There are 54.6 inches ribbon does Ken need.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
Ken is adding a ribbon border to the edge of his kite.
Here, Two aides of the kite measure 9.5 inches, while the other two sides measure 17.8.
Hence, Total length of ribbon is,
⇒ 2 × 9.5 + 2 × 17.8
⇒ 19 + 35.6
⇒ 54.6 inches
Thus, There are 54.6 inches ribbon does Ken need.
Learn more about the addition visit:
https://brainly.com/question/25421984
#SPJ3
Use the Law of Sines to find the missing side of the triangle. Find b.
Answer:
43.82 units.
Step-by-step explanation:
We have been given a triangle. We are asked to find the value of b using Law of Sines.
[tex]\frac{a}{\text{sin}(A)}=\frac{b}{\text{sin}(B)}=\frac{c}{\text{sin}(C)}[/tex], where, a, b and c are opposite sides of angles A, B and C respectively.
Upon substituting our given values in above formula, we will get:
[tex]\frac{50}{\text{sin}(58^{\circ})}=\frac{b}{\text{sin}(48^{\circ})}[/tex]
Switch sides:
[tex]\frac{b}{\text{sin}(48^{\circ})}=\frac{50}{\text{sin}(58^{\circ})}[/tex]
[tex]\frac{b}{0.743144825477}=\frac{50}{0.848048096156}[/tex]
[tex]\frac{b}{0.743144825477}*0.743144825477=\frac{50}{0.848048096156}*0.743144825477[/tex]
[tex]b=43.81501643866[/tex]
[tex]b\approx 43.82[/tex]
Therefore, the value of b is approximately 43.82 units.
Let f(x)=x^2−3x−4 .
What is the average rate of change from x = 7 to x = 10?
Enter your answer in the box.
The musical frequency of notes is decreasing between beat numbers ___ and ___
Which of the following is not an identity?
A. cos^2 x csc x - csc x = -sin x
B. sin x(cot x + tan x) = sec x
C. cos^2 x - sin^2 x = 1- 2sin^2 x
D. csc^2 x + sec^2 x = 1
***i don't really get this one :( @terenzreignz? what do u think?,
will give medal to best answer!
The given measurements may or may not determine a triangle. If not, then state that no triangle is formed. If a triangle is formed, then use the Law of Sines to solve the triangle, if it is possible, or state that the Law of Sines cannot be used.
C = 38°, a = 19, c = 10,
Answer:
No triangle is formed
Step-by-step explanation:
took test
Part A: Explain why we do not measure the rate at which water flows out through a shower head in cubic meters per second? In your explanation, use reasoning based on appropriate units to model this situation. (5 points) Part B: What are the two quantities that should be measured to find the rate at which water flows out of a shower head? Explain how the rate can be determined. (5 points)
The units to measure the rate of water flow from a shower are smaller than cubic meters per second due to the typical small value of this rate. To determine the rate, you need to know the cross-sectional area of the outlet and the water speed, multiplying the area by the speed.
Explanation:Part A: We do not measure the rate at which water flows out through a shower head in cubic meters per second because the typical rate of water flow from a shower is much smaller compared to one cubic meter per second. Using such a large unit for a typically small value would result in decimal figures that are often difficult to comprehend. For instance, a regular shower might output 0.01 cubic meters per minute, which convert to a very small number in cubic meters per second; hence cubic centimeters per second or liters per minute are more practical units.
Part B: To calculate the rate of flow from a showerhead, you need to know two quantities: the cross-sectional area of the outlet (which can be calculated if you know the diameter), and the speed at which the water is moving. The rate of flow (volume per unit time) can then be determined by multiplying the area by the speed of the water. Based on the given data from your textbook - a faucet with a 1.80-cm diameter and a speed of 0.500 m/s - the flow rate can be determined using the formula for the volume of a cylinder (Area of the base x Height), where in this case the 'height' would be the speed.
Learn more about Water Flow Rate Calculation here:https://brainly.com/question/35312130
#SPJ12
Does this set of ordered pairs represent a function? Why or why not?
{(–5, –5), (–1, –2), (0, –2), (3, 7), (8, 9)}
A. Yes, because there are two x-values that are the same.
B. No, because two of the y-values are the same.
C. Yes, because every x-value corresponds to exactly one y-value.
D. No, because one x-value corresponds to two different y-values.
Final answer:
The set of ordered pairs represents a function Yes, because every x-value corresponds to exactly one y-value(C).
Explanation:
The set of ordered pairs {(–5, –5), (–1, –2), (0, –2), (3, 7), (8, 9)} represents a function because every x-value corresponds to exactly one y-value. In a function, each input (x-value) has only one output (y-value). The set does not have two different y-values for the same x-value, so option D is incorrect. Therefore, option C is the correct answer.
(C). Yes, because every x-value corresponds to exactly one y-value.
You can see that each unique x-value corresponds to exactly one y-value, and there are no repeated x-values. Therefore, this set of ordered pairs represents a function.
Learn more about Function here:https://brainly.com/question/35114770
#SPJ2
y+15 <3 for inequality
HELP PLS
Let f(x)=2/5 x^2−2 .
The function g(x) is a vertical stretch of f(x) by a factor of 2.
What is the equation of g(x)?
Enter your answer in the box.
Answer:
We have then:
f(x) = 2/5x^2-2 The function g (x) is a vertical stretch of f(x) by a factor of 2:
g(x) = 2f (x)
g(x) = 2 (2/5x^2-2)
g(x) = 4/5 x^2-4 is a required equation.
Ellen has a $19,750 balance on a credit card with an APR of 18%. If she makes minimum monthly payments of $300, how much will it cost Ellen to repay the total amount on the credit card? $
Haruka hiked several kilometers in the morning. She only hiked 666 kilometers in the afternoon, which was 25\%25%25, percent less she had hiked in the morning.How many kilometers did Haruka hike in all?
Answer:
its 14 in all actually
Step-by-step explanation:
A cafe offers senior citizens a 15% discount off its regular price of $8.95 for the dinner buffet. How much of a discount does a senior citizen receive off of the $8.95 price?
Answer:
$1.3425
Step-by-step explanation:
The regular price of the dinner buffet is 8.95. If this has a discount of 15%, we would have to multiply the total price by 0.15 and this would give us how much of the total amount is 15% and therefore it would give us how much of a discount the senior receives off of the 8.95 price
8.95 x 0.15 = 1.3425
Therefore, a senior citizen gets $1.3425 discount.
The width of Zorn's patio is labeled in the diagram below. If the perimeter of the patio is (30x + 26) feet, what is the length of the patio?
2x^2=450
Determine which statement is true about the solutions to the equation.
The solutions are -15 and 15 and both are reasonable side lengths.
The solutions are -30 and 30 and both are reasonable side lengths.
The solutions are -30 and 30 but only 30 is a reasonable side length.
The solutions are -15 and 15, but only 15 is a reasonable side length.
Answer:
the answer is (8x+9)
Step-by-step explanation:
Shari plans to bake cherry pies and sell them for $9.50 each how much pies dose she have to sell to make $100 profit
In triangle QRS, QR is congruent to SR and RT bisects QS. What justification can you give for QRT congruent to SRT and give the Triangle Congruence Postulate that supports your reason.
Answers:
Midpoint Theorem, SSS
Given, SSS
Definition of a segment bisector; SSS
Definition of an isosceles triangle, SAS,
What is 1,400,000 multiplied by 3.5x10^5 expressed in scientific notation?
The answer is [tex]\( 4.9 \times 10^{11} \)[/tex].
To solve the given mathematical problem, we will multiply the two numbers and then express the result in scientific notation.
First, let's multiply 1,400,000 by 3.5x10^5 without converting them to scientific notation:
[tex]\[ 1,400,000 \times 3.5 \times 10^5 \][/tex]
[tex]\[ = 1400000 \times 3.5 \times 10^5 \][/tex]
[tex]\[ = 4900000 \times 10^5 \][/tex]
Now, we have the product 4900000. To express this in scientific notation, we must write it as a number between 1 and 10 multiplied by a power of 10. The number 4900000 can be written as 4.9 followed by 11 zeros, which in scientific notation is [tex]\( 4.9 \times 10^{11} \)[/tex].
Therefore, the final answer, expressed in scientific notation, is:
[tex]\[ \boxed{4.9 \times 10^{11}} \][/tex]
3 is less than or equal to x, and x is less than or equal to 9
how do i solve problem a. and problem b? (using the pythagorean theorem). a. the median to the hypotenuse. b. the altitude to the hypotenuse.
What is the 4th term in the sequence of
c(n)=-7+6(n-1)
....Please help ME!!!
A 32 ft ladder liens against a building so that the top of the ladder touches the building at a point 23 ft above the ground. To the nearest 10th of a foot how far from the bottom of the building is the bottom of the ladder
A. 27.5 ft
B. 39.4 ft
C. 22.2 ft
D. 30.1 ft
Okay so I’m thinking between C and B. I’m more so C because I did 32 as c and 23 as be so... or it could be the other way around
I just know it’s Pythagorean theorem help. Sending stars
Solve the triangle.
A = 48, a = 32, b = 27
I am completely blanking on how to do this, so if you could please do a step by step process, that would be greatly appreciated :)
Answer:
The triangle is A = 48°, a = 32, B = 38.83°, b = 27, C = 93.17° and c = 42.99
Step-by-step explanation:
We have sine rule,
[tex]\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}[/tex]
Here given A = 48°, a = 32, b = 27
Substituting
[tex]\frac{32}{sin48}=\frac{27}{sinB}=\frac{c}{sinC}\\\\sinB=0.627\\\\B=38.83^0[/tex]
We have
A + B + C = 180°
48 + 38.83 + C = 180
C = 93.17°
Using sine rule again
[tex]\frac{32}{sin48}=\frac{c}{sin93.17}\\\\c=42.99[/tex]
So the triangle is A = 48°, a = 32, B = 38.83°, b = 27, C = 93.17° and c = 42.99
If t(n) 2n+3 what is the 3rd term
For what values of x is x2 + 2x = 24 true?
–6 and –4
–4 and 6
4 and –6
6 and 4
Answer:
C. is the correct answer i took the quiz
Step-by-step explanation:
Natalie opened a bank account that earns 2.5% simple interest. If her account earned $180 over the next ten years, how much was Natalie’s initial deposit when she opened the account?
Answer: $720.
Step-by-step explanation:
The formula to find the simple interest is given by :-
[tex]I=Prt[/tex], where P is the principal amount , r is the rate of interest in decimal and t is the time in years.
Given : Rate of interest : r= 0.025
Simple interest : I= $180
Time : t=10
Let P be the Natalie’s initial deposit when she opened the account, then we have:-
[tex]180=P(0.025)(10)\\\\\Rightarrow\ P(0.25)=180\\\\\Rightarrow\ P=\dfrac{180}{0.25}=\dfrac{18000}{25}=720[/tex]
Hence, the Natalie’s initial deposit when she opened the account was $720.
Two isosceles triangles have the same base length. the legs of one of the triangles are twice as long as the legs of the other. find the lengths of the sides of the triangles of their perimeters are 23 cm and 43 cm.
Final answer:
To find the lengths of the sides of two isosceles triangles with equal bases and perimeters of 23 cm and 43 cm, we calculate based on the known relations. The smaller triangle has sides of 10 cm and 3 cm, while the larger triangle has sides of 20 cm and 3 cm.
Explanation:
The problem involves two isosceles triangles with the same base length, but the legs of one triangle are twice as long as the other. One triangle has a perimeter of 23 cm, and the other has a perimeter of 43 cm. To solve this, let's denote the common base of both triangles as b, the legs of the smaller triangle as l, and the legs of the larger triangle as 2l.
For the smaller triangle, the perimeter P is given by P = b + l + l or P = b + 2l. For the larger triangle, the perimeter P is P = b + 2l + 2l or P = b + 4l. Since the perimeters are 23 cm and 43 cm respectively, we can set up two equations: b + 2l = 23 and b + 4l = 43.
Solving these simultaneous equations, subtract the first from the second to find 2l = 20, so l = 10. Substituting l = 10 into the first equation gives us b + 20 = 23, thus b = 3.
Therefore, the sides of the smaller triangle are 10 cm (legs) and 3 cm (base), and the sides of the larger triangle are 20 cm (legs) and 3 cm (base).
An acidophilus culture containing 150 bacteria doubles in population every hour. (a) Write a function representing the bacteria population for every hour that passes. (b) Graph the function. (c) Use the graph to predict the number of bacteria after 12 hours.,
Find the value of a and b
Answer:
The value of a is 14 unit and the value of b is [tex]6\sqrt{2}[/tex] unit
EXPLANATION:
Draw a perpendicular line from vertex B to DC at E.
Labeling the diagram as shown in the attachment:
Now, as you can see from the Figure as shown in the attachment that [tex]ABDE[/tex] represents the rectangle because a rectangle is a quadrilateral with four right angles and their opposite sides would be parallel.
Therefore, we have the sides [tex]AB=DE=8[/tex] unit , and [tex]AD=BE=6[/tex] unit.
Consider the right triangle BEC
BY 45 45 90 triangle is a special type of isosceles right triangle where the two legs are congruent to one another and the non-right angles are both equal to 45 degrees.
therefore, the length of side, [tex]BE=EC=6[/tex] unit
Using trigonometric ratio; to find the value of b:
[tex]\sin \theta =\frac{perpendicular}{Hypotenuse}[/tex]
∴ using trigonometric sine ratio in triangle BEC, we have
[tex]\sin 45^{\circ} =\frac{6}{b}[/tex] or
[tex]\frac{1}{\sqrt{2} }= \frac{6}{b}[/tex]
On Simplify:
[tex]b=6\sqrt{2}[/tex] unit
and the value of a = DC = DE+EC=8+6=14 unit
Therefore, the value of a is 14 unit and b is [tex]6\sqrt{2}[/tex] unit
Which statement is true about the product of a non-zero rational number and an irrational number?
A) The product of a non-zero rational number and an irrational number is always a rational number.
B) The product of a non-zero rational number and an irrational number is never an irrational number.
C) The product of a non-zero rational number and an irrational number is sometimes a rational number.
D) The product of a non-zero rational number and an irrational number is always an irrational number.
The answer is defiantly D
Ppose you have two coins, one biased, one fair, but you don't know which coin is which. coin 1 is biased. it comes up heads with probability 2/3, while coin 2 comes up heads with probability 1/2. suppose you pick a coin at random and flip it. let ci denote the event that coin i is picked. let h and t denote the possible outcomes of the flip. given that the outcome of the flip is a head, what is p[c1|h], the probability that the biased coin is picked?
ANSWER THIS BEFORE 3 MINUTES, AND I WILL GIVE YOU BRAINIEST AND 15 POINTS!!!
PROBLEM:
In a heptagon, the degree measures of the interior angles are
x, x, x-2, x-2, x + 2, x + 2 and x + 4 degrees. What is the degree measure of the largest interior angle?
The largest interior angle of the heptagon, given the angle measures as x, x, x-2, x-2, x+2, x+2, x+4, is 132 degrees after solving for x.
The problem is to determine the degree measure of the largest interior angle in a heptagon. The degree measures of the interior angles are given as x, x, x-2, x-2, x+2, x+2, and x+4 degrees. To solve this, we first use the fact that the sum of the interior angles of a heptagon (7-sided polygon) is given by the formula (n-2) 180 degrees, where n is the number of sides. So, for a heptagon, the sum is
(7-2) 180 = 900 degrees.We then set up the equation based on the given interior angles: 3x + (2x - 4) + (2x + 4) + (x + 4) = 900. Simplifying, we get 7x + 4 = 900. Solving for x, we find x = 896/7 = 128 degrees. The largest interior angle is x + 4, which equals
128 + 4 = 132 degrees.