Answer:
B. 1 : 1
Step-by-step explanation:
the triangle has the same size of legs (the same angles 45°)
Solve for x in these two similar triangles
A rectangle measures 15 cm by 10 cm is given, if the length of side is
increased by 20%, find the increase of area in percentage.
Answer:
20 % increase in Area
Step-by-step explanation:
1. Original Rectangle Area = 150cm ²
2. 20% of 15 is 3
3. Increased length is equal to 18
4. Increased Rectangle Area = 180cm ²
5. Ten percent of 150 = 15.
6. 15x2(ten percent) = 30. Which give us 150+30 equal to 180.
7. 2 ten percent equals 20%
8. Answer is 20%.
Was this equation solved correctly? How do you know?
Subtract three from both sides
Combine like terms
Divide by 4 on both sides
Simplify
19 = 4x + 3
19 - 3 = 4x + 3-3
16 = 4x
16/4 = 4x/4
3 = x
classify the expression by both degree and terms 2x4 - x +5
Answer:
x=3
Step-by-step explanation:
what is the square root of -1
Answer:
i
Step-by-step explanation:
Now, before you think I'm just stealing points, let me explain. The square root of a number is the number that, if you multiply it by itself, it equals that number. The square root of 4 is 2, because 2 * 2 = 4.
Also, a negative number times another negative number, is a positive number. -2 * -2 = 4
With both of those true, then what number could be multiplied by itself to equal a negative number? i.
i is a weird number that I don't really know how to explain all that well. I am sorry, but that is all that I can give you. i is very complex and has various different equivalents, and different meanings, but i is equal to [tex]\sqrt{-1}[/tex].
Hope that this helps!
What is the value of the 9 in the number 0.09432
Answer:
hundredths
Step-by-step explanation:
Numbers after the decimal start with
tenth
hundredth
Find the measure of each angle indicated. Please help !!
Answer: 86°
Step-by-step explanation:
You add 28°+58° to get 86
a scalene triangle always equals (adds up to) 180°
So you minus 86° from 180 to get 94° for angle EGF
Then since line EGT is 180° the ? has to add together with 94° to find your answer
94°+?=180°
180°-94°= 86°
please give answer of 6 number
Answer:
[tex]7,500[/tex]
Step-by-step explanation:
Let's solve this problem step-by-step. The library had 1,500 books in 2011. The ratio of books in 2011 and in 2012 is 1:2. Therefore, let the number of books in 2012 be [tex]x[/tex].
We have the following proportion:
[tex]\frac{1}{1,500}=\frac{2}{x},\\x=2\cdot 1,500=3,000[/tex]
Therefore, there were 3,000 books in 2012. The ratio of books in 2012 and in 2013 is 2:5. Let the number of books in 2013 be [tex]y[/tex].
We have:
[tex]\frac{2}{3,000}=\frac{5}{y},\\2y=5\cdot 3,000,\\2y=15,000\\y=\boxed{7,500}[/tex]
Therefore, there were 7,500 books in 2013.
Answer:
7,500 books
Step-by-step explanation:
(+58) x (-75) =
I don't understand this! Can someone help me?
Answer:
-4350
Step-by-step explanation:
-((58)x(75))=
-(4350) =
-4350
1. (x^3 - 9 x^2 + 26 x - 24) ÷ (x - 4)
2. (6 x^3 + x^2 - 26 x - 21) ÷ (3x - 7)
3. 2 x^4 - x^3 + 10 x^2 + 8 x - 6) ÷ (x^2 - x + 6)
Answer:
1. = x^2 -5x+6
Step-by-step explanation:
2. = 2x^2 +5x+3
3. =2x^2 +(x-1) +((x)/x^2 -x+6)
How far should Galileo walk up the inclined plane?
Answer:
Suppose Galileo should walk x meters on 15 degree inclined plane, and then he will get the 150 meter altitude and he could perform his experiments with the balls
f(x)4x+1 and g(x)=x^2 -5
Answer:
B. x² + 4x - 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 4x + 1
g(x) = x² - 5
(f + g)(x) = f(x) + g(x)
Step 2: Find
Substitute in functions: (f + g)(x) = 4x + 1 + x² - 5Combine like terms: (f + g)(x) = x² + 4x - 4Answer:
B
Step-by-step explanation: 6 18 11 18
f(x)=4x+1 and g(x)=x^2 -5
f(x)= 4x+1
g(x)=x^2 -5 just add these two equations
(f+g)(x) = x² + 4x +1 - 5
(f+g)(x) = x² + 4x - 4 B
The
square below is the image of a square that was dilated by a scale factor of 1. Find
the area of the preimage, the original square, before its dilation. Figures are not
necessarily drawn to scale.
11
Answer:
I'm not really sure what you're asking because there's no image.
Step-by-step explanation:
please try to reword it and maybe show a picture .
Mary’s school is selling tickets to a choral performance. On the first day of ticket sales the school sold 4 senior citizen tickets and 2 child tickets for a total of $64. The school took in $204 on the second day by selling 12 senior citizen tickets and 8 child tickets. What is the price of one senior citizen ticket and one child ticket.
Answer:
$13 - senior
$6 - child
Step-by-step explanation:
set up a system of equations:
s = senior tickets price
c = child tickets price
4s + 2c = 64; you can simplify this by dividing through by 2 to get:
2s + c = 32
12s + 8c = 204; you can simplify this by dividing through by 4 to get:
3s + 2c = 51
we can say that 'c' = 32-2s' and substitute that for 'c' in the second equation:
3s + 2(32-2s) = 51
3s + 64 - 4s = 51
-s = -13
s = 13
now find 'c' by substituting 13 for 's':
2(13) + c = 32
26 + c = 32
c = 6
Help asappppp hbshhshshhshshsshshshs
9 on the top as well so 9 x 2 18 3x2 6 3
Which of the following is the quotient of the rational expressions shown below?
Answer:
A
Step-by-step explanation:
multiple across
5 * 6 = 30
2x+1 * x = 2x^2 + x
is 15 over -4 negative
Answer:
15 is larger than -4
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
15 ÷ (-4) = -3.75
(High points) Please solve with explanation
Answer:
36 9/16 inches
Step-by-step explanation:
Given that the piece is 45 1/2 inch long and 8 7/8 is cut from it, the remaining length should be the difference between the original length and the length cut from it
= 45 1/2 - 8 7/8
simplify
= 44 - 8 (8 + 4 - 7)/8
= 36 5/8
Given that 1/16 inch is wasted in the process, the remaining length would be
= 36 5/8 - 1/16
= 36 10 - 1/16
= 36 9/16 inches
What's the domain of the graph?
Step-by-step explanation:
In interval form, the domain of f is (−∞,∞).
Which of the following are not polynomials? O A. x2 +x+1 O B. X-2 + x + 1 am. x + V3x+1 OD. 3+x+1 E. x + 0x2 + 2x + 2
Answer:
Option B
Step-by-step explanation:
Look.......Polynomial is something which has more than 3 term..So, as you can see option B has more than three.
pls ans this
its urgent
What is the angle measure ?
Answer:
140 degrees
Step-by-step explanation:
In triangle ABC, b = 600, ∠B = 11°, and ∠C = 75°. Find a.
Answer:
Step-by-step explanation:
We could use the Law of Sines if we only knew what angle A was. It just so happens that by the Triangle Angle-Sum Theorem, angle A is equal to
180 - B - C. Therefore,
angle A = 180 - 11 - 75 so
angle A = 94. And the Law of Sines is
[tex]\frac{sin94}{a}=\frac{sin11}{600}[/tex] and cross multiply to get
600sin94 = asin11 and solve for a:
[tex]a=\frac{600sin94}{sin11}[/tex] gives you that
a = 3136.85
The standard form of a quadratic function is given below. Select ALL
statements which MUST be true about its graph.
f (x) = ax? + bx + c
A. The y-intercept of the graph is at (0,c).
B. The graph has an x-intercept at (c,0).
C. When "a" is positive, the graph opens up.
D. The graph always has two distinct x-intercepts,
Answer:
A; C.
Step-by-step explanation:
B. not correct: the graph can have no interception; one interception or two interception;
D. not correct: the graph can have no interception; one interception or two interception.
ONE reason why people loan money from banks.
Answer:
to use the money when in an emergency
\frac{(\sqrt{x} +1)^{2} +(\sqrt{x} -1)^{2} )}{(\sqrt{x} +1)(\sqrt{x} -1)} -\frac{3\sqrt{x} +1}{x-1}
Answer:
[tex]= \frac{2x-3\sqrt{x} }{x-1}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{(\sqrt{x} +1)^{2} +(\sqrt{x} -1)^{2} )}{(\sqrt{x} +1)(\sqrt{x} -1)} -\frac{3\sqrt{x} +1}{x-1}[/tex]
Expand
[tex]\frac{(\sqrt{x} +1)^{2} +(\sqrt{x} -1)^{2} )}{(\sqrt{x} +1)(\sqrt{x} -1)} -\frac{3\sqrt{x} +1}{x-1}\\= \frac{x+2\sqrt{x}+1+(x-2\sqrt{x} +1) }{x-1}- \frac{3\sqrt{x} +1}{x-1}\\= \frac{2x+1}{x-1} - \frac{3\sqrt{x} +1}{x-1}\\= \frac{2x+1-(3\sqrt{x} +1)}{x-1}\\= \frac{2x-3\sqrt{x} +1-1}{x-1}\\= \frac{2x-3\sqrt{x} }{x-1}[/tex]
This gives the simplified form
Four band members, Harry, Isabel, Jose, and Karen, are all boarding a bus to attend a concert. In each arrangement below, the first initial of each person’s name represents that person’s position as he or she boards the bus: first, second, third, and fourth.
If we know that Karen boards the bus first, which shows the possible outcomes for this event?
KHIJ
KHIJ, KHJI
KHIJ, KHJI, KJHI, KJIH
KHIJ, KHJI, KJHI, KJIH, KIHJ, KIJH
Answer:
D=KHIJ, KHJI, KJHI, KJIH, KIHJ, KIJH
Step-by-step explanation:
Got a 100% on test! EDGE 2021
The possible outcomes for the given event are KHIJ, KHJI, KJHI, KJIH, KIHJ, KIJH.
What is permutation?A permutation is a mathematical technique that is used to calculate total possible outcomes for arrangement provided that the order of selection of items is not fixed.
Given that, Four band members, Harry, Isabel, Jose, and Karen, are all boarding a bus to attend a concert
The formula to determine permutation is:
ⁿPₓ = n!/(n-x)!
Where n is the total number of objects and r is the number of objects selected.
For the given question, n will be 3 since K boards the bus first and hence his position is fixed.
Therefore, H, I, and J can switch positions.
³P₂ = 3!/(3-2)!
³P₂ = 6
Therefore, the correct option is D.
Learn more about permutation here:
brainly.com/question/14767366
#SPJ7
BD is the angle bisector of ABC. Find m ABC and m DBC. (Picture attached!) Thank you!!!
Answer:
60 Degree,30 degree
Step-by-step explanation:
BD is bisector of ∠ABC
=> ∠ABD = ∠DBC
=> 3x = x + 20
=> 3x - x = 20
=> 2x = 20
=> x = 20/2
=> x = 10
Now,
∠ABD = ∠DBC = x + 20 = 10 + 20 = 30 Degree
∠ABC = ∠ABD+∠DBC = 30+30 = 60 Degree
Help help help help
Find the volume of this sphere.
Use 3 for T.