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Related Questions
Find (i) x ,y ,z and w (ii) x + y + z + w
Please lemme know with explanation
Answers
Answer:
x = 60°, y = 100°, z = 120°, w = 80°
Step-by-step explanation:
x and 120° are adjacent angles on a straight line and sum to 180°
x + 120° = 180° ( subtract 120° from both sides )
x = 60°
Similarly
y + 80° = 180° ( subtract 80° from both sides )
y = 100°
and
z + 60° = 180° ( subtract 60° from both sides )
z = 120°
--------------------------------------------------------------------
The sum of the interior angles in a quadrilateral = 360°
sum the interior angles of the quadrilateral and equate to 360°
60° + 80° + 120° + 4th angle = 360°
260° + 4th angle = 360° ( subtract 260° from both sides )
4th angle = 100°
w and 100° are adjacent angles on a straight line and sum to 180° , so
w + 100° = 180° ( subtract 100° from both sides )
w = 80°
Solve the following quadratic equation.
d²-5d+6=0
Answers
Answer:
[tex]d=2[/tex] and [tex]d=3[/tex]
Step-by-step explanation:
[tex]d^2-5d+6=0[/tex]
[tex](d-2)(d-3)=0[/tex]
[tex]d=2[/tex] and [tex]d=3[/tex]
why is 3/8 bigger than 3/12
Answers
Answer:
3/8 is is bigger then 3/12
Step-by-step explanation:
The reason is that 3/12 is equivalent to 2/8 and 3/8 is equivalent to 6/16
Sorry if its wrong! ^^""
As, 0.375> 0.25, so, 3/8 is greater than 3/12.
Here, we have,
To get the answer, we first convert each fraction into decimal numbers.
We do this by dividing the numerator by the denominator for each fraction as illustrated below:
3/8 = 0.375
3/12 = 0.25
Then, we compare the two decimal numbers to get the answer.
0.375 is greater than 0.25.
i.e. 0.375> 0.25, as 0.375 - 0.25 = 0.125
Therefore, 3/8 is greater than 3/12.
Hence, As, 0.375> 0.25, so, 3/8 is greater than 3/12.
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3. The difference of two-thirds of a number x and
6 is at least -24. Which inequality represents all
possible values for x?
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The inequality that represents all possible values for x is x ≥ -27.
What is linear inequality?Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.
Unlike a linear equation it can have a range of values inside an interval.
The given statement can be written in terms of inequality as,
2/3x - 6 ≥ -24
=> 2/3x ≥ -24 + 6
=> 2/3x ≥ -18
=> x ≥ -27
Hence, the inequality expression for the given problem can be written as x ≥ -27.
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Nick has two pet rabbits. He's Flemish giant rabbit weighs 5 times as much as his Holland lop rabbit.
If Nick's Flemish giant rabbit weighs 11 more pounds than he's Holland lop rabbit, how much does his Flemish giant rabbit weigh?
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Taking into account the definition of a system of linear equations, the weigh of Flemish giant rabbit is 13.75 pounds.
System of linear equationsA system of linear equations is a set of two or more first degree equations, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, a solution to a system of two or more linear equations is a solution that simultaneously satisfies all the equations in the system
Flemish giant rabbit weighIn this case, a system of linear equations must be proposed taking into account that:
"f" is the Flemish giant rabbit weigh."h" is the Holland lop rabbit weigh.You know:
Flemish giant rabbit weighs 5 times as much as his Holland lop rabbit.Nick's Flemish giant rabbit weighs 11 more pounds than he's Holland lop rabbit.The system of equations to be solved is
f= 5×h
f= h +11
There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, substituting the first equation in the second you get:
5×h= h + 11
Solving:
5×h- h= 11
4×h= 11
h= 11÷ 4
h= 2.75
Substituting this value in the first equation of the system of equations:
f= 5×2.75
f= 13.75
Finally, Flemish giant rabbit weighs 13.75 pounds.
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The ratio of students who wear glasses to the total class is 2:5
a. What is the ratio of student who wear glasses to those who don't in simplest form?
b. If there are 15 students who don't wear glasses, how many students are in the class?
students
c. If 5 of the students who didn't wear glasses now do, what is the ratio of students who wear glasses
to those who don't in simplest form?
Answers
Answer:
a. 2:3, b. 25 students, c. 3:2
Step-by-step explanation:
a. 5 (total) - 2 (with glasses) = 3 (without glasses), making the ratio 2:3.
b. We can assign the total students with the variable x. 3:5=15:x, 75=3x, x=25. 25 total students.
c. 25 (total students) - 15 (without glasses) = 10 (with glasses). (10+5):(15-5) is 15:10, which, when simplified, equals to 3:2.
hii! could someone please help with a legit answer 'n explanation? Im soo confused. thank you so much!
