Answer:
The answer is option B2.1Step-by-step explanation:
To find the length of a we use the cosine rule
That's
a² = b² + c² - 2bc cos A
We have
a² = AB ² + AC ² - 2(AB)(AC) cos A
From the question
AB = 6
AC = 5
A = 20°
Substituting the values into the above formula we have
a² = 6² + 5² - 2(6)(5) cos 20
a² = 36 + 25 - 60cos 20
a² = 61 - 56.38
a² = 4.62
Find square root of both sides
a = √4.62
We have the final answer as
a = 2.1Hope this helps you
Which expression is equivalent to (–2)(a + 6)?
A. –2a + 6
B. 2a + 12
C. –2a – 12
D. –2a + 12
The answer is option c.
I NEED IN THE NEXT 10 MIN PLS. GRAPH ATTACHED WILL GIVE BRAINLIEST Use the given graph to determine the limit, if it exists. A coordinate graph is shown with a horizontal line crossing the y axis at five that ends at the open point 2, 5, a closed point at 2, 1, and another horizontal line starting at the open point 2, negative 3 and continues to the right. Find limit as x approaches two from the left of f of x. and limit as x approaches two from the right of f of x..
Answer:
Step-by-step explanation:
You gave very clear instructions on how to draw this graph, so that's what I did. What you need to remember in particular with limits is that you do not care in the least what happens AT the x value of 2, only what happens as it is being approached. Because we are asked the limit as x is approaching from the left and the right, this is a one-sided limit question. In order for the limit to exist as x approaches 2 (NOT from the left or the right), the limit would have to agree from the left and the right, and this one doesn't. Having said that there is "a horizontal line crossing the y-axis at 5 that ends at the open point (2, 5)..." is a limit approaching x from the left. Therefore,
[tex]\lim_{x \to 2^-} f(x)=5[/tex]
Having also said there is "...another horizontal line starting at the open point (2, -3) and continues to the right..." is a limit approaching x from the right. Therefore,
[tex]\lim_{x \to 2^+} f(x)= -3[/tex]
The closed point at (2, 1) is where x IS, and remember that we don't care about what happens AT x. So disregard this point in limits.
What is the value of z for the equation fraction 1 over 2z = −fraction 3 over 4 + fraction 1 over 4z? −3 −1 1 3
Answer:
z= -3
Step-by-step explanation:
Given:
1/2z =-3/4 + 1/4z
Collect like terms
1/2z - 1/4z = -3/4
Add 1/2z - 1/4z
2z-z / 4 = -3/4
We have
z/4=-3/4
Same as
z(1/4) = -3/4
Divide both sides by 1/4
z(1/4) ÷ 1/4 = -3/4÷1/4
z(1/4) × 4/1= -3/4 × 4/1
z(4/4) = -12/4
z= -3
The value of z= -3
Answer:
-3
Step-by-step explanation:
I got it right on the test
Evaluate -3.28 - (-4.4) + (-p) where p = 9.7
Answer:
-8.58
Step-by-step explanation:
p = 9.7
=> -3.28 - (-4.4) + (-p)
=> -3.28 - (-4.4) + (- (9.7))
=> -3.28 - (-4.4) + (-9.7)
=> -3.28 - (-4.4) -9.7
=> -3.28 +4.4 -9.7
=> -12.98 +4.4
=> -8.58
Answer:
The evaluated answer for this equation is -8.58
Step-by-step explanation:
We are given a value of p so we will use this value for the equation.
-3.28 - (-4.4) + (-p)
Replace p with 9.7
-3.28 - (-4.4) + (-9.7)
Since there is a double negative in front of 4.4, then that means that we are going to be adding -3.28 to 4.4
1.12 + (-9.7)
Subtract 1.42 from 9.7 because there is negative sign in front of 9.7
-8.58
Shireen starts from 100 and writes a series of numbers in which EACH NUMBER IS 4 MORE THAN THE NUMBER AFTER IT. Shireen's series will be A.100, 104, 108, 112, B.100, 104, 100, 104, C.100, 96, 92, 88, D.100, 400, 800, 1200,
Answer:C. 100, 96, 94, 90.
Step-by-step explanation:
If shireen starts at 100, and if the number is 4 more than the number after it. You must subtract 4 to the previous number to get the next number.
So= 100-4= 96
= 96-4= 94
=94-4 = 90
ANSWER IS= 100, 96, 94, 90, etc....
I hope this helps!
There are a total of two hundred students and chaperones going on a
field trip. Each bus can hold 60 passengers. How many buses will be
used for the field trip? Explain why your answer is reasonable.
Answer:
4 bus is required for field trip to carry 200 passengers.
Step-by-step explanation:
Total no . of passengers = 200
let the be x bus required to carry 200 passengers
capacity of 1 bus = 60 passengers
capacity of x bus = 60*x passengers = 60x passengers
Thus,
60x = 200
x = 200/60 = 3 2/3
thus, 3.66 bus is required , but no. of bus cannot be in fraction hence we take integral value greater than 3.66 which is 4
Thus, 4 bus is required for field trip to carry 200 passenger.
Marta esta poniendo sus libros en una estantería. Le faltan 7 libros para poder poner 12 en cada estante; sin embargo, si pone 10 libros en cada estante, se quedan 5 libros sin poner. ¿Cuantos es antes tiene la estantería?
Answer:
x = 6 la cantidad de estantes
y = 65 cantidad de libros
Step-by-step explanation:
LLamemos "x" la cantidad de estantes que tiene Marta, y llamaremos "y" la cantidad de libros.
La primera condición que se debe cumplir es que cuando Marta coloca 12 libros en cada estante entonces le faltan 7, esto lo expresamos así:
y + 7 = 12*x (1)
La segunda condición establece que si Marta coloca los libros en número de 10 por estante le quedan 5 sin colocar, luego esto en lenguaje matemático se expresa así:
y - 5 = 10*x (2)
Ahora hemos obtenido un sistema de dos ecuaciones con dos incógnitas que se resuelve por cualquiera de los métodos conocidos, usaremos el método de sustitución.
Despejamos y en la primera ecuación y lo sustituimos en la segunda, de esa forma obtendremos el valor de x
y = 12*x - 7
(12*x - 7 ) - 5 = 10*x
2*x -12 = 0
2*x = 12
x = 6 la cantidad de estantes, y
y = 12*x -7
y = 72 - 7
y = 65 cantidad de libros
2. Which of the following number is divisible by 6?
O. A. 672
O B. 813
O C. 7312
O D. 1234
Answer:
A - 672
Step-by-step explanation:
Any number divisible by both 3 and 2 is divisible by 6.
1. Which expression is equivalent to (-2)(a + 6)?
Answer:
please mark my answer brainliest
Step-by-step explanation:
- 2a -12
PLEASE ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!The technology stock has risen to $9.80 today. Yesterday's price was $9.67. Find the percentage increase
Answer:
1.34%
Step-by-step explanation:
First of all subtract the 2 values
9.84−9.71=0.13
use this value and find the percentage from the original price which was 9.71
0.13
------- ⋅100
9.71
percentage increase is
1.34%
please help me you will recieve 5 stars IF RIGHT ANSWER !
Answer:
[tex]\huge\boxed{\frac{7}{8}}[/tex]
Step-by-step explanation:
[tex](\frac{49 }{64})^{1/2}[/tex]
=> [tex](\frac{7^2}{8^2} )^{1/2}[/tex]
=> [tex]\frac{7^{2*1/2}}{8^{2*1/2}}[/tex]
=> [tex]\frac{7}{8}[/tex]
Answer:
Below
Step-by-step explanation:
You should now that:
● (m/n)^(1/2) = √(m/n)
So:
● (49/64)^(1/2) = √(m/n)
You shoukd now also that:
● √(m/n) = √m / √n
So:
● √(49/64) = √49/√64
Notice that 64 = 8^2 and 49 = 7^2
● √49 / √64 = √(7^2)/√(8^2) = 7/8
So the answer is 7/8
Use the measure of the sides of triangle ABC to classify the triangle by its sides A(-1,3) B(-3,5) C(3,2)
Answer:
The triangle is a scalene triangle that has all three sides having different lengths
Step-by-step explanation:
The given vertices (and their coordinates) of the triangle are;
A(-1, 3)
B(-3, 5)
C(3, 2)
The equation for finding the lengths of a segment, l, given the coordinates, x, y is presented as follows;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
For segment AB, when, (x₁, y₁) = A(-1, 3) and (x₂, y₂) = B(-3, 5), we have;
[tex]l = \sqrt{\left (5-3 \right )^{2}+\left (-3-(-1) \right )^{2}} = 2\cdot\sqrt{2}[/tex]
Length of segment AB = 2·√2
For segment AC, when, (x₁, y₁) = A(-1, 3) and (x₂, y₂) = C(3, 2), we have;
[tex]l = \sqrt{\left (2-3 \right )^{2}+\left (3-(-1) \right )^{2}} = \sqrt{17}[/tex]
Length of segment AC = √17
For segment BC, when, (x₁, y₁) = B(-3, 5) and (x₂, y₂) = C(3, 2), we have;
[tex]l = \sqrt{\left (2-5 \right )^{2}+\left (3-(-3) \right )^{2}} = 3 \cdot \sqrt{5}[/tex]
Length of segment AC = 3·√5
The triangle is a scalene triangle that has all three sides having different lengths.
Which statement best illustrates using the vertical line test to determine if the graph below is a function of x? The graph is not a function of x because the line x = 0 intersects the graph at two points. The graph is a function of x because the line x = 5 does not intersect the graph. The graph is not a function of x because the line y = 0 intersects the graph at two points. The graph is a function of x because the line y = 5 does not intersect the graph.
Answer:
The graph is not a function of x because the line x = 0 intersects the graph at two points.
Step-by-step explanation:
This graph is not a function because it fails the vertical line test, since several vertical lines would intersect the graph at 2 points.
This answer choice is correct, as the line x = 0 intersects the graph at 2 points, (0, 2) and (0, -2).
Answer:
A
Step-by-step explanation:
PLEASE HELPP on THIS PICTURE FOR ONE OF MY QUESTIONS
Answer:
Linear pair postulate
Step-by-step explanation:
The Linear Pair Postulate states: "If two angles form a linear pair, then the angles are supplementary; that is, the sum of their measures is 180 degrees
A linear pair of angles is such that the sum of angles is 180 degrees.
what is the radical of 5√72 PLZ HELP!
Answer: Exact Form: 30√2
Decimal Form:42.42640687…
Step-by-step explanation: Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
I hope this helped :)
Answer:
30√2
Step-by-step explanation:
The radical portion of the given expression is √72.
__
Perhaps you want the simplest form of your expression. Factor out the perfect squares from under the radical.
[tex]5\sqrt{72}=5\sqrt{36}\sqrt{2}=5\cdot 6\sqrt{2}=\boxed{30\sqrt{2}}[/tex]
Please help me with this problem. I will give brainliest!
Answer:
centre = (11, 0 ), radius = 3
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - h)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
(x - 11)² + y² = 9 ← in standard form
with (h, k ) = (11, 0 ) and r² = 9 ⇒ r = [tex]\sqrt{9}[/tex] = 3
centre = (11, 0 ) and r = 3
42. How many solutions does this system of
equations have?
3x + 4y= 7
-3x – 4y = 7
A) 0
B) 1
C) 2
D) Infinite
Answer:
[tex]\Large \boxed{\mathrm{A) \ 0 }}[/tex]
Step-by-step explanation:
3x + 4y = 7
-3x - 4y = 7
Add both equations.
0x + 0y = 14
0 = 14
There are no solutions.
Answer:
A) 0
Step-by-step explanation:
Adding both equations.
0 + 0 = 14
0 = 14 (no solutions)
A line passes through the given points. Write an equation for the line in point-slope form. Then rewrite the equation in slope-intercept form. (4, –2), (9, –8)
Answer:
Step-by-step explanation:
(-8+2)/(9-4)= -6/5
y + 2 = -6/5(x - 4)
y + 10/5 = -6/5x + 24/5
y = -6/5x + 14/5
What is the value of x
Answer:4,24
Step-by-step explanation:
2(4x+x)=60
10x=60
x=6
4*6=24
Answer:
Step-by-step explanation:
Perimeter of a rectangle = 2 ( l + b ) = 60
here,
l = 4x
b = x
so,
2 ( l + b ) = 60
2 ( 4x + x ) = 60
2 ( 5x ) = 60
5x = 60 / 2
5x = 30
x = 30 / 5
x = 6
so l = 4x = 4 × 6 = 24
b = x = 6
you can also recheck it by
2 ( l + b )
2 ( 24 + 6 )
= 2 × 30
= 60
Which is equal to the perimeter.
Hope this helps
plz mark as brainliest!!!!!
a bottle is completely filled with olive oil the mass of the bottle is 500 grams if the density of the oil os 0.92 grams per milliliter what is the volume of the bottle to the nearest milliliter?
Answer:
543.48 millimetre
Step-by-step explanation:
mass/density = volume
500 grams / 0.92 grams per millimetre = 543.48
Answer:
volume = 543.478 cm³
Step-by-step explanation:
Density = mass / volume
0.92g/ml = 500g / volume
volume (0.92g/ml) = 500g
volume = 500g / (0.92g/ml)
volume = 543.478 ml (aprox. to the nearest mililiter)
1 ml = 1cm³
543.478ml = 543.478 cm³
A car is averaging 50 miles per hour. If the car maintains this speed, how many minutes less would a 450-mile trip take than a 475-mile trip?
Answer:
1/2 a minute (30 seconds)
Step-by-step explanation:
475/50=9.5
450/50=9
9-9.5=.5
If Ab = 54, find MC.
Answer:
MC = 45
Step-by-step explanation:
Δ ABH and Δ MCH are similar and the ratios of corresponding sides are equal, that is
[tex]\frac{AB}{MC}[/tex] = [tex]\frac{AH}{MH}[/tex] , substitute values
[tex]\frac{54}{MC}[/tex] = [tex]\frac{6}{5}[/tex] ( cross- multiply )
6MC = 270 ( divide both sides by 6 )
MC = 45
Simplify the expression. (3x2 – 4x + 1) + (-x2 + x – 9)
[tex](3x^2 - 4x + 1) + (-x^2 + x - 9)=\\3x^2-4x+1-x^2+x-9=\\2x^2-3x-8[/tex]
1A-MATH
Diviwuetalls
2 Exercise 7:
Your ansv
Type you
The three angles in a triangle are labeled A, B and C.
A = 2x
B= 3x
C=4x
Private coi
1) calculate X
2) find the actual angle of B
3) find the exterior angle to B
Answer:
Value of x = 20°
Angle B = 60°
Exterior angle to B = 300°
Step-by-step explanation:
Given:
Angles of triangle.
A = 2x
B = 3x
C = 4x
We know that,
A + B + C = 180°
2x + 3x + 4x = 180°
9x = 180°
x = 20°
Value of x = 20°
Angle B = 3x
Angle B = 3(20°)
Angle B = 60°
Exterior angle to B = 360° - 60°
Exterior angle to B = 300°
mila has 9 buttons mia has 225 mia has how many times as many buttons as mila?
Answer:
25
Step-by-step explanation:
divide mia's buttons by mila's
225 / 9
=25
Answer:
Step-by-step explanation:
225 ÷ 9 = 25
Mia has 25 times as many buttons as Mila
**Yoxelt buys 4 1/ 2 gallons of soda. One-fourth of the soda he bought was Pepsi and the rest was Sprite. How many gallons of Pepsi did Yoxelt buy? Show all work below.
Answer:
1 1/8
Step-by-step explanation:
1/4 of 4 1/2 is Pepsi.
1/4 * 4 1/2 = (1/4) * 4 + (1/4) * (1/2) = 1 1/8
In a given set of data, if the variance is 25, what is the standard deviation? *
Explanation: apply the square root to the variance to get the standard deviation
standard deviation = sqrt(variance)
variance = (standard deviation)^2
Based on the variance of the set of data and the definition of standard deviation, the standard deviation here must be 5.
Standard deviation allows us to measure how far apart variables are in a data set.
It is calculated as:
= √Variance
= √25
= 5
In conclusion, the standard deviation is 5 .
Find out more at https://brainly.com/question/14283696.
s
If point C is between points A and B and AB = 41, AC = 5x, BC = 3x – 7,
what is the value of x?
I NEED HELP ASAP
Answer:
x=6
Step-by-step explanation:
We know that point C is in the middle of point A and point B.
That means that when these two equations are added they should be equal to the length of AB which is 41.
5x+3x-7=41
add 7 to both sides
8x=48
divide both sides by 8.
x=6
10. The probability of buying pizza for dinner is 34% and the probability of buying
a new car is 15%. The probability of buying a new car given that you eat pizza for
dinner is 42%. What is the probability of eating pizza for dinner given that they
buy a new car?
Answer:
The probability of eating pizza given that a new car is bought is 0.952
Step-by-step explanation:
This kind of problem can be solved using Baye’s theorem of conditional probability.
Let A be the event of eating pizza( same as buying pizza)
while B is the event of buying a new car
P(A) = 34% = 0.34
P(B) = 15% = 15/100 = 0.15
P(B|A) = 42% = 0.42
P(B|A) = P(BnA)/P(A)
0.42 = P(BnA)/0.34
P(B n A) = 0.34 * 0.42 = 0.1428
Now, we want to calculate P(A|B)
Mathematically;
P(A|B = P(A n B)/P(B)
Kindly know that P(A n B) = P(B n A) = 0.1428
So P(A|B) = 0.1428/0.15
P(A|B) = 0.952
help..? why are there so many parentheses..?can you plz give a step by step on how to slove the equation?
Answer:
= -11
Step-by-step explanation:
-(-(11-22))
= -(-11+22)
= 11 - 22
= -11