Answer:
Step-by-step explanation:
In each option you need to find the number of outcomes of a single event and then multiply that by the number of times that event takes place.
1. 2 outcomes (heads and tails)
2. 6 outcomes (2 outcomes * 3 tosses)
3. 60 outcomes (6 outcomes per die * 10 rolls)
4. 12 outcomes (6 outcomes per die * 2 rolls)
5. 10 outcomes (10 numbers on the pad)
6. 52 outcomes (52 cards in a regular deck)
7. 32 outcomes (32 letters in the alphabet)
8. 7 outcomes (7 letters to choose from)
9. 10 outcomes (10 letters to choose from)
10. 36 outcomes (36 crayons to choose from)
Determine the sum of the measures of the exterior angles of a convex hexagon (6-sided polygon). Question 1 options: 360° 540° 720° 1,080°
Answer:
360°
Step-by-step explanation:
The sum of the exterior angles of any polygon = 360°
The sum of the measures of the exterior angles of a convex hexagon will be 360°. Then the correct option is A.
What is a regular hexagon?The complete polygonal shape of a regular hexagon has six rotational symmetry and six equal angles. Any periodic polygon has symmetrical sides and angles on all vertices.
The external angle of the regular hexagon will be given as,
External angle = 360° / 6
External angle = 60°
Then the sum of the measures of the exterior angles of a convex hexagon will be
⇒ 60° x 6
⇒ 360°
The sum of the measures of the exterior angles of a convex hexagon will be 360°.
Then the correct option is A.
More about the regular hexagon link is given below.
https://brainly.com/question/1694257
#SPJ2
martin is filling his bathtub, but he left the drain partially open. martin knows that it takes 8 minutes to fill his 40 gallon tub. the equation v = 2.5t represents the volume, v , of water that drains out of the tub in t minutes. if martin leaves the water on, will the tub ever overflow ?
please someone help
Answer:
Yes
Step-by-step explanation:
First, we know that 40 minutes = 8 gallons filled up. We have another equation, v=2.5t, that includes time and volume. If we can make the first equation in terms of time, we can figure out the relative speeds of water entering/exiting the bathtub.
To make 40 minutes = 8 gallons in terms of t, or minutes, we can divide both sides by 8 to get
5 minutes = 1 gallon
5t = v
Therefore, for water entering the tub, we get
5t = v, and for water draining out, we get
2.5t = v
As the time is always positive, the water entering the tub (5t) will always be greater than the water exiting the tub. Therefore, as more water goes in than out, the tub will gradually increase in water level and will eventually overflow
Chris is trimming trees. He can trim 2/3 of a tree in 30 minutes. What is Chris’s rate for trimming trees in trees per hour?
[tex]\\ \rm\Rrightarrow \dfrac{2}{3}\times 2[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{2(2)}{3}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{4}{3}[/tex]
Answer:
1/1/3 of a tree
Step-by-step explanation:
30 minutes = 2/3 of a tree
Since 1 hour = 60 minutes,
60 minutes = 2/3 × 2
= 4/3
= 1/1/3 of a tree
For the polynomial, (((x^3)+3x+2)/5)+((5x^2)/2)-(x^6)
a. Determine the coefficient of x^3.
b. Determine the coefficient of x^6.
c. Determine the constant of the term
polynomial.
d. Determine the degree of the polynomial.
Answer:
Hello,
Step-by-step explanation:
[tex](((x^3)+3x+2)/5)+((5x^2)/2)-(x^6)\\\\=\dfrac{x^3}{5} +\dfrac{3*x}{5} +\dfrac{2}{5} +\dfrac{5*x^2}{2} -x^6\\\\\\=-x^6+0x^5+0x^4+\dfrac{x^3}{5} +\dfrac{5*x^2}{2} +\dfrac{3*x}{5}+\dfrac{2}{5} \\\\\\a)\ \dfrac{3}{5} \\\\b)\ -1\\\\c)\\degree=6\\[/tex]
What do you know about the slope when X2 - X1 = 0 ?
A. The slope is undefined.
B. The slope is zero.
C. The slope is positive.
D. The slope is negative.
Answer:
B
Step-by-step explanation:
The slope is zero is the answer
If tanx+cotx=2 then Cosx =?
Answer:
sqrt(2)/2
Step-by-step explanation:
tan(x) and cot(x) are both 1 when x=pi/4 and since 1+1=2, then we just need to evaluate cos(pi/4) which equals sqrt(2)/2.
this math question is about logarithm
Answer:
(k+2h)/(k+h)
Step-by-step explanation:
log 6 12 = (log a 12)/(log a 6) ( Log base change property)
log a 12 = log a (3*4) = log a 3 + 2*log a 2 = k+2h
log a 6 = log a (2*3) = log a 3 + log a 2 = k+h
log 6 12 = (k+2h)/(k+h)
answer + explanation would be appreciated
Answer:
-2 + 2i
Step-by-step explanation:
[tex](1 + i)^{3}[/tex]
i = [tex]\sqrt{-1}[/tex]
[tex](1 + \sqrt{-1})^3[/tex]
[tex][(1 + \sqrt{-1})(1 + \sqrt{-1})] (1 + \sqrt{-1})[/tex]
distribute the first 2 expressions
(1 + 2[tex]\sqrt{-1}[/tex] - 1 ) [tex](1 + \sqrt{-1})[/tex]
distribute
1 + 2[tex]\sqrt{-1}[/tex] - 1 +
combine like terms
-2 + 2 [tex]\sqrt{-1}[/tex]
which is -2 + 2i
Last year there were 45 memebers of the tennis club at Marks Middle school. This year although the number of boys increeased by 20%, the number of girls decresed by 20%, the total numbers decresed by 1. Find how many boys anf girls are in the tennis club this year.
Answer:
24 boys & 20 girls
Step-by-step explanation:
Last year:
Number of boys = x
Total number = 45
Number of girls = 45 - x
An increase of 20% is the same as multiplying by 1.2
A decrease of 10% is the same as multiplying by 0.8
This year:
New number of boys: 1.2x
New number of girls: 0.8(45 - x)
New total number = 45 - 1 = 44
1.2x + 0.8(45 - x) = 44
1.2x + 36 - 0.8x = 44
0.4x + 36 = 44
0.4x = 8
x = 20
Last year there were 20 boys and 25 girls.
This year there are 20 * 1.2 = 24 boys
and 44 - 24 = 20 girls
Answer: 24 boys & 20 girls
=
-1
Use the distributive property with factoring to find the equivalent expression.
33x + 22y = 11 X + y
Answer:
22x + 21y = 0
Step-by-step explanation:
33x + 22y = 11x + y
Subtract y from both sides.
33x + 21y = 11x
Subtract 11x from both sides.
22x + 21y = 0
If BC = 15, BE = 6, DC = 12, and AD = 8,
then segment DE is parallel to segment
AB.
PLEASE ANSWERRR! FIRST CORRECT ANSWER WILL VOTE BRAINLIEST
For a certain value of k, the system
x + y + (k-1) = 2,
6x + 2y - 3z = 1
kx - z = -3
has no solutions. What is this value of k?
In matrix form, the given system is written as
[tex]\begin{bmatrix}1&1&0\\6&2&-3\\k&0&-1\end{bmatrix}\begin{bmatrix}x\\y\\z\end{bmatrix}=\begin{bmatrix}3-k\\1\\-3\end{bmatrix}[/tex]
and the system has no solution is the coefficient matrix is singular. The determinant is
[tex]\begin{vmatrix}1&1&0\\6&2&-3\\k&0&-1\end{vmatrix} = -3k+4[/tex]
and this is zero when k = 4/3.
On the other hand, in case you are missing a factor of z in the first equation, so that the system should read
x + y + (k - 1) z = 2
6x + 2y - 3z = 1
kx - z = -3
reframing it as a matrix equation gives
[tex]\begin{bmatrix}1&1&k-1\\6&2&-3\\k&0&-1\end{bmatrix}\begin{bmatrix}x\\y\\z\end{bmatrix}=\begin{bmatrix}2\\1\\-3\end{bmatrix}[/tex]
Then the determinant of the coefficient matrix is
[tex]\begin{vmatrix}1&1&k-1\\6&2&-3\\k&0&-1\end{vmatrix} = -2k^2-k+4[/tex]
and the determinant is zero at two values, k = (-1 ± √33)/4.
10. A local park is located on a triangular piece of land. What is the area of the park to the nearest tenth? (1 point) S 75 m 40° R 150 m T Area = m2
Answer:
Area equals to 3615.7
Step-by-step explanation:
So first in order to get the area of the triangle you need to have it’s height and base. We know the base is 150m(you can choose another base too), and we need to get the height.
In order to get the height we can see the triangle as two right triangle spreaded by the height. Now looking at the right triangle at the left hand, realized this triangle has a 40, a 90 degree angle and a side of 75.
Next using the law of sines, and plot the numbers in:
a = b(sinα/sinβ)=75(sin(40°)/sin(90°))≈48.20907
Now calculat the area;
Area = 1/2 bh = 1/2 (150x48.20907) ≈ 3615.6765
I attached a graph below that may help to see will all the things go
The student council needs to make a banner for the seventh-grade dance. The dance committee decides that the length of the banner will be 16 feet. What are the possible widths of the banner if the students can use no more than 40 square feet of material? Find the solution set of the inequality 16w ≤ 40 to solve the problem.
A rectangle with a length of 16 feet and width of w.
What are the possible widths of the banner if the students can use no more than 40 square feet of material?
at most 2.5 ft wide
less than 2.5 ft wide
at least 0.4 ft wide
no more than 0.4 ft wide
Answer: Choice A) at most 2.5 ft wide
Work Shown:
16w ≤ 40
w ≤ 40/16
w ≤ 2.5
This says that the banner must be at most 2.5 ft wide (choice A)
In other words, the largest the width can get is w = 2.5; we can think of this as the ceiling value.
Answer: its a
Step-by-step explanation:
brainly stop taking my answer down pls
Express the following in the radian measure 240degree
, -315degree
, 570degree
ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!
Answer:
55%
Step-by-step explanation:
You have $95 in your bank account. Each week you plan to deposit $9 from your allowance and $10 from your paycheck. The equation b=95+(10+9)w gives the amount b in your account after w weeks. How many weeks from now will you have $220 in your bank account?
There will be $220 in the account after ___ weeks
Answer:
7 weeks
Step-by-step explanation:
b=95+(10+9)w
Combine like terms
b=95+(19)w
Let b = 220
220 = 95 + 19w
Subtract 95 from each side
220-95 = 19w
125 = 19w
Divide each side by 19
125/19 = w
6.578947368
Round up
After 7 week
2. For all real numbers x and y, (2x + 3y)² = ?
Answer:
Step-by-step explanation:
(a + b)² = a² + 2ab + b²
a = 2x ; b = 3y
(2x)²= 2x * 2x = 4x²
(3y)² =3y * 3y = 9y²
(2x + 3y)² = (2x)² + 2 *2x*3y + (3y)²
= 4x² + 12xy + 9y²
The volume of this cube is 2.744 cubic meters. What is the value of t?
Answer:
t = 1.4 meters
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
2.744 = t^3
Take the cube root of each side
(2.744) ^ 1/3 = t^3 ^ 1/3
1.4 = t
* if my savings of $x grows 10% each year how much money would i have in 1 year
I WILL MARK BRAINLIEST
Answer:
10/100*$x
Step-by-step explanation:
You will multiply the $x by 10%
I need a written response to solve all 4 steps
a. Find the slope of the line that passes through the points (2,-5) and (-2,3).
b. What are the slope and y-intercept of the equation 2x - 5y = -10?
c. Find the x value so that the line through the points (x,-9) and (0,1) has a slope of -4.
d. Write the equation of a line that passes through the point (-1,5) and has a slope of -7. Your answer should be given in the form y = mx + b.
Answer:
a. -2
b. s = 2 and y = -5
c. (2.5, -9)
d. -7x - 2
Step-by-step explanation:
a. In the image, I have used rise over run, which is -8/4 or -2.
b. slope formula is mx + b = y, where m is slope and b is the y-intercept. In the equation 2x - 5y = -10, 2 is the slope and -5 is the y-intercept.
c. Plug in all given numbers into an equation and the ones you do not have will be in the points you need it to be. Once you graph the equation you will receive (2.5, -9).
d. y = mx + b
5 = (-7)(-1) + b
5 = 7 + b
-2 = b
y = -7x - 2
Will Mark Brainlest Help pls
Answer:
Hello,
[tex]\begin{bmatrix}-2&2\\3&5\\\end{bmatrix}\\\\[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}2&3\\5&7\end{bmatrix}-A=\begin{bmatrix}3&1\\-2&-3\end{bmatrix}+\begin{bmatrix}1&0\\0&1\end{bmatrix}\\\\\\\begin{bmatrix}2&3\\5&7\end{bmatrix}-A=\begin{bmatrix}2&3\\5&7\end{bmatrix}-\begin{bmatrix}4&1\\-2&-2\end{bmatrix}\\\\\\A=\begin{bmatrix}-2&2\\3&5\end{bmatrix}\\\\[/tex]
Find the lateral area of this square
based pyramid.
10 in
5 in
Answer:
The lateral area of this square pyramid is 100 in^2
Step-by-step explanation:
The lateral area of a polyhedron is the added area of all lateral faces (faces on the side) excluding the bases.
In this case, the lateral sides of the square pyramid are the 4 triangular faces on the sides.
AREA OF ONE TRIANGULAR FACE (given by the formula 1/2 x bh):
1/2 x 10 x 5 = 25
Multiply that by 4 since all 4 triangular faces are similar:
25 x 4 = 100
So the lateral area of the square pyramid is 100 in^2.
Please rate my answer once you know its score! :DD
Insert seven rational numbers between 2 and 3.
Answer:
5/2, 7/3, 9/4, 11/5, 13/6, 15/7,17/8
Step-by-step explanation:
Answer:
2/1
2.5
2whole number6/4
It's algebra I need help with 6-8/(-4) if you could please put the order of operations down to that would be so helpful.[tex]6-8/(-4)[/tex]
NO LINKS
Answer:
Step-by-step explanation:
Do the subtraction in the numerator first. 6 - 8 = -2. So now we have
[tex]\frac{-2}{-4}[/tex] negative divided by a negative is a positive and that fraction reduces to
[tex]\frac{1}{2}[/tex]
Which number is in the middle of -7 and 15?
Answer:
the answer os eleven
Step-by-step explanation:
As oyu see the half way number is 4 higher that 7 and 4 lower than 15.
write two inequalities to compare -2 and -18
Step-by-step explanation:
here's the answer to your question
How many significant digits are there in the number 1.00250? OA) 7 OB) 6 OC) 5 OD) 4
Answer:
OB
Step-by-step explanation:
start counting from 1
Then your significant digit is 6
Help ASAP
√3 (5 + √2)
Answer:
5*sqrt(3)+sqrt(6)
Step-by-step explanation:
sqrt(3)*(5+sqrt(2))=5*sqrt(3)+sqrt(6)
Answer:
(5 x sqrt(3)) + sqrt(6)
Brainliest, please! (Almost an Ace!)
Step-by-step explanation:
Distribute the sqrt(3) through and get:
(5 x sqrt(3)) + (sqrt(3) x sqrt(2))
Next, we simplify.
(5 x sqrt(3)) + sqrt(6)
BRAINLEST IF CORRECT
Answer:
422.39
Step-by-step explanation:
[tex]A = \pi r^2\\A = 144\pi \\\\144\pi -30 = 422.39[/tex]
use a calculator for the above and round
