5+a-4√(a+1)/(a-3) is the simplified form of the number. This can be obtained by multiplying numerator and denominator with conjugate of the denominator.
Simplify the number:Given the number,
√a+1-2/√a+1+2
Denominator = √a+1+2
Conjugate of the denominator = √a+1 - 2
Now, (√a+1-2)(√a+1 - 2 )/√(a+1+2)(√a+1 - 2 )
=(√a+1 - 2 )²/(√a+1)² - 4
=(a+1 -4√a+1+5)/(a+1-4)
=5+a-4√(a+1)/(a-3)
Hence 5+a-4√(a+1)/(a-3) is the simplified form of the number.
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An observer (O) spots a bird flying at a 42° angle from a line drawn horizontal to its nest. If the distance from the observer (O) to the bird (B) is 17,000 ft., how far is the bird (B) from its nest (N)? Round to the nearest whole number. (4 points)
A right triangle B N O is shown with angle B marked 42 degrees, side B N marked x and side B O marked 17000 feet.
a
11,375 feet
b
12,633 feet
c
14,862 feet
d
15,307 feet
Answer:
12,633 feet
Step-by-step explanation:
The horizontal distance between the observer and the bird's nest is
b. 12,633 feet
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, An observer (O) spots a bird flying at a 42° angle from a line drawn horizontally to its nest.
The hypotenuse distance which is from the observer's eye to the bird's nest is 17000ft and we need the horizontal distance or the distance of the adjacent.
∴ , cos = adjecen/hypotenuse.
cos42° = adjacent/17000.
adjacent = 17000×cos42°.
adjacent = 17000×0.743.
adjacent = 12631 feet.
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I NEEDS SOME HELP PLS WITH THESE TWO QUESTIONS
♀️
i need the type of properties
Answers:
Distributive PropertyInverse PropertyIdentity PropertyAssociative PropertyCommutative PropertyMultiplication Property of Zero=========================================================
Explanations:
The distributive property is a*(b+c) = a*b+a*c. We multiply the outer term 'a' by each term inside (b and c), then add up the results. In this specific case, we are multiplying the outer 2 by x and 3. So that's why 2(x+3) = 2x+2*3 = 2x+6. The concept of factoring takes this process in reverse, so we go from 2x+6 to 2(x+3).The inverse property, specifically the additive inverse property, is where we can add any number to its negative counterpart to always get 0. The expression 2+(-2) is the same as 2-2. We can think of it like "we're on the 2nd floor and we go down 2 floors to end up on floor 0". In general, the additive inverse property is x+(-x) = 0, which is the same as -x+x = 0.We can multiply any number by 1, to get the same number. So that's why 1*x = 1x = x. Similarly, x*1 = x as well. This is the multiplicative identity property, often shortened to "identity property".The parenthesis shifted around, so this means we'll use the associative property. In general, that is a+(b+c) = (a+b)+c.We can multiply two numbers in any order. The general format is a*b = b*a. This is the commutative property of multiplication. The version for addition is a+b = b+a.Multiplying 0 by any number leads to 0. So we could have the most complicated expression thought possible, but if we multiply it by 0, then the whole thing goes to 0. At the end of this complicated expression is where the 0 is buried. This idea is useful when it comes to the zero product property where if A*B = 0, then either A = 0 or B = 0 or both are the case.There are 22 third-graders in Sally's town. If there are 4 more boys than girls, how many girls are there?
Answer:
22-4=18
Step-by-step explanation:
Answer:
9 girls
Step-by-step explanation:
First we know from the information there are 22 kids in total.
Next we know 11+11=22 so one number would be 2 more than the other.
So 13+9=22
Therefore, there is 9 girls in Sally's town.
find the value of x and round to the nearest tenth (geometry)
Answer and Step-by-step explanation:
Just flip the triangle upside down, to make it look more sense.
(Angle) 17
|\
x | \ 47
|__\
We will use the sine trig function to solve for x.
sin(17) = [tex]\frac{x}{47}[/tex]
Multiply by 47 to both sides.
47(sin(17)) = x
Now input into a calculator and solve.
x = 13.74147012
x ≈ 13.7 is the answer.
On Mars, 3 bags of MartianMallows cost 24 space rocks. If each bag contains 10 MartianMallows, how many space rocks does four MartianMallows cost? Express your answer as an improper fraction.
Answer:
16/5
Step-by-step explanation:
If each bag contains 10 MartianMallows, then 3 bags contain (3)(10)=30 MartianMallows. Since we know that the cost of 30 MartianMallows is 24 space rocks, we can set up the proportion 24/30=s/4, where s is the cost of four MartianMallows. Solving for s, we find that s=24/30*(4)={16/5 space rocks.
Answer:
16/5
Step-by-step explanation:
If each bag contains 10 MartianMallows, then 3 bags contain (3)(10)=30 MartianMallows. Since we know that the cost of 30 MartianMallows is 24 space rocks, we can set up the proportion 24/30}= s/4, where s is the cost of four MartianMallows.
Solving for s, we find that s=(24/30)x4= 16/5 space rocks.
16/5
Please help!!! Have been stuck on this problem for the past hour. can someone be so kind and explain it to me. I have a Quiz tomorrow on this. solving systems using substitution y = - 7y + 3; Y+ 7x = 10
Answer:
Step-by-step explanation:
y = -7x+3
substitute -7x+3 for y in the other equation.
y + 7x = 10
(-7x+3) + 7x = 10
3 = 10, a contradiction, so there is no solution.
If you were to graph both equations, you would see that they are parallel lines. There is no point that belongs to both lines, so there is no (x,y) that satisfies both equations.
Help me plsssssssssssssssssssssss
Anybody gets this question ???
Answer:
7
Step-by-step explanation:
Can I have Brainliest please?
Translate the sentence into an equation.
Six more than the product of a number and 3 is 2
Answer:
3X+6=3
Step-by-step explanation:
six more can added before or after of the product of a number X and 3. substitute is by =
3x×6=3
The difference of two numbers is 2 their sum is 22 what are the numbers
12+10=22
12-10=22
is the two numbers whose sum is 22 and difference is 2.
Helppppppp me with question 5 Tuesday pleaseeeeee
Answer:
n=19
Step-by-step explanation:
5+14=n
19=n
John's house is 10 miles from the grocery store. if a map uses a scale of 0.5 inches = 4 miles, how far apart, in inches, how far apart, in inches, would his house and grocery store be on the map?
Answer:
1.25 inches
Step-by-step explanation:
2 miles would be 0.25 inches. 8 miles would be 1 inch. 8+2 is 10, 1 + 1.25 is 1.25.
Simplify n ⋅ n⋅ 2n
someone please help thanks
Answer:
the answer would be:
[tex]2n^3[/tex]
Hope that helps! :)
Step-by-step explanation:
Help plz:)))I’ll mark u Brainliest
An automobile manufacturer claims that its car has a 37.2 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this car since it is believed that the car has an incorrect manufacturer's MPG rating. After testing 120 cars, they found a mean MPG of 37.1. Assume the standard deviation is known to be 1.1. A level of significance of 0.05 will be used. Make a decision to reject or fail to reject the null hypothesis.
Answer:
fail to reject the null hypothesis
Step-by-step explanation:
Based on the information provided I would fail to reject the null hypothesis. This is because the Miles per gallon that the independent testing firm has concluded for the car nearly matches the car's MPG claim. The difference being 0.1 . Since the standard deviation is 1.1 for this test, this means that the average falls perfectly within this range and makes the data very compelling. Combine this with a very low level of significance, I would say that the claim is backed by the data.
A woman buys a pair of shoes at a sale. She pays $45, saving $15 on the normal price. The percentage discount on the pair of shoes is
Step-by-step explanation:
this is the answer i hope to get full mark
Wednesday, a local deli offered a lunch special consisting of a ham or roast beef sandwich with or without American cheese on toast, a roll, or a bagel. Thursday, the owner of the deli decided to offer customers the same options of meat and bread but let customers choose to have their sandwiches with or without either American or Swiss cheese.
How many more one meat, one cheese, one bread sandwich combinations are offered Thursday than Wednesday?
1
6
12
18
I think that A would be the correct answer.
What is the theoretical possibility of getting one heads and one tails in 2 coin drops with the possibility of it being HH, HT, TT? (heads and heads, heads and tails, tails and tails.)
(please help)
Answer:
2.29*20 = 45.80 and 3.49*35 = 122.15.2.29*20 = 45.80 and 3.49*35 =
Step-by-step explanation:
Answer:
48/100
Step-by-step explanation:
because since the tails side is heavier, it is a 51% that it will land on talies and a 49% that it will land on heads.
fill in the blanks #7 and #8 plzzzzz
Answer:
7.Always 8.Never
Step-by-step explanation:
7. A linear pair are 2 angles that forms 180 degree angles. Supplementary Angles are angles that form 180 degrees. 180=180 so it is always
8. Vertical angles share a common vertex but like adjacent angles but unlike vertical angles they dont overlap so Vertical angles are non adjacent angles.Also adjacent angles aren't always equal either. So never
Se all of the expressions that are equivalent to 2k +2+k+3+ 2k.
Answer:
5k+5
Step-by-step explanation:
Combine Like Terms:
=2k+2+k+3+2k
=(2k+k+2k)+(2+3)
=5k+5
How do I solve for x correctly?
Answer:
x = 3
Step-by-step explanation:
[tex] \triangle TFG\sim \triangle TUV... (given) [/tex]
[tex] \therefore \frac{FG}{UV}=\frac{TG}{TV} ... (csst) [/tex]
[tex] \therefore \frac{45}{63}=\frac{10x+5}{49} [/tex]
[tex] \therefore \frac{5}{7}=\frac{10x+5}{49} [/tex]
[tex] \therefore 10x+5= \frac{5\times 49}{7} [/tex]
[tex] \therefore 10x+5=5\times 7 [/tex]
[tex] \therefore 10x+5=35 [/tex]
[tex] \therefore 10x=35-5 [/tex]
[tex] \therefore 10x=30 [/tex]
[tex] \therefore x=\frac{30}{10} [/tex]
[tex] \therefore x=3[/tex]
Which statement is not true? Help ASAP! Thanks!!
Answer:
4 option...... .......
Which fraction is greater?
Answer:
1/2
Step-by-step explanation:
Which of the following has the ability to line- item veto a law? A Governors b. The president C. Mayors can you help me please
What is the solution to the equation 37x = 9x + 4?
-7
-1/7
1/7
7
Answer: The solution is C. 1/7.
Step-by-step explanation: Just plug 1/7 as x. You will find that the statement is true when you plug in 1/7.
Which of the following graphs represents a function that has a negative
leading coefficient? Check all that apply.
---
A. Graph A
B. Graph B
C. Graph C
D. GraphD
Answer: a, b, and c
Step-by-step explanation:
Hence, the price of the routes is € 244. Graph A, Graph B, and Graph C are the graphs with negative coefficients.
What is a polynomial graph equation?At different x-intercepts, graphs exhibit varying behaviours. On occasion, the graph will intercept the x-axis and cross it. On occasion, the graph will contact the x-axis and then deviate from it.
Determine the polynomial functions' zeros' even and odd multiplicities.
Plot the graph of a polynomial function using end behaviour, turning points, intercepts, and the Intermediate Value Theorem.
For zeros with even multiplicities, the graphs intersect or are tangent to the x-axis at these x-values. These x-values for zeros with odd multiplicities are where the graphs overlap or meet the x-axis.
Given the data,
Let A, B, C, and D represent the graph.
Currently, the graphs' measurements are
A cubic function that is pointing in the direction of a negative value is used to illustrate the first graph.
Hence, it has a negative coefficient.
The second graph is a parabola as well. It opens downward, which indicates that the leading coefficient is adverse.
The third graph is a linear one that is now tilted downward.
Thus, it has a low efficiency.
Hence , the graphs are solved
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Cameron combined peanuts, cashews and walnuts to make a trail mix. The expression 16p+24c+32w represents the total number of nuts in the mix. Cameron wants to divide the trail mix into equal servings, but he does not know how many. Use factoring to write expressions that will help Cameron divide the trail mix into 4 servings or 8 servings.
72 nuts mix the trail 4 ➕ 8
Answer:
Step-by-step explanation:
What is the volume of a pyramid container if the area of its base is 100 square inches and its height is 5 inches
Answer:
V≈166.67
Step-by-step explanation:
V=ABh
3=100·5
3≈166.66667
Answer:
166 2/3
Step-by-step explanation:
The formula to solve for the volume of a pyramid is lwh/3. Plug those numbers in and you'll get 10*10*5=500/3 = 166 2/3.
Solve for X please show your work
6(x-4)=12
Emplea los signos <, > o =, según corresponda
Answer:
1.≤
2.≤
3.≤
4.≤
5.≤
6.≤
Step-by-step explanation:
di po ko sure kung tama po yan