Answer:
a = 0.5
b = 6
ab - b
= 0.5 × 6 - 6
= 3 - 6
= -3
Hope it helps:)
The angle of depression of a rabbit from the top
of a cliff is 24°. After the rabbit hops a distance
of 80 m horizontally towards the base of the cliff,
the angle of depression of the rabbit from the
top of the cliff becomes 32°. Find the height of
the cliff.
The angle of depression is the angle formed with the horizontal, when an object is viewed below the horizontal level. Thus, the height of the cliff is approximately 123.86 m.
Let the height of the cliff be represented by h, so that:
From the triangle 1, we have:
tan [tex]32^{o}[/tex] = [tex]\frac{h}{x}[/tex]
⇒ h = tan [tex]32^{o}[/tex]*x
h = x tan [tex]32^{o}[/tex] ............. 1
Also, from the bigger triangle, we have:
tan [tex]24^{o}[/tex] = [tex]\frac{h}{80 + x}[/tex]
⇒ h = tan [tex]24^{o}[/tex] (80 + x) ......... 2
Now equating the expressions for h in equations 1 and 2, we have:
x tan [tex]32^{o}[/tex] = tan [tex]24^{o}[/tex] (80 + x)
0.6249x = 0.4452 (80 + x)
= 35.616 + 0.4452x
0.6249x - 0.4452x = 35.616
0.1797 x = 35.616
x = [tex]\frac{35.616}{0.1797}[/tex]
x = 198.2 m
Substitute the value of x in equation 1;
h = x tan [tex]32^{o}[/tex]
= 198.2 * 0.6249
= 123.8552
h = 123.86 m
Therefore, the height of the cliff is approximately 123.86 m.
A sketch to this question is attached.
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Pls can someone pls help me
Please show your work
Answer:
x = 8
I dunno what the question is in the first place, but I assume you are solving for x.
Step-by-step explanation:
The two given angles are equivalent because they are parallel and they have a line that intersects.
The line creates two angles on each side of each line, which is 120 or 60 because there are 180 degs on a straight line.
The obtuse side is 120, and the -8 + 16x is also on an obtuse angle, showing that they are equal.
120 = -8 + 16x
128 = 16x
8 = x
x = 8
y= -8/9 (x+1)+6
convert to standard form
Answer:
mm
kl l
Step-by-step explanation:
3
Assume that a randomly selected subject is given a one density test those test scores are normally distributed with a mean of 0 and a standard deviation of 1
Answer:
See Image below for answer:)
Step-by-step explanation:
How do you do order of operations step by step?.
Answer:
"Please excuse my dear Aunt Sally or PEMDAS"
____________________________________________________________
Please stands for Parentheses, so we solve everything inside of the parentheses first.
Then, Excuse which is for “Exponents.” We answer that after we answer everything in parentheses.
Multiplication, which is the My, and this happens from left to right.
And then division, which is the “Dear,” which also happens left to right.
And then we have addition and subtraction, which also happens from left to right, and this is “Aunt” and “Sally.”
What is the line that goes through (2,3) and is perpendicular to the line y = -2x + 9?
ASAP :)
M1=-2
M2=1/2
y-3/x-2=1/2
2y=x+8
A sink can hold 10 gallons of water.how many quarts of water can the sink hold?
Answer:
40 quarts
Step-by-step explanation:
one gallon is 4 quarts, so ten gallons would be 40.
4(quarts) x 10(gallons) = 40(number of quarts in the 10 gallons)
The cost of a stove to a store owner was 650$, and she sold the stove for 1040$.
Step 1 of 3: What was her profit?
1040 - 650 = 390
By subtracting the cost from the amount she sold the stove for, we can find the profit of $390.
I hope this helps! :)
If Tristen buys 14 t-shirts for $78.40. What is the
constant of proportionality?
Answer:
The constant is that each 14 t-shirts you need to pay 78.40$
Step-by-step explanation:
If you divide 78.40 between the 14 t-shirts you get 5,39$, whiwh would be the price of a t-shirt.
How to solve quadratic using completing the square.
Answer:
You can solve quadratic equations by completing the square. Completing the square involves creating a perfect square trinomial from the quadratic equation, and then solving that trinomial by taking its square root.
Step-by-step explanation:
Mrs. Rashad Is baking 3 ples, She needs 1 /6 cups of strawberries for each ple. How many cups of strawberries does she need in all?
Answer:
0.5cups / [tex]\frac{1}{2}[/tex] a cup
Step-by-step explanation:
3 2/9 x -1 5/7 make an improper fraction, multiply, then make it a simplified mixed number.
Answer:
-145/63
Step-by-step explanation:
To all who are good at math please help 80 points
Answer:
Number 4
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
What are 2 multiplication expressions that have the product of 28.34 ?!?!?!? NEED HELP ASAP!!!!
Answer:
28.34 x 1 = 28.34
14.17 x 2 = 28.34
There are required two multiplication expressions that might generate the result 28.34. Here are a number of such examples:
28.34 × 1
14.17 × 2
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
We have to determine two multiplication expressions that have the product of 28.34
As per the given question, the required solution would be as:
There are many possible multiplication expressions that could result in the product of 28.34. Here are two examples:
28.34 × 1
14.17 × 2
In the first example, the product is 28.34 because any number multiplied by 1 is equal to itself.
In the second example, the product is 28.34 because 14.17 multiplied by 2 is equal to 28.34.
Hence, the required answers are 28.34 × 1 and 14.17 × 2
Learn more about Multiplication operations here:
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#SPJ2
Subtract the linear expressions.
(34x−1)−(13x+4)
What is the difference?
Enter your answer in the box. Enter fractions as simplified fractions.
Answer: 21x-5
Step-by-step explanation:
All you have to do is subtract like you normally would and you'll get the answer
Can someone please tell me the answer to this?
Answer:
look at the picture ..........
Answer:
x³
Step-by-step explanation:
x × [tex]x^{5}[/tex] = [tex]x^{6}[/tex]
[tex]x^{2}[/tex] × [tex]x[/tex] = [tex]x^{3}[/tex]
[tex]\frac{x^6}{x^3}[/tex]= x³
7. Find the rate of change from the table.
0
2
4
13
6
-10
20
50
80
Answer:
multiplying 2 then dividing
Step-by-step explanation:
Which equation has the solution x = 3?
Select each correct answer.
9−3x=0
2x + 4 = 10
9x−1=4
3x + 1 = 9
x3+5=6
5x−7=1
Answer:
First two equations
Step-by-step explanation:
9-3x=0
9=3x
3=x
x=3
2x+4=10
2x=6
x=3
9x-1=4
9x=5
x=5/9
3x+1=9
3x=8
x=8/3
x^3+5=6
x^3=1
x=1
5x-7=1
5x=8
x=8/5
Find the perimeter. Simplify your answer.
Answer:
32a-18
Step-by-step explanation:
add together the side lengths:
10a-1+6a-8+10a-1+6a-8=(10+6+10+6)a+(-1-8-1-8)= 32a-18
Answer:
32a-18
Step-by-step explanation:
you just sum it all together
4x+8=3
help asap
step by step please
[tex]4x +8 =3\\\\\implies 4x = - 5 \\\\\implies x = - \dfrac 54[/tex]
Answer:
x= -5/4
Step-by-step explanation:
4x+8=3
4x=3-8
4x=-5
x= -5/4
Quadrilateral HUJK has coordinates H(2, 3), 1(2, 6), J(-1, -8), and K(-2, 4). If the quadrilateral is
translated and H' (the image point of H) is located at (6, 2), find the coordinates of J' (the
image point of J).
Answer:
Ima troll
Step-by-step explanation:
Y=x-6 y=-x-+4
Substitute please.
Answer:
( 5 , − 1 )
Step-by-step explanation:
How many times does 9 go into 695 with partial quotient divison
The hypotenuse of a right triangle is 5 meters longer than one of its legs. The other leg is 6 meters. Find the length of the other leg, and round to the nearest tenth of an inch.
Answer:
Use Pythagorean theorm.
a^2 + b^2 = c^2 (c is hypotenuse).
Let c = 5+b (because in the question it says the hypotenuse is one leg plus 5 more meters) ; we will solve for b and say it's the leg we don't know.
We will say A is the "other leg" we know, which is 6.
6^2 + b^2 = (5+b)^2
We get b = 1.1
Opps, forget to add picture. 6 minutes left. Pls help, thank you!
Answer:
I don't know sorry please forgive me
Answer:
D
Step-by-step explanation:
mean is 11.25 and midian is 10.50
Please help with this math problem! Will give brainliest!! :)
Answer:
x = 20
y = 70
Step-by-step explanation:
Solve for x:
5x - 20 = 3x + 20
2x - 20 = 20
2x = 40
x = 20°
Solve for y:
x + y = 90°;
(20) + y = 90°
y = 90 - 20
y = 70°
Hope this helps!
given m || n, find the value of x and y.
Answer: x = 56 and y= 56
Step-by-step explanation: 124 + 124 = 248
360 - 248 = 112
112 divided by 2 = 56
35-2x4 to the 2 power
Answer:
I belive the answer is 3.
Step-by-step explanation:
35-2x4^2
35-2x16
35-32
3
Answer:
[tex]1225-140x^4+4x^8[/tex]
Step-by-step explanation:
(35-2x^4)^2 is a form of [tex](a-b)^2=a^2+b^2-2ab[/tex]
Applying this formula, we get 1225+4x^8-140x^4
Which expression shows the distance on the number line between −3 and −10 ?
Answer:
D. |-3 - (-10)|
Step-by-step explanation:
What is the time difference between usa and england?
Answer:
-5 hours
Step-by-step explanation: