Answer:
Step-by-step explanation:
x³ - 4x² + 7x - 28 = x³ - 4x² + 7x - 7*4
= x²(x - 4) + 7(x - 4)
= (x - 4 )(x² + 7)
a) From where Jacob and his family have set up camp to the base of the mountain is 2,000 feet.
The angle of elevation formed from the campsite to the top of the mountain is 54. How tall
is the mountain?
b)
Jacob and his dad end up hiking up to the top. If the base of the mountain is 2.600 feet wide,
what is the total distance that Jacob and his dad hiked from their campsite to the top of the
mountain?
c)
From the top of the mountain, Jacob sees a building at an angle of depression of 24 to the
bottom of the building. How far away from the campsite is the building?
Answer:
A.) 2752.8 feet
B.) 5044.3 feet
C.) 6182.9 feet
Step-by-step explanation:
A.) Given that the camp to the base of the mountain is 2,000 feet. And the angle of elevation is 54 degrees
Using SohCahToa, to calculate the height
Tan 54 = height/2000
Height = 2000 tan54 = 2752.8 feet
B.) Given that the base of the mountain is 2600 feet wide.
Let use pythagorean theorem to find the slant length
Adjacent = 2600/2 = 1300 feet
Slant length = root ( 1300^2 + 2752.8^2)
Slant length = 3044.3 feet
The total distance that Jacob and his dad hiked from their campsite to the top of the mountain will be
3044.3 + 2000 = 5044.3 feet
C.) Given that the angle of depression is 24 degrees while the height is 2752.8 feet
Using pythagorean theorem again
Tan 24 = 2752.8/distance
Distance = 2752.8/tan24
Distance = 6182.9 feet
The height of the mountain for the following conditions are as follows:
A.) 2752.8 feet
B.) 5044.3 feet
C.) 6182.9 feet
What is Angle of Elevation?The angle of elevation is an angle that is formed between the horizontal line and the line of sight.
A.) Given that the camp to the base of the mountain is 2,000 feet. And the angle of elevation is 54⁰
To calculate the height
Tan 54⁰ = height/2000
Height = 2000 X tan54⁰ = 2752.8 feet
B.) Given that the base of the mountain is 2600 feet wide.
Let use pythagorean theorem to find the slant length
Adjacent = 2600/2 = 1300 feet
Slant length = √ ( 1300^2 + 2752.8^2)
Slant length = 3044.3 feet
The total distance that Jacob and his dad hiked from their campsite to the top of the mountain will be
3044.3 + 2000 = 5044.3 feet
C.) Given that the angle of depression is 24⁰ while the height is 2752.8 feet
Using Pythagorean theorem again
Tan 24⁰ = 2752.8/distance
Distance = 2752.8/tan24⁰
Distance = 6182.9 feet
Thus, the height of the mountain for the following conditions are as follows:
A.) 2752.8 feet
B.) 5044.3 feet
C.) 6182.9 feet
Learn more about Angle of Elevation from:
https://brainly.com/question/16716174
#SPJ5
What is the measure of theta in radians?
Enter an exact expression.
Answer: pi/3 radians
Step-by-step explanation:
0= arc length/radius
0= pi/3 radians
Evaluate.
Remember Order of Operations!
PEMDAS)
100 = 5 x
(4 + 2)
ANSWER: 100=5*6
100=30
HOPE IT HELPS!
Answer:
x = 3 1/3
Step-by-step explanation:
Let's go over the order of operations.
P: Parentheses
E: Exponents
M/D: Multiplication/division (in order of appearance)
A/S: Addition/Subtraction (in order of appearance)
100 = 5*(4 + 2)
Since there are values in parentheses, solve those first: 100 .= 5x(6).
Next, multiply 5x by 6. 100 = 30x.
Finally, divide each side by 30 to find the value of x. 3 1/3 = x
Therefore, the value of x is 3 1/3.
(Note: this is assuming the term "x" is a variable, and not the multiplication sign, *.)
help plz will mark brainliest :)
Answer:
c
Step-by-step explanation:
subtract b from both sides
divide by x
each Stone in Ali's collection weighs about 4 oz her collection way about 24 lb in all how many stones are in Ali's collection
Answer:
The answer is 96
Step-by-step explanation:
4 oz = 0.25 lb so 0.25*24 = 96
need answer as soon as possible
Answer:
I think it would be 65 degrees
Step-by-step explanation:
If the side of Line q and line k is 115 degrees and its the same for line m and line k, then all you have to do is take 180 and subtract 115 from it to get the other side of the angle.
A rectangular flower garden in Samantha's backyard has 100 feet around its edge. The width of the garden is 20 feet.
