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
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:
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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
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.
What is 1/4 of 697 rounder to the nearest integer
Answer:
rounder to the nearest integer is 174
Step-by-step explanation:
1/4 of 697 = 174.25
0.25 is under 0.50
Answer:
174
Step-by-step explanation:
Hey anybody plz help me
thanks
Answer:
D or 11/12
Step-by-step explanation:
5/8 + 3/4 / -2/3 - 5/6
= 11/8 / -9/6
= 66/72
= 22/24
= 11/12
SOLVED
its 160
The table shows the number of mobile cellular subscriptions per 100 people in Australia for different years.
Year | Cellular subscriptions / 100 people
1993 | 4 12 25 33 57 72 90 101 101 108
1995 | 12
1997 | 25
1999 | 33
2001 | 57
2003 | 72
2005 | 90
2007 | 101
2009 | 101
2011 | 108
The quadratic regression equation using the years since 1990 for the input variable and the number of cellular subscriptions for the output variable is y=−0.107x^2+9.008x−28.851
What is the predicted number of cellular subscriptions per 100 people in Australia in 2030?
Round your answer to the nearest whole number. Enter your answer in the box.
Nvm its 160
Answer:
160
Step-by-step explanation:
x represents the years since 1990, so at 2030, x = 2030 - 1990 = 40. Replacing this value into the quadratic regression equation, we get:
y = -0.107(40)^2 + 9.008(40) - 28.851 = 160
which is the predicted number of cellular subscriptions per 100 people in Australia in 2030
I will give you all five stars ⭐⭐⭐⭐⭐
Answer:
omg really;O
Step-by-step explanation:
Please help picture included!!
Use the circle to answer the question.
The formula to find the circumference of a circle is C = 2xr. Use 3. 14 for a.
4 in.
What is the approximate circumference of the circle?
A. 6.3 in.
B. 9.1 in.
C. 12.6 in.
D. 25 in.
E. 50.2 in.
o
Find each pair of similar solids, find the ratio of the volume of the first figure to the volume of the second
Step-by-step explanation:
Scale factor = 4/3. Therefore radius if larger cone = 4r/3 where r is the radius of the smaller cone and height of larger cone = 4h/3 where h is the height of the larger cone.
So ratio of volumes = r^2 * h/(4r/3)^2 * 4h/3) = 9/16 * 3/4 = 27/64
30 is a similar process except it's cylinders so find the scale factor and go on with that problem.
asapppp
What is the lateral area of the rectangular prism
shown below?
a. 128 ft2
b. 135 ft2
c. 238 ft2
d. 504 ft2
FIND the Perimeter of this composite figure.
Answer:54
Step-by-step explanation:54
Find the area. Will mark brainiest.
Answer:
9)Area=64in²
10)Ms.Surruco's classroom
...........................
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
I need answers , I don’t know this math??
PLEASE HELP!!! will give brainliest
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]
Find the measure of x.
15(x+2)
X=-1
x = 7
X = 9
x=13
Answer:
x=7
Step-by-step explanation:
7+2 = 9. 9*15 = 135 degrees
Makayla has 90 minutes to answer 36 questions on a school survey. How many minutes per
question does she have?
Answer:
Makayla has 2 and a half minutes to answer each question.
Step-by-step explanation:
To get two and half you will have to divide 90 from 36 then you get 2 and a half minutes. hope this helps =D
By using division as mathematical operation,
Makayla need 2 and half minutes to answer each question
What is division?"The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication. In simple words, division can be defined as the splitting of a large group into smaller groups such that every group will have an equal number of items. It is an operation used for equal grouping and equal sharing in mathematics."
We have
Number of minutes to answer 36 questions = 90
We have to divide 90 by 36
= [tex]\frac{90}{36}[/tex]
= 2.5 minutes
Hence, By using division as mathematical operation, Makayla need
2 and half minutes to answer each question.
Learn more about division here
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Can someone please help me? I don't know how to do this. I will mark brainliest! Thanks!
Answer:
So it gives you a little picture and tells you what would the question be if you had this graph.
Step-by-step explanation:
The correct answer would be B, find the area because the 4x + 3 is your length and 3x is your length, A = length * width. So the answer is B, find the area.
Answer:
Step-by-step explanation:
A) Length = 4x +3
Width = 3x
Perimeter = 2*(length + width )
= 2*(4x + 3 + 3x) {Add the like terms}
= 2*(7x + 3)
= 2*7x + 2*3
= 14x + 6
B) Area = length * width
= (4x + 3) * 3x
= 4x *3x + 3*3x
= 12x² + 9x
C) x = 8
Perimeter = 14x + 6 = 14*8 + 6 =112 +6 = 118 units
Area = 12x² + 9x = 12*(8)² + 9*8
= 12*64 + 72
= 768 + 72
= 840 square units
Which 2 numbers have a least common multiple of 36?
Answer:
9 and 12,
Step-by-step explanation:
Answer:
nine and twelve (A)
Step-by-step explanation:
The Least Common Multiple of six and fifteen is thirty and the LCM of eight and eighteen is 72, this leaves only A which is correct.
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:
Pythagorean Theorem: Find the diagonal length of the soccer field.
Answer:
6600 yrds
Step-by-step explanation:
sorry if its wrong
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
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
may someone help me out, i having a little bit of trouble.
Which values satisfy the inequality? 2 ≥ y/5 -1
Choose all answers that apply:
A: y=15
B: y=20
C: y=25
Answer:
A is correct, B and C are not!
Step-by-step explanation:
2 ≥ y/5 -1 means 2 is greater than or equal to the number on other side
So try those answers (15, 20, and 25) as y
2≥ 15/5-1
2≥3-1
2≥2
True! So A, 15, works
2≥20/5-1
2≥4-1
2≥3
False! So B, 20, does NOT work!
2≥25/5-1
2≥5-1
2≥4
False! So C, 25, does NOT work!
Hope this helps! Please mark brainiest :)
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.
"Julie has six photos that she has taken, framed and are hanging in a row on the wall. If she wants to rearrange them so that the middle two photos stay in place, how many different ways can she arrange the photos?"
Answer:
Julie has 6 photos that she wants to rearrange.
Two of them are fixed at the middle position.
=> There are 4 photos left for rearranging.
=> This is the permutation with n = 4, k = 4.
=> The number of ways Julie can arrange the photos:
N = 4 x 3 x 2 x 1 = 24 ways
Hope this helps!
:)
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]
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
