Answer:
Step-by-step explanation:
m∠1 = x
m∠2 = 3x
m∠3 = ( [tex]\frac{1}{3}[/tex] )(3x) = x
x + 3x +x = 180°
x = 36°
m∠1 = 36°
m∠2 = 108°
m∠3 = 36°
:∫ PLZZ help ;⊃ plz no playing around I need actual answer
Answer:
d.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
15/10 goes down to 3/2 divide 15 by 5
21/14 goes down to 3/2 divide 21 by 7
How many different four digit alarm codes can be form for a house alarm be 2,4 or 9 and all the other digits can be any number and numbers can be repeated
Answer:
Bro, are you trying to break into someone's house of somethin?
Step-by-step explanation:
(07.03)
What is the solution to the following equation? (4 points)
5(2x - 6) + 20 = 10
a
9 5
Ob
3
2
x = 2
5(2 • 2 - 6) + 20
5(2x - 6 )+ 20 = 10
10x - 30 + 20 = 10
10x - 10 = 10
+10 +10
10 / 10x = 20 / 10
x = 2
PLEASE HELP!!!!
The state of Texas did a random sample of the weight of 15 year old boys. The 10 boys they sampled had a total weight of 1250 pounds. What is the best guess (point estimate ) for the average weight of 15 yearold boys in Texas?
1250/10=125
Hope this helps and have and AWESOME night!!! :)
3x = 0.5.x2
o o
O x= -6 or x = 0
O
x= -4 or x = 3
o
x = -2 or x = 1.5
x = 0 or x = 6
Answer:
the answer is x=0 or x=6, hope this helps
If the circumference of the circle is 24 inches what is the
approximate diameter
Answer:
7.64 in.
Step-by-step explanation:
The diameter of the circle whose circumference is 24 inches is 7.654 inches.
What is a circle?A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius).
Given:
The circumference of the circle, C = 24 inches,
Calculate the radius of the circle as shown below,
Circumference = [tex]2\pi r[/tex]
C = 2 × π r
r = 24 / 2π
r = 3.819
r = 3.82 inches
Calculate the diameter as shown below,
Diameter = 2 × r
Diameter = 2 × 3.82
Diameter = 7.639 inches
Thus, the diameter is 7.64 inches.
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Please help me with this
Answer:
$62.50
Step-by-step explanation: 250 divided by 4 equals $62.10
What is the first thing you do before solving an adding fraction problem
Pls help
Answer:
The first thing you do is make the denominators equal on both sides.
Step-by-step explanation:
As a example if you have the equation:
[tex]\frac{1}{2}[/tex] + [tex]\frac{2}{5}[/tex] =
you would multiply the denominator by the smallest multiple. I would do 2 * 5= 10
this would make the equation
[tex]\frac{x}{10} + \frac{x}{10} = ...[/tex]
next you have to do the same with the numerator.
so sence you multiplied the [tex]\frac{1}{2}[/tex] by five you will get [tex]\frac{5}{10}[/tex]
same with the other fraction except you multiplied it by two.[tex]\frac{2}{5}[/tex] x 2 = [tex]\frac{4}{10}[/tex]
next you add and simplify if needed
Answer:
3 simple steps
Step-by-step explanation:
1. Make sure the bottom numbers ( the denominators ) are the same
IF DIFFERENT find the LCD
2. Add the top numbers (the numerators )
3. simplify the fraction if needed
ex: 1/4 +1/4 = 2/4 (bottoms were the same) simplify 1/2
1/3 + 1/6 LCD of 3 and 6 so make the bottom numbers 6
so multiply 1/3 x 2 = 2/6
now you have 2/6 + 1/6 = 3/6 simplify 1/2
If triangle ABC is equilateral, and side AC is 7m long, how long is side BC?
Answer:
7m
Step-by-step explanation:
In an equilateral triangle all the sides and angles are the same
can someone help me with this?
Answer:haha no
Step-by-step explanation:
4.5.36
A smoke jumper jumps from a plane that is 1500 ft above the ground. The function h= - 16t^2+ 1500 gives the jumper's height h in feet during the free fall att seconds
a. How long is the jumper free fall if the parachute opens at 1000 ft?
b. How long is the jumper in free fall if the parachute opens at 940 ft?
c. What is a reasonable domain and range for the function h?
We have a jumper that jumps from 1500ft above the ground, such that its height as a function of time is given by:
h(t) = -16*t^2 + 1500
The solutions are:
A) 5.59 seconds
B) 5.91 seconds
C) D = (0s, 9.68s)
R = [0ft, 1500ft]
Notice that when t = 0, h = 1500, then at the initial time (t = 0) the height is 1500 (in ft), which means that the zero of the height is the ground.
a) How long is the jumper free fall if the parachute opens at 1000 ft?
Here we need to solve:
h = 1000 = -16*t^2 + 1500
Now we just need to solve this for t:
16*t^2 = 1500 - 1000 = 500
t^2 = 500/16 = 31.25
t = √31.25 = 5.59
So it takes 5.59 seconds to open the parachute.
B) similar to before, this time we need to solve:
h = 940 = -16*t^2 + 1500
16*t^2 =1500 - 940 = 560
t^2 = 560/16 = 35
t = √35 = 5.91
So it takes 5.91 seconds to open the parachute.
C) The domain is the set of inputs that we can use in the function.
The minimum of the domain is t = 0, when the jumper jumps.
To find the maximum of the domain we need to find the maximum time at which he could open the parachute, that is when h = 0ft, just in the ground.
Then we solve:
h = 0 = -16*t^2 + 1500
16*t^2 = 1500
t = √(1500/16) = 9.68
Then a reasonable domain is (0s, 9.68s)
And the range is the set of possible outputs, which will be all the possible heights of the jumper. We know that all of these are between 0ft and 1500ft, thus the range is [0ft, 1500ft]
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(HELP 50 POINTS)
A beach lifeguard wants to create the largest triangular area he can with three lengths of rope to provide beach goers with maximum amount of space to play and swim in the water. Multiple buoys are attached to each rope in order to identify the designated swimming area. The first rope is 42 feet long, the second is 50 feet long, and then the third is 107 feet long. The lifeguard can only cut one of the ropes in order to create a triangle with the largest possible perimeter. How much rope, in feet, will be remaining after the lifeguard creates the designated swimming triangle? (Note: answer should be a whole number.)
Answer:
16
Step-by-step explanation:
I am doing Prepworks Basic triangles as well :D
8 more than the quotient of a number and 2 is 14. find the number
Answer:
x = 12
Step-by-step explanation:
x/2 + 8 = 14Subtract 8 from both sides because it is the inverse operation of addition. x/2 = 6Multiply both sides by 12 because it is the inverse operation of division. x = 12Answer this please thanks
Answer:
The answer is yes, since the graph is an equal line throughout.
Step-by-step explanation:
What is the factored form of the equation 4x^2-11+6=0
Answer:
(4x−3)(x−2)=0
Step-by-step explanation:
Step-by-step explanation:
4x²-11+6=0
4x²-5=0
x²=5
4
x=√5
4
hope it help u
The length of the rectangle is 3ft less than twice the width,and the area of the rectangle is 27ft^2,find the diameter
Answer:
The dimensions of rectangle are:
width = w = 4.5 ftlength = l = 6 ftStep-by-step explanation:
Let 'l' be the length and 'w' be the width of the rectangle
The length 'l' of the rectangle is 3ft less than twice the width 'w'.so
[tex]l=2w-3[/tex]
Also, the area of the rectangle is 27ft^2.
[tex]A=27\:ft^2[/tex]
As the area of the rectangle has the formula:
[tex]\:A\:=\:l\times w[/tex]
so
[tex]27=\:l\times w[/tex]
so the equation becomes
[tex]27=\left(2w-3\right)\times \:w[/tex]
[tex]27=2w^2-3w[/tex]
[tex]2w^2-3w-27=0[/tex]
[tex]\left(w+3\right)\left(2w-9\right)=0[/tex]
if [tex]ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]
[tex]w+3=0\quad \mathrm{or}\quad \:2w-9=0[/tex]
[tex]w=-3,\:w=\frac{9}{2}[/tex]
as the width can not be negative, so
[tex]w=\frac{9}{2}=4.5[/tex] ft
As
[tex]l=2w-3[/tex]
[tex]l=2\left(4.5\right)-3[/tex]
[tex]l=9-3[/tex]
[tex]l=6[/tex]
So the dimensions of rectangle are:
width = w = 4.5 ftlength = l = 6 ftf(x) = x2 – 2x +1
Find y-intercept and vertex
Answer:
Your answer is: The x-intercept is [tex](1 , 0)[/tex] and your y-intercept is[tex](0 , 1 )[/tex].
Your vertex is [tex](1 , 0)[/tex]
Step-by-step explanation:
In order to find the y-intercept you had to to find the x-intercept, substitute in 0 for y and solve for x . To find the y-intercept, substitute in 0 for x and solve for y.
In order to find the vertex you had rewrite the equation in vertex form and use this form to find the vertex [tex](h , k)[/tex].
Hope this helped : )
What's a rule you could apply to any number that would predict which denominators will terminate
9514 1404 393
Explanation:
The decimal equivalent of a fraction will terminate if its denominator can be factored using only the prime numbers 2 and/or 5.
1/4 = 1/(2·2) will terminate
1/15 = 1/(3·5) will not terminate
I NEED HELP WITH B AND E
There are 40 students in a class.
Each student walks to school or cycles to school or gets the bus to school
There are 22 girls in the class.
9 of the girls walk to school.
7 of the boys cycle to school.
6 of the 10 students who get the bus to school are boys.
Find the number of these students who walk to school.
Step-by-step explanation:
Total no. of students = 40
Total no. of girls = 22
Total no. of boys = 40 - 22 = 18
No. of girls walking to school = 9
No. of girls who cycle to school = 22 - 9
No. of boys who cycle to school = 7
No. of students who take the bus = 10
(6 boys and 4 girls)
No. of boys who walk to school = 18 - (7 + 6) = 5
Total no. of students who walk to school = 9 + 5 = 14
The number of students who walked to school was 14 students
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The equations will be ,
Let the total number of students in the class be A = 40 students
The number of girls in the class = 22 students
The number of boys in class = total number of students - number of girls
= 40 - 22
= 18 students
Now ,
The number of girls who walked to school = 9 students
The number of boys who cycled to school = 7
So , remaining boys = 18 - 7
= 11 students
The number of boys who take bus to school = 6 students
So , remaining boys = 11 - 6
= 5 students
Therefore , the remaining boys in the class walks to school = 5 students
So , the equation will be
And , the total number of students who walked to school =
number of boys in the class that walks to school + number of girls who walked to school
Total number of students who walked to school = 9 + 5
= 14 students
Hence , The number of students who walked to school was 14 students
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Classify the following triangle by its side lengths:
Answer:
Isosceles triangle
Step-by-step explanation:
all sides the same=scalene triangle
2 sides the same=isosceles triangle
all sides the same=equilateral triangle
Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. (Enter your answers as a comma-separated list.)f(x) = 3 â 48x + 4x2, [5, 7]
Answer:
Step-by-step explanation:
The given equation is:
f(x) = 3 - 48x + 4x² [5,7]
where; f(x) is continous and derivable in [5,7]
f'(x) = -48x + 8x
f(5) = 3 - 48(5) + 4(5)² = -137
f(7) = 3 - 48(7) + 4(7)² = -137
Thus, it satisfies the hypotheses of Rolle's Theorem
f'(x) = f'(c) = 0
-48 + 8c = 0
c =48/8
c = 6
The linear equation when b= 5 and m = -2 is O y = 5x – 2. Oy= 5x + 2. y = -2x - 5. O y = -2x + 5
Answer:
y = -2x + 5
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define given
y-intercept b = 5
Slope m = -2
Step 2: Write function
y = -2x + 5
Nick volunteers at the library shelving books.
The graph shows how many books Nick shelves one Saturday.
Graph of a diagonal line on a coordinate plane with ALTDCTime in hoursALTDC on x-axis and ALTDCNumber of BooksALTDC on y-axis. The diagonal line is going up and to the right. Line passes through points (0, 0), (2, 60) and (4, 120).
Part A
How many books does Nick shelve in 2 hours? Enter your answer in the box.
books
Part B
What does the point (3, 90) represent on the graph?
A.
Nick volunteers 90 hours in 3 weeks.
B.
Nick earns $90 in 3 weeks.
C.
Nick shelves 90 books in 3 hours.
D.
Nick shelves 90 books on 3 Saturdays.
Answer:
B: A
He earns $90 in 3 weeks.
C
He shelves 90 books in 3 hours.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Raul Del Valle's gross weekly salary is S615. His weekly federal withholding is S55. The Social Security tax is
6,2% of the first $97.500 he earns. The Medicare tax is 1.45% of gross pay. The state tax is 1.5% of gross pay.
Each week he pays $12.40 for medical insurance. How much is deducted from Raul's weekly wages for state tax
and Medicare tax?
Answer:
Step-by-step explanationjiuijkk8
u:
Can sumone please help me w this question? It math. 10 points. What is the value of r in the equation 3r − 6 = 18?
A restaurant bill is $75. You want to leave about a 20% tip. Which is a 20% tip?
(04.04 LC)
On a coordinate grid, point T is at (2,-4) and point Sis at (2,6). The distance (in units) between points T and Sis
numbers, such as 2.) (5 points)
(Input only whole
Answer:
The distance 'd' between T and S:
[tex]d=10[/tex]Step-by-step explanation:
As the point 'T' is located at (2, -4)
So, the point 'T' has the coordinates (2, -4)And the point 'S' is located at (2, 6)
So, the point 'T' has the coordinates (2, 6)The distance 'd' between T and S can be computed using the formula:
[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]=\sqrt{\left(2-2\right)^2+\left(6-\left(-4\right)\right)^2}[/tex]
[tex]=\sqrt{\left(2-2\right)^2+\left(6+4\right)^2}[/tex]
[tex]=\sqrt{0+10^2}[/tex]
[tex]=\sqrt{10^2}[/tex]
[tex]d=10[/tex]
Therefore, the distance 'd' between T and S:
[tex]d=10[/tex]Answer:
t and s
Step-by-step explanation:
Alan bought 5 feet of fabric. How much is this in yards
Answer:
15 yards.
Step-by-step explanation:
This is because there are 3 feet in one yard, and 5x3= 15.
Answer:
1.66667
Step-by-step explanation:
4:9 is an equivalent ratio to 36:__
Answer:
36:81
Step-by-step explanation:
4 to 36 is times 9, so you have to multiply 9 by 9 to complete the ratio which is how you get 81.