Answer:
Step-by-step explanation:
The height of the ladder using trigonometric ratio is 9.8 feet.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
The slanting height of the ladder = 10 foot
The ladder makes an angle = 78°
Let height of the ladder be 'h'.
The below diagram shows the ladder position.
The height of the ladder can be found by using trigonometric ratio,
[tex]sin \theta=\frac{perpendicular}{hypotenuse}[/tex]
⇒ [tex]sin78=\frac{h}{10}[/tex]
⇒ [tex]0.9781=\frac{h}{10}[/tex]
⇒ [tex]h=9.781[/tex] ≈ [tex]9.8[/tex]
Hence we can conclude that the height of the ladder using trigonometric ratio is 9.8 feet.
Learn more about trigonometry here
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can someone explain or solve these || scale drawings
a) The distance between 2 cities on a map is 8.5 cm. The map uses a scale of 1 cm is equivalent to 50 kilometers. What is the actual distance between the 2 cities?
b) The distance between 2 cities on a map is 12 cm. The map uses a scale of 1 cm is equivalent to 65 kilometers. What is the actual distance between the 2 cities?
Answer:
1. 425 kilometers
2. 780 kilometers
Step-by-step explanation:
1. 50×8.5= 450 kilometers
2. 65×12=780 kilometers
asap! plsss helo i’ll give brainliest
Answer:
The answer is 5 N norths I think :)
Step-by-step explanation:
What is the length of side bd?
b
13 cm
a
d
C
10 cm
Answer:
12cm
Step-by-step explanation:
bc= 13cm (c) hypotenuse is always c
dc= 10÷2. (b)/(a) it can be a or b, any also long it's not the hypotenuse
= 5cm
bd= use phytagoras theorem formula
c²=a²+b²
13²=5²+b²
169=25+b²
169-25=b²
144=b²
b=
[tex] \sqrt{144} [/tex]
b=12
bd=12cm
Can you pls help me
Answer:
I think the two answers would be A & D.
Explanation:
Sorry if I'm wrong.
Answer:
The answer is D
Does anyone know how to solve this?
Answer:
$ 22.5
Step-by-step explanation:
B(x) = 30.50 - 0.20x
Notice that x defines the number of prints.
For prints = x = 40
B(40) = 30.50 - 0.20(40)
B(40) = 30.50 - 8
B(40) = 22.5
Remaining amount is $22.5
B(x) is defined as at starting you had $30.50 then you kept on spending with a period of 20 cents(= 0.20 dollar). So 30.50 kept on decreasing by 0.20. Each time you spend, you give 0.20.
That's why the function is 30.50 - 0.20x.
Where x is the nunber of times you spend(buying prints)
On a standardized exam, the scores are normally distributed with a mean of 350 and
a standard deviation of 40. Find the Z-score of a person who scored 346 on the exam.
Answer:
[tex]\boxed {\boxed {\sf z= -0.1}}[/tex]
Step-by-step explanation:
A z-score helps describe the relationship between a value and the mean of a group of values. Basically, it tells us how many standard deviations away from the mean a value is. The formula is:
[tex]z= \frac{x- \mu}{\sigma}[/tex]
where x is the value, μ is the mean, and σ is the standard deviation.
For this standardized exam, the mean is 350 and the standard deviation is 40. We want to find the z-score for a value of 346.
x= 346 μ= 350 σ= 40Substitute the values into the formula.
[tex]z= \frac{ 346-350}{40}[/tex]
Solve the numerator.
[tex]z- \frac{ -4}{40}[/tex]
Divide.
[tex]z= -0.1[/tex]
The z score is -0.1, so the person with a score of 346 on the exam was 0.1 standard deviations lower than the mean.
Mila graphs the point A (5, 0) on a coordinate plane.
Which of the following statements are true?
Select all that apply.
Point A is 5 units to the right of the origin and up 1 unit______________
B. The x-coordinate of point A is 5.
C. The y-coordinate of point A is 5.
D. Point A is on the y-axis.
E. Point A is on the x-axis.
Answer:
answers B and E are true.
Step-by-step explanation:
(5,0) means x=5, y=0
the point of origin is (0,0) with x=0, y=0
therefore, A is wrong. yes, the point is 5 units to the right of the origin, but 0 (no) units up. and not 1.
B is therefore true.
C is therefore wrong.
D is wrong, because the point is to the right of y-axis (the vertical axis) and not on it.
E is true, because we go only to the right of the origin, but neither up or down. so, we stay on the x- axis (horizontal axis).
Which expression is equivalent to 2(2x + 1) + 3x + 3?
A) 4x + 3
B) 4x + 5
C) 7x + 4
D) 7x + 5
Answer:
D) 7x+5
Step-by-step explanation:
2(2x+1)+3x+34x+2+3x+37x+5hope it helps.
stay safe healthy and happy.Answer:
[tex]D) 7x + 5[/tex]
Step-by-step explanation:
[tex]2(2x+1)+3x+3[/tex]
[tex]2(2x)+2 \times 1+3x+3[/tex]
[tex]4x+2 \times 1+3x+3[/tex]
[tex]4x+2+3x+3[/tex]
[tex]7x+2+3[/tex]
[tex]7x+5[/tex]
Hope it is helpful.....can someone pls help first gets brainilest
You and your friends live on the same street. One friend lives to the East of you and the other lives to the West. You walk three blocks West to pick up your first friend and then walk five blocks East to visit your other friend. How far does the second friend live from you? Is the answer positive or negative? How do you know this? Model your work using the manipulatives provided and then record your work on your record sheet.
Answer:
2 blocks
Step-by-step explanation:
if you go from zero to -3 on the number line and then go to the right by 5 units, you wind up at 2
the answer choices are :
1
2
3
4
5
or
6
Answer: 5
Step-by-step explanation:
The mode is the number that appears the most often in the set of data. As we can see, 5 is the most common number.
The options are (will/will not) and (above/below)
Answer:
Step-by-step explanation:
The answer are will not and below
Answer:
1. will be approved
2. above
True or false help me plz
Answer:
you cant seetge graph
Step-by-step explanation:
take a better pic
Answer:
Sorry but there is not enough information here for me to answer. Please repost and make sure you put the table/graph in the question!
Find the volume of the prism
Answer:
270
Step-by-step explanation:
used formula LxWxH
What is the length of the hypotenuse? 13 in 45 marking brainliest and giving thanks to all!!
Answer:
the Last angle equal 45
because we have 90 and 45 so to complete the 180 Degrees we have to put 45
169+169=x²
2×169=x²
x=13√2
the answer is B
One month Isabel rented 5 movies and 3 video games for a total of $22. The next month she rented 2 movies
and 6 video games for a total of $34. Find the rental cost for each movie and each video game.
ILL GIVE BRAINLIEST. plsss help adap
Answer:
i think its the first one im not 100% sure but i think it is
Step-by-step explanation:
hopefully this helps
Answer:
Acceleration decreases velocity until the car stops.
PLS HELP WILL MARK BRAINLEST PLS
Enter five expressions: a sum, a difference, a product, a quotient, and one that involves at least two operations that have the value of -3/4 (the fraction)
Step-by-step explanation:
To find - Enter five expressions: a sum, a difference, a product, a quotient, and one that involves at least two operations that have the value of -3/4 (the fraction)
Solution -
Expression for sum is -
1/4 + (-1) = -3/4
Expression for difference is -
(1/4 - 1) = -3/4
Expression for product is -
(-3/2)(1/2) = -3/4
Expression for quotient is -
(1 - 4)/4 = -3/4
Expression that involves at least two operations is -
-(1/4 + 2/4) = -3/4
Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. x2 + 16x
Answer:
[tex]$64, \ (x+8)^2$[/tex]
Step-by-step explanation:
A perfect square trinomial is defined as an expression that is obtained from squaring a binomial equation. The perfect square trinomial is in the form of [tex]$ax^2+bx+c$[/tex].
The given expression is :
[tex]$x^2+16x$[/tex]
The co-efficient of the x-term in [tex]$x^2+16x$[/tex] is '16'.
So half of the term 16 ,
[tex]$\frac{16}{2} = 8$[/tex]
and [tex]$(8)^2=64$[/tex]
Now add 64 to the expression:
[tex]$x^2+16x+64$[/tex]
Therefore, the perfect square trinomial is
[tex]$(x+8)^2=x^2+16x+64$[/tex]
Can someone please help me on this?
A toy remote control car is driven across a table. Based on the graph, how far from the start line will the car be after 5 seconds?
50 cm
100 cm
120 cm
160 cm
Answer:
100 cm
Step-by-step explanation:
This is a linear function with an equation of y = 20x.
Plug 5 in for x to get 100 as your answer.
Answer: 100 cm
Step-by-step explanation: Since the car can travel 20 cm per second and it traveled 80 cm in 4 sec, then it can travel 100 cm in 5 seconds
(Tip: If it asks to show your work, try drawing a ratio table and write the centimeters it travels per second .)
can u guys help me with
5 divided by 1/3
Answer:
15
Step-by-step explanation:
Keep, Change, Flip. That is the mantra you should have when you come to division problems with fractions. So you would keep the 5, change the sign into multiplication, and flip the fraction from 1/3 to 3/1 (which actually is just 3). Then you would multiply 5 * 3. Your answer should be 15.
Answer:
15
Step-by-step explanation:
To divide any number by a fraction, flip the fraction and then multiply:
[tex]5 \div \frac{1}{3} = 5 \cdot \frac{3}{1} = 15[/tex]
How many solutions are there to the equation 3x – 5 = 2 x - 3 - x?
A. no solutions
B. exactly one solution exactly
C. two solutions
D. infinitely many solutions
Find the difference. (−r−10)−(−4r2+r+7)
The value of the expression, [tex](-r-10)-(-4r^2+r+7)[/tex] is [tex]4r^2-2r-17[/tex] such that [tex](-r-10)-(-4r^2+r+7)[/tex].
DifferenceThe difference between the two numbers [tex]a[/tex], and [tex]b[/tex] is [tex](a-b)[/tex].
How to simplify the arithmetic expressions?Simplify the given expression as-
[tex](-r-10)-(-4r^2+r+7)=-r-10+4r^2-r-7\\=4r^2-2r-17[/tex]
Thus, the value of the expression, [tex](-r-10)-(-4r^2+r+7)[/tex] is [tex]4r^2-2r-17[/tex].
Learn more about arithmetic expressions here- https://brainly.com/question/17722555
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It takes ryan 10 hours to pick up 40 bushels of apples in air gen can pick the same amount in 14 hours how long would it take
Answer:
56
Step-by-step explanation:
40/10= 4 every hour
14x4=56
Find the common difference of the arithmetic sequence 7, 5, 3, ...
Answer:
-2
Step-by-step explanation:
they are decreasing by 2 each time
What is an
equation of the line that passes through the points (-4, -3) and
(3, -3)?
Answer:
y=-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-3-(-3))/(3-(-4))
m=(-3+3)/(3+4)
m=0/7
m=0
y-y1=m(x-x1)
y-(-3)=0(x-(-4))
y+3=0(x+4)
y+3=0
y=0-3
y=-3
jackson bought a soft drink for $2 and 7 mini pizzas. He spent a total of $16. How much did each mini pizza cost? (Turn the problem into an algebraic equation AND solve for the variable to find the answer.)
Answer:
y = 7x + 2
spent $2 per pizza
*x = 2
Step-by-step explanation:
7 (2) +2
14+2
16
Answer:
The guy above me is correct, give him brainliest
Step-by-step explanation:
Can Someone Answer this???
Answer:
Step-by-step explanation:
I need the answer choices to be able to answer this question
PLZ HELPP I BEGG BRANLIEST PROVIDED.PLZZZZZZZZ
Answer:
30.375
Step-by-step explanation:
Volume of a rectangular prism = Length times Width times Height
If width = 3, length = 2 and 1/4 and height = 4 and 1/2
Then volume = [tex]3*2\frac{1}{4} *4\frac{1}{2}[/tex]
[tex]3*2\frac{1}{4} *4\frac{1}{2} =\frac{243}{8}[/tex]
Therefore the volume of the prism is 243/8 or 30.375
Answer:
30 3/8 or 30.375 m^3
Step-by-step explanation:
I'm not sure if they want the decimal or fraction, so I gave both.
1/4 = 0.25
1/2 = 0.5
3 * 2.25 * 4.5 = 30.375 m^3