Answer:
B
Step-by-step explanation:
u can count the amount of steps the triangle has been shifted. it's 3 up and 5 left. leaving the red triangle I it's new position
(3)/(4)x-3=(2)/(5) write this without fractions
3x -17
4 -5 =0
3(x-4)=2
4 5
The number of points Marcus scored in different rounds of a computer board game is shown 236, 342, 328, 352, 352, 306, 317 What score does Marcus need in his next game to have a mean of exactly 325?
Answer:
583
Step-by-step explanation:
The mean of a data set is the average of the data set. It can be found by adding up all of the values and then dividing by the total number of values added. In this case, one is given the mean, and one needs to find a missing value. Since there is a missing element, add one to the total number of values in the data set. The missing element is represented by the parameter (x). Set up an equation and solve:
Simplify,
Inverse operations,
how do you solve 8/14 = 2/x
Answer:
x = 3 1/2
Step-by-step explanation:
8/14 = 2/x
Using cross products
8*x = 14*2
8x = 28
Divide by 8
8x/8 = 28/8
x = 7/2
x = 3 1/2
PLEASE HELP. !!!!!!!!!
In each problem, angle C is a right angle. Solve each triangle rounding answers to the nearest
tenth.
2) c= 16, b=14
Answer:
B = 61°
A = 29°
a = 10
Step-by-step explanation:
We are given;
c = 16, b = 14
Since we are told that C is a right angle, it means that C = 90°
Thus using sine rule, we have;
c/sin C = b/sin B
16/sin 90 = 14/sin B
16/1 = 14/sin B
sin B = 14/16
sin B = 0.875
B = sin^(-1) 0.875
B ≈ 61°
Now, since C is a right angle, it means that c will be the hypotenuse of the triangle.
Thus, from pythagoras theorem, If the other side of the triangle is a, then;
a² + b² = c²
a² + 14² = 16²
a² = 16² - 14²
a² = 256 - 156
a² = 100
a = √100
a = 10
Since we know B and C, we can find A because sum of angles in a triangle is 180°.
Thus;
A = 180 - (B + C)
A = 180 - (61 + 90)
A = 29°
if FBE=72 what is fge and cd?
Answer:
FGE = 44 degrees
CD = 72 degrees
Step-by-step explanation:
Let's solve for FGE first;
We know that CGD and FGE are verticals angles and therefore congruent, so if;
CGD = FGE
44 = FGE
Now let's solve for CD;
We know that arc FED is 180 since the central angle it intersects is a semicircle.We also know that arc ED is congruent to arc FC.We also know that measure of arc FBE is 72.Therefore we can say;
FED = FBE + ED
180 = 72 + ED
180 - 72 = ED
108 = ED
So;
FC also = 108
Now we know that the measure of a whole circle is 360 and here we are given 4 arcs that make up a full circle;
FBE + ED + DC + CF = 360
72 + 108 + DC + 108 = 360
288 + DC = 360
DC = 360 - 288
DC = 72
Hope this helps!
1) An average soccer ball has a mass of .4 kg. If a soccer ball is kicked with a force of 750 Newtons, what is the acceleration of the soccer ball after it has been kicked?
2) If a tiger runs at a speed of about 12.3 m/s, how far will it travel in 25 seconds?
Answer:
1) 187.5ms^2
1) 187.5ms^22) 307.5m
Step-by-step explanation:
1) You can use the formula:
Force = Mass x Acceleration
750 = 4 x a
750 = 4a
750/4 = a
187.5ms^2
2)
For every one second it travels 12.3 meters therefore you can just do 12.3x25 = 307.5m
A manufacturer of cream filled donuts collected data from its automatic filling process, the amount of cream inserted into the donuts is normally distributed. To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 donuts. The correct value of t* to construct a 99% confidence interval for the true mean amount of cream filling is ________. Group of answer choices 2.797 1.318 1.711 2.060 2.787
Answer:
The correct value is t* = 2.797.
Step-by-step explanation:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 25 - 1 = 24
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a two-tailed confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.797.
The speed of an airplane is 885 km per hour. Find the distance covered by the airplane in 3 hours and 20 minutes. Also, express the distance in scientific notation. I will mark as brainliest if you give answer right
Answer:
[tex]2.95\cdot 10^3\:\mathrm{km}[/tex]
Step-by-step explanation:
Distance is given by [tex]D=st[/tex], where [tex]s[/tex] represents speed or rate and [tex]t[/tex] represents time.
What we're given:
speed of [tex]885\:\mathrm{km/h}[/tex] time of [tex]3.\overline{3}[/tex] hoursThus, the distance covered by the airplane is:
[tex]d=885\cdot 3.\overline{3}=2,950\:\mathrm{km}[/tex]
In scientific notation:
[tex]2,950\:\mathrm{km}\implies\boxed{2.95\cdot 10^3\:\mathrm{km}}[/tex]
Answer:
Distance = speed * time
The distance is:
885 * 3 20/60 = 885 * 3 1/3 = 885 * 10/3 = 2950 km2950 km = 2.95*10³ kmCalculate the volume of the following object (the length of the cube is 5 m):
Answer:
8m x 7m x 8m = 448m
1. Two numbers, which differ by 3, have a product of 88.
Find them.
Answer:
Let x be one of the numbers
then since they differ by 3... Let (x-3) be the 2nd Number
Their product is 88
(x-3)x = 88
x²-3x =88
x² - 3x - 88=0
Solving The quadratic eqn
x=11 or x = -8.
To check this answer
since the Numbers are x and x-3
x= 11
x-3 = 11 - 3 = 8
(x-3)x = 8x11 = 88.
Or When x=-8
(x-3) = -8 - 3 = -11
x= -8
(x-3)x = -8 x - 11 = 88.
Have a great day!
Answer:
First Set: [11, 8], Second Set: [-8, -11]
Step-by-step explanation:
The first number will be x. The second number is x-3. So now make an equation: x(x-3)=88 because their product equals 88. So now solve.
Solving:
[tex](x)(x-3)=88[/tex]
[tex]x^{2}-3x-88=0[/tex]
Now you can factor:
[tex](x-11)(x+8)=0[/tex]
[tex]x=11, x=-8[/tex]
Now plug in each number for x for the following equation:
[tex](x)(x-3)=88[/tex]
[tex](11)(11-3)=88[/tex]
[tex]88=88[/tex]
This is true.
[tex](-8)(-8-3)=88[/tex]
[tex]88=88[/tex]
This is true.
Both are true. So now you have two sets of answers.
Your welcome!
Find the value of. X (will mark brainliest)
Answer:
[tex]x=30[/tex]
Step-by-step explanation:
[tex]5x=3x+60[/tex]
[tex]-3x[/tex] [tex]-3x[/tex]
[tex]2x=60[/tex]
[tex]/2[/tex] [tex]/2[/tex]
[tex]x=30[/tex]
Check:
[tex]5(30)=3(30)+60[/tex]
[tex]150=90+60[/tex]
[tex]150=150[/tex]
Hope this helps!
What is the point slope form of a line that has a slope of 1/2 and passes through point (-7, 2)?
Answer: anser is the last one y-2=1/2(x-(7))
Step-by-step explanation:
Solve for x in this inequality. Show all your work and
graph your solution.
4(x-3)<2x-4
Answer:
x<4
Step-by-step explanation:
To solve for x in the inequality equation, the terms should be rearranged such that x is on one side and integers are on the other side.
First, expand 4(x-3).
This will obtain:
[tex]4x - 12 < 2x - 4[/tex]
Now, shift x terms and integers on each side.
[tex]4x - 2x < - 4 + 12[/tex]
After simplifying, it will get:
[tex]2x < 8[/tex]
Finally, we can solve for x.
[tex]x < 4[/tex]
We can also draw the respective graph (please don't mind my drawings), where the area shaded in green is the range.
What additional piece of information is needed to prove the triangles congruent by ASA?
The additional piece of information is ∠S ≅ ∠J, which satisfy the given condition.
What is ASA Congruence?If any two angles and side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by ASA rule.
You need at least one pair of congruent corresponding sides to prove two triangles are congruent. If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent.
Here, We can get
ΔTBJ ≅ Δ DPS
Existing conditions, JB = PS
and ∠B = ∠P
Prove by ASA, ∠S ≅ ∠J
Thus, additional piece of information is ∠S ≅ ∠J, which satisfy the given condition.
Learn more about ASA Congruence from:
https://brainly.com/question/10677854
#SPJ2
Jeanette uses more yarn to knit a poncho than she uses to knit a scarf. Write an inequality to represent the amount of yarn Jeanette uses to knit a poncho (p), and explain how to represent the inequality on a number line.
Answer:
[tex]p > s[/tex]
Step-by-step explanation:
Given
[tex]p \to poncho[/tex]
[tex]s \to scarf[/tex]
Required
The inequality
From the question, we understand that;
the number of p used is more than the number of s
more than means greater than.
So, the inequality is:
[tex]p > s[/tex]
To represent this on a number line.
First, we identify the position of s (i.e. scarf)
[tex]p > s[/tex] implies that p is any point to the right of s
Round 9.107 to the nearest tenth.
Answer:
9.1
Step-by-step explanation:
Answer:9.1
Step-by-step explanation: simply remove the 2 digits after 1 as the tenth place is always one digit after the point
Find the value of c that makes x^2–6x + c a perfect square trinomial and write as a binomial squared.
Answer: 9
Step-by-step explanation:
Given
The function is [tex]x^2-6x+c[/tex]
To make it a perfect square, compare it with [tex](a-b)^2=a^2+b^2-2ab[/tex]
Here,
[tex]x=a,\\-6x=-2ab\\\\\therefore b=3[/tex]
So, c must be square of b i.e. 9
[tex]x^2-6x+c\Rightarrow x^2-6x+9\\\Rightarrow (x-3)^2[/tex]
Therefore, value of c is 9.
how do you translate "Sixteen increased by the product of a number, k, and three."as a variable expression.
Answer:
16+(kx3)
Step-by-step explanation:
You add 16 to kx3
Evaluate e - 1/2 f when c = 15 and f =2
Answer: 14
Step-by-step explanation: I am guessing that you wrote the "c" incorrectly and that meant to be an "e". All you really need to do is replace the letters with the numbers that equal the letters, which would be:
(15) - 1/2(2)
1/2 * 2 = 1
15 - 1 = 14
I need help solving this quick pleaseeeeeee
Answer:
Step-by-step explanation:
angle 1 and angle 2 add to 180 degree because they are supplementary angel and in supplementary angle sum of two angles is 180 degree
angle 1 and angle 3 is equal as they are vetically opposite angles and vertically opposite angles are always equal.
angle 3 and 4 add to 180 degree because they are supplementary angle and in supplementary angle sum of two angles id 180 degree.
angle 2 and angle 4 are equal because they are vertically opposite angles and vertically opposite angles are always equal.
Help plzz
7. Patrick wants to buy a new computer. He already has $275 saved and plans to save $125 each month. The price of
the computer is currently $1,850, but Patrick expects the price to drop by $100 each month. Patrick wants to
determine the number of months he will need to save
a) Ifx represents the number of months, then write an equation to represent A, the total amount Patrick saves
b) Ifx represents the number of months, then write an equation to represent the cost of the computer.
c) Use your equations from part "" and part to determine how many months he will need to save before he can
buy the computer. Show your work or explain how you got your answer.
d) If the price of the computer does not drop as expected, then how many months will it take Patrick to buy the
computer at its original cost? Show your work or explain how you got your answer.
Answer:
A) A = 275 + 125x
B) 1850 - 100x
C) 7 months
D) 13 months
Step-by-step explanation:
He has $275 saved.
He plans to save $125 each month.
We are told that the computer is currently $1,850
And the price drops $100 each month.
Thus;
A) If x represents the number of months, then equation of the amount he will save is;
A = 275 + 125x
B) If x represents the number of months, then equation to represent the total cost is;
1850 - 100x
C) To find the Number of months he will need to save, we will equate gotten in question A to the equation gotten in question B. Thus;
275 + 125x = 1850 - 100x
Rearranging;
125x + 100x = 1850 - 275
225x = 1575
x = 1575/225
x = 7 months
D) If the price doesn't drop like he is anticipating, then the cost will still be $1850. Thus;
275 + 125x = 1850
125x = 1850 - 275
125x = 1575
x = 1575/125
x = 12.6 months
Approximating to the nearest whole number gives 13 months
What is the equation of the line perpendicular to y=5/4x-10 and passes through the point (11,6)?
Answer:
[tex]y=-\frac{4}{5}x+\frac{74}{5}[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is equal to 0)Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 5/6 and -6/5, etc.)1) Determine the slope (m)
[tex]y=\frac{5}{4} x-10[/tex]
From the given equation, we can identify clearly that the slope of this line is
[tex]\frac{5}{4}[/tex]. The negative reciprocal of [tex]\frac{5}{4}[/tex] is [tex]-\frac{4}{5}[/tex], so therefore, the slope of the line we're currently solving for is [tex]-\frac{4}{5}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-\frac{4}{5}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-\frac{4}{5}x+b[/tex]
Plug in the given point (11,6) and solve for b
[tex]6=-\frac{4}{5}(11)+b\\6=-\frac{44}{5}+b[/tex]
Add [tex]-\frac{44}{5}[/tex] to both sides to isolate b
[tex]6+\frac{44}{5}=-\frac{44}{5}+b+-\frac{44}{5}\\\frac{74}{5} =b[/tex]
Therefore, the y-intercept is [tex]\frac{74}{5}[/tex]. Plug this back into [tex]y=-\frac{4}{5}x+b[/tex]:
[tex]y=-\frac{4}{5}x+\frac{74}{5}[/tex]
I hope this helps!
Kyle's mother traveled the same 12 mile route as kyle, but she drove her car. During the first third, kyle's mother traveled at an average rate four times greater than kyle's. During the second third of the trip, she traveled at an average rate 4 miles less per hour less than the first third. During her last third of the trip, she traveled downhill at an average rate of 12 miles per hour greater than the second section. How long did it take kyle's mother to travel the same 12 miles by car that kyle traveled on his bike
Answer:
The time it would take Kyle's mum is given as follows;
[tex]t = \dfrac{3 \cdot v^2+ 2\cdot v - 2}{v \cdot (v - 1) \cdot (v + 2)}[/tex]
Where v = Kyle's average rate
Step-by-step explanation:
The details of Kyle's mother's journey are;
The distance she drove = 12 miles
Her speed during the first third (12/3 = 4 miles), v₁ = 4 × Kyle's speed, v
Her speed in the second third(between 4 and 8 miles), v₂ = v₁ - 4
Her speed in the last third, v₃ = v₂ + 12
∴ v₁ = 4·v
v₂ = v₁ - 4 = 4·v - 4
v₃ = v₂ + 12 = 4·v - 4 + 12 = 4·v + 8
∴ t₁ = (t/3)/4 = t/12 = 4/(4·v) = 1/v
t₂ = 4/(4·v - 4) = 1/(v - 1)
t₃ = 4/(4·v + 8) = 1/(v + 2)
The total time, t = t₁ + t₂ + t₃
∴ t = 1/v + 1/(v - 1) + 1/(v + 2) = [tex]\dfrac{3 \cdot v^2+ 2\cdot v - 2}{v \cdot (v - 1) \cdot (v + 2)}[/tex]
The time it would take Kyle's mum to travel the same 12 miles by car that Kyle traveled on his bike, t = [tex]\dfrac{3 \cdot v^2+ 2\cdot v - 2}{v \cdot (v - 1) \cdot (v + 2)}[/tex]
Find the value of RS
Answer:
[tex]RS~\times~RT=RQ^2[/tex]
[tex]x(x+40)=45^2[/tex]
[tex]x^2+40x-45^2=0[/tex]
[tex]x=\frac{-40+-\sqrt{(40)^2+4\times45^2} }{2}[/tex]
[tex]=\frac{-40+-\sqrt{9700} }{2}[/tex]
[tex]x=29.2[/tex]
---------------------------
hope it helps..
have a great day!!
Help fast please??!!
Answer:
104.6
just use the cone formula and add the two together.
Is this true or false!!! Need help!
Answer:
false
Step-by-step explanation:
false
Answer:
it is false it'll be (-infinity,infinity )
Step-by-step explanation:
Hope this helps!! <3
A store sells dolls for $10 each. They charge a one time shipping fee of $5. Write an equations that gives the number of dolls, d, if the store made $100.
Answer: 100 = 10d + 5
Step-by-step explanation:
Dolls are sold for $10 each so when checking the total amount made from the sale of d dolls you will multiply d by the price of each doll:
= 10 * d
= 10d
There is a $5 charge for shipping but this is one time so it is added to the total price of d dolls:
= 10d + 5
The total made was $100 so the equation above should equal $100:
100 = 10d + 5
can someone pls help for brainlest
Answer:
4:50
Step-by-step explanation:
The clock shows 4:40
It takes 10 minutes to get home, so add 10 minutes to 4:40 and you will get 4:50.
durante un frente frío, la temperatura Canadá bajó de 7°C a -5°C ¿Cuántos grados bajo la temperatura
Answer:
Durante el frente frío mencionado en el ejercicio, la temperatura de Canadá bajó:
12°C.Step-by-step explanation:
Para obtener la cantidad de grados que bajó la temperatura en el caso mencionado, debes primero identificar la disminución en los grados positivos, es decir, cuando los grados Celsius llegaron a 0°C:
Diferencia entre 7°C y 0°C = 7°CEn la operación matemática, solo restante la cantidad de grados necesarios a la temperatura inicial (7°C) para que la temperatura quedara en 0°C, donde obtenemos una diferencia de 7°C, ahora identificas la cantidad de grados que se necesitan para que la temperatura pase de 0°C a -5°C:
Diferencia entre 0°C y -5°C = 5°CRecuerda que como ya estamos hablando de diferencia, no necesitas señalar si los grados son negativos, solo identificamos el número de grados Celsius entre esas temperaturas mencionadas, por lo tanto, al final sumas las dos diferencias halladas y esa será la diferencia total entre las dos temperaturas dadas:
Diferencia entre 7°C y -5°C = 7°C + 5°CDiferencia entre 7°C y -5°C = 12°CPor lo tanto, durante el frente frío mencionado, la temperatura en Canadá bajó 12°C.