Angles 1 and 2 are complementary angles. The measure of angle 1 is 42 degrees, and the measure of angles 2 is (3x) degrees. Find the value of x.
Answers
Answer:
Step-by-step explanation: What grade math homework is this?
Related Questions
13/6 renamed as a mixed number
Answers
Answer:
2 1/6
Step-by-step explanation:
13/6 is 6/6 + 6/6 + 1/6... each 6/6 = 1 sooo. 2 and 1/6 :)
orrr
6*2 is 12 (closest multiple of 6 to 13, so 2 is whole number w/ 1(/6) as a remainder
13 divided by 6 is 2 w one remaining. since 2 is a whole number it goes in front & the remainder goes over 6
which graph represents the solution set of this inequality?
please help!!!
Answers
Answer:
C is the correct answer due to two-step inequality process
Step-by-step explanation:
Your inequality is: 5a + 18 < -27
First, you must remember that the < or > shall not be shaded in.
You could automatically eliminate answer A.
Now you need to do two-step inequalities which is the same thing as two-step equations but with an inequality sign.
5a + 18 < -27
5a < -27-18
5a < -45
**Now, here's something important: If you are multiplying with negatives while dealing with inequalities you must switch the sign to its opposite.
-9 > a
You need to find a number line that has numbers less than -9. It could be -10, -11, -12, -122, etc.
C is the correct answer.
Part A
Which statements are central ideas of Library on Wheels: Mary Lemist Titcomb and America's First Bookmobile?
Select the two correct answers.
Mary was not afraid to be a pioneer.
Mary worked hard to better the library experience.
Mary believed libraries were mainly for the rich.
Mary's friends supported her decision to move to Maryland.
Question 2
Part B
Which two details from the text best support the answers in Part A?
"But Mary, always independent, was eager to take on this new challenge."
"'…It remained for Miss Titcomb to show us that libraries are intended for the middle class of people, the working man and woman and children particularly.'"
"She continually looked for ways to improve librarianship, to render it both more efficient and more far-reaching."
"Mary's friends and family thought it would be unwise for her to leave her secure position in Vermont to go by herself to rural Maryland."
Answers
Answer:
Part 1:
A. Correct
B. Correct
Part 2:
A. Correct
C. Correct
Answer:
I got 100 % on the quiz
Step-by-step explanation:
check the photo below for the awnser
Find f(3) if f(x) = 4x + 12.
Answers
A football is thrown into the air from an initial height of 4 feet with an upward velocity of 46 ft/sec. The function h = -16t² + 46t + 4 gives the height after t sec.
whats the vertex?
axis of symmetry?
solutions?
2 other points?
and i know the balls max height is 37.06
Answers
Answer:
Vertex = (1.4375, 37.0625)
Axis of symmetry: t = 1.4375
x-intercept: (2.9595, 0)
y-intercept: (0, 4)
another point: (2, 32)
Step-by-step explanation:
Given function: [tex]h(t)=-16t^2+46t+4[/tex]
(where h is the height in feet and t is the time in seconds)
The vertex is the turning point of the parabola.
To find the x-value of the turning point, differentiate the function:
[tex]\implies h'(t)=-32t+46[/tex]
Set it to zero:
[tex]\implies h'(t)=0[/tex]
[tex]\implies -32t+46=0[/tex]
Solve for t:
[tex]\implies 32t=46[/tex]
[tex]\implies t=\dfrac{23}{16}[/tex]
Input found value of t into the function to find the y-value of the vertex:
[tex]\implies h(\frac{23}{16})=-16(\frac{23}{16})^2+46(\frac{23}{16})+4=\dfrac{593}{16}[/tex]
Therefore, the vertex is [tex]\left(\dfrac{23}{16},\dfrac{593}{16}\right)[/tex] or (1.4375, 37.0625) in decimal form.
The axis of symmetry is the x-value of the vertex.
[tex]\implies \textsf{Axis\:of\:Symmetry}:t=\dfrac{23}{16}=1.4375[/tex]
To find the x-intercepts, use the quadratic formula.
Quadratic Formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]
[tex]\implies t=\dfrac{-46 \pm \sqrt{46^2-4(-16)(4)} }{2(-16)}[/tex]
[tex]\implies t=\dfrac{-46 \pm \sqrt{2372}}{-32}[/tex]
[tex]\implies t=\dfrac{23 \pm \sqrt{593}}{16}[/tex]
As time is positive,
[tex]\implies t=\dfrac{23 + \sqrt{593}}{16}=2.959474458...\:\sf s\quad only[/tex]
The y-intercept is when t = 0:
[tex]h(0)=-16(0)^2+46(0)+4=4[/tex]
So the curve intercepts the y-axis at (0, 4)
Because of the modelling of the function, there will be a restricted domain: 0 ≤ t ≤ 2.9595
Therefore, to find another point, input a value in the domain into the function and solve:
[tex]t=2 \implies h(2)=-16(2)^2+46(2)+4=32[/tex]
⇒ (2, 32)
Mark works 40 hours per week at a store.
He earns $8.75 per hour.
Each week $36 is deducted from his paycheck for taxes.
how much money does mark earn, after taxes have been deducted,during a 4-week period
A. $314
B. $386
C. $1,256
D. $1,364
Answers
Answer
not to sure but i think its number 3
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
What is the final answer ?
Answers
Answer:
16 feet
Step-by-Step Explanation:
If you graph it, the vertex will be (3,16) and that means 16 feet is the maximum height of the diver.
Jenna's has invested 3000 at a 5% Simple rate how much interest will she earn in three years
Answers
Answer:
simple interest=Principal +Time+Rate÷100
Interest=3000+3+5÷100=3005.03
interest=3005.03
Determine values of m, n, p, and q so that
Answers
Answer:
Step-by-step explanation:
[tex]\frac{x^{2}+mx+n }{9-x^{2} } /\frac{x^{2} +6x-16}{x^{2} +px+q} = \frac{-x+3}{x+8}[/tex]
Change the division of the two fractions in to multiplication
[tex]\frac{x^{2}+mx+n }{9-x^{2} } * \frac{x^{2} +px+q}{x^{2} +6x-16} = \frac{-x+3}{x+8}[/tex]
Factor what we can
[tex]\frac{x^{2}+mx+n }{(3-x)(3+x)} * \frac{x^{2} +px+q}{(x-2)(x+8)} = \frac{(3-x)}{x+8}[/tex]
Cross multiply and simplify (x+8)/(x+8)
(x² +mx +n) (x² +px +q) = (x -3) (x -3) (x +3)( x -2)
Now we look to see what values for m, n, p, and q will give those factors.
m= 1 n= 2 p= 3 q= 4
(x² +x +2) (x² +3x +4) ≠ (x -3) (x -3) (x +3)( x -2) ❌
m= 1 n= -6 p= -6 q= 9
(x² +x -6) (x² -6x +9) = (x+3)(x-2) (x-3)² ✅
m= -5 n= 6 p= 0 q= -9
(x² -5x +6) (x² -9) = (x-3)(x-2)(x-3)(x+3)✅
m= 7 n= -4 p= 2 q= 0
(x² +7x -4) (x² +2x) ≠ (x-3)(x-2)(x-3)(x+3)❌
m= 3 n= -6 p= 1 q= 7
(x² +3x -6) (x² +x+7) ≠(x-3)(x-2)(x-3)(x+3)❌
m= -6 n= 9 p= 1 q= -6
(x² -6x +9) (x² +x -6) = (x-3)(x-3)(x-2)(x+3)✅
m= 0 n= -9 p= -5 q= 6
(x² -9) (x² -5x +6) ≠(x-3)(x-3)(x+3)(x-2)❌
A lizard is 412 inches long.
How long is the lizard in centimeters?
Answers
Answer: 1046.48cm
Step-by-step explanation: Multiplying by 2.54 To convert
A copy machine makes 44 copies per minute. How many copies does it make in 4 minutes and 15 seconds?
