Answer:
0.5Step-by-step explanation:
0.05 divided by 1/10
0.05 : 1/10 =
0.05 * 10 =
0.5
What is the equation of the line -3 x - 2 y= 30 in slope intercept form
Answer:
[tex]y=-\frac{3}{2}x-15[/tex]
Step-by-step explanation:
The slope intercept form is y=mx+b, where m is the slope and b is the y intercept.
So, all we have to do is make y the subject.
[tex]-3x-2y=30\\-2y=3x+30\\y=\frac{3x+30}{-2} \\y=-\frac{3}{2}x-15\\\\[/tex]
Answer:
y = (3/2)x - 15
Step-by-step explanation:
For it to be in slope intercept form, y has to be the subject of the equation, so it's a simple matter of rearranging the equation.
Original:
-3x - 2y = 30
and we want y to be the subject, so we start moving terms:
-3x = 30 + 2y
-3x - 30 = 2y
now it's just a matter of dividing both sides by 2 to give y as the subject
(-3/2)x - 15 = y
y = (-3/2)x - 15
A boat sails directly toward a 250-m skyscraper that stands on the
edge of a harbor. The angular size of the building is the angle
formed by lines from the top and bottom of the building to the
observer (see figure). Complete parts (a) and (b) below.
a) The value of [tex]\theta[/tex] as a function of "x" is [tex]\theta = tan^{-1}\frac{250}{x}[/tex]
b) The rate of change of the angle with respect to x is -0.000308rad/m
Find the complete question and diagram attached
Form the right-angled triangle shown:
Adjacent side = x
Opposite side = 250m
angle of elevation = [tex]\theta[/tex]
Using the SOH CAH TOA identity
[tex]tan\theta = \frac{opposite}{hypotenuse} \\tan \theta = \frac{250}{x} \\\theta = tan^{-1}\frac{250}{x}[/tex]
Hence the value of [tex]\theta[/tex] as a function of "x" is [tex]\theta = tan^{-1}\frac{250}{x}[/tex]
b) If x = 450m
[tex]\theta = tan^{-1}\frac{250}{x}\\tan \theta = \frac{250}{x}\\[/tex]
Differentiate both sides with respect to "x"
[tex]sec^2 \theta \frac{d\theta}{dx} = \frac{-250}{x^2} \\ \frac{d\theta}{dx} = \frac{1}{sec^2\theta} \times \frac{-250}{x^2}[/tex]
Substitute x = 450m and [tex]\theta = 60^0[/tex] into the resulting expression to have:
[tex]\frac{d\theta}{dx} = \frac{1}{sec^260^0} \times \frac{-250}{450^2}\\\frac{d\theta}{dx} = (cos60)^2\times \frac{-250}{202,500}\\\frac{d\theta}{dx} = 0.5^2\times \frac{-250}{202,500}\\\frac{d\theta}{dx} =-0.000308[/tex]
Hence the rate of change of the angle with respect to x is -0.000308rad/m
Learn more here: https://brainly.com/question/15580615
7 and a number equals 21
Answer:
7x3=21
Step-by-step explanation:
7+7+7=21, 7x3=21
Pls help I need a good grade I’ll add extra points
Answer:
i
Step-by-step explanation:
you have to write about the remaining people if they had gas problems and write what happened next maybe he was arrested for the sauce made Thanks
What do I do?
Backstory)) Today as I was waking to lunch with a few people that were my so called friends, they are in the dance team and they wanted to go and help sell tickets there was one small table to sell tickets. But the thing is that there is only room for about 4 people on that table but they fit 7 which logically I think we all know that 7 people don’t need to sell tickets, only if 2 people actually bought tickets
So as we entered the cafeteria I followed them (I am not on the dance team) they went to that very table then I asked the obvious question where should I sit? Cause there want room for me. Then one of my friends pointed at an empty table and told me to sit there. I sit there the whole lunch eating only a few. I am stressed when nobody is next to me eating which causes me to eat less. Cause I feel everyone is staring at me. So I act like I am fine. Then after that we had some free time. I went to the bathroom the whole free time to just cry. But the thing is as the free time started they didn’t come and get me they just walked off so that’s why I went to the restroom and stayed in there for a little till the bell rang.
So what should I do they are going to do the same thing tomorrow and I am getting stressed cause I have no other friends to sit with.
Answer: I would see the councilor and see if that can help thats what I did they gave me option and I also could have had a pass to eat with a teacher or I could eat in there office :)
In a school 2/3 parts of the total numbers of students. 3/10 parts are between 8 to 12 years and the remaining are above 12 years . What parts of the students are above the age of 12 years.
ans:3/10
3/10
As you know the answer already I don't think you need any further explanation :)
Which among the following is the solution to
4x -10 < 14
the equation
Select the correct response:
a. x<5
b. X>6
c. X<6
d. x>5
Answer:
4x - 10< 14
4x < 14 + 10
4x < 24
x < 6
from the answer c is the correct option.
A boy needs to grill 13 pounds of meat for a cookout. Determine the Maximum cost per pound that he can afford if he wants to spend the most $70 on his meat purchase
Answer:
$5.38 per pound
Step-by-step explanation:
70/13=5.384615
5.38x13=69.94
You rotate triangle DEF with coordinates D(-2, 2), E (1,5), and F(4, -1) 90° counterclockwise about the origin.
Answer:
70
Step-by-step explanation:
Rotating triangle DEF counterclockwise by 90° about the origin using the rule (x,y) becomes (-y,x) results in new vertices D'(-2, -2), E'(-5, 1), and F'(1, 4).
When rotating triangle DEF counter-clockwise by 90° about the origin using the rule D(x,y) becomes D'(-y,x), the new coordinates are as follows:
⇒ Vertex D(-2, 2) becomes D'(-2, -2),
⇒ Vertex E(1, 5) becomes E'(-5, 1),
⇒ Vertex F(4, -1) becomes F'(1, 4),
This rule swaps the "x" and "y" coordinates while negating one of them, effectively rotating the points 90° counterclockwise around the origin.
Therefore, the new vertices are D'(-2, -2), E'(-5, 1), and F'(1, 4).
Learn more about Rotation here
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what is rhe vertex of the graph of the function f(x)=x²+6x+9
Find the product of 44.6 and 2.24.
(Show your work)
Answer:
46.84
Step-by-step explanation:
Add the decimals first to get .84 then add the real numbers to get 46.
Which phrase has the same meaning as 12y - 2?
-
O A. Subtract the sum of 12 and y from 2.
O B. Subtract 2 from the sum of 12 and y.
O C. Subtract the product of 12 and y from 2.
D. Subtract 2 from the product of 12 and y.
Which equation, when solved, results in a different value of x than the other three? O -7-9-20 0 + 5 3 7 X=-20 4 O 3 4. - (b)*--20 +7(49-2-06-4) 8 O
Answer:
1
Step-by-step explanation:
Find the equation (in terms of x ) of the line through the points (-1,4) and (2,-5)
Answer:
( 1 , -3 ) for every +1 on the x line you go -3 on the y I hope this is what you need
The ratio of boys to girls in math is 9 to 12. Write this ratio to girls in simplest form as a fraction.
Answer:
3/4
Step-by-step explanation:
you can make it into a fraction just putting it like this 9/12
well 12 - 9 = 3
so we divide by it
9÷3 = 3
12÷3 = 4
lastly you put these as a fraction
3/4
I hope this helps :)
Please help!
In the figure below, P is the midpoint of LM, and Q is the midpoint of MN. Use the Midpoint formula to find the location of point P and point Q.
Answer:
P= (5.5, 8)
Q=(8.5,5)
Step-by-step explanation:
Coordinates of L: (2,7)
Coordinates of M: (9,9)
Coordinates of N: (8,1)
Midpoint formula is: [tex]\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)[/tex]
P is the midpoint of LM, so the coordinates of P will be ((2+9)/2,(7+9)/2)
P's coordinates are (5.5, 8)
Q is the midpoint of MN, so the coordinates of Q will be ((9+8)/2,(9+1)/2)
Q's coordinates are (8.5,5)
150 miles on 4 gallons of gas. How many miles for 1 gallon of gas?
Answer: answered
A motorcycle can go 50 miles using one gallon of gas. About how many gallons of gas will be used to go 150 kilometers? (Hint: 1 mile is approximately 1.6 kilometers)
Step-by-step explanation:
Answer:37.5
Step-by-step explanation:
given the drawing below what is the difference between angle D and angle B
Answer:
given the drawing below what is the difference between angle D and angle B
Step-by-step explanation:
The lengths of the sides of a square are multiplied by 3.5. How is the ratio of the areas related to the ratio of the side lengths?
A. The ratio of the areas is the square of the ratio of the side lengths.
B. The ratio of the areas is the same as the ratio of the side lengths.
c. The ratio of the areas is the cube of the ratio of the side lengths.
d. The ratio of the areas is the square root of the ratio of the side lengths.
Answer:
A The ratio of the areas is the square of the ratio of the side lengths.
Step-by-step explanation:
10 x 3.5 = 35 and would be the same size each
35 x 35 = 1225
Ratio of areas = 10x10 and 10x3.5 x 10 x 3.5 = 100 : 1225 = 4: 49
Therefore just from doing this we can find easily by referring back to ratio above shown.
D IS NOT TRUE This means the ratio of the areas (1225) is the square root of the ratio (sqrt1225=35) of the side lengths (35:35) is not true
sqrt 1225 is 35 and becomes a square root of the area
Where matching this to ratio of sides is not true as 35:35= 1:1 and the ratio to the sides are not the same as ratio of two areas. But when we square we get the answer right.
when we cross multiply (division) we find find the ratio of areas 100:1225 is NOT TRUE AND NOT SAME AS ratio 10:35
We therefore left with DIVIDING THE ratio SIDES AS SIMPLIFIED into the Areas ABOVE to show-
1225/49 = 25 same here we have the area same ratio as
100/4 = 25 same
10:35 = 3.5^2 + 3.5^2 =12.50 + 12.50 = 25
A IS TRUE. as when we square the ratio 1=3.5 and add them together 1=3.5^2 +3.5^2 we get answer = 25
Answer:
A. The ratio of the areas is the square of the ratio of the side lengths. Is correct.
Hope this helps!
Show your solution follow the steps need an answer, please need an answer, please.
Answer:
Step-by-step explanation:
27 ) 2x² - x - 1 = 0
2x² - 2x + x - 1 = 0
2x ( x - 1) + (x - 1) = 0
(x - 1)(2x + 1) = 0
x - 1 = 0 ; 2x + 1 = 0
x = 1 ; 2x = -1
x = -1/2
x = 1 ; -1/2
Option b
28) Area of a rectangle = 24 cm²
length * width = 24
(3x +2 )(2x -1) = 24
3x(2x -1) + 2(2x - 1) = 24
3x *2x - 3x *1 + 2*2x - 2*1 = 24
6x² -3x + 4x - 2= 24
6x² + x - 2 -24 = 0
6x² + x - 26 = 0
6x² -12x + 13x - 26 = 0
6x(x - 2) + 13(x - 2) = 0
(x -2)(6x +13) = 0
x = 2 {Ignore 6x + 13 as it gives negative value}
length = 3x + 2 = 3*2 + 2 = 6 + 2 = 8 cm
Width = 2x - 1 = 2*2 - 1 = 4 - 1 = 3 cm
29) Area of square = 900 cm²
Side² = 900
(5x)² = 900
25x² = 900
x² = 900/25
x² = 36
x = √36 = √6*6
x = 6 cm
30) base = b cm
height = b + 2
Area of triangle = 24 cm²
[tex]\dfrac{1}{2}base*height = 24\\\\\dfrac{1}{2}*b*(b+2) = 24\\[/tex]
b(b + 2) = 24*2
b² + 2b = 48
b² + 2b - 48 = 0
b² - 6b + 8b - 48 = 0
b(b - 6) + 8(b - 6) = 0
(b - 6) (b + 8) = 0
b - 6 = 0 {Ignore b +8 = 0 as it gives negative value}
b = 6 cm
height = 6+ 2 = 8 cm
help please
Make up two equations, one that is true and one that is false. State which equation is true and which is false.
Answer:
57+20= 90 (false)
40+39= 79 (true)
Answer:
14 * 9(-9) - 8 = 1142 9 - 45(-3) + 7 = 151
Step-by-step explanation:
14 * 9(-9) - 8 = 1142 9 - 45(-3) + 7 = 151
(This one is true) (This one is false)
Find the area of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate
Thank you!
Answer:
104 ft²
Step-by-step explanation:
The area of the rectangle is represented by the following:
8ft x 10 ft = 80 ft
The area of the triangle is represented by the following:
(6ft x 8ft) divided by 2 = 24
By combining the values, you get 104 square feet.
PLEASE HELP ITS MATH THANK YOUUUU
Kenji and Alec are making paper kites for a kite fight, Kenji's kite is a rectangle and Alec's kite is a
parallelogram that is not a rectangle. Each boy draws
a model of his kite on grid paper. Does Alec's kite use
more paper than Kenji's kite?
Answer:
No
Step-by-step explanation:
Kenji's kite uses more paper
Calculate the quotient of 54256/45 round to the nearest tenth
Answer:
3.4
Step-by-step explanation:
will 3.4 is is rounded of 54256 in decamal
can anyone heelp me pls pls
Answer:
Lotion - liquid
Suspension - semisolid
Capsule - solid
Step-by-step explanation:
Lotion is a liquid that we put on our skin.
Suspension is a semisolid because it can get moved out of shape
A capsule is a solid that is a strong hard cylynder.
If this isn't right maybe flip lotion with suspension
the nth term of a sequence is n(n-8)÷√n+3
find the 1st and 6th terms
Answer:
-4 and -2✓6+3
Step-by-step explanation:
use pemdas
1(1-8)÷✓1 + 3
-7÷1+3
-4
6(6-8)÷✓6+3
-12÷✓6+3
multiply fraction by ✓6 on bottom and top to get rid of square root on bottom
-12✓6÷6+3
divide -12 by 6 and put radical next to it
-2✓6+3
840/1152 simplified please
[tex] \bf \frac{840}{1152}^{(4} = \frac{210}{288}^{(6} = \frac{35}{48}[/tex]
Hello!
[tex]\frac{840}{1152}[/tex]
Divide by 2:
[tex]\frac{420}{576}[/tex]
Divide by 2 again because the fraction is not in its simplest form:
[tex]\frac{210}{288}[/tex]
Divide by 2 again:
[tex]\frac{105}{144}[/tex]
Divide by 3:
[tex]\frac{35}{48}[/tex]
And we are done! Hope this helps!
~Just a joyful teen
[tex]SilentNature\\(GraceRosalia)[/tex]
What is the unit cost per bottle if a pack of 12 bottles of juice sells for $6? (1 point)
$0.50 per bottle
$0.72 per bottle
$5.00 per bottle
$7.20 per bottle
Step-by-step explanation:
12 bottles = $6
1 bottle = 6/12
= $0.50 per bottle.
Hope it helps :)
¿Qué es y cómo se forman un enlace químico?
