The sides of a triangle are in the ratio 1 : 2 : 4. The difference between the longest side and the shortest side is 84 cm. What is the perimeter of the triangle ?
Solution:-The sides of a triangle are in the ratio 1: 2: 4. (Given)
Let the three sides of a triangle be x, 2x and 4x respectively.
So,
ATQ ,
4x - x = 84
3x = 84
x = [tex] \bf \frac{84}{3} [/tex]
x = 28[tex] \therefore [/tex] Longest side = 4x = 4 × 28 = 112 cm.
Shortest side = x = 28 cm.
And, the other side = 2x = 2 × 28 = 56 cm
Now, we have to find the perimeter of the triangle.
Hence, Perimeter of the triangle = (112 + 56 + 28) cm = 196 cm.
The perimeter of the triangle is 196 cm. [Answer]Need help with linear function
Answer:
y = 1/2x + 2
Step-by-step explanation:
The drawing below shows a side view of a picture frame on Mary's desk support 16 4.2 which of the following is the closest to the length of the frame support
Answer:
17 cm
Step-by-step explanation:
Math STAAR Readiness 8 grade Quiz: The drawing below shows a side view of a picture frame on Mary’s desk. Closest to the length of the frame support.
Answer:
17 or D
Step-by-step explanation:
a^2+b^2=c^2
4.2^2+16^2=c^2
17.64+25.6=c^2
c^2=273.64
c=√273.64
c=16.5 which can be rounded up to 17 or D
and I am reviewing for the math staar.
The sticker price for a new car takes into account the compensation made to the salesperson who managed the sale. This compensation is an example of what type of cost?
A): dealer cost
B): shipping cost
C): manufacturing cost
D): sales commission
Christopher sold his dinette set for $245 through an online site, which charged him 9% of the selling price as commission. How much was the commission?
Answer:
3.67
Step-by-step explanation:
Because, 9% is literally just 9/100
and when you multiply that by 245 then you get 3.67
4b + 8c + 12 – 8b – 2c + 6.
There are 5 yellow pens 6 blue pens 9 green pens she picks 1 at random and does not replace it then she picks another pen
Which problem can be solved with 56 + 7 = 8?
Chloe has 56 pennies. Her brother has 7 times as
many pennies as she has, How many pennies does
her brother have?
Chloe has 56 pennies. She finds 7 more pennies.
How many pennies does she have now?
Chloe has 56 pennies. She puts the pennies into
equal stacks of 7. How many stacks does she make?
Chloe has 56 pennies. She gives away 7 pennies.
How many pennies does she have left?
Answer:
she puts the pennies into equal stacks
Step-by-step explanation:
I think you meant 56 DIVIDED by 7=8, not 56 PLUS 7=8
Answer:
C.Chloe has 56 pennies. She puts the pennies intoequal stacks of 7. How many stacks does she make?
Step-by-step explanation:
In the year 2003, a person bought a new car for $25000. For each consecutive year
after that, the value of the car depreciated by 12%. How much would the car be worth
in the year 2006, to the nearest hundred dollars?
Step-by-step explanation:
multiply 25000×12/10
and 2003-2006 is 3 years
next steps are in the attached pic
Answer:
$17000Step-by-step explanation:
Given
Initial value PV = $25000Depreciation rate r = 12% per yearTime t = 2006 - 2003 = 3 yearsFV = ?Required formula and solution
FV = PV*(1 - r)^tFV = 25000*(1 - 0.12)^3 = $17036.80 ≈ $17000 (rounded)HELP PLEASEEEEEE I WILL GIVE YOU BRAINLIEST
Answer:
Step-by-step explanation:
so brh
can someone please help me
Answer:
B
Step-by-step explanation:
minimum = 1
first quartile = 12
median = 6
third quartile = 16
maximum = 19
Camp counselors kept track of the number of granola bars they served each day.
What is the median of the data set?
Answer:
the median is 43
Step-by-step explanation:
The effect of the time of day a science class is taught on test scores is being
studied in an experiment. Which of these is most likely to be an extraneous
factor that could also affect test scores?
A. Student clothing
B. Color of the school hallways
C. Principal of the school
D. Length of class period
Answer:D
Step-by-step explanation:
The effect of the time of day a science class is taught on test scores being studied in an experiment will be the length of the class period. The correct option is D.
What is a test analysis?
A test score is a piece of data, typically a number, that describes how well a test-taker performed. It is "a summary of the evidence contained in an examinee's replies to the test items that are connected to the construct or constructs being tested," according to one formal definition.
Given that the effect of the time of day a science class is taught on test scores is being studied in an experiment.
The time of the class periods is affected by the length of the class period. The length of the class period of one subject should be optimum so that students get the concepts easily without getting bored.
Therefore, an effect of the time of day a science class is taught on test scores being studied in an experiment will be the length of the class period. The correct option is D.
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In the image above x=4 cm and y=8 cm. Find the surface area of the figure. (Note: Figure is not to scale.)
Answer:
96
Step-by-step explanation:
4×8×3=96 is the surface area
How do u convert kilometres into minutes
Example 0.8kilometer what till ut b in minutes woukd u times by 70
Answer:
It is not possible
Step-by-step explanation:
Given
0.8km
Required
Convert to minutes
In conversion, only units of the same metric can be converted.
i.e.
You can convert meters to miles (they both measure distance)
You can convert seconds to hours (they both measure time)
You can convert kilogram to pounds (they both measure weight)
But in the given question, you attempt to convert from distance to time.
This is not possible, because time and distance are different measurements
Six measurements were made of the magnesium ion concentration (in parts per million, or ppm) in a city's municipal water supply, with the following results. It is reasonable to assume that the population is approx. normal.
DATA: 202, 164, 157, 177, 113, 213202, 164, 157, 177, 113, 213.
Based on a 98% confidence interval for the mean magnesium ion concentration, is it reasonable to believe that the mean magnesium ion concentration may be greater than 195?
Answer:
The 98% confidence interval for the mean magnesium ion concentration is between 122 ppm and 220 ppm. As the lower bound of the interval is below 195, it is not reasonable to conclude that the mean magnesium ion concentration may be greater than 195
Step-by-step explanation:
The six measurements are:
202, 164, 157, 177, 113, 213
Sample mean:
Sum of all values divided by the number of values which is 6. So
[tex]S_m = \frac{202+164+157+177+113+213}{6} = 171[/tex]
Sample standard deviation:
Square root of the difference squared between each value and the mean, and divided by 1 subtracted by the sample size. So
[tex]s = \sqrt{\frac{(202-171)^2+(164-171)^2+(157-171)^2+(177-171)^2+(113-171)^2+(213-171)^2}{5}} = 35.69[/tex]
Confidence interval
We have the standard deviation for the sample, which means that the t-distribution will be used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 6 - 1 = 5
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 5 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 3.365
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 3.365\frac{35.69}{\sqrt{6}} = 49[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 171 - 49 = 122 ppm
The upper end of the interval is the sample mean added to M. So it is 171 + 49 = 220 ppm
The 98% confidence interval for the mean magnesium ion concentration is between 122 ppm and 220 ppm. As the lower bound of the interval is below 195, it is not reasonable to conclude that the mean magnesium ion concentration may be greater than 195
a. find the area
b. find the perimeter
Answer:
Area= 4y^2 + 14y + 12
Perimeter = 10y + 16
Step-by-step explanation:
Area of a reactangle = length × width
= (4y+6) × (y+2)
= 4y^2 + 6y + 8y + 12
= 4y^2 + 14y + 12
Perimeter of a rectangle = 2 × (a +b)
= 2 × ( 4y + 6 + y+ 2)
= 2 × ( 5y + 8)
= 10y + 16
Simplify and write answer in standard form.
Step-by-step explanation:
2x^3 - 10x^2 + 8x -3
hope this helps
Dawn is verifying the accuracy of her paycheck. She
earns $14 an hour and works 40 hours each week.
Her biweekly deductions are Social Security 6.2%,
Medicare 1.45%, federal withholding tax $73.25,
state withholding tax $22.50, and health insurance
$37.45. What is her annual net pay if she is paid
biweekly
This is for financial algebra senior year high school. If anyone can help me understand this and please no random links
Answer:
$753.34
Step-by-step explanation:
trust me it is $753.34
Jason bought 12 new CDs to add to his
collection. The next day, his baby
brother went into his room and
scratched half of his CDs. He now only
has 56 working CDs left. How many
CDs did Jason start with?
Answer:
He had origanlly had 68 altogether
Step-by-step explanation:
Because if u count the scrateched ones which was 6 is now 62 then add the other six because there was 12 and his brother scrateched half which is basically 12 / 2 = 6 so if u add the six is 68
What Im basically saying is 56 + 12 = 68
if f(x) = 2x+6 and g(x) = x(3) , what is (g0f)(0)
Answer:
(g0f)= (2x0+6 x 0x3)= 8x3= 24
Step-by-step explanation:
I'm not sure
:) sorry
-3 < 5 true or false
Answer:
true
Step-by-step explanation:
Answer:
true?
Step-by-step explanation:
Which equation has a slope of –2 and passes through the point (5, 0)?
A. y = 2x + 5
B. y = 2x + 10
C. y = –2x + 5
D. y = –2x + 10
Answer:
D. y = –2x + 10
Step-by-step explanation:
1) First, write the equation of the line in point-slope form with the given information. Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].
Since [tex]m[/tex] represents the slope, substitute -2 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (5,0) into the formula as well. This gives the following equation:
[tex]y - 0 = -2(x-5)\\y = -2(x-5)[/tex]
2) Expand the right side of the equation to find the answer:
[tex]y = -2(x-5)\\y = -2x+10[/tex]
So, option D is correct.
Question 5 of 10
Which system of inequalities is graphed below?
5
O A. y
Answer:
you did not send the graph-_-
Step-by-step explanation:
x2 - 3|x - 2| - 4x = - 6
Solve for x
Answer:
if that is x^2 -3|x-2|-4x=-6, then this should be the answer other wise it would be a biiiit diffrent
Step-by-step explanation:
[need math help] Study buddies part #2
Answer:
Part A) The distance between Whitney's house and Anh's house is 6.5 miles.
Part B) The total distance traveled by Whitney during the trip was 9.5 miles.
Step-by-step explanation:
Part A)
Notice that during Whitney's journey to Anh's house, her velocity was negative for some time. So, Whitney was travelling backwards. Hence, the total distance Whitney traveled will be greater than the actual distance from Whitney's house to Anh's.
So, instead, we can calculate Whitney's total displacement. Total displacement is given by:
[tex]\displaystyle \text{Displacement}=\int_a^bv(t)\, dt[/tex]
Where v(t) is the velocity function.
So, the displacement of Whitney when she traveled from her house to Anh's house will be:
[tex]\displaystyle \text{Displacement}=\int_0^{24}v(t)\, dt[/tex]
To calculate the integral, we can split it off at t = 11, t = 16, and t = 24.
The three regions represent three geometric figures, which we can use to calculate the area and then find the integral. Rewriting:
[tex]\displaystyle \text{Displacement}=\int_0^{11}v(t)\, dt+\int_{11}^{16}v(t)\, dt+\int_{16}^{24}v(t)\, dt[/tex]
Now, we can calculate the area of each figure.
The first figure is a trapezoid with a height of 0.8 and two bases of 11 and 3. So, its area is:
[tex]\displaystyle A_1=\frac{1}{2}(0.8)(11+3)=5.6\text{ miles}[/tex]
The second figure is a triangle with a height of 0.6 and a base of 5. So, its area is:
[tex]\displaystyle A_2=\frac{1}{2}(0.6)(5)=1.5\text{ miles}[/tex]
Lastly, the third figure is another triangle will a height of 0.6 and a base of 8. So, its area is:
[tex]\displaystyle A_3=\frac{1}{2}(0.6)(8)=2.4\text{ miles}[/tex]
However, notice that the second figure is below the x-axis. During that interval, Whitney was traveling backwards. Hence, we will subtract the second area from the rest of the areas.
Then the displacement will be:
[tex]\displaystyle \text{Displacement}=5.6-1.5+2.4=6.5\text{ miles}[/tex]
So, the distance between Whitney's house and Anh's house is 6.5 miles.
Part B)
The total distance differs from displacement in that it includes all the distances in both directions. It is given by:
[tex]\displaystyle \text{Distance}=\int_a^b|v(t)|\, dt[/tex]
In other words, all of our values are now positive. We will utilize the same strategy:
[tex]\displaystyle \text{Distance}=\int_0^{11}|v(t)|\, dt+\int_{11}^{16}|v(t)|\, dt+\int_{16}^{24}|v(t)|\, dt[/tex]
Substitute. The only difference is that we will add 1.5 instead of subtracting it. So:
[tex]\displaystyle \text{Distance} =5.6+1.5+2.4=9.5[/tex]
Therefore, in this instance, Whitney traveled a total of 9.5 miles to get to Anh's house.
A box in the shape of a rectangular prism has the dimensions shown. What is the length of the interior diagonal of the box? Round to the nearest hundredth. Enter your answer in the box.
Answer:
Step-by-step explanation:
44
Calculate the exact value of cos(a−b) given that sin a=12/13 with π/2
Answer:
Step-by-step explanation:
[tex]sin ~a=\frac{12}{13} ,\frac{\pi}{2} <a<\pi\\a ~is~in~2nd~quadrant.\\sin~b=\frac{3}{5} ,0<b<\frac{\pi}{2} \\b~is~in~1st~quadrant.\\cos~b=\sqrt{1-sin ^2b} \\=\sqrt{1-(\frac{3}{5} )^2} \\=\sqrt{\frac{25-9}{25} } \\=\sqrt{\frac{16}{25} } \\=\frac{4}{5} ,\\cos~a=-\sqrt{1-sin^2 a} \\=-\sqrt{1-(\frac{12}{13} )^2} \\=-\sqrt{\frac{169-144}{169} } \\=-\sqrt{\frac{25}{169} } \\=-\frac{5}{13} \\cos(a-b)=cos~acos~b+sin~a sin~b\\=\frac{-5}{13}* \frac{4}{5} +\frac{12}{13}* \frac{3}{5} \\=?[/tex]
A random sample of 388 married couples found that 294 had two or more personality preferences in common. In another random sample of 566 married couples, it was found that only 38 had no preferences in common. Let p1 be the population proportion of all married couples who have two or more personality preferences in common. Let p2 be the population proportion of all married couples who have no personality preferences in common.
Solution :
Given :
[tex]$n_1=388$[/tex] , [tex]$x_1 = 294, \ n_2 = 566, \ x_2 = 38$[/tex]
Sample proportion, [tex]$(\hat p_1)=\frac{x_1}{n_1}$[/tex]
[tex]$=\frac{294}{388}$[/tex]
= 0.7577
Sample proportion, [tex]$(\hat p_2)=\frac{x_2}{n_2}$[/tex]
[tex]$=\frac{38}{566}$[/tex]
= 0.0671
For 95 % CI, z = 1.96
The confidence interval for the population proportion,
[tex]$p_1-p_2=(\hat p_1-\hat p_2)\pm z \left\{\sqrt{\frac{\hat p_1 \times (1- \hat p_1)}{n_1}+\frac{\hat p_2 \times (1- \hat p_2)}{n_2}}\right\}$[/tex]
[tex]$=(0.7577-0.0671)\pm 1.96 \left\{\sqrt{\frac{0.7577 \times (1- 0.7577)}{388}+\frac{0.0671 \times (1- 0.0671)}{566}}\right\}$[/tex]
[tex]$=0.6906 \pm 1.96 \times \left 0.0241$[/tex]
= [tex]$0.6906 \pm 0.0472 $[/tex]
Lower limit : 0.6906 - 0.0472 = 0.6434
Upper limit : 0.6906 + 0.0472 = 0.7378
Which choice is equivalent to the product below for acceptable values of x?
Answer:
the answer to the question is c
The equivalent expression to the equation is A = √ ( x² - 9 )
What do you mean by an Equation?Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.
It displays the similarity of the connections between the phrases on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = √ ( x + 3 ) .√( x - 3 )
Now , on simplifying the roots of the equation , we get
A = √ ( x + 3 ) ( x - 3 )
The value of ( a + b ) ( a - b ) = a² - b²
So , on further simplification , we get
A = √ ( x² - 9 )
Therefore , the equivalent expression of A is √ ( x² - 9 )
Hence , the equation is A = √ ( x² - 9 )
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433.54 in terms of pi
Answer:
138.0700636942675[tex]\pi[/tex]
Step-by-step explanation: