Answer:
a. x(2+3x)b.x= 0, −2/333. a. 2x2(3x−1) b.x= 0, 1/335. a. (x−1)(x−7)b.x= 1, 7 37. a. (x−3)(x+4)b.x= 3, −439. a.
Step-by-step explanation:
Looking north, two skyscrapers are sighted from the viewing deck of the Empire State Building at 1250 feet up. One skyscraper is sighted at a 20° angle of depression and a second skyscraper is sighted at a 30° angle of depression. How far apart are the two skyscrapers to the nearest foot?
Answer:
Step-by-step explanation:
The angle of depression is the angle between the line of sight and a vertical line.
The distance between the two skyscrapers is 1269ft
I've added as an attachment, a figure that illustrates the scenario
First, we calculate distance AB using the following tangent ratio
[tex]\mathbf{\tan(\theta) = \frac{Opposite}{Adjacent}}[/tex]
So, we have:
[tex]\mathbf{\tan(60) = \frac{AB}{1250}}[/tex]
Make AB the subject
[tex]\mathbf{AB = 1250 \times \tan(60)}[/tex]
Next, we calculate distance AC using the following tangent ratio
[tex]\mathbf{\tan(\theta) = \frac{Opposite}{Adjacent}}[/tex]
So, we have:
[tex]\mathbf{\tan(60+10) = \frac{AB + BC}{1250}}[/tex]
[tex]\mathbf{\tan(70) = \frac{AB + BC}{1250}}[/tex]
Make AB + BC, the subject
[tex]\mathbf{AB + BC = 1250 \times \tan(70)}[/tex]
Make BC the subject
[tex]\mathbf{BC = 1250 \times \tan(70) - AB}[/tex]
Substitute [tex]\mathbf{AB = 1250 \times \tan(60)}[/tex]
[tex]\mathbf{BC = 1250 \times \tan(70) - 1250 \times \tan(60)}[/tex]
[tex]\mathbf{BC = 1269}[/tex]
Hence, the distance between the two skyscrapers is 1269ft
Read more about angles of depression at:
https://brainly.com/question/13697260
[tex] \frac{?}{32} = \frac{25}{100} [/tex]
fill in the blank
A train travels 1 kilometre in 1 minute 20 seconds. Picture of steam train Question prompt At this rate, how many kilometres will the train travel in 1 hour?
Answer:
45km
Step-by-step explanation:
Distance covered in 1min 20sec (80sec) = 1km
Distance covered in 1 min (60sec) = 1km/80sec
Distance covered in 1Hr (3600sec) = (1/80)*3600 = 45km.
if p q by the consecutive interior angles theorem which angles must be supplementary
Answer:
Angles 3 and 8 are consecutive interior angles
Step-by-step explanation:
Here, we want to use the consecutive interior angles theorem to find the supplementary angles
We start by looking at the transversal line
two angles that are directly above each other on the two lines are consecutive interior angles that are supplementary
We have this two as;
Since it is P and Q that are parallel, it is angles 3 and 8 that are consecutive interior angles
1/4 equals Z /20 what does z equal
Answer:
5
Step-by-step explanation:
Which of the following is a skill?
A. Hearing
B. Reading
O
C. Talking
O D. Sitting
Answer:
B. Reading
The rest of the options are not skills
Answer:
B
Step-by-step explanation:
B: Reading is a skill
Are born with the ability to hear talk and sit, but all of us can't read when your born. you have to learn the skill. And if you are born with the ability to read, uhhh your weird, lol
Hope that helps :)
What is the probability of rolling a 3 on a 6-sided number cube and then NOT rolling a 3 on a 6-sided number cube?
36
Someoneeee helpppp !!1. Determine the area of the rectangle below.
Tam
m
15 m
Formula:
Plug in Values:
Area:
Answer:
Hope that answers your question
On a map, 1 inch equals 5 miles. Two cities are 6 inches apart on the map. What is the actual distance between the cities?
Answer:
30
Step-by-step explanation:
(5*6)/1
A diver is 50 ft below sea level. Which integer correctly represents the situation?
Answer:
50 feet below sea level. First, look for keywords. The word “below” means you will need to use a negative integer. The answer is -50.
Step-by-step explanation:
hope this helps...
(─‿─)
Negative integers are used to represent values below zero, and in this context, "-50" represents a depth of 50 feet below the sea level.
In the context of sea level and vertical position, we often use positive and negative numbers to represent positions above or below a reference point, which is usually considered to be sea level.
When we say the diver is 50 feet below sea level, it means the diver is at a depth of 50 feet under the surface of the sea. In this case, we use negative numbers to represent positions below sea level.
So, if we consider sea level as the reference point (zero level), the number line extends in both positive and negative directions. Positive numbers represent positions above sea level, and negative numbers represent positions below sea level.
Since the diver is 50 feet below sea level, we represent this as -50. The negative sign indicates that the diver is below the reference point (sea level), and the absolute value of 50 represents the depth of 50 feet.
Therefore, the integer -50 correctly represents the situation of a diver being 50 feet below sea level.
To know more about sea level.
https://brainly.com/question/29898031
#SPJ2
help
Which of the following pairs of base and height produces the greatest area? All measurements are in centimeters.
(Remember, the area of a parallelogram can be found by multiplying the base \cdot⋅ height, A = b\cdot hb⋅h)
b=4, h=3.5
b=0.8, h=20
b=6, h=2.25
b=10, h=1.4
Answer:
second option: b = 0.8, h = 20
Step-by-step explanation:
areas are as follows:
14
16
13.5
14
Which system is represented by the graph shown here
URGENT !!!!!!!!! Please answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!!!!
Simplify 2.1+(-3.7h)+1.9h-1.4
k + 12 greater or equal than20, if k = 15
Answer:
"k+12" IS greater than 20. If in this hypothetical question.
Step-by-step explanation:
Please brailiest me
Answer:
yes it is right decause:-
15+12=27 in which 27 is greater than 20
how many solutions does the system have ?
( y=3x + 2
( y=3x + 6
Answer:
52 when we evaluate it understand
HELP PLEASE!!
Which of the following equations is true to find the length BC?
Answer:
BC/sin 23 = 10/sin 47
Step-by-step explanation:
Here, we want to select the true equation to find the length BC
From the question, we have the angle facing side BC; also, we have the angle and the side facing it for another side
In this situation, the best way to solve for BC is by the use of the sine rule
The sine rule states that the ratio of the length of a side and the sine of the angle facing the side is constant for a given triangle
Thus, we have it that;
BC/sin 23 = 10/sin 47
B-30.45=95.28 what is the answer
Answer:
[tex]B = 125.73[/tex]
Step-by-step explanation:
Step 1: Add 30.45 to both sides
[tex]B - 30.45=95.28[/tex]
[tex]B +(- 30.45 + 30.45)=(95.28 + 30.45)[/tex]
[tex]B = 125.73[/tex]
Answer: [tex]B = 125.73[/tex]
Please help me! I'll give brainliest to the best answer! (Sorry its sideways.)
Answer:
225.
Step-by-step explanation:
Can someone just tell me the value of “w” Thanks!
Answer:
w = 31
Step-by-step explanation:
Since this is a rhombus
==> GFE + FED = 180
2w + w + 87 = 180
==> w = 31
Much saved $6 on a $40 pair of pants
Answer:
SHEEESH? MIND IF U SHARE?
Step-by-step explanation:
Johnny makes $30 per hour , which is 20% of Sarah hourly rate. What is Donovan's hourly rate if he makes 50% of Sarah Hourly hourly rate ?
Answer: i think its 3 i not the best at math so im so sorry if this is wrong lol
Step-by-step explanation:
g(x)=-|x| ; find g(-4)
Answer:
-4
Step-by-step explanation:
Plug in -4 for x, so the absolute value of -4 is 4. However, there's a minus sign out in front still, so it gets tacked on to the 4. So, g(-4)=-4
What is 430,000 in scientific notation.
Answer:
four hundred thirty thousand
Step-by-step explanation:
Your welcome<3
Answer:
4.3 × 10 to the 5th power
Step-by-step explanation:
Find the difference. Write you answer in simplest form.
9/10 - 4/10
Answer:
1/2
Step-by-step explanation:
hope it helps :)
find the gcf 27y^3z and 45x^2y
Answer:
Gcf 9
Step-by-step explanation:
Factors of 27y^3z = 1,3,5,9,27,y,y^2. Factors of 45x^2y = 1,3.5,9,15,45,x,y. CF = 1,3,5,9,y. GCF = 9.
Reflect the point (2, -4) over y = x to become... a) (-4, 2) b) (-2, 4) c) (-2, -4) d) (2, 4)
NEED HELP WITH 1-8 ASAP I WILL GIVE BRAINLIST
Answer:
I will give u the steps undunderneath
work out volume by :
base times length times height
so question 1 is : 4 times 1 times 6 which is 24ft²
same goes the rest
hope this helps. can I have brainliest please.
Trapezoid: b1 =3m; b2 = 4m
A= 7m 2 What the next missing dimension?
9514 1404 393
Answer:
h = 2m
Step-by-step explanation:
We can put the given values into the area formula and solve for the missing one.
A = (1/2)(b1 +b2)h
7m²= (1/2)(3m +4m)h
7m² = (7/2)m·h
(7m²)(2/(7m)) = h = 2m
The missing height is 2 m.
Solve the following expression when
t = 6 and d = 8
t + d = 8 - 6
Answer:
Hi! Your answer is 14 = 2
Step-by-step explanation:
Evaluate