + 16 = 65 + 16
3x = 81
Divide both sides by 3:
3x/3 = 81/3
x = 27.
What is the equation, in point-slope form, of the line
that is parallel to the given line and passes through the
point (-3, 1)?
y-1=- Ž(x+3)
y-1=-{(x + 3)
y-1= {(x+3)
y-1= {(x+3)
Answer: [tex](y-1)=\dfrac{3}{2}(x+3)[/tex]
Step-by-step explanation:
Slope of the given line passing through (-2,-4) and (2,2) :
m= [tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]=\dfrac{2-(-4)}{2-(-2)}\\\\=\dfrac{2+4}{2+2}=\dfrac{6}{4}\\\\=\dfrac{3}{2}[/tex]
Parallel lines has same slope . That means slope of required line would be [tex]\dfrac{3}{2}[/tex].
Equation of a line passing through (a,b) and has slope 'm' is given by :_
[tex](y-b)=m(x-a)[/tex]
Now, Equation of a line passing through(-3, 1) and has slope '[tex]\dfrac{3}{2}[/tex]' is given by
[tex](y-1)=\dfrac{3}{2}(x-(-3))\\\\\Rightarrow\ (y-1)=\dfrac{3}{2}(x+3)\ \ \to \text{Required equation in point slope form.}[/tex]
(x+3)(x-5)=(x+3)(x−5)=
Answer:
All real numbers are solutions. 0=0
Step-by-step explanation:
(x+3)(x−5)=(x+3)(x−5)
Step 1: Simplify both sides of the equation.
x2−2x−15=x2−2x−15
Step 2: Subtract x^2 from both sides.
x2−2x−15−x2=x2−2x−15−x2
−2x−15=−2x−15
Step 3: Add 2x to both sides.
−2x−15+2x=−2x−15+2x
−15=−15
Step 4: Add 15 to both sides.
−15+15=−15+15
0=0
All real numbers are solutions.
For a ,a relationship to be a function, which values cannot repeat: the x-
values or the y-values? *
Answer:
The x - valuesThe y-values repeat in various functions (for example: quadratic function: y=x²; y=4 for x=2 and for x=-2)
Solving Inequalities and graphing them.
Answer:
I used to know this not anymore sry g
Consider the equation x2+4x+9=0 in standard form. Which equation shows the coefficients a, b, and c correctly substituted into the quadratic formula? Please show all steps to get to the answer, please!!
Answer:
x = -2+i√5 and -2i-√5Step-by-step explanation:
The general form of a quadratic equation is ax²+bx+c = 0
Given the quadratic equation x²+4x+9=0 in its standard form, on comparing with the general equation we can get the value of the constant a, b and c as shown;
ax² = x²
a = 1
bx = 4x
b = 4
c = 9
The quadratic formula is given as x = -b±√(b²-4ac)/2a
Substituting the constant;
x = -4±√(4²-4(1)(9))/2(1)
x = -4 ±√(16-36)/2
x = -4±√-20/2
x = -4±(√-1*√20)/2
Note that √-1 = i
x = -4±(i√4*5)/2
x = (-4±i2√5)/2
x = -4/2±i2√5/2
x = -2±i√5
The solution to the quadratic equation are -2+i√5 and -2i-√5
what seven divided by 4
Answer:
7 divided by 4 is 1 ¾ as a fraction, or 1.75 as a decimal.
Step-by-step explanation:
Pls mark as brainliest answer
The calculated division of the numbers seven divided by 4 is 1 3/4
How to calculate the division of the numbersFrom the question, we have the following parameters that can be used in our computation:
seven divided by 4
When represented as an equation, we have
seven divided by 4 = 7/4
Divide 7 by 4
So, we have the following result
seven divided by 4 = 1 3/4
Using the above as a guide, we have the following:
the result is 1 3/4
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Describe how to solve an absolute value equation
*will give brainliest*
Answer:
Step 1: Isolate the absolute value expression.
Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.
Step 3: Solve for the unknown in both equations.
Step 4: Check your answer analytically or graphically.
Step-by-step explanation:
Answer:
Rewrite the absolute value equation as two separate equations, one positive and the other negative
Solve each equation separately
After solving, substitute your answers back into original equation to verify that you solutions are valid
Write out the final solution or graph it as needed
Step-by-step explanation:
Find the value of x. Round to the nearest tenth.
15.9
12.4
12.8
16.3
Answer:
x = 15.9
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 28 = 14/x
x cos 28 = 14
x = 14 / cos 28
x=15.85598
Rounding to the nearest tenth
x = 15.9
Find the volume of a pyramid with a square base, where the side length of the base is 17 in 17 in and the height of the pyramid is 9 in 9 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
The volume of the pyramid is 867 inch^3
Step-by-step explanation:
Here in this question, we are interested in calculating the volume of a square based pyramid.
Mathematically, we can use the formula below to calculate the volume V of a square based pyramid.
V = a^2h/3
where a represents the length of the side of the square and h is the height of the pyramid
From the question, the length of the side of the square is 17 in while the height is 9 in
Plugging these values, we have ;
V = (17^2 * 9)/3 = 17^2 * 3 = 867 cubic inch
ASAP PLEASE GIVE CORRECT ANSWER
In a rectangular coordinate system, what is the number of units in the distance from the origin to the point $(-15, 8)$? Enter your answer
distance of a point [tex](x,y)[/tex] from origin is $\sqrt{x^2+y^2}$
so distance is $\sqrt{(-15)^2+(8)^2}=\sqrt{225+64}=\sqrt{289}=17$
Answer:
Distance=17 units
Step-by-step explanation:
Coordinates of the origin: (0, 0)
Coordinates of the point in question: (-15, 8)
Distance formula for any two points [tex](x_1,y_1), (x_2,y_2)[/tex] on the plane:
[tex]distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\distance=\sqrt{(-15-0)^2+(8-0)^2}\\distance=\sqrt{(15)^2+(8)^2}\\distance=\sqrt{225+64} \\distance=\sqrt{289} \\distance=17[/tex]
Area of a trapeziod with a top base length of 6 cm a bottom base length of 12 cm and a height of 5 cm
Answer:
A=45cm^2
Step-by-step explanation:
A= h/2(b1 + b2) for trapezoid
A=(5/2(6+12))cm^2
A=(2.5(18))cm^2
A=45cm^2
I REALLY NEED HELP PLEASE HELP ME :(
Answer:
I may be wrong but I think 8 is your answer.
Step-by-step explanation:
(-1)^(3/7) x 128^(3/7)
-1 x 128^3/7
128^(3/7) = 8
= 8
what is the angle taken in anticlockwise direction between (1) North-east and south- west
Answer:
Step-by-step explanation:
North-east has a bearing of 45 degrees
South-west has a bearing of 225 degrees.
Taken anticlockwise,
angle = south-west - north-east
= (225-45)
= 180 degrees
answer
hope this helps....
10 points to the person who answers this question.
Answer:
your answer is
2 X l+b
2 X 6x + 3x
8x + 10...
Rose likes to water ski using her sister's boat. The boat takes 3 gallons of gas each hour to run. Gas costs $5 per gallon, how much money will she spend on gas to ski for 4 hours?
Answer:
$60
Step-by-step explanation:
Answer:
60$
Step-by-step explanation:
3 gallons per hr
multiply by 4
12gl per 4hrs
5 dl per gl
multiply by 12
60 dl per 12 gl
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
(10 PTS) How do I solve for this? Please show work
Answer:
4
Step-by-step explanation:
8 ^ 2/3
Rewriting 8 as 2^3
( 2^3) ^ 2/3
We know that a^ b^c = a^ (b*c)
2 ^ ( 3 * 2/3)
2 ^ 2
4
Two trees are leaning on each other in the forest. One tree is 19 feet long and makes a 32° angle with the ground. The second tree is 16 feet long. What is the approximate angle, x, that the second tree makes with the ground? A 0.6° B 35.0° C 39.0° D 58.0°
Answer:
C 39.0
Step-by-step explanation:
To find the approximate angle, x, that the second tree makes with the ground, we can use the concept of similar triangles Therefore the correct option is B.
Let's calculate the height of the first tree using the given information. We can use the formula for the opposite side in a right triangle: opposite = adjacent * tan(angle). Therefore, the height of the first tree is approximately [tex]19 * tan(32°) = 19 * 0.6249 ≈ 11.873[/tex] feet. Now, we can set up a proportion between the two trees based on their heights. Let x be the angle the second tree makes with the ground.
We have the following proportion: (height of first tree)/(height of second tree) = (length of first tree)/(length of second tree). Substituting the known values, we have [tex]11.873/16 = 19/x[/tex]. Cross-multiplying gives us [tex]11.873x = 304,[/tex] and dividing both sides by 11.873 yields[tex]x ≈ 25.63°.[/tex] The approximate angle, x, that the second tree makes with the ground is closest to 35.0°.
Hence the correct option is B
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What are the dimensions of the matrix?
The order of a matrix is m×n where m is the number of rows and n is the number of columns.
can you count and find what are m and n here?
Answer:
Step-by-step explanation:
Number of rows X Number of columns
Rows = 3
Columns = 2
answer = 3x2