Answers
Answer: 102 copies
Step-by-step explanation:
4 minutes and 15 seconds are 4.25 minutes, so it will make 102 copies in that time
If there are 44 copies made in 4 minutes; 44 (copies) x 4 (minutes) = 176 copies
To find how many copies are in a fraction of a minute
Divide 44 by whatever value your time frame is by 60; 44 / (60/15) = 11 copies
176 copies + 11 copies = 187 copies in 4 minutes and 15 seconds
please help! What fractional part of one semicircle does the labeled angle represent? Express
your answer as a fraction in simplest terms. Then, express the labeled angle in radian
measure.
225°
Answers
Answer:
Fraction: 5/8
Radians: 5pi/4 Radians
Step-by-step explanation:
1A Fraction
A circle has a total of 360 degrees, in order to solve the first part we must use this preknowledge.
As we are given 255 degrees, we simply order a fraction:
Degrees Given/360 Hence,
255/360
Simplify
5/8
1B Radians
In order to convert degrees to radians we use a simple trick, we must multiply the degree measure (225) by pi/180 because a full circle = 2pi radians or 360 degrees hence,
225 x pi/180
Simplify
5pi/4 radians
How do you solve this
Answers
Answer:
x = 8
Step-by-step explanation:
Use the Intersecting Chords Theorem...
Help me please thanks
Answers
5(w. 9)
hope it really helps...!!!
A volleyball player hits a ball from a height of 6 feet with an initial vertical velocity of 16 feet per second. What is the maximum height of the volleyball? Assuming it is not hit by another player, when will the volleyball hit the ground? Round the answers to two decimal places if necessary.
The maximum height of the volleyball is ___
feet.
The volleyball will hit the ground after ___
seconds.
Answers
Considering a quadratic equation, it is found that:
The maximum height of the volleyball is of 19.06 feet.The volleyball will hit the ground after 3.6 seconds.What is the quadratic equation for an object's height?Considering the height in feet, it is given by:
h(t) = -4.9t² + v(0)t + h(0)
In which:
v(0) is the initial velocity.h(0) is the initial height.In this problem, we have that h(0) = 6, v(0) = 16, hence the equation is given by:
h(t) = -4.9t² + 16t + 6
Which is a quadratic equation with coefficients a = -4.9, b = 16, c = 6. Hence the maximum height is found as follows:
[tex]\Delta = b^2 - 4ac = 16^2 - 4(-4.9)(6) = 373.6[/tex]
[tex]h_{MAX} = -\frac{\Delta}{4a} = -\frac{373.6}{-4(4.9)} = 19.06[/tex]
The maximum height of the volleyball is of 19.06 feet.
It hits the ground at the roots, hence:
The solutions are:
[tex]x_1 = \frac{-16 + \sqrt{373.6}}{-9.8} = -0.34[/tex]
[tex]x_2 = \frac{-16 - \sqrt{373.6}}{-9.8} = 3.6[/tex]
Time is a positive measure, hence:
The volleyball will hit the ground after 3.6 seconds.
More can be learned about quadratic equations at https://brainly.com/question/24737967
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7 pounds of turkey cost $21
Answers
Answer:
1 pound of turkey is 3 dollars
Step-by-step explanation:
Answer:
1 lb of turkey costs 3$
Step-by-step explanation:
You divide the cost by the pound to find the answer
21/7 =3
Describe the difference between rotation and revolution. Your answer should include a definition of each as well as what each one causes.
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Answer:
Rotation" refers to an object's spinning motion about its own axis.
"Revolution" refers the object's orbital motion around another object.
For example, Earth rotates on its own axis, producing the 24-hour ( a day.)
Earth revolves about the Sun, producing the 365-day (a year).
Which of the following equations does not have an x-intercept? Select all that apply.
