If an orthocenter lies inside of a triangle, then the triangle must be
isosceles.
obtuse.
right.
acute.
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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Is 6x^-3x a polynomial
hello brainly team I need help
Answer:
5)
x=13.856
y=8
6)
u=4
v=3.464
Step-by-step explanation:
5)
y=hypothesis * sin(opposing angle)/sin(angle opposite of hypothesis)
y = 16*sin(30)/sin(90)
y=8
x=hypothesis * sin(opposing angle)/sin(angle opposite of hypothesis)
x=16*sin(60)/sin(90)
x=13.856
6)
sinA/(opposite of angle A) = sinB/(opposite side of angle B) = sinC/(opposite of side of angle C)
sin(90)/u= sin(30)/2
u *sin(30) = 2* sin(90)
u *sin(30) = 2
u=2/sin(30)
u=2/0.5
u=4
sin(60)/v= sin(30)/2
v *sin(30) = 2* sin(60)
v *sin(30) = 2 * 0.866
v * sin(30) = 1.73
v = 1.73/sin(30)
v = 3.464
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[5] x = 8 and y = 13.856
[6] v = 4 and u = 3.464
≤ Step-by-step explanation ≥-------------------------------------------------------------------------------------------------------------
[5]
sin60° = x/16 = 1/2
x = 16/2 = 8
cos60° = y/16 = √3/2
y = 16√3/2 = 8√3
Can also be : 8√3 = 13.856
-------------------------------------------------------------------------------------------------------------
[6]
sin30° = 2/u = 1/2
u = 2 x 2 = 4
tan30° = 2/v = √3
v = 2√3
can also be: 2√3= 3.464
-------------------------------------------------------------------------------------------------------------
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~lenvy~
Help me please thanks
5(w. 9)
hope it really helps...!!!
13/6 renamed as a mixed number
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
7 pounds of turkey cost $21
Answer:
1 pound of turkey is 3 dollars
Step-by-step explanation:
Answer:
1 lb of turkey costs 3$
Step-by-step explanation:
You divide the cost by the pound to find the answer
21/7 =3
Need help with this problem
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
Help me with this question, please
Answer:
Step-by-step explanation:
x+y=10
1.50x+2.50y=22
Then use the the elimination method. The final answer is x=3, y=7.
PLS HELP!!!!
No links pls and Ty<33!!!!
Answer:
r=20
d=40
40*3.14=125.6
circumference = 125.6
Step-by-step explanation:
Choose the square with a perimeter of 24 inches.
A) A
B) B
C) C
Answer:
A. 6+6+6+6=24
Hope this helps!
Answer:
its a
Step-by-step explanation:
⇒ because if you add 6 four types it equals = 24 inches hope this helped
which graph represents the solution set of this inequality?
please help!!!
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.
How do you solve this
Answer:
x = 8
Step-by-step explanation:
Use the Intersecting Chords Theorem...
PLS HELP!!! No links pls and Ty <3333
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:
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
Answer
not to sure but i think its number 3
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
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?
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
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
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].
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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
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
A copy machine makes 44 copies per minute. How many copies does it make in 4 minutes and 15 seconds?
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 you donate $150 in total a year , How much money did you donate on the first month of the year.
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$12.50Lars read that there are about
210,000 grains of salt in one
teaspoon.
How is 210,000 written as a power
of ten?
A. 210 X 104
B. 21 X 104
C. 21 X 108
D. 2.1 X 10^
Answer
the answer is a
Step-by-step explanation:
Describe the difference between rotation and revolution. Your answer should include a definition of each as well as what each one causes.
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).
Find the value of x using the diagram below
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
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.
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)
Write these as ordinary numbers:
A. 4×10³
B. 7×10⁹
C. 4×10⁰
= 4000
B. 7×10⁹= 7000000000
C. 4×10⁰= 4
( to convert back to ordinary form just move the decimal point according to the power. )
Answer:
A. 4000
B. 7000000000
C. 4
Step-by-step explanation:
A. 4×10³
= 4 × 1000
= 4000
B. 7×10⁹
= 7×1000000000
= 7000000000
C. 4×10⁰
(a⁰=1)
= 4×1
= 4
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Find f(3) if f(x) = 4x + 12.
Determine values of m, n, p, and q so that
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)❌
To estimate the product of 44 x 52, what is the best way to round the factors?
45 x 55
40 x 50
50 x 50
40 x 55
WILL MARK BRAINLIEST
I NEED HELP! I don’t get it at all
Answer:
5.83 cubic feet
Step-by-step explanation:
Volume of block1 :
l = 4 ft
[tex]\sf w = \dfrac{5}{6} \ ft\\\\ h = 1\dfrac{1}{6}=\dfrac{7}{6} \ ft[/tex]
[tex]\sf Volume \ of \ block1 = l*w*h\\[/tex]
[tex]\sf =4 *\dfrac{5}{6}*\dfrac{7}{6}\\\\ =\dfrac{5}{3}*\dfrac{7}{3}\\\\= \dfrac{35}{9} \ cubicfeet[/tex]
Volume of block2:
l = 4 ft
[tex]w = 1\dfrac{2}{3}-\dfrac{5}{6}\\\\ =\dfrac{5}{3}-\dfrac{5}{6}\\\\ =\dfrac{5*2}{3*2}-\dfrac{5}{6}\\\\=\dfrac{10}{6}-\dfrac{5}{6}\\\\w =\dfrac{5}{6} \ ft\\\\h =\dfrac{7}{12} \ ft[/tex]
[tex]\sf Volume \ of \ block2 = 4 *\dfrac{5}{6}*\dfrac{7}{12}[/tex]
[tex]\sf = \dfrac{5}{6}*\dfrac{7}{3}\\\\= \dfrac{35}{18} \ cubicft[/tex]
Amount of concrete to build stairs = Volume of block1 + volume of block2
[tex]\sf = \dfrac{35}{9}+\dfrac{35}{18}\\\\=\dfrac{35*2}{9*2}+\dfrac{35}{18}\\\\=\dfrac{70}{18}+\dfrac{35}{18}\\\\=\dfrac{105}{18}\\\\= 5.83 \ cubic feet[/tex]
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."
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
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
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)