Answer:
A. 11.18
Step-by-step explanation:
(1, -2) will be x1 and y1.
(-9, 3) will be x2 and y2
The formula is
Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute in all the variables.
[tex]\sqrt{(-9-1)^2+(3-(-2))^2}[/tex]
Solve.
[tex]\sqrt{(-10)^2+5^2}[/tex]
[tex]\sqrt{100+25}[/tex]
[tex]5\sqrt{5}[/tex]
11.18033988.....
I hope this helps!
pls ❤ and mark brainliest pls!
In the diagram, MZACB = 65. mzECD = А E B C С D
Answer:
m<ECB = 65°
Step-by-step explanation:
<ACB and <ACD are vertical angles. That means they are congruent and have equal measures.
m<ECB = 65°
The amount of water dispensed by a water dispenser is normally distributed,
with a mean of 11.60 ounces and a standard deviation of 0.15 ounces. In
which range will the amount of water dispensed be found 68% of the time?
A. 11.30 ounces to 11.90 ounces
B. 11.15 ounces to 12.05 ounces
C. 11.45 ounces to 11.75 ounces
D. 11.00 ounces to 12.20 ounces
SUBMIT
Answer:
The correct answer is - C. 11.45 ounces to 11.75 ounces.
Step-by-step explanation:
According to the empirical rule of the distribution for 68% falls under the normal curve falls within 1 standard deviation of the mean.
That is:
μ±δ
From the given information, the mean is
μ = 11.60
and the standard deviation is
δ = 0.15
We substitute the given parameters to obtain;
11.60±0.15
11.75 and 11.45
This means the lower limit is
11.45
and the upper limit is
11.75
P(x) = 1 – 2x2 – 3x3 + 4x has what order?
Answer:
3
Step-by-step explanation:
assuming you forgot you ^ mark after x x^3 would be the highest x order here making it the order for the equation.
In triangle ABC, AC=13, BC=84, and AB=85. Find the measure of angle C
Answer:
90degrees
Step-by-step explanation:
To get the measure of angle C, we will use the cosine rule as shown;
AB² = AC²+ BC² - 2(AC)(BC)cos C
85² = 13²+ 84² - 2(13)(84)cos C
7225 = 169 + 7056 - 2184cosC
7225 - 7225 = -2184cosC
0 = -2184cosC
cosC = -0/2184
cosC = 0
C = arccos0
C = 90degrees
Hence the measure of angle C is 90degrees
A squirrel in a 14 ft tall tree looks down at an angle of 74 degrees at an acorn on the ground? Solve for the distance from the base of the tree to the acorn. Explain how you arrived at
your answer.
find the distance (-1,-2) and (3,-1)
Answer:
[tex]\sqrt{17}[/tex]
Step-by-step explanation:
[tex]\sqrt{4^2 + 1^2}[/tex]
[tex]\sqrt{17}[/tex]
17
x
3
8
Find the unknown side length, x. Write your answer in simplest radical form.
A 15
B. 5/10
C2/70
D. 4 37
==========================================================
Explanation:
It helps to add point labels. Let's place point A at the very top point of the triangle. Then point B will be at the 90 degree angle. Point C is the far left point. Lastly, point D is on segment BC such that DC = 3.
Since BC = 8 and CA = 17, we can use the pythagorean theorem to get...
(AB)^2 + (BC)^2 = (AC)^2
(AB)^2 + (8)^2 = (17)^2
(AB)^2 + 64 = 289
(AB)^2 = 289-64
(AB)^2 = 225
AB = sqrt(225)
AB = 15
Now focus on triangle ABD and apply the pythagorean theorem again to find side AD
(AB)^2 + (BD)^2 = (AD)^2
AD = sqrt( (AB)^2 + (BD)^2 )
AD = sqrt( (AB)^2 + (BC-CD)^2 )
AD = sqrt( (15)^2 + (8-3)^2 )
AD = sqrt(250)
AD = sqrt(25*10)
AD = sqrt(25)*sqrt(10)
AD = 5*sqrt(10) .... answer is choice B
Find the measure of the indicated angle.
Answer:
86°
Step-by-step explanation:
180-(2*47)
= 180-94
= 86
Answered by GAUTHMATH
3x + ky = 8
X – 2ky = 5
are simultaneous equations where k is a constant.
Show that x = 3.
Answer:
3X +ky=8 eqn 1
X-2ky=5 eqn 2
but we want to eliminate ky to get our X.
So let's multiply eqn 1 by 2.
We will have 6x +2ky=16 now eqn 3
now we add eqn 1 and 2
We will have 7x=21
divide by 7
x=3
Solve each system by substitution
y=4
-3x+5y=2
Answer:
x = 6; y = 4
Step-by-step explanation:
y=4
-3x+5y=2
-3x + 5(4) = 2
-3x + 20 = 2
-3x = -18
x = 6
Answer: x = 6; y = 4
Answer:
(6,4)
Step-by-step explanation:
y=4
-3x+5y=2
Substitute y=4 into the second equation
-3x+5*4=2
-3x +20 = 2
Subtract 20 from each side
-3x +20-20 = 2-20
-3x = -18
Divide by -3
-3x/-3 = -18/-3
x=6
(6,4)
A bus has less than 42 seats. If 36 seats are already occupied, write an
inequality representing the possible number of passengers that can be
added to the bus.
A.) x - 36 < 42
B.) x + 36 < 42
C.) x - 36 > 42
D.) x + 36 > 57
Answer:
B
Step-by-step explanation:
A x - 36 <42 is wrong because its saying how many can be added
B x +36 < 42 this one is most likely correct because its displays x as how many can be added
C x - 36 > 42 this is wrong because the bus has less than 42 seats
D x + 36 >57 like i said cant be over 42
The inequality representing the possible number of passengers that can be added to the bus is Option(B) x + 36 < 42.
What is inequality ?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. Inequality is used most often to compare two numbers on the number line by their size. There is always a definite equation to represent it.
How to form the given inequality equation ?Let x be the number of passengers that can be added to the bus.
It is given that the bus has less than 42 seats and 36 seats are already occupied.
The sum of the remaining seats which are to be filled by the passenger and the 36 seats which are filled, must be less than the total seats that is 42.
Therefore the inequality equation becomes,
x + 36 < 42.
Thus, the inequality representing the possible number of passengers that can be added to the bus is Option(B) x + 36 < 42.
To learn more about inequality equation, refer -
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I need to verify this function is symmetric with respect to the y-axis. How would I go about doing that?
h(x)=x^4-5x^2+3
Answer:
Yes, the function is symmetric about y-axis.
Step-by-step explanation:
To check whether the function is symmetric with respect to y-axis, replace each x as -x and simplify.
If h(x) = h(-x) then it is symmetric about y-axis.
Let's find h(-x) now.
h(-x)= [tex](-x)^4} -5(-x)^{2} +3[/tex]
Let's simplify it
h(-x)=[tex]x^{4}-5x^{2} +3[/tex]
Here, h(x) = h(-x). The function is symmetric about y-axis.
Identify the segment parallel to the given segment .
Answer:
MN => CB
ON => CA
AB => MO
CB => MN
OM => BA
AC => NO
To use energy efficiently, a certain washing machine should wash at least 2 kilograms of clothes. To avoid overloading the machine, at most 6 kilograms should be washed.
What is the range of the loads for this washing machine ?
Step-by-step explanation:
the answer is in the image above
The range of loads for this washing machine is from 2 to 6 kilograms to ensure energy efficiency and avoid overloading.
Given that,
The washing machine should wash at least 2 kilograms of clothes to use energy efficiently.
To avoid overloading the machine, the maximum weight that should be washed is 6 kilograms.
To find the range of loads for this washing machine,
Determine the minimum and maximum weight that can be washed.
The minimum weight that can be washed is 2 kilograms, as mentioned. And the maximum weight is 6 kilograms, as overloading the machine should be avoided.
Therefore,
The range of loads for this washing machine is from 2 kilograms to 6 kilograms.
This means that any load within this range can be efficiently washed without overloading the machine.
To learn more about the measurement unit visit:
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Plz help out real quick
Answer:
b=55°..Step-by-step explanation:
b+6°+41°+b+23°=180°{sum of angle of triangle}2b+70°=180°2b=180°-70°b=110/2b=55°hope it helps.stay safe healthy and happy......Classify the following triangle. Check all that apply.
104
O A. Right
O B. Equilateral
O c. Scalene
O D. Isosceles
E. Acute
O F. Obtuse
SUBMIT
Answer:
isosceles
obtuse
Step-by-step explanation:
We know that one angle is 104 and angles greater than 90 and less than 180 are obtuse
We know that 2 sides are equal indicated by the lines on the sides. That means the triangle is isosceles
In the diagram below, lines AB and CD are...
Answer:
Perpendicular
Step-by-step explanation:
Perpendicular lines intersect and create 4 90 degree angles
Line AB and CD intersect and create 4 90 degree angles therefore line AB and CD are perpendicular
What is the probability of a customer buying carrots,?
OPTION 3: 10 percent
Answer:
I think the probability of a customer buying carrots is 10.0
please help SO CONFUSED
Answer:
SOH-CAH-TOA
[tex]h = \sqrt{ 9^{2} +5^{2} }[/tex]
~~~~~~~~~~
H= [tex]\sqrt{106}[/tex]
O= 5
A= 9
~~~~~~~~~~~~~~~~
Sin = [tex]\frac{5}{\sqrt{106 } }[/tex]
Cos= [tex]\frac{9}{\sqrt{106 } }[/tex]
Tan = [tex]\frac{5}{9 }[/tex]
Step-by-step explanation:
i’m having trouble with this question. if anyone can answer it would mean a lot
Answer:
Step-by-step explanation:
x = - 48/-8 = 6
c = c^2/c^1 = c^(2-1) = c^1
d = d^4 / d^1 = d^(4 - 1) = d ^3
x = 6
e = 1
f = 3
Splash Island and Magic Park are amusement parks. If you visit splash Island, you pay $3 per ride plus a $14 entrance fee. If you visit Magic Park, you pay $5 per ride plus a $7 entrance fee. You have $32. At which park could you go on more rides?
Answer:
Splash Island.
Step-by-step explanation:
Magic Park = 32 - 7 = 25 you would have 25 dollars to spend on rides which would only get you 5 rides.
Splash Island = 32 - 14 = 18 this gives you 18 dollars to spend on rides, which would get you 6 rides.
Therefore you can go on more rides at Splash Island.
Hope this helps!
Write the equation of a line in slope-intercept form that has a slope of -0.5 and passes through the point (-5, 1.5)
Simplify 7root 3divide by root 10 +root3
[tex]\huge{\colorbox{pink}{Hope It Helps You ! }}[/tex]
Answer:
[tex]\sqrt{30}-3[/tex]
Step-by-step explanation:
Write the given expression in a numerical format:
[tex]\frac{7\sqrt{3}}{\sqrt{10}+\sqrt{3}}[/tex]
A logical first step to take in this problem is to convert the denominator to a rational value. Currently, the denominator is an irrational value, meaning that it is a never-ending value. One wants it to be a rational value. This can be done by multiplying the denominator by its conjugate. The conjugate of this number is simply the denominator with the second addend times negative one. Remember to multiply both the numerator and denominator by this value, as a number over itself is the same as multiply by (1) Use this idea here:
[tex]\frac{7\sqrt{3}}{\sqrt{10}+\sqrt{3}}[/tex]
[tex]=\frac{7\sqrt{3}}{\sqrt{10}+\sqrt{3}}*\frac{\sqrt{10}-\sqrt{3}}{\sqrt{10}-\sqrt{3}}[/tex]
Simplify,
[tex]=\frac{7\sqrt{3}}{\sqrt{10}+\sqrt{3}}*\frac{\sqrt{10}-\sqrt{3}}{\sqrt{10}-\sqrt{3}}[/tex]
[tex]=\frac{7\sqrt{3}(\sqrt{10}-\sqrt{3})}{(\sqrt{10}+\sqrt{3})(\sqrt{10}-\sqrt{3})}[/tex]
[tex]=\frac{7\sqrt{30}-7\sqrt{3*3}}{\sqrt{10*10}-\sqrt{3*3}+\sqrt{10*3}-\sqrt{10*3}}[/tex]
Note that any value times itself under the radical is equal to the number, meaning ([tex]\sqrt{a*a}=a[/tex]). Apply this to the problem,
[tex]=\frac{7\sqrt{30}-7\sqrt{3*3}}{\sqrt{10*10}-\sqrt{3*3}+\sqrt{10*3}-\sqrt{10*3}}[/tex]
[tex]=\frac{7\sqrt{30}-7*3}{10-3}[/tex]
[tex]=\frac{7\sqrt{30}-21}{7}[/tex]
[tex]=\sqrt{30}-3[/tex]
A research historian is interested in finding sunken treasure in the Atlantic Ocean. She knows that her equipment is only good enough to recover items that are at a depth of 5 000 m or less. The speed of sound through the water is 1 530 m/s. While working, the sonar equipment detects a reflection that is of interest. The echo from the item takes 6.2 s to return to the sonar detector. Will she be able to retrieve this item?
Answer:
Yes, she will be able to retrieve the item
Step-by-step explanation:
The information with regards to the research historian interest in finding a sunken treasure are;
The depth from which the equipment can recover items = 5,000 m
The speed of sound through water, v = 1,530 m/s
The time it takes the echo from the item to return to the sonar detector, t = 6.2 s
Let d, represent the depth at which the item is located
Given that an echo travels from the sonar detector to the item and back to the sonar detector, the distance traveled by the sound wave which is received as an echo by the sonar detector = 2 × d
Velocity, v = Distance/time
∴ Distance = Velocity × Time
The distance traveled by the echo = 2 × d = v × t
2 × d = v × t
∴ 2 × d = 1,530 m/s × 6.2 s
d = (1,530 m/s × 6.2 s)/2 = 4,743 m
The depth at which the item is located, d = 4,743 m is less than the maximum depth the equipment can recover items, therefore, she will be able to retrieve the item.
Express the following numbers in the Standard form 5x10-⁵
Step-by-step explanation:
5 × 10[tex] {}^{-5} [/tex]
is in standard form or scientific notification. I have assumed that you meant what is 5 × 10[tex] {}^{-5} [/tex]
as a number
so here it is :-
[tex]5 \times {10}^{-5} = \frac{5}{100000} [/tex]
[tex] = 0.00005[/tex]
the Standard form 5x10-⁵ is 0.00005.
Answer:
[tex]\bold{5*10^{-5}=\frac{5}{100000}=0.00005}[/tex]
Please help me solve this guys I only need the y-intercept
Answer: y-intercept = (0, -18)
Step-by-step explanation:
This is a quadratic equation question, where the quadratic equation is in the standard form of [y = ax² + bx + c]
The function of [a] in the equation is to determine the maximum/minimum of the parabola. If [a] is positive, then the parabola opens upward, which is a minimum. If [a] is negative, then the parabola opens downward, which is a maximum.
There aren't any particular functions of [b], but it operates with [a] to find the axis of symmetry.
The function of [c] is the y-intercept. The easiest way to prove this is to let x be zero, then we are left with the value [c]
Solve:
Given: y=-x²+8x-18
a = -1
b = 8
c = -18
Therefore, the y-intercept is (0, -18)
Hope this helps!! :)
Please let me know if you have any questions
Please help ASAP!!!
What is YZ?
Answer:
18.4 In
Step-by-step explanation:
36.8/2
= 18.4 In
that is the procedure above
WILL MARK BRAINLIEST! Can someone please help! I don't understand some of these questions :(
Answer:
18
Step-by-step explanation:
The interior and exterior angle of a polygon is supplementary
let interior be I
let exterior be E
I + E = 180
Since the interior angle is 8 times that of an exterior angle,
8E + E = 180 [replacing I with 8E]
9E = 180
E = 20
The exterior angle is 20 degrees
I + E = 180
I + 20 = 180
I = 160
The interior angle is 160 degrees.
The equation to find the interior angle of a polygon with 'n' number of sides is:
I = ( (n − 2) × 180 ) ⁄ n
We know the interior angle, so plug it in and solve for n:
160 = ( (n − 2) × 180 ) ⁄ n
160n = (n − 2) × 180
160n = 180n − 360
-20n = -360
n = 18
Please help me to solve this question pleaseee
Answer:
Step-by-step explanation:
1) ML // JK , MK is transversal,
∠LMK = ∠MKJ {Alternate interior angles are congruent}
∠LMK = 30°
In ΔMKO,
30 + 115 + ∠ JLM = 180 {Angle sum property of triangle}
145 +∠ JLM = 180
∠ JLM = 180 - 145
∠ JLM = 35°
2) AB // CD , AC is transversal
∠DCA = ∠BAC {Alternate interior angles are congruent}
∠DCA = 23
∠BCD = ∠DCA + ∠BCA
= 23 + 37
= 60
3) EF // HG ; FH is transversal
∠FHG = ∠HFE {Alternate interior angles are congruent}
∠FHG = 77
4) ZY // WX ; WY is transversal
∠ZYW = ∠XWY {Alternate interior angles are congruent}
= 65
ZY // WX ; WY is transversal
∠ZWY = ∠WYX {Alternate interior angles are congruent}
= 36
In ΔWZY
36 + 65 + ∠z = 180
101 +∠Z = 180
∠Z = 180 - 101
∠Z = 79
QUESTION 3 Toyota provides an option of a sunroof and side airbag package for its Corolla model. This package costs $1400. Assume that prior to offering this option package, Toyota wants to determine the percentage of Corolla buyers who would pay $1400 extra for the sunroof and side airbags. How many Corolla buyers must be surveyed if we want to be 95% confident that the sample percentage is within four percentage points of the true percent all Corolla buyers
Answer:
n=601
Step-by-step explanation:
Formula used:
[tex]n=z(\frac{\alpha }{2})^2\frac{p(1-p) }{E^2}[/tex]
Solution:
[tex]n=z(\frac{\alpha }{2})^2\frac{p(1-p) }{E^2}[/tex]
Where,
[tex]\frac{\alpha }{2}=0.025[/tex]
As there is no previous estimate for p
Then, p=0.5
Here on using the table
[tex]z(\frac{\alpha }{2}) =1.959963985[/tex]
Also,
E=0.04
p=0.5
Thus,
n=600.2279407
On approximating the value,
n=601