Answer:
D
Step-by-step explanation:
The first student is from a class of 12.
The first student = 9/12 for the fist male.
The second male is 8 out of 11.
The probability of both being males is
9/12 * 8/11 = 3/4 * 8/11 = 6/11
If you're good at trigonometry please help meeee
On a 30-60 set square, the side opposite the 60 degree angle is 80mm long. Find the length of the longest side to the nearest millimetre
Answer:
[tex]\boxed{92 \: \mathrm{mm}}[/tex]
Step-by-step explanation:
sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
sin (60) = [tex]\frac{80}{x}[/tex]
x = [tex]\frac{80}{\mathrm{sin} (60)}[/tex]
x = 92.37604307...
x ≈ 92
Using the base dimension and either given angle you can solve for x
Sin(angle) = opposite leg/ hypotenuse
Sin(60) = 80/x
X = 80/sin(60)
X = 80/ sqrt(3)/2
X = 160/3 x sqrt(3). (This is exact answer)
For a decimal answer: 160/3 = 53 1/3
Multiplied by sqrt(3) = 92.376 mm
Rounded to nearest mm = 92
SO I HAVE A QUESTION IS THE EQUATION Y-Y1=M(X-X1) AND Y=MX+B SAME GIVE EXAMPLES PLSSSSSSSSSS
Both of these are ways to express linear equations.
[tex]y - y_1 = m(x - x_1)[/tex] is the equation for a line with slope m which contains the point [tex](x_1,y_1)[/tex]. This is called point-slope form.
[tex]y = mx + b[/tex] is the equation for a line with slope m and y-intercept b. That is, it contains the point (0, b). This is called slope-intercept form.
Both of these are perfectly valid ways of writing lines, though sometimes one will be easier to use than the other.
Answer:
Hey there!
Both of these can be used to write the equation of the line. However, for the Y-Y1=M(X-X1) equation, we must know one point on the line (X1, Y1) and the slope of the line, while in the Y=MX+B equation, we need to know the slope and the x or y intercept.
For example, we can convert from Y-Y1=M(X-X1) to Y=MX+B
For example, say the point is (2, 3) and the slope is 1
Then, we have Y-3=1(x-2)
This simplifies to Y-3=1x-2
And to Y=X+1
So it is very possible to change from one form to another.
Let me know if you need more help.
Brainliest for whoever answers fully! Part A: Using the graph above, create a system of inequalities that only contains points C and F in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. (5 points) Part B: Explain how to verify that the points C and F are solutions to the system of inequalities created in Part A. (3 points) Part C: Chickens can only be raised in the area defined by y > −4x + 3. Explain how you can identify farms in which chickens can be raised. (2 points)
Answer:
Hope this helps
Step-by-step explanation:
For part A, we want two inequalities that have F and D as solutions, but none of the other points. The easiest way to do this is construct two lines that pass through the origin, and then figure out which way the inequalities need to face based on the points we want to include. Our lines will be:
The first line intersects F and the second line intersects D, so we need to figure out which way to point the inequalities so both include the point they do not intersect:
So our system is:
Part B: To verify, plug in the x and y values for D and F and verify that it creates true statements in the system.
Part C: You can plug in the different x, y values for the points. The points which create true statements identify farms where chickens can be raised, while those which create false statements cannot raise chickens.
Anna is saving to buy some souvenirs on a family vacation. She has already saved $125, and she saves another $2 from her allowance every day. Formulate and then graph the equation that models the total amount Anna saves, y, in terms of the number of days she adds to her savings, X.
Answer:
y = 2x + 125
Step-by-step explanation:
y = mx + c
c in this problem is $125.
It is the amount of money she has already saved, that is not going to change, so this is the y intercept.
She saves $2 every day, with the number of days being x.
So she saves $2 × x = 2x
2x is the gradient.
On your graph, your straight lien should run through 125 on the y-axis.
The line should have a gradient, or slope, of 2x.
Make sure to plot carefully, looking at the scale of the graph.
The equation is that the total amount Anna saves will be y = 2x + 125. And the graph of the line is drawn below.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Anna is saving to get a few keepsakes on a family excursion. She has previously saved $125, and she saves another $2 from her remittance consistently.
Let 'x' be the number of days and 'y' be the total cost. Then the equation is given as,
y = 2x + 125
The equation is that the total amount Anna saves will be y = 2x + 125. And the graph of the line is drawn below.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
Which is the graph of g(x) = [X + 3]
Answer:
The "top center" one
Step-by-step explanation:
-y=x+3
-Use the slope-intercept form to find the slope and y-intercept. (y=mx+b)
m=1 b=3
-Slope: 1 , y-intercept: 3
X | y
-3 | 0
0 | 3
Then you can use a graphing calculator if you'd like !
Pleas help with step by step. Thank you
Answer:
ok
Step-by-step explanation:
Find the volume of a box whose width is 5 units, height and length are 2 units.
Answer:
20 units^3
Step-by-step explanation:
Well the formula for the volume of a box is,
l*w*h
l = 2
h = 2
w = 5
2*2*5
= 20 units^3
Hope this helps :)
Answer:
The volume of a box is:
20 units³
Step-by-step explanation:
The volume formula is:
v = height*width*length
v = 2*5*2
v = 20 units³
Determine if the statement is always, sometimes or never true. There are 300 degrees in the sum of the interior angles of a polygon.
Answer:
Never
Step-by-step explanation:
Using the formula to find the sum of the interior angles, (n-2) * 180, we can work backwards.
300/180 +2 = 11/3 or 3.666. Polygons cannot have decimal sides therefore your answer is never.
Answer:
never
Step-by-step explanation:
(a) Solve the system of linear equations:
x + y = 14
X-y=6
Answer:
x=10,y =4
Step-by-step explanation:
x + y = 14
X-y=6
Add the two equations together to eliminate y
x + y = 14
X-y=6
-----------------------
2x +0y = 20
Divide by 2
2x/2 =20/2
x = 10
Then find y
x+y = 14
10+y =14
Subtract 10 from each side
10+y-10=14-10
y =4
Answer:
x = 10, y = 4
Step-by-step explanation:
One way of doing this is by doing the substitution method
To do this you first need to put x on one side (x = y + 6)
Now where there is an x in the first equation you put that instead
(y + 6) + y = 14
After this, you solve for y (y = 4)
Lastly, you put the 4 where there is a y and then solve for x
x - 4 = 6
x = 10
FIRST GETS BRAINLLEST If the rectangle below is enlarged by a scale factor of 1.2, what will be the area of the new rectangle? 62 square units 66 square units 72 square units 76 square units
Answer:
72 square units.
Step-by-step explanation: You have to multiply both sides by the scale factor. 5 times 1.2 is 6, and 10 times 1.2 is 12. Then, multiply 6 by 12 to get your area of 66 square units.
please answer question 10
Answer:
Length = 5 units, Area = 51 unit squared
Step-by-step explanation:
For the length of the midsection (I think this is what you're talking about):
Method 1.
Draw the graph and count the units across for the length.
Method 2.
The lowest y coordinates are the 0 from point A and the 0 from point B: this means that the line between point A and B is the bottom line of the trapezoid.
The highest y coordinates are the 6 from point C and the 6 from point D: this means that the line between point C and D is the top line of the trapezoid (parallel to line AB).
Since the length of the midsection is essentially the shorter line of the two parallel lines, it is the length between point C and point D.
(10, 6) - (5, 6) = 5, so the length of the midsection is 5 units.
For the area:
Step 1. Add the lengths of the pair of parallel lines.
5 units + 12 units = 17 units
Step 2. Divide the answer to step 1 by 2.
17 units ÷ 2 = 8.5 units
Step 3. Multiply the answer to step 2 by the height between the two parallel lines.
6.5 units x 6 units = 51 units squared
Hopefully this was what you were looking for!
Bluey :)
Pls help With this question thank you
Answer:
[tex]CD=4 \text{ cm }[/tex]
Step-by-step explanation:
We have a similarity of triangles. Once the side BC and ED are parallel,
[tex]$\frac{BC}{AC} =\frac{ED}{AD} $[/tex]
[tex]$\frac{10}{AC} =\frac{5}{4} $[/tex]
Once [tex]AC=AD+CD \Rightarrow AC=4+CD[/tex]
[tex]$\frac{10}{4+CD} =\frac{5}{4} $[/tex]
[tex]5CD+20=40[/tex]
[tex]5CD=20[/tex]
[tex]CD=4 \text{ cm }[/tex]
The formula for any arithmetic sequence is an = a1 + d(n - 1), where an represents the value of the nth term, a1 represents the value of the first term, d represents the common difference, and n represents the term number. What is the formula for the sequence -15, -11, -7, ...? an = -15 + (-4)(n - 1) an = -15 + (n - 1) an = 4 + (-15)(n - 1) an = -15 + 4(n - 1)
Answer:
4th choice
Step-by-step explanation:
First we would just solve the equation since that is the easiest way. So 15 would be our a1 or first term and each time the number is being added by 4 so we would get an = -15 + 4(n - 1) for our final answer or the 4th choice
Answer:
option 4
Step-by-step explanation:
-15, -11 , -7 ,......
First term = [tex]a_{1}[/tex] = -15
Common difference = d = 2nd term - 1st term
= -11 - [-15]
= -11 + 15 = 4
Plug in the values of [tex]a_{1}[/tex] & d in the formula
[tex]a_{n} = a_{1} + d (n-1)\\\\a_{n} = -15 + 4*(n-1)[/tex]
i need an explanation for this question!
Answer:
D
Step-by-step explanation:
2/5 is 40%, so we need to find 40% of 25. .40 x 25 = 10. We see that 31 - 40 has 8 values and 41 to 50 has to, and 8 + 2 = 10, so our answer is D.
Which of the following is a statistical question? A. How many students attend Natasha's school? B. How many players are on Greg's football team? C. What volume of milk is used to make cupcakes according to Paula's cookbook? D. What are the checking account balances of the shoppers in a grocery store?
Answer:
Step-by-step explanation:
I need help doing this can anyone help?
You posted a lot of questions. I'll do the first four problems to get you started.
============================
Problem 1
This sequence is arithmetic because we add the same amount (4) each time to get the next term. The first term is -2. The first five terms are: -2, 2, 6, 10, 14
============================
Problem 2
This sequence is geometric. We multiply each term by 1/4 to get the next term. We start with 8 as the first term. The first five terms are 8, 2, 1/2, 1/8, 1/32.
============================
Problem 3
Similar to problem 1. This time we're adding -19 to each term to get the next one. The starting term is -6. This sequence is arithmetic and the first five terms are -6, -25, -44, -63, -82
============================
Problem 4
Similar to problem 2. This sequence is geometric with common ratio 2/3. First term is 6. The first five terms are 6, 4, 8/3, 16/9, 32/27
Name the prism in each case given that all lateral faces are rectangles and the bases are: Squares
Answer:
Rectangular Cuboid
Step-by-step explanation:
A rectangular cuboid has 4 faces that are rectangles and 2 faces that are squares. Since a square is a rectangle, this shape is technically built of 6 rectangles and is creates a 3-dimensional shape. Hence, we have the prism, rectangular cuboid.
Leo had a $30 gift card to use at a coffee shop. He used the entire balance to buy regular-sized coffees, which cost $2, and large coffees, which cost $3. If he bought 13 coffees in total, how many large coffees did he buy? 2 3 4 9
Answer:
4 Large coffees
Step-by-step explanation:
4 X $3.00 = $12.00
9 x $2.00 = $18.00
$18.00 (9 small coffees) + $12.00 (4 Large Coffees ) = $30.00
Answer:
4
Step-by-step explanation:
took the test
Find the radius of the circle whose equation is (x - 2)2 + (y - 4)2 = 9.
O 81
09
3
Answer:
3
Step-by-step explanation:
(x - 2)^2 + (y - 4)^2 = 9
The equation of a circle is written as
(x-h)^2+ (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
(x - 2)^2 + (y - 4)^2 = 3^2
The center is ( 2,4) and the radius is 3
Answer:
r = 3
Step-by-step explanation:
The stock equation for a circle of center (h, k) and radius r is
(x - h)^2 + (y - k)^2 = r^2. Comparing this with the given (x - 2)^2 + (y - 4)^2 = 9, we see that r^2 must be 9 and therefore r = 3.
I don’t want the answer to this just how to work it out. The required staff to student ratio is 2:15. If 340 people attended the excursion, how many teachers were there?? Thanks
Answer:
40 teachers.
Step-by-step explanation:
The required staff to student ratio is 2:15340 people attended the excursion.We are to find the number of teachers (staff) who attended the excursion).
For every 2 staff, there are 15 students
The number of teachers who attended the excursion is [tex]\frac{2}{17}[/tex] × 340 = 40 teachers
The number of students who attended the excursion is [tex]\frac{15}{17}[/tex] × 340 = 300
Please help me with this geometry question :((
Step-by-step explanation:
the proportion that contains BC and FI :
BC / FG = proportion
8/4= proportion
2= proportion
BC/FI=8/3
Comeplete the table for the given rule. Rule: y = x/4
Answer:
x=16
x=8
x=36
Step-by-step explanation:
16÷4=4
8÷4=2
36÷4=9
Answer:
please see the attached picture.
Hope it helps..
Best regards!!
HELPPPP PLEASEEEEEEEEE
Answer:
3
Step-by-step explanation:
Plug in 2 for x:
5-2 - 3
Answer:
3
Step-by-step explanation:
f(x)= 5 - x
f(2) = 5 - 2 = 3
If 4 pounds of sugar cost $2, the cost of 1 pound of sugar is $ and the cost of 10 pounds of sugar is $ Bryan drives at an average speed of 60 miles per hour. At this rate, it will take him 3 hours to drive how many miles does Bryan
Answer:
The cost of one pound of sugar is $0.5 and the cost of 10lbs of sugar is $5
Bryan is driving 180 miles
Step-by-step explanation:
The bending of a bean varies directly as its mas. A beam is bent 20mm by a mass 0f 40kg. how much will the beam bend with a mass of 100kg?
Answer:
The beam will bend by 50 mm with a mass of 100kg?
Step-by-step explanation:
The first step in solving the problem of direct variation is setting up the relation mathematically.
We can do this as follows:
The bending of the beam varies directly as its mass.
[tex]20 \alpha 40kg[/tex]
[tex]\alpha[/tex] here is the symbol representing direct variation. To remove this and replace it with an equality sign, we have to introduce a constant of proportionality, k
[tex]20 = k \times 40[/tex]
k = 20 /40 = 0.5
We can now use this to find the distance the beam will bend with a mass of 100kg?
This will be
[tex]Bending = 0.5 \times 100 =50mm[/tex]
There fore, the beam will bend by 50 mm with a mass of 100kg?
Leonora is factoring a trinomial. The factors of the trinomial are shown on the model. An algebra tile configuration. 7 tiles are in the Factor 1 spot: 1 is labeled + x and 6 are labeled negative. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled +. 0 tiles are in the Product spot. Which trinomial did she factor? x2 + 4x – 12 x2 + 2x – 6 x2 – 8x – 6 x2 – 4x – 12
Answer:
D: X^2-4x-12
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
What’s the slope for this graphed?
A.1/2
B.-2
C.2
D.-3
Answer:
the answer is just 2
Step-by-step explanation:
start at the -3 and move right 3 and up 6 this is a inclined line so the answer will be positive the fraction put the numbers into a rise over run fraction which will be 6/3 which will reduce to 2/1 which is 2.
Need help asap plz ill rate 5 star (only right answer please)
Answer:
[tex]6x^2 -x - 1[/tex]
By degree: Quadratic
By number of terms: Trinomial
[tex]3x + 4[/tex]
By degree: Linear
By number of terms: Binomial
[tex]2[/tex]
By degree: Constant
By number of terms: Monomial
Step-by-step explanation:
Given
[tex](x - \frac{1}{2})(6x + 2)[/tex]
[tex](7x^2 + 3x) -\frac{1}{3}(21x^2 - 12)[/tex]
[tex]4(5x^2-9x+7)+2(-10x^2+18x-13)[/tex]
Required
Simplify and categorize the result based on their degree and number of terms
Simplifying [tex](x - \frac{1}{2})(6x + 2)[/tex]
[tex]x(6x + 2) - \frac{1}{2}(6x + 2)[/tex]
Open bracket
[tex]6x^2 + 2x - 3x - 1[/tex]
[tex]6x^2 -x - 1[/tex]
By degree: Quadratic
By number of terms: Trinomial
Simplifying [tex](7x^2 + 3x) -\frac{1}{3}(21x^2 - 12)[/tex]
Open bracket
[tex]7x^2 + 3x -\frac{1}{3} * 21x^2 -\frac{1}{3}*- 12[/tex]
[tex]7x^2 + 3x -7x^2 + 4[/tex]
Collect like terms
[tex]7x^2-7x^2 + 3x + 4[/tex]
[tex]3x + 4[/tex]
By degree: Linear
By number of terms: Binomial
Simplifying [tex]4(5x^2-9x+7)+2(-10x^2+18x-13)[/tex]
Open brackets
[tex]4*5x^2-4*9x+4*7+2*-10x^2+2*18x-2*13[/tex]
[tex]20x^2-36x+28-20x^2+36x-26[/tex]
Collect like terms
[tex]20x^2-20x^2-36x+36x+28-26[/tex]
[tex]2[/tex]
By degree: Constant
By number of terms: Monomial
Triangle ABC has vertex coordinates A(–5, 2), B(–1, 3), and C(–1, 1). It is rotated 90° clockwise around the origin. What are the coordinates of B'?
Answer:
(3,1)
Step-by-step explanation:
The rule for a 90 degree clockwise rotation:
[tex](x,y)\rightarrow(y,-x)[/tex]
B is (-1, 3).
Apply the rule:
[tex]\frac{(-1,3)\rightarrow\boxed{(3,1)}}{(x,y)\rightarrow(y,-x)}\\\\3 * 1 = 3\\\\-1 * -1 = 1[/tex]
Option D should be the correct answer.
1. What solid is represented by this net? (Image 1). A. cylinder B. triangular pyramid C. rectangular prism D. triangular prism E. cone F. rectangular pyramid 2. Choose all the solids from the list below. A. Rectangle B. Circle C. Cone D. Pyramid E. Prism F. Cylinder 3. The volume of the following figure = ___________ cm3. (Image 2) A. 288 B. 72 C. 216 D. 144
Answer:
c rectangular prism i think
Step-by-step explanation: