To find the perimeter of the triangle, add the lengths of all three sides. Use the Law of Sines to calculate the lengths of the other two sides. To find the area, use the formula: Area = (1/2) * AB * AC * sin(C)
Explanation:To find the perimeter of the triangle ABC, we need to add the lengths of all three sides. Given that AB = 8, we can calculate the length of the other two sides using the Law of Sines. Since m∠A = 60° and m∠C = 45°, we have:
AC/sin(60°) = AB/sin(m∠C)
AC/sin(60°) = 8/sin(45°)
Solving for AC, we find that AC is approximately 9.66. Similarly, we can find BC using:
BC/sin(∠C) = AB/sin(∠A)
BC/sin(45°) = 8/sin(60°)
Solving for BC, we find that BC is approximately 8.62. Therefore, the perimeter of triangle ABC is:
8 + 9.66 + 8.62 = 26.28
To find the area of the triangle, we can use the formula:
Area = (1/2) * AB * AC * sin(∠C)
Area = (1/2) * 8 * 9.66 * sin(45°)
Calculating this, we find that the area of triangle ABC is approximately 30.36 square units.
What is the best way to display a set of data with a wide range, where we want to be able to find the measures of central tendency using the display?
frequency table
line plot
stem-and-leaf plot
histogram
Answer:
stem and leaf plot
Step-by-step explanation:
Final answer:
A histogram is the best choice for displaying a set of data with a wide range to find measures of central tendency, as it effectively groups continuous data into frequency bins.
Explanation:
To display a set of data with a wide range, particularly when looking to find measures of central tendency, a histogram is typically the best choice. A histogram allows you to see the data's distribution by grouping data into 'bins' of equal width. Unlike a bar graph, which is more suitable for discrete categories, a histogram's contiguous rectangles make it ideal for showing the frequency of continuous data. Each bar on the histogram represents the frequency of data within a particular interval, giving an immediate visual summary of the data. This makes it easier to estimate the measures of central tendency such as the mean, median, and mode.
A stem-and-leaf plot could also be useful for smaller data sets, as it displays all data values which assist in identifying the central tendency measures directly. However, for larger and continuous data sets, the histogram is more efficient. A frequency table is another option for displaying the frequency of data grouped into ranges, making it possible to calculate the central tendency measures.
The result of multiplying two or more numbers is a____
The answer is: Product.
The explanation for this completion exercise is shown below:
By definition, a product is the result of multiply two or more factors. For example:
[tex](6)(2)=12[/tex] (The factors are 6 (Multiplier) and 2 (Multiplicand) and the result or the product is 12).
[tex](10)(8)=80[/tex] ( (The factors are 10 (Multiplier) and 8 (Multiplicand) and the result or the product is 80).
NEED HELP IMMEDIATELY Which expression is equivalent to one over four n − 16? a. one over four(n − 4)
b. one over four(n − 64)
c. 4(n − 4)
d. 4(n − 64)
A because just multiply 1/4 by 16 and u get 4
5.6 Show your work
x 7.3
———
Hello there!
[tex]5.6*7.3[/tex]
Explanation:
↓↓↓↓↓↓↓↓
First you had to multiply without the decimal points, and then you put the decimal point it should be the correct answer.
[tex]56*73=4088[/tex]
5.6 it has one decimal place.
7.3 it has one decimal place.
Therefore, the answer should be the two decimal places.
[tex]=40.88[/tex]
Answer⇒⇒⇒⇒⇒40.88
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
Find the perimeter of the triangle.
The base is from 2 to 7, which is 5 units long.
The height is from 1 to 8, which is 7 units tall.
Using the Pythagorean theorem we can calculate the hypotenuse:
Hypotenuse = √5^2 +7^2=
√25 +49=
√74=
8.6
Perimeter = 5 + 7 + 8.6 = 20.6
The answer is C.
im confused, picture up above
Answer:
Its Option B
Step-by-step explanation:
Total Amount of Ice Cream = 2/3 cup
Ice Cream Taken = Two Scoops of 1/6 cups = 2 x 1/6 = 2/6
Ice Cream Left = Total Amount of Ice Cream - Ice Cream Taken
= 2/3 - 2/6
= 2/6
Hope That explains it!
Brainliest?
what is the decimal multiplier to increase by 3%?
The decimal multiplier to increase by 3% will be equal to 1.03.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Let the number be 100.
So, as a whole, it is 100%
Then, let's increase it by 3%,
(100 + 3)%
= 103%
So, in decimal form,
103/100 = 1.03
To know more about Percentage:
https://brainly.com/question/29306119
#SPJ2
A grocery store has 184 shelves for bottled goods. Each shelf can hold 27 bottles. How many bottles will the shelves hold in all?
Each shelve will hold 7 bottles.
they can hold 4,968 bottles
NEED ANSWER NOW PLZ WILL MARK BRAINLIEST
Why is diffusion important to cells?
A. it permits the sorting of water molecules from solute molecules, such as sugar.
B. it regulates salt content in the cell, preventing bloating and shriveling.
C. it helps maintain the balance of materials needed for survival, such as oxygen and water.
D. The back and forth movement creates extra energy as ADP is transformed into ATP.
WILL MARK BRAINLIEST
C is your answer. :)
C. it helps maintain the balance of materials needed for survival, such as oxygen and water.
Write an algebraic expression that models the situation “the piggy bank contained $25, and $1.50 is added each day.” Use d to represent the number of days
a) 25d+1.5
b) 25+1.5d
c) 25d+1.5d
d) 25+(1.5)(7)d
the answer is b because the piggy bank originally contained $25 and the person adds $1.50 per day.. so: 25+1.5d
two angles are supplementary if the sum of their measures is 180°. If one of two supplementary angles measures 85°, what is the measure of the other angle?
95° because 85 + x = 180 so you do 180 - 85 and get 95
Solve the equation using addition or subtraction.
4=q+13
A q=4
B q=17
C q=-9
D q=-2
Solve the equation using addition or subtraction.
5.5= -2+d
A d=5
B d=7.5
C d=5.5
D d=3.5
Solve the equation using multiplication or division
-7y=28
A y= -4
B y=4
C y=14
D y=35
Solve the equation using multiplication or division
-13 = m/ -5
A m=13/5
B m=45
C m=65
D m= 5/13
Answer:
1. Solve the equation using addition or subtraction.
[tex]4=q+13[/tex]
Taking like terms on one side, we get
[tex]4-13=q[/tex]
=> [tex]-9=q[/tex]
or [tex]q=-9[/tex] (option C)
2. Solve the equation using addition or subtraction.
[tex]5.5= -2+d[/tex]
Taking like terms on one side, we get
[tex]5.5+2=d[/tex]
So, [tex]d=7.5[/tex] (option B)
3. Solve the equation using multiplication or division
[tex]-7y=28[/tex]
Dividing both sides by 7, we get
[tex]-y=4[/tex]
or [tex]y=-4[/tex] (option A)
4. Solve the equation using multiplication or division
[tex]-13=\frac{m}{-5}[/tex]
Cross multiplying -13 and -5 to get the value of m
[tex]m=(-13)(-5)[/tex]
[tex]m= 65[/tex] (option C)
The solutions of the equations are =
1) C) q = -9.
2) B) d = 7.5.
3) A) y = -4.
4) C) m = 65.
Given are the equation we need to solve them,
Let's solve the equations one by one:
1) 4 = q + 13
To isolate q, we can subtract 13 from both sides of the equation:
4 - 13 = q + 13 - 13
-9 = q
Therefore, q = -9.
The correct answer is C) q = -9.
2)5.5 = -2 + d
To isolate d, we can subtract -2 from both sides of the equation:
5.5 - (-2) = -2 + d - (-2)
5.5 + 2 = d
7.5 = d
Therefore, d = 7.5.
The correct answer is B) d = 7.5.
3) -7y = 28
To solve for y, we can divide both sides of the equation by -7:
(-7y) / (-7) = 28 / (-7)
y = -4
Therefore, y = -4.
The correct answer is A) y = -4.
4) -13 = m / -5
To isolate m, we can multiply both sides of the equation by -5:
-5 x (-13) = m
65 = m
Therefore, m = 65.
The correct answer is C) m = 65.
Learn more about Equations click;
https://brainly.com/question/29538993
#SPJ6
A movie rental club charges $4.95 for membership and $18.95 for each month of subscription. If the first month were free, what would be the cost of a yearly membership?
4.95+(18.95 x 11) = $213.40 a year
There is a "buy 3 get 1 free" sign for candy bars at the store. Each candy bar cost $0.50. What os the price of 12 candy bars?
$4.50 because 3 were free wich means 9 cost money 9*0.50=4.5
The cost of 12 candy bars with a 'buy 3 get 1 free' offer is $4.50.
Explanation:To calculate the cost of 12 candy bars under the 'buy 3 get 1 free' deal, we need to divide the 12 by the group size, which is 4 (3 that you pay for + 1 that you get for free). This results in 3 groups. Since you only pay for 3 candy bars in each group, each group will cost you $0.50 x 3 = $1.50. So, the total cost for 12 candy bars is $1.50 x 3 = $4.50.
Learn more about Calculations for discounts here:https://brainly.com/question/32761587
#SPJ12
Which phrase correctly orders –23, 11, –17, and 5?
A.
–17 < –23 < 5 < 11
B.
–23 < –17 < 5 < 11
C.
5 < 11 < –17 < –23
D.
–23 < 11 < –17 < 5
PLZ HELP ASAP NEED ANSWER NOW Which factor most directly affects kinetic energy?
A mass
B density
C elasticity
D height
Mass. It and velocity affects kinetic energy.
Jones of Boston borrowed $40,000, on a 90-day 10% note. After 60 days, Jones made an initial payment of $6,000. On day 80, Jones made an additional payment of $7,000. Assuming the U.S. Rule, what's the adjusted balance of the first payment? (Use 360 days.)
Answer:
$34,666.67
Step-by-step explanation:
Step 1: Calculate the interest for 60 days.
(40000*60/360 )* 0.10 = $666.67
Step 2: Amount = Principal + Interest = $40,000 + 666.67 = $40,666.67
Step 3 : After 60 days, he paid $6000.
Remaining balance of the first payment = 40666.67 - 6000 = $34,666.67
Thank you.
A batch of cookies for 3/4 cup of flour.You want to make 1/2 of a batch.How much flour do you need?
First will make the fraction is easier by turning it into 6/8 but because we’re halving it the we only halve the numerator, so it’s 3/8.
If this can’t be understood I’d gladly help elaborate
the length of a rectangular swimming pool is triple its width the pool covers an area of 192 m squared
To find the dimensions of the rectangular swimming pool, we can use the formula for the area of a rectangle. The width is 8 meters and the length is 24 meters.
Explanation:To find the dimensions of the rectangular swimming pool, let's assume the width to be 'w' meters. According to the given information, the length of the pool is triple the width, which means the length is 3w meters. To find the area of the pool, we can use the formula: Area = Length × Width.
Given that the area of the pool is 192 m², we can substitute the values into the formula as follows:
192 = (3w) × w
192 = 3w²
Dividing both sides of the equation by 3, we get:
w² = 64
Taking the square root of both sides of the equation, we get:
w = ±8
Since the width cannot be negative, the width of the pool is 8 meters. The length of the pool can be calculated by multiplying the width by 3:
Length = 3 × 8 = 24 meters
Therefore, the dimensions of the rectangular swimming pool are 8 meters by 24 meters.
plsss answer , thank youuuu
Hi
The answer is
A) The term 8f represents the cost of f stems of flowers at $8 per stem.
Thank you.
For this case we have the following expression:
[tex]13v + 8f + 6b + 3m\\[/tex]
That represents the total cost, in dollars, of the silk floral arrangements.
The variables are the following:
v: number of vases
f: amount of stems of flowers
b: quantity of stems of wood bark
m: number of packages of marbles
Thus, 8f Represents the cost associated with the quantity of stems of flowers, where f represents that amount
Answer:
option A
The number with a prime factorization of 3^4 is _____.
I think 81 is composite and is 9 squared. 81 = 1 x 81, 3 x 27, or 9 x 9. Factors of 81: 1, 3, 9, 27, 81. Prime factorization: 81 = 3 x 3 x 3 x 3 which can also be written 3⁴. Since √81 = 9, a whole number, 81 is a perfect square. Even though it has other factors, the only multiplication fact we use is 9 x 9 = 81.
Answer:
81
Step-by-step explanation:
What’s 7.3 as a fraction
1/3
Hope it helps :PPPPPPP
Solve the equation 4c2 + 7c – 5 = 0 using the quadratic formfoula
Answer:
4c² + 7c - 5 = 0
c = (-7 ± √(7² - 4(4)(-5)))/(2(4))
= (-7 ± √(49 + 80))/8
= (-7 ± √129)/8
Final answer:
To solve the equation 4c^2 + 7c - 5 = 0, use the quadratic formula to find the roots by substituting the values of a, b, and c into the formula and solving.
Explanation:
The equation is 4c2 + 7c - 5 = 0.
Using the quadratic formula:
Identify a = 4, b = 7, and c = -5.
Substitute into the formula: c = (-b ± √(b2 - 4ac)) / 2a.
Calculate the roots by plugging in the values: c = (-7 ± √(72 - 4*4*(-5))) / 2*4.
c = 0.66
True or false? If you look a true “if then” statement, inserted a not in each clause, and reversed the clauses, the new statement would also be true.
True becauseIf you look a true “if then” statement, inserted a not in each clause, and reversed the clauses, the new statement would also be true.
Answer:
It's true
Step-by-step explanation:
Simplify -3[5 - (-8 + 6)]
First, solve the parenthesis
-8 + 6 = -2
-3[5 - (-2)]
Note that two negatives = one positive
-3[5 - (-2)] = -3[5 + 2]
Simplify. Solve the bracket
-3[5 + 2] = -3[8]
Simplify. Multiply to get the answer
-3 x 8 = -24
-24 is your answer
hope this helps
Answer:
-21
#RoadToGraduation
Step-by-step explanation:
Round the sum of 43.524 +3.004 to the nearest tenth
Answer:
46.50
I hope this helped
43.524 +3.004= 46.528
rounded you should get 46.530
sorry if i couldnt help hope i did! :)
Help me please that’s easy but....
Let's resolve the powers of 10 to make them comparable
47000
45000
5000
280000
125000
Now you can see the largest is 280000 and the smallest is 5000
Their difference is 280000 - 5000 = 275000
what is the answer 27.9+212.5
*(Step-By-Step Instructions)*=
[tex].9+.5[/tex] Add in the tenths place
[tex]7+2+1[/tex] Add in the ones place with a one from the previous step
[tex]2+1+1[/tex] Add in the tens place with a one from the previous step
*(Answer)*= 240.4
Simplify: x+2/x^2-6x-16 ÷ 1/9x
Answer:
Step-by-step explanation:
For every 50 emails that Nick sent in a month, he received 30 emails. What is the ratio in simplest form of the number of emails sent to the number of emails received by Nick that month?
The ratio of emails sent to emails received by Nick that month is 5:3 in its simplest form, determined by calculating their greatest common divisor.
Explanation:The subject of your question is ratios and it falls under the category of Mathematics.
'For every 50 emails that Nick sent in a month, he received 30 emails.' This tells us about a ratio. A ratio is a way to compare amounts of something.
The ratio in this case is the number of emails sent by Nick to the number of emails he received. We express this ratio as '50:30'.
To simplify the ratio, we find the greatest common divisor (GCD) of 50 and 30, which is 10. So, we divide both numbers by 10. Thus, our simplified ratio is 5:3.
This means Nick sent 5 emails for every 3 emails he received, in simplest terms.
Learn more about Ratios here:https://brainly.com/question/32531170
#SPJ3