Answers
Answer:
17.5 ft
Step-by-step explanation:
Given
[tex]Ladder = 18ft[/tex]
[tex]\theta = 76[/tex]
Required
The height which the ladder reaches on the wall
The question is illustrated with the attached image (solve for x).
Using sine formula, we have:
[tex]\sin(76) = \frac{x}{18}[/tex] --- i.e. sin = opposite/hypotenuse
Make x the subject
[tex]x = 18 * \sin(76)[/tex]
[tex]x = 18 * 0.9703[/tex]
[tex]x = 17.4654[/tex]
Approximate
[tex]x = 17.5[/tex]
Related Questions
Jeremy will roll a number cube, numbered 1–6, twice. What is the probability of rolling an odd number, then a number bigger than 2?
Answers
Answer:
1/12
Step-by-step explanation:
The probability of rolling an odd number = 3/6
The probability of rolling 2 after an odd number =
1/6
3/6 x 1/6 = 3/36
3/36 = 1/12 (after simplified)
A box of cherries weighs 2 1/4 pounds.
If you bought 5 boxes, what is the total
weight of the purchased cherries?
Answers
Answer:
The total weight of the purchased cherries is [tex]11\frac{1}{4}[/tex] pounds.
Step-by-step explanation:
Multiply [tex]2\frac{1}{4}[/tex] by 5.
[tex]2\frac{1}{4} * 5 = 11 \frac{1}{4}[/tex]
Answer:
11.25 or 45/4
Step-by-step explanation:
2 1/4 times 5
Maddy and Jake create a game for the school fair.
Contestants should spin the wheel and if the spinner lands on a red section, the contestant wins a prize. Based on the theoretical probability of winning (12.5%), how many winners should Maddy and Jake expect if they have 200 contestants?
Answers
Answer:
25 winners
Step-by-step explanation:
What is the average rate of change of the function below on the interval [0, 0.5]?
F(x)= x^2+7x+10/ x^2 - 7x+6
A. 8.333
B. 6.333
C. 7.666
D. 6.667
Answers
Answer:
add all the numbers and divide by 4
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
F(0)= 0^2+7(0)+10/ 0^2 - 7(0)+6 = 1.67
F(0.5)= 0.5^2+7(0.5)+10/ 0.5^2 - 7(0.5)+6 = 5
[tex]RateofChange = \frac{F(0.5) - F(0)}{0.5 - 0} = 6.667[/tex]
a theater can hold 120 giants or 144 elves, if 90 giants are already in the theater how much elves can be admitted?
Answers
Answer:
36 more elves
Step-by-step explanation:
90 giants takes up 90/120 = 0.75 of the whole theater, leaving 0.25 empty for the elves.
0.25 * 144 = 36
36 more elves can fit.
Answer:
36 elves
Step-by-step explanation:
Hope this helps
find the missing side of each triangle
Answers
Answer and Step-by-step explanation:
To solve this, we have to find x.
To find x, we have to use the Pythagorean theorem.
The Pythagorean theorem is:
[tex]A^2 + B^2 = C^2[/tex]
Where A is a side, B is a side, and C is the hypotenuse.
Plug in the values accordingly.
[tex]6^2 + 8^2 = x^2\\\\\\\\36 + 64 = x^2\\\\\\\\\\100 = x^2\\\\\\\\10 = x[/tex]
The answer is 10 = x.
#teamtrees #PAW (Plant And Water)
What is the answer to this question
Answers
The best answer from the choices provided is option B) 56.
Step-by-step explanation: Simply subtract 34 from 90.
17% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who
favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight
(a) P(3)=(Round to three decimal places as needed)
(b) P(x24) =(Round to three decimal places as needed.)
(c) P(x<8)=(Round to three decimal places as needed.)
Answers
Answer:
Following are the solution to these question:
Step-by-step explanation:
Following are the binomial distribution with parameters:
[tex]n = 12\\\\p = 0.24[/tex]
For point a:
[tex]\to P(X = 3) = binom.dist(3, 12, 0.24, False) = 0.2573[/tex]
For point b:
[tex]\to P(X > 4) = 1 - P(X < 3) = 1 - binom.dist(3, 12, 0.24, True) = 0.3205[/tex]
For point c:
[tex]\to P(<8) = binom.dist(7, 12, 0.24, True) = 0.9979[/tex]
Alexandra invested $610 in an account paying an interest rate of 7 3/8% compounded
daily. Madeline invested $610 in an account paying an interest rate of 7 7/8%
compounded continuously. After 16 years, how much more money would Madeline
have in her account than Alexandra, to the nearest dollar?
Answers
Exact answer: 165.5754
Rounded to the nearest dollar: 166
You have a poster that is 5 feet by 3 feet. You want to put a
frame, with a uniform width, around the picture. The poster
and the frame must have an area of 24 square feet. Find
the width of the frame.
The frame will be 3
units wide.
Answers
Answer:
x=[tex]\frac{1}{2}[/tex] ft
Step-by-step explanation:
Please see the attached image
(5+2x)(3+2x)=24 - solve for x
15+10x+6x+4x^2=24
4x^2+16x+15=24
4x^2+16x-9=0
Use quadratic formula
[tex]x=\frac{1}{2} , x=-\frac{9}{2}[/tex]
x cannot be negative, so we can rule [tex]-\frac{9}{2}[/tex] out.
x=[tex]\frac{1}{2}[/tex] ft.
The distance between Daytona Beach and Tallahassee is about 143,000 m. How many kilometers is this?
Answers
Answer:
There are 212.89 miles from Tallahassee to Daytona Beach in southeast direction and 251 miles (403.95 kilometers) .
Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....
Answers
Answer:
Tn = 4(-6)^n-1
Step-by-step explanation:
Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....
The sequence is a geometric sequence
Tn = ar^n-1
a is the first term
a = 4
r = -24/4 =144/-24
r = -6
Substitute
Tn = 4(-6)^n-1
Choose the graph of the following function:
f(x) = 2 cos(3x)
Graph A
-4
Graph B
4
3
MAAILMA
Answers
Answer:
Graph B
Step-by-step explanation:
Let take a look of original graph, cos(x)
The amplitude of that graph is 1.
The ampictude of both graphs is 2 so that means the amplitude transformation, 2 has been applied.
We need to find the x intercept.
[tex] \cos(0 ) = 1[/tex]
so
[tex]2 \cos(3(0)) = 2[/tex]
The graph should intersecting at point
0,2 so the answer is
Graph B
Answer:
B on edge
Step-by-step explanation:
17. Which economic instability becomes a problem during a recession?
A. Producer Price Index
B. Inflation
C. Unemployment
Answers
Which lines have a y-intercept at (0,4)?
Choose all answers that apply:
А
y=-3x +4
B
y = 4x + 7
y = 5 + 4x
y = 4-2
KHAN ACADEMY
Answers
Answer:
y=-3x+4
Step-by-step explanation:
Using the formula y=mx+b
mx= slope b= y-intercept
hence,
y=-3x+4 has a y-intercept of (0,4)
Answer:
A y=3x +4
Step-by-step explanation:
since when x=0 then y will be at +4
Y=3(0)+
let us have -2 and 1 what will be the answer ??
Answers
Answer:
[tex] - 2 + 1 \\ = - 1[/tex]
Assuming this is what you asked since your question is not clear.
It is not clear what operation should be performed on -2 and 1. Please provide more information or context so that a specific answer can be provided.
It is unclear what operation you want to perform with -2 and 1. Please specify the operation (addition, subtraction, multiplication, or division) so I can provide the correct answer.
Learn more about addition, subtraction, multiplication, or division here;
https://brainly.com/question/11609653
#SPJ11
Jay bought a guitar on sale at 45% off. The original price was $576.75.
(a)
Find the amount of discount. (Round your answer to the nearest cent.)
$
(b)
Find the sale price. (Round your answer to the nearest cent)
Answers
Answer:
317.21 (sales price)
259.53 (discount amount)
Step-by-step explanation:
First, we need to divide.
576.75/100=5.7675 (note that I will be rounding at the end)
5.7675 x 55 (100-45) = 317.2125
Rounds to: 317.21
Now, we need to find the discount amount.
576.75
-317.21
=259.53
What is the equation of the circle, with center (4, 2) and radius 5 units?
Answers
Answer:
Step-by-step explanation:
Let us begin by just getting the equation of the circle first.
(x - 4)^2 + ( y - 2)^2 = 5^2
(x - 4)^2 + ( y - 2)^2 = 25
Now I'm going to graph that equation and discuss it here.
I have graphed the second equation above.Notice that the center is at (4,2) just as the question requested.A second point was put at (4,7). That was to show you that the radius is 5 units. You can calculate that it is 5 units by noticing that 7 - 2 = 5 So the distance from the center to (4,7) is 5 units which is the amount of the radius.Notice that the numbers representing the center have been reversed in sign. That is always done for a circle. The center's coordinates are always the negative of the coordinates given. You will be told why later.4)
The first play of a football game resulted in a loss of 9 yards. Which absolute value statement describes the loss of yards?
Answers
Answer:
|-9| = 9
That is the absolute value for the loss of yards
whats the answer to this question
Answers
Answer:
a=20
Step-by-step explanation:
7+13=20
20-7=13
Determine the equation of a circle with center at (8, 10) and radius is 6
Answers
Where (h,k) is the center and the r is the radius . So the equation is as follows
( x- 8 ) ^2 + ( y -10 ) ^ 2 = 6^2
Hope this helped
Plz help me!. Well mark brainliest if correct!
Answers
Answer:
Point W
Step-by-step explanation:
18. How many kilograms are in 21,500 grams?
Answers
Answer:
0,0215
Step-by-step explanation:
I really need help please help
Answers
Answer: tan^-1(5/8) = 32 degrees from horizontal line
Step-by-step explanation: tan (Alfa) = 2000 / 3200 because
Angle from horizontal line. 2000/3200 = 20/32 = 5/8
How many miles are in 506,880 inches?
Answers
The sales tax rate is 5%. If Tucker buys a set of golf clubs priced at $245.00, what will be the total cost including tax?
Answers
5% of 245 is 12.25
245+12.25= 257.25
$257.25
S) A $4.00 sales tax is charged for a $50.00 purchase. At this rate, what is the sales tax for a $1200.00
purchase?
Please help me :) I’m down bad
Answers
Answer:
$96
Step-by-step explanation:
4/50=.08 which is sales tax rate
1200X.08=$96 sales tax
OMG PLS HELP!!!!!!!!!!!!!! A rectangular prism has a height of 20 cm, length of 7 cm and width of 5 cm. Use the volume formula to find the volume of this prism. A. 140 cm3 B. 500 cm3 C. 700 cm3 D. 900 cm3
Answers
Answer:
The correct answer is C: 700 cm³
Step-by-step explanation:
V = l × w × h
V = 7 × 5 × 20
V = 7 × 100
V = 700
which system of equations has no solution?
Answers
g(x)=2x-x when x=-5
What is the answer to this please solve
Answers
9514 1404 393
Answer:
-5
Step-by-step explanation:
The given linear equation simplifies to ...
g(x) = 2x -x
g(x) = x
For x = -5, this is ...
g(-5) = -5