Answers
Answer:
(a) 6.01 (b) 57.33
Step-by-step explanation:
(a) DF² = 10² + 12² - 2 · 10 · 12 · cos(30°)
=> DF² = 244 - 240 · cos(30°)
=> DF² = 36.154
=> DF = √36.154
=> DF ≈ 6.01
(b) [tex]\frac{12.8}{sin(63)} = \frac{12.4}{sin (B)}[/tex]
=> sin (B) = sin (63) × 12.4 ÷ 12.8
=> B = sin^-1 (sin (63) × 12.4 ÷ 12.8)
=> B = 59.67355245
180 - 63 - 59.67355245 ≈ 57.33
Law of cosines & sines:
Related Questions
Plz help me. Giving branliest
Answers
Answer: im not sure about this but I’ll try
24 because if you look at the side that says 12mi And then look at the side withe the x where they are both standing which says 48 and 72 are really similar wand looks like they have the same distance so you can add 12 + 12 and is 24 miles
Step-by-step explanation:
8 On a map, a trapezoidal piece of farmland has base lengths of 1.25 inches and 1 inch, and a height of 1.1 inches. The scale on the map is 1 inch = 100 yards. What is the actual area of the farmland?
Answers
formula 3.35 times something
Select the correct answer.
What is the corresponding point on the unit circle for the given radian measure?
0 = 7pi/6
Answers
Answer:
Answer is B: (-sqrt(3/2 , -1/2)
Step-by-step explanation:
First convert radians to degrees
theta = (7pi/6)*(180/pi)
=210 degrees
Cos(210 degrees)= -sqrt3/2
Thats the x coordinate
sin(210 degrees)= -1/2
thats the y coordinate
Answer:
The corresponding point on the unit circle for the radian measure is [tex](\frac{\sqrt{3} }{2},\frac{1}{2})[/tex]
Step-by-step explanation:
What is unit circle?
A unit circle is typically drawn around the origin (0,0) of a X,Y axes with a radius of 1.
What is radian measure?
One radian is the measure of a central angle that intercepts an arc s equal in length to the radius r of the circle.
The radian measure is,
α=[tex]\frac{7\pi }{8}[/tex]
Changing to degree measure,
[tex]\frac{7\pi }{6} *\frac{180}{\pi } \\=210^{o}[/tex]
The measure on the unit circle is,
(cos [tex]\alpha[/tex] , sin [tex]\alpha[/tex])=(cos 210 , sin 210)
=[tex](\frac{\sqrt{3} }{2},\frac{1}{2})[/tex]
Option A.
To know more about unit circle, radian measure here
https://brainly.com/question/10675916
#SPJ2
y=2x+3 y=4x+7 solve by elimination
Answers
Answer:
[tex]\displaystyle [-2, -1][/tex]
Step-by-step explanation:
To use the Elimination method, you must get rid of one pair of variables, so that one side is set to zero. So, in this case, we must get rid of [tex]\displaystyle x,[/tex]therefore we will split the second equation in negative half :
[tex]\displaystyle \left \{ {{y = 2x + 3} \atop {-\frac{1}{2}[y = 4x + 7]}} \right. \\ \\ \\ \left \{ {{y = 2x + 3} \atop {-\frac{1}{2}y = -2x - 3\frac{1}{2}}} \right. \\ \\ \frac{1}{2}y = -\frac{1}{2}; -1 = y, -2 = x \\ \\ \\ \boxed{[-2, -1]}[/tex]
I am joyous to assist you at any time.
hii please help asap ill give brainliest thanks
Answers
Answer: B) established a strong, central government
Answer:
The emperor Chandragupta is established a strong, centralized government
PLS I NEED HELP
Which angle pair relationship shows that two lines are parallel?
a. Two alternate interior angles are supplementary.
b. Two vertical angles are congruent.
c. Two corresponding angles are congruent.
d. Two adjacent angles are supplementary.
Answers
Answer:
The answer is C I know that is right
Solve the following quadratic equation for all values of x in simplest form.
4(2x-3)^2 + 14 = 34
Answers
Answer:
x=3±√5/2
Step-by-step explanation:
While on an 8.0 h trip, a car traveled for 3.5 h at an average speed of 90 km/h before stopping for 1.0 h. The car then traveled for 2.0 h at an average speed of 80.0 km/h For the last 1.5 h, the car traveled at an average speed of only 70.0 km/h. What was the average speed of the car for the entire 8.0 h trip?
Answers
Answer:
72.5 km/h
Step-by-step explanation:
Multiply the km/h by how many hours your going at that speed/total number of hours on trip.
(90x(3.5/8))+(80x(2/8))+(70x(1.5/8))
39.375+20.5+13.125
72.5km/h
what would be the most appropriate domain for the functions
Answers
Answer:
Plz subscribe my Gaming channel Sameer Duos
Step-by-step explanation:
The correct answer is whole number
A collection of stamps consists of 22¢ stamps and 40¢ stamps. The number of 22¢ stamps is three more than four times the number of 40¢ stamps. The total value of the stamps is $8.34. Find the number of 22¢ stamps in the collection
Answers
Answer:
27
Step-by-step explanation:
Let :
Number of 40¢ = x
Number of 22¢ = 4x + 3
Total stamp value = $8.34 = (8.34 * 100) = 834¢
40¢x + 22¢(4x + 3) = 834¢
40x + 88x + 66 = 834
128x = 834 - 66
128x = 768
x = 768 / 128
x = 6
Number of 22¢ stamp:
4(6) + 3 = 24 + 3 = 27
Which expression is equivalent to left parenthesis 5 to the power of negative 2 end exponent right parenthesis to the power of 5 space x space 5 to the power of 4 ?
Answers
Answer:
[tex]\frac{1}{5^6}[/tex]
Step-by-step explanation:
Given the expression (5⁻²)⁵ ₓ 5⁴
According to indices
(a^m)^n = a^{mn}
(5⁻²)⁵ = (5⁻¹⁰)
(5⁻²)⁵ ₓ 5⁴
= 5⁻¹⁰ ₓ 5⁴
= 5⁻¹⁰⁺⁴
= 5⁻⁶
Hence the equivalent expression is [tex]\frac{1}{5^6}[/tex]
HELP FOR TEST PLZ
find measure of angle 1
Answers
Answer:
the answer should be 98
Step-by-step explanation:
try it
Find the value of x.
Answers
Answer: x=133
Step-by-step explanation:
This is a hexagon that has a total of 720 degrees (which you can get by the formula of degrees = (# of sides – 2) * 180).
You first add up all your side:
150+130+97+120+90 +x = 587 + x
587+x = 720
x=133
Graph each function. State the domain and range.
Answers
Answer:
Just put it in Geogebra classic. It's an app that helps very much with functions!
1cm 8cm 4cm: surface area
Answers
Answer:
Perimeter of Triangle sum of all sides.
=13 cm
Answer:
heres ur answer good luck
https://www.web-formulas.com/Math_Formulas/Geometry_Surface_of_Cube.aspx
Step-by-step explanation:
Find the output y when the input x is -4
y=?
PLZ HELP
Answers
The volume of a cube is 365cm3.
Work out the length of its side rounded to 1 DP.
Answers
Answer:
12.4
Step-by-step explanation:
rounded to 1dp
please mark as brainliest if correct
thank you
Answer:
12.4 is the answer.
Step-by-step explanation:
#CarryOnLearningHELP PLSS IM MISSING THIS ASSIGNMENT!!
Answers
Answer:
100
4
1500
22
Step-by-step explanation:
1 meter ⇒ 100 centimeters
Answer:
1 m = 100 cm
4 m = 400 cm
15 m = 1500 cm
22 m = 2200 cm
Step-by-step explanation:
Every Meter is 100 Centimeters
1. A student has a rectangular block. It is 2 cm wide, 3 cm tall, and 25 cm long. It has a
mass of 600 g. Determine the density of the block to the nearest unit.
8.9
Answers
Answer:
20 gcm^3
Step-by-step explanation:
Density = mass / volume
Volume = 3 X 2 X 25 = 30 cm
600 / 30 = 20
not 100 % sure though
do the following conditions make a unique triangle more than one triangle or no triangle possible
Answers
Answer:
No triangle possible.
Step-by-step explanation:
3 + 6 < 10 so no triangle can be drawn with these lengths.
Out of 400 people sampled, 368 had kids. Based on this, construct a 95% confidence interval for the true
population proportion of people with kids.
Give your answers as decimals, to three places
Answers
Answer:8.7
Step-by-step explanation:
The height, h, of a baseball thrown upward with an initial velocity of 10
feet per second from 6 feet above the ground is modeled by the function
h = -16x2 + 10x + 6, where x is the time in seconds. How long does it
take before the ball hits the ground?
Answers
Answer:
1 second
Step-by-step explanation:
use the general quadratic formula
Which statement is true?
Question 19 options:
A)
|–3| = 3 and –|–4| = –4
B)
|–3| = 3 and –|4| = 4
C)
–|3| = 3 and |4| = 4
D)
|–3| = 3 and |–4| = –4
Answers
Answer:
the first one is true and not sure 100% that the others are false all
Rotate 90° clockwise about the origin
E = (-3, 3)
F = (-2, -1)
D = (-2, 3)
C = (-1, 4)
Answers
Answer:
e
Step-by-step explanation:
Which of the following is a true statement about perpendicular lines?
A.
Perpendicular lines intersect to form a 45° angle.
B.
Perpendicular lines intersect at exactly one point.
C.
Perpendicular lines can also be parallel lines.
D.
Perpendicular lines intersect in at least two points.
Answers
“This is true because the slopes of the two lines are opposite-reciprocals of each other. ... “
Answer:
B.
Step-by-step explanation:
Perpendicular lines intersect at exactly one point.
(perpendicular lines form an x with right angles)
Why do equivalent ratios form a straight line when graphed?
Answers
Answer:
The y-values of equivalent ratios increase at the same rate as their x-values. The vertical distance between points is constant, and the horizontal distance between points is constant. This forms a straight line.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
edgen
which value for s will make this equation true? s(11-s)=24
answer choices:
8
4
6
5
Answers
(135). I buy 7 CDs costing £5.99. How much change do I get from £50?
Answers
Answer:
8.07, excluding taxes.
Step-by-step explanation:
7x5.99 = 41.93
50-41.93 = 8.07
41.93 - 50 = 8.07
Answer = £8.07
19. The function f(x) = 27x – 67.5 has an
* -intercept at (a,0). The function g(x) is
defined in the table below and has an
x-intercept at (b,0). How much greater is the
value of b than the value of a?
Answers
Answer:
First we have the function f(x) = 27*x - 67.5
It has an x-intercept at (a, 0)
This means that:
f(a) = 0 = 27*a - 67.5
Solving the above equation we can find the value of a.
0 = 27*a - 67.5
67.5 = 27*a
67.5/27 = a = 2.5
Now let's look at equation g(x).
It is a linear equation, remember that a linear equation can be written as:
g(x) = y = A*x + B
Where:
A is the slope, and B is the y-intercept.
If the line passes through the points (x₁, y₁) and (x₂. y₂), the slope can be written as:
A = (y₂ - y₁)/(x₂ - x₁)
In this case we can select any two points from the table, for example, I will use the second and third points:
(1, 39) and (2, 32.5)
Then the slope is:
A = (32.5 - 39)/(2 - 1) = -6.5/1 = -6.5
Then the equation is something like:
g(x) = y = -6.5*x + B
B is the y-intercept, to find this value, we can use one of the two points we used before.
For example, (1, 39) means that g(1) = 39
Then:
g(1) = -6.5*1 + B = 39
= B = 39 + 6.5 = 45.5
Then the equation for g(x) is:
g(x) = -6.5*x + 45.5
Now, we know that g(x) has an x-intercept at (b, 0)
this means that:
g(b) = 0 = -6.5*b + 45.5
6.5*b = 45.5
b = 45.5/6.5 = 7
Then the difference between b and a is:
b - a = 7 - 2.5 = 4.5
b is equal to a plus 4.5
And the ratio is:
b/a = 7/2.5 = 2.8
b is 2,8 times larger than a.
Erin is ordering a laptop computer. The computer costs $1,360.00, and there is a 6% sales tax.
What is the amount of sales tax Erin will owe for her computer?
Answers
Answer:
$81.6
Step-by-step explanation:
(1,360.00)(6%)=81.6
