Answer:
See below ~
Step-by-step explanation:
The perimeter of a figure refers to the sum of the side lengths of its edges.
Figure (a) : Triangle
⇒ P = 2a + 1 + 3a + a - 4
⇒ P = 6a - 3
⇒ P = 3 (2a - 1)
Figure (b) : Hexagon
⇒ P = 3m - 1 + 3n + n + m + 3m + 1 + 4n + m + n + 2
⇒ P = 3m + m + 3m + m + 3n + n + 4n + n + 1 - 1 + 2
⇒ P = 8m + 9n + 2
Figure (c) : Trapezoid
⇒ P = 2a + 3 + 3a - b + 2a + 2b - 4 + b + 4
⇒ P = 2a + 3a + 2a + 2b + b - b + 4 - 4 + 3
⇒ P = 7a + 2b + 3
Mr. Howell teaches four geometry classes.
On the last test he gave, 95% of the
students passed the test, 60% studied for
the test, and 48% both studied and passed
the test. If a student is chosen at random,
what is the probability that they passed the
test, given that they studied?
Answer:
0.8
Step-by-step explanation:
I'm just writing this
Write a rule for the input/output table
The table is a linear function, and the rule for the input/output table is f(x) = 1 + 3x
How to determine the rule?From the table, we can see that:
The output of the table is 1 more than 3 times the input
If the input is x, then the output y is:
y = 1 +3 * x
Evaluate
y = 1 + 3x
Hence, the rule for the input/output table is f(x) = 1 + 3x
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What is the slope of a line parallel to the line whose equation is x + y = -7. Fully
simplify your answer.
Answer:
slope = - 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
x + y = - 7 ( subtract x from both sides )
y = - x - 7 ← in slope- intercept form
with slope m = - 1
Parallel lines have equal slopes
then the slope of a line parallel to it is - 1
Question
The expressions x - 2 and x + 3 represent the length and width of a rectangle, respectively. If the area of
the rectangle is 24, what is the perimeter of the rectangle?
O 20
022
O24
O28
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's get it solved ~
We have been given length and width of a rectangle in terms of x ~
that is :
length = x + 3width = x - 2Area of the rectangle is given ~ i.e 24 unit²
Area of rectangle in terms of x is :
[tex]\qquad \sf \dashrightarrow \:(x - 2) \sdot(x + 3) = 24[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + 3x - 2x - 6= 24[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} +x - 6 - 24 = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} +x -30= 0[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + 6x - 5x - 30 = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{}( x + 6) - 5(x + 6)= 0[/tex]
[tex]f(x) = \begin{cases}x = - 6 \: \textsf{ \: if \:x + 6 = 0 } \\ \\ x = 5 \: \: \: \: \: \: \textsf{if \: x - 5 = 0} \end{cases}[/tex]
but since side of a rectangle can't be negative, we have to take value of x as 5
now, Perimeter of rectangle is ~
[tex]\qquad \sf \dashrightarrow \:2(width \: + \: length)[/tex]
[tex]\qquad \sf \dashrightarrow \:2(x - 2 + x + 3)[/tex]
[tex]\qquad \sf \dashrightarrow \:2(2x + 1)[/tex]
plug In the value of x ~
[tex]\qquad \sf \dashrightarrow \:2(2(5) + 1)[/tex]
[tex]\qquad \sf \dashrightarrow \:2(10 + 1)[/tex]
[tex]\qquad \sf \dashrightarrow \:2(11)[/tex]
[tex]\qquad \sf \dashrightarrow \:22 \: \: units[/tex]
So, the correct choice is b~
Find the volume of a sphere with a surface area of 23041 in2.
Answer:V≈3.29×105in³
Step-by-step explanation:im smart
1.1 How much profit did Jamie make if he sold 87 tickets for his treasure hunt? 1.2 Each horse ride lasts 5 minutes with a one minute pause in between for the next rider to get in the saddle. After every hour and a half the horses are given a rest. How many children can get an opportunity to ride a horse before they rest? 1.3 Give the grid reference of the treasure hidden south-east of the ice cream table. 1.4 If you are standing at the cup cakes table, in which direction must you walk to find the swings? 1.5 In which direction is the cold drinks table from the table where Sarah creates her balloon animals? 1.6 The distance on the map between the treasures hidden in block B2 and (3) (3 (2) (2 (4
Answer:
because the Gravity of the eart.
Step-by-step explanation:
the times is equarl and plus is to mynos sorna iloveyou mwa.
Johnny has to buy his mother a birthday present. If he spends $90 on 5 necklaces, how much was each necklace?
Answer:
$450
Step-by-step explanation:
Write the ratio 40.5 to 8.1 as a fraction
[tex]\cfrac{40.5}{8.1} ~~ \begin{cases} 40.5\implies \frac{405}{10}\\\\ 8.1\implies \frac{81}{10} \end{cases}\implies \cfrac{ ~~ \frac{405}{10} ~~ }{\frac{81}{10}}\implies \cfrac{405}{10}\cdot \cfrac{10}{81}\implies \cfrac{405}{81}\cdot \cfrac{10}{10} \\\\\\ \cfrac{5\cdot 81}{81}\cdot \cfrac{10}{10}\implies \cfrac{5}{1}\cdot \cfrac{81}{81}\cdot \cfrac{10}{10}\implies \cfrac{5}{1}\cdot 1\cdot 1\implies \cfrac{5}{1}[/tex]
Given: segment AB || segment DE, C is the midpoint of segment DB. Prove LABC = AEDE Fill in the missing statement for the proof.
Answer: B
Step-by-step explanation:
If the number of bacteria in a colony doubles every 475 hours and there is currently a population of 65 bacteria, what will the population be 950 hours from now???
The population (number of bacteria in the colony), 950 hours from that time, will be 260 bacteria
Determining the population of bacteriaFrom the question, we are to determine what the population will be after 950 hours
From the given information,
The number of bacteria in a colony doubles every 475 hours
The current population is 65 bacteria
∴ After 475 hours, the new population will be 2 × 65 bacteria
New population after 475 hours = 130 bacteria
After another 475 hours (that is, 950 hours from the initial time),
The population will be 2 × 130 bacteria = 260 bacteria
Hence, the population, 950 hours from that time, will be 260 bacteria
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The diagram below shows an angle, 0, graphed in the xy-coordinate plane. The segment RT is the initial side of the
angle, and segment RM is the terminal side. Segments RT and RM are radii of the unit circle centered at the origin
R(0,0).
T
R
M
The x-coordinate of point M is. What is the coordinating sine value for this angle of rotation?
SET
The coordinating sine value for this angle of rotation will be 4.189.
How to calculate the angle?From the complete information, in the unit circle, there's a point with -1/2 and the x value is 240°.
In this case, the coordinating sine value for this angle of rotation will be:
= (240 × π)/180
= (240 × 3.142) / 180
= 4.189
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A cookie factory uses 7/10 of a barrel of oatmeal in each batch of cookies. The factory used 4 9/10 barrels of oatmeal yesterday. How many batches of cookies did the factory make?
Write your answer as a fraction or as a whole or mixed number.
Answer: 7 BATCHES
Step-by-step explanation: to produce one batch it takes 7/10 of oatmeal
Now the factory uses 4 9/10 batch of oatmeal
1=7/10 OATMEAL
X=4 9/10 OATMEAL
X=(7/10*1)/4 9/10
=4 9/10*10/7
=490/70
=7
need to paint an entire cylindrical tank (all sides) it is 29ft long and 9ft diameter find the total surface area.
Fill in the missing number.
__% of 80 = 60
Answer:
it would be 75% :))
Answer:
75% of 80 = 60
Step-by-step explanation:
60/80 x 100
= 6/8
= 3/4
=75% of 100!
And that's how you find out the percentage.
What is the measurement at plot a?
Answer:
An Acre is a propduct of any rectangular plot of land giving a total of 4,046sqm OR 43,560sq ft. An Acre consist of 6 plots each measuring 6 x 120ft. In Lagos State, the standard size of a plot is 60 x 120ft (18m x 36m ie 648sqm), while in some other cities of the country, plots are measured in 50 x100ft.
Step-by-step explanation:
What are the solutions to the equation?
x²-12x+36=4
Enter your answers in the boxes.
x1 =
x2=
The roots of this equation equation are:
x1 = 4
x2 = 8
This sentence given in the statement of this question is: Equation of the Second Degree. There are a few ways to solve it, but let's calculate by the factorization method.
Equation given: x² - 12x + 36 = 4
First, let's multiply the 12 and 36 term into factors (factoring):x² - 12x + 36 = 4
12x ➯ 2x . x6
36 ➯ 6²
x² - 2x . x6 + 6²
( x - 6 )² = 4
Now we remove the parentheses and we will transform the exponent 2 into the square root of its original number:( x - 6 )² = 4
x - 6 = ±√4
x - 6 = ±2
We will organize the equation in two forms, being: positive and negative:x - 6 = ±2
x - 6 = -2
x - 6 = +2
Finally, let's calculate the first degree equation:x - 6 = -2
x = -2 + 6
x = 4
x - 6 = +2
x = 2 + 6
x = 8
Therefore, the correct results of this equation, will be:
x1 = 4
x2 = 8
A group of friends were working on a student film that had a budget of $1200. They used 62% of their budget on props. How much money did they spend on props?
ANSWER ASSAP PLEASE
Answer:
helloo!!!!
first up first.... i love your profile pic....
oh and the answer is 744..
please read the explanation... it always helps!!
Step-by-step explanation:
alrighty..
so the total budget is 1200, and we want to know how much is 62% of that
so you follow the percent formula as follows:
1200/100= 12 --> 12 x 62= 744 (which is the answer!)
I need this answer fast please and thank you
Answer:
1-nonlinear it is not consistant
2- a increasing, b constant, c decreasing
3- 'a' walking away from hole, 'b' rests, 'c' goes back to hole (b could also be gather, as in food)
4- 8cm per second
work 16cm/2sec=8cm/1sec
Step-by-step explanation:
Carter has to read a 295 page book for ELA class. He can read 5 pages in 15 minutes. He plans to read for 14 hour over the next week. Will he finish the book? Justify your answer.
By taking the product between the rate and the time, we will see that he does not finish the book.
Will he finish the book?We know that he can read 5 pages in 15 minutes. Then in one hour he can read 4 times that: 4*5 pages = 20 pages.
We conclude that Carter reads 20 pages per day, then, if he reads for 14 hours, then he reads a total of:
20*14 = 280
So he will read 280 pages in these 14 hours, which means that he will not finish the book.
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Help please I need an answer
Answer:
The other rectangle is 4 squares unit.
Step-by-step explanation:
Area Rectangle Formula: Area = Length * Width
Area R1 = 3 * 3 = 9
Area R2 = (7 - 3) * (3 - 2) = 4 * 1 = 4
Answer: Area of a rectangle that is 4 square units.
Step-by-step explanation:
See attached for my work.
The area of a rectangle can be found with A = L * W.
Need help on this one please
Answer:
y = 1/3 x + 4
Step-by-step explanation:
y = 1/3 x + 4
The y intercept is 4 (when x = 0 from the graph) and the slope is rise (1) and run (3).
PLEASE ANSWER 60 PTS
find all missing angles below.
Step-by-step explanation:
a=60°{vertically opposite angles}
b=180°-(52+110)°=18°
c=180°-(60+18)°=102°
d=180°-102°=78°
e=180°-(78+51)°=51°
Please help! 100points! A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.
an = 2(an − 1 + 4) and a1 = 5 (the n and n-1 is suppose to be a subscript, I just can't figure out how to make it like that)
Answer:
5, 18, 44, 96, 200
Step-by-step explanation:
Given
aₙ = 2(aₙ₋₁ + 4)a₁ = 5First term : 5
Second term : a₂ = 2(a₁ + 4)
a₂ = 2(5 + 4) = 2(9) = 18Third term : a₃ = 2(a₂ + 4) = 2(18 + 4) = 2(22) = 44
Fourth term : a₄ = 2(a₃ + 4) = 2(44 + 4) = 2(48) = 96
Fifth term : a₅ = 2(a₄ + 4) = 2(96 + 4) = 2(100) = 200
Hence, the first 5 terms of the sequence are :
5, 18, 44, 96, 200Answer:
5, 18, 44, 96, 200
Step-by-step explanation:
[tex]\textsf{Given sequence}: \quad a_n=2(a_{n-1}+4)[/tex]
[tex]\textsf{Given first term}: \quad a_1=5[/tex]
[tex]\implies a_1=5[/tex]
[tex]\implies a_2=2(a_{1}+4)=2(5+4)=2(9)=18[/tex]
[tex]\implies a_3=2(a_{2}+4)=2(18+4)=2(22)=44[/tex]
[tex]\implies a_4=2(a_{3}+4)=2(44+4)=2(48)=96[/tex]
[tex]\implies a_5=2(a_{4}+4)=2(96+4)=2(100)=200[/tex]
if 2⁴x ÷2x =64 find the value if x
with steps pls
Answer:
[tex]2 ^ { 4 } x \div 2x=64\\2^{4}x^{2}=128 \\16x^{2}=128 \\x^{2} = 128 \div 16\\x^{2}=8 \\x = \pm 2\sqrt{2}[/tex]
Answer: no solution or x ∈ Ø
Step-by-step explanation:
(2⁴ × x) ÷ 2x = 64
16x ÷ 2x = 64
[tex]\frac{16x}{2x} = 64[/tex]
8 = 64
8 = 64, x [tex]\neq[/tex] 0
8 = [tex]8^{2}[/tex]
2 = ㏒₈ 8
2 = 1
What is the simplified value of the exponential expression 16 superscript one-fourth? 2 4
For the exponential expression, [tex]16^{1/4}[/tex] the simplified value is 2.
How to simplify the exponential expression?
First, we need to remember a rule for exponential expressions, it says that:
[tex]x^{1/n} = \sqrt[n]{x}[/tex]
Then we can rewrite the given exponential expression as:
[tex]16^{1/4} =\sqrt[4]{16}[/tex]
So, we just need to find a number that when multiplied by itself 4 times, is equal to 16.
We know that:
2*2 = 4
Then:
2*2*2*2 = 2⁴ = 4*4 = 16
Then we can conclude that:
[tex]16^{1/4} =\sqrt[4]{16} = 2[/tex]
So the simplified value of the exponential expression is 2.
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A cylinder has a surface area of 1,890 m^2 and a radius of 9 cm what is the volume of the cylinder to the whole number
Answer:
The answer is ≈ 6214.78
(could put the sign because it wouldnt let me)
Step-by-step explanation:
Formulas:
[tex]A= {2} \pi r h + 2\pi r^{2}[/tex]
[tex]V=\pi r^{2}h[/tex]
[tex]V= A \frac{r}{2} -\pi r^{2} =1890 *\frac{9}{2} -\pi *9^{3} = 6214.77896[/tex]
rounded= 6214.78
~rere
A business supply store sells 10 pens for$8. What is the cost of 2 pens?
[tex]\begin{array}{ccll} pens&\$\\ \cline{1-2} 10 & 8\\ 2& x \end{array} \implies \cfrac{10}{2}=\cfrac{8}{x}\implies 5=\cfrac{8}{x}\implies 5x=8\implies x=\cfrac{8}{5}\implies x=1.6[/tex]
The table shows the longest known rivers on Earth. How much longer is the Nile than the Amazon?
Answer:
135 mile difference
Step-by-step explanation:
The nile is 4132 miles long according to Gogle and The amazon is 3997 miles long according to gogle
$300 to $200 is how much of an increase?
Answer:
$100
Step-by-step explanation:
$300-$200=$100
or
$200+$100=$300
Answer:
50%
Step-by-step explanation:
What percent of 6 is 9?
Answer:
150%
Step-by-step explanation:
half of 6 is three, and 9 has a value of 3 more than 6. meaning that 9/6 = 150%
Answer: [tex]150[/tex]% [tex]([/tex][tex]0.54[/tex][tex])[/tex]
Step-by-step explanation:
For fraction: divide 6 by 100 and remove the % sign.
{[tex]6[/tex]}% [tex]=\frac{6}{100}[/tex]
For decimal: move the decimal point 2 places to the left and remove the % sign.
{[tex]6[/tex]}% [tex]=0.06[/tex]
[tex]100[/tex]% [tex]=9[/tex]
[tex]\frac{6}{100}[/tex] × [tex]9=0.06[/tex] × [tex]9=0.54[/tex]
[tex]6[/tex]% [tex]of~9~is~0.54[/tex]