Answer:
b. A = 71.6°; C = 45.40°; b =15.0
Step-by-step explanation:
The missing values can be found with the help of the Law of Cosine and properties of triangles:
Side b (Law of Cosine)
[tex]b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}[/tex]
[tex]b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}[/tex]
[tex]b \approx 15.022[/tex]
Angle A (Law of Cosine)
[tex]\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}[/tex]
[tex]\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}[/tex]
[tex]\cos A = 0.315[/tex]
[tex]A= \cos^{-1} 0.315[/tex]
[tex]A \approx 71.639^{\circ}[/tex]
Angle C (Sum of internal angles in triangles)
[tex]C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}[/tex]
[tex]C = 45.361^{\circ}[/tex]
Hence, the right answer is B.
What is the value of x?
A.2
B.3
C.6
D.7
Answer:
A
Step-by-step explanation:
Given 2 secants from a point outside the circle.
Then the product of the external part and the entire secant of one secant is equal to the product of the external part and the entire secant of the other secant, that is
(x + 1)(x + 1 + 11) = (x + 4)(x + 4 + 1)
(x + 1)(x + 12) = (x + 4)(x + 5) ← expand both sides
x² + 13x + 12 = x² + 9x + 20 ← subtract x² + 9x from both sides
4x + 12 = 20 ( subtract 12 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2 → A
Dr. Barber needs to pay her employees $15.00 an hour. If she has five
technicians and they each worked 25 hours, how much money in total will Dr.
Barber pay all of the technicians?
Answer:
$1,875
Step-by-step explanation:
$15.00 per hour (multiply by hours)
per technician (multiply by technicians)
so: 15x25=375 then 375x5=1,875
Answer:
$1875
Step-by-step explanation:
First, let's find how many hours the technicians worked
She has 5 technicians, and the each worked 25 hours
We can multiply 5 and 25 to find the total number of hours
5*25=125
Now we know that the technicians worked 125 hours altogether. Now, we need to find how much money that is.
They worked 125 hours, and they are paid $15 per hour
We can multiply 125 and 15 to find the cost
125*15=1875
So, Dr. Barber will pay the technicians $1875 in total
DVD players are going out of fashion in the modern era. If 400,000 DVD players were sold this year and sales are declining at a rate of 31% per year, how many will be sold 3 years from now?
130,000
131,404
128,000
399,876
Answer:
c
Step-by-step explanation:
Answer:
399,876
Step-by-step explanation:
So, 400,000 DVD sales with a 31% decline means in the first year following, there will be a decline of 124,000 DVDs sold. So we need to take 400,000-124,000 which equals a starting point for your two is 276,000 dvds. Then, add 123,876, which gives you 399,876.
Suppose f(x) = x2. What is the graph of g(x)= 1/3f(x)
Answer:
Step-by-step explanation:
The graph of f(x) = x^2 is a parabola opening up and with vertex at (0, 0).
The graph of (1/3)f(x) is also a parabola that opens up and has vertex at (0, 0), but this new graph has been vertically compressed by a factor of 3.
The graph of g(x) = 1/3 f(x) is parabola. (as shown in the following image.)
What is the graph of a function?"The graph of a function f is the set of all points in the plane of the form (x, f(x))."
For given example,
f(x) = x²
The graph of a function f(x) would be a parabola with vertex at origin (0, 0).
And g(x) = 1/3 f(x)
⇒ g(x) = 1/3 (x²)
We know, the greater the quadratic coefficient, the narrower the parabola and the lesser the quadratic coefficient, the wider the parabola.
Since for a parabola g(x) the quadratic coefficient is 1/3.
This means the parabola g(x) is wider than the parabola f(x)
So, the graph of g(x) is the graph of f(x) scaled by 1/3 units.
The graph of g(x) is parabola (as shown in following figure)
Learn more about the graph of the function here:
https://brainly.com/question/27757761
#SPJ2
Megan has a bag containing 5 pink marbles, 3 orange marbles, 6 green marbles, and 2 yellow marbles.
Megan started to develop a probability model. Here is the sample space.
S = {P, P, P, P, P, O, O, O, G, G, G, G, G, G, Y, Y}
Part A
put in order where it would go on the table 2/16, 3/16, 5/16, 6/16
Help Megan complete the model by assigning probabilities to the four listed events. Drag each fraction to the correct probability.
Part B
Suppose Megan drew a marble 80 times. Estimate how many times she should expect to draw an orange marble. Megan would draw an orange marble ____
times.
Step-by-step explanation:
To find the probability
Total marbles = 5 + 3 + 6 + 2 = 16
P pink = 5/ 16
P orange = 3/16
P green = 6/ 16 = 3/8
P yellow = 2/16 = 1/8
Part B when we divide 80 by 16 = 5
So she drew every marble 5 times
So 3 x 5 = 15
She drew the orange marble 15 times
answer with work pls !!
If p stands for "this meal is delicious
Answer:
I don't understand.......
a pool is in the shape of a rectangular prism holds 1800 cubic feet of water. the pool is 6 feet deep and 10 feet wide. what is the length of the pool in yards
Answer:
Step-by-step explanation:
length = 1800 / 6/10 = 30 ft long = 10 yard
The three friends drove to a park that had batting cages and pitching machines that tossed the balls to the batter automatically. Rameck took his place, ready to bat. "Keep your hands together," George shouted from the other side of the fence. "Bend your knees a little," Sampson offered. "I've watched the Yankees for years," Rameck said, ignoring both of them. "Baseball is easy!” The machine pitched the first ball. Rameck swung with a powerful twist. He missed. The second ball erupted from the machine. Rameck swung again. He missed it by a mile. A third ball came. He swung and missed that one, too. The balls kept coming. Rameck kept swinging. And missing. —We Beat the Street, Sampson Davis et al, Using the drop-down menus, identify the correct sequence of events. First: Second: Third:
Answer:
first B,second A, third C on edg
Step-by-step explanation:
Answer:
answer is D
Step-by-step explanation:
Karen has a coupon for $1.52 off any
candy related item. She decides to buy
a package of 9 chocolate bars that
normally costs $10.25. If Karen uses
her coupon, what will the price per
chocolate bar be?
—
Enter
Answer:
$8.73 per package of candy bars
Step-by-step explanation:
10.25 - 1.52=
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
(4n^2 + -5n + -1) (3n^2)
Answer:
[tex]12n^4-15n^3-3n^2[/tex]
Step-by-step explanation:
The first step is to distribute the [tex]3n^2[/tex] to [tex](4n^2-5n-1)[/tex], like so:
[tex](4n^2-5n-1)[/tex][tex](3n^2)[/tex]
[tex]12n^4-15n^3-3n^2[/tex]
Math question down below
Answer:
c.
Step-by-step explanation:
10.98/2=5.49
16.19/3=5.40
21.15/4=5.29
26.85/5=5.37
Find the Surface Area of the Square Pyramid
Step 1:
Step 2:
Step 3:
Step 4: *
(20 Points)
Step-by-step explanation:
Step 1: Set up the formula for the surface area of a regular pyramid.
SA = [tex]\frac{p*h}{2} + B[/tex]
where :
SA equals the total surface area of the pyramid, p equals the perimeter of the base, h equals the slant height of the pyramidB equals the area of the base.Step 2: Plug the perimeter of the base into the formula
you can calculate the perimeter by multiplying the length of one edge by the number of edges.
Step 3: plug the value of the slant height into the formula (it is not the perpendicular height)
Step 4: find the area of the base (depend on the shape of the base)
Hope it will find you well.
What number should be added to x^2−24x in order to complete the square?
-144
-24
12
144
Answer:
x^2 - 24x + 144
Step-by-step explanation:
24/2(1)= 24/2= 12
(12)^2= 144
That’s all i need to know. Thanks!
Answer:
c = 5
Step-by-step explanation:
a^2 + b^2 = c^2
3^2 + 4^2 = c^2
9 + 16 = 25
c^2 = 25
sqrt of 25 = 5
c= 5
Answer:
c=5
Step-by-step explanation:
Please help me find MAD for this
Answer:
I know I'm 10 days late on this, but the answer is 1.5
Step-by-step explanation:
1. Add 3+7+4+2:
[tex]3+7+4+2=16[/tex]
2. Divide it by 4 because we have 4 numbers being added:
[tex]\frac{16}{4} =4[/tex]
3. Subtract 4 from all numbers:
[tex]4-3=1, 7-4=3, 4-4=0,4-2=2[/tex]
4. Add the differences:
[tex]1+3+0+2=6[/tex]
5. Divide again by 4:
[tex]\frac{6}{4} =1.5[/tex]
What is the solution to Negative 1 minus 7? A number line going from negative 10 to positive 10. –8 –6 6 8
Answer:
-8
Step-by-step explanation:
plug it into a calculator. its taking 7 away from an already negative number.
Answer:
-8 correct me if im wrong
Step-by-step explanation:
Solve for x. Describe the steps taken to find the solution.
3( 4x - 3) + 8 = 2x + 10x -1
Answer:
see below
Step-by-step explanation:
3( 4x - 3) + 8 = 2x + 10x -1
Distribute
12x - 9 +8 = 2x+10x -1
Combine like terms
12x - 1 = 12x - 1
Subtract 12x from each side
12x - 1 -12x = 12x - 1-12x
-1 = -1
This is true for all values of x
x = all real numbers
Answer:
All real numbers are solutions.
Step-by-step explanation:
3 ( 4x - 3 ) +8 = 2x + 10x - 1 Example 1:
12x - 9 + 8 = 12x - 1 3 ((4*1) -3) + 8 = (2*1) + (10*1) - 1
- 12x = -12x 3 ((4) - 3) + 8 = (2) + (10) - 1
-9 + 8 = -1 ( 12 - 9 ) + 8 = 12 - 1
-1 = -1 3 + 8 = 12 - 1
Example 2 11 = 11
3 ((4*6) - 3) + 8 = (2*6) + (10*6) - 1
3 ((24) - 3) + 8 = (12) + (60) - 1
72 - 9 + 8 = 72 - 1
72 - 1 = 72 - 1
71 = 71
What is the area of a rhombus if one diagonal is 6 centimeters and the other diagonal is 8 centimeters?
Answer:
24 cm²
Step-by-step explanation:
The area (A) is calculated as
A = [tex]\frac{1}{2}[/tex] product of the diagonals, that is
A = 0.5 × 6 × 8 = 24 cm²
PLEASE ASAP
graph
-1
Answer:
on a graph paper draw the coordinate plane and locate -1 and draw a horizontal line
Step-by-step explanation:
A spinner with 4 colors is spun for a total of 50 trials. Yellow was selected 10 times. What is the experimental probability of the spinner landing on yellow?
A. 2/25
B. 1/5
C. 1/4
D. 2/5
Answer:
b. 1/5
Step-by-step explanation:
10/50 = 1/5
Please send help I really need your help
Answer:
#4: 4 hits
Step-by-step explanation:
At first, you are given the ratio 1/37 which you can scale to 148 by dividing and multiplying both by. So you divide 148/37 to reach 4 and then multiply 4 by 1 to find out that about four hits will prbably be made.
Answer:
the answer for number four is four and number five is 39
I am not sure about number 5 plz check somebody.
Step-by-step explanation:
please help:)))))))))))))
Answer: The area is 103.5
Step-by-step explanation: The question becomes very simple once you know how to split this object into objects that you most likely know how to solve the area of. In truth, if you split the shapes in triangles and rectangles, you would find 4 rectangles and a triangles. Once you have solved the area of all of them, you would just have to add. How I solved it goes like this. I added 22.5 as the triangle, 35 as a rectangle, 2 as another rectangle, 18 as another rectangle, and 26 as the final rectangle.(take note that these numbers are the areas of the split shapes) If you added correctly, you would get 103.5
please help asap, will mark brainlest. Thanks
Answer:
2.
4x^2 + 4 - 5x + x - 2x^2 + 8
= (4x^2 - 2x^2) + (x - 5x) + (4 + 8)
= 2x^2 - 4x + 12
=> D is correct
3.
2x^2 + 6x - 7x + 8 - 3x^2 + 1
= (2x^2 - 3x^2) + (6x - 7x) + (1 + 8)
= -x^2 - x + 9
=> C is correct
4.
B is correct (4 and 3)
Hope this helps!
:)
In the diagram shown, 4 24, and 22 = 23. The sum of the measures of the four
angles is 120°. The measure of 22 is 10° less than the measure of 4. What is the
combined measure of angles 1, 2 and 3?
A. 85°
B. 95°
C. 105
D. 115°
PLS HELP THIS IS A LOT OF PIONTS SO BE FAST
Answer:
see below
Step-by-step explanation:
distance = rate * time
meters Edgar ran= e*t
meters Mathieu ran = m*t
Difference in meters per second is the difference in rates= m-e
Number of seconds = time = t
Answer:
this took like forever but there u go
Step-by-step explanation:
distance = rate * time
meters Edgar ran= e*t
meters Mathieu ran = m*t
Difference in meters per second is the difference in rates= m-e
Number of seconds = time = t
HURRY PLEASE!! WILL MARK THE BRAINLIEST
Which of the following are factors of the
polynomial?
Answer:
All of the above
Step-by-step explanation:
In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. Since, they all have a degree of 1 they are all polynomials.
WIll give brainliest help!!!
Answer:
d
Step-by-step explanation:
Answer:
C. 35
Step-by-step explanation:
7/40=x/200
200/40 x 7=35
The table shows the cost in dollars, y, for renting a pair of snow skis or renting a snowboard for x days. Which function shows the combined cost in dollars, y, for renting two pairs of snow skis and two snowboards for x days? y = 45x + 60 y = 90x + 120 y = 25x + 25 y = 20x + 35
Answer: this is the right answer y = 90x + 120
Step-by-step explanation:
325,310,289,288,285,285,285,280,273. the mean of the set is 290 pounds what is the mean absolute deviation of the data set,to the nearest whole number
Answer:
276
Step-by-step explanation:
