Answer:
11.8Option B is the right option.
solution,
X=4
y=2
now,
[tex]1.3(x + 2) - (y - 6) \\ = 1.3(4 + 2) - (2 - 6) \\ = 1.3 \times 6 - ( - 4) \\ = 7.8 + 4 \\ = 11.8[/tex]
Hope this helps..
Good luck on your assignment
Answer:
It's 11.8
Step-by-step explanation:
find sin 2a and cot 2a:
Answer:
[tex]sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cot(2\alpha ) = \frac{16511}{18720}[/tex]
Step-by-step explanation:
[tex]\text{if } cos(\alpha)=\frac{12}{13}\\\text{That must mean we have a triangle with base 12, and hypotenuse 13.}\\\text{Using Pythagoras, we can determine the base of the triangle must be 5.}\\a^2+b^2=c^2 \text{, where c is the hypotenuse and a, b are the two other sides.}\\c^2-b^2=a^2\\\sqrt{c^2-b^2}=a\\\sqrt{13^2-12^2}=\sqrt{169-144}=\sqrt{25}=5\\\text{Therefore, }sin(\alpha) = \frac{5}{12}\\sin(2\alpha)=2sin(\alpha )cos(\alpha)\\\text{(From double angle formulae identities)}\\[/tex]
[tex]sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cos(2\alpha )=cos^2(\alpha)-sin^2(\alpha)\\cos(2\alpha )=(\frac{12}{13})^2-(\frac{5}{12})^2=\frac{16511}{24336}\\cot(2\alpha)=\frac{cos(2\alpha)}{sin(2\alpha)}=\frac{\frac{16511}{24336}}{\frac{10}{13}}=\frac{16511}{18720}[/tex]
A small airplane can fly 12 miles in 3 minutes. At this rate, how far can it fly in 7 minutes? In an hour?
Answer:
28 miles in 7 minutes, 240 miles in an hour
Step-by-step explanation:
We can first simplify the rate to miles per minute. Since the plane goes 12 miles in 3 minutes, we can divide it by 3 to find how much it travels in one minute. 12 divided by 3 is 4 and 3 divided by 3 is 1
The plane travels 4 miles a minute
To find how much it travels in 7 minutes, multiply by 7
4x7 is 28
28 miles in 7 minutes
To find an hour, multiply by 60
4x60= 240
240 miles in an hour
£80 is divided between Fiona, Pip & Sara so that Fiona gets twice as much as Pip, and Pip gets three times as much as Sara. How much does Fiona get?
Answer:
Fiona got £48
Step-by-step explanation:
let Sara=x
Pip=3x
Fiona=2(3x)
x+3x+2(3x)=£80
4x+6x=£80
10x=£80
10x/10=£80/10
x=£8
therefore Sara(x) got £8
Pip=3x
=3(8)
=£24
Fiona=2(3x)
=2(24)
=£48.
Find the points of intersection of the following function graphs: y=14−2.5x and y=1.5x−18 PLEASE HELP ONLY HAVE 20 MINUTES
Answer:x=8 Y=-6
Step-by-step explanation:
14-2.5x=1.5x-18
+18. +18
32-2.5x=1.5x
+2.5x =2.5x
32= 4x
Divide 4 to both sides you get
8=x
Y=14-2.5(8)
Y=14-20
Y=-6
2. Below is a circle with centre C. A, B, D, and E
are points on the circumference. BD is a diameter of
the circle.
Angle CDA is 18° Find the size of angle EDA.
You must show your workings
Answer:
Step-by-step explanation:
45-37
8x17 = 136
Which of the following is a solution of the system
x - 2y < 4 and y > – 2x – 5?
1. (1, - 4)
2. (-8,2)
3. (0,0)
4. (-3,0)
Answer:
Answer B
Step-by-step explanation:
1. (1, -4) is NOT a solution because (1) - 2(-4) < 4 is false.
2. (-8, 2): -8 - 2(2) < 4 is true, and in simplified form is -12 < 4 (true) We must check whether this point (-8, 2) ALSO satisfies y > -2x - 5:
2 > -2(-8) - 5. Yes, this is true, so the given point satisfies both inequalities in Answer B.
The length of a rectangle is three times its width.
The perimeter of the rectangle is 24cm
Calculate the area
Area of a rectangle is 27 cm²
Given:
Perimeter of a rectangle = 24 cm
Length = 3x
Width = x
p = 2(l + w)
24 = 2(3x + x)
24 = 6x + 2x
24 = 8x
24/8 = x
3 = x
Width = 3 cm ; Length = 3x = 3(3) = 9 cm
Area = length * width
= 9cm * 3 cm
Area = 27 cm²
Answer:
Area of a rectangle is 27 cm²
Step-by-step explanation:
Answer the question now fast
Answer:
second and third choice
Step-by-step explanation:
supplamentary = add up to be 180
What number is represented by point B?
Which point represents the number 2?
Answer:
-1, c
Step-by-step explanation:
Each dot represents 1.
0 - 1 = -1
As labeled, c represents 2.
Please Help 100 points
Which graph shows the solution set for Negative 1.1 x + 6.4 greater-than negative 1.3?
A number line going from negative 10 to 0. An open circle is at negative 7. Everything to the left of the circle is shaded.
A number line going from negative 10 to 0. An open circle is at negative 7. Everything to the right of the circle is shaded.
A number line going from 0 to 10. An open circle is at 7. Everything to the left of the circle is shaded.
A number line going from 0 to 10. An open circle is at 7. Everything to the right of the circle is shaded.
Answer:
see below
Step-by-step explanation:
-1.1 x + 6.4 >- 1.3
Subtract 6.4 from each side
-1.1 x + 6.4 -6.4 >- 1.3-6.4
-1.1x > -7.7
Divide each side by -1.1, remembering to flip the inequality
-1.1x/-1.1< -7.7/-1.1
x < 7
There is an open circle at 7 and a line going to the left
Hey there! :)
Answer:
C.
Step-by-step explanation:
Given:
-1.1x + 6.4 > -1.3
Subtract 6.4 from both sides:
-1.1x > -7.7
Divide both sides by -1.1. Flip the sign because you are dividing by a negative sign.
-1.1x/ (-1.1) < -7.7/(-1.1)
x < 7.
Therefore, C is the correct answer. Since the sign used is < without the equal to, an open circle would be used.
Which of the following represents the factorization of the trinomial below?
x² - 2x - 48
A. (x-4)(x-12)
B. (x+4)(x-12)
C. (x-6)(x-8)
D. (x+6)(x-8)
Answer: (x-8)(x+6)
Step-by-step explanation: For this equation, you need to figure out what two numbers add up to add -2, and multiply to get -48.
These numbers are +6 and -8. So the factored pair will be (x+6)(x-8)
Hope this helps:)
Answer: d
Step-by-step explanation:
This a trinomial so to find the factorization you need just to solve this equation :
x²-2x-48=0a=1b=-2c=-48Δ=(-2)²-4*1*(-48)=196 so our trinomial has 2 solutions : [tex]\left \{ {{y=\frac{2+\sqrt{196} }{2} } \atop {x=\frac{2-\sqrt{196} }{2} }} \right.[/tex]x=8 and y=-6
the factorisation is f(x)=a* (x-8)(x-(-6))
the answer is : (x+6) (x-8)
Triangles D E F and P Q R are shown. Given that StartFraction D F Over P R EndFraction = StartFraction F E Over R Q EndFraction = three-halves, what additional information is needed to prove △DEF ~ △PQR using the SSS similarity theorem? DE ≅ PQ ∠D ≅ ∠P StartFraction D E Over E F EndFraction = three-halves StartFraction D E Over P Q EndFraction = three-halves
Answer:
The correct option is;
DE/PQ = 3/2 which is StartFraction DE Over PQ Endfraction = three-halves
Step-by-step explanation:
The information given bout the triangles are;
DF/PR = FE/RQ = 3/2
Therefore since the given sides of triangle DEF are 3/2 times the sides of triangle PQR, the given sides of triangle DEF have been scaled 3/2 times to get the given sides of triangle PQR
Therefore, to prove that ΔDEF ~ ΔPQR, the ratio of the third side of triangle DEF, that is DE, to the third side of triangle PQR, which is PQ must be three-halves.
Answer:
The answer is DE/PQ = 3/2 or D.
Step-by-step explanation:
Just did it on edge. hope you do good :)
please answer these 2 question correctly and get marked brainliest
Answer:
See below.
Step-by-step explanation:
46.
