9514 1404 393
Answer:
4) 95.7 m
Step-by-step explanation:
The angle at the cliff base between Alan and Keith is ...
B = 180° -29° -48° = 103°
The law of sines will tell you the distance KB from Keith to the cliff base is
KB/sin(A) = KA/sin(B)
KB = KA×sin(A)/sin(B) = (70 m)sin(29°)/sin(103°) ≈ 34.82935 m
The height of the cliff is found from the tangent relation ...
Tan = Opposite/Adjacent
tan(70°) = height/(34.83 m)
height = (34.83 m)tan(70°) = 95.693 m
The height of the cliff is about 95.7 m.
_____
Additional comment
These problems can usually be resolved into two 2-D problems. Here, we can work out the distance we need from Keith to the cliff by considering only the ground plan of the site. Then we can work out the height of the cliff only considering the vertical plane containing Keith and the base of the cliff.
The attachment shows the ground plan triangle KAB.
Kevin paid $8.21 for 6 gallons of gas. How much did one gallon of gas cost (rounded to the nearest cent)
Answer:
$1.37 (1.368333)
Step-by-step explanation:
6 divided by 8.21
Mariana baked 14 cakes. She gave 1/7 of them to her family before she took the rest to a party. How many cakes did Mariana give to her family?
Answer:
2
Step-by-step explanation:
14·[tex]\frac{1}{7}[/tex]=2
Answer:
2
Step-by-step explanation: 1/7th's of 14 is 2.
1/7 x 14 = 2.
Find the vertex of the parabola. y = 3x2 – 30x + 77 a (-2,-5) b. (-5, -2) C. (5,2) d. (2,5) Please select the best answer from the choices provided Ο Α OB ОС D
Answer:
[tex]\text{C. }(5,2)[/tex]
Step-by-step explanation:
The x-coordinate vertex of a parabola in standard form [tex]ax^2+bx+c[/tex] is equal [tex]\frac{-b}{2a}[/tex].
In [tex]y=3x^2-30x+77[/tex], we have:
[tex]a[/tex] equals 3[tex]b[/tex] equals -30Therefore, the x-coordinate of the vertex is equal to [tex]\frac{-(-30)}{2(3)}=\frac{30}{6}=5[/tex].
To find the y-coordinate, simply substitute [tex]x=5[/tex] into the parabola's equation:
[tex]y=3x^2-30x+77,\\y=3(5^2)-30(5)+77,\\y=75-150+77,\\y=-75+77=2[/tex]
Thus, the vertex of the parabola is [tex]\boxed{(5,2)}[/tex]
please answer thanks
Answer:
ED = 31
DT = 20
Step-by-step explanation:
m< ESD = 90-52=38°
the distance ED = 40×tan 38° = 31.25 = 31
ET = 40 x tan (90-38) = 40×tan 52°
= 51.19= 51
the distance DT = 51-31 = 20
There are 4 good apples and 3 bad apples. You pick 2 apples at random. What is the probability that you pick 1 good apple and 1 bad apple?
Answer:
[tex]P(Good\ and\ Bad) = 12/49[/tex]
Step-by-step explanation:
Give
[tex]Good = 4[/tex]
[tex]Bad = 3[/tex]
Required
[tex]P(Good\ and\ Bad)[/tex]
This is calculated as:
[tex]P(Good\ and\ Bad) = P(Good) * P(Bad)[/tex]
So, we have:
[tex]P(Good\ and\ Bad) = n(Good)/Total * n(Bad)/Total[/tex]
[tex]P(Good\ and\ Bad) = 4/7 * 3/7[/tex]
[tex]P(Good\ and\ Bad) = 12/49[/tex]
solve the following equation algebraically ? please !
Answer: A
Step-by-step explanation:
Answer:
The answer is B.
Step-by-step explanation:
The opposite of squared is square root, so you'll have to square root 192 and you'll get the answer 13.86.
The reason it is B, because the x could have been negative, when you're squaring a negative you get a positive. that's why B is the answer because we do not know if it's the negative or positive.
Helppppppppppppppppppppppppppp the question is post on my page
I need help please I don’t know this
Answer:
B.I (x) and h (x) are inverse function
B
One of the factors of 34 is chosen at random. What is the probability that the factor is itself a two digit number?
rectangular garden width 2.3 meters and a length of 2.8 meters what is the area
Answer:
area = 2.3 x 2.8
area is 6.44 meters
Step-by-step explanation:
area is length multiplied by width
GHK has been reflected over what line to create the resulting image?
Answer: y=x
Step-by-step explanation:
20 points & Brainliest to the one who gets ALL of them correct! NEED HELP ASAP!!! Due today!!!
Verify these Identities & SHOW YOUR WORK:
1. cosx−cosxsin²x = cos³x
2. [tex]\frac{sinx}{1+cosx}[/tex] = [tex]\frac{1-cosx}{sinx}[/tex]
3. cos⁴b−sin⁴b = 1−2sin²b
4. [tex]\frac{siny+cosy}{siny}- \frac{cosy-siny}{cosy}[/tex] = [tex]\frac{secy}{cosy}[/tex]
5. (secx−tanx)² = [tex]\frac{1-sinx}{1+sinx}[/tex]
HELP!!!
Answer:
30
Step-by-step explanation:
Answer: go on mathaway!!!
Step-by-step explanation:
This dosent really help with ur question but mathaway is free and got me through math
5. x – 6 translate into mathematical words
Answer: 6 fewer than a number
This one says (cos) , help it’s timed ! Take me through the process !
Answer:
4/5 is ur answer
Step-by-step explanation:
ok just like the last one but this one is COS
ok so we know that COS is A/H
A= adjacent and ofc H= hypotenuse
so lets see its the COS of a which means it will be A/H
A= 4 and the H=5
The product of two consecutive integers is 420. An equation is written in standard form to solve for the smaller integer by factoring.
What is the constant of the quadratic expression in this equation?
x2 + x +
= 0
Answer:
-420
Step-by-step explanation:
let the two consecutive integers be
x and (x + 1)
The product of two consecutive integers is 420
x(x + 1) = 420
Distribute
x² + x = 420
Subtract 420 from both sides
x² + x - 420 = 0
The constant is
-420
The coordinates of parallelogram UVWZ are U(a, 0), W(c − a, b), and Z(c, 0). Find the coordinates of V without using any new variables.
(a, b)
(b, 0)
(c, b)
(0, b)
Answer:
C
Step-by-step explanation:
Your welcome! :) Good luck!
100 POINTS!!!!!!!!!!!!!!!!!
Answer:
A = 0.25*j + 1
Step-by-step explanation:
The question presented here is an application of linear models. The $1 amount is fixed and does not depend on any factor such as the cups of orange juice sold.
Furthermore, we are informed that we earn $0.25 for every cup of orange juice sold. This means that we shall earn 0.25 j by selling j cups of orange juice.
The variable total amount, A will thus depend on the fixed amount of $1 and the variable income 0.25 j.
The equation in two variables that will represent the total amount A (in dollars) you have after selling j cups of orange juice will thus be;
A = 0.25*j + 1
Hope this helped.....
Answer:
5 points huh thats mean
Step-by-step explanation:
Find the area of each triangle.
Answer:
4.) A = 1/2 bh
1/2 x 3 x 6
= 9in
help................................................
9514 1404 393
Answer:
B.
Step-by-step explanation:
Use t=0 and t=2 and locate the graph with those two points on it. (We choose these because the horizontal grid is 2 years for each grid line.)
For t=0, C(0) = 50000(0.9^0) -2000 = 480000
For t=2, C(2) = 50000(0.9^2) -2000 = 40500 -2000 = 38500
The only graph that has y-intercept of 48000 and crosses (2, 38500) is the one shown in choice B.
You have a flight at 7:30 you have 1 hour and 27 minutes to get ready and 30 minutes to get to the airport what time do you wake up
Answer:
5:33 am
Step-by-step explanation:
You need to be at the airport at 7:30
Subtract 30 minutes for travel
7:30 -30 = 7:00
You need 1 hour and 27 minutes to get ready
Subtract 1 hour
7-1 =6:00 am
Subtract 27 minutes
6:00 am - 27 minutes
5: 60 - 27 ( Remember there are 60 minutes in 1 hour)
5:33 am
You need to get up at 5:33 am
Check
5:33 plus 1 hr 27 minutes = 7:00 am + 30 minutes travel = 7:30 am
Factorise x2 - 2x - 3
The factorization of x² - 2x - 3 is (x+1)(x-3).
The given quadratic equation is,
x² - 2x - 3
The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:
ax² + bx + c = 0
Hence to factorize we can write the given quadratic equation as,
⇒ x² - 3x + x - 3
⇒ x(x-3) + (x - 3)
⇒ (x+1)(x-3)
Hence,
x² - 2x - 3 = (x+1)(x-3)
To learn more about quadratic equation visit:
https://brainly.com/question/30098550
#SPJ6
Type SSS, SAS, ASA, SAA, or HL to
justify why the two larger triangles are
congruent.
Answer:
ASA
Step-by-step explanation:
The two small angles which are the base angles of the small triangle in the middle are marked as equal.
The two large angles of the two triangles are also marked as conguent.
The base of the small triangle in the middle is common to both the larger triangles by the reflexive property (a line is always equal to itself). The line is between two sets of congruent angles. Therefore the two large triangles are congruent by ASA
Explanation:
It might help to peel the triangles apart as I have done so below.
We have two pairs of congruent angles, as shown by the distinct angle markers. Between the congruent angles, we have a pair of congruent sides.
The side (S) is between the angles (A), which is why we use ASA.
Note: SAA is slightly different where the congruent sides are not between the congruent angles.
2x + 5y = 17
what is x
what is y
Answer:
x = (17 - 5y)/2
y = (17 - 2x)/5
Step-by-step explanation:
nothing else can be done here.
if you are looking for actual numbers as solution, then you have forgotten to put something important here.
to solve a system with 2 variables we need 2 equations. it cannot be solved with only 1 equation.
If x = -3 and y = 4x - 1, then y equals what number
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{y = 4x - 1}[/tex]
[tex]\large\text{If x= -3, then substitute it into the given equation}[/tex]
[tex]\large\textsf{y = 4(-3) - 1}[/tex]
[tex]\large\textsf{4(-3) = \boxed{\bf -12}}[/tex]
[tex]\large\textsf{y = -12 - 1}[/tex]
[tex]\large\textsf{-12 - 1 = y}[/tex]
[tex]\large\textsf{-12 - 1 = \boxed{\bf -13}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf y = -13}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
[tex] \quad \quad \quad \quad\tt{y = 4x - 1}[/tex]
[tex] \quad \quad \quad \quad\tt{y = 4( - 3) - 1}[/tex]
[tex] \quad \quad \quad \quad\tt{y = (- 12)- 1}[/tex]
[tex] \quad \quad \quad \quad\tt{y = - 13}[/tex]
Hence, The value of y is:[tex] \quad \quad \quad \quad \boxed{\tt \color{green}{y = - 13}}[/tex]
______
#LetsStudy
I need help please asp !!!!
In the parallelogram below x=?
Answer:
x = 12
Step-by-step explanation:
The sides are congruent
5x - 17 = 3x + 7
Subtract 3x from both sides
2x - 17 = 7
Add 17 to both sides
2x = 24
Divide both sides by 2
x = 12
Answer:
X=0.8
Step-by-step explanation:
First collect all the light terms '7' and '17' '-17+7=-10'
And '3x' and' 5x' '3x+5x=8x'
So if you put this as an equation you will have '8x=-10'
Next you do 8 divided -10
Then you get 0.8
find the missing side of the triangle
PLEASE HELP ASAPPP!!!! THE ANSWER WILL BE A PERCENTAGE.
Suppose you are asked to pick 4 numbers from 1 to 25 to win a prize. What is the probability that one of the numbers you will pick is the winning number?
Answer:
each number you pick has a 1 in 25 chance
this equates to a 4% chance of winning for each individual ball
Pablo deposits $5000 into an account that pays simple interest at a rate of 3% per year. How much interest will he be paid in the first 6years?
Answer:
$5900
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Simple Interest Rate Formula: A = P(1 + rt)
P is principle amountr is ratet is time (in years)Step-by-step explanation:
Step 1: Define
Identify variables
P = 5000
r = 3% = 0.03
t = 6
Step 2: Find Interest
Substitute in variables [Simple Interest Rate Formula]: A = 5000(1 + 0.03 · 6)(Parenthesis) Multiply: A = 5000(1 + 0.18)(Parenthesis) Add: A = 5000(1.18)Multiply: A = 5900What is the answer to 8x < 48
Answer:
x<6
hope this helps
have a good day :)
Step-by-step explanation: