Answer:
100 degrees
Step-by-step explanation:
Arc QM = Arc QN = 130°
Arc MN = 360 - Arc QM - Arc QN
= 360 - 2(130)
= 360 - 260
= 100°
A hovercraft takes off from a platform.
Its height (in meters),
x
xx seconds after takeoff, is modeled by:
h
(
x
)
=
−
3
(
x
−
3
)
2
+
108
h(x)=−3(x−3)
2
+108h, left parenthesis, x, right parenthesis, equals, minus, 3, left parenthesis, x, minus, 3, right parenthesis, squared, plus, 108
What is the height of the hovercraft at the time of takeoff?
Answer:
81 meters.
Step-by-step explanation:
The height (in meters), h(x) of a hovercraft x seconds after takeoff, is modeled by:
[tex]h(x)=-3(x-3)^2+108[/tex]
We are to determine its height at the time of takeoff.
Now, at the time of takeoff, x=0.
We substitute x=0 to solve for h.
[tex]h(0)=-3(0-3)^2+108\\=-3(-3)^2+108\\=-3(9)+108\\=-27+108\\=81$ meters[/tex]
The height of the hovercraft at takeoff is 81 meters.
If line L bisects AB at point M, and if AM = 4x and MB = 5x - 4. then find AB.
By setting up and solving the equation 4x = 5x - 4, we can find the value of x. Substituting the value of x into the expression for AM or MB, we can find the length of AB.
Explanation:In order to find AB, we need to solve for x since AM and MB are given in terms of x. Since line L bisects AB at point M, AM and MB should be equal. So, we can set up the equation 4x = 5x - 4 and solve for x.
4x = 5x - 4
-x = -4
x = 4
Now that we have the value of x, we can substitute it back into one of the expressions for AM or MB to find the length of AB. Using AM = 4x, we have AB = AM + MB = (4 * 4) + (5 * 4 - 4) = 16 + 16 = 32.
Therefore, AB is 32 units long.
Learn more about Geometry here:https://brainly.com/question/31408211
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In a class of 34 students 19 of them drinks tea and 4 of them drinks coffee 3 drinks both coffee and tea .
1- Draw a Venn diagram to show this information
2- how many students do not drink coffee or tea
The answer is attached.
help with on number 4 and 6 please! I will mark you the brainliest!
Answer:
4. 2 triangular faces, 9 edges, and 6 vertices
6. 2 rectangular faces, 12 edges, and 8 vertices
Step-by-step explanation:
Please mark brainliest :)
Evaluate −2x2−4x+3 when x=−2
Answer: 3
Step-by-step explanation:
Evaluate is a fancy word for putting the value assigned into the equation and see what result you get.
[tex]-2x^2-4x+3\\x=-2[/tex]
[tex]-2(-2)^2-4(-2)+3\\-2(4)+8+3\\-8+8+3\\3[/tex]
To evaluate the expression −2x²−4x+3 for x=−2, substitute x with -2 and perform the operations: square x, multiply by -2, multiply -4 by x, and add the results to get the final answer of 3.
To evaluate the expression
−2x²−4x+3 when x=−2, we need to substitute x with −2 and then follow the order of operations, which is to perform exponentiation before multiplication and addition.
Thus, −2x²−4x+3 evaluates to 3 when x is −2.
A bar graph titled Time Spent Practicing with hours on the x-axis and students on the y-axis. 3 students spent 0 to 59 minutes, 5 students spent 1 to 1 hours and 59 minutes, 8 students spent 2 to 2 hours and 59 minutes, 4 students spent 3 to 3 hours and 59 minutes, and 1 student spent 4 to 4 hours and 59 minutes. The histogram represents the number of hours band students practice their instruments. Use the drop-down menus to complete the statements. The bars represent . According to the histogram, students spend 3 or more hours practicing. According to the histogram, students spend fewer than 2 hours practicing.
Answer:
(a)Number of students
(b)5 Students
(c)8 Students
Step-by-step explanation:
From the supplied information
[tex]\left|\begin{array}{c|c}$Time Spent Practicing(hrs)&$Number of Students\\-------&------\\$0 to 59 minutes & 3\\$1 to 1 hours and 59 minutes&5\\$2 to 2 hours and 59 minutes&8\\$3 to 3 hours and 59 minutes&4\\$4 to 4 hours and 59 minutes&1\end{array}\right|[/tex]
(a)The bars represents the number of students who practiced for that particular duration.
(b)Students who spend 3 or more hours practicing
From the above table,
Number of students who spend 3 or more hours practicing=4+1
=5 Students
According to the histogram, 5 students spend 3 or more hours practicing.
(c)Students who spend fewer than 2 hours practicing
From the above table,
Number of students who spend fewer than 2 hours practicing=3+5
=8 Students
According to the histogram, 8 students spend fewer than 2 hours practicing.
Answer:
1. number of students
2. number 5
3. number 8
Step-by-step explanation:
hope this helps! have a good day! :)
Please answer ASAP I will give you five stars
Answer:
144π or 452.16
Step-by-step explanation:
Use the equation V = πr²h and solve for V to find volume
V = π(6)²(4)
V = 144π or 452.16
Which is the equation of an ellipse centered at the origin with foci on x-axis, major axis of length 12 and minor axis of length 8?
Answer:
[tex]\frac{x^{2} }{36}+\frac{y^2}{16}=1[/tex]
Step-by-step explanation:
Center of the ellipse is at origin (0, 0)
So (h, k) = (0, 0)
Length of major axis = 12
2a = 12
⇒ a = 6
Length of minor axis = 8
⇒ 2b = 8
⇒ b = 4
Since focus is on the x-axis, so it's a horizontal ellipse.
Equation of the horizontal ellipse is in the form of,
[tex]\frac{(x-h)^{2} }{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]
By substituting the given values of a, b, and (h, k)
[tex]\frac{(x-0)^{2}}{6^2}+\frac{(y-0)^2}{4^2}=1[/tex]
[tex]\frac{x^{2} }{36}+\frac{y^2}{16}=1[/tex]
Answer:
A
Step-by-step explanation:
edge
The speed of a boat in still water is 25 km/ hour. The time taken by this boat to go downstream of distance 120 is 4 hours. Find the speed of the stream/water.
Answer:
It is 5 km/hour
Step-by-step explanation:
Let w represents the speed of the water
The speed can be found by following:
→ distance = speed x time → speed = distance / time (1)
If the boat goes downstream the total speed of the boat is the speed of the boat in still water + the speed of the water. Substitute the values into equation 1:
→ (the speed of the boat in still water + the speed of the water) = 120 / 4
Since the speed of the boat in still water is 25
→ 25 + w = 120 / 4
→ w + 25 = 30
→ w = 5
PLEASE HELP ME!!!
I have a sock drawer with 16 socks. 6 are black, 8 are white and 2 are blue. What is the probability that I will randomly choose a white sock, put it to the side, and then randomly choose another white sock?
A. 7/30
B. 8/16
C. 7/15
D. 29/30
The probability of choosing one white sock and then another white sock from a drawer of 16 socks with 8 being white is 7/30, calculated by multiplying the probability of each event: (1/2) * (7/15).
Initially, there are 8 white socks out of 16 total socks in the drawer. After putting one white sock aside, there are now 7 white socks left out of 15 total socks in the drawer.
The probability for each event is calculated separately:
The probability of picking a white sock first: 8/16 or 1/2.
Then the probability of picking another white sock: 7/15.
To find the overall probability of both events occurring in sequence (one after the other), we multiply the probabilities of the two independent events:
(1/2) * (7/15) = 7/30.
So the correct answer is A. 7/30.
Help out before 8pm
Answer:
The two triangles are related by SAS so the triangles are congruent by SAS
Step-by-step explanation:
The angle that is the same is between the two sides that are the same
The triangle is congruent by SAS
Find the measure of arc QR
doing quests, sorry luv. but what does it look like?
C. 104°. The measure of arc QR is equal to 104°.
In Mathematics and Euclidean Geometry, the inscribed angle of a circle is equal to one-half of the central angle or intercepted arc of a circle. This ultimately implies that, the measure of an inscribed angle is one-half the measure of the arc it intercepts based on the inscribed angle theorem.
Since angle S intercepts arc QR, the measure of the angle substended by the intercepted arc can be modeled by the following mathematical equation:
m∠S = 1/2(arc QR).
52 = 1/2 × arc QR
Arc QR = 2 × 52
Arc QR = 104°.
Complete Question:
Find the measure of arc QR.
A. 26°
B. 52°
C. 104°
D. 128°
3x+6y=8
The equation in slope-intercept form is y=
Answer:
y=1/2x+4/3
Step-by-step explanation:
1.) subtract -3x to the side the 3x is on and then put it on the side that has the 8 on it
2.) write it out as 6y=-3x+8
3.) divide by six to the whole problem
4.) simplify
Four friends went to a park to fly kites. Asher stood 50 feet due west of the flagpole. Baxter stood 50 feet due north of Asher. Cranby stood 100 feet due East of Baxter. Dudley stood 50 feet due south of Cranby. How far is Dudley from the flagpole
Answer:Dudley is 50 feet from the flagpole.
Step-by-step explanation:
The situation is represented in the attached diagram. FL represents the flagpole.
A represents the position of Asher.
B represents the position of Baxter.
C represents the position of Cranby.
D represents the position of Dudley.
Looking at the diagram, Dudley is at the same level with Asher but eastwards of the flagpole. The distance of Dudley from the flagpole would be
100 - 50 = 50 feet
Final answer:
Dudley is 100 feet east from the flagpole after the friends have each moved from their starting positions.
Explanation:
The question describes four friends at different locations in relation to a flagpole, and we are asked to determine how far Dudley is from the flagpole after following the described steps by the friends. To solve this, we can visualize or draw a diagram to represent the positions of friends and use the Pythagorean theorem to find the distance Dudley is from the flagpole.
Asher is 50 feet due west of the flagpole.Baxter is 50 feet due north of Asher.Cranby is 100 feet due East of Baxter.Dudley is 50 feet due south of Cranby.First, let's determine the position of Cranby.
Since Baxter moved 50 feet north from Asher's position and then Cranby moved 100 feet east from Baxter's position, we can see that Cranby is 100 feet east and 50 feet north of the flagpole.
Dudley, standing 50 feet south of Cranby, would thus be at the same north-south position as the flagpole but still 100 feet to the east.
Therefore, Dudley is 100 feet east of the flagpole.
Hector and his classmates traveled 416 miles in 8 hours. How many miles per hour did they travel?
Answer:
52
Step-by-step explanation:
Answer:
52
Step-by-step explanation:
you just need to divide 416 by 8
what is an equevilent fraction to 2/4
1/2 = 2/4 = 3/6,4/8,5/10,6/12,7/14, etc.
Add 1 to the numerator. Add 2 to the denominator.
Answer:
Equivilent fractions of 2/4 include the following: 1/2, 3/6, 4/8, 5/10.
Step-by-step explanation:
The fraction 2/4 can be simplified to 1/2, because 2 is half of 4. And since 3 is half of 6, it can also be simplified to 1/2, making the fractions 2/4 and 3/6 equal to eachother.
I hope that makes sense :)
25 more than a number, t
Answer:
25+(The number)
Step-by-step explanation:
Choose the equation that represents the solutions of 0 = 0.25x2 - 8x
0.25+ 0.25)2 – (4)(1)(-8)
2(1)
-0.25 +
0.25)2 – (4)(1)-8)
2(1)
(-8)2 – (4)(0.250
200.25)
(-8)2 – (4)(0.25)0
2(0.25)
Answer:
Step-by-step explanation:
Given that,
0 = 0.25x² - 8x
This is a quadratic equation, since it has the highest power of x to be 2.
0.25x² - 8x = 0
Simplify this by bring out x
x(0.25x - 8) = 0
So, if a × b = 0, it is either a = 0 or b = 0, if the multiplication of two number is 0, then it is either one of the number is 0 or both numbers is 0
So,
x(0.25x - 8) = 0
x = 0. OR. 0.25x - 8 = 0
x = 0. OR. 0.25x = 8
x = 0. OR. x = 8 / 0.25
x = 0. OR. x = 32.
So, the solution that describe the system is
0.25(0)² - 8(0)
OR
0.25(32²) - 8(32)
Answer:
c
Step-by-step explanation:
A circle has a sector with area 20\pi20π20, pi and central angle of \purple{\dfrac{2}{5}\pi}
5
2
πstart color #9d38bd, start fraction, 2, divided by, 5, end fraction, pi, end color #9d38bd radians .
What is the area of the circle?
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
Answer:
100pi
Step-by-step explanation:
Answer:
Find the volume of the sphere.
Either enter an exact answer in terms of \piπpi or use \dfrac{22}{7}
7
22
start fraction, 22, divided by, 7, end fraction for \piπpi.
units^3
3
cubed
Step-by-step explanation:
Find the volume of the sphere.
Either enter an exact answer in terms of \piπpi or use \dfrac{22}{7}
7
22
start fraction, 22, divided by, 7, end fraction for \piπpi.
units^3
3
cubed
You have less than 3 hours to complete your homework. What inequality would represent this?
Answer:
<
Step-by-step explanation: Since it just said you have less than and not equal to you can say its only less than.
Answer:
< Is the correct answer
What is the value of a?
Answer:
180-(4a+32)=48-4a
(142-4a)+39+(a+41)=180
-4a+a=180-142-39-41
-3a= -48
a=-48/-3
a=16
Two lines meet at a point that is also the endpoint set up an equation to find the value of w pls need help
In APQR, the measure of ZR=90°, RQ = 16, PR = 63, and QP = 65. What ratio
represents the cosine of angleQ?
Answer:
The ratio is 16/65
Step-by-step explanation:
In this question, we are tasked with calculating what ratio represents the cosine of the angle Q.
In a right angled triangle, there are usually three sides, the hypotenuse, the opposite and the adjacent. Also, there are three angles, 2 asides the ∠90°. The hypotenuse is the longest side which faces the ∠90°, the opposite is that side facing the angle we are interested in while the adjacent is the third side.
Hence we can have only a single hypotenuse, which is the longest side, two opposites(depending on the angle we are concerned about and two adjacents two based on the angle of interest
Firstly, please check attachment for diagrammatic representation.
The ratio for the cosine of an angle is = length of adjacent/length of hypotenuse
From the diagram, with respect to angle Q, the length of the adjacent is 16 while the length of the hypotenuse is 65.
Thus, the ratio representing the cosine of angle Q is 16/65
(5x-6)^2=25x^2-60x+36. Where did the -60x come from?
Answer:
see below
Step-by-step explanation:
(5x-6)^2
This means
(5x-6)*(5x-6)
FOIL
First: 5x*5x = 25x^2
outer: 5x*-6 = -30x
inner -6*5x = -30
last -6*-6 = 36
Add these together
25x^2 -30x-30x +36
Combine like terms
25x%2 -60x+36
Triangle L N M is shown. Angle L N M is a right angle. Angle N L M is 70 degrees and angle N M L is 20 degrees. The length of hypotenuse L M is 8. Rounded to the nearest tenth, what is the length of LN? sin(20°) = StartFraction L N Over 8 EndFraction (8)sin(20°) = LN = LN
Answer:
2.7
Step-by-step explanation:
its the answer trust me
What is 110% of 90 as a fraction
Answer:99/1
Step-by-step explanation:110% = 1.1
1.1 * 90 = 99
99= 99/1
BRAINLIEST FOR HELP PLZ
Answer:
1,395 sq feet
Step-by-step explanation:
lets start with the area of the green cube b×h. 15×15=225. 225×5= 1125. I got five because there are 5 visible faces on the cube. to find the area of a triangle you use the formula 1/2 bh 9×15= 135 multiply that by 2 instead of one half because you have four triangular faces. add your areas together and you get 1395
Answer: 1465
Step-by-step explanation:
225 base
225 for each wall (x4)
540 area for the top
please help will mark branlist!!
Answer:
x=9
Step-by-step explanation:
Looking at the diagram, we see that four angles are formed by the intersection of two lines. The angles highlighted in blue and green are therefore, vertical angles. We know that vertical angles have equal angle measures meaning that in this case, the measure of the blue angle is equal to the measure of the green angle. Using this, we can now solve for x:
7x+49=2x+94
7x-2x=94-49
5x=45
x=45/5
x=9
Simplify the expression. StartFraction 0.5 (negative 14 + 12.6) over 9.32 + (negative 7.92) EndFraction –0.04 –0.5 0.5 9.5
Answer:
Negative 0.5
Step-by-step explanation:
i just took the test and got the awnser right.
Find the area of the shape shown below.
Answer:
the answer to this question would be 47.5