Using the slope concept, it is found that the skydiver has at a height of 1257 ft when he jumped.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem:
The vertical change is of x - 5.5, in which x is the skydiver's height.The horizontal change is of 1050 ft.The angle is of 50º.Hence:
[tex]\tan{50^\circ} = \frac{x - 5.5}{1050}[/tex]
[tex]x - 5.5 = 1.19175359259 \times 1050[/tex]
[tex]x = 1257[/tex]
The skydiver has at a height of 1257 ft when he jumped.
More can be learned about the slope concept at https://brainly.com/question/18090623
Find the sum of the interior angles of a polygon with 20 sides
Answer:
3240°
Step-by-step explanation:
The sum of the interior angles of a polygon is found by (n-2)(180) where n is the number of sides so (20-2)(180) = (18)(180) = 3240°
After four years of college, Erica has to start paying off all her student loans. Her first payment is due at the end of this month. Her bank told her that she has 7 years to pay off all of her loans, and that starting this month, the loans will be compounded monthly at a fixed annual rate of 9.1%. Erica currently has a total of $34,006.00 in student loans. Use the formula for the sum of a finite geometric sequence to determine Erica's approximate monthly payment.
Answer:
Therefore, the approximate monthly payment is $548.85
Step-by-step explanation:
The amount of student loans Erica currently has = $34,006.00
The duration over which Erica is to pay back the loan = 7 years
The annual interest rate for the loan = 9.1%
Therefore, we have the geometric sequence formula is given as follows;
[tex]A_n = P( 1 + r)^n - M \times \left [ \dfrac{(1 + r)^n-1}{r} \right ][/tex]
Where;
M = The monthly payment
P = The initial loan balance = $34,006.00
r = The annual interest rate = 9.1%
n = The number of monthly payment = 7 × 12 = 84
Aₙ = The amount remaining= 0 at the end of the given time for payment
Substituting the values into the above formula, , we get;
[tex]0 = 34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84} - M \times \left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ][/tex]
[tex]M = \dfrac{34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84} }{\left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ]} \approx 548.85[/tex]
Therefore, the approximate monthly payment = $548.85
3 over 7 of 2 over 7 is equal to
[tex] \frac{ \frac{3}{7} }{ \frac{2}{7} } = \frac{3}{7} \div \frac{2}{7} = \frac{3}{7} \times \frac{7}{2} = \frac{3}{2} \\ [/tex]
Jasmine has $700 in her checking account at the beginning of the school year at college. She
predicts that she will need $30 a week for food and traveling expenses. She wants to have at least
$250 in her account. For how many weeks can she withdraw money from her account?
Answer:
15 weeks
Step-by-step explanation:
Answer:
15 Weeks
Step-by-step explanation:
Let's Begain
starts with $700
she will need $30 per week
Wants atleast $250 left in her account
700 - 250 = 450/30= 15
You are at a trade show where you are selling baseball cards for $4 a card and buying baseball cards for $6 a card. If you started the day with $200, how much money do you have at the end of the day if you sold c baseball cards and bought b baseball cards?
Answer:
200 +4c -6b
Step-by-step explanation:
Your ending balance is the sum of your beginning balance plus sales, less your purchases. If each sale nets $4, then c sales will increase your balance by 4c. If each purchase costs $6, then b purchases will reduce your balance by 6b.
Your ending balance is ...
200 +4c -6b
Consider a post office with two clerks. Three people, A, B, and C, enter si- multaneously. A and B go directly to the clerks, and C waits until either A or B leaves before he begins service. What is the probability that A is still in the post office after the other two have left when
Answer:
0
Step-by-step explanation:
For the linear relation y= 2x + 5, the x-intercept is -2/5
True
False
Answer:
False
Step-by-step explanation:
Every linear equation in two variables can be written as y=mx+c.
Here, for each value of x there is a unique value of y.
Also, x & y are in direct variation.
Hence, xy will always remain constant.
Consequently, the graph will maintain a definite slope making it a straight line.
∴ The given statement is false.
Answer:
False
Step-by-step explanation:
=> y = 2x + 5
=> y - 2x = 5
=> - 2x + y = 5
=> (-2x + y) = 5
=> (-2/5)x + y/5 = 1
=> x/(-5/2) + y/5 = 1, it is in form of x/a + y/b = 1, a is intercept of x.
So, here, x intercept is -5/2.
Method 2;
=> y = 2x + 5
=> y = 2(x + 5/2)
=> y = 2{x - (-5/2)}, says, x intercept is - 5/2 & not - 2/5
Which lunch box holds more? HELP image included
Answer:
lunch box a
Step-by-step explanation:
brainliest pls :3
PLEASE HELP!!
(x+3)(x−2)/(x+7)² ≥0
Answer:
Step-by-step explanation:
Use a calculator to solve the following equation for θ on the interval [−90∘,90∘]. Sin(θ)=34
The value of θ from the given equation is 48.59degrees
Trigonometry identityGiven the trigonometry function
Sin(θ)=3/4
We are to find the value of theta that will make the expression true
Take the arcsin of both sides
arcsin Sin(θ)= arcsin(3/4)
θ = arcsin(3/4)
θ = 48.59
Hence the value of θ from the given equation is θ = 48.59 defense
Learn more on trig identity here:https://brainly.com/question/7331447
Jennifer drove 450 miles back home to Maine. If she drove this in 6 hours, what was her unit rate?
Answer:
the unit rate was 75
Step-by-step explanation:
i did 450 divided by 6 =75
she drove 75 miles per hour
Crystal said she used the distributive property to evaluate 5(4 + 7). These are the steps she took:
5(4 + 7) = 5⋅4 + 7 = 20 + 7 = 27
What mistake did Crystal make? What is the correct answer to 5(4 + 7)?
Type a paragraph
Answer:
Crystal's mistake was that she distributed the 5 only to the 4, not to the 7 as well.
The correct step should have been 5(4 + 7) = 5⋅4 + 5⋅7.
Using the distributive property correctly would give the sum of the two products, 20 + 35. The value of 5(4 + 7) is 55.
The value of 5(4 + 7) is 55.
It is required to find the correct answer.
What is simplification?Simplification means simplifying processes involved in work towards consistency of efforts, costs and time. It eliminates useless and disadvantageous (or unnecessary) diversity and variety.
Given that:
By the Distributive Property
If a, b, c are real numbers, then
a*(b+c)=a*b+a*c
Crystal's did mistake was that she distributed the 5 only to the 4, not to the 5 to 7 as well.
First distribute and then multiply, we get
The correct step should have been
= 5(4 + 7)
= 5⋅4 + 5⋅7.
= 20 + 35.
= 55
Therefore, the value of 5(4 + 7) is 55.
Learn more about simplification here:
https://brainly.com/question/18612758
#SPJ5
The solution of a+b>12 is a>-3. What is the value of b?
Answer:
b>12-a
Step-by-step explanation:
Answer:
its b>12
Step-by-step explanation:
Evaluate.
781
1.8
2.10
3.11
4.9
Answer:
9 is the answer u are looking for square root
Here’s an algebra problem 20 points will mark brainliest if correct!!!
Answer:
y = 12/7xStep-by-step explanation:
Given A graph with points A, B, C, D and ETo findEquation of the line through the points C and DSolutionWe'll get the coordinates of the points C and D first and find slope and y-intercept
As per the graph, the coordinates are:
C = (0, 0) and D (7, 12)Formula of the line
y = mx + bSlope is
m = (12 - 0)/(7 - 0) = 12/7y- intercept is 0 as per point CSo the line is
y = 12/7xI’m backkkkkkkk
Arrange the tiles
Write a paragraph that explains
X+72892039383=7282920202029838392920303030 d;p
Free points?!?! Sjisjsusdn disnsbsjd sjsjsjjsd dudjsjd sjsjsjjsd dhjdbsvsbssk usjsjdjdn sdudjsbdj dudjsjdjsobdud djsjdndbdun flight g g. Finding. Finding fouled. Dozen foams fouled hsjsjsjs we see s e e. E e e e e
Una dos tres Quattro cinco diese ceiento
1.
2.
3.
Choose all that apply
I will make brainliest if
Help please
What’s the length of
I’m having a really hard time rn
What is the range of the function
Explain your answer
Research paper
Thanks!
Thanks
thanks
History
African American
Experiences
Justice
Identify
Social
Women
Which factors push cultures to change over time
Population
Distribution
Trade
Growth
Technology
Properties of algebra
Find the sum of
HELP PLEASE!!!
If angle X and angle Y are a Linear Pair, what can be stated about the two angles?
A. Angle X and angle Y are both obtuse
B. Angle X and angle Y are complementary
C. Angle X and angle Y are supplementary
Answer:
C
Step-by-step explanation:
linear pairs equal up to 180°, so the 2 angles must be supplementary, meaning it adds up to 180°.
The modified expression, x3(2x 5) – 4(2x 5), has two terms with a common factor of.
Answer:
Step-by-step explanation:
You need to use the distributive property to take out the common factor. But that doesn't tell you what the common factor is.
Look inside the brackets. You need to find something that is exactly the same on either side of the minus sign. In this case you have a huge cle about what it is.
2x^5 is it not? I'm assuming that's the correct way to read it.
So that's the answer to your question 2x^5.
The distributive property will tell you that 2x^5 can be taken out, and what is left is
2x^5 ( x^3 - 4)
The measures of the angles of a triangle are shown in the figure below . Solve for x
To hire a tutor, Abelia will pay $35 per hour plus a materials fee of $10. She will only pay the materials fee one time. The equation c = 10 + 35h can be used to represent this situation where c is the total cost and h is the number of hours Abelia hires the tutor.
Answer:
Yes! C=10+35h is correct!
Step-by-step explanation:
Yes, equation is correct!
$10 is fixed one time fee.$35 is hourly pay.
So, if she needs tutor for 'h' hours, the variable cost is $35h
So, total cost C =10+35h
Which expression would be easier to simplify if you used the associative property to change the grouping
Answer:
A it is so simple just try it
Answer: C
Step-by-step explanation:
What is the square root of -1?
Answer:
i
Step-by-step explanation:
Zero has one square root which is 0. Negative numbers don't have real square roots since a square is either positive or 0. The square roots of numbers that are not a perfect square are members of the irrational numbers. This means that they can't be written as the quotient of two integers.
the answer is i
Step-by-step explanation:
for real this is true
What is the area of the following figure?
Answer:
180 units
Step-by-step explanation:
Write 5 x 10 to the 6th power in standard notation.
Answer: 5*10^6
10^6 = 1,000,000 or you can write it as 1 with 6 zeros.
I hope this helps you out.
The sand in an hourglass drops at a constant rate of 2.5 cubic millimeters ( mm3 ) every second. The amount of sand that drops, y , in mm3 , is a function of time, x , in seconds.
For the input values of 0 , 2 , and 6 , determine the matching outputs. Graph the inputs of 0 , 2 , and 6 and their corresponding outputs as ordered pairs, represented by points on the coordinate plane.
Keyboard Instructions
Initial graph state
The horizontal axis goes from -1 to 25 with ticks spaced every 1 unit(s).
The vertical axis goes from -1 to 18 with ticks spaced every 1 unit(s).
Created graph shapes
Point with coordinates (-1, 0).
Point with coordinates (-1, 0).
i Just need the graph points
Answer:
Step-by-step explanation:
In the graph, y is the amount of sand in mm^3 and x is time in seconds.
They are directly related as the sands drops at a constant rate of 2.5 cubic millimeters ( mm^3 ) every second.
So y = 2.5x
Input x=0, output is y=0
The first point is (0, 0)
Input x=2, y=2.5*2=5
The second point is (2, 5)
Input x=6, y=2.5*6=15
The third point is (6, 15)
Han ran 10 meters in 2.7 seconds. Priya ran 10 meters in 2.4 seconds. How long would it take han to run 50 meters.
Hans would take 13.5 seconds to run 50 meters
Priya would take 12 seconds to run 50 meters
--------------------------------------------------------------------------------
Since they each ran 10 meters for a certain amount of time you would multiply the seconds by 5 since 10x5=50
When you do that you get
13.5 for Han's time by multiplying 2.7x5=13.5
and
12 seconds for Priya's time by multiplying 2.4x5
1. Find the product of 8,412 x 43 2. A jewelry store has 8/10 of gold. They Need 1/5-ounce groups. how many groups do they need?
3. on every 6th day Angelique goes to the gym to exercise. every 7th day Bentley goes to the gym to exercise. what is the First day Angelique And Bentley will be at gym on the same day?
Answer:
1. 361716 2. 4 3. ?
Step-by-step explanation:
The product of two consecutive positive even integers is 24. Find the integers.
Answer:
The two consecutive even integers
:
(
4
,
6
)
or
(
−
6
,
−
4
)Step-by-step explanation:
n
and
n
−
2
be the two consecutive even integers,where
n
∈
Z
Product of
n
and
n
−
2
is 24
i
.
e
.
n
(
n
−
2
)
=
24
⇒
n
2
−
2
n
−
24
=
0
Now,
[
(
−
6
)
+
4
=
−
2
and
(
−
6
)
×
4
=
−
24
]
∴
n
2
−
6
n
+
4
n
−
24
=
0
∴
n
(
n
−
6
)
+
4
(
n
−
6
)
=
0
∴
(
n
−
6
)
(
n
+
4
)
=
0
∴
n
−
6
=
0
or
n
+
4
=
0
...
→
[
n
∈
Z
]
⇒
n
=
6
or
n
=
−
4
(
i
)
n
=
6
⇒
n
−
2
=
6
−
2
=
4
So,the two consecutive even integers
:
(
4
,
6
)
(
i
i
)
)
n
=
−
4
⇒
n
−
2
=
−
4
−
2
=
−
6
So,the two consecutive even integers
:
(
−
6
,
−
4
)
185285468+99548-19576+754
Answer:
[tex]\sf\fbox\red{Answer:-}[/tex]
185366194
[tex]\small\fbox{\blue{\underline{mαrk \; mє \; вrαínlíєѕt \; plєαѕє ♥}}}[/tex]
I'm unsure of what the answer to this is.
Answer:
your answer is definitely B
Step-by-step explanation:
Is this sequence arithmetic or geometric? And what is the equation? 301, 358, 415, 472…
Answer:
a_n = 244 + 57n, for n ≥ 1
Step-by-step explanation:
358 - 301 = 57
415 - 358 = 57
472 - 415 = 57
There is a constant difference, so the sequence is arithmetic.
a_1 = 301
a_2 = 358 = a_1 + 57
a_3 = 415 = a_1 + 57 × 2
a_4 = 472 = a_1 + 57 × 3
a_n = a_1 + 57 × (n - 1)
a_n = 301 + 57(n - 1)
a+n = 301 + 57n - 57
a_n = 244 + 57n, for n ≥ 1