What is the measure of a base angle of an isosceles triangle if the measure of the vertex angle is 42 and the two congruent sides each measure 21 units?
Answer:
69 degrees
Step-by-step explanation:
Who would be interested in using inequalities? What are the benefits
and limitations of using inequalities to make decisions?
Inequalities describe a range of possible values and are useful in fields like business, economics, and physical sciences. They allow for decisions based on a range of results, like determining minimum product sales for profit. However, they don't provide specific values, which is a limitation in some contexts.
Explanation:Many people would be interested in using inequalities in a range of fields, including business, engineering, economics, physical sciences, and mathematics. The use of inequalities provides benefits when you need to understand a range of possible values rather than a specific number. This allows decisions to be made based on a range of acceptable outcomes.
For example, in a business setting, inequalities can be used to determine the minimum number of products that need to be sold to achieve a certain profit. If the goal is to earn at least $500, the inequality would be nx > 500, where n is the price per unit and x is the number of units sold.
However, inequalities have their limitations. They provide a range of answers, not specific solutions. Thus, they may not be suitable in situations where precise values are needed. They also imply that all values within the range are equally acceptable, which might not always be the case.
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Nellie is buying bird seed to put in her bird feeders. She uses about 10 pounds of bird seed each week, but has room to store any extra that she purchases.The bird seed comes in 3 different sizes as given below: 3.5 pounds for $2.52 7.5 pounds for $5.40 11 pounds for $7.92 Nellie is trying to be a smart shopper and get the best deal on the bird seed. Which size bag of bird seed should Nellie buy? a. Nellie should buy the 3.5 pound bags because they have the cheapest unit price b. Nellie should buy the 7.5 pound bags because they have the cheapest unit price c. Nellie should buy the 11 pound bags because they have the cheapest unit price. d. Nellie should buy any size she wishes because they all have the same unit price..
Given: Nellie has to buy bird seed and the prices are as follows
3.5 pounds for $2.527.5 pounds for $5.4011 pounds for $7.92To Find: which size bag should Nellie buy (which one would have the cheapest unit price)
Solution: D. Nellie should buy any size because they all have the same unit price.
Explanation:
We begin by finding the unit price, i.e., price per pound for each of the three bags.
This is done by using the Unitary Method. We must divide the price by the volume of the bag to find the price per pound.
price per unit of the smallest (3.5 pound) bag is [tex]\frac{2.52}{3.5} =0.72 $ per pound[/tex]price per unit of the medium (7.5 pound) bag is [tex]\frac{5.40}{7.5} =0.72 $ per pound[/tex]price per unit of the biggest (11 pound) bag is [tex]\frac{7.92}{11} =0.72 $ per pound[/tex]Answer:
D
Step-by-step explanation:
Nellie should buy any size she wishes because they all have the same unit price..
The length of a rectangle is three times its width. The perimeter of the rectangle is at most 112 cm.
Which inequality models the relationship between the width and the perimeter of the rectangle?
2w+2⋅(3w)≥112
2w+2⋅(3w)<112
2w+2⋅(3w)>112
2w+2⋅(3w)≤112
At east zone university (ezu) there are 724 students taking college algebra or calculus. 432 are taking college algebra, 319 are taking calculus, and 27 are taking both college algebra and calculus. how many are taking algebra but not calculus?
Answer:405
Step-by-step explanation:
Use the distributive property to remove the parentheses -5(-6u-3x+4)
Which of the following are solutions of 3(x – 4) ≤ 18 and 2(x – 1) ≥ 6
a. 9 only
b. 12 only
c. 9 and 15
d. 12 and 15
GEOMETRY! Need help with both please.
What is (1.3x10^-2)x(0.05) in scientific notation?
To multiply 1.3 x 10^-2 and 0.05 in scientific notation, convert 0.05 to 5 x 10^-2. Multiply 1.3 by 5 to get 6.5, then add the exponents to get 6.5 x 10^-4, which is the final answer in scientific notation.
Explanation:The question asks to calculate the multiplication of 1.3 x 10^-2 and 0.05 and express the result in scientific notation. To solve this arithmetic with numbers in scientific notation, you should multiply the decimal numbers and add the exponents of the ten's powers. The decimal multiplication is 1.3 multiplied by 0.05, which equals 0.065. Since 0.05 is not in scientific notation, it can be written as 5 x 10^-2 to simplify the calculation. Thus, the multiplication becomes (1.3 x 10^-2) x (5 x 10^-2). The next step is to multiply the decimal parts, 1.3 and 5, getting 6.5. The exponents of ten are then added together: -2 + (-2) = -4. The final multiplication gives us 6.5 x 10^-4. However, for true scientific notation, the leading number must be between 1 and 10, so we rewrite 6.5 as 6.5 x 10^0. The final scientific notation is therefore 6.5 x 10^-4.
A box contains 5 red marbles, 8 green marbles, 4 blue marbles, and 3 yellow marbles. if 2 marbles are randomly selected without replacement, what is the probability that a red marble is selected and then a green marble is selected?
The probability of drawing a red marble first and a green marble second (without replacement) from a box containing 5 red, 8 green, 4 blue, and 3 yellow marbles is 2/19.
Explanation:In the scenario you've described, you would first calculate the probability of selecting a red marble from the box. You have 5 red marbles and a total of 20 marbles (5+8+4+3), so the probability of drawing a red marble first is 5 out of 20, or 1/4.
When you draw a second marble without replacing the first, you have a slightly altered situation - the total number of marbles in the box now comes down to 19. We are interested in the probability of drawing a green marble now. As there are 8 green marbles, probability of drawing a green marble is 8 out of 19, or 8/19.
Probability of a red marble being picked first and then a green marble without replacement is calculated as: P(Red and then Green) = P(Red) * P(Green | Red is already picked). This equals 1/4 * 8/19 = 8/76 = 2/19.
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The community center has a pottery class each month. Each student pays $15 for the class and $27 for materials. This month the pottery class brought in a total of $714. How many students are in the class this month?
A cylindrical metal pipe has a diameter of 8.4 millimeters and a height of 10 millimeters. A hole cut out of the center has a diameter of 6 millimeters. What is the volume of metal in the pipe? Use 3.14 for π and round the answer to the nearest tenth of a cubic millimeter. mm3
Answer:
271.3 mm^3
Step-by-step explanation:
Volume of a cylinder = πr^2h
To find the answer, we need to find the difference between the large cylindrical and small cylindrical pipes.
V = π h (R^2 – r^2)
Given: h= 10, R is outer radius = 8.4/2 = 4.2, r is inner radius = 6/2 = 3
V = π (10) (4.2^2 – 3^2)
V= 3.14*10(17.64 - 9)
V = 31.4(8.64)
V = 271.3 mm^3
The volume of metal in the pipe 271.3 mm^3
Hope this will helpful.
Thank you.
The volume of the metal in the pipe is 271.3 mm³.
What is a cylinder?A cylinder is a three-dimensional shape. It is a prism with a circular base.
Volume of a cylinder = πr²h
Where:
π = 3.14 = PI
r = radius = diameter / 2
What is the volume of the metal in the pipe?The volume of the metal in the pipe = volume of the metal pipe - volume of the hole
3.14 x 10 x [(8.4/2)² - (6/2)²]
3.14 x 10 x [17.64 - 9}
3.14 x 10 x 8.64
= 271.3 mm³
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H E L P PLEASE COME ON WHY WONT ANYONE HELP
Corey deposited $1,500 in a savings account that earns simple interest at 5.75%. What is the balance in his account at the beginning of the third quarter?
A. $1,556.78
B. $1,528.13
C. $1,543.13
D. $1,612.50
Please explain your answer CLEARLY so i can use the principles for future reference. Thanks!
A maze at a county fair is made from 275 bales of hay.the maze at the state fair is made from 4 times as many bales of hay.how many bales of hay are used for the maze at the state fair?
The perimeter of an isosceles triangle is 15.6m. Find the lengths of its sides, if: The base is 3m smaller than a leg ____m, ___m, _____m
we know that
An isosceles triangle is a triangle with two equal sides and two equal angles
Let
x-------> the length of the equal sides
y-----> the length of the base
[tex]y=x-3[/tex] -----> equation A
The perimeter of an isosceles triangle is equal to
[tex]P=2x+y[/tex]
[tex]P=15.6\ m[/tex]
so
[tex]15.6=2x+y[/tex] ------> equation B
substitute equation A in equation B
[tex]15.6=2x+[x-3][/tex]
[tex]15.6=3x-3[/tex]
[tex]3x=18.6[/tex]
[tex]x=6.2\ m[/tex]
Find the value of y
[tex]y=x-3[/tex]
[tex]y=6.2-3=3.2\ m[/tex]
therefore
the answer is
The dimensions of the triangle are
[tex]leg1=6.2\ m[/tex]
[tex]leg2=6.2\ m[/tex]
[tex]base=3.2\ m[/tex]
1. State the domain of the rational function. (2 points)
f(x) = thirteen divided by quantity ten minus x.
a) All real numbers except -10 and 10
b) All real numbers except 13
c) All real numbers except 10
d) All real numbers except -13 and 13
2. State the vertical asymptote of the rational function. (2 points)
f(x) = quantity x minus six times quantity x plus six divided by quantity x squared minus nine.
a) x = 6, x = -6
b) x = 3, x = -3
c) x = -6, x = 6
d) None
3. State the horizontal asymptote of the rational function. (2 points)
f(x) = quantity x squared plus four x minus seven divided by quantity x minus seven.
a) None
b) y = -4
c) y = 7
d) y = 6
4. State the horizontal asymptote of the rational function. (2 points)
f(x) = quantity x squared plus eight x minus two divided by quantity x minus two.
a) None
b) y = 1
c) y = -8
d) y = 2
5. Give an example of a rational function that has a horizontal asymptote at y = 0 and a vertical asymptote at
x = 2 and x = 1.
f(x) = 13 / (10-x)
The only x value that would not produce a real number for f(x) is 10, since you
cannot divide a number by zero. Answer is C
2)
F(x)
=(x-6)(x+6)/(x2 - 9)
The vertical asymptotes are x=3 and x=-3. Graph the function on a graphing
calculator to observe the behavior of the function at these points. There is
both a positive and negative vertical asymptote a both x=3 and x=-3. Keep in
mind that the denominator approaches zero at these points, and thus f(x) approaches
either positive or negative infinite, depending on whether the denominator, however small, is a positive or
negative number. Answer is B) 3, -3
3)
F(x) = (x2
+ 4x-7) / (x-7)
Although there is a vertical asymptote as x=7, there is no horizontal asymptote.
This makes sense. As X gets bigger, there is nothing to hold y back from
getting greater and greater. X2 is the dominant term, and it’s only
in the numerator. A) none
4)
(x2 +
8x -2) / (x-2)
This function is very similar in structure to the previous one. Same rules
apply. Dominant term only in the numerator means no horizontal asymptote.
A)None
5)
Our
function approaches 0 as x approaches infinite, and has a vertical asymptote at
x=2 and x=1.
Here’s an easy example: 10 / ((x-2)*(x-1)). At x=2 and x=1, there is both a
positive and negative vertical asymptote. As x approaches infinite, the
numerator is dominated by the denominator, which contains x (actually x2 ),
and thus y approaches zero.
Which graph represents the solution to the system of inequalities?
x + y ≥ 4
2x + 3y < 12
A submarine is 50 meters below sea level. It goes up 15 meters, then goes down 40 meters. What is the submarine's new position relative to sea level? Write a number sentence and solve
a) -105 meters b) -75 meters c) -35 meters d) 25 meters
Please tell me how to show work also.
Select Repeating or Nonrepeating to correctly classify each decimal. 1.01011 2.23¯¯ 3.426¯ 4.321321… the minus signs mean like a line over the number
Answer:
2.23 3.426 4.32321... are repeating and 1.01011 is not repeating
The decimal 1.01011 is a non-repeating decimal. For the others, 2.23, 3.426, and 4.321321... are all repeating decimals because they have digits or group of digits that repeat indefinitely.
Explanation:In mathematics, decimals are either repeating or nonrepeating. A repeating decimal is a decimal that has a digit or group of digits that repeats infinitely. A non-repeating decimal doesn't have a pattern of digits that repeats infinitely.
The decimal 1.01011 is non-repeating because there's no group of digits that repeats infinitely. The decimal 2.23¯¯ is a repeating decimal. The notation with two bars above the 23 indicates that 23 is the repeating part. The decimal 3.426¯ is also a repeating decimal. The bar above the 6 indicates that the digit 6 repeats indefinitely. Lastly, the decimal 4.321321... is a repeating decimal where the group of digits 321 repeats infinitely.Learn more about Repeating and Non-Repeating Decimals here:
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Solve for V in V = s3 , if s = 4.
Answer:
[tex]64\ units^{3}[/tex]
Step-by-step explanation:
we have
[tex]V=s^{3}[/tex]
This is the formula to calculate the volume of a cube
where
s is the length side of the cube
In this problem we have
[tex]s=4\ units[/tex]
substitute
[tex]V=4^{3}=64\ units^{3}[/tex]
Solve the system using elimination.
x – y = –5
3x + y = 1
Answer:
(-1, 4)
Step-by-step explanation:
please mark as brainleist
If x + b > c and x > 0 have the same solutions, what is the relationship between b and c
Someone has some $1 and $5 bills in his pocket. he has a total of 15 bills worth $47. how many bills does he have
The substitution property of equality allows you to say that if 7j + 14k = 28 And j = 2 then
How are hourly and salaried gross pay calculated?
what is the simplified form of 7(5x-6)
Which of the following values would complete the ordered pair if the point is on the graph of ƒ(x) = -2x + 3?
(-1, ___)
-4
0
1
5
PLZ HELP ASAP
Expand number 520 into its corresponding exponential form
BRAINLIEST!!!!
8. Find the glide reflection image of the black triangle where the translation is (x,y) -> (x,y - 7) and the line of reflection is x = 1.
Am I correct?
Answer:
Option D is correct.
Explanation:
From the given figure,
Labelled the black triangle as A, B and C
The coordinates of triangle ABC are;
A= (2,8) , B= (2,5) and C=(6,5)
To find the glide reflection image of the triangle ABC.
Glide Reflection: It is a composition of transformations.
In glide reflection, a translation is first performed on the figure then it is reflected over a line.
Given: The rule of translation is: [tex](x,y) \rightarrow (x, y-7)[/tex] and line of reflection is x= 1.
Now, apply the rule of translation on black triangle, we get;
[tex]A (2,8) \rightarrow (2, 8-7)[/tex] = A' (2,1)
[tex]B (2,5) \rightarrow (2, 5-7)[/tex] =B' (2,-2)
[tex]C (6,5) \rightarrow (6, 5-7)[/tex] = C' (6,-2)
Next,
Apply the rule of reflection over the line x =1,
i.e, [tex](x,y) \rightarrow (-x+2, y)[/tex]
[tex]A' (2,1) \rightarrow (-2+2, 1)[/tex] =A" (0,1)
[tex]B' (2,-2) \rightarrow (-2+2, -2)[/tex] =B" (0,-2) and
[tex]C' (6,-2) \rightarrow (-6+2, -2)[/tex] =C" (-4,-2)
You can see the graph of Glide reflection as shown below in the attachment.
Erica had 6 coins in her coin collection. she goes to a coin show and buys some coins. how many dose she have now?