An observer at the top of a building sees a car on the road below. the angle of depression to the car is 28 degrees. If the car is about 50m from the building when it is seen, how tall is the building?
Answer:
Step-by-step explanation:
The height of the building is: 26.585 m.
What is angle of Depression?The angle formed by the line of sight and the horizontal plane for an object below the horizontal.
Given:
angle of depression= 28 degree,
distance between car and building= 50m
using trigonometry,
tan 28= P/B
0.5317= P/50
P= 26.585 m
Hence, the height of the building is 26.585 m.
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Make a story problem about conversion of measurements.
Make a story problem about conversion of measurements.
ANSWERCairo wants to join the basketball team, so he tried out and filled up a form. But he realized that the form wanted to get his height in "cm or centimeters", the problem is that he only knows his height in "feet" which is 6'5.
Since he didn't know how to convert centimeters to feet, he asked his friend Tyga and Tyga easily converted his height into cm. Cairo then filled up the form again and wrote "195.58 cm" in his official height--the equivalent of 6'5 in centimeter measurement.
What is the value of x
Answer:
The answer would be 7
36/6=6
so it would be
42/x=6
x=7
I need help please. i will give brainliest
Answer:
1) There were 120 customers per night when the restaurant opened
2) y = -2x + 24
Step-by-step explanation:
1) x represents the # of months since a restaurant opened, and y represents the average number of nightly customers.
y=mx+b
120 is b in this situation, which is the y-intercept of the line. This means that 120 is the starting number of customers when the restaurant first opened.
what is the slope of the line created by the points (9, 8) & (4, -3)?
Answer:
11/5
Step-by-step explanation:
y2-y1/x2-x1
= -3-8/4-9
= -11/-5
= 11/5
A
B
C
D
isosceles triangle
A rectangular box with a square base and no top is to have a volume of 108
The value in cubic yards is 3.996yd³.
What is the volume of the rectangular box?The volume of a rectangular box can be calculated if you know its three dimensions: width, length, and height.
A rectangular box with a square base and no top is to have a volume of 108ft³.
We are to convert the dimension to cubic yards. Using the conversion factor
1 ft³ = 0.0370yd³
108ft³ = x
Cross multiply
1 × x = 108 × 0.0370
x = 3.996
Hence, the value in cubic yards is 3.996yd³.
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HELP PLEASE!
can anyone help me with this math question? im quite confused on where to begin..
please explain & show the steps!
===================================================
Explanation:
In the first parenthesis grouping, we have these three terms
[tex]9x^2y[/tex]
[tex]6xy^2[/tex]
[tex]-3xy[/tex]
and we're dividing each of them over the denominator -3xy.
Think of it like the distributive property. In fact, division is a disguised version of multiplication, which is why the distributive property is not a coincidence. Example: 10/2 = 10*(1/2) = 10*0.5 = 5
If we divide each term over -3xy, then we get these three separate results:
[tex](9x^2y) \div (-3xy) = -3x[/tex]
[tex](6xy^2) \div (-3xy) = -2y[/tex]
[tex](-3xy) \div (-3xy) = 1[/tex]
The last equation is probably self explanatory: any number divided by itself is 1, as long as the number isn't zero. Eg: 4/4 = 1.
The first two equations might not be obvious. For the first equation, we divide the coefficients 9 and -3 to get -3 as the final coefficient on the right hand side. Then the variable terms cancel when pairing them up. Check out the diagram below to see what I mean by this canceling. It's optional, but it might help to think of [tex]x^2[/tex] as [tex]x*x[/tex]
A similar situation happens in the second equation as well.
After doing those three division operations, we then add up the results to arrive at -3x+(-2y)+1 which is the same as -3x-2y+1
Can someone please help me? It's 1:16am and its due at 7:15am. I've got school.
Answer:
2 v 13, 2 Square root 13
Step-by-step explanation:
there's 2 right triangles
a)
10^2 = 6^ + a^2
100 - 36 = a^2
64 = a ^2
a = 8
--------------------------------------------
now we know the base of the right triangle = 8
and also the base of the left one = 4
8 + 4 = 12
--------------------------------------------
now find x
b)
x^2 = 6^2 + 4^2
x^2 = 36 + 16
x^2 = 52
x = (square root) 52
x = 2 v 13 <---- "v = square root"
Instructions :- Simplify the answer if there is square root
Given :- Two triangles Total length of the base 12 First triangle dimensions10 as it's hypotenuse6 as it's perpendicular Answer:- X = ✓ 52 = 7.2Explanation:- Formula :-hypotenuse² = perpendicular²+base²
Solution:-First triangle:-
[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ {10}^{2} = {6}^{2} + {b}^{2} \\ 100 = 36 + {b}^{2} \\ 100 - 36 = {b}^{2} \\ 64 = {b}^{2} \\ 8 = b[/tex]
Second triangle
perpendicular = 6 hypotenuse = X ( to Find )base = 12-b = 12-8= 4[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ {x}^{2} = {6}^{2} + {4}^{2} \\ {x}^{2} = 36 + 16 \\ {x}^{2} = 52 \\ x = \sqrt{52} = 7.2 \\ x = 7 \: \: approx[/tex]
34,678 rounded to the nearest hundred.
Answer:
34,700.
Step-by-step explanation:
The tens digit is 7 so we round up the 6 ( which is the hundreds digit) and the tens and units go to zeros.
Answer:
34,700
Step-by-step explanation:
34,678
3 is in the ten thousands place
4 is in the thousands place
6 is in the hundreds place
7 is in the tens place
8 is in the ones place
When rounding, you look at the next number to the right. If anything that ranges from 5–9 is rounded up, and anything that ranges from 1–4 is rounded down.
So, 6 is next to 7, which is in the 5–9 range, which means it is rounded up.
400, 500, 600, 700
As you can see, the nearest hundred is 700
Our answer would be 34,700
Hope this helps!
(1/5)^3 as a simplified proper or improper fraction
Answer:
1/5
Step-by-step explanation:
Hope this helps
How to find the surface area of a rectangular prism?.
Answer;
A=2(W·l+h·l+h·w)
Step-by-step explanation:
multiply all the numbers by eachother and multiply by 2
· is multiply
For example:
length-12
height-5
width-7
12×5+5×7+7×12=179
179×2=358
PLEASE HELP ME IN THIS QUESTION!!!
Answer:
CD = 16
Step-by-step explanation:
Segments EF and EC are tangent and secant respectively to the circle drawn from external point E.
Thus, by tangent-secant theorem:
[tex]ED\times EC= EF^2[/tex]
[tex]\implies x(x+x+7)= (15)^2[/tex]
[tex]\implies 2x^2+7x= 225[/tex]
[tex]\implies 2x^2+7x-225=0[/tex]
Comparing above quadratic equation with [tex]ax^2+bx+c=0[/tex], we find:
a = 2, b = 7, c = -225
Now, we find the value of the discriminant
[tex]\implies b^2-4ac= (7)^2-4(2)(-225)= 1849[/tex]
Now, by quadratic formula:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\implies x=\frac{-7\pm\sqrt{1849}}{2(2)}[/tex]
[tex]\implies x=\frac{-7\pm (43)}{4}[/tex]
[tex]\implies x=\frac{-7+ 43}{4}\: or\:x=\frac{-7- 43}{4} [/tex]
[tex]\implies x=\frac{36}{4}\: or\:x=\frac{- 50}{4} [/tex]
[tex]\implies x=9\: or\:x=-12.5 [/tex]
x represents length, so it can't be negative.
[tex]\implies x\neq -12.5[/tex]
[tex]\implies x=9[/tex]
CD = x + 7
-> CD = 9 + 7
-> CD = 16
LOOK AT THE PICTURE AND ANSWER THE QUESTION TO GET MARKED BEST.
what is the value or x?
10.4
52
61.6
92
Answer:
x = 10.4
Step-by-step explanation:
This is a supplementary apple which means the angle is equal to 180 degrees. You do 180 - 128 which equals 52. Then you divide 52 by 5 to figure out "x". 52 divided by 5 equals 10.4. So x = 10.4.
To make sure, you can plug in "x" as 10.4. (5 * 10.4) equals 52. 52 + 128 equals 180.
Answer:
52
Step-by-step explanation:
180-128=52
the whole angle is 180
30 POINS Find the measures of the numbered angles in the parallelogram. Please help
Answer:
Is there supposed to be an attachment? if so please send it so I can answer your question.
The circumference of a circle is 13 pi cm. What is the area, in square centimeters?
Express your answer in terms of Pi
Answer:
42.25π cm²
Step-by-step explanation:
To find the area of the circle, first find its radius.
Formulas needed
Circumference of circle= πD= 2πrArea of circle= πr²Given: circumference= 13π cm
2πr= 13π
Divide both sides by 2π:
[tex]r = \frac{13}{2} [/tex]
r= 6.5 cm
Now, we can find the area by substituting r= 6.5 into the area of circle formula.
Area of circle
= πr²
= π(6.5)²
= 42.25π cm²
The diameter of a circle is 1213 inches.
What is the radius, r, of the circle?
Enter your answer as a mixed number in simplest form by filling in the boxes.
r = _ / in.
Answer:
the answer 6 1/6
Step-by-step explanation:
proof here
Answer: 6/1 6
Step-by-step explanation: i took the quiz
Sally and Will are very picky eaters. At the start of dinner, Sally pushed half of her peas onto Will's plate. Then, when their mom wasn't looking, Will pushed half of his peas onto Sally's plate. Finally, Sally once again pushed half of her peas onto Will's plate. When their mom said they would get no dessert if they didn't eat their vegetables, Sally had 25 peas on her plate and Will had 47 peas on his plate. How many peas did Sally have at first?
Considering the total of peas is 72, Sally's initial number of peas was 56.
What is the total of peas?Assuming the two brothers did not eat any peas, the total of peas both at the beginning and end is 72 peas.
25 + 47 = 72 peasBy the end, Sally has 25 peas and Will has 72 peas.
How many peas did Sally have before?Before the mother declared none of them would have dessert Sally had given Will half of her peas. This means 25 peas represent half of the peas:
25 x 2 = 50 peas 22 peas in Will's plate
Before this, Will had given Sally half of his peas
22 peas x 2 = 44 peas 28 peas on Sally's plate
Right before this, Sally gave Will half of her peas:
28 x2 = 56 peas 16 peas on Will's plate
Let's check this answer:
S= 56 W= 16 -Beginning
S= 28 W=44 - Sally gives Will half of her peas
S= 50 W=22 - Will gives sally half of his peas
S=25 W= 47 -Sally gives will half of her peas
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PLEASE HELP!! URGENT!
Step-by-step explanation:
258
because there are 360 degrees in a circle. 360 - 102 = 258
I have no idea how to do this (screen shot below)
Answer:
435 is the answer
Step-by-step explanation:
well first you can cut it up
9x7=63
than 8x15=120
than for the trangle
you do 24x 21= 504 than you do 504/2=252
than add all of them =435
Krysta's soccer practice started at 7:45 A.M. on Saturday morning. The team practiced dribbling for 15 minutes and practiced shooting for 45 minutes. Then they played a scrimmage game for 30 minutes before practice ended. What time was it when Krysta's soccer practice ended?
please help asap tysm n ily
Total time used= 15+45+30=90 mins
Initial time=7:45
final time will be 1 hr 30 mins more than initial Time
final time= 9:15 am
Given the equation of a circle. X^2+ y^2 - 6x + 2y +1 = 0, find the coordinates of the center and the length of the radius.
Coordinates for the center=
Length of the radius =
Answer:
I know the answer but you may select me as Brainliest
Talia tossed a penny many times. She got 30 heads and 50 tails. She said the experimental probability of getting heads was
30
50
. Explain and correct her error by completing the sentence. Enter your answer as a simplified fraction.
She did not
(select)
30 and 50 to find the total number of trials. The experimental probability of landing on heads is
Answer:
The probability of landing on heads is 50 and the probability of landing on tails is 50.
Step-by-step explanation:
Her answer is wrong because -
A. It does not equal 100, all percentages must add to 100
B. There is an equal chance of getting heads and of getting tails and 30 and 50 are not equal
helllllppp!!!!!!!!!!!!11 marking brainliest!
Hello!
Let the unknown number be x.
Subtract 5:
x-5
Double the result: (multiply the result times 2):
2(x-5)
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
The three sides of a triangle of lengths 4, 5, and 7. The triangle is obtuce
Answer:
Let's check this!
Obtuse triangle formula:
c² < b² + a²
Next fill in the formula:
7² < 5² + 4²
Then simplify:
49 < 25 + 16
Then add:
49 < 41
^^49 is not greater than 41 so therefore the triangle is not obtuse.
When the hypotenuse is bigger than the legs of the triangle it is an acute triangle.
Acute triangle formula:
c² > b² + a²
7² > 5² + 4²
49 > 25 + 16
49 > 41 ✔
You're Welcome and Mark me Brainliest please.
The three sides of a triangle of lengths 4, 5, and 7 are not obtuse triangles.
What is the obtuse triangle?The triangle is an obtuse triangle if the sum of the squares of the smaller sides is less than the square of the largest side.
The three sides of a triangle of lengths 4, 5, and 7.
An obtuse triangle is a triangle in which one of the interior angles is greater than 90°.
The sides of a triangle are not an obtuse triangle as determined in the fooling step given below.
Obtuse triangle formula:
c² < b² + a²
7² < 5² + 4²
49 < 25 + 16
49 < 41
Here; 49 is not greater than 41 so therefore the triangle is not obtuse.
Hence, the three sides of a triangle of lengths 4, 5, and 7 are not obtuse triangles.
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a rectangle is 9 meters long and the area is 72 square meters what is the perimeter
Answer:
Area = length × width
72 = 9 × width
8 = width (9 × 8 = 72)
pertinter = length + width + length + width
= 9 + 8 + 9 + 8
perimeter = 34
Answer:
perimeter: 34 m
Step-by-step explanation:
length : 9area : 72width * length = area
width * 9 = 72width = 72/9width = 8 mperimeter:
2 ( length + width )2 ( 9 + 8 )34 m4. Is (x + 2)a factor of (x + 5x 3 2 - 4x – 20)? -
Answer:
yes
Step-by-step explanation:
if (x + 2) is a factor of the polynomial , then if x = - 2 gives the polynomial a value of zero it is a factor
(- 2)³ + 5(- 2)² - 4(- 2) - 20
= - 8 + 5(4) + 8 - 20
= - 8 + 20 + 8 - 20
= 0
since polynomial = 0 then (x + 2) is a factor
find the value of x in each of the following
a) x/3 - 2 =6
b) x/5 + 1 =5
Answer:
the answer to question a is 24
the answer to question b is 8
reflect the shape A in the line
x=1
What are the coordinates of the vertices of the image?
its for a maths test!!!!!!!!!!!!!!!!!!!!!!!!!!
correct answers to be awarded brainley
.
i dont knowkkkkkkkkkkkkk
What is the volume of this sphere?
1024π m^3
972π m^3
729π m^3
81π m^3
Answer:1024π m^3
Step-by-step explanation:
i got 100 on the quiz