Answer:
choice b)
h = 13
g = 18.38 or 13sqrt 2
Step-by-step explanation:
tan 45 = h/13
1 = h/13
h = 13
cos 45 = 13/g
0.7071 = 13/g
g = 18.38
2) solve for s please
Answer:
75
Step-by-step explanation:
i’ll give brainliest, just help me please : )
what is 5 yards rounded to the nearest tenth
Answer: Its just 5
Step-by-step explanation: Its always the first digit of the number.
dan buys a car for £2,200 it depreciates at a rate of 0.5% per year how much would it be worth in 6 years
Given:
The initial value of car = £2,200
Depreciation rate = 0.5%
To find:
The worth of car after 6 years.
Solution:
Exponential decay model:
[tex]y=a(1-r)^t[/tex]
Where, a is the initial value, r is the rate of depreciation and t is number of years.
Putting a=2200, r=0.005 and t=6, we get
[tex]y=2200(1-0.005)^6[/tex]
[tex]y=2200(0.995)^6[/tex]
[tex]y=2200(0.9703725)[/tex]
[tex]y=2134.8195[/tex]
[tex]y\approx 2134.82[/tex]
Therefore, the worth of the car after 6 years is £2134.82.
A stone pyramid in Egypt has a square base that measures 160 m on each side. The height is 91 m. What is
the volume of the pyramid?
Volume = (base area x heigh)/3
base area = 160m x 160m
base area = 25600 m²
Volume = (25600 m² x 91 m) / 3
Volume = 776533.333 m³
Answerthe volume is 776533.333 m³
How do the temperatures on Neptune compare to Earth's temperatures?
HELPPP PLS !!!!!!!!!!!!!!!!!!!
what is the volume of this cylinder?
Answer:
volume of a cylinder is πr²h
ie
3.14 × 7× 7 × 11
you get
1692.46
An ice cream factory makes 300 quarts of ice cream in 2 hours. How many quarts could be made in 12 hours? What was that rate per day?
Answer:
1800 in 12 hours
3600 in 24 hours
Step-by-step explanation:
300 in 2 hours
12/2 = 6 times as much in 12 hours
6(300) = 1800 in 12 hours
3600 in 24 hours
Jocelyn said that the triangle below is not a right triangle. Her work is shown below. Explain what she did wrong and show Jocelyn the correct solution.
Jocelyn said that the triangle below is not a right triangle. Her work is shown below. Explain what she did wrong, and show Jocelyn the correct solution.
SOS PLEASE HELP
Write the equation for this line
if two points pass through each other it will be function or if it doesn't pass
Answer:
If two points pass through each other it means that it is not a function. The vertical line test shown proves that fact.
Step-by-step explanation:
PLZ HELP!This is my only question left!!! plzzzzz
Answer:
12.84 degrees
Step-by-step explanation:
sin(x)=2/9
Plz Help Cuz it Worth A Hunid Points
Answer:
1. 30
2. x<-72
3. 7b=63
4. x=3.2
5. 1/10
Step-by-step explanation:
1. Substitute a for 10
2(150/10)
2*15
30
2. Think of it like a normal equation
x/4<-18
x<-18*4
x<-72
3. 7b=63
4. 2.5x=8
x=3.2
5. 1/5*1/2= 1/10
HELP
Observe the graph below.
The graph shows a ___ function that is asymptotic to ____
Answer:
The graph shows a LOGARITHMIC function that is asymptotic to X=1
Step-by-step explanation:
Need help quick Picture provided
Can someone do both plzzzz
Answer:
Answer to question 7: -2x+5y+9
Answer to question 8: 2x-6y+1
Answer:
7.) -2x + 5y + 9 ; 8.) 2x - 6y + 1
Step-by-step explanation:
7.)
7 + 2x + 5y - 4x + 2 ⇒ -2x + 5y + 9
2x - 4x ⇒ -2x
5y ⇒ 5y
7 + 2 ⇒ 9
8.)
-4y + 2x - 2y + 1 ⇒ 2x - 6y + 1
2x ⇒ 2x
-4y - 2y ⇒ -6y
1 ⇒ 1
1. What is the circumference of a tire with a diameter of 12 inches?
A36
B48
C24
D6
2. What is the radius of a circle with a diameter of 20 inches?
A10
B60
C30
D40
3. What is the circumference of a circle with a radius of 12?
A24
B72
C6
D36
4. What is the circumference of a circle with a radius of 7 feet?
A28
B42
C14
D3.5
5. What is the radius of a circle with a diameter of 36 inches?
A6
B18
C12
D16
6. What is the circumference of a circle with a diameter of 30 centimeters?
A60
B90
C50
D15
7. Is the diameter of a tire less than, greater than, or equal to its circumference?
Aequal
Bnot enough information
Cless than
Dgreater than
8. What is the diameter of a tire with a radius of 11 inches?
A22
B33
C5.5
D121
9. Your favorite CD has a radius of 9 centimeters. What is the circumference of the CD?
A18
B4.5
C27
D54
10. Which is true about the radius and diameter?
AThe radius and diameter can sometimes be equal.
BThe diameter is two times the size of the radius.
CThe diameter is half the size of the radius.
DThe radius is two times the size of the diameter.
Answer:
1) A. 36
2) A. 10
3) B. 72
4) B. 42
5) A. 6
6) B. 90
7) C. less than
8) A. 22
9) D. 54
10) B. The diameter is two times the size of the radius.
Step-by-step explanation:
1) 12 x 3.14 = 36
2) 20/2 = 10
3) 12 x 2 x 3.14 = 72
4) 7 x 2 x 3.14 = 42
5) 36/3.14 = 12/2 = 6
6) 30 x 3.14 - 90
8) 11 x 2 =22
9) 9 x 2 x 3.14 = 54
1. x-y=1
x+y=-5
2. x-4y=10
2x+y=2
3. -5x+y=0
x+y=6
4. y=6-2x
y=4
5. 2y=16
4x-y= 4
6. x=y -4
3x+y=12
7. y- 2x=-6
5x-y= 9
8. 3y+x= 2
y-x=-6
Answer:
what is the question write it in thecomments and ill answer
Answer:
1.) (y+1)+y=-5
2y=-6
y=-3
x+(-3)=-5
x=-2
plug in to check if it works
2.) 2(4y+10)+y=2
9y+20=2
9y=-18
y=-2
x-4(-2)=10
x+8=10
x=2
3.) -5(-y+6)+y=0
5y-30=0
5y=30
y=6
x+(6)=6
x=0
4.) 4=6-2x
-2=2x
x=-1
y=6-2(-1)
y=8
5.) 4x-(8)=4
4x=12
x=3
4(3)-y=4
12-y=4
-y=-8
y=8
6.) 3(y-4)+y=12
4y-12=12
4y=24
y=6
x=6-4
x=2
7.) 5x-2x-6=9
3x=15
x=5
5(5)-y=9
25-y=9
-y=-16
y=16
8.)3(x-6)+x=2
4x-18=2
4x=20
x=5
y-5=-6
y=-1
hope this helped :)) also make sure to plug the x and y back into both equations :))
Which graph has a slope of 4/5?
Answer: The second one
Step-by-step explanation:
Find the x and y intercepts
7x - y = 28
Answer:(0, -28) and (4,0)
Step-by-step explanation:
[tex]7(0)-y =28\\-y=28\\y=-28\\(0, -28)[/tex]
[tex]7x-0= 28\\x=4\\(4,0)[/tex]
through: (-3,-4) and (0,4)
Answer:
The slope = 8/3
Step-by-step explanation:
Let's find the slope between your two points.
(−3,−4);(0,4)
(x1,y1) = (−3,−4)
(x2,y2) = (0,4)
Use the slope formula:
m= y2−y1 / x2−x1
= 4 − −4 / 0 − −3
= 8/3
Answer:
m = 8/3
Graph:
hope this helps and is right :)
The total number of students in the seventh grade is 9 more than 4 times as many students as are in the art class. there are 101 students in the seventh grade. how many students are in the art class.
Answer:
There are 23 students in art class
Find the area........
Answer:
6) 121.2 sq meters
7) 40 sq ft
8) 70 sq meters
Step-by-step explanation:
#6 and 7: base x height
#8: base x height / 2
6
AXYZ will be translated so that the coordinates of X' are (5,11).
y
Y
14
13
12
X
11
10
9
8
N
7
6
5
4
3
2
1
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
What will be the coordinates of Z' ?
(5,8)
B (6,7)
© (7,6)
D (8,5)
Answer:
Isometry: An isometry is a transformation that maintains congruency. This means that the transformation does not change the figure's size or shape.
Make sure your child is familiar with the Cartesian coordinate system including the horizontal x-axis, the vertical y-axis, and the (x,y) convention used for locating points.
If you have not already done so, you may wish to review this congruency lesson with your child.
Translations
This section will help your child to translate congruent figures on a Cartesian plane. It will also introduce translation vectors which show the distance and direction of the translation.
Translations
Figure J is the pre-image. Figure S is translated.
A figure is a translation if it is moved without rotation.
Translation Vector
A Translation Vector is a vector that gives the length and direction of a particular translation. Vectors in the Cartesian plane can be written (x,y) which means a translation of x units horizontally and y units vertically.
figure being translated
Vectors translations can be written as shown in either of these two ways:
format example for writing vectors
This vector can be said to be ray AB or vector D.
You translate a figure according to the numbers indicated by the vector. So if one point on a figure has coordinates of (-3,3) and the translation vector is (-1,3), the new coordinate is (-4,6). You add or subtract according to the signs in the numbers in the vector.
Work through the two examples below with your child to see how to apply translation vectors.
square translated on cartesian grid
The red square's coordinates are:
(-4,3); (-4,8); (-9,3); (-9,8).
What are the coordinate pairs under a translation vector of (1,-1) as shown by the blue square?
The new coordinates are:
(-3,2); (-3,7); (-8,2); (-8,7).
You can see that the translation did not move the figure far because the vector translation is small.
square translated on cartesian grid
We will try a different vector translation of (3,-9) on the same red square
The new coordinates are:
(-1,-6); (-1,-1); (-6,-6); (-6,-1).
Get you child to try the next example. Do not look at the answer until he or she has tried to work it through the task.
single triangle on cartesian grid
Task: Translate ΔABC with a vector translation of (6,-2)
Steps:
Find the coordinates of Δ ABC.
Add 6 to the X coordinates and subtract 2 (or add -2) from the Y coordinates.
Plot the new coordinates on the grid.
Answer and Explanation
Coordinates of ΔABC are:
(-5,1); (-2.5,7); (0,1)
Add 6 and subtract 2
A1 = (-5 + 6, 1 - 2) = (1,-1)
B1 = (-2.5 + 6, 7 - 2) = (3.5,5)
C1 = (0 + 6, 1 - 2) = (6,-1)
Plot ΔA1B1C1
Rotations
This section will show your child how to rotate a figure about the origin on a Cartesian plane. Work through the two examples below:
Note: Make sure your child knows that the origin is the intersection of the X and Y axes; (0,0) on the Cartesian plane.
Rotation Transformation: Example 1
Look at the four triangles on the Cartesian plane below. Each one is rotated about the origin as shown in the table.
Triangle B Triangle C Triangle D
90° rotation of Triangle A about the origin 90° rotation of Triangle B about the origin 90° rotation of Triangle C about the origin
180° rotation of Triangle A about the origin 180° rotation of Triangle B about the origin
270° rotation of Triangle A about the origin
The coordinates are:
Triangle A (-2,2) (-10,2) (-6,8)
Triangle B (2,2) (2,10) (8,6)
Triangle C (2,-2) (10,-2) (6,-8)
Triangle D (-2,-2) (-2,-10) (-8,-6)
Note the pattern in the coordinates for corresponding vertices on the triangles.
Rotation Transformation: Example 2
The coordinates of Pentagon ABCDE are:
(0,4); (7,4); (9,2); (7,0); (0,0)
Pentagon ABCDE is rotated 180° about
the origin making the coordinates of
Pentagon A1B1C1D1E1:
(0,-4); (-7,-4); (-9,-2); (-7,0); (0,0)
Note how the coordinates of
corresponding vertices are opposite
integers (just the +/- sign is different).
This is always the case with 180°
rotations about the origin.
Reflections
This section will help your child to reflect a figure over an axis on a Cartesian plane
Work through the two reflection examples below.
Reflection Transformation: Example 1
The coordinates of LMNO are:
(-7,5); (0,5); (-2,1); (-5,1)
LMNO is reflected over the X-axis
making the coordinates of
L1M1N1O1:
(-7,-5); (0,-5); (-2,-1); (-5,-1)
Note how the x-coordinates remain the
same but the y-coordinates change to
their opposite integer (i.e. the sign changes).
This is always the case with reflections over the X-axis.
Step-by-step explanation:
The solution is, the coordinates of Z' will be z' = (6,7),
i.e. option B is correct.
What is transformation?A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.
here, we have,
Given that,
X' are (5,11).
now, See attachment
Required that,
The image of Z i.e. z'
From the attachment:
X =(7,11)
This implies that:
X' = ( x- 2, y)
Using the same rule for z;
z=(8,7)
z' = (8-2, 7)
z' = (6,7)
Hence, The solution is, the coordinates of Z' will be z' = (6,7),
i.e. option B is correct.
To learn more on transformation click:
brainly.com/question/20211457
#SPJ7
Bearings Problem Solving Question:
From a lighthouse two boats can be sighted. Boat 1 on a bearing of 60° at a distance of 2km and Boat 2 on a bearing of 340° at a distance of 3km.
a) If Boat 1 is in need of assistance, what bearing would Boat 2 need to travel on to reach it?
b) Assuming Boat 1 does not move, how far would Boat 2 have to travel?
9514 1404 393
Answer:
a) 123.4°
b) 3.3 km
Step-by-step explanation:
In (N, E) coordinates, Boat 1 is located relative to the lighthouse at ...
2(cos(60°), sin(60°)) = (1.0, 1.732) . . . . . km
Boat 2 is located at ...
3(cost(340°), sin(340°)) = (2.819, -1.026) . . . . . km
So, relative to Boat 2, Boat 1 is located at ...
(1, 1.732) -(2.819, -1.026) = (-1.819, 2.758) . . . . . km
This is at a bearing of ...
arctan(2.758/-1.819) = 123.4°
and a distance of ...
√(1.819² +2.758²) ≈ 3.304 . . . . . km
a) Boat 2 would need to travel on a bearing of 123.4°.
b) Boat 2 would need to travel 3.3 km.
_____
Additional comment
We use (North, East) coordinates so we don't have to do the mental gyrations necessary to translate to and from (E, N) coordinates. The latter would correctly orient a map relative to the X-Y Cartesian plane. The former are equivalent to flipping the map over and looking at it from the back side. This is a "rigid transformation", so angles and distances remain unchanged.
Determine the number of liters of a 30% saline solution and the number of liters of a 60% saline solution that are required to make 10 liters of a 50% saline solution.
Answer:
Number of liters of 30% solution = x = 3.3 liters
Number of liters of 60% solution = y
= 6.67 liters
Step-by-step explanation:
Let us represent:
Number of liters of 30% solution = x
Number of liters of 60% solution = y
Determine the number of liters of a 30% saline solution and the number of liters of a 60% saline solution that are required to make 10 liters of a 50% saline solution.
30% × x + 60% × y = 10 × 50%
0.3x + 0.6y = 5...... Equation 1
x + y = 10...... Equation 2
x = 10 - y
We substitute 10 - y for x in Equation 1
Hence
0.3(10 - y) + 0.6y = 5
3 - 0.3y + 0.6y = 5
- 0.3y + 0.6y = 5 - 3
0.3y = 2
y = 2/0.3
y = 6.67 liters
Solving for x
x = 10 - y
x = 10 - 6.67
x = 3.33 liters
Hence:
Number of liters of 30% solution = x = 3.3 liters
Number of liters of 60% solution = y
= 6.67 liters
A line's y-intercept is -9, and its slope is 1. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y=x-9
Step-by-step explanation:
2. What type of association does this
graph show?
Positive
negative
none
all of the above
Samuel invests £45 500 in an account that pays 4.5% compound interest per annum for the five years, then 3.5% . Work out how much money Samuel will have in his account in 13 years.
Answer:
$74,664.76
Step-by-step explanation:
We are to determine the future value of £45 500
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years
Future value for the first 5 years = £45 500 x (1 + 0.045)^5 = $56,701.28
Future value for the remaining 8 years = $56,701.28 x ( 1 + 0.035)^8 = $74,664.76