Answer:
2.1
Step-by-step explanation:
Length of the segment BC can be obtained by using cosine law.
cos A =(b^2 + c^2 - a^2) /2bc
cos 20° = (5^2 +6^2 - a^2) /(2*5*6)
0.9396926208 = (25 + 36 - a^2) /60
0.9396926208 * 60 = 61 - a^2
56.3815572 = 61 - a^2
a^2 = 61 - 56.3815572
a^2 = 4.6184428
a = 2.14905626
a = 2.1 units
Hence, lenght of BC = 2.1 units.
Which graph represents the solution set of the system of inequalities?
y < 2/3x
Y>-x+2
Answer:
I attached it.
Step-by-step explanation:
This is the graph.
help me solve this please
Answer:
70°solution,
[tex]x = \frac{far \: arc - near \: arc}{2} \\ \: \: \: \: = \frac{250 - (360 - 250)}{2} \\ \: \: \: \: \: = \frac{250 - 110}{2} \\ \: \: = \frac{140}{2} \\ \: \: = 70[/tex]
Hope this helps..
Good luck on your assignment
The length of a rectangle is represented by L. If the width of the rectangle is one-half of its length, represent its width.
Answer:
L/2
Step-by-step explanation:
If the width is half of its length, that means it is 1/2*L, as L is the length. This can be simplified into L/2, which is our answer.
Answer:L/2
Step-by-step explanation: The length is represented as L. So half the lenght is 1/2L which can also be represented as L/2. So the width is represented as L/2
BRAINLIEST PLS HELP ASAP LINEAR EQUATIONS
Answer:
first one
Step-by-step explanation:
Tracey bought 10 movies
some cost 13 and the others 16
Let x be the movies that cost 13 and y ones that cost 16
we can state that
x+y = 10since Tracey both ten
13x+ 16y = 139since the total price is 139
so the system is :
[tex]\left \{ {{13x+16y=139} \atop {x+y=10}} \right.[/tex]
Find the volume of the composite figure below
Answer:
1386 in³
Step-by-step explanation:
Volume of the composite cone = volume of a hemisphere + volume of a cone
=>Find the volume of cone
Volume of cone = ⅓πr²h
π = 3.142
r = 7 in
h = =√(15² - 7²) [using Pythagorean theorem to solve for height given the slant height and radius]
h = √(225 - 49)
h = √176 ≈ 13 in
Volume of cone = ⅓*3.142*7²*13
= ⅓*2001.454 ≈ 667 in³
=>Find volume of hemisphere.
Volume of hemisphere = ½*volume of sphere = ½*4/3πr³ = ⅔πr³
π = 3.142
r = 7 in
Volume = ⅔*3.142*7³ ≈ 719 in³
Volume of composite figure = 667+719 = 1386 in³
1/4 of a pipe is white , 1/2part of the remaining is blue. If the remaining part is black and the length of this blackpart is 5 1/4cm, find the length of the pipe.
Answer: 14 cm
Step-by-step explanation:
let's total length = h
white = 1/4h
remain = h - 1/4h
=3/4h
blue = 1/2 of remaining
=1/2 of 3/4h
=3/8h
remain part black = 3/4h - 3/8h
=3/8h
according to the question
3/8h = 5 1/4 cm
h = 14 cm
length of the pipe is 14 cm
Answer:
14The length of the pipe is 14.
Solution,
Let the total length be X cm
[tex]x - \frac{x}{4} -{ (x - \frac{x}{4} ) \times \frac{1}{2}} = 5 \frac{1}{4} \\ x - \frac{x}{4} - \frac{x}{2} + \frac{x}{8} = \frac{21}{4} \\ \frac{8x - 2x - 4x + x}{8} = \frac{21}{4} \\ \frac{3x}{8} = \frac{21}{4} \\ 3x \times 4 = 21 \times 8 \\ 12x = 168 \\ x = \frac{168}{12} \\ x = 14[/tex]
Hope this helps..
Good luck on your assignment..
PLEASE HELP ME I BEG
Answer:
12
25
Step-by-step explanation:
The profit earned by a hot dog stand is a linear function of the number of hot dogs sold. It costs the owner $48 dollars each morning for the day’s supply of hot dogs, buns and mustard, but he earns $2 profit for each hot dog sold. Which equation represents y, the profit earned by the hot dog stand for x hot dogs sold?
Answer:
C. y=2x-48
Step-by-step explanation:
A. y=48x−2
B. y=48x+2
C. y=2x−48
D. y=2x+48
Profit per hotdog=$2
Quantity=x
Cost of hotdog, buns and mustard=$48
Find the equation profit earned by the hotdog stand for x hot dog sold
Total Profit(y)=(units profits*quantity)-cost
=$2*x-$48
y=2x-48
Answer:
C. y=2x−48
Step-by-step explanation:
did it on edge 2020
Select the correct answer. What is the simplified form of this expression? (9x2 + 10x + 4) − (9x2 + 5x − 1) A. x2 + 5x + 5 B. x2 + 15x + 3 C. 15x + 3 D. 5x + 5
Answer:
D. 5x + 5
Step-by-step explanation:
(9x2 + 10x + 4) − (9x2 + 5x − 1) =
Remove the first set of parentheses since they are unnecessary.
To remove the second set of parentheses, change every sign inside.
= 9x2 + 10x + 4 − 9x2 - 5x + 1
Combine like terms.
= 5x + 5
Answer: D. 5x + 5
The simplified form of this expression (9x2 + 10x + 4) − (9x2 + 5x − 1) is 5x+5 option (D) is correct.
What is a quadratic equation ?Any equation of the form [tex]\rm ax^2 +bx+c= 0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
[tex]=\rm (9x^2 + 10x + 4) - (9x^2 + 5x- 1)[/tex]
[tex]=\rm 9x^2 + 10x + 4 - 9x^2 - 5x+ 1)\\\\= 5x+5[/tex]
Thus, the simplified form of this expression (9x2 + 10x + 4) − (9x2 + 5x − 1) is 5x+5 option (D) is correct.
Learn more about quadratic equations here:
brainly.com/question/2263981
#SPJ2
Tournament scores for 92 golfers are distributed normally. Two
statistics from this tournament are given below.
mean score 74
standard deviation 2.5
What is the approximate percentage of golfers that scored
between 69 and 79?
A. 27%
B. 68%
C. 74%
D. 95%
Answer: D. 95%
Step-by-step explanation: If the difference of the scores given is 5 above and below the mean, that represents 2 standard deviations.
In normal distribution, 2 standard deviations above and below the mean represent 95% of all the inputs.
If (x + 2) is a factor of x3 − 6x2 + kx + 10, k
Answer:
k = -11
Step-by-step explanation:
Let [tex]p(x) = x^3-6x^2+kx+10[/tex]
And x+2 is a factor of p(x)
Let x+2 = 0 => x = -2
Putting in p(x)
=> p(-2) = [tex](-2)^3-6(-2)^2+k(-2)+10[/tex]
By remainder theorem, Remainder will be zero
=> 0 = -8-6(4)-2k+10
=> 0 = -8-24+10-2k
=> 0 = -22-2k
=> -2k = 22
Dividing both sides by -2
=> k = -11
The Venn diagram shows event A and event B comprised of outcomes from the same sample space. The probability of event A is given, as well as the probability of neither event A nor event B. What is the probability of event B?
Answer:
D 0.6
Step-by-step explanation:
plato/edmentum
Answer: 0.6
Step-by-step explanation:
Solve by factorising x^2 + 8x + 15 = 0
Answer:
See below
Step-by-step explanation:
x² + 8x + 15 = 0
x² + 5x + 3x + 15 = 0
x x (x + 5) + 3x + 15 = 0
xx (x + 5) +3 (x + 5) = 0
(x + 5) × (x + 3) = 0 → x + 5 = 0 x + 3 = 0
x = -5
x + 3 = 0
x = -5
x = -3
x1 = -5
x2 = -3
Hope this helped ! :)
What is the domain and range ?
Answer:
Domain is [-4, 4]
Range is [0, 4]
Step-by-step explanation:
Domain is the fancy name for the values of x that works for the graph (input), in this case, from -4 to 4, inclusive.
Range is the fancy name for the values of y that works for the graph (output), in this case, from 0 to 4, inclusive.
I need help for this question I’m stuck
Answer:
g=6
Step-by-step explanation:
We can start by multiplying both sides by 2
5(3g+2)=100
Now we can distribute the 5 by using the distributive property
15g+10=100
Then we subtract 10 from both sides
15g=90
Divide both sides by 15
g=6
Answer:
6
Step-by-step explanation:
5(3g + 2)/2 = 50 Multiply both sides by 2
5(3g + 2) = 50*2 = 100 Remove the brackets
15g + 10 = 100 Subtract 10 ***
15g+10-10 = 100 - 10 Collect like terms.