Theorem:
The measure of an exterior angle of a triangle equals the sum of the measures of the remote interior angles.
The 100-deg angle is an exterior angle whose remote interior angles are angles E and F.
m<E + m<F = 110
5x + 6x = 110
11x = 110
x = 10
m<E = m<FEG = 5x = 5 * 10 deg = 50 deg
Answer: C. 50 deg
47.
A is not true since we know that 5x + 6x must equal 110, not 70.
Answer:
<FEG=50
A. is wrong
Step-by-step explanation:
For the first question, we know <F &<E are remote interior angles which add up to 110 (exterior angle)
so:
[tex]5x+6x+110\\11x=110\\x=10[/tex]
so:
[tex]5x= 5(10)\\FEG=50[/tex]
Now using what we know, we can determine that A. is wrong since 5x+6x is 110° not 70°
Hope this helps!
The sales tax on clothing in Nebraska is 5.5%. Calculate how much tax you need to pay on a shirt if it costs $36.60 before tax. Round your answer to the nearest cent.(plz answer asap)
Answer:
$2.01.
Step-by-step explanation:
Tax paid = 5.5% * 36.60
= 0.055 * 36.60
= 2.013
A computer randomly generates a 5-digit string using numbers between 0 and 9 inclusive. What is the probability that the first two digits in the string are a 4 and a 2 , in that order?
Answer: 0.01.
Step-by-step explanation:
Given: A computer randomly generates a 5-digit string using numbers between 0 and 9 inclusive.
i.e. each place in 5 digit number has 10 choices.
Total ways to make such a number = [tex]10^5=100000[/tex].
If the first two digits in the string are a 4 and a 2, in that order, then the number of ays to make this kind of number = 1 x 1 x 10 x 10 x 10 = 1000 [as 4 and 2 can be put on first and second place in 1 way ]
Now, the probability that the first two digits in the string are a 4 and a 2 , in that order = [tex]\dfrac{1000}{100000}=\dfrac{1}{100}=0.01[/tex]
Hence, the probability that the first two digits in the string are a 4 and a 2 , in that order = 0.01.
What is 4.3 as a fraction in simplest form
what is the range of the function?
Answer:
Range { 2,4,9,16}
Step-by-step explanation:
The range of the function is the output of the system
Range { 2,4,9,16}
Answer:
Step-by-step explanation:
Range is ll the y-points the outputs {2,4,9,16}
heleeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeep
Answer:
3.625 is ans
Step-by-step explanation:
4.5+0.25_+1.125=3.625
Step-by-step explanation:
this is your answer sis ...
Which of the following functions best describes this graph
Answer: its c i took the test
Step-by-step explanation:
Which triangle is a regular polygon? right triangle equilateral triangle scalene triangle obtuse triangle
Answer:
Step-by-step explanation:
In a regular polygon, all sides and angles are equal.
So, an equilateral triangle is an example for regular polygon
Answer:
equilateral triangle should be the correct answer
Step-by-step explanation:
In how many ways can the letters of the word PROBABLY be arranged using all of the letters?
Answer:
20160
Step-by-step explanation:
If there is no repeat of the alphabets, the answer will simply be 8! = 40320 (8 words)
but, there is B which repeated 2 times.
So, 8!/2!
Answer:
20160
Step-by-step explanation:
Let's write the word PROBABLY. There are 8 letters in total, but the letter B repeats twice. So, instead of just doing 8! or 1*2*3*4*5*6*7*8, you have to exclude the two B's.
So, you have to do 8! / 2! because the 2! is the two B's.
Hope this helps!! :)
PLEASE HELP ME!! I NEED AN ANSWER ASAP PLZ! Given the quadrilateral inscribed in the circle, what is m∠L?
Answer:
97 degrees
Step-by-step explanation:
What is the recursive formula for the geometric sequence with this explicit formula?
Answer:
[tex]a1 = 9 \\ an = a(n - 1) \times ( \frac{ - 1}{3} )[/tex]
Image attached: geometry
===================================================
Explanation:
For me, I find it easier to find the exterior angle first. For any convex polygon, the sum of the exterior angles is 360 degrees. When we talk about regular polygons with n sides, each exterior angle is 360/n degrees. In this case, we have a nonagon with 9 sides. So n = 9 is plugged into 360/n to get 360/9 = 40 as the exterior angle measure
exterior angle = 40
We could stop here since we can see the answer must be choice A. But let's keep going. To get the interior angle, we subtract the result we got from 180
interior angle = 180-(exterior angle) = 180-40 = 140
This is because any adjacent pair of interior and exterior angles must form a straight angle of 180 degrees.
--------------------
side note: you could use the formula [tex]i = \frac{180(n-2)}{n}[/tex] to find the measure of the interior angle.
Trinity created a game that uses 8 cards numbered 1 to 8 and a six-sided cube numbered 1
to 6. Each player chooses one card and rolls the cube to determine the number of spaces to
move on the game board.
What is the probability that Trinity will choose a card greater than 6 and roll a 6 on the
cube?
Done -
The probability that Trinity will choose a card greater than 6 and roll a 6 on the cube will be 4.167%.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Trinity created a game that uses 8 cards numbered 1 to 8 and a six-sided cube numbered 1 to 6.
Each player chooses one card and rolls the cube to determine the number of spaces to move on the game board.
Then the probability that Trinity will choose a card greater than 6 and roll a 6 on the cube will be
[tex]\rm P = \dfrac{2}{8}\times \dfrac{1}{6}\\\\\\P = \dfrac{1}{24}\\\\\\P = 0.04167 \ or \ 4.167\%[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
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What is the number of possible outcomes for the tree diagram below?
w
w
w
A. 8
B. 6
C. 4
0
D. 2
Answer:
4
Step-by-step explanation:
'15 points in total for brainliest and correct answer, please answer ASAP'
What is the area of the shaded portion if the area of the circle is 56 sq cm?
Answer:
14cm² is the area of the shaded region
Step-by-step explanation:
recognize that those two small triangles plus that arc area is equal to 1/4 of the area of the circle.
56 / 4 = 14cm
)Bentley had $40 in birthday money in her piggy bank. She spent $10 on new flip-flops, then got $20 for her allowance and did not spend any of that money for 1 week. Finally, she spent $15 on new sunglasses. Which part of the scenario is best represented by a linear increasing interval? Bentley has $40 in her piggy bank. Bentley spent $10 on new flip flops. Bentley got $20 for her allowance. Bentley spent $15 on sunglasses.
Answer:
Bentley got $20 for her allowance.
Step-by-step explanation:
What is the solution to (5m)² - (2n-3m)³ if m=-3 and n=5
Answer:
-6634
Step-by-step explanation:
(5m)² - (2n-3m)³ if m=-3 and n=5
= (5 * (-3))^2 - (2 * 5 - 3 * (-3))^3
= (-15)^2 - (10 - (-9))^3
= 225 - (19)^3
= 225 - 6859
= -6634
If F(x) =5x/3 +5
+5, which of the following is the inverse of F(x)?
O A. F'(x) = 5(x+5)
3
O B. F'(x) = 3(x+5)
5
C. F1(x) = 5(x-5)
O D. F'(x) = 3(-5)
Answer:
[tex]f^{-1}(x)=\frac{3(x-5)}{5}[/tex]
Step-by-step explanation:
[tex]f(x)=y=\frac{5x}{3}+5\\y-5=\frac{5x}{3}\\3(y-5)=5x\\x=\frac{3(y-5)}{5}\\ => f^{-1}(x)=\frac{3(x-5)}{5}[/tex]
The inverse of the linear function, f(x), f(x) =5x/3 +5 is f⁻¹(x) = 3 (x -5) / 5. The correct option is f⁻¹(x) = 3 (x -5) / 5
What is the inverse of a function?The inverse of a function is a function that reverses the effect the original function.
Here, we have,
The original function is; f(x) =5x/3 +5
The inverse of f(x) can therefore be found by making x the subject of the equation as follows;
f(x) = 5x/3 +5
f(x) -5 = 5x/3
(f(x) -5) 3 = 5·x
x = (f(x) -5) 3 / 5
x = 3 (f(x) -5) / 5
Plugging in x = f⁻¹(x) and f(x) = x, in the above equation, we get;
f⁻¹(x) = 3 ((x) -5) / 5
f⁻¹(x) = 3 (x -5) / 5
The correct option that is an inverse of f(x) is f⁻¹(x) = 3 (x -5) / 5.
Learn more on the inverse of a function here: brainly.com/question/29652632
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