Answers
Answer:
First part = 2.
Time to land = 6 seconds.
Step-by-step explanation:
The object is at h = 0 when it land so
-5x^2 + 20x + 60 = 0
-5(x^2 - 4x) = -60
-5[(x - 2)^2 - 4] = -60
(x - 2)^2 - 4 = -60/-5 = 12
(x - 2)^2 = 16.
Solving the above:
Take the square root of both sides:
x - 2 = 4
x = 2 + 4
x = 6 seconds
Find the perimeter of the following figure
plsplspls
Answers
Answer:
30+4x
Step-by-step explanation:
Well, break it up into pieces: two rectangles.
The U.S. population in 1910 was 92 million people. In 1990, the population was 280 million. This could either be a linear or exponential model. You will create both and then look at the true population increase and decide which model is closer the the true growth.
The actual U.S. population data (in millions) was:
Which model provides a better forecast for the U.S. population for the year 2030, linear or exponential or neither?
Question 5 options:
Linear model
Exponential model
Neither
Answers
Answer:
The linear model means that there is a uniform increase and in this case of US population from 92 million people in 1910 to 250 million people in 1990 .
This means an increase of 250 − 92 = 158 million in 1990 -1910 = 80 years or 158 80 = 1.975 million per year and in x years it will become 92 + 1.975 x million people. This can be graphed using the linear function 1.975 ( x − 1910 ) + 92 ,
graph{1.975(x-1910)+92 [1890, 2000, 85, 260]}
The exponential model means that there is a uniform proportional increase i.e. say p % every year and in this case of US population from 92 million people in 1910 to 250 million people in 1990 .
This means an increase of 250 − 92 = 158 million in 1990 − 1910 = 80 years or
p % given by 92 ( 1 + p ) 80 = 250 which gives us ( 1 +p ) 80 = 250 92 which simplifies to p = ( 250 92 ) 0.0125 − 1 = 0.0125743 or 1.25743 % .
This can be graphed as an exponential function 92 × 1.0125743 ( x − 1910 ) , which gives population in a year y and this appears as graph{92(1.0125743^(x-1910)) [1900, 2000, 85, 260]}
Step-by-step explanation:
Hope this helps
1² x 1/4m² x (-6)ml find the product
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[tex]\\ \sf\longmapsto 1^2\times \dfrac{1}{4}m^2[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{4}m^2[/tex]
Now
[tex]\\ \sf\longmapsto \dfrac{1}{4}m^2\times -6m[/tex]
[tex]\\ \sf\longmapsto \dfrac{-6}{4}m^3[/tex]
[tex]\\ \sf\longmapsto \dfrac{-3}{2}m^3[/tex]
-2 1/3+(1 3/4 I need help for a test so if you guys can help me I'll be happy :D
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calculate the range of the following numbers: 11,13,15,9,19,12,21,14,10,15,16,8,11,11,10
Answers
Answer:
it should be 13
Step-by-step explanation:
Answer:
The Range is 13
Step-by-step explanation:
Mean (Average): 13
Median: 12
Range:13
Largest: 21
Smallest: 8
Sum: 195
Count: 15
(Hope this helps can I pls have brainlist (crown)☺️
[tex]14x=8x+30[/tex]
Answers
Answer:
5
Step-by-step explanation:
14x - 8x = 30
5x = 30
x = 6
..........
Answer:
solution
14x=8x+30
collect like terms
30=8x-14x
30= -6x
divide by -6x
30/-6 = -6x/-6
X= –5
[tex] \sf \: please \: answer \: and \: do \: not \: spam[/tex]
¢αяσυѕєℓ :)
It's based on integrals....
Answers
Hello Carousel!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Solve the integral.[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \tt \:\int \: \frac{ x + 2 }{( {x}^{2} + 3x + 3) \sqrt{x + 1}} \: dx \\ [/tex]
First, let's take I as ⇨ [tex]\tt \:\int \: \frac{ x + 2 }{( {x}^{2} + 3x + 3) \sqrt{x + 1}} \: dx \\ [/tex].
[tex]\tt \:I = \int \: \frac{ x + 2 }{( {x}^{2} + 3x + 3) \sqrt{x +1}} \: dx \\\tt \: I =\int \: \frac{ x + 2 }{( {x}^{2} + 2x + 1 + x + 2) \sqrt{x + 1}} \: dx \\ \tt \:I =\int \: \frac{ x + 2 }{( ({x + 1}^{2}) + x + 2) \sqrt{x + 1}}[/tex]
Let, x + 1 = m² => dx = 2mdm.
[tex]\tt \:I =\int \: \frac{ {m}^{2} + 1}{ {m}^{4} + {m}^{2} + 1 \cdot \: m} 2mdm \\ \tt \:I =\int \: \frac{ {m}^{2} + 1}{ {m}^{4} + {m}^{2} + 1 \cdot \: \bcancel{ m}} 2 \bcancel{m}dm \\ \tt \: I = \: \int \: \frac{ {m}^{2} + 1}{ {m}^{4} + {m}^{2} + 1 } 2dm[/tex]
Now, divide the numerator & denominator by m²....we'll get it as...
[tex]\tt \:I =2\int \: \frac{ 1 + \frac{1}{ {m}^{2} } }{ {m}^{2} + 1 + \frac{1}{ {m}^{2} } } \: dm \\\tt \: I =2\int \: \frac{ 1 + \frac{1}{ {m}^{2} } }{( {m}^{2} + \frac{1}{ {m}^{2} } - 2) + 3} \: dm \\\tt \: I =2\int \: \frac{ (1 + \frac{1}{ {m}^{2} }) \: dm }{ ({m} - \frac{1}{ m } ) ^{2} + 3} [/tex]
Now, let m - 1/m be t => (1 + 1/m²) dm = dt
[tex]\tt \:I =2\int \: \frac{ dt}{ {t}^{2} + 3 } \\ \tt \:I = 2\int \: \frac{ dt}{ {t}^{2} + ( \sqrt{3}) ^{2} }[/tex]
We know, [tex]\tt \:\int \: \frac{dx}{ {x}^{2} + a ^{2} } = \frac{1}{a} tan ^{ - 1} (\frac{x}{a} ) + c[/tex]...therefore...
[tex]\tt \:I = \frac{2}{ \sqrt{3} } {tan}^{ - 1} ( \frac{t}{ \sqrt{3} } ) + c \: \rightarrow \boxed{ \tt \: eq. \: 1}[/tex]
Now, substitute the value of 't' in eq. 1..we'll get..
[tex]\tt \:I = \frac{2}{ \sqrt{3} } {tan}^{ - 1} ( \frac{m - \frac{1}{m} }{ \sqrt{3} } ) + c \: \rightarrow \boxed{ \tt \: eq. \: 2}[/tex]
Now, substitute the value of 'm' in eq. 2...we'll get...
[tex] \tt \: I = \frac{2}{ \sqrt{3} } {tan}^{ - 1} ( \frac{ \sqrt{x + 1} - \frac{1}{ \sqrt{x - 1} } }{ \sqrt{3} } ) + c \\ \tt \:I = \frac{2}{ \sqrt{3} } {tan}^{ - 1} ( \frac{x + 1 - 1}{ \sqrt{3} \sqrt{x - 1} } ) + c \\ \boxed{\boxed{ \bf \: I = \frac{2}{ \sqrt{3} } {tan}^{ - 1} ( \frac{x }{ \sqrt{3 (x - 1} )} ) + c }}[/tex]
The correct answer is Option B.__________________
The question is really long & tricky but once you get the hang of it you'll be good. Good luck!__________________
Hope it'll help you!
ℓu¢αzz ッ
find value of each variable and the measure of each label (2x+32) (3x-5)
Answers
Answer:
Step-by-step explanation:
(2x+32) (3x-5)
(2x+3x) (32-5)
(5x*27)
hope this helps
Help me please!! i beg
Answers
Eat the Legendry Fruit: And play King legcy
Step-by-step explanation:
PLEASEEEEEE HELPPPPPPPPP
Answers
[tex]5x + 3 = - 9 \\ = > 5x = - 9 - 3 \\ = > 5x = - 12 \\ = > x = \frac{ - 12}{5} \\ = > x = - 2 \frac{2}{5} [/tex]
Answer:Option A .
[tex] - 2 \frac{2}{5} [/tex]
A coordinate plane with 2 lines. The first line is labeled y equals f(x) and passes through (negative 1, 2), (0, 2), and (2, 2). The second line is labeled y equals g(x) and passes through (negative 0.5, negative 2), points at (0, negative 1), and (1, 1). The lines intersect at (1.5, 2).
Use the graph to determine the input value for which f(x) = g(x) is true.
x = 0.5
x = 1
x = 1.5
x = 2
Answers
Answer:
1.5 Or C :)
Step-by-step explanation:
10.A class consist of 25 boys and 15 girls. A student is to be selected for the social work Find the probability that i)a girl is selected ii) a boy is selected
Answers
Step-by-step explanation:
[tex] \sf \pink{ ii) a boy is selected}[/tex]
Answer:
Um Sorry I Didn't Understand
A function f(x) is graphed on the coordinate plane at is the function rule in siope-intercept form? Enter your answer in the box f(x) =
Answers
9514 1404 393
Answer:
y = 2x +1
Step-by-step explanation:
The line rises 2 units for each 1 unit to the right, so its slope is ...
m = rise/run = 2/1 = 2
The line crosses the y-axis at y = 1, so the y-intercept is ...
b = 1
Then the slope-intercept form equation is ...
y = mx + b . . . . . . . for slope m and y-intercept b
y = 2x + 1 . . . . . . . . fill in the known values
what is the answer when you round 522 254 to the nearest 10
Answers
Answer:
522250
How to round to the nearest tenth:
Whenever you want to round a number to a particular digit, look only at the digit immediately to its right. For example, if you want to round to the nearest tenth, look to the right of the tenths place: This would be the hundredths place digit. Then, if it is 5 or higher, you get to add one to the tenths digit. If it is 4 or lower, the tenths digit remains the same.
For example, 3.58 can be rounded to 3.6 because the hundredths place digit, 8 is greater than or equal to 5.
3.32 would be rounded to 3.3, because the hundredths place digit, 2, is less than 5.
Danica and Irma are flying kites. Danica's kite is 7 times as high as Irma's kite. Danica's kite is 273 feet high. How high is Irma's kite?
A .280 feet
B. 39 feet
C. 1,911 feet
D. 40 feet
Answers
Answer:
39
Step-by-step explanation:
273/7=39
Answer:
What is 39 feet
273 Divided By 7= 39 Feet
Please allow me to know if it helped by rating or thank you heart
Have a happy day!
find the square root of 20 upon 121
Answers
Answer:
heres the square root of 20 4.47214 but i dont know what else to do for this answer. (sorry)
Step-by-step explanation:
√20 = √(4 * 5) = √4 * √5 = 2√5 ≈ 4.47214
8) A negative minus a negative will always, sometimes, never) be positive.
Give an example that proves your answer:
.
Answers
PLEASE HELP ME WITH GEOMETRY 15 POINTS
Answers
whats the y intercept
Answers
Answer:(0,4)
Step-by-step explanation:
the reason being the equation is y = 1/3x + 4.
Janelle's family earns about $60,000 per year. She has been accepted to State U and
Greenlawn College and is comparing their financial aid packages.
State U:
.
Sticker price = $28,000
• Net price = $12,000
Greenlawn College:
• Sticker price = $60,000
• Net price = $9,000
Which statement below is TRUE?
Answers
Based on the evaluation of information given, the true statements for the option are ;
state university has a lower sticker price than greenlawn.greenlawn college is providing janelle more grants and scholarships.one factor that impacts net price is family income.Given the packages for State University and Greenlawn College :
Grants and scholarships = Sticaker price - net priceGreen lawn scholarship = $60000 - $9000 = $51000
State university = $28000 - $12000 = $18000
The net price is the amount which the student actually pays for entry. Hence, Green lawn College is the best option for Janelle if decison is strictly based on cost.
A sticker price of $28000 is lesser than $60000. Hence, State University has a lower sticker price.
In determining, net price, the family income is a strong factor which is usually considered.
Hence, the false statement is ; if making a decision strictly based on cost, janelle's' best option is state university
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hello can anyone help?
Harry drives 182 miles.
His average speed is 35 miles per hour.
How long does the journey take?
Give your answer in hours and minutes.
Answers
Answer:
5 hours 12 minutes
Step-by-step explanation:
Amount of time the journey took = 182 miles ÷ 35 miles/h
= 5.2h
= 5h 12mins
By which rule are these triangles congruent
A. AAS
B. ASA
C. SAS
D. SSS
Answers
Answer:
option D
Step-by-step explanation:
this trianle will be congurent by SSS method easily
Answer:
Option D.SSS These triangles congruent with SSS property
Based on what you've read, answer the following questions.
1. Laura bought a rectangular rug for her living room. It measures 9 feet long and 8 feet wide. What is the area of her rug?
2. One can of paint will cover an area of 400 square feet. Will one can of paint be enough to cover an exterior brick wall that is 48 feet long and 9 feet high?
3. Roger owns a one-acre piece of land. The length of the land is 484 feet. What is the width of his property? (Hint: One acre = 43,560 square feet)
4. The Animal World Safari Park is a rectangular piece of land with an area of 323 square miles. The length of the park is 17 miles. What is its width?
5. Penny is making a square tablecloth that has an area of 49 square feet. What is the length of one of its sides?
Answers
Answer:
1. The area is 72 ft².
2. No, one can of paint will not be enough.
3. The width of his property is 90 ft.
4. The width of the park is 19 miles.
5. The length of a side is 7.
Step-by-step explanation:
We will use the formula Area = length x width to answer the questions.
1. 9 x 8 = 72
2. 48 x 9 = 432, 432 > 400
3. 43560/484 = 90
4. 323/17 = 19
5. √49 = 7
Hope this helps!
Answer:
1. The area is 72 ft².
2. No, one can of paint will not be enough.
3. The width of his property is 90 ft.
4. The width of the park is 19 miles.
5. The length of a side is 7.
Step-by-step explanation:
