Answer:
A. 17°
Step-by-step explanation:
Recall: measure of an inscribed angle = ½(intercepted arc)
Inscribed angle = m<MTH
Intercepted arc = arc MH = 34°
Therefore,
m<MTH = ½(Arc MH)
Substitute
m<MTH = ½(34)
m<MTH = 17°
The roots of [tex]10x^2-14x+k[/tex] are sin a and cos a for some real value of a. Compute k.
Answer:
10
Step-by-step explanation:
10x²-14x+k = 0
x1 = sin a
x2= cos a
x1+x2 ≤ 2
x1. x2 ≤ 1 => k/10 ≤ 1
k ≤ 10
so the value of k should be 10
What is the value of Y if x=1
Answer:
y=6
the first equation:
3(1)+y=9
3+y=9
y=6
the second equation:
y= -4(1)+10
y= -4+10
y=6
I hope this helped! :)
Following a strategy of product differentiation, Westwood Corporation (W) makes a high-end kitchen range hood, KE8. W’s data for 2012 and 2013 follow on the next slide.In 2013, W produced no defective units and reduced direct materials usage per unit of KE8. Conversion costs in each year are tied to manufacturing capacity. Selling and customer service costs are related to the number of customers that the functions are designed to support. W has 23 customers (wholesalers) in 2012 and 25 customers in 2013.
Units of KE8 produced and sold 40,000 42,000
Selling Price $100 $110
Direct Materials (sq ft) 120,000 123,000
DM cost per sq ft $10 $11
Manufacturing capacity for KE 850,000units 50,000units
Conversion Costs $1,000,000 $1,100,000
CC per unit $20 $22
Selling & Customer Service capacity 30customers 29customers
Selling & Customer Service Costs$720,000 $725,000
Cost per customer$24,000 $25,000
Required:
(1) Describe elements you would expect to see in W’s BSC.
(2)Calculate the growth, price recovery and productivity components that explain the change in the 2012 to 2013 income. Can you use the worksheet to get the variances?(3) Suppose during 2013, the market size for high-end rangehoods grew 3% and all increases in market share are due to W’s product differentiation strategy. How much of the change in OI is due to the industry market size factor, cost leadership and product differentiation?
(4) How successful was the strategy implementation?
please answer thank you
Answer:
6.
sin 26=opposite/hypotenuse
sin26=22/x
x=22/sin26
x=50.19
x=50.2
Work out the following calculations and give your answers to the nearest 1000
a) 251 x 638
Answer:
160,000
Step-by-step explanation:
251
× 638
_______________
2008
753
+ 1506
__________________
160138
Product to the nearest thousand = 160,000
Which angle is NOT coterminal with 110 degrees
-250degrees
480degrees
-110 degrees
830 degrees
The width of rectangle is 6 fr less than the lengthThe area of the rectangle is 247f Find the lengthand with of the rectangle
Answer:
i don't know 241 I think sorry
Draw and label the circle given by the equation (x - 5 + y + 10 = 6^2
Answer:
See attachment for circle
Step-by-step explanation:
Given
[tex](x -5)^2 + (y + 10)^2 = 6^2[/tex]
Required
Draw and label the circle
The equation of a circle is:
[tex](x -a)^2 + (y - b)^2 = r^2[/tex]
Where:
[tex]Center = (a,b)[/tex]
[tex]Radius = r[/tex]
So, we have:
[tex]Center = (5,-10)[/tex]
[tex]Radius = 6[/tex]
See attachment for circle
You have land that you would like to use to create two distinct fenced-in areas in the shape given below. You have 410 meters of fencing materials to use. What values of x and y would result in the maximum area that you can enclose
Answer:
[tex]x = \frac{205}{3}[/tex]
[tex]y =\frac{195}{4}[/tex]
Step-by-step explanation:
Given
[tex]p = 410[/tex] --- perimeter
See attachment for fence
Required
x and y
The perimeter of the fence is:
[tex]p = 2(x + y +5 + y) +x[/tex]
Open bracket
[tex]p = 2x + 2y +10 + 2y +x[/tex]
Collect like terms
[tex]p = 2x+x + 2y + 2y+10[/tex]
[tex]p = 3x + 4y+10[/tex]
Substitute: [tex]p = 410[/tex]
[tex]3x + 4y+10 =410[/tex]
Make 4y the subject
[tex]4y =410-10-3x[/tex]
[tex]4y =400-3x[/tex]
Make y the subject
[tex]y =\frac{400-3x}{4}[/tex]
The area (A) of the fence is:
[tex]A = (y + y + 5) * x[/tex]
[tex]A = (2y + 5) * x[/tex]
Substitute: [tex]y =\frac{400-3x}{4}[/tex]
[tex]A = (2*\frac{400-3x}{4} + 5) * x[/tex]
[tex]A = (\frac{400-3x}{2} + 5) * x[/tex]
Take LCM
[tex]A = (\frac{400-3x+10}{2}) * x[/tex]
Solve like terms
[tex]A = (\frac{410-3x}{2}) * x[/tex]
Open bracket
[tex]A = \frac{410x-3x^2}{2}[/tex]
Remove fraction
[tex]A = 205x-1.5x^2[/tex]
Differentiate both sides
[tex]A' = 205 - 3x[/tex]
To maximize; set [tex]A' =0[/tex]
[tex]205 - 3x =0[/tex]
Solve for 3x
[tex]3x = 205[/tex]
Solve for x
[tex]x = \frac{205}{3}[/tex]
Recall that: [tex]y =\frac{400-3x}{4}[/tex]
So, we have:
[tex]y =\frac{400-3*205/3}{4}[/tex]
[tex]y =\frac{400-205}{4}[/tex]
[tex]y =\frac{195}{4}[/tex]
j-27.5=3.9 solve for the variable
Answer:
31.4
Step-by-step explanation
I think
Use the order of operations to simplify the given expression. −2⋅[16÷(8−4)2]2
2. Identify the variables that are contained in the expression.
2m2 + 3mn + 4p
Answer:
m, n and p
Step-by-step explanation:
Given
[tex]2m^2 + 3mn + 4p[/tex]
Required
List out the variables
Literally, the variables are the alphabets in the expression
And they are:
m, n and p
please help me pleaseee!!
Answer:
AOB = 65
DOE = 35
AOC = 90
EOB = 115
DOB = 80
If 4 containers of yogurt cost $2.76, how many containers of yogurt can you purchase with $9.66?
14 containers
2.76 / 4 = 0.69
9.66/0.69= 14 containers
ayudaaaaa por favor
Answer:
La respuesta es treinta coma seis.
Espero que esto ayude.
PLEASE ANSWER ASAP!!! FULL ANSWERS ONLY!!!!!! WILL GIVE BRAINLIEST!!!!!!!!!
Two cyclists, 68 miles apart, start riding toward each other at the same time. One cycles 3 miles per hour faster than the other, and they meet after 4 hours of riding.
a. Write an equation using the information as it is given above that can be solved to answer this problem. Use the variable r to represent the speed of the slower cyclist.
b. What are the speeds of the two cyclists? _______________
Answer:
4r + 4(r + 3) = 68
r = 7 miles per hour
r + 3 = 10 miles per hour
Step-by-step explanation:
distance = rate * time
a)
4r + 4(r + 3) = 68
Distribute
4r + 4r + 12 = 68
8r + 12 = 68
8r = 56
r = 7 miles per hour
r + 3 = 10 miles per hour
a) The given equation using the information as it is given above that can be solved to answer this problem is 4r + 4(r+3) = 68
b) The speed of both cyclists are 3mi/hr and 10mi/hr respectively
The formula for calculating the distance covered is expressed as:
Distance = speed * time
Let the speed covered by one cyclist be t
If one cycles 3 miles per hour faster than the other, the speed of the other will be t + 3
If both meet after 4 hours of riding, then their time will be 4 hours
Distance covered the first cyclist = 4r
Distance covered by the second = 4(r+3)
If the two cyclists are 68 miles apart, then:
4r + 4(r+3) = 68
a) The given equation using the information as it is given above that can be solved to answer this problem is 4r + 4(r+3) = 68
b) Expand the equation in a to get "r"
4r + 4r + 12 = 68
8r + 12 = 68
8r = 68 - 12
8r = 56
r = 56/8
r = 7miles per hour
Speed of the first cyclist = 7mi/hr
Speed of the second cyclist = 3 + 7mi/hr = 10mi/hr
Hence the speed of both cyclists are 3mi/hr and 10mi/hr respectively
Learn more here: https://brainly.com/question/19915685
The cost of renting a car is $55/wk plus $0.15/mi traveled during that week. An equation to represent the cost would be y = 55 + 0.15x, where x is the number of miles traveled. If your cost was $64.75, how many miles were you charged for traveling?
Answer:
65 miles
Step-by-step explanation:
y=55+0.15x
64.75=55+0.15x
9.75=0.15x
x=9.75/0.15
x=65 miles
Find the length x (plz help giving BRAINLY)
Answer:
x=3
Step-by-step explanation:
2 triangles are proportional so we have
4/6=x/4,5
--> x=(4.4,5)/6=3
You can also use sin cos but this way is faster
You have $3.40 and would like to buy some coffee. If a pound costs $8, how many ounces can you buy?
Answer:
6.8 ounces
Step-by-step explanation:
1 lb = 16 oz
3.40/8 * 16 = 6.8
PLEASEEEE HELPPP IM BEING TIMEDDD WILL GIVE BRAINLIEST AND POINTS
Choose the polynomial written in standard form.
xy2 + 4x4y + 10x2
x4y2 + 4x3y + 10x
x4y2 + 4x3y5 + 10x2
x6y2 + 4x3y8 + 10x
Answer:
Can you please organize them so that the exponents are marked as x^2?
Step-by-step explanation:
To me, none of this is in standard form because the numbers are before the variables.
I am Looking For help with applications of inductive reasoning
1=1*1
1+9=2*5
1+9+17=3*9
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{1\times1=1}\\\\\bullet\large\textsf{This statement is TRUE because anything times (or multiplied)\ by 1}\\\large\textsf{is mostly likely 1}[/tex]
[tex]\mathsf{1+9=2\times5}\\\mathsf{1+9=\bf 10}\\\mathsf{2\times5}\\\mathsf{= 5+5}\\\mathsf{= 2 + 2 + 2 + 2 + 2}\\\mathsf{= \bf 10}\\\\\\\bullet\large\textsf{This statement is also TRUE because BOTH NUMBERS are EQUIVALENT}\\\large\textsf{to EACH OTHER}[/tex]
[tex]\mathsf{1 + 9 + 17 = 9\times3}\\\\\mathsf{1+9+17}\\\mathsf{1 + 9 = \bf 10}\\\mathsf{\bold{10}+ 17}\\\mathsf{= \bf 27}\\\\\\\\\\\mathsf{9\times3}\\\mathsf{= 9+9+9}\\\mathsf{3 +3 +3 +3+ 3 +3 + 3 + 3+ 3}\\\mathsf{= \bf 27}\\\\\\\\\\\bullet\large\textsf{This statement as well is TRUE because BOTH NUMBERS are}\\\large\textsf{equivalent to each other}[/tex]
[tex]\boxed{\boxed{\large\textsf{ANSWER: All statements to these equations are \bf \huge TRUE}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Does the point (3,25) lie on the line y = 6x + 7?
Answer
YesStep-by-step explanation:
Replace x and y
[tex](3 \: \: \: 25)[/tex]
[tex]y = 6x + 7 \\ 25 = 6 \times 3 + 7 \\ 25 = 18 + 7 \\ 25 = 25[/tex]
So, the point (3,25) lie on the line y=6x+7
hope this helps you.
Have a nice day!
Solve for 2. Round to the nearest tenth, if necessary,
С
2.5
41
Answer:
3.8
Step-by-step explanation:
We can use sohcahtoa to solve this. First, we know that this triangle is a right triangle, as well as one angle and the opposite side to that angle. We are trying to find the hypotenuse.
Therefore, as sin takes opposite and hypotenuse into account, we can use that to get that sin(41°) = 2.5/x . Multiply both sides by x and divide both sides by sin(41°) to get x = 2.5/sin(41°) =3.8
The tree nearest to the classroom is 30 feet tall.
In another 10 years it will grow 5 more feet.
If the variable h stands for the height of the tree 10 years
from now,
which of the following units could apply to that variable?
A. Feet
B. Trees
C. Pounds
D. Years
Answer: Feet
Step-by-step explanation:
1. In two similar triangles, find the ratio of:
b. the perimeter, if the areas are 50cm and 16cm.
Answer:
54cm and 36cm
Step-by-step explanation:
triangle a : triangle b
50cm² : 16cm²
25 : 8
thus,
area of triangle a :
2cm×25cm
=50cm²
area of triangle b :
2cm×16cm
=32cm²
then,
perimeter of triangle a:
2cm+2cm+25cm+25cm
=54cm
perimeter of triangle b:
2cm+2cm+16cm+16cm
=36cm
Get brainiest if right?
The sum of four consecutive numbers is two more than three
times the greatest of these numbers. Find the numbers.
Answer:
1, 2, 3, 4
Step-by-step explanation:
x+(x+1)+(X+2)+(X+3)+2 = 3(X+3)
4X+8=3x+9
x=1
Answer:
5,6,7,8
Step-by-step explanation:
5+6+7+8=26
8*3=24
26-24=2
Classify each triangle as right triangle or not right triangle
Answer:
Step-by-step explanation:
pythagoras theorem
a^2+b^2=c^2
21^2+20^2=29^2
441+400=841
841=841
since the sum of square of two smaller sides is equal to the square of longest side .The given triangle can form right angle.
Lowest common multiple of 45 and 54
Answer:
270
Step-by-step explanation:
Answer:
the answer is 270
How to factorise -x^2-4x-5
Answer:
Step-by-step explanation:
Wat is the slope of the line that passes through the points 3,1) and (-2,5)
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]m=\boxed{-\frac{4}{5}}[/tex]
»»————- ★ ————-««
Here’s why:
We can use the slope formula to find the slope of the two points given.⸻⸻⸻⸻
[tex]\boxed{\text{Recall that the slope formula is:}}\\\\\frac{y_2-y_1}{x_2-x_1}\\\\(x_1,y_1), (x_2,y_2)-\text{Points}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Finding the Slope:}}\\\\\rightarrow m=\frac{5-1}{-2-3} \\\\\rightarrow m=\frac{4}{-5}\\\\\rightarrow \boxed{m= -\frac{4}{5}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
