Answer:
A. 2(I + w)
Step-by-step explanation:
The space bounded by a rectangle is its perimeter. So, I would use 2(l + w) where l = length of rectangle and w = width of rectangle.
As an example, suppose we have a rectangle of length, l = 40 meters and width, w = 20 meters and seek to find its perimeter that is, the space bounded by the rectangle, we substitute the values of l and w into the equation for the perimeter.
So, P = 2(l + w)
substituting the values of l and w into the equation, we have
P = 2(l + w)
P = 2(40 m + 20 m)
P = 2(60 m)
P = 120 m
So the space bounded by the rectangle is 120 m.
So, to find the space bounded by a rectangle, we use 2(l + w).
So, the answer is A.
PLEASE I NEED HELP WITH THIS ONE
Answer:
H
Step-by-step explanation:
When h=0,t=45.
so we can exclude F.
When h=10,t=15.
only H satisfiy the condition.
Answer:
H
The line shows an inverse proportionality between temperature and time:
[tex]{ \tt{t \: \alpha \: \frac{1}{h} }} \\ \\ { \tt{t = \frac{k}{h} }}[/tex]
Slope or change:
[tex] = \frac{45 - 30}{0 - 5} \\ = - 3[/tex]
y-intercept:
[tex]c = 45[/tex]
General equation:
[tex]y = - 3x + 45[/tex]
If you have 6 periods per day at school and math is 1 of them, what percentage of your school day is spent in math?
Answer:
16.67% of your day is spent in math class.
Step-by-step explanation:
The total would be 100% and then since you have 6 periods we divide 100 by 6 to get 16.67%. So 16.67% of your day is spent in math class.
(sqrt)48,400 is a number that lies
between which two powers of 10?
Answer:4 and 8?
Step-by-step explanation:
Which of the following values of r will result in a true statement when substituted into the given equation?
2(4r + 4) = -16
A. r = -3
B. r = -2
C. r = 2
D. r = 3
Please help me w the answer
Answer:
[tex]\frac{2(x-6)(x-10)}{(x-4)(x-5)}[/tex]
Step-by-step explanation:
In essence, one needs to work their way backwards to solve this problem. Use the information to construct the function.
The function has verticle asymptotes at (x = 4) and (x = 5). This means that the denominator must have (x - 4) and (x - 5) in it. This is because a verticle asymptote indicates that the function cannot have a value at these points, the function jumps at these points. This is because the denominator of a fraction cannot be (0), the values (x - 4) and (x - 5) ensure this. Since if (x) equals (4) or (5) in this situation, the denominator would be (0) because of the zero product property (this states that any number times zero equals zero). So far we have assembled the function as the following:
[tex]\frac{()}{(x-4)(x-5)}[/tex]
The function has x-intercepts at (6, 0), and (0, 10). This means that the numerator must equal (0) when (x) is (6) or (10). Using similar logic that was applied to find the denominator, one can conclude that the numerator must be ([tex](x - 6)(x-10)[/tex]). Now one has this much of the function assembled
[tex]\frac{(x-6)(x-10)}{(x-4)(x-5)}[/tex]
Finally one has to include the y-intercept of (0, 120). Currently, the y-intercept is (60). This is found by multiplying the constants together. (6 * 10) equals (60). One has to multiply this by (2) to get (120). Therefore, one must multiply the numerator by (2) in order to make the y-intercept (120). Thus the final function is the following:
[tex]\frac{2(x-6)(x-10)}{(x-4)(x-5)}[/tex]
Mark had 3/2 cans of paint and used 1/2 cans for his room. What fraction of the paint did he use
Help I’m slowww
Answer:
1/3 fraction of whole paint is used by mark
Step-by-step explanation:
Mark used 1/2 out of 3/2 cans.
[tex]\frac{1}{2}[/tex] ÷ [tex]\frac{3}{2} = \frac{1}{2}*\frac{2}{3}=\frac{1}{3}[/tex]
Let $S$ be the set of points $(a,b)$ in the coordinate plane, where each of $a$ and $b$ may be $-1$, 0, or 1. How many distinct lines pass through at least two members of $S$
Answer:
20 Lines
Step-by-step explanation:
According to the Question,
Given That, Let S be the set of points (a, b) in the coordinate plane, where each of a and b may be -1, 0, or 1.Now, the total pairs of points which can be formed is 9
And, the line passing through 2 such points 9c2 = 9! / (2! x 7!) = 9x4 ⇒ 36
Here, We have overcounted all of the lines which pass through three points.
And, each line that passes through three points will have been counted 3c2 = 3! / 2! ⇒ 3 times
Now, the sides of the square consist of 3 points. We have counted each side thrice, so 4*2 are repeated.
Therefore, the distinct lines pass through at least two members of S is 3 horizontal, 3 vertical, and 2 diagonal lines, so the answer is 36 - 2(3+3+2) = 20 Linesfind m to cos²x-(m²-3)sinx+2m²-3=0 have root
Answer:
[tex]-\sqrt{2} \le m \le \sqrt{2}[/tex] would ensure that at least one real root exists for this equation when solving for [tex]x[/tex].
Step-by-step explanation:
Apply the Pythagorean identity [tex]1 - \sin^{2}(x) = \cos^{2}(x)[/tex] to replace the cosine this equation with sine:
[tex](1 - \sin^{2}(x)) - (m^2 - 3)\, \sin(x) + 2\, m^2 - 3 = 0[/tex].
Multiply both sides by [tex](-1)[/tex] to obtain:
[tex]-1 + \sin^{2}(x) + (m^2 - 3)\, \sin(x) - 2\, m^2 + 3 = 0[/tex].
[tex]\sin^{2}(x) + (m^2 - 3)\, \sin(x) - 2\, m^2 + 2 = 0[/tex].
If [tex]y = \sin(x)[/tex], then this equation would become a quadratic equation about [tex]y[/tex]:
[tex]y^{2} + (m^2 - 3)\, y + (- 2\, m^2 + 2) = 0[/tex].
[tex]a = 1[/tex].[tex]b = m^{2} - 3[/tex].[tex]c = -2\, m^{2} + 2[/tex].However, [tex]-1 \le \sin(x) \le 1[/tex] for all real [tex]x[/tex].
Hence, the value of [tex]y[/tex] must be between [tex](-1)[/tex] and [tex]1[/tex] (inclusive) for the original equation to have a real root when solving for [tex]x[/tex].
Determinant of this quadratic equation about [tex]y[/tex]:
[tex]\begin{aligned} & b^{2} - 4\, a\, c \\ =\; & (m^{2} - 3)^{2} - 4 \cdot (-2\, m^{2} + 2) \\ =\; & m^{4} - 6\, m^{2} + 9 - (-8\, m^{2} + 8) \\ =\; & m^{4} - 6\, m^{2} + 9 + 8\, m^{2} - 8 \\ =\; & m^{4} + 2\, m^{2} + 1 \\ =\; &(m^2 + 1)^{2} \end{aligned}[/tex].
Hence, when solving for [tex]y[/tex], the roots of [tex]y^{2} + (m^2 - 3)\, y + (- 2\, m^2 + 2) = 0[/tex] in terms of [tex]m[/tex] would be:
[tex]\begin{aligned}y_1 &= \frac{-b + \sqrt{b^{2} - 4\, a\, c}}{2\, a} \\ &= \frac{-(m^{2} - 3) + \sqrt{(m^{2} + 1)^{2}}}{2} \\ &= \frac{-(m^{2} - 3) + (m^{2} + 1)}{2} = 2\end{aligned}[/tex].
[tex]\begin{aligned}y_2 &= \frac{-b - \sqrt{b^{2} - 4\, a\, c}}{2\, a} \\ &= \frac{-(m^{2} - 3) - \sqrt{(m^{2} + 1)^{2}}}{2} \\ &= \frac{-(m^{2} - 3) - (m^{2} + 1)}{2} \\ &= \frac{-2\, m^{2} + 2}{2} = -m^{2} + 1\end{aligned}[/tex].
Since [tex]y = \sin(x)[/tex], it is necessary that [tex]-1 \le y \le 1[/tex] for the original solution to have a real root when solved for [tex]x[/tex].
The first solution, [tex]y_1[/tex], does not meet the requirements. On the other hand, simplifying [tex]-1 \le y_2 \le 1[/tex], [tex]-1 \le -m^{2} + 1 \le 1[/tex] gives:
[tex]-2 \le -m^{2} \le 0[/tex].
[tex]0 \le m^{2} \le 2[/tex].
[tex]-\sqrt{2} \le m \le \sqrt{2}[/tex].
In other words, solving [tex]y^{2} + (m^2 - 3)\, y + (- 2\, m^2 + 2) = 0[/tex] for [tex]y[/tex] would give a real root between [tex]-1 \le y \le 1[/tex] if and only if [tex]-\sqrt{2} \le m \le \sqrt{2}[/tex].
On the other hand, given that [tex]y = \sin(x)[/tex] for the [tex]x[/tex] in the original equation, solving that equation for [tex]x\![/tex] would give a real root if and only if [tex]-1 \le y \le 1[/tex].
Therefore, the original equation with [tex]x[/tex] as the unknown has a real root if and only if [tex]-\sqrt{2} \le m \le \sqrt{2}[/tex].
Explain why the probability that the critical path will be finished in 22 weeks or less is not necessarily the probability that the project will be finished in 22 weeks orless.
Answer:
The question is very not detailed but I assume that because the path will finish does not mean that the whole thing/project will finish.
Step-by-step explanation:
The following are the last 10 run scores Colin got in cricket:
28, 13, 4, 12, 32, 22, 13, 22, 26, 32
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 16 runs.
What is his new mean score?
Give your answers as decimals.
Answers:
a) Mean = 20.4b) New mean = 20==================================================
Explanation:
To get the mean, we add up the scores and divide by 10 (because there are 10 scores at first)
28+13+4+12+32+22+13+22+26+32 = 204
204/10 = 20.4
The mean is 20.4
------------
For part b), we redo those steps shown above, but tack 16 onto the list. So we'll add up all the values (including that 16 at the end) and divide by 11 this time.
28+13+4+12+32+22+13+22+26+32+16 = 220
220/11 = 20
The new mean is 20.
The new mean is slightly smaller than the old mean. Notice how 16 is smaller than 20.4, so this new score pulls down the mean just a little bit.
The value of the expression 10 - 1/2^4 x 48
A = 2
B = 4
C = 5
D = 7
Answer:
option d is correct answer
This year, Carlos planted 6 more than one-third of the cucumber plants he planted last year. How many cucumber
plants did he plant this year if last year he planted 12 plants?
06
09
O 10
12
Answer:
10
Step-by-step explanation:
last year he planted 12.
1/3 of that is 12/3 = 4.
6 more than that is 4 + 6 = 10.
Answer: C.) 10
Step-by-step explanation:
Given: triangle RST is circumscribed about circle A.
m∠APT = _____°
Answer:
90
Step-by-step explanation:
From the given drawing, we have;
ΔRST is circumscribed about circle A
The center of the circle A = The point A
The line RT = A tangent to the circle A
The radius to the circle A = The line AP
According to circle theory, a line which is tangent to a circle is perpendicular to the radius of the circle drawn from the point of tangency
Where two lines are perpendicular to each other, then the angle formed between them = 90°
The angle formed between a tangent and the radius of the circle = m∠APT
Therefore;
m∠APT = 90°
Can someone help me with this math homework please!
Answer:
option 3. (4, -2)
Step-by-step explanation:
For a relation to be a function there should be exactly one output value for a given input.
In the given relation :-
4 has 2 outputs, -2 and 2, so if we remove the pair (4, -2) 4 will have only one output value ,i. e., 2. And hence the relation will be a function.
So the answer is option 3. (4, -2)
Can someone help solve the problems 2-4
Answer:
1234567891011121314151617181920
Step-by-step explanation:
you just count
x + y = 3, 4y = -4x - 4
System of Equations
Answer:
no solutions
Step-by-step explanation:
Hi there!
We're given this system of equations:
x+y=3
4y=-4x-4
and we need to solve it (find the point where the lines intersect, as these are linear equations)
let's solve this system by substitution, where we will set one variable equal to an expression containing the other variable, substitute that expression to solve for the variable the expression contains, and then use the value of the solved variable to find the value of the first variable
we'll use the second equation (4y=-4x-4), as there is already only one variable on one side of the equation. Every number is multiplied by 4, so we'll divide both sides by 4
y=-x-1
now we have y set as an expression containing x
substitute -x-1 as y in x+y=3 to solve for x
x+-x-1=3
combine like terms
-1=3
This statement is untrue, meaning that the lines x+y=3 and 4y=-4x-4 won't intersect.
Therefore the answer is no solutions
Hope this helps! :)
The graph below shows the two equations graphed; they are parallel, which means they will never intersect. If they don't intersect, there's no common solution
The angle of elevation of a tree at a distance of 10m from the foot of the tree is 43°. Find the height of the tree
Answer:
9.32m is the height of. the tree from the ground.
The sum of two numbers is -5 and their difference is -1. Find the two
numbers.
Answer:
x=-3 and y=-2
Step-by-step explanation:
let the numbers be x and y
x+y=-5
x-y=-1
therefore x=-5-y
-5-y-y=-1
-2y=-1+5
-2y=4
y=-2
×=-5-(-2)
x=-5+2
x=-3
Answer: -2 and -3
Step-by-step explanation:
Number #1 = xNumber #2 = yx + y = -5
x - y = -1 -> x = y - 1
(y - 1) + y = -5
y - 1 + y = -5
2y = 1 - 5
2y = -4
y = -2
x = y - 1 = -2 - 1 = -3
please someone explain this
Answer: 68
Step-by-step explanation: Complementary angles are angles that add up to 90. So, you need to do 90-22=68.
FOR EASY BRAINLIEST ANSWER QUESTION BELOW!
1. Solve each word problem .twice a number added three times the sum of the number and 2 is more than 17. Find the numbers that satisfy condition
Answer:
28
Step-by-step explanation:
20. It takes Zach 15 minutes to walk 7 blocks to the swimming pool. 7 At this rate, how many blocks can he walk in one minute? Circle the letter of the correct answer. how do I do this step by step to solve it by myself
Answer:
Zach chose C as the correct answer
HELP ASAP!!!
The circle graph shows the percentage of visitors at a
convention who ordered various flavors of juice. There were 700
visitors at the convention.
About how many visitors ordered grape juice or apple juice?
Enter your answer in the box.
Step-by-step explanation:
40+24+11+8+17= 100
100 - 700
24 - ?
24×700/100
= 168 visitors ordered apple juice
100-700
11-?
11×700/100
=77 people ordered grape juice
Lines L and M are parallel.
Help I’ll make u brainliest if it’s right!!
Answer:
∠3 = 142°
Step-by-step explanation:
L // M
∠2 = 38° {Corresponding angles are congruent}
∠2 + ∠3 = 180 {Linear pair}
38 + ∠3 = 180
∠3 = 180 - 38
∠3 = 142°
the answer is 142 degrees, get 180 degrees from a straight lines and subtract the acute angle from 180 to get the answer, 180-38
find the value of 5 + 8 / 4 * 3
Answer:
44
Step-by-step explanation:
5+8/4*3
5+24/4
20+24
44
Determine the length of AB.
16.3 units
23.6 units
5.7 units
14.9 units
Answer:
16.3
Step-by-step explanation:
i just took the quiz
Answer:
16.3 units
Step-by-step explanation:
Helloo, I just took the quiz too and the answer is 16.3
PLISSSSSSSS HELPPPPPP!!!!!!
i will give brainliest
Evaluate the question in the photo attached please. ASAP
William needs to work out the size of angle Y in this diagram
One of William’s reasons are wrong.
Write down the correct reason.
Answer:
because internal staggal angles are equal
Step-by-step explanation:
The first reason is wrong.
Angle EGH and DEG are internal staggal angles:
the two angles are on both sides of the cut line EG, and the two angles are between the two divided lines.
{the definition of internal staggal angle}
Two ships P and Q left port at the same time. Q sailed at a bearing of 150 degrees while P sailed on the north side of Q. After a distance of 8km and 10km by P and Q respectively, their distance apart is 12km. Find the bearing of P from R
Answer:
247.18
Step-by-step explanation:
please watch the diagram carefully to see marked areas
According to given situation cosine law in trigonometry identities used
[tex]c^{2}=b^{2} +a^{2} -2abcosx[/tex] to find the bearing angle of P from R is 67 degree.
What is trigonometry identities.If the identities or equations are applicable for all the triangles and not just for right triangles, then they are the triangle identities. These identities will include:
Sine law
Cosine law
Tangent law
According to question,
The angle between RP & RQ.
Using the cosine law
[tex]PQ^{2} = RP^{2} + QR^{2} - 2PR*RQ*cosx\\12^{2}=8^2+10^2-2*8*10cosx\\cosx = \frac{164-144}{160} \\cosx = \frac{20}{160} \\cosx =\frac{1}{8}[/tex]
[tex]x=83[/tex] degree
[tex]150-83=67[/tex]
Hence, the bearing of P from R is 67 degree
To know more about cosine law here
https://brainly.com/question/17289163
#SPJ2
One number is 10 less than three times a second number. If their sum is 46, find the larger of the two numbers.
Answer:
32
Step-by-step explanation:
Number 1 =x
Number 2 =(3x-10)
number 1 + number 2 =46
x+(3x-10)=46
4x=56
x=14
Number 1 =x=14
Number 2=3x-10
3(14)-10
32
Number 1 (14)+Number 2 (32)=46
