Hi can you please help me
These questions are some teacher's hairbrained idea that we can keep the students current on algebra while learning geometry. While there are many ways to combine algebra and geometry, this way is awful.
Triangle angles add to 180 degrees. Geometry done.
Equation that models ...:
2x + 5 + 3x + 7 + 2x = 180
Solving,
7x + 12 = 180
7x = 168
x = 168/7 = 24
Answer: x=24
A=2x+5=2(24)+5= 53°
B = 3x+7 = 3(24) + 7 = 79°
C = 2x = 48°
Answer: A=53°, B=79°, C=48°
The option gpe is best when the contracted volume is below 3750037500 units (enter your response as a whole number).the option fms is best when the contracted volume is between 3750037500 and nothing units (enter your responses as whole numbers).
Answer:
Find attached missing part of the question:
The option gpe is best when the contracted volume is below 31250 units
The option fms is best when the contracted volume is between 31,250 and 230,000 units
The option DM is best when contracted volume is above 230,000 units
Step-by-step explanation:
let x represent the volume produced in each of the three options:
Total cost(TC) =fixed cost+(variable per unit*x)
for general purpose equipment:
TC=125,000+18x equation 1
for flexible manufacturing system
TC=250,000+14x equation 2
for dedicated machine
TC=480,000+13x equation 3
if we set equations 1 and 2 together
125,000+18x=250,000+14x
If we equate equations 2 and 3 together
250,000+14x=480,000+13x
14x-13x=480,000-250,000
x=230,000
18x-14x=250,000-125,000
4x=125,000
divide both sides y 4
x=125,000/4=31250
Find the measure of the reference angle for each angle. Part 3
16. θ = -15°
17. θ = 220°
Answer:
16. 15°
17. 40°
Step-by-step explanation:
Please see attached picture for full solution.
Jon collects 2,578 ounces of honey from his beehives. He will put the honey in
jars thert hold 6 ounces each. Which expression is best to estimate the number of
jars Jon can fill with honey?
Answer:
2,578 = 6X
Step-by-step explanation:
Given:
Total weight of honey collected = 2,578 ounce
Each jar hold honey = 6 ounce
Find:
Expression to estimate number of jars can fill :
Computation:
Assume ,
Total number of jars can fill = X
So,
Total weight of honey collected = Total number of jars × Each jar hold honey
2,578 = 6 × X
2,578 = 6X
Doblando un alambre de 40 cm formamos un rectángulo. Hallar la expresión algebraica que define el área del rectángulo y calcula su valor para x=4.
Answer:
[tex]A = 128\,cm^{2}[/tex]
Step-by-step explanation:
El área del rectángulo se halla a través de la siguiente fórmula: (The area of the rectangle is obtained by the following formula:)
[tex]A = (40\,cm - 2\cdot x)\cdot x[/tex]
Donde el área y [tex]x[/tex] se miden en centímetros cuadrados y centímetros, respectivamente. (Where area and [tex]x[/tex] are measured in square centimeters and centimeters, respectively)
Ahora, [tex]x[/tex] se reemplaza y se encuentra el valor numérico del área: (Now, [tex]x[/tex] is substituted and numerical value of area is finally determined:)
[tex]A = [40\,cm - 2\cdot (4\,cm)]\cdot (4\,cm)[/tex]
[tex]A = 128\,cm^{2}[/tex]
Find the next two terms of the geometric sequence 567, 189, 63 … .
Answer:
As we can observe,
F(1) = 567
F(2) = 189 = 567/3 = F(1)/3
F(3) = 63 = 189/3 = F(2)/3
=> F(4) = F(3)/3 = 63/3 = 21
Hope this helps!
:)
Answer:
21 then 7
Step-by-step explanation:
A researcher works on a study that has a population standard deviation of 0.73a sample mean of 84.5 and a sample size of 60 .What is the margin of error with a confidence level of 95%
Answer:
[tex] ME = z_{\alpha/2} \frac{\sigma}{\sqrt{n}}[/tex]
The critical value can be founded in the normal standard distribution table using the value of [tex]\alpha/2 =0.025[/tex] and we got [tex] z_{\alpha/2}=1.96[/tex]. Replacing the info given we got:
[tex] ME = 1.96 \frac{0.73}{\sqrt{60}}= 0.185[/tex]
Step-by-step explanation:
For this case we have the following info given:
[tex] \sigma = 0.73[/tex] represent the population deviation
[tex] \bar X = 84.5[/tex] represent the sample mean
[tex] n =60[/tex] represent the sample size
And we want to find the margin of error for a confidence level of 95%. So then the significance level would be [tex]\alpha=1-0.95 = 0.05[/tex] and [tex]\alpha/2 =0.025[/tex]. The margin of error is given by:
[tex] ME = z_{\alpha/2} \frac{\sigma}{\sqrt{n}}[/tex]
The critical value can be founded in the normal standard distribution table using the value of [tex]\alpha/2 =0.025[/tex] and we got [tex] z_{\alpha/2}=1.96[/tex]. Replacing the info given we got:
[tex] ME = 1.96 \frac{0.73}{\sqrt{60}}= 0.185[/tex]
The length of a poster is 15 feet how long is the poster in inches
Answer:
180 in.
