Answer:
distance from P to the plane = 8957.6 m
Step-by-step explanation:
sin23 = 3500 / distance from P to the plane
distance from P to the plane = 8957.6 m
Ann and Betty shared a sum of money in the ratio 2:3. If Ann received $120,what was the amount of money shared?
Answer:
$420
Step-by-step explanation:
Given data
GIven ratio= 2:3
The total ratio= 2+5= 7
Ann's share= $120
Let us apply the part to all approach
let the total amount be x
so for Ann
2/7= 120/x
cross multiply
2x= 120*7
2x= 840
divide both sides by 2
x= 840/2
x= 420
Hence the amount shared is $420
The area of a rectangular parking lot is 5460²m.. If the length of the parking lot is 84, what is its width?
Answer: The width is 65.
Step-by-step explanation:
84 x 65 = 5460. I got 65 by spamming random numbers in the calculator until I got my answer.
what is the cosine of 210 degrees
Answer:
-0.86602540378 is the decimal form
and the exact form is − √ 3/2
The expressions p(200-5p)and 200p-5p2define the same function. The function models the revenue a school would earn from selling raffle tickets at p dollars each.
At what price or prices would the school collect $0 revenue from raffle sales? Explain or show your reasoning.
The school staff noticed that there are two ticket prices that would both result in a revenue of $500. How would you find out what those two prices are?
I really have no idea. If anyone could help that would be great!
The prices which the school would collect $0 revenue are $0 and $ 40 respectively.
Since the revenue R(p) = p(200 - 5p).
The price at which the school earn s $0 revenue from the raffle sales is when R(p) = 0.
So, p(200 - 5p) = 0
p = 0 or 200 - 5p = 0
p = 0 or 200 = 5p
p = 0 or p = 200/5 = 4
So, the prices which the school would collect $0 revenue are $0 and $ 40 respectively.
b. Prices at $500 revenueThe two ticket prices that would produce a revenue of $500 are $2.68 and $ 37.32
We need to find the two ticket prices that would result in a revenue of $500. So, R(p) = 500.
So, p(200 - 5p) = 500
200p - 5p² = 500
Re-arranging, we have
5p² - 200p + 500 = 0
Dividing through by 5, we have
p² - 40p + 100 = 0
Using the quadratic formula, we find the value of p.
So,
[tex]p = \frac{-(-40) +/- \sqrt{(-40)^{2} - 4 X 1 X 100} }{2 X 1} \\p = \frac{40 +/- \sqrt{1600 - 400} }{2} \\p = \frac{40)+/- \sqrt{1200} }{2} \\p = \frac{40 +/- 34.64 }{2} \\p = \frac{40 - 34.64 }{2} or p = \frac{40 + 34.64 }{2} \\p = \frac{5.36}{2} or p = \frac{74.64 }{2} \\p = 2.68 or 37.32[/tex]
So, the two ticket prices that would produce a revenue of $500 are $2.68 and $ 37.32
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h−6 ≤−8.4
hope you have a good day stay safe
Answer:
h ≤ -12/5
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "8.4" was replaced by "(84/10)".
Rearrange:
Rearrange the equation by subtracting what is to the right of the less equal sign from both sides of the inequality :
h-6-(-(84/10))≤0
Step by step solution :
STEP
1
:
42
Simplify ——
5
Equation at the end of step
1
:
42
(h - 6) - (0 - ——) ≤ 0
5
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 5 as the denominator :
h - 6 (h - 6) • 5
h - 6 = ————— = ———————————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(h-6) • 5 - (-42) 5h + 12
————————————————— = ———————
5 5
Equation at the end of step
2
:
5h + 12
——————— ≤ 0
5
STEP
3
:
3.1 Multiply both sides by 5
3.2 Divide both sides by 5
h+(12/5) ≤ 0
Solve Basic Inequality :
3.3 Subtract 12/5 from both sides
h ≤ -12/5
Inequality Plot :
3.4 Inequality plot for
h + 2.400 ≤ 0
The value of h is less than or equal to -2.4.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
h−6 ≤−8.4
Now, add both side 6
h−6 + 6 ≤−8.4 + 6
h ≤−2.4
Hence, the value of h is less than or equal to -2.4
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Work out the size of angle x.
38°
х
101
Answer:
41°
Step-by-step explanation:
the sum of the interior angles is 180 degree
so,
38 + x + 101 = 180
139 +x = 180
x = 180 - 139
x= 41°
Can u help me with my work pls
Answer:
The mountain is 8.
The map is 96.
The compass is 6.
The hiker is 54.
The train is 14.
The a corn is 26
Hope this helps.
Lella is fertilizing her garden. The garden is in the shape of a rectangle. Its length is 14 feet and its width is 11 feet. Suppose each bag of fertilizer covers 22
square feet. How many bags will she need to cover the garden?
Answer:
Step-by-step explanation:
14ft(11ft)(b/22ft^2)=7b
She will need 7 bags of fertilizer.
(25 points!) Caleb bought a $795 necklace for his wife's birthday. If he bought it on credit with an interest rate of 16.25% how much total will he have paid after three years?
Answer:
The total amount that he would have paid after 3 years is $1183.
Step-by-step explanation:
We would apply the formula for determining simple interest which is expressed as
I = PRT/100
I represents interest paid on the amount owed.
P represents the principal or initial amount owed.
R represents interest rate
T represents the duration for which the amount was owed in years.
P = $795
R = 16.25
T = 3 years
I = (795 × 16.25 × 3) ÷ 100
I = $388
Total amount that he would have paid after 3 years is $795 + $388 = $1183
The total amount that he would have paid after three years would be $1183.
What is the simple interest?Simple interest is defined as interest paid on the original principal and calculated with the following formula:
S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100
The given data as per the question
P = $795
R = 16.25
T = 3 years
Simple interest = P × R × T
Substitute the values,
Simple interest = (795 × 16.25 / 100 × 3)
Simple interest = (795 × 0.1625 × 3)
Simple interest = $388
The total payback amount : $795 + $388 = $1183
Therefore, the total amount that he would have paid after three years is $1183.
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Hey !! Can someone please help me with this??
Answer:
[tex]8^2[/tex] and 4 x 4 x 4
Step-by-step explanation:
4 to the third power, is the same as 4 x 4 x 4.
This is then equal to 64.
8 squared is also equal to 64, making it also an answer.
None of the other ones work.
Hope this helps and have a nice day!! :) :] :D
Amy works at an orange juice stand on Monday she used 1 2/5 bags of oranges on Tuesday she used 1 1/4 times as many oranges as on Monday how many bags did she use on tuesday do you know???
Somebody help me plzz
Answer:
60
Step-by-step explanation:
straight line =180
180-120=60
need answers asap please besties<3
Answer:
The answer would be -19.8
Step-by-step explanation:
Hope this helps
Write an equation in point-slope form that describes the line with a slope of -3 that contains the point (1,2)
Answer:
y - 2 = -3(x - 1)Step-by-step explanation:
The point-slope form of the equation that describes the line with a slope of m that contains the point (x₀, y₀) is: y - y₀ = m(x - x₀)
m = - 3
(1, 2) ⇒ x₀ = 1, y₀ = 2
Therefore:
y - 2 = -3(x - 1)
- 6
x= -18
3
360
f(x) =
I= 36
C
4x + 73
X = -18,36
f(-18) =
Answer:
f(−18)=−8
khan academy
78 is 65% of what number (can someone explain how to solve this?)
Answer:
120
Step-by-step explanation:
78 is 65% of what number.
Let's break down this expression.
In this case "is" means "equals" so we will use the equal sign (=)
65% can be written as 0.65 or 65/100
"of" indicates multiplication
"what number" will be represented by x.
Now, put this all together.
78 = 0.65 • x
To solve for x, divide both sides by 0.65
120 = x
This is your answer.
Check this by finding 65% of 120.
0.65 • 120 = 78
Your answer is correct.
Hope this helps!
is this the area of a this
pls help and explain
Answer:
Step-by-step explanation:
so first what you want to do is split the shape in to
Draw a line down where the 2 is.
you should have a rectangle and a triangle
then you find the area of the rectangle
Rectangle:
5 x 2 = 10m^2
After than you try to find the triangles area
the bottom of the triangle is 9m but since to split it in 2 you will now have 7m
multiple 5 times 7 and you will receive 35 then you divide that by 2 and you will have 17.5m^2
Add your two areas together and you will get 27.5m^2
If x=2,find the value of x²+1/x²
Answer:
17/4 or 4 1/4
Step-by-step explanation:
Substitute x = 2 into the expression x² + 1/x².
(2)² + 1/(2)²Evaluate the exponents in the expression.
(4) + 1/(4) 4 + 1/4Multiply 4 by 4/4 to get a common denominator of 4.
16/4 + 1/4Add the numerators together.
17/4The value of x² + 1/x² if x = 2 is 17/4, or 4 1/4.
A florist used 18 flowers to make a bouquet, including 8 lilies.
What is the probability that a randomly selected flower will be a lily?
Write your answer as a fraction or whole number.
Answer:
4/9 will be the probability.
Hope it helps you!!
HELP ASAP!!!!!!! PLEASEEEEE
Answer:
B
Step-by-step explanation:
This asks for data from multiple people, and it not just a yes or no question
-3(d + -2) + -4 = 5
solve for d
Answer:
d=−1
Step-by-step explanation:
−3(d−2)−4=5
Step 1: Simplify both sides of the equation.
−3(d−2)−4=5
(−3)(d)+(−3)(−2)+−4=5(Distribute)
−3d+6+−4=5
(−3d)+(6+−4)=5(Combine Like Terms)
−3d+2=5
−3d+2=5
Step 2: Subtract 2 from both sides.
−3d+2−2=5−2
−3d=3
Step 3: Divide both sides by -3.
−3d
−3
=
3
−3
d=−1
[tex]-3(d+(-2))+(-4)=5[/tex]
[tex]-3d-6+(-4)=5\\-3d-10=-5\\-3d=5\\3d=-5\\d=-\frac{5}{3}[/tex]
I NEED HELP ASAP
8-4: MathXL for School: Practice & Problem Solving
O Assignment is past due (03/12/
8.4.PS-11
Question Help
Z1 and 22 are complementary angles. The measure of Z1 is 38°
The measure of Z2 is 4x. Find the value of x. The figure is not drawn
to scale.
1
The value of x is
va
VI
(1,1)
More
Enter your answer in the answer box and then click Check Answer
All parts showing
Clear All
Check
Answer:
your answer will be x=13
Step-by-step explanation:
hope it helps.
what polygon is formed?
Answer:
Polygons are figures that are formed by three or more line segments. These line segments, even called sides, meet at their endpoints to form vertices. If we compare the number of sides, diagonals and triangles of a quadrilateral a pentagon and a hexagon we can find a system between the different polygons.
Step-by-step explanation:
Find the area of the composite figure below.
Answer:
96m
Step-by-step explanation:
James studied for his test. He started studying at 3:20 p.m. and studied for 2 hours
and 15 minutes. What time did he finish studying? (SHOW WORK PLS BEST ANSWER WITH BEST EXPLANATION GETS THANKS AND BRAINLIEST!!)
Answer:
James finished studying at 5:35pm
Step-by-step explanation:
3:20+2:15=3:35
20+15=35
3+2=5
A chess club has 24 members, of which 1 is a male and the rest are females.
What is the ratio of males to all club members?
Answer:
1:24
Step-by-step explanation:
hope this helped
Find the percentage change from
40 to 60.
Answer:
50%
thats the answer
Neil got a hit 9 of the 11 times he batted in the softball tournament. Maggie got a hit 18 of the 22 times she batted in the tournament. Did they have the same batting records?
Answer:
they have the same batting record
Step-by-step explanation:
Batting record for each :
Neil :
9 /11 = 0.8181
Maggie :
18 /22 = 0.8181
From here we see that they both have the same proportion of hits :
Hence they have the same batting record
Josh is going to choose a 2-digit number. What is the probability that the sum of the digits in his number will be 9? (there are 90 two digit numbers in total)
answer,,
18
27
36
45
54
63
72
81
hope my ans helps
please give brainliest to my answer
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How can I tell if a system of equations has one, no, or infinitely many solutions?
Answer:
There are many ways to interpret if whether or not a system of equations has solutions or not. Here is one way that is most ideal for most, if not, all equations: using graphs.
If the graphs of the set of equations do NOT intersect, then there are no solutions (because no x or y value will ever make both equations true)If the graphs of the set of equations DO intersect at one point, then ONLY that one point will make both equations true. (One solution)If the graphs of the set of equations are identical on the graph, then there are infinite solutions that make both equations true.