Since b = c, the angles B and C also equal
so you get
180 - 45 = 135
135/2 = =67.5 for each angle
now we know 2 sides and all 3 angles, use the law of sines to find a
b/sin B = a/sin A
4/(sin 67.5) = a/(sin 45)
a = 4(sin 45)/(sin 67.5)
a^2 = (4(sin 45)/(sin 67.5))^2
a^2 = 9.37
Answer is C
if the given square is one side of a cube the volume of the cube will be the cube of the side length of the square write and evaluate an exponential expression for the volume of the cube.
P.S. the side length of said square is 8cm
solve -5x-42>-2-(x+4)
BEST ANSWER GETS BRAINLIEST PLEASE HELP
11. y - y₁ = m(x - x₁)
y - 4 = ²/₃(x - 3)
y - 4 = ²/₃x - 2
y = ²/₃x + 2
12. y - y₁ = m(x - x₁)
y - 0 = ⁻¹/₅(x - 5)
y - 0 = ⁻¹/₅x + 1
y = ⁻¹/₅x + 1
Jack earns $50 for washing cars on the weekend. He makes an average of $4.25 in tips per hour. Write the function of Joe's earnings, and solve for how much he would make after 6 hours.
Find limit as x approaches 4 of the quotient of the quantity the square root of the quantity 3 times x plus 4 minus the square root of 4 times x and the quantity x squared minus 4 times x . you must show your work or explain your work in words
20 points!
Show work please! I have no idea how to do this, haha.
Find the slope of the line whose equation is 5y = x - 3.
-3
-3/5
1/5
5
Answer:
1/5
Step-by-step explanation:
5y = x - 3
To find the slope of a line, we need to get the equation in the form y= mx+b where m is the slope and b is the y intercept
5y = x - 3
Divide each side by 5
5y/5 = x/5 - 3/5
y = 1/5 x - 3/5
The slope is 1/5 and the y intercept is -3/5
Answer:
1/5
Step-by-step explanation:
A washer and a dryer cost $600 combined. the cost of the washer is three times the cost of the dryer. what is the cost of the dryer? answer
Please Help
Simplify.
(y/4)divide(1/4)
Paula is working on her English essay. She already has 150 words written and has planned out the rest. Paula's essay must be 3,000 words in length, and she types at a rate of 38 words per minute.
Which equation represents the number of words in her essay, and how many minutes, m, will it take Paula to complete it?
a) 38m - 150 = 3,000; m = 75 minutes
b) 38m - 150 = 3,000; m = 83 minutes
c) 38m + 150 = 3,000; m = 75 minutes
d) 38m + 150 = 3,000; m = 83 minutes
The correct equation for the given scenario is 38m + 150 = 3,000. Solving this equation, we find that it will take Paula approximately 75 minutes to finish her essay.
Explanation:The question involves calculating how much time Paula needs to complete her essay based on her typing speed and desired essay length. Paula needs to write 3,000 words, but she already has 150 written. Therefore, she needs to write 3,000 - 150 = 2,850 more words. If she types at a rate of 38 words per minute, the number of minutes, represented as m, can be found using the equation 38m = 2,850. Therefore, the correct equation from the options is 38m + 150 = 3,000. Solving this equation for m gives m = 2,850 / 38 ≈ 75 minutes. Thus, option c) 38m + 150 = 3,000; m = 75 minutes is the correct answer.
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-13x<65 what is the solution to this inequality
Beau has a 30-mile commute for work each day. He drives at least an additional 225 miles every month. He needs an inequality to relate his monthly mileage, y, to the number of days he commutes, x. Which answer choice correctly describes this scenario?
A His monthly mileage is greater than the difference between 30 times the number of days and 200.
B His monthly mileage is less than the difference between 30 times the number of days and 200.
C His monthly mileage is greater than or equal to the sum of 30 times the number of days and 200.
D His monthly mileage is less than or equal to the sum of 30 times the number of days and 200.
Which of the following is the correct action to take when simplifying the expression A. add the exponents B. subtract the exponents C. multiply the exponents D. divide the exponents
Final answer:
To simplify an expression involving division of exponential terms with the same base, subtract the exponents of those terms. Numerical coefficients are divided normally while applying the subtraction rule to the exponents.
Explanation:
When simplifying the expression that involves division of exponentials, the correct action is to subtract the exponents. This rule applies when the bases of the exponential terms are the same. For example, when dividing [tex]a^m[/tex] by [tex]a^n[/tex], you would calculate a^(m-n). If we have numerical coefficients in front of the terms, we divide those normally, then apply the rule for exponents. An example is 4.5 × [tex]10^9[/tex] / [tex]10^6[/tex] = 4.5 × [tex]10^(9-6)[/tex] = 4.5 × [tex]10^3[/tex].
If Consider today’s stock listing for Enam Telecom, shown below.
52 wk High52 wk LowSymbolDiv.CloseNet Change122.8664.77ENM3.4599.144.74if the lowest price in the past year occurred 48 days ago, find the approximate average change per day since then. a. $4.74 b. $0.72 c. $0.49 d. $1.34
Answer:
Average change per day since then = $0.72
Step-by-step explanation:
Stock listing for Enam Telecom is given as
52 wk high 52 wk low Symbol Div. Close Net change
122.866 64.77 ENM 3.45 99.14 4.74
The lowest price $64.77 occurred 48 days ago.
Today's close for the stock was $99.14.
Now we have been asked to tell the approximate average change per day since then.
Therefore Average change per day = (closing value for today - closing value 48 days ago) ÷ (number of days)
Since closing value 48 days ago = 52 week low = $64.77
Now average change = [tex]\frac{(99.14-64.77)}{48}=0.72[/tex]
Therefore answer is $0.72 is the average change per day.
The approximate average change per day since the lowest price occurred is approximately $0.72, option B is correct.
To find the approximate average change per day since the lowest price occurred 48 days ago, we need to calculate the total change and divide it by the number of days.
The lowest price in the past year was 64.77, and the current price is 99.14.
The change in price is the difference between these two values:
Change = 99.14 - 64.77
= 34.37
Now, we divide the total change by the number of days:
Average Change per Day = Change / Number of Days
Average Change per Day = 34.37 / 48
Average Change per Day = 0.716
Hence, the approximate average change per day since the lowest price occurred is approximately $0.72.
Therefore, the correct option is b. $0.72.
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Reiko started a business selling home medical supplies. She spent $6500 to obtain her merchandise, and it costs her $550 per week for general expenses. She earned $900 per week in sales. What is the minimum number of weeks it will take for Reiko to make a profit? Write an inequality to model the problem.
A school choir has 36 members. There are three times as many underclassmen as seniors. How many seniors are in the choir?
What is 10 more than 451
What is 5x-y=35 in slope form
Daniel, ryan, and sam are friends. daniel is ryan's brother. ryan is sam's brother. sam is not daniel's brother. how is this possible?
So we know that the three boys are friends – Sam, Ryan and Daniel.
We also know that Daniel is Ryan’s brother and Ryan is Sam’s brother.
But the question here is why does Sam is not Daniel’s brother.
Because the answer here is Sam is a girl which makes her a sister of Daniel, not a brother.
Which statements are correct interpretations of this graph?
Select each correct answer.
1 2/3 of a page is edited per minute
3 pages are edited every 5 min
6/10 of a page is edited per minute
5 pages are edited every 3 min
How many ways are there of seating six people at a round table so that two specific people sit together?
Answer:
6 People in a round table can be seated in (6 - 1) ! ways = 120. Now we need to subtract the number of cases when one of those is sitting next to 2 of the other 5. We can consider as if 5 people are sitting in a row because it is round table.
Dylan scored a total of 48 points in first 4 games of the basketball season. Which equation can be used to find g, the average number of points he scores per game?
Answer:
[tex]g = \frac{48}{4}[/tex]
Step-by-step explanation:
[tex]Average = \frac{\text{Sum of all observations}}{\text{No. of observations}}[/tex]
[tex]Average = \frac{\text{Total score}}{\text{Total no. of games}}[/tex]
Since we are given that Dylan scored a total of 48 points in first 4 games of the basketball season.
So,[tex]Average = \frac{48}{4}[/tex]
Let the average be g
So, [tex]g = \frac{48}{4}[/tex]
Hence The equation can be used to find g, the average number of points he scores per game is [tex]g = \frac{48}{4}[/tex]
The perimeter of the triangle below is 55 units. find the value of z.
PLZ HELP SOLVE: 6b - 1 < -7 or 2b + 1 > 5
The given expressions need to be solved.
[tex]b[/tex] will include all numbers less than but not equal to [tex]0[/tex].
[tex]b[/tex] will include greater than but not equal to [tex]2[/tex].
The given expression is
[tex]6b-1<-7\\\Rightarrow 6b<-7+1\\\Rightarrow 6b<-6\\\Rightarrow b<-1[/tex]
So, [tex]b[/tex] will include all numbers less than but not equal to [tex]-1[/tex].
[tex]2b+1>5\\\Rightarrow 2b>5-1\\\Rightarrow 2b>4\\\Rightarrow b>\dfrac{4}{2}\\\Rightarrow b>2[/tex]
[tex]b[/tex] will include all numbers greater than but not equal to [tex]2[/tex]
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The set of complex numbers is closed under subtraction. true or false
The set of complex numbers is indeed closed under subtraction because the subtraction of any two complex numbers always results in another complex number.
Explanation:The set of complex numbers being closed under subtraction is indeed true. In mathematics, a set is said to be closed under a particular operation if performing that operation on members within the set always results in a member that is also within that set.
In the case of complex numbers, if we subtract one complex number from another, the result is a complex number. For example, if we have two complex numbers, (a + bi) and (c + di), and we subtract the latter from the former, the result will be a complex number (a - c) + (b - d)i.
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HELP ASAP!!!!!!!!!!!!
Which property justifies the following statement? ∠AOB ≅ ∠AOB
Transitive Property of Congruence
Reflexive Property of Congruence
Symmetric Property of Congruence
Distributive Property
Reflexive Property of Congruence justifies the following statement ∠AOB ≅ ∠AOB. Option B is correct.
What are the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
∠AOB ≅ ∠BOB
It can be obtained, only by when the angle gets reflected.
So by the reflexive Property of Congruence justified.
Thus, the reflexive Property of Congruence justifies the following statement ∠AOB ≅ ∠AOB. Option B is correct.
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Find the sum and express it in scientific notation. 0.00348 + (6.2 x 10-2)
can someone help me with a few easy math questions?
A sequence is defined by the recursive function f(n + 1) = –10f(n).
If f(1) = 1, what is f(3)?
Answer:
100
Step-by-step explanation:
On a 1616 scale drawing of a bike, one part is 3 inches long. How long will the actual bike part be?