find the measure of angle B. Show work please
Answer:
c. 54.6°
Step-by-step explanation:
The Law of Cosines can be used to find the first of the unknown angles in a triangle with only three side lengths given.
b² = a² +c² -2ac·cos(B)
Solving for B, we have ...
2ac·cos(B) = a² +c² -b²
B = arccos((a² +c² -b²)/(2ac)) = arccos((10.4² +21.9² -18²)/(2(10.4)(21.9)))
B = arccos(0.579053) ≈ 54.6° . . . . . matches choice C
Answer:
C 54.6°
Step-by-step explanation:
Using cosine law:
18² = 10.4² + 21.9² - 2(10.4)(21.9)cosB
cosB = 2029/3504
B =54.6160711
Roseanne makes 1 1/2 L of lemonade. She pours 1/4 of liter of lemonade into a thermos to take to the park. Her brother drinks 2/5 of the remaining lemonade. How much lemonade does Rosanne'a brother drinks?
The lemonade does Rosanne'a brother drinks is [tex]1\div 2[/tex] liter
The calculation is as follows:The remaining should be
[tex]= (1\ 1\div 2) -(1\div 4) \\\\= 1\ 2\div 4 -1\div 4 \\\\= 1\ 1\div 4 \ liters[/tex]
Since The brother drinks 2/5 of that,
So,
[tex]= (2\div 5)(1\ 1\div 4 L) \\\\= (2\div 5)(5\div 4 L) \\\\= 2\div 4 L \\\\= 1\div 2 L[/tex]
learn more: https://brainly.com/question/13981855?referrer=searchResults
The whole is 1,000,000 50,000 is what percent of that
SOMEONE PLEASE HELP ME ON THIS ASAP. I'LL RATE AS BRAINLIEST. PLS PLS PLS PLS
Answer:
I think the answer is city B
Step-by-step explanation:
Hope this helps
verify the property: a ×( b+c ) = ( a×b ) + ( a×c ) by taking a = 3/5 , b = -2 , c = 10/13
Answer:
This is the distributive property
Step-by-step explanation:
You use the distributive property to allocate a number outside of the parentheses to inside the parentheses.
For this example, they distributed a to both b and c making it a*b + a*c
This will result in the same answer:
3/5(-2 + 10/13) = 3/5*-2 + 3/5*10/13
3/5(-1.23..) = -6/5 + 30/65 (..= approx)
approximately- 0.74 = -0.74
Im getting it very easily now thanks to you guys please could you help me on this and how would they work it out?
Answer: 14, 16, 13,3.5, 50
Step-by-step explanation:
Basically, what you do is find half of each number in the number of customers column and yeah that's it.
Rubi tosses a quarter off the Main Street bridge into the St. John’s River. The distance, in feet, the quarter is above the water is modeled by the equation d(t) = −16t2+96t + 112, where t represents time in seconds.
Answer: a. 112 feet, b= 3 seconds, c= 256 feet, d = 6 seconds
Step-by-step explanation:
Here is the complete question:
Rubi tosses a quarter off the Main Street bridge into the St. John’s River. The distance, in feet, the quarter is above the water is modeled by the equation d(t) = −16t2+96t + 112, where t represents time in seconds.
Find the actual value(s) now to each question. Use the solution from the previous question to assist you with what you are actual solving for.
(a) From what height was the quarter tossed?
The quarter was tossed at 112 feet.
(b) How long does it take the quarter to reach its maximum height?
It will take ________ seconds for the quarter to reach its maximum height.
(c) What is the maximum height of the quarter?
The maximum height of the quarter is ________ feet.
(d) How much time does it take for the quarter to hit the water?
It will take ______ seconds for the quarter to hit the water.
a. Since the function is
d(t) = −16t² + 96t + 112,
The coin is tossed at 112 feet. This is because it is the the initial value of the function. It is the constant term and does not depend on any other variable.
b. To calculate the maximum height, we have to find vertex of the function, that has coordinates of h,k and,
h = -b/2a and k = f(h).
From the question, we are aware that,
a = -16, b = 96, c = 112
Using the values, the vertex will be:
h = -b/2a
= -96/(2 × -16)
= -96/-32
= 3
k = f(3)
= 16t² + 96t + 112
= -16(3)² + 96(3) + 112
= -144 + 288 + 112
= 256
The maximum height is therefore 256 feet, and time needed to reach the height will be 3 seconds.
c. The maximum height has been calculated and it is 256 feet.
d. The time it take for the quarter to hit the water will be:
= 3 seconds × 2 = 6 seconds
Since the maximum height took 3 seconds, it would take another 3 seconds to hit the water. This makes it 6 seconds
I have 27 apples to make a fruit salad for picnics I divide the apples equally among three bowls then I cut each apple into 8 pieces how many pieces are in each Bowl?
Answer:
72
Step-by-step explanation:
you start with 27
27 divided by three is 9
9 apples cut into 8 pieces each would be
72
log base3 27= 3 write in exponential form pls
Answer: 3^3 = 27
Step-by-step explanation:
The formula is:
[tex]log_{3} 27=3[/tex] is just [tex]a^c=b\\a=logbase\\b=number\\c=answer\\\\3^3=27[/tex]
Answer:
[tex] {3}^{3} = 27 \\ [/tex]
Step-by-step explanation:
[tex] log_{a}(c) = b[/tex]
[tex] log_{3}(27) = 3[/tex]
so,
[tex] {3}^{3} = 27[/tex]
hope this helps you
brainliest appreciated
good luck! have a nice day!
What is the median?
–63–63–70–71–71–91–74–71
Answer: The median of the date you gave would be -71. Hope that helps!
Use the graph below to answer the question that follows: what trigonometric function represents the graph?
Options
f(x)=4sin(x-pi/2)
f(x)=-4sin(x-pi/2)
f(x)=4cos(x-pi/2)
f(x)=-4cos(x-pi/2)
Answer:
Option (4)
Step-by-step explanation:
From the graph attached,
Equation of the wave function is a cosine function.
Let the graphed function is, f(x) = -Acos(bx - ∅)
Amplitude of the given function,
A = [tex]\frac{4-(-4)}{2}[/tex] = 4 units
Period = [tex]\frac{2\pi }{b}[/tex] = 2π
b = [tex]\frac{2\pi }{2\pi }[/tex] = 1
Given graph is starting from (0, 0).
Therefore, from the given graph, Phase shift of the cosine curve = ∅ = [tex]\frac{\pi }{2}[/tex]
Therefore, equation of the given cosine function will be,
f(x) = -4cos(x - [tex]\frac{\pi }{2}[/tex])
Option (4) will be the answer.
Somebody please help
Answer:
A.
Step-by-step explanation:
The volume is LWH
L = 16
W = 9
H = 12
16 * 9 * 12 = 1728
Find the surface area of the cylinder in terms of pi
Answer:
the answer is A≈1639.91
Answer:
A≈1639.91
Step-by-step explanation:
Shape: Cylinder
Solved for surface area
Radius: 9
Height: 20
Total surface area formula: =2πrh+2πr2
R is the radius
H is the height
So for this question H is 20 and R is 9in
Answer: A≈1639.91
Hope this helps.
Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36 Given ⇒ 3(x − 4) + 5x = 9x − 36 Step 1 ⇒ 3x − 12 + 5x = 9x − 36 Step 2 ⇒ 3x + 5x − 12 = 9x − 36 Step 3 ⇒ 8x − 12 = 9x − 36 Step 4 ⇒ 8x − 8x − 12 = 9x − 8x − 36 Step 5 ⇒ 0 − 12 = x − 36 Step 6 ⇒ −12 = x − 36 Step 7 ⇒ −12 + 36 = x − 36 + 36 Step 8 ⇒ 24 = x + 0 Step 9 ⇒ 24 = x Which property yields Step 1?
Answer:
Step-by-step explanation:
Distributive property
a(b - c) = ab - ac
3(x-4) = 3*x - 3*4
= 3x - 12
Can someone help me solve these
PLS ANSWER!!!!! ILL GIVE BRAINLIEST!!!
If the function m(x) has the point (1, 9) on its graph name a point that would be on the function 17n(x) + 2.
Answer: if we want to find a point of 17*m(x) + 2, one is (1, 155)
Step-by-step explanation:
I guess you want to know a point in the function
h(x) = 17*m(x) + 2
we know that m(1) = 9 (because m(x) has the point (1, 9) in it's graph)
then h(1) = 17*m(1) + 2 = 17*9 + 2 = 155
so this function has the point (1, 155)
What are the coordinates of the point on the directed line segment from (3, 3) to (7,−5) that partitions the segment into a ratio of 5 to 3
Answer:
The coordinates of the point is (5.5, -2)
Step-by-step explanation:
Okay, what we want to do here is to get the point that divides the line that joins the points (3,3) to (7,-5) in the ratio 5 to 3
Generally, given the ratio a:b and we want to divide the line joining the points (x1,y1) and (x2,y2) in that ratio, we use the condensed formula below;
Let’s call the point dividing the line in the given ratio z.
The coordinates of Z is;
{(bx1 + ax2)/(a+b), (by1 + ay2)/(a+b)}
In this question (x1,y1) = (3,3)
While (x2,y2) = (7,-5)
while a:b = 5:3
Substituting these values into the coordinate equation for point z, we have ;
{((3(3) + 5(7))/(5+3), ((3)(3) + 5(-5))/(5+3)}
= {44/8 , -16/8} = {5.5, -2}
there are 23 boys and 35 girls on the school track and field team. After q boys and (q+4) girls graduate qt the end of the year, the probability of selecting a boy at random to represent the school for an event becomes 2/5. find the value of q
Answer:
q = 8
Step-by-step explanation:
[tex]\frac{q}{q + q + 4} = \frac{2}{5} \\\frac{q}{2q + 4} = \frac{2}{5} \\\\4q + 8 = 5q\\q = 8[/tex]
The value of q is 8.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, we have,
there are 23 boys and 35 girls on the school track and field team.
After q boys and (q+4) girls graduate q the end of the year,
the probability of selecting a boy at random to represent the school for an event becomes 2/5.
now, we get,
q/(q+q+4)=2/5
solving we get,
4q+8 = 5q
i.e. q=8
Hence, the value of q is 8.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ2
A class of 25 students was asked what their favorite season was. 12 students said
Fall. 18 students said Summer. 10 students said both Fall and Summer. How many
students said only Fall? Draw a Venn Diagram before you answer this!!! *
Answer:
2 students said only fall
Step-by-step explanation:
Given:
Total number of students = 25
Number of students who like fall season (F) = 12
Number of students who like summer season (S) = 18
Number of students who like both fall and summer season [tex]\left ( F\cap S \right )[/tex] = 10
To find:
Number of students who like only fall season
Solution:
A set is a well defined collection of objects. A universal set is the set of which all other sets are subsets. It is denoted by U.
According to the venn diagram,
n(only F) = [tex]=n(F)-n\left ( F\cap S \right )[/tex]
[tex]=12-10=2[/tex]
So, 2 students said only fall.
(Easy) Are these ratios equivalent?
23 staff members to 1 camper
35 staff members to 2 campers
Answer:
no
Step-by-step explanation:
2 does not go into 35 but one goes into anything
hope this helps :)
Simplify. Remove all perfect square root of, 98, end square root, equals
Answer:
[tex]7\sqrt{2}[/tex]
Step-by-step explanation:
98=49x2
7x7=49
98=[tex]7\sqrt{2}[/tex]
Archie builds a pool in his backyard. The pool measures 16 yards long, 6 yards wide and 2 yards deep. How many gallons of water will it take to fill the pool to the brim? (1 cubic yard = 202 gallons).
Answer:
gallons of water = 38784 gallons
Step-by-step explanation:
He builds a pool in his backyard .The pool measures 16 yards long, 6 yards wide and 2 yards deep. The pool is a rectangular prism. The number of gallons it can take to fill the pool can be calculated when we know the volume of the pool. Therefore,
volume of the pool = length × width × height
volume = lwh
l = 16 yards
w = 6 yards
h = 2 yards
volume = 16 × 6 × 2
volume = 192 yards³
1 cubic yards = 202 gallons
192 cubic yards = ? gallons
cross multiply
gallons of water = 192 × 202
gallons of water = 38784 gallons
Is ABC~DEF? If /so, identify the similarity postulate or the theorem that applies, A. similar- AA B. similar-SSS C. similar- SAS D. cannot be determined
Answer: Similar - AA
Just took the quiz, Its Similar AA not sure why just trust me homie
The two triangles are similar triangles by AA similarity theorem (Option A).
What is the Angle-angle Similarity Theorem (AA)?The AA similarity theorem proves that if two triangles have two pairs of angles that are congruent, then they are similar triangles.
The two triangles shown in the figure have two pairs of corresponding angles that are congruent to each other, therefore, they are similar triangles by AA similarity theorem (Option A).
Learn more about AA similarity theorem on:
https://brainly.com/question/2166570
According to the image whats the answer? 30 points for brainliest!
PLEASE HURRY
in this activity, you will connect doing business with using the tools of algebra. You've seen a lot of scenarios in which people business use algebra to ensure or monitor their success, including maximizing profit, reaching revenue goals, and calculating the consequences of price increases. Imagine that you're involved in a business venture that could benefit from algebraic expressions and calculations . If you've been involved in such a business , recall what that experience entailed Write a paragraph describing the business venture and what kind of algebra or other calculations and formulas might help someone in that endeavor . Also include ways in which the business might operate differently with those tools than without them.
Answer: check explanation for the solution
Step-by-step explanation:
A business that offers services to people by providing many amusement and fun with gate fees
The algebraic equations to be used is the general linear equation
Y = MX + C
Where
Y = total income or money realised
M = rate or price rate
X = number of goods or services
C = flat rate or gate fees
The business can also operate differently by using exponential equation
A = P(1 + R%)^t
Where
A = profit
P = capital
R = rate
t = time
What else must be true for the triangles to be congruent by the HL theorem?
Answer:
the first one the both must have a right angle for it to be hl theorem
Jahnay is following this recipe to make cakes.
Jahnay uses 720 g of flour.
How many cakes is Jahnay making?
Recipe: Makes 1 Cake
90 g sugar
120 g butter
240 g flour
3 eggs
Answer:3
Step-by-step explanation:720 (the amount he uses) and divide it by 240 (which is the amount to make one cake) and it gives you 3
Fill in the blank.
The light from a lamp casts a shadow of a man standing 10 feet away from
the lamppost. The shadow is 5 feet long. The angle of elevation from the tip
of the shadow to the lamp is 50°. To the nearest foot, the lamppost is _________
feet tall.
Answer: x ≈ 18 ft
Step-by-step explanation:
We will use our trig knowledge to solve this.
The man is standing 10 ft away, but we also need to add the 5 ft shadow as well as that is a point on our triangle.
We can set up a simple trig equation of: tan(50) = x/15
x being the height of the lamppost.
Now we solve.
tan(50) = 1.1918
1.1918 *15 = x
x = 17.876
Now round to the nearest foot.
x ≈ 18 ft
The enrollment at East Valley High School over a six-year period is displayed in the scatterplot.
Student Enrollment at East Valley High School
1530
1500
(2013, 1492)
1470
1440
.
Students
1410
1380
1350
(2009, 1330)
1320
1290
1260
2008 2009 2010 2011 2012 2013
Year
Complete Question:
The enrollment at East Valley High School over a six-year period is displayed in the scatterplot. Student Enrollment at East Valley High School (1st picture)
Which is the equation of the line of best-fit for this scatterplot? (2nd picture)
Answer:
D) y = (81/2)x - (160,069/2)
Step-by-step Explanation:
From the scatter plot in the graph attached below, we are given the ordered pairs of the coordinates (2009, 1330), (2013, 1492), we can derive the equation of the line of best-fit for the scatter plot using the slope-intercept formula.
Thus, the slope-intercept formula is y = mx + b, where m is the slope of the line; and b is the y-intercept.
We need to find m, and then b to input into the formula to get our equation of the line.
==> Finding m using the two sets of coordinate given on the graph [ (2009, 1330) and (2013, 1492) ]:
slope (m) = (y2 - y1)/(x2 - x1)
m = (1492 - 1330)/(2013 - 2009)
= 162/4
m = 81/2
Next is to find b, which is the y-intercept
Recall, y = mx + b
Using one of the coordinates given (2009, 1330), we can find b by inputting 1330 for y, 2009 for x, and 81/2 for m in the slope-intercept formula:
Thus, we would have ==>
1330 = (81/2 * 2009) + b
1330 = (162,729/2) + b
1330 - 162,729/2 = b
(2,660 - 162,729)/2 = b
- 160,069/2 = b
Having known the values of m, and b, let's input their values to get the equation of the line.
Thus, using the slope-intercept formula y = mx + b, the equation of the line of best-fit for the scatter plot would be
==> y = (81/2)x +(-160,069/2)
y = (81/2)x - (160,069/2)
Answer:
d
Step-by-step explanation:
Choose the kind(s) of symmetry: point, line, plane, or none.2