Complete question is;
The shortest side of an isosceles triangle is 2x - 3 inches long. the longer sides are 6 inches longer than the shortest side. the perimeter of the triangle is 33 inches. what is the length of each side of the longer sides of the triangle.
Answer:
Shortest side = 7 inches
Side 2 = 13 inches
Side 3 = 13 inches
Step-by-step explanation:
We are told that;
Triangle is isosceles
The shortest side is 2x - 3 inches
The other 2 sides which are equal because it's an isosceles triangle are both 6 inches longer than the shortest side. Thus;
Side 2 = side 3 = 2x - 3 + 6 = 2x + 3
Since perimeter = 33 and sum of all 3 sides is the perimeter. Thus;
(2x - 3) + 2x + 3 + 2x + 3 = 33
6x + 3 = 33
6x = 33 - 3
6x = 30
x = 30/6
x = 5
Thus;
Shortest side = 2(5) - 3 = 7
Other 2 sides are each; 2(5) + 3 = 13
In the summer term sal wlks to school starting soon after 7 am when the hour hand is at angle of 110 degrees to the minute hand. She arrives at school before 8 am when
Answer:
She walked for 46 minutes
Step-by-step explanation:
Given
When she leaves home
[tex]h = 7am[/tex]
[tex]\theta_1 = 110^o[/tex]
When she arrives at school
[tex]H = 8am[/tex]
[tex]\theta_2 = 110^o[/tex]
Required
Time to walk to school
First, we convert [tex]\theta_1 = 110^o[/tex] to minutes:
[tex]\theta_1 = \frac{110}{6}[/tex]
[tex]\theta_1 = 18.33[/tex]
[tex]\theta_1 = 18[/tex] --- approximated
From the question, we understand that she left home past 7.
This means that the difference between the hour hand (at 7) and the minutes hand is 18 minutes.
Also, the minute hand is between 0 and 30 minutes
Subtract 18 minutes from 30 minutes;
[tex]Mins = 30-18=12[/tex]
She left home at 7:12am
Similarly;
[tex]\theta_2 = \theta_1 = 18\ mins[/tex]
From the question, we understand that she arrived before 8.
This means that the difference between the hour hand (at 8) and the minutes hand is 18 minutes
Also, the minute hand is between 30 and 60 minutes mark.
At the 8hour hand, the minutes is 40
Add 18 minutes from 40 minutes;
[tex]Mins = 40 + 18 = 58[/tex]
She arrived at 7:58am
The difference (d) is:
[tex]d =7:58am - 7:12am[/tex]
[tex]d =46[/tex]
consider the equation of the line y=-2x+4 what is the value of y when x=2
Answer: The value of y is 8
Step-by-step explanation:
Since we know x=2 we can sub in 2 for x in the equation
y=2(2)+4
y=4+4
y=8
Solve using suitable property and name the property applied. 3/5 x 35/24 + 15/6 x 3/5
A 3-member committee has to be formed from 2 teachers and 2 parents. How many combinations are possible?
Step-by-step explanation:
the answer is in the above image
The number of combinations possible if a 3-member committee has to be formed from 2 teachers and 2 parents is 4 combinations
Combination and permutationCombinations have to do with selection compared to permutation that has to do with the arrangement.
If a 3-member committee has to be formed from 2 teachers and 2 parents, the total committee is given as:
Total committee members = 2 + 2
Total committee members = 4 committees
If 3-member committee has to be formed from them, the number of ways this can be done is given as:
4C3 = 4!/(4-3)!3!
4C3 = 41/3!
4C3 = 4 ways
Hence the number of combinations possible if a 3-member committee has to be formed from 2 teachers and 2 parents is 4 combinations
Learn more on combination here: https://brainly.com/question/11732255
For 4 weeks, William volunteered as a helper for swimming classes. The first week, he volunteered for 8 hours. He volunteered for 12 hours in the second week, and another 12 hours in the third week. The fourth week, he volunteered for 9 hours. For how many hours did he volunteer per week, on average?
what is the solution to the equation below sqrt x-2 = x-22
Answer:
√27-2 =27-22
√25. =5
the answer is option B
x=27
Answer:
option B : x = 27
Step-by-step explanation:
Un deposito de agua tiene forma de prisma rectangular con los lados de la base de 25 y 20 metros. Calcula la altura que pueda contener 1000 metros cúbicos de agua
Answer:
La altura del depósito para que pueda contener 1000 metros cúbicos de agua es 2 m.
Step-by-step explanation:
Para calcular el volumen de un prisma rectangular, es necesario multiplicar sus 3 dimensiones: longitud*ancho*altura. El volumen se expresa en unidades cúbicas.
En este caso, se conoce la longitud y el ancho, cuyos valores son 25 y 20 metros. A su vez, se sabe que el depósito de agua debe contener 1000 m³. Entonces, siendo:
Volumen= longitud*ancho*altura
Y reemplazando los valores se obtiene:
1000 m³= 25 m* 20 m* altura
Resolviendo:
1000 m³= 500 m²* altura
[tex]altura=\frac{1000 m^{3} }{500 m^{2} }[/tex]
altura= 2 m
La altura del depósito para que pueda contener 1000 metros cúbicos de agua es 2 m.
The histogram below shows the grade ranges for Mrs. Granderson's class.
Student Scores on Test 4
10
8
6
Prequency
60-69
70 - 79
80 - 89
90 - 100
How many students earned an 80 or better on Test 4?
There were
students who earned an 80 or better on the test.
Answer:
The answer is 14.
Step-by-step explanation:
All you had to do was add all the amount of students that scored 80 to 100 and you would have got your answer.
Write an equivalent expression in expanded form. -1/4(-8x+12)
Answer:
2x - 3
Step-by-step explanation:
The Distributive Property of Multiplication applies here. Multiply each of the two terms inside parentheses by-1/4: 2x - 3
Which of the quotients are equivalent to -(48/17)
Answer:
oiie4546
Step-by-step explanation:
A boat heading out to sea starts out at Point AA, at a horizontal distance of 804 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 12^{\circ} ∘ . At some later time, the crew measures the angle of elevation from point BB to be 2^{\circ} ∘ . Find the distance from point AA to point BB. Round your answer to the nearest foot if necessary.
Answer:
672 feets
Step-by-step explanation:
Using the solution diagram attached, the vertical height, h of the lighthouse ;
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 2 = h / 804
h = tan 2 * 804
h = 28.076 feets
Using h, we can obtain the distance CB :
Tan θ = opposite / Adjacent
Tan 2 = 28.076 / CB
CB = 28.076 / Tan 12°
CB = 132.08860 feets
Distance between A and B
804 - 132.08860
= 671.9 feets
A line of best fit....?
a) must pass through the median of the data
b) must pass through the origin
c) represents the trend of the data
d) must have a positive slope
Please help...*puppy eyes*
(Will pick brainliest)
Step-by-step explanation:
Note that the denominators in the expression are perfect squares:
[tex] {x}^{2} - 5xy + 6 {y}^{2} = (x - 2y)(x - 3y)[/tex]
[tex] {x}^{2} - 4xy + 3 {y}^{2} = (x - y)(x - 3y)[/tex]
[tex] {x}^{2} - 3xy + 2 {y}^{2} = (x - y)(x - 2y)[/tex]
We can then write the given expression as
[tex] \frac{1}{ {x}^{2} - 5xy + 6 {y}^{2} } + \frac{a}{{x}^{2} - 4xy + 3{y}^{2} } + \frac{1}{{x}^{2} - 3xy + 2{y}^{2}}[/tex]
[tex] \frac{1}{ {x}^{2} - 5xy + 6 {y}^{2} } + \frac{a}{{x}^{2} - 4xy + 3{y}^{2} } + \frac{1}{{x}^{2} - 3xy + 2{y}^{2}}[/tex]
[tex] = \frac{1}{(x - 2y)(x - 3y)} + \frac{a}{(x - y)(x - 3y)} + \frac{1}{(x - y)(x - 2y)}[/tex]
[tex] = \frac{(x - y)(x - 2y) {(x -3y)}^{2} + a {(x - y)}^{2} (x - 2y)(x - 3y) + (x - y){(x - 2y)}^{2}(x - 3y) }{ {(x - y)}^{2} {(x - 2y)}^{2} {(x - 3y)}^{2} } [/tex]
What is the surface area?
5 ft
4 ft
5 ft
6 ft
5 ft
square feet
Answer:250 ft
Step-by-step explanation:
5 ft x 4 ft = 20
5 ft x 6 ft = 30
20 + 30 = 50
50 x 5 ft = 250 ft
I hope this helps and if its wrong im sorry
Anyone can help :(((:)
Answer:
Below
Step-by-step explanation:
The area of a circle is given by A=πr². Since we know the radius, we can sub r with 11.
This gives A=11²π, which by solving the square gives A=121π.
From there, you would solve with a calculator by typing 121×π, giving a final area of 380.132711084.
**This content involves using the circle area formula, which you may wish to revise. I'm always happy to help!
If there was a total of 80 vehicles an a percentage of 70% of cars how much car was used
Answer:
56
Step-by-step explanation:
I don't quite understand your question but I assumed you meant what is 70% of 80
Find each difference. (10 Points!)
Answer:
1. -6y^4 +4y^2 -12
2. x - 19
Step-by-step explanation:
1.
(6y^4+3y^2-7) - (12y^4-y^2+5)
= -6y^4+ 4y^2- 12
2. 3(x-5) - (3x+4)
= (3x-15) - (3x+4)
= x-19
What is the solution to the linear equation?
2.8y + 6 + 0.2y = 5y – 14
Answer:
2y +3x
Step-by-step explanation:
sjsjdjdsndnjssje
someone help me please. this is annoying. which ones are right?
9514 1404 393
Answer:
B, C, D, E
Step-by-step explanation:
A square has all side equal, opposite sides parallel, and all angles equal (90°). Because all sides are equal, so are adjacent sides. All but the first and last descriptions apply to a square.
The first description is that of a trapezoid, which has exactly one pair or parallel sides. The last description is that of an isosceles (right) triangle, which has sides that are referred to as "legs."
Jaclyn estimates that the square root of 50 in the following way:
[tex]\sqrt{50[/tex] = [tex]2 \sqrt{25[/tex] = 2 * 5 = 10
Explain why her reasoning is incorrect. Please use complete sentences.
[tex]\sf\purple{The\: square\: root \:of \:50\: is\: 5√2.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\blue{Step-by-step\:explanation}}{\blue{:}}}}}[/tex]
Error made by Jaclyn ⤵
[tex] \sqrt{50} [/tex]
[tex]\sf\red{=\:2√25}[/tex] ❌
Correct way to solve it ⤵
[tex] \sqrt{50} \\ \\ = \sqrt{5 \times 5 \times 2} \\ \\ = \sqrt{ {5}^{2} \times 2} \\ \\ = \sqrt{ {5}^{2} } \times \sqrt{2} \\ \\ = 5 \sqrt{2} \\ \\ (∵ \sqrt{ {a}^{2} } = a)[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
A bakery offers a sale price of $2.75 for 3 muffins. What is the price per dozen
Answer:
4 muffins is $2.75
4*3=12
1 dozen is 12
2.75 * 3 =$ 8.25
Step-by-step explanation:
Angle Measurements 1”” degree help find out what’s the other side
Answer:
80 degree
Step-by-step explanation:
missing angle + 100 degree = 180 degree (being co interior angles )
missing angle = 180 - 100
missing angle 80 degree
What is the answer and how did you get it
answer is 200 lol pretty easy
Answer:
He sold 200 loaves
Step-by-step explanation:
if he sells twice as many the next week the equation would be
100 times 2 = x
therefore, the answer is 200
Find the square root of 362.1409 by division method
-----------------------
The nation of Finlandia has 120,000 people. Of these, 20,000 are children under 16, 72,000 have jobs, 8,000 don't have jobs but are looking for work, and 20,000 are retired. With this info, calculate the labor force participation rate and the unemployment rate.
Answer: labor force participation rate =60%
unemployment rate = 6.67%
Step-by-step explanation:
The labor force participation rate is computed as
[tex]\text{labor force participation rate}=\dfrac{\text{Total employed persons}}{\text{Total population}}[/tex]
i.e. [tex]\text{labor force participation rate}= \dfrac{72000}{120000}[/tex]
[tex]= 0.6\ or\ 60 \%[/tex]
The unemployment rate is computed as:
[tex]\text{unemployment rate}=\dfrac{\text{Number of personsdon't have jobs }}{\text{Total population}}\\\\\text{unemployment rate}=\dfrac{8000}{120000}\\\\\text{unemployment rate}=0.0667\ or\ 6.67\%[/tex]
Hence, labor force participation rate =60%
unemployment rate = 6.67%
What is the slope of the line that passes through the points (3,4) and (0,-2)
Answer:
slope of a line is 2/3
Step-by-step explanation:
the coordinate points are:
(3,4)=(x1 , y1)
(0,-2)=(x2 , y2)
slope=y2 - y1/x2 - x1
=-2-4/0-3
=-2/-3
=2/3
Help pleaseeeeeeeeeeeeeeeeeeeeee
Answer:
The answer is -20.
Step-by-step explanation:
To evaluate the expression, plug x= -3 and y= -5 into the expression. By plugging in the information given from the problem, the expression will look like 4(-3) + 3(-5) + 7.
Next, solve the expression, and the answer will be -20.
Does this graph represent a function? Why or why not?
Answer:
B yes
Step-by-step explanation:
As long as a verticle line intercepts the graph at no more than one point it is a function
Answer:
B. Yes, because it passes the vertical line test
Step-by-step explanation:
no x values are repeated
According to the table below, which of these is a possible taxable income for
a taxpayer filing with the Single filing status in the 25% federal income tax
bracket?
Single
Taxable
But not
income is
Bracket
over
over
$0
8.350
10%
8.650
33.950
15%
33,950
82 250
25%
82,250
171,550
28%
171,550
372,950
33%
372,950
35%
Based on the table, a possible taxable income for a taxpayer filing with the Single filing status is $50,000.
What is taxation?Taxation can be defined as the involuntary (compulsory) fees that are levied on individuals or business firms by the government of a particular country, so as to generate revenues that can be used to fund public institutions and activities.
Based on the table, the range of income for a married couple that is filing singly in the 25% federal income tax bracket is $33,950 to $82,250.
This ultimately implies that, a possible taxable income for a taxpayer filing with the Single filing status is $50,000.
Read more on tax here: https://brainly.com/question/25783927
Answer:
$137,050
Step-by-step explanation:
That is the correct answer on the test.
Is pi over 2 rational or irrational
Answer:
rational
Step-by-step explanation:
Answer:
Step-by-step explanation:
Explanation: It is an irrational number. A number is rational if it can be expressed as a quotient of 2 integer numbers. Number π2 cannot be expressed as a quotient of integers, so it is an irrational number.