A) y=x+0
ОВ) y=x
C) y=0x + 3
OD) y=0
E)y=5
F) y 3x+0
Answers
We can conclude from the slope intercept result, the equation with no x-intercept is C) y=0x + 3, D) y=0, E) y=5
What is slope intercept?In mathematics, the slope-intercept form of a linear equation is an equation of the form y = mx + b, where m is the slope of the line and b is the y-intercept, which is the point on the line where it intersects the y-axis.
Because it allows you to easily view the line and identify its slope and y-intercept, the slope-intercept form is a useful way to describe a line's equation. The slope of the line denotes its steepness, while the y-intercept indicates where the line intersects the y-axis.
The x-intercept of an equation is the point at which the equation's graph intersects the x-axis. When the value of y is zero, something happens. As a result, an equation lacks an x-intercept horizontal line that does not intersect the x-axis.
C) y=0x + 3 (A horizontal line with a y-intercept of 3 that does not cross the x-axis.)
D) y=0 (This is a horizontal line that passes through the origin but does not intersect the x-axis.)
E) y=5 (This is a horizontal line that passes through (0,5) but does not cross the x-axis.)
F) y=3x+0 (This is a straight line travelling through the origin and does cross the x-axis) (This is a straight line passing through the origin and does cross the x-axis)
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Answer:
C and E
Step-by-step explanation:
because i did the assignment and got it right
PLS HELP!!!!
No links pls and Ty<33!!!!
Answers
Answer:
r=20
d=40
40*3.14=125.6
circumference = 125.6
Step-by-step explanation:
If you donate $150 in total a year , How much money did you donate on the first month of the year.
Answers
Answer:
$12.50
Step-by-step explanation:
You donate $150 in total in a year.
To find out how much you donated on the first month, remember the relation between a year and number of months.
⇒ 1 year = 12 months
⇒ 1 month = 1/12 year
Finding the amount donated
Divide the money donated in a year by 12$150/12$12.50Find the value of x using the diagram below
Answers
Answer:
x=19
Step-by-step explanation:
9x-17
(9*19)-17
=95
5*19=95
if you put 19 in x you will get the same degree
Sam has 3 candy bars and he wants to divide them into 8 equal portions to give to friends. What fraction will each person receive?
Answers
Answer: [tex]\frac{3}{8}[/tex] of the 3 candy bars
Step-by-step explanation:
We will divide the total number of candy bars by the portions.
3 candy bars / 8 portions = [tex]\frac{3}{8}[/tex]
Each friend will receive [tex]\frac{3}{8}[/tex] of the 3 candy parts
. A rectangular tank is 32 cm wide and 45 cm long. It
contains three identical plastic water plants and is
filled with water to a height of 10 cm. When Amy
pulls all three plastic water plants out of the tank,
the height of the water drops to 8 cm. Find the
volume of one plastic water plant.
PLEASE HELP!! WILL GIVE BRAINLIEST
Answers
Answer: 960^3 cm or 960 cubic centimeters
Step-by-step explanation:
Cubic because measuring 3 dimensions.
32x45 = area of given face
32x45= 1440
height of water = 10 cm
so,
area of given face x 10 =
32x45x10 or lxwxh (Volume)
so
1440x10= 14,400
1440x8= 11,520
so 14,400 - 11,520 = 2880
V of three plants = 2880
so, 2880/3 = volume of one plant
2880/3=960
V of singe plant = 960 units ^ 3
The difference in volumes represents the total volume of three plants, so answer should be divided by 3.
Hope This Helped!
Answer: one plastic water plant volume = 960 cm³
Step-by-step explanation:
Total volume = Water Volume + 3 plants volume
Total Volume = 32 cm x 45 cm x 10 cm = 14 400 cm³
Water volume = 32 cm x 45 cm x 8 cm = 11 520 cm³
3 Plants volume = 14,400 cm³ - 11,520 cm³ = 2880 cm³
1 Plant volume = 2,880 cm³ : 3 = 960 cm³
PLS HELP!!! No links pls and Ty <3333
Answers
Answer:
The area is 176.6
Step-by-step explanation:
The formula for the area of a circle is "πr²"
This means you square the radius, and multiply it by pi.
Our diameter is 15, and the radius is half of the diameter.
15 ÷ 2 = 7.5
Next, we square the radius. (7.5)
Let's fill it into the formula.
π7.5²
After squaring, it's this:
π56.25
In your question, pi is 3.14, so let's replace that.
(3.14)56.25
After multiplying we get 176.625, after we round, we get 176.6
176.6 is the area.
Brainliest please?
Answer:
The area is 176.6
Step-by-step explanation:The formula for the area of a circle is "πr²"This means you square the radius, and multiply it by pi.Our diameter is 15, and the radius is half of the diameter.15 ÷ 2 = 7.5Next, we square the radius. (7.5)Let's fill it into the formula.π7.5²After squaring, it's this:π56.25In your question, pi is 3.14, so let's replace that.(3.14)56.25After multiplying we get 176.625, after we round, we get 176.6176.6 is the area.
Step-by-step explanation:
What is the product? (2 x minus 1)(x 4) 2 x squared minus 4 2 x squared 4 2 x squared 7 x minus 4 2 x squared minus 7 x minus 4
Answers
The product of the given equation (2x - 1)(x +4) is 2x^{2} +7x -4.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
The given expression is
[tex](2x - 1)(x +4)[/tex]
Multiply term by term,
[tex]2x \times x + 2x \times 4+ (-1)\times x + (-1)\times 4\\2x^{2} +8x -x -4\\2x^{2} +7x -4[/tex]
Thus, The product of the given equation is [tex]2x^{2} +7x -4[/tex].
Learn more about quadratic equations;
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Please help i will give brainliest
Answers
Answer:
c
Step-by-step explanation:
Answer:
its C bro i dont copy her/he
dont be suspiciousful
Step-by-step explanation:
ita right mark me as brainlest
If an orthocenter lies inside of a triangle, then the triangle must be
isosceles.
obtuse.
right.
acute.
Answers
Answer:
acuteStep-by-step explanation:
Remember :the orthocenter of a triangle is the point of concurrency of the 3 altitudes.
[tex]\large \text{If an orthocenter lies inside of a triangle, then the triangle must be}\ :\\\\\large isosceles. \\\\\large obtuse. \\\\\large right. \\\\\large acute \checkmark[/tex]
If an orthocenter lies inside of a triangle, then the triangle must be acute.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Orthocenter of a triangle is the intersection of any two of three altitudes of a triangle.
The third altitude usually pass through the point of the first two altitudes.
When the orthocenter lies inside a triangle, the angles formed by the intersection of the three altitudes is less than 90 degrees.
An acute triangle is a type of triangle whose angles are less than 90 degrees.
Hence, If an orthocenter lies inside of a triangle, then the triangle must be acute.
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Given C = 119º, B= 44°, and c = 15, use the
Law of Sines to solve the triangle for the
value of a. Round answer to two decimal
places.
Answers
Step-by-step explanation:
A+B+C=180° (Sum of angles in a triangle)
A+44°+119°=180
A+163°=180°
A=17°
Using Sine Rule
a/Sin A=c/Sin C
Subtitute the value of A, c and C into the formula
a/Sin 17°=15/Sin 119°
Cross Multiply
a=15Sin17°/Sin119°
a=5.01 (2 d.p)
Need help with this problem
Answers
Answer: B) 86°
Step-by-step explanation:
The angles of a triangle always add to equal 180.
So let's call the third angle x and add the other two angles with it.
32+62+x=180
94+x=180
Now we solve for x
Subtract 94 from both sides
94-94+x=180=94
x=86
Samantha has 67 cents in her pocket. Write two coin combinations she could have that would equal the same amount
Answers
she could have that would equal the same amount.
Answer:
Given
Samantha have 67 cents
penny
1 cent
$0.01
nickel
5 cents
$0.05
dime
10 cents
$0.10
quarter
25 cents
$0.25
6 dimes, 1 nickels and 2 pennies
makes 67 cents
2 quarters, 2 nickels and 2 pennies
makes 67 cents.