In Sichuan, China, Bernards stands at the top of the Jinping-1 dam and measures the angle of depression down to where Benjamin is standing at 1999 feet from the base of the dam. If the angle of depression is 26.6 degrees, how tall is the dam? Round to the nearest foot.
Answer:
This illustrates a right triangle.
Given:
a(height) = 2457 ft.
∠A = 22°23' ; which is the elevation and reflects the a(height)
Find:
b(base)
Solution:
Using the law of cosine, specifically tan∠ = opposite side÷adjacent side
By analysis, tan∠A = a÷b
Since we are finding b, the formula will be derived into:
b = a÷tan∠A
Find b(base):
b = 2457 ft. ÷ tan22°23' ; substituting the numbers
b ≈ 5,966.05 ft. ; Final Answer
Step-by-step explanation:
I need help please and thank you
Answer:
4
Step-by-step explanation:
The slope of the line is given. It is 4. Use the equation y=mx+b to answer the other questions.
Substitute 1 in for y, 4 in for m, and 2 in for x and solve for b. The equation would look like 1=4(2)+b.
Solving that equation will give you b=-7
That means the y-intercept is -7.
The equation would then be y=4x-7
Which binomial is a factor of 12x^2 - x - 20
Answer:
12x² - x - 20 = (4x+5)(3x−4)
plz help
this is also timed and sorry that the screen looks like this:(
Answer:
2 hours, 15 minutes
B.
Step-by-step explanation:
3:30 to 5:30 is 2 hours elapsed time.
5:30 to 5:45 is 15 minutes elapsed time.
2 hrs + 15 mins =2 hrs 15 mins.
Answer:
2 hours and 15 minutes
Step-by-step explanation:
You subtract 5:45 - 3:30 = 2:15
Hope I helped
The fishbowl is shaped like a sphere the fishbowl has a diameter of 16 what is the closest value of water in the Fishbowl and cubic inches
Answer:
2144.66 cubic inches
Step-by-step explanation:
The fishbowl is shaped like a sphere the fishbowl has a diameter of 16.
What is the closest value of water in the Fishbowl in cubic inches?
From the any question, we were told to find the closest value of the water in the fishbowl in cubic inches.
This means we are to find the volume.
The volume of a sphere is given as:
4/3πr³
We are given Diameter of the fish bowl = 16 inches
Radius = Diameter/2 = 16 inches/2
= 8 inches
Hence,
Volume of the sphere (Volume of water) = 4/3 × π × 8³
= 2144.66 cubic inches
PLS HELP!! WILL AWARD BRAINLIEST
On Sunday John spent 20% more time playing his favorite game than he spent
watching a movie, and he spent 28% less time reading a book than he spent
watching the movie. the time he spent reading the book is what percent of the
time he spent playing his favorite game?
Answer:
I think its 5.6%
Step-by-step explanation:
20% of 28% is 5.6%
if its multiple choice that would help but that's my best guess
The grades on a math midterm at Springer are roughly symmetric with \mu = 78μ=78mu, equals, 78 and \sigma = 5.0σ=5.0sigma, equals, 5, point, 0. Omar scored 646464 on the exam. Find the z-score for Omar's exam grade. Round to two decimal places.
Answer:
-2.8
Step-by-step explanation:
Given that:
Mean, μ = 78
Standard deviation, σ = 5
Omar's score, x = 64
The Zscore of Omar's score :
Zscore = (x - μ) ÷ σ
Zscore = (64 - 78) / 5
Zscore = - 14 / 5
Zscore = - 2.8
Hence, Omar's exam score is - 2.8
Answer:
-2.8 is correct
Step-by-step explanation:
Look the the question below
Answer:
-40°
Step-by-step explanation:
-13° + -7° = -20°
-20° + -3° = -23°
-23° + 5° = -28°
-28° + -12° = -40°
Answer:
- 13 - 7 + 5 -12
-30/5= -6
Step-by-step explanation:
sum of all observation/total observation
(-13-7+5-12)/5
-30/5
-6
(a+b)²= ?
please tell the correct answer
Step-by-step explanation:
[tex](a + {b)}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]
CAN SOMEONE PLEASE HELP ME
You and a friend go to surf taco for lunch. you order 3 soft tacos and 2 burritos and your total bill is 25. Your friend bill is 30 for 5 soft tacos and 2 burritos. How much do soft tacos cost? 3x+2y=25 4x+2y=30 X-soft tacos y-burritos
Answer:
Step-by-step explanation:
Let the cost of one soft taco = s
Let the cost of one burrito = b
So we have this system
3s + 3b = 11.25
4s + 2b = 10.00 (1)
Divide the first equation through by 3 and we have that
s + b = 3.75 subtract b from both sides
s = 3.75 - b (2)
Sub (2) into (1) and we have
4 (3.75 - b) + 2b = 10.00 simplify
15 - 4b + 2b = 10.00
-2b + 15 =10.00 subtract 15 from both sides
-2b = - 5.00 divide both sides by -2
b = 2.50
And using (2)
s = 3.75 - 2.50 = 1.50
So... a soft taco 1.50 and a burrito is 2.50
What happens when the y-intercept is greater than 1?
What happens when the y-intercept is less than 1?
Answer:What happens when the y-intercept is greater than 1?: more than one y-intercept would violate this, since it would mean that there are two outputs for x=0. Therefore, it is not possible for a function to have more than one y-intercept. This function never crosses the y-axis because, since you can't divide by zero, it is undefined at x=0.
Step-by-step explanation:
9514 1404 393
Answer:
The graph intersects the y-axis above the point (0, 1)The graph intersects the y-axis below the point (0, 1)Step-by-step explanation:
Nothing special happens when the y-intercept is above or below the value of 1. The y-intercept is where the function's graph intersects the y-axis.
When the y-intercept is greater than 1, the graph intersects the y-axis above the point (0, 1).
When the y-intercept is less than 1, the graph intersects the y-axis below the point (0, 1).
__
The meaning of the y-intercept will depend on what the graph is modeling. No information about that is provided here.
what is the value of a? what is the value of b?
Answer:
b=18, a=9√3
Step-by-step explanation:
30-60-90 rule
12. Solomon scored 88% on his math test. If the test had 25 questions total, how many
questions did Solomon miss?
Answer:
He missed 3 questions (which is a score of 22/25 that equals 88%)
Step-by-step explanation:
This is just what I've taught to judge this by "eye level" how to solve questions like these. In this case, since it's a 25 question test, if you divide 25/100 that means each question was 4 points.
So if 20/25 is 80% and 25/25 is 100%, so the answer is between that range.
Hope it helps.
On a hot summer day, Nora and her friends decided to have a water fight. They threw water balloons for 1 hour. When all the water balloons were gone, they sprayed water with hoses for 30 minutes. The water fight ended at 1:45 P.M. when Nora's dad showed up with ice cream. What time did the water fight start?
Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
will give brainilest
Answer: 12:15 pm
Step-by-step explanation:
They had a balloon fight for 1 hour
They played in the hose for 30 minutes
The water fight ended at 1:45 pm minus 1 hour 30 minutes if play = 12:15 pm start time
Identify the domain of the graph of y = -x2 - 6x – 13.
O All real numbers
O x _< -4
O X >_ -6
O x >_ -2
Answer:
I dont know
Step-by-step explanation:
Answer:
All real numbers
Step-by-step explanation:
Match the correct volume equation to each 3-D figure.
Answer:
no image sry cant haelp
Step-by-step explanation:
Help me with this please!!!!
Answer:
option c is the correct answer
What is the value of x?
Answer:
i think it might be C
Step-by-step explanation:
very sorry if it's wrong
The combined area of a square and a rectangle is 33 square meters. The width of the rectangle is 1 meter more than the length of one side of the square and the length of the rectangle is 3 meters more
than its width.
a) Calculate the dimensions of the rectangle and its perimeter
b) Calculate the dimensions of the square.
Answer:
4 m = width of the rectangle.
6 m = length of the rectangle
20 m = perimeter of rectangle
3 m = side of the square
Step-by-step explanation:
Let s = length of side of square
s + 1 = width of rectangle
s + 3 = length of rectangle
Area of rectangle = (s + 1)(s + 3)
Area of square = [tex]s^{2}[/tex]
So, (s + 1)(s + 3) + [tex]s^{2}[/tex] = 33
[tex]s^{2}[/tex] + 4s + 3 + [tex]s^{2}[/tex] = 33
2[tex]s^{2}[/tex] + 4s - 30 = 0
2([tex]s^{2}[/tex] + 2s - 15) = 0
2(s + 5)(s - 3) = 0
s = -5 or s = 3
Length of a side cannot be negative, so -5 is ignored
3 m = side of the square
4 m = width of the rectangle
6 m = length of the rectangle
2(4) + 2(6) = 8 + 12 = 20 m = perimeter of rectangle
Consider the polynomial function h(x) = -2x^5+ 8x^4
2x^2+15.
What is the end behavior of the graph of h ?
Answer: B
Step-by-step explanation:
Applying limits, it is found that the end behavior of the graph is:
B. As [tex]x \rightarrow \infty, h(x) \rightarrow -\infty[/tex], and as [tex]x \rightarrow -\infty, h(x) \rightarrow \infty[/tex].
The function is:
[tex]h(x) = -2x^5 + 8x^4 - 2x^2 + 15[/tex]
To find the end behavior, we apply the limits as x goes to infinity, in which just the term with the highest exponent is considered, hence:
[tex]\lim_{x \rightarrow -\infty} h(x) = \lim_{x \rightarrow -\infty} -2x^{5} = -2(-\infty)^5 = -2(-\infty) = \infty[/tex]
Then, as [tex]x \rightarrow -\infty, h(x) \rightarrow \infty[/tex]
[tex]\lim_{x \rightarrow \infty} h(x) = \lim_{x \rightarrow \infty} -2x^{5} = -2(\infty)^5 = -2(\infty) = -\infty[/tex]
Then, as [tex]x \rightarrow \infty, h(x) \rightarrow -\infty[/tex]
Hence, option B is correct.
A similar problem is given at https://brainly.com/question/24248193
An angle measures 32 degrees. Through what fraction of a circle does the angle turn? I need help !!!!!!!!
Answer:
4/45
Step-by-step explanation:
The sum of angles in a triangle is 360 degrees
If the angle measures 32 degrees, the fraction can be represent as 32/360
32/360 has to be converted to its simplest form. To this divide both the numerator and the denominator by 8. This gives 4/45
Shade 1/4 of this figure
Answer:
shade 2 triangles
Step-by-step explanation:
2/8 is the same as 1/4.
Answer:
Shade any two pieces
Step-by-step explanation:
2/8 simplified (by cancelling out) is equal to 1/4.
What is the domain of the function
Answer:
[tex]x\geq -6[/tex]
Step-by-step explanation:
The domain of a function is all of the values that [tex]x[/tex] can be under that specific function. In this case, we're asking what values of [tex]x[/tex] allow [tex]\sqrt{\frac{1}{3} x+2}[/tex] to exist.
In order for square roots to exist, the quantity under the square root must be greater than or equal to [tex]0[/tex], because you can't take the square root of a negative number. Therefore, we can write the following inequality to solve for [tex]x[/tex]:
[tex]\frac{1}{3}x+2\geq 0[/tex]
Solving this inequality, we get:
[tex]\frac{1}{3}x+2\geq 0[/tex]
[tex]\frac{1}{3}x\geq -2[/tex] (Subtract [tex]2[/tex] from both sides of the inequality to isolate [tex]x[/tex])
[tex]x\geq -6[/tex] (Multiply both sides of the inequality by [tex]3[/tex] to get rid of [tex]x[/tex]'s coefficient)
Hope this helps!
7.
A comet passes Earth every 70 years. Another comet passes Earth
every 75 years. If both comets pass Earth this year, how many years
will it be before they both pass Earth on the same year again?
Answer:
1,050 years
Step-by-step explanation:
A comet passes Earth every 70 years.
Another comet passes Earth
every 75 years
If both comets pass Earth this year, how many years
will it be before they both pass Earth on the same year again?
Find the lowest common multiple of 70 years and 75 years
70 years = 70, 140, 210 , 280, 350, 420, 490, 560, 630, 700, 770, 840, 910, 980, 1050, 1120, 1190, 1260,
75 years = 75, 150, 225 , 300, 375, 450, 525, 600, 675, 750, 825, 900, 975, 1050, 1125, 1200, 1275, 1350
Lowest common multiple of 70 years and 75 years is 1,050 years
Therefore,
If both comets pass Earth this year, they both pass Earth the same year again in the next 1,050 years
Brian gets pic 'n mix when at the cinema and makes his bag up with 3 types of sweet. He picks 3 times as many smarties as cola bottles. He also picks twice as many marshmallows as smarties. What proportion of the bag of sweets are cola bottles?
Answer:ummmmm
Step-by-step explanation:
t
Find The Value Of The Variable y
Answer:
25.6
Step-by-step explanation:
25.6 / 2 es igual a 12.8
Find the surface area of the rectangular prism below.
Answer:
590 ft²
Step-by-step explanation:
11+5+11+5=32
32x15=480
5x11x2=110
480+110=590
There’s 18 boys and 11 girls in a class, they make a team with 7 students
a) in how many ways can they pick a team
b) how many teams can they get knowing there is 4 boys in each one?
"The number of boys is 45 the number of girls,"
or to say,
"The ratio of the number of boys to the number of girls is 45:1."
This second interpretation reflects the fact that 45 is the unit rate (which is a number) for the ratio 4:5.
It cost $2 plus $1.12 per mile to take a taxi. If you have
$10, what is the maximum distance you can travel? (please
round to the tenth place)
Answer:
2+1.12x=10 minus 2 on each side 1.12x = 8 divide 1.12 to each side is 7.14 miles rounded up on the tenth place