Answer:
100 divided by 40 is 14
Step-by-step explanation:
just dived 100 by 40 is 14 then add 7 to 14 they give you 21
Harry is installing a surveillance camera at the entrance of a Deli. He mounts the camera 8ft above the ground and 16 ft horizontally from the entrance. The camera is meant to monitor every customer who enters and exits the store. At want angle of depression should Harry set the camera to capture the faces of all customers? Use a diagram and mathematical calculations to help you explain your answer.
Answer:
The angle of depression is found.
θ = 26.56°
Step-by-step explanation:
Let point A be the entrance of a Deli.
Let point C be the location of camera.
Let point B be the horizontal distance from entrance to the camera.
It forms a right angled triangle. where Base = 16 ft and Perpendicular = 8 ft.
Let θ be the angle of depression at point B which is always equal to the angle of elevation at point A.
Using tan θ
[tex]tan\theta= \frac{Perpendicular}{Base}\\tan\theta=\frac{8}{16}\\\theta=tan^{-1}\frac{8}{16}\\\theta=26.56^\circ[/tex]
If y varies inversely as x2 and y = 3 when x = 2, find the equation that connects x and y.
============================================================
Explanation:
"y varies inversely as x^2" means y = k/(x^2) for some constant k.
Plug in (x,y) = (2,3) and solve for k
y = k/(x^2)
3 = k/(2^2)
3 = k/4
3*4 = k
12 = k
k = 12
The original equation updates to y = 12/(x^2)
As a check, plugging in x = 2 should lead to y = 3
y = 12/(x^2)
y = 12/(2^2)
y = 12/4
y = 3 ... we get the proper y value, so the answer is confirmed.
The equation that connects x and y, is, y = 12/(x^2).
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
"y varies inversely as x^2" means y = k/(x^2) for some constant k.
Plug in (x,y) = (2,3) and solve for k
y = k/(x^2)
3 = k/(2^2)
3 = k/4
3*4 = k
12 = k
k = 12
The original equation updates to y = 12/(x^2)
As a check, plugging in x = 2 should lead to y = 3
y = 12/(x^2)
y = 12/(2^2)
y = 12/4
y = 3 ... we get the proper y value,
Hence, The equation that connects x and y, is, y = 12/(x^2).
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Given: Line A B intersects Line D E at point C.
Prove: AngleDCB Is-congruent-toAngleECA
Line D E intersects line B A at point C.
A 2-column table with 6 rows. Column 1 is labeled statements with the entries line A B intersects line D E at point C, angle D C B and angle B C E are a linear pair, angle D C B is supplementary to angle B C E, angle B C E and angle E C A are a linear pair, angle B C E is supplementary to angle E C A, angle D C B is-congruent-to angle E C A. Column 2 is labeled reasons with the entries given, definition of linear pair, linear pair post, definition of linear pair, question mark, congruent to supplementary theorem.
What is the missing reason in step 5?
linear pair postulate
given
definition of complementary angles
congruent complements theorem
Answer:
linear pair postulate
Step-by-step explanation:
The linear pair postulate is the missing step.
What's the meaning of a linear pair of lines?Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines.
What is a Postulate?Postulate statement received without evidence. Axiom is any other name for postulate. for instance, if you understand that Pam is 5 feet tall and all her siblings are taller than her, don't trust her if she says that all her siblings are at the least 5 toes tall.
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The sum of two consecutive integers is -15. If
1 is added to the smaller integer and 2 is
subtracted from the larger integer, what is the
product of the two resulting integers?
PLEASE HELP AND EXPLAIN BECAUSE I DONT GET IT
15 POINTS
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The product of the two resulting integers is 80.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Let the unknown integer be represented by x. Given that the sum of two consecutive integers is -15. Therefore, we can write,
x + (x+1) = -15
2x + 1 = -15
2x = -16
x = -8
Thus, the smaller integer is -9 and the larger integer is -8.
Now, If 1 is added to the smaller integer and 2 is subtracted from the larger integer.
Smaller Interger = -9 + 1 = -8
Larger Integer = -8 - 2 = -10
Further, the product of the two resulting integers is,
Product = -8 × -10
= 80
Hence, the product of the two resulting integers is 80.
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Please answer the question stated below
Answer:
$252
Step-by-step explanation:
We need to find 30 percent of 400 dollars. Thirty percent can be written as 30/100, or 0.3.
Multiply 400 by 0.3, and we get $120. Since $120 is 30% of 400, we subtract 400 by 120. This gives us $280.
$280 is now the sale price. We need to find 10% of 280. Multiply 280 by 0.1, which gives us $28. This amount is taken off of the sale price, so we need to subtract 28 from 280.
280-28 is $252. This is the final price she will pay.
Please help me. Giving all these points for correct answer.
Answer:
7.722 cm^2.
Step-by-step explanation:
The area required is 1/4 of the difference of the area of the square and the circle.
The radius of the circle = 1/2 * 12 = 6 cm.
The area required = 1/4 * (12^2 - 3.142 * 6^2)
=7.722 cm^2.
Answer:
7.72500
Step-by-step explanation:
Here are the steps for and problem like this one.
Write an inequality to represent the situation.Remove Parenthesesmultiply the numbers (in this case it would be 2×3=6)Subtract the numbers (in this situation it would be -54 - 6 = - 60)A sprinter travels a distance of 300 m in a time of 28.22 seconds. What is the sprinter's average speed rounded to 4 sf?
Answer:
[tex]10.6 \: m/s[/tex]
Step-by-step explanation:
Average speed = distance covered divided by the time taken.
[tex]S=\frac{d}{t}[/tex]
[tex]\frac{300}{28.22}[/tex]
[tex]=10.63075[/tex]
Answer:
10.63m/s
Step-by-step explanation:
distance traveled=s=300m
time taken=t=28.22s
average speed=v=?
average speed=[tex]\frac{distance covered}{time taken}[/tex]
average speed=[tex]\frac{300m}{28.22s}[/tex]
average speed=10.63075m/s
now in the question it is said that round to 4 significant figures so will write only first four digits
average speed=10.63m/s
Having a hard time on these 2
Answer:
3. A = 363.3 mm²
4. A= A = 1122.4 yd²
Step-by-step explanation:
pretty sure these are correct
plz mark brainliest!
One car leaves town traveling at 72 miles per hour (mph). An hour later, a second car leaves the same town, on the same road, traveling at 90 mph. In how many hours will the second car overtake the first?
Answer: i think its 1.25hrs
Step-by-step explanation: 90/75=1.25
please help with this ! will give brainless
Answer:
x^13
2n^2x-5n^7
-6x^10-x
60s^7
6v^7
p^6
-4b^9/3
pls mark as brainliest if its right :)
The area of a triangle is 17.5 square meters. The height of the triangle is 3 meters less than twice its base. The base of the triangle is x meters. Complete the equation that represents this description and fill in the values for the base and height of the triangle. The equation modeling the described triangle is x2 + x + = 0. The base of the triangle is meters. The height of the triangle is meters.
Answer:
A = ½ * base * height
A = ½ * x * (2x-3)
17.5 = ½ * (2x² - 3x)
35 = 2x² - 3x
0 = 2x² - 3x - 35
2x² - 3x - 35 = 0 .......... (the equation)
(2x + 7)(x - 5) = 0
2x + 7 = 0
2x = - 7
x = -7/2 = -3.5
x-5 = 0
x = 5
since we have two result of x, then we can choose the positive one x = 5
so the base is 5 m and the height is
h = (2x - 3) = 2*5 - 3 = 10-3 = 7 m
A rectangular bathtub has a depth of 24 in., a width of 24 in., and a length of 60 in. If the tub is filled up to
3 inches below the top, how much water is in the tub?
Answer:
The amount of water is [tex]30,240in^3[/tex]Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a rectangular prism in the form of a bathtub.
Given data
depth of bathtub= 24 in
width of bathtub= 24 in
length of bathtub= 60 in
the volume of water in the bathtub is a function of the depth of water in relation with the dimension of the bathtub.
the depth of water is 3 in below the the top
hence the depth of water (24 in- 3 in)= 21 in
the expression for the volume of water is given as
[tex]volume= length* width*depth\\volume= 60*24*21=30,240in^3[/tex]
y = 2x + 4
y = -x + 1
What is the solution to the system of equations?
A. (-1, 2)
B. (-1, 1)
C. (-2, 0)
D. (0, 1)
A marine biologist is interested in the daily percent intake of a particular nutrient and how it relates to growth of tiger
shrimp. She finds the growth of the tiger shrimp, G, is dependent on the daily percent intake of this nutrient, X, and can be
modeled by the function
Go) = 2 +7x.
Answer:
See picture attached
Step-by-step explanation:
The missing question is:
Draw the graph of the growth function by plotting its G-intercept and another point.
Given the function:
G(x) = 2 + 7x
its G-intercept is found when variable x is equal to zero.
G(0) = 2 + 7(0) = 2
Then, the G-intercept is point (0, 2)
To graph a line, two points are needed. Replacing x = 1 into the equation, we get:
G(1) = 2 + 7(1) = 9
So, point (1, 9) is on the line. The graph of the function is the line that passes through these two points, as can be seen in the picture attached.
There are 8 students in our Math class left to give their presentations. Today
we will have time for 5 presentations. How many different ways can the
teacher choose the presenters?
OA) 56
OB) 112
OC) 168
OD) 336
Answer:
Option A. 56
Step-by-step explanation:
The question talks about chosing 5 presenters out of 8 presenter.
This can be achieved b using the following formula:
nCr = n! /r! (n–r)!
n = 8
r = 5
8C5 = 8! / 5! (8 – 5)!
8C5 = 8! / 5! 3!
8C5 = (8 x 7 x 6) / (3 x 2 x 1)
8C5 = 56
Therefore, there are 56 ways in which the teacher can chose the presenters.
Answer: Choice A
Step-by-step explanation:
A Professor at a University sent his phone number in a disorderly manner to his students. The disordered phone number was 64001128454.
To know his real phone number, he gave the student the following conditions:
1. Eight (8) must come between two zeros (0's).
2.The first number after the first condition is met must not be an odd number and it must be greater than 5.
3. The seventh number must be 1.
4. The fifth and sixth numbers must be two numbers whose difference is 1 and the bigger number must come first.
5. The fifth and sixth numbers are greater than 2.
6. The ninth and tenth numbers are the same.
7. The eighth number is greater than the last number.
8. The phone number must be 11 digits.
What was the Professor's real phone number?
Answer:
I found 608054144112
If the number isn't found by the given condition, write a variable to advance. but it is comfortable to solve if you follow them one by one
Ann increased the quantities of all the ingredients in a recipe by 60% She used 80 grams (g) of cheese How much cheese did the recipe require?
Answer:g = 50 g
Step-by-step explanation:
She used 60% more than required ⇒ she used (1+0.60)=1.60 times what was required.
x = grams required by the recipe
80 g = 1.60x
x = (80/1.60) g = 50 g
A large cheese pizza costs 18 dollars.. Each topping you add on costs $1.50
How much would it cost to get a large cheese pizza with c toppings added?
Write your answer as an expression.
Answer:
1.50c +18
Step-by-step explanation:
The constant price is 18 dollars, which never changes and for every topping you get, it costs $ 1.50. Since we don't know how many extra toppings are added we write 1.50c. This shows that the price will be determined by the number of extra toppings added. If you got no toppings, sub in 0 for c to get $ 18 .
Answer:
1.50c+18
Step-by-step explanation:
The base price of the large cheese pizza is $18. Since we don't know how many extra toppings are added we write 1.50c. This shows that the price will be determined by the number of extra toppings added. Since the question asked for an expression and not an equation, there is no equals sign.
Help I don’t understand the concept
Answer:
C. No, because one x-value corresponds to two different y-values
Step-by-step explanation:
An x-value cannot have two y-values. Hope this helps!
Answer:
c ) No because one x-value corresponds to two different y-values
Step-by-step explanation:
Every X needs to have one y value
Which of the following is the measure of an acute angle?
A. 126
B. 86°
C. 90°
Answer:
b
Step-by-step explanation:
an acute angle is an angle that is smaller than 90 degrees.
if the angle is exactly 90 degrees, then it is a right angle.
anything larger than 90 degrees is considered to be an obtuse angle.
Hope this helps for other questions like this as well!
Angle 86° is less than 90°. Then the angle of 86° will be an acute angle. Then the correct option is B.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
The types of angles are as follows:
If the measure of the angle is less than 90°, then the angle is an acute angle.
If the measure of the angle is equal to 90°, then the angle is a right angle.
If the measure of the angle is greater than 90°, then the angle is an obtuse angle.
Angle 86° is less than 90°. Then the angle of 86° will be an acute angle. Then the correct option is B.
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Use the set of ordered pairs to determine whether the relation is a function. {(19,15),(−25,0),(−16,11),(−2,12),(−16,14),(−13,20)}.
Answer:
It is non function
Step-by-step explanation:
because the x values repeated, the input ( x values) produce more than one output.
This is not a function because for a value of x the value of the y comes out to be two.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The set of ordered pairs are as given below.
{(19,15),(−25,0),(−16,11),(−2,12),(−16,14),(−13,20)}
The relation to be a function for each value of the x the value of the y should be unique.
This is not a function because for a value of x the value of the y comes out to be two.
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which is equal to 500?
The right answer is 10√5..
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
2nd one
Step-by-step explanation:
If you look at all the factors the highest pair with a square root is 5•100
The square root of 100 is 10
And then the square root of 5 is left
6. What is a reasonable temperature to cook a chicken?
a) 100°F b) 200°F c) 300°F d) 400°F
Answer:
200°F
Step-by-step explanation:
165 degrees Fahrenheit is the safe internal temperature for both the white meat and dark meat.
Answer:
The answer might be B. I hope this helps please tell me if right or wrong.
Step-by-step explanation:
What is the most efficient way to solve this equation?
18c = 108
Divide both sides by 18
Multiply both sides by 108.
Multiply the left side by 18.
Divide both sides by c.
Please don’t guess :(
Answer:
Divide both sides by 18
Step-by-step explanation:
This is the most efficient way to solve this equation because you can find the variable (c) in one step.
Travis has the following problem for homework:
82 - 16 x 4 + 18+ [(36/6) - 2]
His neighbor, Ted, says "just solve it working left to
right." Ted gets an answer of 51.
What is the correct answer? (Hint: Ted doesn't know
PEMDAS).
Answer:
The correct answer is -4
Step-by-step explanation:
First you have to solve what is in the parenthesis. So do 36/6 which is 6 and then subtract 2 to get 4. Then you have to do the multiplication so 16 x 4 and you get 64. then you can go left to right. 82-64+18+4 and when you do that you get -4
Help please if you answer you get 25 points
Answer:
8.9
Step-by-step explanation:
Use Pemdas or Bedmas ( Brackets, Exponents, Division, Multiplication, Addition, Subtraction.
First add 4.5 and 7.6, you get 12.1
Now do the division, 8/2.5 = 3.2
Lastly you subtract, 12.1-3.2 = 8.9
There are 42 technicians to repair 6 Aircrafts. The ratio of Aircrafts to technicians is…
Answer:
6:42 or 1:7 simplified.
Step-by-step explanation:
Simplify: 6-/18 - 3.450
Answer:
-3.11666666667
Step-by-step explanation:
remove parentheses by multiplying factors.
use exponent rules to remove parentheses in terms with exponents.
combine like terms by adding coefficients.
combine the constants. hope this helps you :)
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function? Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
uquzas prguntale ea otroi
Which input was substituted into the function f(x) = x to
create the given graph?
Of(x + 2.5)
Of(x - 2.5)
Answer: f(x-2.5)
Step-by-step explanation: