The interior angles of the triangle of 61°, 73°, and 46°, and the distance from James to Hadley of 15 meters gives;
Gwen to Hadley ≈ 18.24 metersGwen to James ≈ 19.94 metersHow can the distances between the students be found?The given angles are;
At James's location; 61°
At Hadley's location; 73°
At Gwen's location; 46°
The distance between James and Hadley = 15 meters
The angle facing the distance between James and Hadley is the angle at Gwen, 46°
The angle facing the distance between Gwen and James is the angle at Hadley, 73°
The angle facing the distance between Gwen and Hadley is the angle at James, 61°
The angle that faces the 15 meter length is the angle at Gwen, which is 46°
By the rule of sines, the distance from Gwen to Hadley is therefore;
[tex] \frac{15}{sin( 46 ^ \circ)} = \frac{Gwen \: to \: Hadley}{sin( 61 ^ \circ)} [/tex]
Which gives;
[tex] Gwen \: to \: Hadley= \frac{15 \times sin( 61 ^ \circ) }{sin( 46 ^ \circ)} \approx 18.24[/tex]
Gwen to Hadley ≈ 18.24 metersSimilarly, we have;
[tex] \frac{15}{sin( 46 ^ \circ} = \frac{Gwen \: to \: James}{sin( 73 ^ \circ)} [/tex]
Therefore;
[tex] Gwen \: to \: James = \frac{15 \times sin( 73 ^ \circ) }{sin(46 ^ \circ)} \approx 19.94 [/tex]
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EFG, e = 9.8 cm, f = 3 cm and ∠G=167°. Find the length of g, to the nearest 10th of a centimeter.
Answer:
Step-by-step explanation:
Answer:12.7
Step-by-step explanation:
Zoo tickets cost seven dollars a person if the zoo brought in 1302 on Friday how many people visited that
Answer:
the awnser would be. 1302÷7=186
Step-by-step explanation:
you divide.
10. A rectangle has a perimeter of 22 cm. If the length of the rectangle is 2 cm more than two times the
width, what are its dimensions?
Answer:
w = 3 cm
l = 8 cm
Step-by-step explanation:
let 'w' = width
let '2 + 2w' = length
P = 2l + 2w
22 = 2(2 + 2w) + 2w
22 = 4 + 4w + 2w
22 = 4 = 6w
18 = 6w
w = 3
length = 2 + 2(3) = 18
A. 2 sqrt 3
B. 4
C. 8
D. 4 sqrt 6
E. 12
Please help
Answer:
Option B. 4
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle θ = 60 °
Opposite (Fe) = 4√3
Adjacent (DE) = x
The value of x can be obtained by using the Tan ratio as illustrated below:
Tan θ = Opposite / Adjacent
Tan 60 = 4√3 / x
√3 = 4√3 / x
Cross multiply
√3 × x = 4√3
Divide both side by √3
x = 4√3 /√3
x = 4
Thus, the length of DE is 4
Solve the equation 2x + 4 - 9 Explain the steps
and properties you used.
Answer:
2x - 5
Step-by-step explanation:
2x + 4 - 9
the 2x gonna stay
so you take 4 - 9 = -5
so the answers gonna be 2x - 5
bc the 5 is negative so you gonna subtract
I hope you understand my english...
Is 1/3 less than or greater than 5?
Answer:
Less than
Step-by-step explanation:
not a whole #
I NEED HELP ASAP how do you solve -2x(3y +9) in the distributive property pls thank you
Answer:
-6xy-18x
Step-by-step explanation:
To solve -2x(3y+9), multiply -2x by 3y and 9.
-2x(3y)+-2x(9)Solve
-6xy-18xAnswer:
-24 i think
Step-by-step explanation:
solve the two step equation and identify the steps
2= - 7/4 + 1/4 x
Answer:
What you need to do is to solve. 2 = -7/4 + 1/4 x
You can try to have same denominator in all numbers to be able to multiply the right and left side by it and remove it
We can write it like this:
8/4 = -7/4 + 1/4 x
We multiply by four the two sides and get
8 = -7 + x
We can sum 7 to both sides
8 + 7 = x
x= 15
We can replace to see if it's correct
-7/4 + 1/4 * 15 = -7/4 + 15/4 = 8/4
Find the value of x. I WILL GIVE 60!!! POINTS ANSWER QUICK!
Answer:
120 degrees
Step-by-step explanation:
Rsm right?
8 slices of pizza and 5 sodas cost $36.50. 4 Slices of pizza and 10 sodas cost $37. How much does a slice of pizza cost? How much does a soda cost?
PLEASE HELP
Step-by-step explanation: If we use the variable p to represent our pizzas and s to represent our sodas, if our first equation states than 8 slices of pizza and 5 sodas cost $36.50, that's 8p + 5s = 3650.
Notice that I expressed cost in terms of cents so
that we can avoid having to deal with decimals.
In our second equation, 4 slices of pizza and
10 sodas cost $37, that's 4p + 10s = 3700.
Now let's rewrite our two equations on top of one another.
8p + 5s = 3650
4p + 10s = 3700
To solve this system of equations, I would use addition.
I would multiply the bottom equation by -2
to create a situation where our p's will cancel.
When we do that, we get -8p - 20s = -7400.
Now rewrite the equations once again ~
8p + 5s = 3650
-8p - 20s = -7400
Now add the equations together.
So we have -15s = -3,750.
Divide both sides by -15 and s = 250.
Remember that I expressed cost in terms of cents so
since s = 250, it really means that a soda is $2.50.
Now just plug an s back in for the s in one equation.
When we do this, we find that p = 300.
So a pizza is $3.00
Is xy= 60 a direct variation or inverse variation
Answer:
Inverse variationStep-by-step explanation:
Direct variation:
[tex]\dfrac{y}{x}=constant[/tex]
Inverse variation:
[tex]xy=constant[/tex]
We have
[tex]xy=60[/tex]
it's an inverse variation.
find the value of each variable using sine and cosine. round your answers to the nearest tenth
Answer:
x=9.5 and y=15.3
Step-by-step explanation:
to find x you do sine of 32 = x/18 because the sine is opposite/hypotenuse
you put in a calculator sine (32) x 18 and get 9.538546756
so x equals 9.538546756 but it says to round to the nearest tenth so x equals 9.5
to find y you do the cosine of 32 = y/18 because cosine is adjacent/hypotenuse
cosine of (32) x 18 = 15.26486573 so you equals 15.26486573 but since you have to round to the nearest tenth y = 15.3
The value of x is 9.54.
The value of y is 15.3.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
From the figure,
Sin 32 = x / 18
Cos 32 = y / 18
Now,
Sin 32 = 0.53
Cos 32 = 0.85
Now,
0.53 = x / 18
Multiply 18 on both sides.
x = 0.53 x 18
x = 9.54
0.85 = y / 18
Multiply 18 on both sides.
y = 0.85 x 18
y = 15.3
Thus,
The value of x is 9.54.
The value of y is 15.3.
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multiples that are shared by two or more numbers called
Answer: Common Multiples
Step-by-step explanation:
Find the length of the missing side.
13
B
A
5
A) 13.9
B
7.
© 11
D) 12
E Not enough information.
Answer:
D
Step-by-step explanation:
12 cm,
Simply use Pythagora's theorem. The square of the hypotenuse = the sum of the squares of the other two sides
So, you get the square of the missing side by subtracting 5 squared from 13 squared, which gives 144.
Square root of 144 is the length of the missing side, i.e. 12 cm.
Desmond went to a concert with his three other friends and he decided to pay for the tickets and his friends would pay him back. The total of the tickets was $108. Write and solve an equation that will find how much it is for one ticket.
Kristy ran a mile in 6.58 minutes. She ran her second mile in 7.15 minutes. What was the time difference between her first and second mile.
Answer:
17 seconds
Step-by-step explanation:
7.15 minus 6.58 is .17 or 17 seconds
Answer:
17 seconds
Step-by-step explanation:
7 minutes and 15 seconds minus 6 minutes and 58 seconds
You also have to remember that in a minute, there is 60 seconds, not 100
If sin 0 >0 and cos 0 = 0, then which of the following is
true?
Answer:
Step-by-step explanation:
There's no list but one answer would be sin O = 1.
HELP PLSSSSSSSSSSSSSSSSSSSSSSSSS
simplify:
(5x-4)+(3-4x)
Answer:
x - 1
Step-by-step explanation:
combine like terms
(5x -4x) = x
(-4 + 3) = - 1
Answer:
x - 1
Step-by-step explanation:
(5x - 4) + (3 - 4x)
5x - 4 + 3 - 4x
-4x -4x
x - 4 + 3
x - 1
8. what is the volume of these 5 objects
Answer:
1) B
Step-by-step explanation:
To get the volume of a cube, you multiply the length, width and height together. 4 x 7 x 8 = 224. 8 × 5 × 6 = 240. This means that chocolate box B has the larger volume.
it’s MATH who knows how to do this i’m down bad
Answer/Step-by-step explanation:
1. 7x + 2 = 5x + 22 (alternate interior angles are congruent)
Collect like terms
7x - 5x = -2 + 22
2x = 20
2x/2 = 20/2
x = 10
2. 13x - 6 = 10x + 24 (alternate interior angles are congruent)
Collect like terms
13x - 10x = 6 + 24
3x = 30
3x/3 = 30/3
x = 10
3. (12x + 26)° + 46° = 180° (same side interior angles are supplementary)
12x + 26 + 46 = 180
12x + 72 = 180
12x + 72 - 72 = 180 - 72
12x = 108
12x/12 = 108/12
x = 9
4. (5x + 5)° + 135° = 180° (same side interior angles are supplementary)
5x + 5 + 135 = 180
5x + 140 = 180
5x + 140 - 140 = 180 - 140
5x = 40
5x/5 = 40/5
x = 8
A train travels 150 km in the same time that a plane covers 525 km. If the speed of the plane is 20 km per hr less than 4 times
the speed of the train, find both speeds.
Answer:
Step-by-step explanation:
what is the place value of 3 in 553 049 270?
Answer:
1 million
Step-by-step explanation:
Start counting at position 0, the rightmost position has value 10⁰ = 1
The one left to that 10¹ = 10
... and so forth ...
The 6th position has value 10⁶ = 1000000, a.k.a. one million.
The place value of 3 in 553 049 270 is 1 million.
Here the number is given as 553 049 270.
We have to find the place value of 3 in given number.
What is Place value?
Place value is describe the position or place of a digit in a number.
Now,
To find the place value of 3;
Start counting at position 0, the rightmost position has value [tex]10^{0}= 1[/tex]
The position of 7, one left to 0, has value [tex]10^{1} = 10[/tex]
------ and so on.
Now, position of 3 is 6th position has value [tex]10^{6} = 1000000[/tex]
So, The place value of 3 in 553 049 270 is 1 million.
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A table is 2 feet wide. It is 6 times as long as it is wide.
Answer:
The table is 12 feet in length
Step-by-step explanation:
2 * 6 = 12
12 feet in length
The area of a rectangle is given as:
Area = Length x width
The perimeter of a rectangle is given as:
Perimeter = 2 (length + width)
The area of the table is 24 square feet.
The perimeter of the table is 28 feet.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
The perimeter of a rectangle is given as:
Perimeter = 2 (length + width)
We have,
Table:
Width = 2 feet
Length = 6 x 2 feet = 12 feet
We will assume that the table is a rectangle.
The area of the table:
= Length x width
= 12 x 2
= 24 square feet.
The perimeter of the table:
= 2 (length + width)
= 2 (12 + 2)
= 2 x 14
= 28 feet
Thus,
The area of the table is 24 square feet.
The perimeter of the table is 28 feet.
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Please help pleasseee
Step-by-step explanation:
hope this is correct.......
Answer:
M = 26
Step-by-step explanation:
4m + 3m - 5 + 3 = 180 degree
7m -2 = 180 degree
7m = 180+2
7m = 182
m = 182/7
m = 26
26 x 4 - 5 = 104 - 5 = 99
26 x 3 +3 = 78+ 3 = 81
A total of 560 tickets were sold
They were either adult or Student
tickets.
The number of Student tickets
Sold was 3 times the number of
adult tickets. How many adult
tickets sold
Answer:
Student.... 420
Adult.......140
will give brainliest IF CORRECT
What is the name of the angle
relationship?
vertical angles
supplementary angles
complementary angles
Answer:
They are supplementary angles.
Hope it will help :)
I need help with this
Answer:
I believe D
It's sheds video games in a good light!
Hope that helps!
Answer:
yeah d seems to be the most likly
Step-by-step explanation:
There are four primary strategies for determining the area of two-dimensional figures and shapes: a) counting square units, b) subdividing the shape into pieces, finding the areas of the pieces and adding the areas together, c) enclosing the shape in a rectangle, finding the area outside of the shape but inside the rectangle and subtracting, and d) using a formula. Explain each strategy. Use an example for each.
Answer:
Given below
Step-by-step explanation:
a) if we look at the picture then we can find by counting the square units. In each box there are 3.5 square units along the breadth. There are 3 square units along the length . Counting these gives (3*3.5= 10.5 ) 10.5 square units for each box. Adding the 10.5 +10.5+10.5+10.5 = 42 square units gives the area of the inner rectangle.
b) There are 4 boxes and the total area of the these boxes will be 4*10.5= 42 square units.
Area of 1 box = 3*3.5= 10.5
c) The area of the outer rectangle = 8*12= 96 square units.
The area between the two rectangles along the breadth = 3*7= 21 of one side.
The area between the two sides along the length = 6*1= 6 square units.
Subtracting 21+21+6+6= 54 from 96 gives 42 square units
d) Area= length *breadth
= 6* 7= 42 square units.
Hence by all four methods the total area remains the same.
Which figure is a pyramid? A cone. B cylinder. C rectangular prism. D pyramid.
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation: