4) -0.3 = -1/3 < -1/7 since the bigger a negative number is the less positive it is. 1/8 is positive so it is clear that it should be placed last. & thus do all options this way.
5) B
Area of a triangle = ½ bh.
where b = base &
h = height.
Area of outer shape = (½ x 16 x 12) in^2.
= 96 in^2.
Area of unshaded inner shape = (½ x 3 x 4) in^2.
= 6 in^2.
Area of shaded region = (96 – 6) in^2.
= 90 in^2.
OMG I'M HAVING A BRAIN FART AND CAN"T SOLVE THIS FOR THE LIFE OF ME. HELPPPP!
Answer:
Step-by-step explanation:
Because a square has 4 equal sides:
P = 4x
A = [tex]x^{2}[/tex]
Step 1. Substitute 4x into perimeter equation
[tex]P=\frac{4x^2+4}{x^2-2x+1}[/tex] (original P equation)
[tex]4x=\frac{4x^2+4}{x^2-2x+1}[/tex] (substitute P = 4x)
Step 2. Solve for x[tex]4x(x^2-2x+1)={4x^2+4}[/tex] (multiply denominator on both sides)
[tex]4x^3-8x^2+4x={4x^2+4}[/tex] (distribute 4x)
[tex]4x^3-12x^2+4x-4=0[/tex] (combine like terms, set = to 0)
[tex]4(x^3-3x^2+x-1)=0[/tex] (factor)
Continue using quadratic formula to find x
Step 3. Plug x into area equation, [tex]x^{2}[/tex]Hope this helps! Cannot finish answer right now, so sorry
side=Perimeter/4
side:-
[tex]\\ \rm\Rrightarrow \dfrac{4(x^2+1)}{4(x^2-2x+19}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{x^2+1}{x^2-2x+19)}✓/tex]
Area=side ²
[tex]\\ \rm\Rrightarrow \left(\dfrac{x^2+1}{x^2-2x+19}\right)^2[/tex]
Ivanna needs to buy some pencils. Brand A has a pack of 36 pencils for 8.52 . Brand B has a pack of 48 pencils for 9.98 . Find the unit price for each brand. Then state which brand is the better buy based on the unit price. Round your answers to the nearest cent.
Answer:
Brand B is better
Step-by-step explanation:
Brand A's unit price is $0.24
Brand B's unit price is $0.21
The Furnace Creek Airport in Death Valley, California, has an elevation of 64 meters below sea level. The lowest point in New Orleans, Louisiana, has an elevation of -2 meters. What is the difference between the elevation in New Orleans and the elevation at the Furnace Creek Airport?
Answer:66 meters
Step-by-step explanation:
just change the negative to a positive and add them together. It would be 66.
Given the box plots below, what is the median of group B? Comparing Box Plots Worksheet Question 8 options: 50 min 65 min 40 min 5 min
Answer:
40
Step-by-step explanation:
I answered by simply looking at the equation
The cpi is currently 153. if a coffee maker costs $31.90 today, how much did one cost in 1983, to the nearest cent? a. $20.85 b. $21.20 c. $26.60 d. $48.81
its C
One coffee maker's cost in 1983 was $20.85 if the current CPI is 153 option (a) is correct.
It is given that the CPI is currently 153 if a coffee maker costs $31.90 today. It is required to find how much did one cost in 1983.
What is CPI?It is defined as the tool to measure inflation that indicates between two periods how much cost is increased. It can be represented by [tex]\rm CPI_t[/tex] for the given time 't'
The formula for finding the CPI:
[tex]\rm CPI_t = \frac{C_t}{C_0}\times 100[/tex]
Where [tex]\rm c_t[/tex] is the cost in the current market
[tex]c_0[/tex] is the cost at the given period.
We have in the question:
[tex]\rm c_t = \$31.90\\\\\rm CPI_t = 153[/tex]
Putting these values in the CPI formula, we get:
[tex]\rm 153= \frac{31.90}{C_0}\times 100\\\\\rm c_0 = \frac{3190}{153} \\\\\rm c_0 = \$20.84 \approx \$20.85[/tex]
Thus, one coffee maker's cost in 1983 was $20.85 if the current CPI is 153.
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Suppose that 16 inches of wire costs 48 cents.
At the same rate, how much (in cents) will 47 inches of wire cost?
Maggie takes three electives art, Spanish and creative writing She calculated the mean absolute deviation of the points she earned throughout the year in each class art: mean absolute deviation of 2.1 Spanish: mean absolute deviation of 0.8
creative writing: mean absolute deviation of 2.7
In which elective were her scores the most spread out?
creative writing
art
Spanish
Creative writing had the largest mean absolute deviation of 2.7, therefore, the elective where her scores are most spread out is: creative writing.
What is the Mean Absolute Deviaton?The mean absolute deviation is a measure of variability of a data distribution, which describes the average distance of each data value and the mean of the data set.
The larger the mean absolute deviation, the more spread out the data points are from the mean of the data set.
Therefore, since creative writing had the largest mean absolute deviation of 2.7, therefore, the elective where her scores are most spread out is: creative writing.
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Answer: creative writing
Step-by-step explanation: I did k12 and got 100% Good Luck i hope this helps man. please give me brainiest I'm trying my best to help everyone. thanks :)
It is given that AB CD Identify the postulate that proves the triangles are congruent
Answer:
i can't see the multiple choice
Step-by-step explanation:
angle c and b are equal
angle a and d are equal
and you have a common angle o
and ab = cd
The triangles ΔAOB and ΔDOC are congruent to each other by SSS and SAS postulates. Then the correct option is A.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
It is given that AB || CD. The side AB is congruent to the side CD.
The line AD and BC intersect at the mid-point. Then the line segment AO and OD will be congruent and the line segment CO and OB will be congruent.
And the angle ∠AOB and ∠COD will be congruent because they are vertically opposite angles.
The triangles ΔAOB and ΔDOC are congruent to each other by SSS and SAS postulates. Then the correct option is A.
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The runner completed 26.2 miles in 4 hours. How far did he run in 1 hour?
Answer:
6.55 miles
Step-by-step explanation:
26.2 miles in 4 hours means 6.55 each hour adds up to the total.
Do ---> 26.2 divided by 4 to get hourly miles = 6.55
The 40 and 50 degree angles are?
Answer:
40 degrees is acute, 50 is also acute and they both make up a right angle (90 degrees)
Step-by-step explanation:
the rectangle shown has a perimeter of 56 cm and the given area. it's length is 8 more than three times it's width. write and solve a system of equations to find the dimensions of the rectangle.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
Assume width of rectangle be " x ", length = 3×width + 8 = 3x + 8 ~
Now, Perimeter of rectangle is :
[tex]\qquad \sf \dashrightarrow \:2(l + w) = 56[/tex]
[tex]\qquad \sf \dashrightarrow \:2(3x + 8 + x) = 56[/tex]
[tex]\qquad \sf \dashrightarrow \:2(4x + 8) = 56[/tex]
[tex]\qquad \sf \dashrightarrow \:4x + 8 = 56 \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \:4x + 8 = 28[/tex]
[tex]\qquad \sf \dashrightarrow \:4x = 28 - 8[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 20\div 4[/tex]
[tex]\qquad \sf \dashrightarrow \:x =5 \: cm[/tex]
Hence, width = x = 5 cm
[tex]\qquad \sf \dashrightarrow \:l = 3w + 8[/tex]
[tex]\qquad \sf \dashrightarrow \:l = 3(5)+ 8[/tex]
[tex]\qquad \sf \dashrightarrow \:l = 15+ 8[/tex]
[tex]\qquad \sf \dashrightarrow \:l =23 \:cm[/tex]
And, length = 26 cm
What is the following sum? 4 (RootIndex 5 StartRoot x squared y EndRoot) 3 (RootIndex 5 StartRoot x squared y EndRoot).
The sum of the given data will be 7 ⁵√x²y. The result or answer we obtain when we count two or more digits or terms is known as a sum.
What is the sum?The result or response we obtain when we add two or more numbers or terms is known as a sum.
The given terms will be
[tex]\rm x= 4\sqrt[5]{x^2y} \\\\ \rm y= 3\sqrt[5]{x^2y}[/tex]
The sum is found as;
S= x+y
[tex]\rm S=\rm 4\sqrt[5]{x^2y} + 3\sqrt[5]{x^2y} \\\\ \rm S=\sqrt[5]{x^2y} (4+3) \\\\ \rm S=7\sqrt[5]{x^2y}[/tex]
Hence the sum of the given data will be 7 ⁵√x²y.
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Answer:
Its C
Step-by-step explanation:
TRUST>>>
Let x be a random variable with uniform distribution on (100,200). Find the probability that x assumes a value
The probability that x assumes a value less than three standard deviations from the mean is 1.
What is uniform distribution?The continuous uniform distribution, sometimes known as the rectangle distribution, is a family of symmetric probability distributions in probability theory and statistics.
We have:
x be a random variable with uniform distribution on (100,200).
It is required to find the probability that x assumes a value less than three standard deviations from the mean.
From the empirical rule, the data falls within three standard deviations of the mean in 99.7% of cases.
99.7% data from the (100, 200) is up to 199.7
Total number of favourable outcomes = 99.7
The probability that x assumes a value less than three standard deviations from the mean:
= 99.7/(200-100)
= 0.997 ≈ 1
Thus, the probability that x assumes a value less than three standard deviations from the mean is 1.
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Question 6
Luna mixes 2 cup of orange juice with a cup of cranberry juice. She gives
cup of the juice to Mags. How much is left in Luna's glass?
Answer:
nothing
Step-by-step explanation:
2cups= orange juice
1 cup= cranberry juice
nothing the orange and juice was used to make the mixture of juice
Answer:
its nothing??
Step-by-step explanation:
you gave it to mags so its nothing
i'm burfunkled right now
Answer: what grade is this
Step-by-step explanation:
The surface of a rectangular table has a perimeter of 12 feet and an area of 8 square feet.
What are the dimensions of the table?
feet by
feet
no
Submit
1-2
17.4.3
291
Answer:
17.4.3
Step-by-step explanation:
17.4.3
the surface area?
A - 216
B - 336
C - 438
Answer:
B
Step-by-step explanation:
Triangle ABC has an area of 25 square feet and a perimeter of 65.5 feet. △ABC is dilated by a factor of 5/2 to create △DEF. \
Calculate the area of ABC using the scale factor.
Calculate the perimeter of DEF using the scale factor.
Answer:
Solution. To find the perimeter of \triangle ABC we use the Pythagorean Theorem which tells us that |AB|^2 = |AC|^2 + |BC|^2. Since |AC| = 5 and |BC| = 12 we find that |AB| = \sqrt{169} = 13. The perimeter of \triangle ABC is then 5 + 12 + 13 = 30 units.
Hi built the bookshelf shown below the bookshelf is 4 feet tall with a solid board on the back and each shelf measures 18 inches deep by 24 inches across if Chi wants to paint all the surfaces including the underside of each shelf and the base as well as both sides of the bookshelves back and sides how many square feet will paint
it should be 137
if not am sorry. am not the best at math
You have a job as a teacher. Your salary for the first year is $37,185.
You will receive a 6% increase every year.
Part A Would an arithmetic or geometric sequence best model this situation?
- Arithmetic
- Both
- Neither
- Geometric
Part B: What explicit formula models this situation?
- an=37185*(.06)^n-1
- an=37185*(1.06)^n-1
- an=6*(37185)^n-1
- an=6*(1.06)^n-1
Part C: How much will your salary be at the start of your 5th year?
- $37,192.57
- $42,564.25
- $46,945.21
- $223,110.00
Answer:
a). Geometric sequence
b).
c). $46945.21 will be the salary at the start of 5th year.
Step-by-step explanation:
My salary for the first year is $37185.
If I get an increase of 6% every year then the next year salary will be,
= $39416.1
Similarly in the second year my salary will be
= $41781.07
So the sequence becomes $37185, $39416.1 $41781.07.....
And there is a common ratio in each successive term 'r' = 1.06
a). Therefore, it's a geometric sequence.
b). Explicit formula for this sequence will be in the form of
Where t = duration in years
c). Salary at the start of 5th year,
= $46945.21
Step-by-step explanation:
Is the following number rational or irrational?
200
Choose 1 answer:
A
Rational
В B
Irrational
Answer:
A Rational
Step-by-step explanation:
Because 200 can be represented as 200/1, it shows that it can be made into a fraction unlike irrational numbers.
The diagram shows the entrance to a tunnel.
The circular arc has a radius of 3m and center O.
AB is horizontal and angle AOB = 120°.
During a storm the tunnel filled with water, to the level shown by the shaded area in the diagram.
Calculate the shaded area.
Step-by-step explanation:
it filled up half the circle (up to the center point) - if we had a full circle. but a little bit is cut off (below AB).
what we see is that the shaded area is the sum of the area of the triangle AOB and 2 equally sized circle segment areas left and right of AOB.
since we are dealing with a half-circle, we have 180° in total. 120° are taken by AOB, so, that leaves us with 180-120 = 60° for both circle segments (so, one has an angle of 30°).
and 2×30° = 1×60°, so we can calculate the area of one 60° segment instead of two 30° segments.
AOB is an isoceles triangle (the legs are equally long, and therefore also the 2 side angles are equal).
the area of this triangle AOB is
1/2 × a × b × sin(C) = 1/2 × 3 × 3 × sin(120) =
= 3.897114317... m²
a circle segment area of 60° is 60/360 = 1/6 of the full circle area (as a full circle = 360°).
so, it's area is
pi×r² × 1/6 = pi×3²/6 = pi×3/2 = 4.71238898... m²
so, the total area of the shaded area is
3.897114317... m² + 4.71238898... m² =
= 8.609503297... m²
The area of the shaded portion of the circle is A = 8.61 m²
What is a Circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The perimeter of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle
Given data ,
Let the area of the shaded region be A
Let the radius of the circle be r = 3 m
The triangle ΔAOB is an isosceles triangle with side lengths = 3m
The area of the triangle ΔAOB = ( 1/2 ) x 3 x 3 x sin (120)
On simplifying the equation , we get
The area of the triangle ΔAOB = 3.897 m²
Now ,
There are 2 sectors , with sector angle = 30°
The area of the two sectors = 2 x ( 30/360 ) x π x 3²
On simplifying the equation , we get
The area of the two sectors = 2 x 2.357
The area of the two sectors = 4.714 m²
Now ,
The area of the shaded region of circle A = area of the two sectors + area of the triangle ΔAOB
Substituting the values in the equation , we get
The area of the shaded region A = 4.714 + 3.897
The area of the shaded region A = 8.611 m²
Therefore , the value of A is 8.611 m²
Hence , the area is 8.611 m²
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x + y = 5 2x - y = 1 substitution method
[tex]x+y = 5~~...(i)\\\\2x-y = 1~~...(ii)\\\\\text{From (i):}\\\\x+y = 5\\\\\implies x = 5-y~~~.....(iii)\\\\\text{Substitute equation (iii) in equation (ii):}\\ \\2(5-y)-y = 1\\\\\implies 10 - 2y -y = 1\\\\\implies 3y = 9\\\\\implies y = \dfrac 93 = 3\\\\\text{Substitute y= 3 in equation (iii):}\\\\x= 5-3 = 2\\\\\text{Hence,}~ (x,y) = (2,3)[/tex]
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(2,3)
Equation Form:
x = 2, y = 3
Step-by-step explanation:
The triangles shown below must be congruent
True or false
Answer:
true is the correct answer
Step-by-step explanation:
hope it's help you
please mark me as brainlist answer
don’t even know how i got this far in geometry lol
[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]
Let's find the Area of sector ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{ \theta}{360} \times \pi{r}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{ 270}{360} \times \pi{6}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{ 3}{4} \times {36}^{} \pi[/tex]
[tex]\qquad \sf \dashrightarrow \:3 \times 9 \pi[/tex]
[tex]\qquad \sf \dashrightarrow \:27\pi \: \: ft {}^{2} [/tex]
Find the area of the shaded region.
Answer:
40.5 square meters
Step-by-step explanation:
the first thing you should do is find the area of the entire square
that is 9 * 9 which is 81
then you have to find the area of the triangle 9 * 9 * 1/2 which is 40.5
81 - 40.5 is 40.5 so the shaded region is 40.5
HELP PLEASE IM STRUGGLING
Step-by-step explanation:
Both are very correct,
[tex]5 { }^{ - 2} = \frac{1}{25} \: or \: \frac{1}{5 {}^{2} } [/tex]
because any number raised to the power of a negative
is given as
[tex]a {}^{ - x} = \frac{1}{a {}^{x} } [/tex]
if this helped pls give brainliest
Rewrite each equation without using absolute value for the given conditions.
y=|x-3|+|x+2|-|x-5| if x>5
Answer:
x>5, so
let x=6
6-3=3
+
6+2=8
-
6-5=1
3+8-1=10
answer=10
On a map with a scale of 1 : 50000 , he shortest distance from the railway line to the river is 2.1km. What distance on the map would represent this?
Answer:
105,000
Step-by-step explanation:
I'd the scale is 1 : 50,000, you would first take the 2.1km and multiply it by your 50,000. This will put your answer to scale coming in at 105,000 km on the map
Christopher opened a savings account with $1800 that pays no interest. He deposits an additional $90 each week thereafter. How much money would Christopher have in the account 42 weeks after opening the account?
Answer:
I think 5580
Step-by-step explanation:
You move the 1800 away for a bit so since it's 42 weeks you have to multiply 90 and 42 then add that to 1800.