Answer:
3a^2 + 5a - 2
Step-by-step explanation:
(a + 2)(3a - 1)
a(3a - 1) + 2(3a - 1)
3a^2 - a + 6a - 2
subtract like terms
3a^2 + 5a - 2
Determine the area of a regular pentagon that has a perimeter of 22 cm in the apothem of 3 cm
============================================================
Explanation:
Refer to the diagram below. I've split the regular pentagon into 5 equal slices (as if it was a pizza). Each triangle is congruent.
The base of each triangle is 22/5 = 4.4 cm
The height of each triangle is the apothem 3 cm. The apothem stretches from the center to the midpoint of any given side. It's the red dashed line in the diagram.
The area of one of the triangles is base*height/2 = 4.4*3/2 = 6.6 square cm.
Since we have 5 identical triangles with this area, we have a total area of 5*6.6 = 33 square cm
Answer:
165
Step-by-step explanation:
The formula for the area of the pentagon is 5/2 × s × a.
5/2×22×3
5/2 × 66/1= 66÷2
=33
33×5=165
supplementary angles measure _____ degrees?
my answer
90°to 180°degrees
give your answer in detail plzz
Answer:
60% did not germinate.
Step-by-step explanation:
100% = 5
how many percent are 2 of of these 5 ?
2 = 2/5 × 5 = 2/5 × 100% = 40%
all the other seeds are then the rest of 100%.
100% - 40% = 60%
=>
60% of the seeds did not germinate.
but 40% did.
On the grid below, draw a right triangle with vertices at E (2,2), F(2,8), and G(10,8). Find the lengths of these three sides. If necessary, round to the nearest tenth
Answer:
The lengths of the sides are 6, 8 and 10.
Step-by-step explanation:
The vertices of a right angles triangle are E (2,2), F (2,8), and G (10,8)
The distance between the two points is
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
So, the lengths of the sides are
[tex]EF=\sqrt{(8-2)^2+(2-2)^2} = 6 \\\\FG=\sqrt{(8-8)^2+(10-2)^2} = 8 \\\\GE=\sqrt{(8-2)^2+(10-2)^2} = 10 \\[/tex]
...yea i just need help (:
Answer:
2/3-4
3 1/3
-1*3.3=-3.3
-3 1/3 divided by 5/6
-4
so a
Hope This Helps!!!
Answer:
-2/3+4÷5/6
-2+12÷3÷5/6
10/3÷5/6
10/3x6/5
2/1x2/1
4/1
4
Step-by-step explanation:
hope this is helpful
What is the first step you should take to solve this equation:
3 (x − 2) = 2x + 7
Answer:
Distribute the 3 on the left hand side
Step-by-step explanation:
3 (x − 2) = 2x + 7
Distribute the 3 on the left hand side
3x -6 = 2x +7
Then subtract 2x from each side
At a certain time of day, a 9.5 meter flagpole casts an 28.5 meter shadow. At the same time of day, a neighboring tree casts a shadow that is 24 meters long. How tall is the tree?
a 14,67m
b 8m
c, 72m
d, 40m
Answer:
I think its c
Step-by-step explanation:
Type the correct answer in the box.
Use numerals instead of words. If necessary, use / for the fraction bar.
AB is parallel to CD, and EF is perpendicular to AB.
(AB,CD,EF and AB all have straight lines over them but my keyboard can't do that)
The number of 90° angles formed by the intersections of and the two parallel lines and is ___
.
Answer:
either 0 or 8, see the step by step for rationale pending the actual question
Step-by-step explanation:
two parallel lines will never intersect.
if it is mean to find the number of 90 degree angles of the two parallel lines and the perpendicular lines, the answer would be 8.
if two lines are perpendicular think of a + sign. there are four angles to make 360 degree so each must be 90 (and the definition of perpendicular).
since there are two parallel lines that intersection happens twice. so 8
pls help with the last part. if you need value of x then it's 80
NEED HELP PLS!!!
In circle B with \text{m} \angle ADC= 81m∠ADC=81, find the \text{m} \angle ABCm∠ABC.
A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has four identical components, each with a probability of .2 of failing in less than 1000 hours. The subsystem will operate if any two of the four components are operating. Assume that the components operate independently. Find the probability that a exactly two of the four components last longer than 1000 hours. b the subsystem operates longer than 1000 hours.
Answer:
a. 0.1536
b. 0.9728
Step-by-step explanation:
The probability that a component fails, P(Y) = 0.2
The number of components in the system = 4
The number of components required for the subsystem to operate = 2
a. By binomial theorem, we have;
The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) is given as follows;
P(Y = 2) = [tex]\dbinom{4}{2}[/tex] × 0.2² × 0.8² = 0.1536
The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) = 0.1536
b. The probability that the system last longer than 1,000 hours, P(O) = The probability that no component fails + The probability that only one component fails + The probability that two component fails leaving two working
Therefore, we have;
P(O) = P(Y = 0) + P(Y = 1) + P(Y = 2)
P(Y = 0) = [tex]\dbinom{4}{0}[/tex] × 0.2⁰ × 0.8⁴ = 0.4096
P(Y = 1) = [tex]\dbinom{4}{1}[/tex] × 0.2¹ × 0.8³ = 0.4096
P(Y = 2) = [tex]\dbinom{4}{2}[/tex] × 0.2² × 0.8² = 0.1536
∴ P(O) = 0.4096 + 0.4096 + 0.1536 = 0.9728
The probability that the subsystem operates longer than 1,000 hours = 0.9728
5
Drag the tiles to the correct boxes to complete the pairs.
Luke is driving from his house to the store. After driving 16 miles at a constant speed of 0.8 mile/minute, he realizes that he forgot his wallet. So,
he turns around and drives all the way back to his house at the same speed. The equation below models Luke's distance, in miles, from home as
he drives for t minutes.
d = -0.8t - 20 + 16
Using the given equation, match the number of minutes since Luke started driving from his house to his distance from the house.
12 minutes
27 minutes
31 minutes
7 minutes
10.4 miles on his return trip
5.6 miles on his trip to the restaurant
9.6 miles his trip to the restaurant
7.2 miles on his return trip
Answer:
10.4 miles on his return trip → 27 minutes
5.6 miles on his trip to the restaurant → 7 minutes
9.6 miles on his trip to the restaurant → 12 minutes
7.2 miles on his return trip → 31 minutes
Step-by-step explanation:
When solving, we note that on his trip to the restaurant, [tex]\left |t - 20 \right |[/tex] is a negative number, while it is a positive number on his return trip
1) At 10.4 miles on his return trip, we have;
[tex]d = 10.4 = -0.8 \cdot \left |t - 20 \right |+ 16[/tex]
Therefore;
(10.4 - 16)/(-0.8) = 7 = [tex]\left |t - 20 \right |[/tex]
t = 20 + 7 = 27
The number of minutes since Luke started driving from his house, t = 27 minutes
2) At 5.6 miles on his trip to the restaurant, we have;
[tex]d = 5.6 = -0.8 \cdot \left |t - 20 \right |+ 16[/tex]
Therefore;
(5.6 - 16)/(-0.8) = 13 = [tex]\left |t - 20 \right |[/tex]
Here, t is less than 20 (minutes), therefore, t - 20 is negative, we get
t - 20 = -13
∴ t = 20+ (-13) = 7
The number of minutes since Luke started driving from his house when he is 5.6 miles on his trip to the restaurant, t = 7 minutes
3) At 9.6 miles on his trip to the restaurant, we have;
[tex]d = 9.6 = -0.8 \cdot \left |t - 20 \right |+ 16[/tex]
Therefore;
(9.6 - 16)/(-0.8) = 8 = [tex]\left |t - 20 \right |[/tex]
[tex]\left |t - 20 \right |[/tex] is negative on his trip to the restaurant, therefore;
- [tex]\left |t - 20 \right |[/tex] = 8
t - 20 = -8
t = 20 - 8 = 12
The number of minutes since he started driving from his house to when he is 9.6 miles on the his trip to the restaurant, t = 12 minutes
4) At 7.2 miles on his return trip, we have;
[tex]d = 7.2 = -0.8 \cdot \left |t - 20 \right |+ 16[/tex]
Therefore;
(7.2 - 16)/(-0.8) = 11 = [tex]\left |t - 20 \right |[/tex]
t = 20 + 11 = 31
At 7.2 miles from his house on the return trip, t = 31 minutes
Khairul deposited $ 600 in a bank at the end of 2010 and another $ 400 in the same bank at the end of 2011. The bank offers simple interest at a rate of 3% per annum. Find the total amount he has in his bank at the end of 2013.
the answer is 1078 .
(But how )
Answer:
bat puro math pede history lng
What is the measurement of 0? 4 cm e 12cm o A. 4 radians o B. 3s radians o C. 3 radians o D. 4 radians
Answer:
Option (c).
The angle is given by 3 radian.
Step-by-step explanation:
Arc length = 12 cm
radius = 4 cm
The relation between the angle and the radius is
[tex]angle = \frac{arc length}{radius}\\\\angle =\frac{12}{4}\\\\angle = 3 radian[/tex]
Option (c) is correct.
Evaluate.
9+6²÷3=
whats the answer i want it in words pls
Answer:
21
Step-by-step explanation:
To solve this problem, we need to remember the order of operations. First, you would do 6×6 to get 36, and then 36÷3 to get 12. 9+12 is 21, so the answer is (in words) twenty-one.
Answer:
Twenty-one
Step-by-step explanation:
Follow PEMDAS:
9 + 6^2 / 3
9 + 36 / 3
9 + 12
21
But I put the answer above in standard form…
Hope this helps!
Which of the points are solutions to the inequality? Check all that apply.
(-3, 3)
(-2, -2)
(-1, 1)
(0, 1)
(2, 5)
Answer:
(-2,-2)
(0,1)
(2,5)
Step-by-step explanation:
(-3,3) and (-1,1) are not solution even though they lie on the line because the line is dashed and not solid
What is the lowest value of the range of the function
shown on the graph?
4+
oc
3
O-2
2
OO
O 3
3 45 x
-5 4 -3 -2 -11
12+
-3+
M
-5
Answer:
it's -2 because the lowest the the line is is at the -2 mark under 0
The lowest value of the range of the function is -2, as shown on the graph. The correct answer is an option (B).
What are the Maxima and Minima of a Function?The curve of a function has peaks and troughs called maxima and minima. A function may have any number of maxima and minima. Calculus allows us to determine any function's maximum and lowest values without ever consulting the function's graph.
The point is (3, -2), where the function reaches its minimum value.
The y-coordinate of this point represents the lowest value of the range of the function.
Here, the y-coordinate is -2.
Thus, the lowest value of the range of the function is -2.
Learn more about the lowest value of the range here:
https://brainly.com/question/9384609
#SPJ7
can someone please help me with this???
Answer:
B is the correct answer pls mark me brainlist
can someone please help me with this?
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {A. \:-54}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
We have,
[tex]'m = 18'[/tex] and [tex]'a = - 3'[/tex]
Substituting the values of [tex]m[/tex] and [tex]a[/tex] in [tex]F=ma[/tex],
➺[tex]\:F = 18 \times - 3[/tex]
➺[tex] \: F = - 54[/tex]
Therefore, the value of F is [tex]\boxed{-54}[/tex].
Note:F = force
m = mass
a = acceleration.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
In a class of 25 students, 16 have dark hair, 10 have brown eyes, and 4 have both dark hair and brown eyes. If a student chosen at random from this class has dark hair, what
is the probability they also have brown eyes?
A 0.12
(B) 0.72
C 0.25
D 0.80
please answer this question! If you had trouble seeing it the question says to find the area of the rhombus.
d^1=10m;d^2=22m
Answer:
Area rhombus = 110
Step-by-step explanation:
The diagonals of a rhombus intersect at right angles.
They bisect each other.
So the diagonals form 4 right angle triangles whose legs are 1/2 of each of them.
Leg of 1 triangle = 1/2 * 10 = 5
Other leg of 1 triangle = 1/2 * 22 = 11
Area of 1 triangle = (1/2 ) * 5 * 11 = 1/2 * 55 = 27.5
Area of all 4 triangles = 4 * 27.5
Area of all 4 triangles = 110
Area of rhombus = 110
Steffi is painting her house. She has calculated she needs 40 litres of paint in total. She has decided to mix pink paint. She will need 3 litres of white for every litres of red. How many litres of each colour will she need to buy?
Answer:
Red=10 Pink=30
Step-by-step explanation:
you said for every litres of red; therefore, you need 3 litres of pink paint. So the steps are like this 3+1(P+R) ........... you need 30 litres pink and 10 litres red
help please asap just the answers
[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]
[tex]a\:=\:2[/tex], [tex]b\:=\:-1[/tex] and [tex]c\:=\:-3[/tex]
7) [tex]3 {a}^{2} - b[/tex]
Plugging in the values of [tex]a[/tex] and [tex]b[/tex], we have
[tex] = 3( {2})^{2} - ( - 1)[/tex]
[tex] = 3(2 \times 2) + 1[/tex]
[tex] = 3 \times 4 + 1[/tex]
[tex] = 12 + 1[/tex]
[tex] = 13[/tex]
Hence, [tex]\boxed{ c. \:13 }[/tex] is the correct option.
8) [tex] {a}^{3} {b}^{3} - abc[/tex]
Plugging in the values of [tex]a[/tex] and [tex]b[/tex] and [tex]c[/tex], we have
[tex] = ({2})^{3} ( { - 1})^{3} - 2( - 1)( - 3)[/tex]
[tex] = (2 \times 2 \times 2)( - 1 \times - 1 \times - 1) - 2(3)[/tex]
[tex] = (8)( - 1) - 6[/tex]
[tex] = - 8 - 6[/tex]
[tex] = - 14[/tex]
Hence, [tex]\boxed{ d.\:-14 }[/tex] is the correct option.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
[tex] \huge\underline{\sf{\red{Problem:}}}[/tex]
7.) Detemine the value of [tex] \sf{ {3a}^{2} -b.}[/tex]
[tex] \huge\underline{\sf{\red{Given:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{a = 2}[/tex]
[tex]\quad\quad\quad\quad\sf{b = - 1}[/tex]
[tex]\quad\quad\quad\quad\sf{c = - 3}[/tex]
[tex] \huge\underline{\sf{\red{Solution:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶{3a}^{2} - b}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶{(3)( 2)}^{2} -( - 1)}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶3(4)-( - 1)}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶12-( - 1)}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶12 + 1 }[/tex]
[tex]\quad \quad \quad \quad ⟶ \boxed{ \sf{ 13}}[/tex]
[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]
[tex]\huge\quad \quad \underline{ \boxed{ \sf{ \red{7.)\:13}}}}[/tex]
8.) Find the value of [tex] \sf{ {a}^{3} {b}^{3} - abc.}[/tex]
[tex] \huge\underline{\sf{\red{Solution:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶ {a}^{3} {b}^{3} - abc}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶{(2)}^{3} {( - 1)}^{3} - (2)( - 1)( - 3)}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶{(8)}{( - 1)} - ( - 2)( - 3)}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶{( - 8)} - ( 6)}[/tex]
[tex]\quad\quad\quad\quad ⟶\boxed{\sf{ - 14}}[/tex]
[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]
[tex]\huge\quad \quad \underline{ \boxed{ \sf{ \red{8.)-14}}}}[/tex]
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
#CarryOnLearning
[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]
What are the possible degrees for the polynomial function?
Answer:
degrees of 5 or greater
Step-by-step explanation:
peaks counted are 5
Which graph represents viable values for y = 2x, where x is the number of pounds of rice scooped and purchased from a bulk bin at the grocery store and y is the total cost of the rice?
Answer:
No solution is possible from the information provided
Step-by-step explanation:
When you post a question that starts with "which graph"
it's necessary to include the graphs
Answer:
The answer is Graph A.
Step-by-step explanation:
Help please! Please do not leave random answers or links
Answer:
12.5%
Step-by-step explanation:
There are 8 equal sized slices
1 slices is yellow
P(yellow) = number of yellow slices/ total number of slices
= 1/8
=.125
= 12.5%
Answer:
12.5%
Step-by-step explanation:
Probability = favorable outcomes / possible outcomes
There are 8 possible outcomes
And 1 favorable outcome ( the 1 yellow portion )
So the probability of the spinner landing on yellow is 1/8 which can also be written as a percentage (12.5%)
2. Round off the following numbers to two decimal places:
b) 4,5873
c) 32,095
a) 56,3456
d) 13,997
Answer:
I think you mean significant figures
Step-by-step explanation:
460003200056000014000Which expression is equivalent to -51 - (-60)−51−(−60)
Answer:
18
Step-by-step explanation:
Always remember negative x negative = positive
-51-(-60)-51-(-60)
-51+60-51+60
9+9
18
I don't know what are the expressions but try yourself
Believe in yourself you can do it
In the image, two circles are centered at A. The circle containing B was dilated to produce the circle containing B′. What is the scale factor of the dilation? A. 1 B. 2 C. 0.5 D. -0.5In the image, two circles are centered at A. The circle containing B was dilated to produce the circle containing B′. What is the scale factor of the dilation? A. 1 B. 2 C. 0.5 D. -0.5
Answer:
C. 0.5
Step-by-step explanation:
The diameter of B is from -2 to 2, which = 4 units.
The diameter of B' is from -1 to 1, which equals 2 units.
2/4 = 1/2 = 0.5 scale factor.
HELP I NEED HELP FAST. ILL MARK YOU BRAINLIEST.
She plays soccer and golf for a total of 125 minutes:
s + g = 125
She plays soccer 45 minutes more than she plays golf:
s = g + 45 this is for A
B= 40 minutes of golf everyday
C= Yes, because in fact, she plays 85 minutes of soccer everyday, and 85 is greater than 80, so yes she CAN play 80 minutes of soccer every day. Perhaps they meant possible to spend ONLY 80 minutes, then NO, that wouldn't be possible, because then by playing 45 minutes more soccer than golf, she wouldn't have played enough to have 125 total minutes of total play. Technically the way the question is worded, the answer is yes.
I hope this helps!