Answer:
6 units
Step-by-step explanation:
A quarter of the 24-inch circumference of this circle would be 6 units.
Answer:
6 units.
Step-by-step explanation:
24 * 1/4
= 6.
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.
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!
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 km1. 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!
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
Pedro ordered a pizza. The pizza place charges $12 for a large pizza plus an additional $2.50 per topping. The total cost of Pedro's pizza was $22. Write and solve an equation to determine many toppings Pedro ordered.
Answer:
4 toppings
Step-by-step explanation:
22-12=10
2.50*?=10
2.50*4=10
4 toppings
Answer:
12+(2.50x)
12+(2.50*4)
12+(10)
22
Step-by-step explanation:
x stands for number of toppings
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
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
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!!
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.
Can yall please help me with this, pls try to explain in it steps, ty.
Answer:
D
Step-by-step explanation:
First find the slope of the line. The two points I will use are (0, 3) and (4, 2).
(2-3)/(4-0) = -(1/4). In all the equations below, the number/co-efficient before x is the slope of the line. D is the correct answer because you can rearrange the right side of it to get y = -(1/4)x+2. The co-efficient of x is -(1/4) so D is the right answer. Hope this helps! :)
Answer: D
Step-by-step explanation:
In order to have the same slope, in y=mx+b form, the two "m" must be equal.
Step 1 is to find the slope of the graph through two points. I choose the points (0,3) and (4,2)
slope is y2-y1/x2-x1 so 3-2/0-4 = -1/4
Now find which equation has the m of -1/4 and that's your answer
Hint its D.
I'm struggling please help!
Answer:
Calculate the zero of the function.
Step-by-step explanation:
Plot two points, Connect them, Draw a straight line and make sure they line up.
(3)/(4)x-3=(2)/(5) write this without fractions
3x -17
4 -5 =0
3(x-4)=2
4 5
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
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 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!
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°
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.
WILL MARK BRANLIEST AND YOULL GET 100 PTS!!!!!!Which two points satisfy y = -x2 + 2x + 4 and x + y = 4?
A. (0, 4) and (4, 0)
B. (0, 4) and (3, 1)
C. (7, -3) and (0, 4)
D. (7, -3) and (4, 0)
Answer:
It would be D or C.
Step-by-step explanation:
Mr. Jubran goes to a restaurant and has a bill of $32.57. He uses a 10% off coupon
on the cost of the meal. The tax is 8%. He leaves a tip of 18% on the amount
before the coupon or tax applied. How much does he spend?
Answer:
$36.97
The cost of the meal was $32.57 and he used a 10% off coupon. You can make 10% equal to 0.1 because . Now do . This is the discount, so you want to subtract this from the original to get the actual price of the meal, .
The tax was 8% so this means he is adding
what is the area of the right triangle below
Answer:
8 units²
Step-by-step explanation:
The formula for the area of a triangle is a=[tex]\frac{bh}{2}[/tex], where a is area, b is base length, and h is height.
If we substitute b with 8 and 2 with h, we get a=[tex]\frac{2*8}{2}[/tex].
This can be immediately simplified to 8 by dividing both the numerator and denominator by 2.
**This content involves area of triangles, which you may wish to revise. I'm always happy to help!
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]
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:
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
6(b+1)=8
Solve for x
Answer:
b = 1/3
Step-by-step explanation:
6(b+1)=8
Solving for b
Distribute
6b +6 = 8
Subtract 6 from each side
6b+6-6 = 8-6
6b = 2
Divide by 6
6b/6 = 2/6
b = 1/3
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,
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
Find the zero of the function f (x) = -2x +2.
Answer:0 = 3x - 21
Step-by-step explanation:
From this given function we can take an
x
common from its expression
i.e
x
2
−
6
x
=
x
(
x
−
6
)
As we know that the product of two numbers is zero,when either one of them is zero
then in the above expression that we just factorised
the function can be zero when either
x
=
0
or when
x
=
6
i.e when
x
=
0
,
0
(
0
−
6
)
=
0
when
x
=
6
,
6
(
6
−
6
)
=
6
(
0
)
Finally, our prize of all that math, the zeroes of the function are
0
and
6
these numbers are called the zeroes of the function because when you put these values in
x
the function gives zero.
Find the measure of the exterior angle.
The measure of the exterior angle of the triangle is
Answer:
x =132
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
x = 46+86
x =132
Answer:
x=132 degree
Step-by-step explanation:
86 + 46 = x (sum of two interior opposite angle is equal to the exterior angle formed)
132 =x
therefore the value of x is 132 degree.
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
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