15g = 90 Divide by 15 ***
15g/15 = 90/15
g = 6
I don't know how to cut this down so that it requires only 2 steps. I guess that the two steps marked with *** are the 2 I would choose.
The revenue for a company producing widgets is given by y=-25x^2-50x+200, where x is the price in dollars for each widget. The cost for the production is given by y=25x-10. Determine the price that will allow the production of the widgets to break even.
Answer:
When they create 3.44 products and make a revenue of $76.027, they will break even.
Step-by-step explanation:
To do this, simply graph the 2 equation in a graphing calculator and analyze the graph for where the 2 graphs intersect. Discard the negative intersection because we cannot have a negative production. You should see that your intersection point is (3.441, 76.027).
how to do this question plz
Answer:
Step-by-step explanation:
surface area of two trapezoids=2[(12+8)/2×3]=2[30]=60 cm²
surface area of side rectangles=10×8+10×12=10(8+12)=200 cm²
surface area of top=10×5=50 cm²
surface area of bottom=10×3=30 cm²
Total surface area=60+200+50+30=340 cm²
Answer:
Step-by-step explanation:
to find the surface area , you need to find the area of each side(face)
top: 5*10=50
the bottom of the shape: 3*10=30
the front face:10*8=80
the sides are trapezoid shapes with:different dimensions:
side :8,12 and eight of 3 ( the shape has 3 faces the same)
area=((12+8)/2)*3= 30 (30*3 faces or sides)
add the numbers: 50+30+80+(30*3)=250 cm^2
I hope it is right and good luck
What is the y-intercept of the graph of the function f(x) = x^2 + 3x + 5?
Answer:
(0,5)
Step-by-step explanation:
To find the y-intercept, substitute in 0 for x and solve for y.
y=x^2 + 3x + 5
y=(0)^2 + 3(0) +5
y=0+0+5
y=5
Since there is no x coordinate for a y-intercept, the answer is (0,5)
Answer:
A. (0, -5) is the right answer on edge 2021
What is the solution ?
Answer:
C
Step-by-step explanation:
PLEASE HELP ASAP
Right triangle ABC is located at A (−1, −2), B (−1, 1), and C (3, 1) on a coordinate plane. What is the equation of a circle A with radius segment AC?
A (x + 1)2 + (y + 2)2 = 9
B (x + 1)2 + (y + 2)2 = 25
C (x − 3)2 + (y − 1)2 = 16
D (x − 3)2 + (y − 1)2 = 25
Answer:
b
Step-by-step explanation:
Answer:
B) (x + 1)2 + (y + 2)2 = 25
Step-by-step explanation:
What is the length of arc ZV?
π inches
Answer:
26
Step-by-step explanation:
Answer:
Its 26
Step-by-step explanation:
Correct on edg. 2021
Helppp!!!! please!!!
Answer:
F. cylinder
Step-by-step explanation:
A cylinder has a circle for its base, which has no vertices and is not a polygon. This, therefore, disqualifies a cylinder as a polyhedron.
how to do this question plz
question 2
Answer:
a) x+3=19
Step-by-step explanation:
a)
x is the age of Ronald , Collin is three years older than Ronald , so if we add up x(Ronald's age) and 3(the difference between both of their ages), we would get Collin's age(19) . That is the explanation for this equation.
b)
x+3=19
x=19-3
x=16
thus , x is 16 , in other words , Ronald's age is 16.
The test statistic of z equals = 2.94 2.94 is obtained when testing the claim that p not equals ≠ 0.877 0.877. A. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. B. Find the P-value. C. Using a significance level of alpha α equals = 0.01 0.01, should we reject Upper H 0 H0 or should we fail to reject Upper H 0 H0?
Answer:
Step-by-step explanation:
The claim being tested is that p not equals ≠ 0.877
A) This is the alternative hypothesis and it is a two tailed test. It means that it can be in either direction.
B)Given that z = 2.94, the p value would be determined from the normal distribution table. Since the curve is symmetrical and it is a two tailed test, the p for the left tail and the right tail would be considered. We will look at the area in both tails. Since it is showing in one tail only, we would double the area
From the normal distribution table, the area above the test z score in the right tail is 1 - 0.998 = 0.002
We would double this area to include the area in the left tail of z = - 2.94 Thus
p = 0.002 × 2 = 0.004
C) Since alpha, 0.01 > than the p value, 0.004, then we would reject the null hypothesis, H0
i am bad in fraction math. can you please help me. with proper explanation. Thank you!
Answer:
1 - 8/9 + 4/9 = 9/9 -8/9 +4/9 = (9-8+4)/9 = 5/9
Step-by-step explanation:
Answer:
The answer is 5/9.
Step-by-step explanation:
First, you have to make all the denorminator of the fractions the same by multultiplying :
[tex]1 - \frac{8}{9} + \frac{4}{9} [/tex]
[tex] = \frac{1}{ 1} - \frac{8}{9} + \frac{4}{9} [/tex]
[tex] = \frac{1 \times 9}{1 \times 9} - \frac{8}{9} + \frac{4}{9} [/tex]
[tex] = \frac{9}{9} - \frac{8}{9} + \frac{4}{9} [/tex]
Next, you have to make it into 1 fraction and simplify :
[tex] \frac{9}{9} - \frac{8}{9} + \frac{4}{9} [/tex]
[tex] = \frac{9 - 8 + 4}{9} [/tex]
[tex] = \frac{5}{9} [/tex]
Sam is two times Sydey's
their combined
age is 36. What is Sydney's age.
Answer:
12 years old
Step-by-step explanation:
Let's call Sydney's age x and Sam's age 2x. We can write:
x + 2x = 36
3x = 36
x = 12 so the answer is 12 years old.
(78) The flag of country Perralia has to contain three differently-colored stripes of the same width, all of which must be positioned either vertically or horizontally. If the flag of Perralia must consist of the national colors, which include green, red, yellow, black, and blue, how many different flags can be created
Answer:
120 flags
Step-by-step explanation:
Given that:
The flag of country Perralia has to contain three differently-colored stripes of the same width, r = 3 stripes
all of which must be positioned either vertically or horizontally = 2
If the flag of Perralia must consist of the national colors, which include green, red, yellow, black, and blue. So the number of color n = 5 colors
The objective is to determine how many different flags can be created.
Let us recall that;the arrangement of objects taking into account the different orders or arrangement is called permutation.
The same is applicable in this scenario as well.
The number of flags that can be created can be determined by considering the permutation of :
[tex]P_r = \dfrac{n!}{(n-r)!}[/tex]
[tex]P_r = \dfrac{5!}{(5-3)!}[/tex]
[tex]P_r = \dfrac{5!}{(2)!}[/tex]
[tex]P_r = \dfrac{5 \times 4 \times 3 \times 2!}{(2)!}[/tex]
[tex]P_r = {5 \times 4 \times 3[/tex]
[tex]P_r = 60[/tex]
However, Since all of the must be positioned either vertically or horizontally = 2
Then the total number pf flags that be created = 2 × 60 = 120 flags
What is the value of the angle marked with 2?
Answer:
Step-by-step explanation:
Consecutive angles cut by a common transversal are supplementary. That means that
x + 87 =180 Subtract 87 from both sides.
x+87-87=180-87
x = 93
15. Find the lengths of major and minor arcs AB correct to the tenth of a cm. The minor
arc AB has a central angle which measure 85°.
(3marks)
859
Las funciones trigonométricas se utilizan fundamentalmente en la solución de triángulos
rectángulos, recordando que todo triángulo rectángulo tiene un ángulo de 90° y sus ángulos
interiores suman 180°. La notación que se acostumbra es la siguiente.
Which number is the opposite of -3? Starting at -3, how many steps does it take to get to the opposite of -3? What does this number of steps represent?
Answer:
3
Step-by-step explanation:
The Absolute value of -3 is 3 because it's the distance away from 0. Both have the same distance away from 0.
The opposite number of the integer number negative 3 will be 3.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The number that produces zero when multiplied by an is known as the additive inverse of a number, or a, in arithmetic. The opposite, a shift in the sign, and negation are other names for this number.
The number is given below.
⇒ - 3
The opposite of the number negative 3 will be given as,
⇒ - (-3)
⇒ 3
The opposite number of the integer number negative 3 will be 3.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5