What is the length of the garden?
Answer:
Step-by-step explanation:
Total= 100 Ft
Width= 20
Length=?
Total - Width = Length
100 - 20 =
80 Length Of the Garden
A cube has a volume of 0.216 ft?. What is the length of each side of the cube?
Answer:
the answer is 0.054
I will give you all five stars ⭐⭐⭐⭐⭐
Answer:
omg really;O
Step-by-step explanation:
Which math sentence can be used to determine if this triangle is a right triangle?
Side 12
Side 15
Side 18
12+ 15 = 18
122+ 152 = 182
12+18 = 15
122+ 182 – 152
Answer:
12^2 + 15^2 = 18^2
Step-by-step explanation:
If we have 3 sides of a triangle we can use the Pythagorean theorem to determine if the triangle is a right triangle
a^2 + b^2 = c^2
12^2 + 15^2 = 18^2
If this is true, then the triangle is a right triangle
Answer:
Step-by-step explanation:
i think it is b
05.01 MC)
What is the equation in point-slope form of the line passing through (0, 5) and (−2, 11)? (5 points)
Question 4 options:
1)
y − 5 = −3(x + 2)
2)
y − 5 = 3(x + 2)
3)
y − 11 = −3(x − 2)
4)
y − 11 = −3(x + 2)
Mr. Morris asked Rob to shovel the snow from his driveway every day that it snowed during the month of January. He agreed to pay Rob $0.01 for the first day, $0.02 for the second day, $0.04 for the third day, $0.08 for the fourth day, and so on. If it snowed for 13 days in January, how much would Mr. Morris pay Rob on the 13th day?
Do not answer if you do not know. Only good answers with explanations.
Answer:
Total amount to be paid on 13th day is $40.96.
Step-by-step explanation:
Mr. Morris pays Rob $0.01, $0.02, $0.04 ..... on 1st, 2nd , 3rd .... day respectively.
We can clearly see that the next number is becoming double of the previous value.
The above sequence of numbers are in a Geometric Progression with
First term, a = 0.01 and
Common ratio, r = 2
We have to find the total amount paid on 13th day.
We know that the [tex]n^{th}[/tex] term of a GP is given by:
[tex]a_{n} =ar^{n-1}[/tex]
Where, a is the first term of GP
r is the common ratio
We have to find the [tex]13^{th}[/tex] term of the GP as per question statement.
Putting the values in the formula above:
n = 13
a = 0.01 and
r = 2
[tex]a_{13} = 0.01 \times 2^{13-1}\\\Rightarrow 0.01 \times 2^{12} \\\Rightarrow 0.01 \times 4096\\\Rightarrow 40.96[/tex]
Total amount to be paid on 13th day is $40.96.
PLEASE HELP!!! will give brainliest
Find the area of the shape shown below.
Answer:
44.5
Step-by-step explanation:
(1 x 12) + (5 x 13)/2 = 44.5
Answer: 44,5 cm2
Step-by-step explanation:
Rektangel:
1 × 12 = 12 cm2
triangel:
13 × 5 = 65 cm2
78 ÷ 2 = 32,5 cm2
Area:
32,5 + 12 = 44,5 cm2
Which table of ordered pairs represents a proportional relationship?
Answer:
The first table
Step-by-step explanation:
Because both side -1 every time.
Answer: C
Step-by-step explanation:
It represents a proportional relationship because each time they add two
9) A cooler contains eight bottles of sports
drink: four lemon-lime flavored and four
orange flavored. You randomly grab a
bottle and give it to your friend. Then,
you randomly grab a bottle for yourself.
You and your friend both get lemon-lime.
Are the events independent or dependent?
What is the probability?
Answer:
dependent. 2/8=1/4
Step-by-step explanation:
When Lori was born she weighed 7 1/2 pounds. There
are 16 ounces in every pound. What was Lori's weight
in ounces? Solve this problem any way you choose.
Answer:
Lori weight in ounces is 120
Step-by-step explanation:
(7 x 16)+ (1/2 x 16) = 120
What is the length of AR if the radius of the circle is 6 cm?
Step-by-step explanation:
[tex]arc \: length \: = \frac{theta}{360} \times 2\pi \: r \\ here \: theta \: = 105 \: degrees \: \: \: \: and \\ radius \: = 6 \: cm \\ on \: substituting \: the \: values \: in \: formula \\ = \frac{105}{360} \times 2\pi \: \times 6 \\ = \frac{105}{360} \times 12\pi \\ = \frac{105}{30} \times \pi \\ = 3.5 \times \pi \\ = 3.5 \times 3.14 \\ = 10.99 \\ arc \: length \: = 11.0 \: \: (approximately)[/tex]
Write an equation in slope-intercept form for the line that passes through (−5,−2) and is perpendicular to the line described by y=5/3x+2.
Answer:
Step-by-step explanation:
y + 2 = (-3/5)(x + 5)
y + 2 = (-3/5)x - 3
y = (-3/5)x - 5
asapppp
What is the lateral area of the rectangular prism
shown below?
a. 128 ft2
b. 135 ft2
c. 238 ft2
d. 504 ft2
The circle above has a radius of 12 cm. What is the area of the circle? Use = 3.14
Answer:
452.39
Step-by-step explanation:
C=[tex]\pi[/tex]r 2
C= 3.14 times 12(2)
Look at the attached picture
Hope it will be helpful to you...
How to solve this equation and check it. a - 2.5 = 4.5?
Answer:
Step-by-step explanation:
a - 2.5 = 4.5
2.5 = 2.5
a = 7.0 or 7
7.0 - 2.5 = 4.5
4.5 = 4.5
If a wiggling string has a natural frequency of 34.5 Hz to produce 4 harmonics, what is the period of the string?
Answer:
[tex] T = \frac{1}{f}[/tex]
And replacing we got:
[tex] T = \frac{1}{34.5 Hz}= 0.0290 s[/tex]
And then we can conclude that with the conditions given the period of the string would be 0.0290 s
Step-by-step explanation:
For this case we know the frequency associated to the 4 harmonic.
We know that by definition the frequency is the inverse of the period:
[tex] f= \frac{1}{T}[/tex]
If we solve for the period we got:
[tex] T = \frac{1}{f}[/tex]
And replacing we got:
[tex] T = \frac{1}{34.5 Hz}= 0.0290 s[/tex]
And then we can conclude that with the conditions given the period of the string would be 0.0290 s
Which ratio is equivalent to the scale kom?
1:50
1:51
50:1
49:50
Answer:
50;1
Step-by-step explanation:
cause
The circumference of the inner circle is 22 ft. The distance between the inner circle and the outer circle is 4 ft. By how many feet is the circumference of outer circle greater than the circumference of the inner circle? Use 22/7 for pi.
(Two circles have the same center. One circle lies inside of the other. The distance between the two circles is labeled 4 feet.
4 ft)
The circumference of outer circle is about
____ ft greater than the circumference of the inner circle.
(Round to the nearest tenth as needed.)
HOW MANY FEET GREATER IS THE CIRCUMFERENCE OF THE OUTER CIRCLE THAN IT IS OF THE THE INNER CIRCLE *ROUND TO THE NEAREST TENTH*
answer fast please!
Answer:
25.1
Step-by-step explanation:
1. Find the radius of the inner circle
(the formula for the circumference of a circle is [tex]C=2\pi r[/tex])
To find the radius of the inner circle, you would plug in the given information so that your equation looks like this:
[tex]22=2(\frac{22}{7} )r[/tex]
then solve for [tex]r[/tex]
[tex]r=3.5[/tex]
2. add [tex]4[/tex] to the radius of the inner circle
[tex]3.5+4=7.5[/tex]
3. find the circumference of the outer circle using [tex]7.5[/tex] as the radius
[tex]C=2(\frac{22}{7})7.5[/tex]
[tex]C=47.1[/tex]
4. Subtract the circumference of the inner circle from the circumference of the outer circle
[tex]47.1-22=25.1[/tex]
What is the volume of the cone below?
Find the area of the shape shown below.
Answer:
42
Step-by-step explanation:
12+(5(12))/3
42
Answer:
42
Step-by-step explanation:
[tex]A = \frac{a+b}{2} h[/tex]
[tex]A = \frac{1+6}{2} 12[/tex]
[tex]A = \frac{7}{2}12[/tex]
[tex]A=7*6[/tex]
[tex]A = 42[/tex]
At the amusement park each students is given $16 dollars for food. This covers the cost of 2 meals plus $4 for snacks. how much money does the school expect each student to spend per meal. Which equation can be used to represent this situation? plz help now if u can
Answer:
16 = 2x + 4
Step-by-step explanation:
The total amount of money they are given is $16. That is split up into 2 equal groups with 4 left over. So you'd have to subtract 4 from both sides. Then divide both sides by 2. This will give you the answer to how much money they expect the students to spend on food.
Question 25
.........................................................
Answer:
its c
Step-by-step explanation:
Find the area of the kite.
56 mm 2
40 mm 2
30 mm 2
80 mm 2
Answer:
30 mm 2
Step-by-step explanation:
