Two Identical Buildings stand parallel on opposite sides of a road. Find the angle of depression from A to B
Answers
Answer:
8.7°
Step-by-step explanation:
The above problem can be represented by a right angled triangle with height of 7 m, hypotenuse = AB.
The base of the triangle is gotten by finding the diagonal of the road. That is using Pythagoras theorem:
base² = 43² + 15²
base² = 2074
base = 45.54 m
Using trigonometric function to find angle A:
tan(A) = base / height
tan(A) = 45.54 / 7
tan(A) = 6.506
A = tan⁻¹ (6.506)
A = 81.3°
Angle of depression = 90° - A = 90 - 81.3
Angle of depression = = 8.7°
Related Questions
Find two integers whose sum is -9 and product is 14
Answers
-7 + -2 = -9
-7 * -2 = 14
If 3/10 = 30/100, then 4/10 = ___/100
Answers
Answer:
40/100
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
If 3/10 = 30/100, then 4/10 = 40/100
Lila decided to make more baked goods for the bake sale. She used 1/8 less flour to make bread to make cookies. She used 1/4 more flour to make cookies than to make brownies. If she used 1/2 of flour to make the bread, how much flour did she use to make the brownies. Explain your answer.
Answers
Answer:
3/7 cup
Step-by-step explanation:
Ignore the units for the time being. Just to give it units, you could call it cups. This question is really about ratios.
Let the cookies = x
Then the bread = x - 1/8 x = 7/8x
The brownies = cookies - 1/4 cookies
The brownies = 3/4 cookies = 3/4 x
==============
Now start again.
The bread uses 1/2 cup.
That translates into 1/2 = 7/8 x
x = 1/2 // 7/8 = 4/7 cup for the cookies (4/7 is larger than 1/2)
Whatever the cookies are, the brownies take 3/4 as much
4/7 * 3/4 = 12/28 = 3/7
The answer should be 3/7 of a cup.
9514 1404 393
Answer:
3/8 lb
Step-by-step explanation:
If all units are pounds, then we have ...
bread = cookies - 1/8 lb
cookies = brownies + 1/4 lb
bread = 1/2 lb
Using the last value in the first equation, we find ...
1/2 lb = cookies - 1/8 lb
cookies = 5/8 lb . . . . . . . add 1/8 lb to both sides
Using this in the second equation gives ...
5/8 lb = brownies + 1/4 lb
3/8 lb = brownies . . . . . subtract 1/4 lb from both sides
__
Lila used 3/8 lb of flour to make the brownies.
6 more than 7 times 3 ?
Answers
Answer:
27
Step-by-step explanation:
Need help in math!!!!!!!!
Answers
Answer:
1.9x+2(1.5)>30
Step-by-step explanation:
1.9(15)+2(1.5)
28.5+3
31.5 dollars
therefore the equation is grater than 30 dollars
3 Times Square root of 200 simplified
Answers
Answer:
C. [tex]30\sqrt{2}[/tex]
I hope this helps!
The simplified form of expression 3 times the square root of 200 is 30√2 ( thirty times square root 2 ) .
To simplify the expression 3 times the square root of 200, we can break it down into smaller components .
First, let's simplify the square root of 200 :
√ 200 = √ ( 100 × 2 ) = √ 100 × √ 2 = 10√2
Now, we substitute this simplified value back into the original expression :
3 × √ 200 = 3 × ( 10√ 2 ) = 30√ 2
Therefore, the simplified form of 3 times the square root of 200 is 30√2 .
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Find the slope of the line that passes through the points (2,8) and (6,8).
Answers
Answer:
8-8/6-2
0/4
answer is 0
y=0x+c
8=0(2)+c
8=0+c
8=c
y=0x+8 i thinkkk
Step-by-step explanation:
Answer:
8-8/6-2
0/4
answer is 0
y=0x+c
8=0(2)+c
8=0+c
8=c
y=0x+8
Step-by-step explanation:
Write the standard form of the equation of the circle below.
Center (0,-1) passes through the point (-1,-2)
Answers
Answer:
[tex]x^2+(y+1)^2=2[/tex]
Step-by-step explanation:
We use the formula for a circle with center at (0, -1), that goes through the (x, y) point (-1, -2):
[tex](x-0)^2 + (y-(-1))^2 = R^2\\Using \,\,\,point\,\,\,(-1, -2)\\(-1-0)^2+ (-2+1)^2 = 1 + 1 = 2 = R^2[/tex]
Therefore, the equation of this circle can be written as:
[tex]x^2+(y+1)^2=2[/tex]
John has 4.5 x 10^6 dollars in his bank account. Jacob has 1.3 x 10^7 dollars in his bank account. who has more money and by how much
Answers
Answer:
Jacob has more. $8,500,000 more.
Step-by-step explanation:
4.5 x 10^6 can be expressed as 4500000. and 1.3 x 10^7 can be expressed as 13000000. subtract, and you get %8,500,000
There was 1 L of water in the water bottle tom drake 200 mL of water how many liters of water are left?
Answers
Answer:
0.8 liters
Step-by-step explanation:
1l=1000 mlml=1000 ml-200ml=800ml=0.8L
Answer:
shouldn't it be 800 mL
Step-by-step explanation:
cause there are 1000mL in 1 liter
What is the area, in square feet, of the rectangle shown below?
Answers
Answer:
D
Step-by-step explanation:
= 34/5 × 19/4
= 646/20
= [tex]32 \frac{6}{20} [/tex]
The area of the given rectangle is [tex]32\frac{6}{20}[/tex] square feet
For better understanding check the calcualtion here .
Calcualtion :
Area of the rectangle is the space inside the given triangle .
Formula : Formula to find the area of the triangle is length times width
Length and width are given as mixed fractions
Lets convert mixed fractions into improper fractions
[tex]Length =6\frac{4}{5}=\frac{6 \cdot 5+4}{5}=\frac{34}{5} \\Width=4\frac{3}{4}=\frac{4 \cdot 4+3}{4}=\frac{19}{4}[/tex]
Now we find out the area
[tex]Area= length \cdot width \\Area=\frac{34}{5} \cdot \frac{19}{4} \\Area= \frac{646}{20}[/tex]
Now we divide the number and find out the quotient and remainder
[tex]Area= \frac{646}{4} \\Quotient = 32 \\remainder =6\\Area= 32\frac{6}{20}[/tex]
The area of the given rectangle is [tex]32\frac{6}{20}[/tex] square feet
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Kimmie sells custom T-shirts for $12 each at the flea market every Saturday She usually sells 36 T-shirts Kimmie surveys her customers about whether they would buy her T-shirts at a different price. She determines that for every $1 increase in price she would sell two fewer T-shirts and for even $1 decrease in price, she would sell two more T-shirts, Which quadratic function can Kimmie use to model price increments vs. total income so that she can find the price at which her income is maximized?
Answers
Answer:
y = -2*x² + 60*x
Step-by-step explanation:
The general form of a quadratic function is:
y = a*x² + b*x + c
We need to determine a ; b ; and c. For that we have three conditions therefore
Condition 1 at x = 12 $ each T-shirts kimmie sells 36 units, then she gets
12* 36 = 432 $ or y = 432 and
432 = a(12)² + 12*b + c or 432 = 144*a + 12*b + c
Second condition selling at 13 $ each T-shirt she sells 34 , then
13*34 = 442
442 = a(13)² + 13*b + c or 442 = 169*a + 13*b + c
And the third condition
11*38 = 418
418 = a* ( 121) + 11*b + c 418 = 121*a + 11*b + c
We have a three equation system
432 = 144*a + 12*b + c (1)
442 = 169*a + 13*b + c (2)
418 = 121*a + 11*b + c (3)
We need to solve it for a, b and c
Subtracting (2) - (1) 10 = 25*a + b and subtracting (2) - (3)
24 = 48*a + 2*b
Then b = 10 - 25*a and 24 = 48*a + 2*( 10 - 25*a )
24 = 48*a + 20 - 50*a
24 - 20 = -2*a
4 = - 2*a
a = - 2 and b = 10 - 25*( -2) b = 60
Finally c is: 432 = 144*a + 12*b + c
432 = 144* ( -2) + 12*60 + c
432 = - 288 + 720 + c
432 = 432 + c
c = 0
The quadratic function is:
y = -2*x² + 60*x
1. Evaluate the expression for the given value of the variable. 4(z+ 4) + 5 for z = 2
A 4(2z + 4) +5
B -3
C 17
D 29
Answers
Answer:
D
Step-by-step explanation:
4(z+ 4) + 5 z = 2
4(2+4)+5
4(6)+5
24+5
=29
Answer:
theres a bunch of online calculators for equations of any type I reccomend saving your points for other subject questions
Step-by-step explanation:
A grid has lines at 90-degreree angles. There are 12 lines in one direction and 9 lines in the other direction. Lines that are parallel are 11 inches apart. What is the least number of 12in by 12in floor tiles needed to cover all of the line intersections of the grid? The tiles do not have too touch each other.
Answers
Answer:
70
Step-by-step explanation:
Given that:
There are twelve (12) lines in a direction and another nine 9 lines in another direction.
If we draw the above illustration out, we will realize that we will have 11 squares by 8 squares.
i.e these 11 squares are 11 inches apart.
Hence, the length of their grid = 11 inches × 11 inches = 121 inches²
Thus, for 12 in by 12 in tiles; we will have:
= [tex]\dfrac {121}{12}[/tex]
= [tex]10 \dfrac{1}{12}[/tex]
This implies that there are 10 files with just [tex]\dfrac{1}{2}[/tex] inch gap in length.
Similarly, for 8 squares and 11 inches apart;
The width = 8 inches × 11 inches = 88 inches²
Thus; the 12 in tiles needed = [tex]\dfrac{88}{12}[/tex]
= [tex]7 \dfrac{1}{3}[/tex]
It signifies that there are 7 tiles with [tex]\dfrac{1}{3}[/tex] inch gap in width.
Thus, the least number of tiles required = 10 × 7 = 70
Will mark brainliest!!
Solve for x
Answers
Answer:
The x=22
Step-by-step explanation:
for the figure below, give the following
Answers
Answer:
(a) <1 & <6 (b) <5 & <6 (c) 7 & <3
Step-by-step explanation:
Vertical angles are angle that make an X
Linear pair angles are next to each other
Supplementary angles are angles that form a straight line
Answer:
a) 1 and 6 , 3 and 8, 7 and 4, or 2 and 5
b) 5 and 6
c) 1 and 5
Step-by-step explanation:
Records kept for a period of 30 weeks by a
dietician at a cafeteria show the following
weekly consumption of milk ( in gallons).
200
205
210
215
220
225
230
235
240
Milkin
gallons
Probability
3/30
4/30
6/30
5/30
4/30
3/30
2/30
2/30
1/30
Find the average number of gallons of milk
consumed per week.
Answers
Answer:
216
Step-by-step explanation:
LCD = 30
200(3/30) = 600/30
^ do this process for each number
Answer: 216
Step-by-step explanation:
A beachfront hotel is planning for its summer busy season. It wishes to estimate with 95% confidence the average number of nights each guest will stay in a single visit. Using a sample of guests who stayed last year, the average number of nights per guest is calculated at 5 nights. The standard deviation of the sample is 1.5 nights. The size of the sample used is 120 guests and the beachfront hotel desires a precision of plus or minus 0.5 nights.
Required:
a. What is the standard error of the mean in the lakefront resort example?
b. Within what range below can the resort expect with 95% confidence for the true population mean to fall?
Answers
Answer:
0.1369
(4.732, 5.268)
Step-by-step explanation:
Given that:
Mean, m = 5
Standard deviation, s = 1.5
Error margin, E = 0.5
Sample size, n = 120
Zcritical at 95% = 1.96
Standard Error of the mean (S. E) :
S. E = s /sqrt(n)
S. E = 1.5 / sqrt(120
S.E = 1.5 / 10.954451
S. E = 0.1369306
S. E = 0.1369
Confidence interval (C. I)
Mean ± (Zcritical * S.E)
5 ± (1.96 * 0.1369)
Lower boundary = 5 - 0.268324 = 4.731676
Upper boundary = 5 + 0.268324 = 5.268324
(4.732, 5.268)
A bass guitarist worked on 15 music projects last year. He wrote and produced 5 projects. He wrote a total of 9 projects. Use a Venn diagram to determine:
a. How many projects he wrote but did not produce
b. How many projects he produced but did not write.
Let W be the set of projects the bass guitarist wrote and P be the set of projects he produced
Answers
Step-by-step explanation:
W = Set of projects the guitarist wrote
P = Set of products he produced
A bass guitarist worked on 15 music projects last year.
Universal set = 15
He wrote and produced 5 projects.
W ∩ P = 5
He wrote a total of 9 projects.
W = 9
The Venn Diagram is given in the attached image.
a. How many projects he wrote but did not produce (W - P)?
W - P = W - W ∩ P
W - P = 9 - 5 = 4
He wrote 4 projects but did not produce them.
b. How many projects he produced but did not write (P - W)?
Universal set = (W - P) + (P - W) + W ∩ P
15 = 4 + (P - W) + 5
(P - W) = 15 - 9 = 6
He produced 6 projects but did not write them
Simplify
(45x6y%) = (5x4y2
Answers
Answer:
0 would be your anwswer
Step-by-step explanation:
find the value of x in the equation below.
x+1=6
Answers
Move the constant to the right hand side and change its sing
X=6-1
You subtract the number
X=5
And that’s your solution
I try to find it but I could PLEASE help I’ll say the answer when I’m done
Answers
Answer: false
Step-by-step explanation:
FOR 20 points
Show your work neatly for each problem.
1. Michelle and Cameron are selling popcorn for a school fundraiser. Michelle sold 10 tins of cheese
popcorn and 8 tins of caramel popcorn for a total of $446. Cameron sold 22 tins of cheese popcorn and
11 tins of caramel popcorn for a total of $803. Write a system of equations to determine the cost one tin
of cheese popcorn and one tin of caramel popcorn. Show all your work.
Answers
Answer:
one tin of cheese $23
one tin of caramel $27
Step-by-step explanation:
let 'x' = cost of cheese tin
let 'y' = cost of caramel tin
10x + 8y = 446
22x + 11y = 803
i multiplied the first equation by -11 and the second by 8 to eliminate the 'y' terms
-110x - 88y = -4906
+ 176x + 88y = 6424
66x = 1518
x = 1518 / 66
x = 23
find 'y': 10(23) + 8y = 446
230 + 8y = 446
8y = 216
y = 27
s'ams mother is twice as old as sam in 12 years sam will be as old as his mother was 12 years ago how old are sam and his mother now? sam is?years old his mother is ? years old
Answers
Answer:
Sam is 24 years old and his mother is 48 years old.
Step-by-step explanation:
Equations
Let's call
x = Sam's current age
Since Sam's mother is twice as old as Sam:
2x = Sam's mother current age
x + 12 = Sam's age in 12 years
2x - 12 = Sam's mother age 12 years ago
These two last expressions are equal:
x + 12 = 2x - 12
Subtracting x and adding 12:
x = 24
2x = 48
Sam is 24 years old and his mother is 48 years old.
Answer:
Sam is 24 and his mom is 48
Step-by-step explanation:
3 over x plus 6 over y
Answers
Answer:
[tex]\frac{3}{x}+\frac{6}{y}[/tex]
PLZ HELP MY TEACHER IS GIVING ME SO MUCH WORK
If you walking on the sidewalk and your pencil falls how many toddlers did you eat last night with Tom Holland???
Answers
just trust me it’s right
Tara and Edward each painted their bedrooms. They finished in the same amount of time, Even thought Edwards bedroom is bigger. They have 4 hours to start painting the basement before dinner is ready. Who will likely paint a larger part if the basement?
Answers
Answer:Edward
Step-by-step explanation:
The next number in the arithmetic sequence 10, 23, 36, __is:
49.
46.
43.
50.
Answers
Answer:
49
Step-by-step explanation:
Answer:
49
Step-by-step explanation:
From the sequence it is obvious that the next number was simply the addition of 13, so by adding 13 to 36 we get 49
solve similar triangles (advanced) solve for x
Answers
Step-by-step explanation:
this is the answer of given question
The polygons
are similar. Find the value of x.
10
2x - 19
7
14
14
Answers
answer:
14 is two times greater than 7.
so,
10 is two times greater than 2x - 19
10 = 2(2x - 19)
10 = 4x - 38
48 = 4x
x = 12
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