A man flies a small airplane from Fargo to Bismarck, North Dakota- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1.2 hours. What is the planes speed in still air, and how fast is the wind blowing?
1) His plane speed equals ______ mph
2) The wind speed equals ______ mph
Answer:
1.) 120 mph
2.) 30 mph
Step-by-step explanation:
Given that a man flies a small airplane from Fargo to Bismarck, North Dakota- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1.2 hours. What is the planes speed in still air, and how fast is the wind blowing?
Let the wind speed = w
and the plane speed = p
From the first sentence,
P - w = 180/ 2
P - w = 90 ....... ( 1 )
From the second statement,
P + w = 180/1.2
P+ w = 150 ...... ( 2 )
Solve equation 1 and 2 simultaneously
P + w = 150
P - w = 90
Add the two equations
2P = 240
P = 120 mph
Substitute p in equation 1
W = 150 - 120
W = 30
Therefore, the wind speed is 30 mph and the plane speed is 120 mph
Work out the value of (√5)^2 x (√3)^2?
AE is an angle bisector of BAC if the measure of BAE = x + 30 and masure of angle EAC = 3x-10 determine Measure of angle EAC
The value of x for the given geometry will be 20°.
What is an angle?The angle is the measurement of the angular distance. For instance, we have a meter and an inch for linear motion, but we don't have a measurement for angular rotation, therefore the angle is helpful in determining angular rotation.
An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
Given that AE is a bisector of ∠BAE and ∠EAC
so,
∠BAE = ∠EAC
x + 30 = 3x - 10
x = 20°
Hence 20° will be the answer to the given question.
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4.
What is the result of (f X g)(x) if
f(x) = -3x + 11 and g(x) = 11x + 7?
( 33x² 100x - 77
(B 33x - 142x - 77
C -33x + 100x + 77
D -33x² + 142x + 77
Answer:
thank you
Step-by-step explanation:
thanks for the pts i need them sowwy
The complement of an angle is 59°. What is the measure of the angle?
can someone explain what surface area means?
Answer:
The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Step-by-step explanation:
The total area of the surface of a three-dimensional object. Example: the surface area of a cube is the area of all 6 faces added together
What is the y-intercept of the line?
It crosses the y axis at 4... it is 4 :)
Answer:
a. (0, 4)
General Formulas and Concepts:
Algebra I
The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.Step-by-step explanation:
According to the graph, the line crosses the y-axis at y = 4. Therefore, our y-intercept is 4. Writing it in coordinate point would be (0, 4), as definition of the y-int.
What is the value of the exponential expression below 64 1/2
Answer:
its 8
Step-by-step explanation:
A family went to a baseball game. They spent $25 to park the car in a parking lot and $24 per ticket. Which equation represents x, the total number of people going to the baseball game if the family spends y, $145 total?
need help fast
The graph of y^2 + 8y – 4x – 24 = 0 is a parabola. Where is the focus located?
Answer:
It’s (-9,-4)
Step-by-step explanation:
Edge
The focus of the graph of the function is located at (−9,−4).
Given that, the graph of y²+ 8y – 4x – 24 = 0 is a parabola. We need to find where is the focus located.
What is vertex form?The vertex form of an equation is an alternate way of writing out the equation of a parabola. Normally, you'll see a quadratic equation written as ax²+bx+c, which, when graphed, will be a parabola.
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Right
Vertex: (−10, -4)
Focus: (-9, -4)
Axis of Symmetry: y=−4
Directrix: x=−11
Therefore, the focus of the graph of the function is located at (−9,−4).
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Find the angle PQR [Geometry]
Answer:
5⁰
Step-by-step explanation:
Angle on A STRAIGHT line sums up to 180⁰
angle PQR and angle RQS are both on a straight line therefore they sum up to 180⁰
4x+129+5x+6=180
then here you group like terms
4x+5x=150-129-6
9x=45
divide both sides by 9
9 dividing 45 is 5
Please help!! ASAP!!!
Answer:
125 cm
Step-by-step explanation:
I am 100% sure because I did the math
If you are able to answer this I’ll give most Brainly and I need it in about 20 min
Nov
Month June July Aug Sept Oct
Rainfall (in.) 6.14 7.19
8.63
8.38 6.47
2.43
2. The table shows monthly rainfall in inches for
five months. Identify the outlier in the data set.
Determine how the outlier affects the mean,
median, and mode of the data. Then tell which
measure of center best describes the data with
and without the outlier. Round to the nearest
hundredth. Justify your selection.
okay, first to figure out the IQR of the table you need to organize them from least to greatest.
2.43, 6.14, 6.47, 7.19, 8.38, 8.63
to find the middle number of all of these you add them all together and divide by 6, which is the total amount of numbers there.
2.43 + 6.14 + 6.47 + 7.19 + 8.38 + 8.63 = 39.24
39.24 / 6 = 6.54
now that we have the IQR, next we find the outlier. to find the outlier you multiply the IQR by 1.5 which is 6.54 x 1.5 = 9.81 <- outlier
Outliers affect the mean value of the data but have little effect on the median or mode of a given set of data.
2.43 + 6.14 + 6.47 + 7.19 + 8.38 + 8.63 + 9.81 = 49.05
49.05 / 7 = 7.00 (Rounded)
I tried my best to solve this, sorry if it doesn't help.
Which action would violate the Ninth Amendment?
speaking with a pharmacist about a prescription
accusing a political opponent of dishonest behavior
publishing a family recipe in a community cookbook
obtaining unauthorized personal information from a website
Answer:
d
Step-by-step explanation:
The action that would violate the Ninth Amendment would be:
d) Obtaining unauthorized personal information from a website.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, Today, the Ninth Amendment is used mainly to stop the government from expanding their power rather than just limiting their power.
The 9th amendment means that even if a right is not specifically mentioned in the Constitution, it still belongs to the people.
For example, in this case, the right to privacy. It's not specifically mentioned in the Constitution, but it is still a right that the government cannot take away.
Thus, The action that would violate the Ninth Amendment would be:
d) Obtaining unauthorized personal information from a website.
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what does n equal? btw this is 6th grade! also < Is between 3 and 5
Answer:
n < 4
Step-by-step explanation:
[tex]\frac{1}{2} n+3<5[/tex]
-3 -3
[tex]\frac{1}{2} n[/tex] < 2
divide both sides by [tex]\frac{1}{2}[/tex]
n < 4
Hope this helps!!!
Can someone help me ASAP please with all the odd numbers I would be very grateful.
help me, please I am in need for
Answer:
I think it must be between 75 and 76
276.2 rounded to the nearest tenth
Answer:
276.2 rounded to the nearest 10th is 276.2.....
Step-by-step explanation:
Answer:276.2...
Step-by-step explanation:
The center of a circle is located at the point (1,1). The point (6,3) is located on the circle.
What is the radius of the circle?
Answer:
Square root of 29
Step-by-step explanation:
The required radius of the circle would be √29 units which circle with a center at (1, 1) and a point on the circle is (6, 3).
What is the equation of a circle?The equation of a circle with center (h,k) and radius r is :
r² = (x−h)² + (y−k)²
Given that a circle with a center at (1, 1) and a point on the circle is (6, 3).
Since the circle passes through points (6, 3),
So the radius (r) of the circle is the distance between points (1, 1) and (6,3).
⇒ r² = (6 - 1)² + (3 − 1)²
⇒ r² = (5)² + (2)²
⇒ r² = 25 + 4
⇒ r² = 29
⇒ r = √29
Therefore, the required radius of the circle would be √29 units.
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You can use the formula A = 252 + 4sh to find the surface area of a square prism
that has a base with edge length s and height h. A square prism has a base with
edges that are 12 centimeters long and a height of 15 centimeters. What is the
surface area of the square prism? Show your work.
Please answer fast!! I’m in a test. Give the full explanation
Answer:
The surface area is 972 square cm
Step-by-step explanation:
Numeric Value of Functions
Given the function:
A = 252 + 4sh
Where A is the surface area of a square prism , s is edge length of the base h is the height.
A square prism has a base with edges s=12 cm long and height of h=15 cm.
Substituting these values, we get:
A = 252 + 4(12)(15)
A = 252 + 720 = 972
A = 972
The surface area is 972 square cm
The surface area of the square prism is 1008 cm².
Surface area of a square prism:
Surface area = 2s² + 4shwhere
s = edge side
h = height
Therefore,
s = 12 cm
h = 15 cm
surface area = 2 × 12² + 4 × 12 × 15
surface area = 2 × 144 + 48 × 15
surface area = 288 + 720
surface area = 1008
surface area = 1008 cm²
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Mandy and her mom are making homemade play-dough. Besides the flour, the recipe calls for 1/4 cup of salt for every 3/4 cup of water
used. How much salt would they need if they used one cup of water?
Answer:
about a half teaspoon
Step-by-step explanation:
How many different combinations are there for the word MATH
Answer:
[tex]Combination = 24[/tex]
Step-by-step explanation:
Given
MATH
Required
Number of combination
First, we count the letters in MATH
There are 4 letters;
So:
[tex]n = 4[/tex]
Since, no letter is repeated.
The number of combination is n!
This gives:
[tex]Combination = 4![/tex]
[tex]Combination = 4*3*2*1[/tex]
[tex]Combination = 24[/tex]
What is the distance between point A and point C on the number line?
А
8
B
10
с
5
D
6
10 units is the distance between point A and point C on the number line.
What is Number system?A number system is defined as a system of writing to express numbers.
We need to find the distance between point A and point C on the number line.
A number line is a picture of a graduated straight line that serves as visual representation of the real numbers.
The length along a line or line segment between two points on the line or line segment is known as distance.
The point A is at -3.
The point C is at 7
Now the distance between A and C is AC.
AC=OC-OA
=7-(-3)
=7+3
=10
Hence, 10 units is the distance between point A and point C on the number line.
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Tropical Storm Zeta will bring 0.36 in. of rain to New Orleans. Which fraction is equivalent to this amount of rain in inches?
Answer: 9/25 inches of rain
Step-by-step explanation: Put the decimal (0.36) over its place value (100), which turns it into 36/100. Now, simplify by dividing the numerator (36) and the denominator (100) by the greatest common factor (4), to get the answer 9/25.
a baseball player got 13 hits in 50 times at bat. what percent of her times at bat did she get a hit
Answer:
26%
Step-by-step explanation:
What single principal deposit is needed?
Answer:
It’s C
Step-by-step explanation:
What is the ratio 7 to 8 as a fraction,decimal,and percent.
Answer:
fraction: 7/8
decimal: 0.875
Percent:8.75%
Answer:
Step-by-step explanation:
The ratio of 7 to 8
as a fraction is...
7/8 (7 divided by 8)
as a decimal...
0.875
as a percent...
87.5%
*just take the decimal and move the decimal point over two places to get your percent which is out of 100
so...
0.875 * 100 = 87.5%
What do the rhombus and the parallelogram shown below have in common?
O Only opposite angles are congruent.
O Only opposite sides are parallel.
O All sides are congruent.
O Both opposite sides and opposite angles are congruent.
Answer:
Your Answer is D, Both opposite sides and angles are congruent
Step-by-step explanation:
I'm just going to write a load of BS here to see if i cant get the answer to show up so all of you wonderful people don't have to waste so much time on watching a video, so instead you can get your answer for free, and also for a proper explanation I looked this question up, didn't fund anything so I guessed and got it correct, hope this helped.
Answer:
D
Step-by-step explanation:
Divide. 5,346 ÷ 29 Enter your answer in the boxes as a mixed number in simplest form.
Answer:
[tex]190\frac{26}{29}[/tex]
Step-by-step explanation:
____190__
29 | 5346
-29 (29*100=2900)
________
2446
-232 (29*90=232)
________
26
Therefore, the answer is [tex]190\frac{26}{29}[/tex]
In the mixed form we can write → 5346 ÷ 29 as [tex]$184\frac{10}{29} .\\[/tex]
We have the following operation -
5346 ÷ 29
We have to write the result of above division in mixed form.
What is Division Algorithm ?The division algorithm says when a number 'a' is divided by a number 'b' gives the quotient 'q' and the remainder 'r' then the following relation exists-
a = bq + r
where 0 ≤ r < b.
This is also known as Euclid's division lemma.
According to the question, we have -
5346 ÷ 29
Let A = 5346 ÷ 29. Therefore -
A = [tex]$\frac{5346}{29} = 184\frac{10}{29} .\\[/tex]
Hence, in the mixed form we can write → 5346 ÷ 29 as [tex]$184\frac{10}{29} .\\[/tex]
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write the value of 50 times the sum of 64 and 36
Answer:
500 :)
Step-by-step explanation: