Answer:
625 miles
Step-by-step explanation:
250/4=62.5
62.5*10 = 625
Answer:
Below.
Step-by-step explanation:
There are 6 * 10 minutes in 1 hour and 4*6 = 24 10minutes in 4 hours.
So in 10 minutes she travels 250 / 24
= 10.417 miles to nearest thousandth.
Use the zero product property to find the solutions to the equation x2 – x – 6 = 0.
Answer:
x=3 and x=-2 is the root of given eq
Answer:
Use the zero product property to find the solutions to the equation x2 – x – 6 = 0.?
x = –2 or x = 3 is the answer
Step-by-step explanation:
using data from 2010 and projected to 2020, the population of the United Kingdom (y, in millions) can be approximated by the equation 10.0y-4.55x=581. where x is the number of years after 2000 what is projected population in 2026?
Answer:
The projected population in 2026 is of 699.3 million.
Step-by-step explanation:
Population:
The population, in x years after 2000, is given by the follwing equation:
[tex]y - 4.55x = 581[/tex]
That is:
[tex]y(x) = 4.55x + 581[/tex]
What is projected population in 2026?
2026 - 2000 = 26, so this is y(26).
[tex]y(26) = 4.55(26) + 581 = 699.3[/tex]
The projected population in 2026 is of 699.3 million.
Keith is looking at a cliff. He determines that the angle of elevation to the top is 70° from where he is at. 70m away from Keith, Alan estimates the angle between the base of the cliff, himself, and Keith to be 29° while Keith estimates the angle between the base of the cliff, himself, and Alan to be 48°. What is the height, h, of the cliff to the nearest tenth of a metre?
1) 78.8m
2) 83.9m
3) 89.0m
4) 95.7m
This question completely baffled me on my homework, I still haven't done it because I don't even know how to approach it (Since it's a 3D problem)
Please help me out
Also, this homework is due in an hour so I'm starting to sweat
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.
Tamara uses a coupon to save 20% off her purchase at the bookstore. The original cost of Tamara's purchase is d dollars.
Which expressions represent the cost, in dollars, of Tamara's purchase after using the coupon? Choose all that apply.
Answer:
The equation would be d - (d×0.2)
Which ones are correct?
Answer:
Th answer is D
Step-by-step explanation:
if jane give £2 pounds to charlotte they will have equal amount of money. instead
charlotte give £4 to jane the ratio of jane's money to charlotte will be 2:1. how much
do jane and charlotte each have to start with
you toss six coins at the same time. how many possible outcomes are there?
64
36
12
6
Answer:
64 outcomes
Step-by-step explanation:
Let the number of coins be n.Let the number of outcomes per coin be X.Given the following data;
Number of coins = 6
Number of outcomes for a single coin = 2
A single coin comprises of a head (H) and a tail (T), thus, the number of outcomes for a single coin is two (2).
To find how many possible outcomes we would have from tossing six coins at the same time, we would use the following formula;
[tex] Number \; of \; outcomes = X^{n} [/tex]
Substituting the values, we have;
Number of outcomes = 2⁶
2⁶ = 2 * 2 * 2 * 2 * 2 * 2
2⁶ = 64
Number of outcomes = 64
Therefore, the number of outcomes for a single coin tossed at the same time is equal to sixty four (64). It would have a total of 32 heads (H) and a total of 32 tails (T).
the product of 2 numbers, p and q, decreased by 3 times their sum. (as an algebraic expression)
Answer:
3 - (p*q) im not sure lol
Step-by-step explanation:
Are the triangles congruent? Why or why not?
Answer:
ffffffssssssssssssssssscv
Step-by-step explanation:
Calculating area of rectangle
Your measurments Another student's measurements
Length (cm) 20.70 20.74
Width (cm) 10.44 10.46
Area (cm2)
Required:
Why might two students have different calculated areas when measuring the same rectangle?
Answer:
[tex]Area = 216.108cm^2[/tex] --- You
[tex]Area = 216.940cm^2[/tex] --- Another student
Reason: Because there is a variation in the given dimensions
Step-by-step explanation:
Given
Your measurement
[tex]Length = 20.70cm; Width =10.44cm[/tex]
Another students'
[tex]Length = 20.74cm; Width =10.46cm[/tex]
Solving (a): The area
Area is calculated as:
[tex]Area = Length * Width[/tex]
For you
[tex]Area = 20.70cm * 10.44cm[/tex]
[tex]Area = 216.108cm^2[/tex]
For the other student
[tex]Area = 20.74cm * 10.46cm[/tex]
[tex]Area = 216.940cm^2[/tex]
Solving (b): Reason for the variation in the areas
The given measurements are estimates of the dimensions of the rectangle.
Since there is a variation in the estimates, there will be some level of variation in the calculated area.
Simplify the given expression and enter in numerical form.6+5
Answer:
6+5=11
Step-by-step explanation:
6 is added to 5
i am sorry if i am wrong
ACTIVITY 1 Directions: Interpret these circle graphs
A. The pie graph below shows what a normal human body is made of.
Questions:
1. As shown in the graph,what composes the human body?
2. Which makes up the greatest part of the human body? the least?
Step-by-step explanation:
1) it is composed of 20% of fat, 17% of bone, 50% of muscle and 13% others(minerals)
2) muscle makes up the greatest part and the minerals makes up the least.
hope it heals u.
make me brain list Pls.
Find the slope in each line
find the probability of spinning an A 3 times
By the distributive law, 49 * 17 + 49 * 3 =
Answer:
980
hope it helps
Jake wants to surprise his parents with a small anniversary party at their favorite restaurant.
It will cost $35.75 per person for dinner, including tip and tax.
His budget for the party is $600.
What is the maximum number of people Jake can have at the party without exceeding his budget?
Answer:
16 people
Step-by-step explanation:
35.75 times 16 is 572, times 17 is 607.75, he only has 600 and he cant have a fraction of a person, so he can have 16 people
5x + 7y = 42 I need to find the x−and y−intercepts.
Answer:
Y intercept = (0;6)
X intercept = (42/5;0)
Choose all of the symbols that make the following sentence true.
4 ^0 ___ 5 ^-1
=
<
≥
≤
≠
>
Answer:
≠ and >
Step-by-step explanation:
_________________
Two functions are shown in the table below f(x) equals -X squared plus 4X +12 And G(x)
equals X +2
Answer:
[tex]x = -2; x = 5[/tex]
Step-by-step explanation:
Given
[tex]f(x) = -x^2 + 4x + 12[/tex]
[tex]g(x) = x +2[/tex]
Required
For what value of x is: [tex]f(x) = g(x)[/tex]
[tex]f(x) = g(x)[/tex] implies that
[tex]-x^2 + 4x + 12 = x + 2[/tex]
Collect like terms
[tex]-x^2 + 4x -x + 12 -2 = 0[/tex]
[tex]-x^2 + 3x + 10 = 0[/tex]
Expand
[tex]-x^2 + 5x-2x + 10 = 0[/tex]
Factorize
[tex]-x(x - 5)-2(x - 5) = 0[/tex]
Factor out x - 5
[tex](-x - 2)(x - 5) = 0[/tex]
Solve for x
[tex]-x - 2 = 0; x - 5 = 0[/tex]
So:
[tex]x = -2; x = 5[/tex]
Write the slope-intercept form of the equation of the line through the point (-1,-4) with the slope of 6.
Answer:
y-y1=m(x-x1)
y+4=6(x+1)
y=6x+2
Please help me please please I really need help please please
A moving company charges $30 plus $0.15 per mile to rent a moving van. Another company charges $15 plus $0.20 per mile to rent the same van. For how many miles will the cost be the same for the two companies? Write and solve an equation.
(d) 4 – 0.2 x (0.4 + 0.7)
Answer:
4d - 0.22
Step-by-step explanation:
Circle O has a circumference of approximately 25077 ft.
Nhat is the approximate length of the diameter o?
40 ft
O 80 ft
0 125 ft
250 ft
Answer:
7,982 ft
Step-by-step explanation:
c = πd
25077 = πd
Divide both sides by π
25077/π = d
d = 7,982 ft
----------------------
I think the 25077 number in the question might be a typo
Just divide the correct number by 3.14 to get the diameter.
please help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
the correct answer is marked
Step-by-step explanation:
The circle with center (h, k) and radius r has equation ...
(x -h)² +(y-k)² = r²
For the given center, that is ...
(x -1)² +(y +1)² = r²
The value of r² can be found by using the given point for x and y, and seeing what value of r² makes the equation true.
(5 -1)² +(7 +1)² = 4² +8² = 16 +64 = 80
So, r² = 80 makes the equation true, and that equation is ...
(x -1)² +(y +1)² = 80
Which of the following is a characteristic of a plane
Answer:
I think you meant to add a list of answers but didn't so here's the characteristics of a plane: Flat, two dimensional, extends infinitely, and is assembled about multiple points and lines.
Step-by-step explanation:
Answer:
If you are taking the FLVS test it is "Two endpoints"
Step-by-step explanation:
Just took the test
hope it helps :)
QUESTION 14 · 1 POINT
Translate the English phrase into an algebraic expression: 6x less than 81xsquared
Answer:
Step-by-step explanation:
81x² - 6x
Answer:
81x² - 6x
Step-by-step explanation:
81x² - 6x
PLEASE HELP ASAP PLSSSSS !!!
Answer:
133 answer ---------------------------------------- helpful answer
Help me out plsssssss
Answer:
125
Step-by-step explanation:
the bearing of b to a is equal to 85+45
factorise y^3- 7y+6
Answer:
(y−1)(y−2)(y+3)
Step-by-step explanation:
Factor y3−7y+6
y3−7y+6
=(y−1)(y−2)(y+3)
Answer:
(y - 2) (y-1) (y+3)
Step-by-step explanation:
y³-7y+6
= y³ +2y² - 2y² - 3y - 4y +6
= ( y³ +2y² - 3y) - (2y² + 4y -6)
= y( y² +2y -3) - 2( y² + 2y -3)
= (y² +2y -3)(y-2)
= ( y² +3y -y -3)(y-2)
= [ y( y+3) -(y+3)] ( y-2)
= (y-1)(y+3)(y-2)
1. Jeremy has $12000 cash to invest in the bank compounded at 4% interest annually.
a.
What equation will calculate the value in x years? y =
Answer:
[tex]A(x) = 12000(1.04)^x[/tex]
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
$12000 cash
This means that [tex]P = 12000[/tex]
Compounded at 4% interest annually.
This means that [tex]r = 0.04, n = 1[/tex]
What equation will calculate the value in x years?
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(x) = P(1 + \frac{r}{n})^{nx}[/tex]
[tex]A(x) = 12000(1 + 0.04)^x[/tex]
[tex]A(x) = 12000(1.04)^x[/tex]
