Answer:
The first transit on one side of the trench is 18 ft higher than the other side of the trench. The transit is set at 4.5 above ground, therefore the transit lens is 18' + 4.5' = 22.5' above the location on the other side of the trench. The angle of depression is the angle formed by the horizontal and the line of sight to the other side and it is given as 31°. This forms a right angle triangle with height of 22.5' and an interior angle of 31°, Then
tan( 31°) = Height / base, with the base representing the width of the trench
base = Height / tan(31°) = 22.5' / tan(31°) = 37.45' is the width of the trench
Answer:
So the trench is 37.5 feet wide
Step-by-step explanation:
The trench with telescope is 18 feet higher than the other.
The height of telescope is 4.5 feet.
Total height = 18 + 4.5 = 22.5
Now, we can see in the figure that the distances between telescope and the opposite trench, the height and width makes a right angled triangle.
So, perpendicular = total height = 22.5
base = wideness of the trench
We know,
Tan 31 = p/b
tan 31 = 22.5/b
b = 22.5 / 0.6
b = 37.5
8. The table below shows the number of students enrolled at Mapleton High School since 2002. Write
an equation for the line of best fit, then predict the number of students enrolled in 2011.
20022892
2003 3042
2004 | 3087
2005 3136
2006 3296
The equation for the line of best fit shows the relationship between the number of students enrolled
The equation for the line of best fit, then predict the number of students enrolled in 2011 is [tex]y = 90.2x - 177670.2[/tex]
How to determine the equation of the line of best fitTo do this, we make use of a graphing calculator that has the following calculation summary
Sum of X = 10020Sum of Y = 15453Mean X = 2004Mean Y = 3090.6Sum of squares (SSX) = 10Sum of products (SP) = 902b = 90.2a = -177670.2A regression equation is represented as:
[tex]y = bx + a[/tex]
So, we have:
[tex]y = 90.2x - 177670.2[/tex]
Hence, the regression equation is [tex]y = 90.2x - 177670.2[/tex]
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The image of the point (-2, 2) under a translation is (-3, 5). Find the coordinates of the image of the point (-3, 1) under the same translation.
A bakery sold a total of 200 cupcakes in a day, and 86% of them were mocha flavored. How many of the cupcakes sold that day were mocha flavored?
Answer:
172
Step-by-step explanation:
200 x 0.86 = 172
172 cupcakes sold were of mocha flavoured.
What is Percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, a bakery sold a total of 200 cupcakes in a day, and 86% of them were mocha flavoured.
Let the number of mocha cupcakes sold are x,
Therefore, 86% of 200 = x
x = 200*86/100
x = 2*86
x = 172
Hence, the number of mocha cupcakes sold were 172.
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What is the surface area of a rectangular prism with a length of 3 cm, a width of 10 cm and a height of 4 cm?
Answer:
120!
Step-by-step explanation:
3x10x4= (3x10)x4= 30x4=120
The surface area of a rectangular prism will be 164 square centimeters.
What is the surface area of the rectangular prism?Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as
SA = 2(LW + WH + HL)
The dimension of the rectangular prism with a length of 3 cm, a width of 10 cm, and a height of 4 cm. Then the surface area of the rectangular prism is calculated as,
SA = 2(3 x 10 + 10 x 4 + 4 x 3)
Simplify the equation, then we have
SA = 2(30 + 40 + 12)
SA = 2 x 82
SA = 164 square cm
The surface area of a rectangular prism will be 164 square centimeters.
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help me with this please I'll give branliest
Answer:complete next question:fragment
Step-by-step explanation:
complete
fragment
yeah that is all i got
what is x and y? help fast!!!!!!!
Answer:
0
Step-by-step explanation:
x and y are variables
help please! factoring polynomials
Answer:
B
Step-by-step explanation:
you can use foil and the graph,
because you can see (in the graph) that the lines intersect at 1 and 4.
just use foil to help figure out which matches the slope.
something else (the normal way) is find which 2 numbers equal to the last coefficient, in this case it can be
-2 and -2, 2 and 2, 4 and 1 or -4 and -1, multiply them and if they make up the last coefficient, and added it equals the second coefficient it is correct.
1. Round 543,829 to the nearest hundred
Answer:
543,800
Step-by-step explanation:
You have to look to the right of the hundreds place. If its 4 or below, go down if its 5 or up, the number goes up. Hope this helps! :D
TRANSLATIONS on the coordinate plane plz help me
here use this bud figure it it out
In triangle XYZ right angled at Y. Find the length of the hypotenuse if the length of the other two sides is 1.6 cm and 6.3 cm.
Answer:
6.5 cm
Step-by-step explanation:
From Pythagoras theorem
C^2= a^2 + b^2
Where a, b are the sides of the triangle
C= hypotenus sides of the triangle
two sides are given as 1.6 cm and 6.3cm respectively.
C^2= 1.6^2 + 6.3^2
C^2= 2.56 + 39.69
C^2 = 42.25
C= √42.25
C=6.5 cm
Hence, the length of the hypotenuse is 6.5 cm
How many feet are in 154 centimeters
Step-by-step explanation:
154 centimeters =
5.05249344 feet (5 feet ⅝ inch)
If one tenement on the Lower East Side of New York had 101 adults and 91 children, and there was an average of 8 persons in a tenement apartment, how many apartments did this tenement have?
Answer:
24 Apartments
Step-by-step explanation:
To get the total amount of people living in the apartment building, you add 101 and 92.
101+91=192 total people
You then divide this total by the amount of people staying in each apartment, which is 8.
192/8=24 apartments
This leaves you with 24 apartments, with 8 people living in each one.
Which of the following is a solution to the equation y=-1/4x+8 and please explain the steps.
A. (10, -8) C. (-4, 9) B. (4, 8 )D. (-8, -10)
Answer:
Answer: A. (10,-8)
Step-by-step explanation:
Y=10
X=-8
Step1. Replace the equation with the given numbers
Step2. 10=-1/4•-8+8
Step3. -1/4=-0.25
Step4. -0.25•8=2
Step5. 2+8=10
And that is how you get A.(10,-8)✌
The solution to the equation y=-1/4x+8 is (4, 8).
Thus, option (B) is correct.
Given Equation: y=-1/4x+8
A. (10, -8)
Substitute x = 10 and y = -8 into the equation:
-8 = (-1/4)(10) + 8
-8 = -2.5 + 8
-8 ≠ 5.5
B. (4, 8)
Substitute x = 4 and y = 8 into the equation:
8 = (-1/4)(4) + 8
8 = -1 + 8
8 = 8
C. (-4, 9)
Substitute x = -4 and y = 9 into the equation:
9 = (-1/4)(-4) + 8
9 = 1 + 8
9 = 9
D. (-8, -10)
Substitute x = -8 and y = -10 into the equation:
-10 = (-1/4)(-8) + 8
-10 = 2 + 8
-10 ≠ 10
Now, (4, 8) is the only point that satisfies the equation y = -1/4x + 8.
Therefore, (4, 8) is the solution to the equation.
Thus, option (B) is correct.
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1. Write the following expression with 1 base and 1 exponent. (4^6)2
solve for slope y intercept and the equation please
Answer:
y=x-5 slope=1 y-intercept=-5
Step-by-step explanation:
15/2 × 56L Tell the answer fast it's urgent.
Answer:
420 is the answer
Step-by-step explanation:
15/2 * 56L =
l = 15/2 = 7.5
7.5 * 56 = 420
Answer:
420
Step-by-step explanation:
Attached below
Which of the following describes the vertical shift up or down of a trig. function graph?
a) amplitude
b) midline
c) frequency
d) period
Answer:
Step-by-step explanation:
a) amplitude is the answer
please like if i helped you.
Describe how you would test a sample of food to show it contains protein.
Give the reason for any safety precautions you would take.
PLEASE HELP
Step-by-step explanation:
Iodine test for starch
Method:
Place one spatula of the food sample on a dish or 1 cm3 if the sample is liquid.
Using a dropper, place a few drops of iodine solution onto the food.
Record any change in the colour of the solution.
Starch is detected using iodine solution. This turns blue-black in the presence of starch.
Find the area of this circle . Use 3 for pi
Answer:
588
Step-by-step explanation:
3 x 14 x 14 ( or 14^2) is 588
hope this helped!!
If your driving 60miles an hour and you drive for 1hour how far do you travel?
Answer:
60 miles
Step-by-step explanation:
1 hour=60 miles
1 hour=60 miles
If Brooke and her friend can bake 24 batches of brownies in 8 hours, and they both work 40 hours in one week, how many batches of brownies can they bake that week? If Brooke still charges $2.00 a batch, how much money will they make that week?
Answer:
Step-by-step explanation:
40hr(24b/8hr)=120b so they make 120 batches
120b($2/b)=$240 so they make $240 together (or $120 each)
Can someone solve 7x+2x+3
step by step
Answer:
9x+3
Step-by-step explanation:
first you add common variables like 7x plus 2x and get 9x. since 3 does't have a common variable it is just 3 therefor you answer would be 9x+3
Starting : 7x+2x+3
combine like terms 7x+2x=9x
youre left with 9x+3
The range is the set of?
Answer:
I think you forgot to attach the file...
Step-by-step explanation:
Answer:
difference between the lowest and highest values.
For 15 points, answer this simple question
the area of a rectangular room is 150m.if its breadth is 10cm.then find its length
The members of the Pedal Pushers Bicycle Club have traveled 134.8 miles of a 200-mile trip. How many more miles do they have to go?
Answer:
65.2
Step-by-step explanation:
200-134.8=65.2
$ 900 in a saving account earns 15% interest, compounded annually. What is the balance after 6 years?
I used to do these but I forgot
Write the next three terms of the geometric sequence.
16,8,4,2
1,1/2,1/4
Step-by-step explanation:
Was
50 POINTS WILL MARK BRAINLIEST NEED ANSWER ASAP
How would the graph of f(x) = −3(x + 2)2 − 5 be affected if the function was changed tof(x) = 1/2(x − 2)2 − 5? Select ALL that apply.
Question 5 options:
It would change from opening up to opening down.
It would change from opening down to opening up.
It would shift four units to the right.
It would shift four units to the left.
It would shift four units up.
It would shift four units down.
It would become wider.
It would become narrower.
Answer:
Don't understand..........
Answer:
This is your answer. Good luck and I hope I've helped! :)
need help dont know which one to chose
Answer:
the answer to this problem is A