Answer:
(c) . 8 - ( - 1 ) = 9
. - 1 - 8 = -9
Step-by-step explanation:
- times - is equals to +a small number cannot subtract a big number, so .... And; using a number line would make it easier to understand.In order to safely land, the angle that a plane approaches the runway should be no more than 15°. A plane is approaching Ottawa Macdonald–Cartier International Airport to land. It is at an altitude of 500 m and a horizontal distance of 3 km from the start of the runway. At what angle is the plane approaching and is it safe for the plane to land?
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Answer:
9.5°, yes
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
The distance opposite the angle of elevation is the plane's height, 500 m. The distance adjacent to the angle of elevation is the horizontal distance to the plane, 3 km = 3000 m. Then the angle is found from ...
tan(α) = 500/3000 = 1/6
α = arctan(1/6) ≈ 9.46°
The plane is approaching at an angle of 9.46°. It is safe to land, since that angle is less than 15°.
_____
Additional comment
The usual descent angle for most commercial air traffic is 3°. Some airport geography demands it be different (steeper). A higher descent angle can put undue stress on the landing gear.
Help me if you don't know, don't touch it
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Answer:
(a) 628 cm³
Step-by-step explanation:
Put the given numbers into the formula and do the arithmetic.
V = πr²h
V = (3.14)(5 cm)²(8 cm) = 628 cm³
A sandwich costs $4.20 and a fruit drink costs $1.80. There is a 8% tax. How much
change will you get from a $10 dollar bill after purchasing both the sandwich and drink
(and paying tax of course)?
A. $6.48
B. $3.52
C. $3.70
D. $3.90
Answer:
B. 3.52
Step-by-step explanation:
4.20+1.80=6.00
6.00 x .08 (8% tax)=.48 tax
6.00+ .48=6.48 total cost
10.00-6.48=3.52 change from a $10 bill
A public health organization reports that 30% of baby boys 6 - 8 months old in the United States weigh more than 20 pounds. A sample of 15 babies is studied. Round the answers to three decimal places. Part 1 of 4 (a) What is the probability that exactly 5 of them weigh more than 20 pounds
Answer:
0.206 = 20.6% probability that exactly 5 of them weigh more than 20 pounds.
Step-by-step explanation:
For each baby, there are only two possible outcomes. Either they weigh more than 20 pounds, or they do not. The probability of a baby weighing more than 20 pounds is independent of any other baby, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A public health organization reports that 30% of baby boys 6 - 8 months old in the United States weigh more than 20 pounds.
This means that [tex]p = 0.3[/tex]
A sample of 15 babies is studied.
This means that [tex]n = 15[/tex]
What is the probability that exactly 5 of them weigh more than 20 pounds
This is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{15,5}.(0.3)^{5}.(0.7)^{10} = 0.206[/tex]
0.206 = 20.6% probability that exactly 5 of them weigh more than 20 pounds.
Solve for y.
O 10
O 12
O 15
O 18
Answer:
first option
Step-by-step explanation:
3x = 90 degree (being perpendicular)
x = 90/3
x = 30 degree
substitute the value of x
2x + 3y = 90 degree (being perpendicualr)
2*30 + 3y = 90
60 + 3y = 90
3y = 90 - 60
y = 30/3
y = 10 degree
Answer:
that's easy its letter a number 10
What is the value of 2 - 1.25 as a fraction?
Answer:
3/4
Step-by-step explanation:
2 - 1.25 - 0.75
0.75 = 3/4
Your answer is 3/4.
I hope this helps, have a nice day.
Answer:
[tex] \frac{3}{4} [/tex]Step-by-step explanation:
[tex]2 - 1.25[/tex]
[tex]0.75[/tex]
[tex]0 \frac{75}{100} [/tex][tex] \frac{75}{100} [/tex][tex] \frac{25(3)}{25(4)} [/tex][tex] \frac{25 \times 3}{25 \times 4} [/tex][tex] \frac{3}{4} [/tex]Hope it is helpful...The following table shows the number of classes that each teacher in the math department at Wilburton High School teaches. Find the median number of classes.
Answer:
4 classes
Step-by-step explanation:
4+3+5+9+3+4=28
28/6=4.6
What value of x is in the solution set of 2(3x - 1) > 4x - 6?
Answer:
-1
Step-by-step explanation:
Distribute
6x - 2 >= 4x - 6
2x >= -4
x >= -2
0
The circumference of a circle is 9.22cm
Find the length of the diameter.
Give your answer rounded to 2 DP.
de
cm
Answer:
Step-by-step explanation:
circumference of a circle = 2πr
9.22 cm = 2*3.14*r
9.22 cm = 6.28*r
9.22 cm /6.28 = r
1.4681 = r
diameter of a circle = 2*r
=2*1.4681
=2.9362
=2.9 cm
Answer:
The Length of diameter of circle is 2.93cm.
Step-by-step explanation:
Given :-Circumference of circle = 9.22 cmTo Find : -Length of diameter, dFormula Used :-Circumference of circle = π × dwhere , d is the length of diameterSolution:-Using formula
Circumference of circle = π × d
substitute the values
9.22 cm = π × d
Using value of π = 3.14
9.22 cm = 3.14 × d
divide each side by 3.14
9.22 cm / 3.14 = 3.14 × d /3.14
2.93 cm = d
Hence, The Length of diameter of circle is 2.93cm.
What is the slope and equation, how much battery does she lose an hour
Answer:
The slope is y=-5x+100 and she loses 5% per hour
Step-by-step explanation:
hope it helps and can you pls give me brainliest im desperate
What is the median of the data set? 32, 41,43,50,70,73,80,88
Answer:
60
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
1) Find the two middle numbers: 50 and 70.
2) Take the average of both #'s to get your answer: 60.
Solve rational equations 5/6+3/b=1/3
The measure of an angle ABC is 50°,AD bisects angle BAC, and DC bisects angle BCA. The measure of angle ADC is what?
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Answer:
115°
Step-by-step explanation:
Let A, B, C represent the vertex angle measures of ΔABC. Then the sum of angles in ΔADC is ...
A/2 +∠ADC + C/2 = 180°
Multiplying by 2 gives ...
A + C + 2×∠ADC = 360°
From the given information, we know ...
A + C + 50° = 180° . . . . . sum of angles in ΔABC
This lets us write an expression for (A +C):
A + C = 130° . . . . . . . . subtract 50° from the previous equation
Substituting for A+C, we get ...
130° + 2×∠ADC = 360°
2×∠ADC = 230° . . . . . . . . . subtract 130°
∠ADC = 115° . . . . . . . . . . . divide by 2
From her eye, which stands 1,61 meters above the ground, Savannah measures the
angle of elevation to the top of a prominent skyscraper to be 24°. If she is standing at
a horizontal distance of 340 meters from the base of the skyscraper, what is the
height of the skyscraper? Round your answer to the nearest hundredth of a meter if
necessary
Answer:
152.99 m
Step-by-step explanation:
Using the solution diagram attached below :
We can obtain the height, h of skyscraper to the position of her eye level using trigonometry ;
Tan θ = opposite / Adjacent
Tan 24 = h / 340
h = tan 24 * 340
h = 151.37775
Hence, the height will be (h + distance from eyelevel to ground)
151.37775 + 1.61
= 152.98775
= 152.99 m
Answer:
132.6 meters tall
Step-by-step explanation:
it gave me the answer
what is equivalent to 4 to the power of 3
Answer:
64
Step-by-step explanation:
because you multiply 4 by it self
I don’t get this one but the question was something about finding the equation.
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Answer:
y = -(x -3)^2 +2
Step-by-step explanation:
The vertex form of the equation for a parabola is ...
y = a(x -h)^2 +k
where the vertex is (h, k) and the value 'a' is a vertical scale factor.
The value of 'a' can be found by looking at the y-value of points ±1 either side of the vertex relative to the vertex. Here, the vertex y-value is +2 at x=3, and either side goes down 1 unit (to y=1) for 1 unit to the right or left. So, a = -1.
Using the values we've read from the graph for the vertex (h, k) = (3, 2) and the scale factor a = -1, we can write the equation as ...
y = -(x -3)^2 +2
Factor 24m - 12p + 72 to identify the equivalent expressions.
CHOOSE TWO ANSWERS!!!
A.6(4m+2p+12)
B.2(12m-6p+36)
C.12(2m-p+6)
D.24(m-12p+3)
Answer:
B and C
Step-by-step explanation:
If you take the least common factor you'd see that it could be factored to 2(12m-6p+36)
If you take the greatest common factor then it could be factored to 12(2m-p+6)
Joe has 23 carnival ride tickets and it takes 3 tickets to ride the roller coaster how many times can he ride the coaster how many tickets will he have left over
Answer:
JIKA ANDA YANG
Step-by-step explanation:
yang bales anak yang
[tex]5 { \frac{3 \frac{ + > }{?} }{?} }^{?} [/tex]
Answer:
20
Step-by-step explanation:
He has 23 carnival ride tickets and it takes 3 tickets to ride a roller coaster
so 23 - 3 = 20
Which of the following are true of linear functions? Select all that apply.
There is exactly one output for each input.
The graph of a linear function is a straight line.
A linear function can cross the y-axis in two places.
A linear function has a constant rate of change.
A linear function must cross the x-axis.
Answer:
"there is exactly one output for each input" is cotrrect
"the graph of a linear function" is correct
Step-by-step explanation:
At the beginning of the week, Josh had 323232 computer games, 133\33, percent as many computer games as Peter had. By the end of the week, Josh gave 25\%%, percent of his computer games to Peter. How many computer games did Josh and Peter each have by the end of the week
Answer:
[tex]Josh =24[/tex]
[tex]Peter = 32[/tex]
Step-by-step explanation:
Given
Beginning of Week
[tex]Josh = 32[/tex]
[tex]Josh = 133\% * Peter[/tex]
First, we calculate the amount Peter has at the beginning of the week
[tex]Josh = 133\% * Peter[/tex]
Make Peter the subject
[tex]Peter = \frac{Josh}{133\%}[/tex]
[tex]Peter = \frac{32}{133\%}[/tex]
[tex]Peter = \frac{32}{1.33}[/tex]
[tex]Peter = 24[/tex]
When Josh gave out 25%.
The number (n) of computers is:
[tex]n = Josh * 25\%[/tex]
[tex]n = 32 * 25\%[/tex]
[tex]n = 8[/tex]
This means that Josh gave out 8 computers.
So, the amount they both have is:
[tex]Josh =32 - 8[/tex]
[tex]Josh =24[/tex]
[tex]Peter = 24+8[/tex]
[tex]Peter = 32[/tex]
What is the probability of the spinner landing on 1 or 3
Answer:
Assuming there are 3 possibilities for the spinner, the answer is [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Determine whether the triangles are similar. If so, write a similarity
statement.
Answer:
[tex]\triangle FED\sim \triangle JEH[/tex]
Step-by-step explanation:
Both pairs of vertical angles formed at point E are equal. Therefore, the two triangles share two angles. If two triangles share two angles, they must also share the third angle, since the sum of the interior angles of a triangle add up to 180 degrees. Therefore, all three angles of the two triangles are equal, which is a proof of similarity. [tex]\implies \boxed{\triangle FED\sim \triangle JEH}[/tex]
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Answer:
ΔDEF ~ ΔHEJ
Step-by-step explanation:
The vertical angles at E are congruent, and the marked angles at F and J are congruent. The two triangles are similar by the AA postulate.
The given portion of the similarity statement names the angles in the order "unspecified", "vertical", and "50°". If we name those angles in the same order in the other triangle, the similarity statement becomes ...
ΔDEF ~ ΔHEJ
10. Fill in the blank to make an equal problem 2,165 + ______ + 1,678 = 6,414
Answer:
2,165 + 2571 + 1,678 = 6,414
Step-by-step explanation:
We can say;
=> 2,165 + unknown number + 1,678 = 6,414
So let's add like terms first;
=> 3,843 + unknown number = 6,414
=> unknown number = 6,414 - 3,843
=> unknown number = 2571
Hope this helps!
Answer:
2571
Step-by-step explanation:
Let x be the blank.
2165 + x + 1678 = 6414
3843 + x = 6414 (combine like terms)
x = 2571
Explain why the sum of the interior angles in a regular pentagon is 540?
Answer:
Step-by-step explanation:
formula to find the sum of interior angle of a regular pentagon is
(n-2)*180 degree
here n means no of sides .since pentagon has 5 sides replace it by 5
=(5-2)*180
=3*180
=540 degree
Two dice are thrown together. Use a tree diagram to find the probability that both numbers are less than 5
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
2 dice = 12 numbers
1, 2, 3, 4 and 1, 2, 3, 4 are less than five.
This is a total of 8 numbers.
[tex]\frac{8}{12} =\frac{8/4}{12/4}=\frac{2}{3}[/tex]
The probability that both numbers are less than 5 on throwing 2 dices is given by P ( A ) = 4/9 = 44.44 %
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the probability that both numbers are less than 5 on throwing 2 dices be represented as P ( A )
Now , the total number of outcomes for throwing 2 dices = 36 outcomes
And , out of these 36 possible outcomes, there are 16 outcomes where both numbers are less than 5
{(1,1), (1,2), (1,3), (2,1), (2,2), (2,3),
(3,1), (3,2), (3,3), (4,1), (4,2), (4,3),
(1,4), (2,4), (3,4), (4,4)}
So , the number of possible outcomes = 16
And , probability P ( A ) = 16/36
P ( A ) = 4/9
Hence , the probability is 4/9
To learn more about probability click :
https://brainly.com/question/17089724
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Consider this quadratic equation. x2 + 1 = 2x – 3 Which expression correctly sets up the quadratic formula?
A health care organization, StarCare, wants to implement a program to increase use of diabetes care services. In the past StarCare has billed insurance companies $350 per group session on cardiac care, a similar service, and thus plans to bill $350 for the diabetes group sessions. Operational expenses for the diabetes care services will be $1,000. Because StarCare is concerned with quality of services, it plans to have a consistent group size of 20 participants. However, the number of group facilitators will vary based on the number of diabetes care group participants. For every participant, it costs StarCare $300 in facilitator salary and other expenses. StarCare will only do one session if it is profitable. Based on this information, what are the (a) fixed costs for the proposed diabetes care program and the (b) the total variable costs for 20 participants?
Answer:
a) The fixed cost is $1350.
b) Total variable cost is $6000.
Step-by-step explanation:
a) The fixed cost = Operational cost + Insurance company bill.
= $ 1000 + 350 = $1350.
b) Variable cost:-
The number of facilitators = 20.
The salary for each facilitator = $300.
Total variable cost = $300 x 20 = $6000.
Write each as an algebraic expression
1) the difference of 10 and 5
3) u decreased by 17
5) x increased by 6
7) the sum of q and 8
9) twice q
11) the quotient of 18 and n
Maria has a job selling shoes, and earns a
6% commission on all sales made. How much in
commissions should Maria earn if $778.00 of
shoes are sold?
Answer:
Commission: $46.68
Step-by-step explanation:
https://www.commission-calculator.com/
By using this calculator, it shows you exactly the commission rate.
Which figure can be formed from the net?
6 cm
4 cm
4 cm
6 cm
4 cm
4 cm
6 cm
6 cm
Answer:
It's the fourth option, the bottom right one
The last one is the answer to the right. look at the base you can understand it from there, the net that shows from the question is a square base pyramid so that means you have to look for square base and that will give you the correct answer.