Step-by-step explanation:
12 in = 1 ft
15 × 12 = 180
In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians.
What is the length of the arc?
Answer:
length of the arc = 6.28 ft
Step-by-step explanation:
[tex]r = 3 \: ft \\ central \: angle \: ( \theta) = \frac{2\pi^{c} }{3} = 120 \degree \\ \\ l = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ l = \frac{ 120 \degree}{360 \degree} \times 2 \times 3.14 \times 3\\ \\l = \frac{ 1}{3} \times 6.28 \times 3\\ \\ l = 6.28 \: ft \\ [/tex]
A can of soup has a radius of 6 inches and a height of 10 inches. How much soup can fill the can if it is filled to the top? Place your answer in terms of pi.
A can of soup is a cylinder. We want to know how much soup can fill the can, which means that we are looking for the volume.
Formula for the volume of a cylinder: V = pi x r^2 x h
V = pi x 6^2 x 10
V = pi x 36 x 10
V = 360pi inches^3
Hope this helps! :)
A restaurant sells a refillable coffee mug for $7.75. Each refill costs $3.25. Last month Keith spent $82.75 on a mug and refills. Enter an equation you can use to find the number of refills that Keith bought. Let r represent the number of refills.
Answer:
82.75 = 3.25r + 7.75
Step-by-step explanation:
$82.75 is the total money spent last month
$7.75 is the cost of a refillable mug
$3.25 is the cost for every refill
Each CD is approximately 4.72 inches in circumference and 0.05 inches in depth. There are 15 CDs in the stack. Use the Cavalieri's Principle to find the surface area of the stack of CDs
Answer:
SA = 7.08 in²
Step-by-step explanation:
We can use the following method to solve the given problem
SA = 2B + LA
Where LA
LA = 4.72* 0.05* 15= 3.54
And
C = 2πr
Where
C = 4.72in
π = 3.14
Substituting, we have
4.72 = 2*3.14*r
Making r the subject of formula
r = 0.75in
Solve for the area of CD
A = πr²
Substituting the values we have
A = 3.14 *(0.75)²
A= 1.77 in²
Solving for surface area of the stack
SA = 2(1.77) + 3.54
SA = 7.08 in²
Solve the following system of equations.Express your answer as an ordered pair in the format (a,b),with no spaces between the number or symbols 3x+4y=16 -4x-3y=-19
Answer:
(4,1)
Step-by-step explanation:
3x + 4y = 16
-4x - 3y = -19
4( 3x + 4y = 16)
3( -4x - 3y = -19)
Distribute
12x + 16y = 64
-12x - 9y = -57
Now subtract both equations
7y = 7
/7 on both sides
y = 1
Substitute y = 1 in one of the equations.
3x + 4y = 16
3x + 4(1) = 16
-4 on both sides
3x = 12
/3 on both sides
x = 4
Answer:
x = 4
y = 1
What is the difference between a rectangular prism and a triangular prism?
The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles.
A rectangular prism has two bases, while a triangular prism has one base,
A triangular prism has two bases, while a rectangular prism has one base.
A rectangular prism has two bases and three faces, while a triangular prism has two bases and four faces.
Dintro
Done
Answer:
The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles.
Step-by-step explanation:
Any prism has two bases. Since we are talking about a rectangular prism and a triangular prism both must have two bases.
For example, a square prism has two bases and they are both square.
In this case a rectangular prism has two bases that are rectangles and a triangular prism also has two bases and both bases are triangles.
Note: For the figure to have only one base it must be called a pyramid.
Thus, the answer is:
The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles
Answer:
a
Step-by-step explanation:
Which set of three angles could represent the interior angles of a triangle?
A:199, 709, 910
B:470, 120, 310
C:50°, 20° 20°
D:250, 250, 100%
Answer: B
Step-by-step explanation:
Laura drives a garbage truck that weighs 3 tons. She picked up 2 tons of recyclables. What is the total weight in pounds of the garbage truck and recyclables?
Answer:
Step-by-step explanation:
Total weight=The garbage truck weight + recyclables weight =3 tons + 2 tons = 5 tons
Answer: 5
Step-by-step explanation:
3+2=5
how do you do pythagorean
Answer:
a²+b²=c²
Step-by-step explanation:
a and b are the short legs of the triangle and c is the long edge (the hypotenuse). so if you take leg a and square it, then add it to leg b and square it then you will get the length of the hypotenuse
What is the perimiter of the rectangle? Write your answer in scientific notation.
6.2 x 10^6cm (perimiter)
Answer:
68cm
Step-by-step explanation: this is the right answer :)
Esme plans to flip a fair coin 3 times and record the results of each flip.
What is the probability that the coin lands with the heads side up on all 3 flips?
Enter your answer as a reduced fraction, using the / symbol, like this: 42/53
Answer:
ttt
htt
tht
tth
hht
thh
hth
hhh
these are the possible outcomes of the three outcomes
so probability of hhh = 1/8
The probability that the coin lands with the heads side up on all 3 flips will be 1/8.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences. Then the probability is given as,
P = (Favorable event) / (Total event)
Esme intends to record the outcomes of each flip of a fair coin as she tosses it three times. The likelihood that the coin will fall with the heads side up on all three flips is then determined to be:
P = (1/2) x (1/2) x (1/2)
P = 1/8
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ2
PLEASE PLEASE HELP ME ! 12 DAYS OF SCHOOL LIKE AND IM BEHINDDDDD
Answer:
The answer to the first one is A, the answers to the second one are 750, 250, 625, and 325, respectively.
Step-by-step explanation:
5/16 = 20/x
5x = 320
x = 64
30/80 = 3/8
10/80 = 1/8
25/80 = 5/16
15/80 = 3/16
3/8*2000 = 750
1/8*2000 = 250
5/16*2000 = 625
3/16*2000 = 325
Factor completely.
4 - 12x + 9x^2
[tex]4-12x+9x^{2} \\4-6x-6x+9x^{2} \\2(2-3x)-3x(2-3x)\\(2-3x)(2-3x)\\(2-3x)^2[/tex]
Compare the ordered pairs of the pre-image to the
image to answer these questions.
Is the dilation an enlargement or reduction?
The point of dilation is about what coordinate?
What is the scale factor?
Pre-image
Answer: Reduction
(0,0)
1/3
Step-by-step explanation:
Answer:
1-reduction
2-(0,0)
3-1/3
Step-by-step explanation:
What is t in degrees?
Answer:
100
Step-by-step explanation:
Because the 40 degree angle is an inscribed angle opposite of arc u, arc u's angle measure must be 40*2=80 degrees. Since t+u=180 degrees, t must be 100 degrees. Hope this helps!
Suppose the diameter of a circle is 6 units. What is its circumference?
If the diameter of a circle is 6 units, it's radius would be half that, that is 3 units.
Circumference = [tex]2\pi r[/tex] = 2 x 3.14 x 3 = 18.84 units
Help (>﹏<)
A refrigerator has a volume given by the trinomial y^3 - 2y^2 – 35y. What are the possible dimensions of the freezer? Use factoring. Recall that the formula for the volume of a rectangular solid is V= Iwh where V= volume, I= lenght, w= width, and h= height.
A. y, y + 5, and y - 7
B. y, y - 5, and y - 7
C. y, y + 5, and y + 7
D. y, y - 5, and y + 7
Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -36 and 2304, respectively.
Answer Choices:
A) an = 9 • 4n
B) an = 9 • (-4)n + 1
C) an = 9 • 4n - 1
D) an = 9 • (-4)n - 1
if an integer from 3 through 14 is chosen at random, what is the probability that the number chosen is NOT prime
Answer:
Step-by-step explanation:
7/12
no. of not prime number/ total no. of number
Please help me thank you
MATH WHAT IS THIS!!!
Four people need to cross a dark river at night.They have only one torch and the river is too risky to cross without the tourch. if all people cross simultanoesly then torch light wont be sufficient.Speed of each person of crossing the river is different.cross time for each person is 1 min, 2 mins, 7 mins and 10 mins. What is the shortest time needed for all four of them to cross the river ?
Answer:
17 minutes i had this same answer and question 2day, so ur lucky.
Step-by-step explanation:
The initial solution most people will think of is to use the fastest person as an usher to guide everyone across. How long would that take? 10 + 1 + 7 + 1 + 2 = 21 mins. Is that it? No. That would make this question too simple even as a warm up question.
To reduce the amount of time, we should find a way for 10 and 7 to go together. If they cross together, then we need one of them to come back to get the others. That would not be ideal. How do we get around that? Maybe we can have 1 waiting on the other side to bring the torch back. Ahaa, we are getting closer. The fastest way to get 1 across and be back is to use 2 to usher 1 across. So let's put all this together.
1 and 2 go cross
2 comes back
7 and 10 go across
1 comes back
1 and 2 go across (done)
Total time = 2 + 2 + 10 + 1 + 2 = 17 mins
Answer:
17 minutes
Step-by-step explanation:
Let A be the person who takes 1 min,
B who takes 2 mins, C who takes 7 mins and D who takes 10 mins
A and B cross the river in 2 mins, A comes back in 1 min
C and D cross the river in 10 mins, B comes back in 2 mins
A and B cross the river in 2 mins
Total time:
2 + 1 + 10 + 2 + 2 = 17 minutes
A cube has side length a.The side lengths are decreased to 30% of their original size.Write an expression in simplest form for the volume of the cube in terms of a.
Answer:
Volume V = 0.027a^3
Step-by-step explanation:
Let a represent the length of the side length of the cube.
a.The side lengths are decreased to 30% of their original size;
l = 30% of a
l = 0.3a .....1
The volume of a cube can be expressed as;
V = l × l × l
V = l^3 .......2
Where;
l = side length
Substituting the value of l into equation 2;
V = l^3 = (0.3a)^3
V = 0.027a^3
Volume V = 0.027a^3