Reuben attached a wire between two poles on a hill as shown which is the closest to x the distance between the two poles
Answers
Answer:
75 ft
Step-by-step explanation:
Here we are given a right angled triangle with a known angle of 20°, length of the hypotenuse to be 80 and we are to find the length of the base x.
For that, we can use the formula for cosine for which we need an angle and the lengths of base and hypotenuse.
[tex]cos \alpha =\frac{base}{hypotenuse}[/tex]
So putting in the given values to get:
[tex]cos 20=\frac{x}{80} \\\\x= cos 20*80\\\\x=75.17[/tex]
Therefore, the value of x is the closest to 75 ft.
Related Questions
Write an expression for
Answers
Answer: 6x - 18 (choice C)
Angle TSR is the same as angle RST. The order of the letters doesn't matter as long as the middle letter is the same (known as the vertex point).
Segment SQ bisects angle RST, so that means the two smaller pieces (angle TSQ and angle RSQ) are exactly half in measure compared to angle RST. Put another way, angle RST is twice that of angle RSQ
So,
angle RST = 2*(angle RSQ)
angle RST = 2*(3x - 9)
angle RST = 2*(3x) + 2*(-9)
angle RST = 6x - 18
What are the solutions to the quadratic equation 4x2 = 64?
x = −16 and x = 16
x = −8 and x = 8
x = −4 and x = 4
x = −2 and x = 2
Answers
Answer:
x = −4 and x = 4
Step-by-step explanation:
4x² = 64
Lets get x² on its own. To do this we divide each sides by 4:
x² = 16
Now to get just x, we need to square root this answer:
√x² = √16
x = √16
x = 4
But this can be ±4 as it -4 and 4 squared both give 16.
So your answer is x = −4 and x = 4
Hope this helps!
Answer:
x = −4 and x = 4
Step-by-step explanation:
c on edg
Find the slope of the line between points A and B. Simplify your answer.
-2
2
-1
1
Answers
Answer:
-2
Step-by-step explanation:
From the given graph, the point A(1, -4) and B(-1, 0)
Slope (m) = (y2 - y1) / (x2 - x1)
x1 = 1, y1 = -4, x2 = -1 and y2 = 0
Slope (m) = (0 - (-4))/(-1 - 1)
= 4/-2
Slope = -2
Thank you.
Can someone pls help me. Find the illegal values of c in the multiplication statement.
Answers
Answer:
c ∈ {-7, -3, 2, 5}
Step-by-step explanation:
"Illegal" values are those values that make the expression undefined—that is, they make the denominator zero.
The denominator of the product factors as (c+7)(c-2)(c-5)(c+3), so the values of c that will make this product zero are ones that make the factors zero:
... c = -7, +2, +5, -3
_____
Comment on factoring
Each of the quadratics is factored by finding two factors of the constant whose sum is the coefficient of the linear term. You want ...
... factors of -14 = -1·14 = -2·7 . . . . that add to give +5. They are -2 and 7, so the quadratic factors as (c-2)(c+7)
... factors of -15 = 1·(-15) = 3·(-5) . . . . that add to give -2. They are 3 and -5, so the quadratic factors as (c+3)(c-5).
Donovan eats 2 granola bars and drinks 1 glass of orange juice for breakfast every day. The price of a granola bar is B dollars and the price of a glass of orange juice is J dollars. The expression 7(2B+J) describes how much Donovan spends on breakfast in one week. What does 2B represent in the expression?
Answers
Answer:
# of granola bars and it's cost.
Step-by-step explanation:
It is asking for the meaning of 2B. Note that inside the question, it states that:
"The price of a granola bar is B dollars".
It also states that:
"Donovan eats 2 granola bars".
This means that to solve for the total spent on granola bars, you multiply the price (B) with the amount gotten (2 in this case).
~
Answer:
2B
Step-by-step explanation:
Means the amount Donovan spends on granola bars each day. Since he has 2 granola bars and the price is B dollars.
Someone please help I don’t understand
Answers
Answer:
D 2n+2
Step-by-step explanation:
We can check the slope of the function
m = (y2-y1)/(x2-x1)
= (10-8)/(4-3)
= 2/1
The slope is 2
We can use the point slope form of a line to calculate the equation for a line
y-y1 = m(x-x1)
y-2 = 2(x-2)
Distribute
y-6=2x-4
Add 6 to each side
y-6+6 = 2x-4+6
y = 2x+2
please help!!! I am so confused
Answers
The exercise is asking you to compute the volume of five different spheres and cylinders, choosing 5 different random values.
Remember the formulas for the volumes: given a radius [tex] r [/tex], the volume of the sphere is
[tex] \dfrac{4}{3}\pi r^3 [/tex]
Whereas the volume of the cylinder is
[tex] \pi h r^2[/tex]
In this specific case, you're told that the height of the cylinder is the same as the diameter of the sphere (i.e. twice the radius). So, the formula of the cylinder updates to
[tex] \pi (2r) r^2 = 2\pi r^3 [/tex]
So, all you need to do is to pick 5 random numbers, use them as the radius [tex] r [/tex], and for each of them compute the volume and cylinder sphere as indicated above.
For example, if you choose a radius [tex] r=5 [/tex], you will have
[tex] \text{Sphere: } V = \dfrac{4}{3}\pi 5^3 = \dfrac{500\pi}{3} [/tex]
[tex] \text{Cylinder: } V = 2\pi 5^3 = 250\pi [/tex]
Now choose your 5 random values and do the same!
i need help plz plz plz help me. ASAP. and plz type your reasoning.
Answers
C = 2.00r +20
Step-by-step explanation:The coefficient is the multiplier of r, the cost of each ride. If it has gone down by $0.50, then its new value is ...
... 2.50 -0.50 = 2.00
The constant in the equation is the initial cost of the wristband. It is the value of C when r=0. If it has gone up by $5, its new value is ...
... 15 + 5 = 20
Help plzzzzz I don’t know this
Answers
Answer:
$6
Step-by-step explanation:
The graph shows you that 4 pounds of apples (and no cranberries) can be purchased for $24. Thus each pound costs ...
... $24/(4 pounds) = $6/pound
So $24/4=6
6 pounds
Joshua solved this problem. He says the answer is 489 yards. Joshua had 359 yards of his fishing line in the water. Then he reeled in 113 yards of his line from the water. How much of Joshua’s fishing line was still in the water? Solve the problem. Is Joshua’s answer reasonable?
Answers
Joshua’s answer is wrong because he did not add any more fishing line to the water.
The correct answer to the subtraction problem is 246 yards of Joshua's fishing line remaining in the water after reeling in 113 yards out of 359 yards. Joshua's initial answer of 489 yards is incorrect.
The student is asking for verification of Joshua’s solution to a subtraction problem that involves determining how much fishing line remains in the water after some has been reeled in. Joshua initially had 359 yards of line in the water and reeled in 113 yards. To find the remaining length of the line in the water, we subtract the length of the line reeled in from the initial length.
Step-by-Step Explanation
Start with the initial length of the fishing line in the water: 359 yards.
Subtract the length of the line that was reeled in: 113 yards.
Perform the subtraction: 359 yards - 113 yards = 246 yards.
So, the length of the fishing line that remained in the water was 246 yards.
Joshua’s answer of 489 yards is not reasonable because it does not reflect the correct subtraction (359 - 113 = 246). The correct answer is 246 yards still in the water.
Determine the slope of the line that is perpendicular to the line y = -7x - 12.
Select one:
A. 17
B. −3
C. −7
D. −12
Answers
A. 1/7
Step-by-step explanation:The slope of the given line is the coefficient of x, -7. The slope of a perpendicular line will be the opposite reciprocal of that:
... -1/(-7) = 1/7 . . . . . seems to match selection A
_____
Comment on the answer choices
We assume this question suffers from a problem seen often on Brainly where questions and/or answers are copied and pasted without any follow-up editing to make sure the copy is faithful. Often, math symbols are special characters that get filtered out in the process.
The fraction bar commonly comes up missing. Here, that makes 1/7 look like 17, which makes the correct answer look like "none of the above."
Geo usually drinks 36 ounces of water per day. He read that he should drink 64 ounces of water per day. If he starts drinking 64 ounces, what is the percent increase? Round to the nearest percent.
Answers
78%
Step-by-step explanation:The percentage change is calculated from ...
... percent change = ((new amount) -(old amount))/(old amount) × 100%
... = (64 -36)/36 × 100%
... = 28/36 × 100%
... ≈ 0.78 × 100%
... ≈ 78%
Find a recursive formula for the sequence:
1, -1, -7, -25
Answers
[tex]a_n=3a_{n-1}-4[/tex]
Step-by-step explanation:Try the answers
You can try the answers to see what works. You can expect all of the choices to match the first two terms, so try some farther down. Let's see if we can get -25 from -7.
a) 3*(-7) -4 = -21 -4 = -25 . . . . this one works
b) -7 -2 = -9 . . . . ≠ -25
c) -3(-7) +2 = 21 +2 = 23 . . . . ≠ -25
d) -2(-7) +1 = 14 +1 = 15 . . . . ≠ -25
The formula that works is the first one.
_____
Derive it
All these formulas depend on the previous term only, so we can write equations that show the required relationships. Let the unknown coefficients in our recursion formula be p and q, as in ...
[tex]a_n=p\cdot a_{n-1}+q[/tex]
Then, to get the second term from the first, we have
... 1·p +q = -1
And to get the third term from the second, we have
... -1·p +q = -7
Subtracting the second equation from the first gives ...
... 2p = 6
... p = 3 . . . . . . . this is sufficient to identify the first answer as correct
We can find q from the first equation.
... q = -1 -p = -1 -3 = -4
So, our recursion relation is ...
[tex]a_n=3a_{n-1}-4[/tex]
There are 70,000 bacteria present in a culture. An antibiotic is introduced to the culture and the number of bacteria is reduced by half every 4 hours. What will be the population in 24 hours
Answers
1,094 bacteria
Step-by-step explanation:There are 6 periods of 4 hours in 24 hours, so the population will be multiplied by 1/2 6 times. That is, it will be multiplied by (1/2)^6 = 1/64.
The population then will be ...
... 70,000/64 ≈ 1094
In the figure, BCND is a rectangle and CGNR is a rhombus. The area of BCND is 90 and BC = 10. What is 3GR?
Answers
Answer:
[tex]3GR=27[/tex]
Step-by-step explanation:
Since area of rectangle BCND is given as 90 and one of its side is 10, the other side MUST be 9.
[tex]CN*BC=90\\CN*10=90\\CN=9[/tex]
In Rhombus CGNR, CN and GR are congruent (property of Rhombus). Hence GR = 9 as well.
Thus 3GR = 3(9) = 27
First answer choice is right.
HELP MEEEEEEEEEEE PLEASE!
Answers
Answer:
55,900 cm²
Step-by-step explanation:
The area of a triangle is half the product of its base and height.
... A = (1/2)·b·h
... = (1/2)(430 cm)(260 cm)
... = 55,900 cm²
Use the APR table in the Business Math Handbook to estimate the APR for the following installment purchase. You received a $2,000 rebate that brought the price of your car down to $20,000; the financing was for 48 months, and your total interest was $3,279.
Answers
7.65%
Step-by-step explanation:There are 200 times $100 in $20,000, so the interest amount per $100 is ...
... $3,279/200 = $16.395 per hundred
In the row of the given table corresponding to 48 months, the smallest amount of interest listed is $23.48 per $100. The APR on the loan of concern is clearly less than 10.75%.
A financial calculator says the interest rate on a loan of $20,000 with 48 monthly payments of ($20,000 +3,279)/48 = $484.98 is about 7.65%.
At the book store, a bag of chips sells for $2.30 each and candy sells for 1.23 each. You have $23 to spend. Write an equation to describe this situation. What does the y represent? What does the x represent?
Answers
Answer:
2.3x + 1.23y = 23
Step-by-step explanation:
The bag of chips is x because it is getting multiplied by 2.3.
The candy is y because it is getting multiplied by 1.23.
The reason they equal 23 is to figure out the maximum amount of each snack you can get without going over the money limit.
m∥n, m∠1 = 50°, m∠2 = 48°, and line s bisects ∠ABC. What is m∠3?
Answers
49°
Step-by-step explanation:∠DEF = ∠1 +∠2 = 50° +48° = 98°
∠ABC = ∠DEF because they are alternate exterior angles, hence congruent.
∠3 = ∠4 because they are vertical angles.
∠3 = (1/2)∠ABC = (1/2)·98° . . . . . ∠4 is half of ∠ABC
∠3 = 49°
The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than a certain number of inches.
Sketch and label the sides of this rectangle. Use an algebraic expression to represent the length of the long sides.
Answers
Let x be the certain number of inches mentioned in the problem. So, three less than this quantity is [tex] x-3 [/tex]
This means that you have to sketch a rectangle labelling the short side with 2, and the long sides with [tex] x-3 [/tex]
2. At Fly-Right Airlines, passengers are informed that checked bags must weigh 40 lb or less, or they will have to pay a fee for an oversized bag. (a) Write an inequality that represents the weight of a checked bag that will not result in a fee. Let w represent the weight of the bag. (b) Are there any solutions to the inequality that do not make sense for this situation? Explain.
Answers
Answer:
see below
Step-by-step explanation:
a) w <= 40 lbs
b) Do you have any bag that weigh 0 lbs or negative lbs?
We need to rewrite the inequality so that these are not there
0<= w <= 40 lbs
i will give brainlest answer quickly please
Answers
since the opposite and adjacent lines are used, you need to use some to solve for x.
the answer is sine.
The correct answer is A which is sine.
Step-by-step explanation:
The variable [tex]x[/tex] is opposite to the known angle and the known side length which is the hypotenuse.
Recall the mnemonics SOH, which means that,
the sine ratio involves the length of the opposite side and the hypotenuse.
That is,
[tex]\sin50\degree=\frac{opposite}{hypotenuse}[/tex]
[tex]\sin50\degree=\frac{x}{2}[/tex]
We can use this to solve for [tex]x[/tex].
If zb⊥ya , find m
A. 28
B.46
C.56
D.62
I'll give you brainliest
Answers
A. 28
Step-by-step explanation:We assume m is the measure of the marked unknown angles: ∠BZY ≅ ∠BZA
(5x +3)° = (2x +18)°
Divide by ° and subtract 2x+3:
... 3x = 15
... x = 5
Then ∠BZA = (2·5 +18)° = m = 28°
adult tickets to the fall play cost $8 and student tickets cost $4. The drama calss sold 20 more adult tickets than student tickets to the fall play. If the class collected $880 from ticket sales, how many adult tickets were sold?
Answers
Answer:
80 adult tickets were sold
Step-by-step explanation:
If you subtract the extra 20 adult tickets from ticket numbers and revenue, you get ...
equal numbers of $4 and $8 tickets were sold for a total of $720 collected
Since that is some number of ticket pairs worth $12 per pair, there must have been ...
$720/12 = 60 pairs of $4 and $8 tickets
The number of adult tickets is 20 more than this, so is
60 + 20 = 80 . . . . adult tickets sold
_____
If you feel better with an equation, rather than numerical reasoning, you can let n represent the number of adult tickets. Then n-20 is the number of student tickets and total revenue is ...
8n +4(n-20) = 880
12n -80 = 880 . . . . . simplify
12n = 960 . . . . . . . . . add 80
n = 80 . . . . . . . . . . . . divide by 12
_____
Comment on the different solutions
Using n for the number of adult tickets, we effectively chose a scenario where we added 20 student tickets to bring the total to $960 for some number of $12 pairs of tickets. That number is 80, the number of adult tickets.
In the "word solution" given at first, we effectively solved for the number of student tickets, then added 20 to get the number of adult tickets. The corresponding equation would be ...
4s +8(s+20) = 880 . . . s = number of student tickets sold
12s = 720 . . . . . . . . . subtract 160, the price of the 20 extra adult tickets
D 0,-2(x, y)(3, 5). The point (x, y) is: (1, 3) (-3/2, -5/2) (-6, -10)
Answers
Answer:
(-3/2, -5/2)
Step-by-step explanation:
When a point is dilated about the origin, each coordinate value is multiplied by the dilation factor. You seem to have ...
... -2x = 3 ⇒ x = -3/2
... -2y = 5 ⇒ y = -5/2
_____
In each case, you solve the linear equation by dividing by the coefficient of the variable.
5x^6–3x^2+7–2x^6–3x^6+4x^2 for x=−10
Answers
Answer:
107
Step-by-step explanation:
These are easier to do if you simplify them first.
... = x^6(5 -2 -3) +x^2(-3 +4) +7
... = x^2 +7
For x = -10, this is
... (-10)^2 +7 = 100 +7 = 107
Joseph needs to find the quotient of 3216/8. In what place is the first digit in the quotient????
Answers
Answer:
hundreds
Step-by-step explanation:
The quotient of 3216/8 is 402. 4 is the first digit, and is in the hundreds place.
Which number completes the Pythagorean Triple of 14, 48, x?
Answers
50
Step-by-step explanation:These numbers are double those of the (7, 24, 25) triple. 2×25 = 50.
You can also figure it out from ...
... x = √(14² +48²) = √(196 +2304) = √2500 = 50
Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).
Answers
Try this option. Answer: 72+18π
Step-by-step explanation:
Formula is:
Area= 2*Area_of_two_squares + 1/2 *Area_of_the_circle, where
Area_of_1_square=6*6=36 cm²;
Area_of_the_circle=π*6²=36π cm²;
finally, according to the formula above Area=2*36+0.5*36π=72+18π
Answer:
Step-by-step explanation:
72+18pi
Factor completely −5x2 + 10x − 15. −5(x2 − 2x + 3) −1(x2 − 10x + 15) −5x(x2 − 2x + 3) −5(x2 − 2x − 3)
Answers
Answer:
-5(x² -2x +3)
Step-by-step explanation:
5 is a factor common to all of the coefficients. It is convenient to have the x² coefficient be positive in the factored form, so the result of factoring out -5 is ...
... -5((-5x²/-5) +(10x/-5) +(-15/-5)) = -5(x² -2x +3)
Answer:
-5(x² -2x +3) your welcome
Step-by-step explanation: