An 18-foot ladder leaning against a wall makes an angle of elevation of 70° with the ground. How far up the wall is the ladder, to the nearest foot?
Answer:
17 ft
Step-by-step explanation:
An 18-foot ladder leaning against a wall makes an angle of elevation of 70° with the ground. How far up the wall is the ladder, to the nearest foot?
We solve the above question using the Trigonometric function of Sine
sine theta = Opposite/Hypotenuse
theta = Angle of elevation = 70°
Hypotenuse =Length of the ladder = 18ft
Opposite = Height of the wall = x
Therefore
sin 70 = x/ 18 ft
Cross Multiply
x = sin 70 × 18 ft
x = 16.914467174 ft
Approximately = 17 ft
The Arnold's took out a loan for $195,000 to purchase a home. At a 4.3% interest rate compounded annually, how much total will they have paid after 30 years?
Answer:
just interest = 251,550. Plus loan = 446,550
Step-by-step explanation:
195,000 x 0.043(interest as a decimal) = 8385 per year.
8385 x 30(years) = 251,550
The total of $446550 amount of money have to pay after 30 years at the rate of 4.3% of the principal amount of $195000.
What is compound interest?Compound interest is applicable when there will be a change in principle amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.
Given that
the principle amount of $195000
The rate of interest is 4.3%
Time period 30 years.
By compound interest formula
A = P × [tex](1 + 0.00r)^{n}[/tex]
where A is the total amount, P is the principal amount,r is the rate of interest and n is the total time period.
A = $195000[tex](1 + 0.043)^{30}[/tex]
A = $689546.985
For more information about compound interest
https://brainly.com/question/26457073
#SPJ2
A construction company produces two products (doors and windows) that require two plants (A and B). Management wants to determine how many units of each product should be produced to maximize profit. For each unit of Product 1 (i.E. Door), 2 workers are required in Plant A and 4 workers are required in Plant B. For each unit of Product 2 (i.E. Window), 3 workers are required in Plant A and 4 workers are required in plant B. The company has 40 workers in Plant A and 60 workers in Plant B. Each unit of Product 1 gives a profit of $100. Each unit of Product 2, up to 10 units, gives a profit of $80. Any excess over 10 units of Product 2 brings no profit; so, such excess has to be ruled out.
Answer:
Z max = 1500
x₁ = 15
x₂ = 0
Step-by-step explanation:
From problem statement:
Plant A Plant B Profit $/each
Product 1 (Doors ) x₁ 2 4 100
Product 2 (windows ) x₂ 3 4 80
Product 2 (windows ) x₂ above 10 is scrap
Objective function to maximize
z = 100*x₁ + 80*x₂
Subject to:
Plant A capacity
2*x₁ + 3*x₂ ≤ 40
Plant B capacity
4*x₁ + 4*x₂ ≤ 60
Windows condition:
0*x₁ + x₂ ≤ 10
Model:
Max z = 100*x₁ + 80*x₂
Subject to:
2*x₁ + 3*x₂ ≤ 40
4*x₁ + 4*x₂ ≤ 60
x₂ ≤ 10
x₁ , x₂ ≥ 0 and integers
Afther 6 iterations using Simplex Solver AtomZmath
Z max = 1500
x₁ = 15
x₂ = 0
Aliyah spent half of her weekly allowance playing arcade games. To earn more money her parents let her mow the lawn for $7. What is her weekly allowance (W) if she ended up with $16? The variable should always go in the first term
Answer:
who mows the lawn for 7 dollars :/
Step-by-step explanation:
The lengths of three line segments are shown above. Which of the following statements is true?
19.
20
Z
45°
y у
60°
63
2 =
I NEED HELP WITH NUMBER 19 PLEASE HELP!
z=90degrees
Y=135degrees
An FBI agent orders a block of ballistics gel. The gel weighs 54 pounds per cubic foot. What is the weight of the block of gel?
Answer:
22.5 pounds
Step-by-step explanation:
The computation of the weight of the block of gel is shown below:
As we know that
Volume = (length) (width) (height)
= (20) (6 ) (6)
= 720 cubic inches
Now we have to convert into cubic foot
As we know that
1 ft = 12 inches
So 1ft^3 = 12 inches^3
= 1728 inches ^3
Now
= 720 × 1 cubic foot ÷ 1728 cubic inches
= 5 ÷ 12
Now the weight is
= 54 × 5 ÷ 12
= 22.5 pounds
2. You were 22 inches tall at birth, and 48 inches tall on your 8th birthday.
2a) On average, how many inches did you grow per year? (Hint: in 8 years 2 points
you grow a total of 26 inches) include units!!
Answer:
3.25
Step-by-step explanation:because you have to divide the years with the inches so in each year i would grow about 3.25 inches
$12.60 for 3 boxes. Find the unit rate
Answer:
$4.20 / box
Step-by-step explanation:
12.60 / 3 = 4.20
Find the distance between the two points (-4,1) (4,5)
These box plots show daily low temperatures for a sample of days in two different towns
Answer:
A. The median for town A, 30 degrees, is less than the median for town B, 40 degrees.
Step-by-step explanation:
Simplify the expression: 5(x + 2) > 50
Answer:
x >8
Step-by-step explanation:
Answer:
x > 8
Step-by-step explanation:
Solving an algebraic inequality is the same as solving an algebraic equation. One uses the technnique of inverse operations to undo every step in the expression to get the answer. The only difference is that with an inequality, one must remember to flip the inequality sign when dividing or multiplying by a negative. This rule does not apply to the given inequality.
5(x + 2) > 50
/5 /5
x + 2 > 10
-2 -2
x > 8
Find –(–14).
–14
–4
4
14
Answer:
bhjtijo3
Step-by-step explanation:
Answer:
Step-by-step explanation:
D. 14
Help me with the please
Answer:
32 degrees.
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
26 degrees
Step-by-step explanation:
180 - 48 = 132 - 106 = 26
this one should work
Answer: x = 106°
Step-by-step explanation:
106° + 48° + x° = 180°
154 + x = 180
x = 106°
find x:x+x=20
please find x for me
Answer:
x = 10
Step-by-step explanation:
10 + 10 = 20
Good luck with your work!
Answer:
x = 10
Step-by-step explanation:
x + x = 20 can also be interpreted as 2x = 20. This makes it easier to solve for the variable.
To isolate x, do the inverse operation of multiplication. So, we have to divide both sides of the equation by 2.
[tex]\frac{2x}{2}[/tex] = [tex]\frac{20}{2}[/tex]
Simplify this equation for x = 10.
I hope this is helpful. Good luck ^^
AHHHHH HELPPPPPPPPPPPPPPPPP
[tex]3^{2}+2^{2}=d^{2}[/tex]
Answer:
I cant see the photo sorry
Step-by-step explanation:
Select all the properties of a right triangle.
A. Has a Right Angle
B. Has 1 Obtuse Angle
C. Has Parallel Lines
D. Has Perpendicular Lines
E. Has 3 Acute Angles
If u are an Expert PLzzz Answer Thisss!
Answer:
Sorry sis don't know the meaning
The fourth-grade students are taking a field trip and need to rent minivans. Each minivan will hold 8 people. There are 135 people
going on the trip. How many people will not be able to go if they only rent 16 minivans?
A)6 people
B)7 people
C)8 people
D)9 people
HELP ASAP ILL GIVE BRAINLIEST
Answer:
B. 7 people
Step-by-step explanation:
If you multiply 8x16 you get: 128. Then you subtract 135 from 128 and get: 7. Therefore, 7 people will not be able to go if they only rent 16 minivans.
The height of a cylindrical vase is 11 inches as shown below. The base of the cylinder has a diameter of 4½ inches. Which measurement is closest to the volume of the cylinder in cubic inches? * 34 points 1,710.6 cubic inches 155.51 cubic inches 699.79 cubic inches 174.95 cubic inches
Answer:
174.95
Step-by-step explanation:
Volume=πr^2h
3.142 * (4.5÷2)^2 *11
=174.95
help ASAP Ill mark u brainliest
Answer:
30% or none of these
Step-by-step explanation:
since least of the girls voted for biking it would be the least percent amount.
Hope this helped and have a wonderful day! <3 :))
PLEASEEEE SOMEONE HELPP WIRH THIS ANSWERER
Answer:
y = -5x + 1
Slope:
(-9 - -4)/(2 - 1) = -5 = m
A: y=5x+7 b:y= 3x+5 c: y=2x+5
Answer: A: y=5x+7
Step-by-step explanation: Hope this help :D
Which point on the graph represents the y-intercept?
Bob had 42 fair tickets to sell. He sold 5/6 of the tickets. How many tickets did Bob sell
Answer:
35
Step-by-step explanation:
5/6 of 42 is 35
check to be sure
Answer:
35 tickets
Step-by-step explanation:
Very simple mental division & multiplication.
Divide the total (42) by the denominator (6)
42 ÷ 6 = 7
Then multiply the quotient (7) by the numerator (5)
7 × 5 = 35 tickets
Element X is a radioactive isotope such that every 28 years, its mass decreases by
half. Given that the initial mass of a sample of Element X is 70 grams, how long
would it be until the mass of the sample reached 38 grams, to the nearest tenth of a
year?
Answer:
21
Step-by-step explanation:
In a normal distribution, 95% of the data falls within 1 standard deviation of
the mean.
True or False?
Answer:
False
Step-by-step explanation:
A P E X
What is A= bh in math?
Step-by-step explanation:
In math the area of the parallelogram equal the base times the high
A= bhWhere.....
A stand for (Area)
b stand for (Base)
h stand for (High)
Like shown in the photo above
I hope that is useful for you :)
$17.99 with an 11.25% tax
Answer:
it's 2.0
hope that helps
.2 How many millilitres of chutney are needed?
Answer:
Step-by-step explanation:
In this scenario, You've asked about the Chutney (Sauce/Raita).
Ok, So let's suppose you are making a "Chutney"
The first you need is the right amount of ingredients.Their quantity and they must be fresh "To make every effort of yours worth it!"Add it into a bowl or a dish that you have at the time (Or a big one to be on the safe side)At the end mix the ingredients well, So that they don't spoil taste of the one who is taking it.The amount of milliliters (Weight measurement) depends upon the amount of usage/intake that one is taking.
It could be a few hundred (gms. or some Kg's).
That totally depends up on your choice