The required length of the longest side will be 28/5 cm in the triangle.
What is the perimeter of a triangle?The perimeter of a triangle is defined as the addition of the lengths of the triangle's three sides.
We have been given that the three sides of a triangle are in the ratio of 3:5:7
Let's assume the sides are 3x, 5x, 7x
Since the perimeter of the triangle is 12 cm.
So, 3x+5x+7x = 12
Apply the addition operation,
15x = 12
x = 12/15
Reduce the above fraction to the simplest form
x = 4/5
So, longest side = 7x = 28/5 cm
Thus, the required length of the longest side will be 28/5 cm in the triangle.
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help meeeeeeeeeee pleaseee
The time taken for the population to reach 26.6 million is 2 years while the population in year 2000 is 18.5 million.
What is the population growth?We can be able to define population growth as the process by which the population of an area is increasing. We know that the increase or the decrease of population would have to be an exponential function.
Given that we have the function A =18.5e^0.1708t where A is the population after a given time from year 2000 and t is the number of years after year 2000. It then follows that 18.5 million refers to the population of the united states as at year 2000.
We now have;
26.6 =18.5e^0.1708t
26.6/18.5 = e^0.1708t
1.44 = e^0.1708t
ln(1.44) = 0.1708t
t = ln(1.44)/ 0.1708
t = 2 years
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is -0.25 a rational number
Answer:
Yes
Step-by-step explanation:
Find the midrange for the following group of data items.
17, 14, 13, 12, 18, 15 11, 13
(Type an integer or a decimal)
I need alot of help with this question???
Answer:
no clue bro just help yourself
Step-by-step explanation:
add them
or multiply or divide or subtract and you'll get it
Suppose that 17 inches of wire costs 68 cents.
At the same rate, how many inches of wire can be bought for 44 cents?
Answer:
188 cents or $1.88
Step-by-step explanation:
We first want to find how many cents per one inch, and we do this by dividing 17 from 68 (68/17). This gets us 4 cents per inch. Now we need to multiply 4 by 47 (4 x 47). Now we get 188 cents. The equation for this would be y = 4x
5. How long will it take Debbie to save $4,000 for the down payment if she continues to add $75 every month?
Explain how you arrived at your answer.
Answer: 4.5 years or 54 months
Step-by-step explanation: Divide $4,000 by $75 a month to get 53.33 then round to 54. 54 months = 4.5 years.
As Jupiter and Earth travel along their respective orbits, what happens to the one-way communication time of radio waves carrying information between the two planets?
The one-way communication time between the Jupiter and Earth increases.
What are radio waves?Radio waves are a type of electromagnetic radiation with the longest wavelengths in the electromagnetic spectrum, typically with frequencies of 300 Ghz and below.
Given is that Jupiter and Earth travel along their respective orbits.
As the Jupiter and Earth travel along their respective orbits, they start to get apart from each other. This leads to an increase in one-way communication time.
Therefore, the one-way communication time increases as the Jupiter and Earth travel along their respective orbits.
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For options A– E choose all of the expressions that are equivalent to 3(4x + 3).
A. 12x + 3
B. 3(3 + 4x)
C. 7x + 6
D. 4x + 3 + 4x + 3 + 4x + 3
E. 12x + 9
The equivalent expression for the given expression is 3(4x + 3) will be 12x+3. Option A is correct.
What is distributive property?The distributive property is the property that expresses the distributive law of algebraic multiplication. Similarly, in polynomial expression we can use the distributive property, for example, we can write a(c+b) in the form of (ac+bc).
It is given that the expression is,3(4x + 3)
We have to find the equivalent expression for the given expression,
Expressions that function identically but have a different appearance are called equivalent expressions. When we enter the same value for the variable, two algebraic expressions that are equivalent will have the same result.
=3(4x + 3)
=12x+3
Thus, the equivalent expression for the given expression is 3(4x + 3) will be 12x+3. Option A is correct.
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A right angle has two equal sides. starting with the largest write the size of each angle in this triangle
The size of each angle of triangle, starting with the largest 90°, 45° and 45°.
What is a Triangle?Polygon which has three sides and three vertices is called as triangle.
Sum of all the angles of the triangle is 180°.
Given that a right angled triangle has two equal sides.
And the largest triangle of right angled triangle is 90°.
Right angled triangle which has two equal sides can be called right angled isosceles triangle.
And if one angle of isosceles triangle have angle is 90°. Then the rest of the two angle will be 45°.
Therefore, The rest of these two angles of the right angled triangle are 45⁰.
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1 Look at parallelogram EFGH shown below. 10+ y E 10-9-8-7-6-5-4-3-2 H 9996 NYMNA 7 512 45679 -10k What is its perimeter? F 34 G fin 6 IN 00 of 10
The perimeter of the parallelogram is 24 units
How to determine the perimeter of the parallelogramFrom the question, we have the following parameters that can be used in our computation:
The parallelogram is added as an attachment
When the number of units on each side of the parallelogram is counted, we have the following representation
EH = FG = 7 units
EF = GH = 5 units
The perimeter of the parallelogram is the sum of the side lengths
So, we have the following representation
Perimeter = EH + EF + FG + GH
Substitute the known values in the above equation, so, we have the following representation
Perimeter = 7 + 7 + 5 + 5
Evaluate the sum
Perimeter = 24
Hence, the perimeter is 24 units
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Use the Pythagorean theorem to find the side of the right triangle. Length 3m, With 2m+14, 5m
The side lengths of the triangle are 11.1, 21.4, and 18.5 units.
What is the Pythagorean theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
The given sides of the right triangle are 3m, 2m+14, and 5m.
As per the Pythagorean theorem, it follows:
(2m + 14)² = (3m)² + (5m)²
4m² + 196 + 56m = 9m² + 25m²
30m² -56m - 196 = 0
15m² - 28m - 98 = 0
[tex]m=\frac{-(-28)\pm\sqrt{(-28)^2-4(15)(-98)}}{2(15)}\\\\m=\frac{28\pm\sqrt{6664}}{2(15)}\\\\m =\frac{28\pm81.6}{2(15)}\\\\m=3.7\text{ or } m=-1.8[/tex]
Since the lengths cannot be negative, the value of m is m = 3.7.
Therefore, the side lengths of the triangle are:
3m = 3(3.7)
= 11.1
2m + 14
= 2(3.7) + 14
= 21.4
and,
5m
=5(3.7)
= 18.5
Hence, the side lengths of the triangle are 11.1, 21.4, and 18.5 units.
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Calculate how much you would have in 20 years if you saved $3,000 a year at an annual rate of 8 percent with the company contributing $750 a year. Use Exhibit 1-B. (Round time value factor to 3 decimal places and answer to the nearest whole dollar.)
Calculate how much you would have in 20 years if you saved $3,000 a year at an annual rate of 8 percent with the company contributing $750 a year. Use Exhibit 1-B. (Round time value factor to 3 decimal places and answer to the nearest whole dollar.)
Answer:69/100 you would save since it decreased in value
6z+2y=10 solve for y
Answer:
[tex]y = 5 - 3z[/tex]
Step-by-step explanation:
[tex]6z+2y=10[/tex]
divide by 2
[tex]3z + y = 5[/tex]
move the terms
[tex]y = 5 - 3z[/tex]
i need someone to solve this absolute value inequaility -3{x + 2} _< -9
Answer:
x > 1
Step-by-step explanation:
I am solving this equation, not including the "_" in the equation.
-3(x+2)<-9
Multiply both sides by -1 to reverse the inequality.
3(x+2)>9
Divide by 3
x+2>3
Subtract
x>1
What is the perimeter of quadrilateral BCDE? Round to the nearest tenth.
The perimeter of the quadrilateral is √2+√8+√5+√13
What is the perimeter of quadrilateral BCDE?We can use the distance formula to find the length of the segments that make up the quadrilateral.
We must find the length of the segments between the points (0,2),(1,3)(1,3),(3,1)(3,1),(2,−1)(2,−1),(0,2)
Recall the distance formula d=√(x2−x1)2+(y2−y1)2Applying this formula to the four pairs of points gives the following.
d=√(1−0)2+(3−2)2=√1+1=√2d=√(3−1)2+(1−3)2=√4+4=√8d=√(2−3)2+(−1−1)2=√1+4=√5d=√(0−2)2+(2+1)2=√4+9=√13
So the perimeter of the quadrilateral is √2+√8+√5+√13
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Question
Find the value(s) of a where the tangent line to the graph of the function f(x) = -11x + is parallel to the line
y = -19x - 18.
The value(s) of a where the tangent line to the graph of the function f(x) = -11x + is parallel to the line y = -19x - 18 is x=1,-1.
What is Slope of function?
Finding the rate at which the value of y (the dependent variable) changes in relation to x is what this method entails (independent variable). The slope itself identifies the line's slope and direction. Write the equation of the line in slope-intercept form to determine the slope from the equation. Utilize inverse procedures to find y, then write it as y=mx+b. Since the slope is the x variable's coefficient, or the number before x, you can thus readily observe the slope.
[tex]f(x)=-11 x+\frac{8}{x}$$[/tex]
Slope of function [tex]$\rightarrow f^{\prime}(x)=\frac{-21-8}{x^2}$[/tex]
Given line: y=-19 x-18
Slope [tex]$\rightarrow y^{\prime} \rightarrow-19$[/tex]
Since function and line both are parallel, hence slope of both will be equal.
[tex]$$\begin{aligned}-19 & =-11-\frac{8}{x^2} \\-8 & =\frac{-8}{x^2} \\x & =1,-1\end{aligned}$$[/tex]
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A sample of 200g of an isotope decays to another isotope according to the function A(t)=200 e⁰.⁰⁵⁴⁺
(a) How much of the initial sample will be left in the sample after 25 years?
(b) How long will it take the initial sample to decay to half of its original amount?
The amount of sample after 25 years and the half life are given as 51.8 g and 12.83 years respectively.
How to find the decay rate of an exponential function?An exponentially decaying function has a general form f(x) = (1 -r)ˣ, where r is called the decay rate. it can be found by having any two values of x for which f(x) is known.
The given function for the decay of an isotope is given as A(t) = 200[tex]e^-0.054t[/tex].
Now, the given problem can be solved as follows,
(a) The amount of sample after 25 years is given as,
A(25) = 200[tex]e^{-0.054 \times 25}[/tex]
= 200[tex]e^{-1.35}[/tex]
= 200 × 0.259
= 51.8
(b) The half life can be calculated as,
100 = 200[tex]e^{-0.054t}[/tex]
=> [tex]e^{-0.054t}[/tex] = 1/2
=> t = 12.83
Hence, the sample left after 25 years will be 51.8 g and it will take 12.83 years for the sample to decay to half of its amount.
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austin wants to pour 71.26 grams of salt into a container so far he has poured 23.1 How much more salt should Austin pour?
Answer:
Your answer is 48.16 grams.
Austin needs to pour 48.16 grams of salt.
Here the total amount of salt is 71.26 grams.
But he pours 23.1 grams.
So when we minus 71.26-23.1, it is equal to 48.16 grams.
Therefore, Austin needs to pour 48.16 grams of salt.
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please help with this it is a final
solve the inequality n minus four sevenths is greater than or equal to negative two thirds for n.
n is greater than or equal to negative 2 over twenty one
n is less than or equal to two over twenty one
n is greater than or equal to negative twenty six over twenty one
n is less than or equal to twenty six over twenty one
The solution to the inequality n - 4/7 ≥ -2/3 is (a) n ≥ -2/21
How to solve the inequality expression?From the question, we have the following parameters that can be used in our computation:
n minus four sevenths is greater than or equal to negative two thirds
By definition, inequalities are used to relate unequal values
Express the inequality properly
So, we have
n - 4/7 ≥ -2/3
Add 4/7 to both sides
So, we have
n ≥ -2/3 + 4/7
Evaluate the sum of the fractions
This gives
n ≥ -2/21
Hence, the solution is (a) n ≥ -2/21
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A plumber's helper is ordering drainpipe. Here is the list the
plumber gave him:
Fixture Feet of pipe
Kitchen sink 5
Bath tub 4
Lavatory 3
Laundry tub 5
Second lavatory 2
7:3/4
GREAT
ROOM
2/8 15 LITE
VAULT
What is the total number of feet of drainpipe he should
order?
The total number of feet that the plumber's helper should order for drain pipes is 19 feet.
How to find the number of feet of pipes?The plumber's helper has been given the list of places in the house that will need a drain pipe. The total number of feet of pipes that he should buy should therefore be the total number of pipes that each of these places in the house need.
The number of feet of pipes is therefore:
= Kitchen sink + Bath tub + Lavatory + Laundry tub + Second lavatory
= 5 + 4 + 3 + 5 + 2
= 19 feet
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Analysis of variance is the most common inferential statistical procedure used to analyze experiments because O there are several different versions of it, and so it can be used to compare the effect of many different groups and variables there is one version of it and it is better for comparing two group more accurately than the two-sample tests. O it is the only statistical procedure that can test either between-subjects factors or within- subjects factors. O most researchers are more interested in differences between the population and one sample
Option-A is It comes in a variety of forms, making it possible to compare the effects of numerous groups and variables satisfy the statement.
Given that,
The most typical inferential statistical method used to evaluate trials is analysis of variance because
We have to find which of the options are suitable for the given statements.
Option-A is It comes in a variety of forms, making it possible to compare the effects of numerous groups and variables satisfy the statement.
Option-B is It comes in one form, and compared to two-sample tests, it is more accurate for comparing two groups does not satisfy the statement.
Option-C is It is the only statistical method that can test both within- and between-subjects factors does not satisfy the statement.
Option-D is The majority of academics are more focused on differences between one sample and the population as a whole does not satisfy the statement.
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{y: y is an integer and y ≥ 2}
Answer:
Step-by-step explanation:
i believe the total would be 4
Answer: The set of integers greater than or equal to 2 is {2, 3, 4, 5, ...}. This set can be represented using set notation as:
{y: y is an integer and y ≥ 2}
This set includes all the integers that are greater than or equal to 2, including 2 itself. It does not include negative integers or fractions.
For example, the following are all elements of this set:
2, 3, 4, 5, 6, 7, 8, ...
The following are not elements of this set:
-1, 0, 1, 1.5, -3.14, ...
This set is infinite, because there are an infinite number of integers greater than or equal to 2.
I need understanding this
Answer:
x > 65/7
Step-by-step explanation:
First, we make the equation positive.
-7/5x < -13
We have to switch the sign when multiplying or dividing a negative number.
7/5x > 13
Now, we multiply by 5 and divide by 7.
7x > 65
x> 65/7
A grocery store bought milk for $2.30 per half gallon and stored it in two refrigerators. During the night, one refrigerator malfunctioned and ruined 14 half gallons. If the remaining milk is sold for $3.90 per half gallon, how many half gallons did the store buy if they made a profit of $105.40?
The number of half gallons that that store bought with the amount of profit they made would be = 41 half gallons.
What is a refrigerated milk?A refrigerated milk is the milk that is preserved in a refrigerator to prevent spoilage and prolong the shelf life of the milk.
A refrigerator is an electrical electronic device that is used for the preservation and storage of food and food products such as milk.
The amount that half gallon of milk was bought = $2.30 per half gallon.
The amount of half gallons of milk that was ruined= 14
The remaining milk was sold at = $3.90 per half gallon.
The profit made by the store = $105.40
The amount of half gallons that was bought,
= 105.40/3.90
= 27 + 14 ruined half gallon= 41 half gallons.
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At a benefit concert, nine bands have volunteered to perform but there is only enough time for five of the bands to
play. How many lineups are possible?
Answer:
126 lineups
Step-by-step explanation:
This is a problem in combinatorics which asks in how many ways can a subset of 5 be formed from a larger set of 9
In general, if you were to see how many ways a subset of [tex]r[/tex] can be formed from a larger subset [tex]n[/tex] denoted by [tex]nC_r[/tex] we use the formula
[tex]nC_r = \dfrac{n!}{ r! (n - r)! }[/tex]
There are calculators that can compute this and I used a scientific calculator to do so.
[tex]9C_5 = 126[/tex]
(20x³ - 15x² -15x+16) / (5x ²-5x)
Answer:
4x + 1 - 2/x + 6/(20x³ - 15x² -15x+16)
Step-by-step explanation:
4x + 1 - 2/x + 6/(20x³ - 15x² -15x+16)
________________
5x ²-5x | 20x³ - 15x² -15x+16
1 -(20x³ - 20x²) ==> -15x²-(-20x²)= -15x²+20x² = 5x²
5x² - 15x
2 -(5x² - 5x) ==> -15x-(-5x)= -15x+5x = -10x
-10x+16
3 -(10x+10)
6 ==> 16-10 = 6
1: At step 1, (4x) * (5x²-5x) = (20x³ - 20x²)
2: At step 2, 1 * (5x² - 5x) = 5x² - 5x
3: At step 3, (2/x) * (5x² - 5x) = 10x+10
A plane travels 900,000 meters in 700 seconds. What was its speed?
Answer:1285.7 meters per second.
Step-by-step explanation: divide 900,000 meters by 700 seconds
Answer:
A plane travels 360,000 meters in 900 seconds
Step-by-step explanation:
need help and show all work.
Step-by-step explanation:
that is a college question ?
oh my ...
to clarify :
perpendicular means intersecting or touching at a right angle (90°).
bisector means it is a line that cuts the other line in half.
1.
because of the bisector this means DF = FC = DC/2.
so, since FC = 17, so is DF (=y) = 17.
2.
for the same reason
2x - 3 = x + 8
x - 3 = 8
x = 11
the angle must be 90°.
so,
5y = 90
y = 18
3.
for the same reason
10 = 4a
a = 10/4 = 2.5
4.
for the given reasons of 1-3, this figure is a kite. that means the left side is a mirror image of the right side. so, all the lengths on one side are equation to the lengths of the other side.
x - 11 = 19
x = 30
5.
for the same reasons
3y + 5 = 26
3y = 21
y = 7
6.
the perimeter of EDP is then
EP + DP + ED = 19 + 19 + (9 + 9) = 56
because ED = EC + CD
and for the above reasons EC = CD = 9
so, ED = 9 + 9 = 18
7.
the perimeter of EDQ is then
EQ + DQ + ED = 26 + 26 + 18 = 70
8.
for the same reasons as above
x = 90°
9.
remember, the sum of all angles in a triangle is always 180°.
180 = 90 + 55 + y
y = 180 - 90 - 55 = 35°
10.
180 = y + M + z = 35 + (55+71) + z = 161 + z
z = 180 - 161 = 19°
I dont understand this problems
The value of x = 7 (blue)
The value of x = 6 (yellow)
The value of x = 4 (marron)
The value of x = 20 (black)
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
1,
The two angles are equal.
The sides opposite to the angles are also equal.
x = 7 (blue)
2.
The given triangle is an equilateral triangle.
All angles are equal.
The sides opposite to the angles are also equal.
x = 6 (yellow)
3.
Alternate angles are equal.
The sides opposite to the alternate angles are also equal.
x = 4 (marron)
4.
The given triangle is an isosceles triangle.
Two sides are equal.
One angle is 40.
The sum of the angles is 180.
x + x + 40 = 180
2x + 40 = 180
2x = 140
x = 20 (black)
Thus,
x = 7 (blue)
x = 6 (yellow)
x = 4 (marron)
x = 20 (black)
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