Answer:
To change a number from scientific notation to standard form, move the decimal point to the left (if the exponent of ten is a negative number), or to the right (if the exponent is positive). You should move the point as many times as the exponent indicates. Do not write the power of ten anymore
Find a ratio equivalent to the given ratio 3/10
Answer:
6/20
Step-by-step explanation:
3/10*2/2=6/20
hope it helped, please mark me brainliest.
Find the measure of angle A.
54.99
35.1°
50.7°
39.3°
Hi there!
[tex]\large\boxed{35.1^o}}[/tex]
We can once again use right triangle trig:
We are given the hypotenuse and adjacent sides, so cosine must be used:
cosA = A / H
thus:
cosA = 9/11
Use inverse trig to solve:
cos⁻¹(9/11) ≈ 35.1°
Attempt
Question 5 (5 points)
Tell whether or not the triangles are similar.
Yes, the triangles are similar by AA.
Yes, the triangles are similar by SSS.
Yes, the triangles are similar by SAS
Yes, the triangles are similar by ASA.
Answer:
Yes, the triangles are similar by SAS
Step-by-step explanation:
Looking at the picture, we see that there are two triangles with side lengths of different sides. We can deduce that the scale factor is 1 2/3, because 8 divided by 4.8 is 1 2/3, and 10 divided by 6 is the same. Now that we have clarified that the triangles share the same scale factor, we notice that the angle is also the same, as mentioned in the picture. This leads us to say that the triangles are similar by the SAS similarity theorem (Side, Angle, Side). I hope this helped and please don't hesitate to reach out with more questions!
What is the degree of this polynomial? 5y2 + y +1
O A. 5
O B. 1
O C. 3
O D. 2
Answer:
Option D is correct
Step-by-step explanation:
In the above polynomial, 2 is degree of polynomial because the highest degree of polynomial is 2.
Hope it is helpful....Help!!!!!!!!!!!!!!!!!!
A television screen measures 35 cm wide and 26 cm high. What is the diagonal measure of the screen?
Answer:
43.6 (approximately)
Step-by-step explanation:
Diagonal measures of the screen is,
√(35²+26²)
= √(1901)
= 43.6 (approximately)
Answered by GAUTHMATH
We calculate the dioglonal using the Pythagorean theorem
[tex]\displaystyle\ C^2=A^2+B^2=> C=\sqrt{A^2+B^2} \ then \\\\C=\sqrt{26^2+35^2} =\sqrt{1225+676} =\sqrt{1901} \approx43.6\\\\Answer : the \:diagonal \:\:length is \:\underline{43.6}[/tex]
Solve the qn in attachment .
Answer:
[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]
Step-by-step explanation:
The given expression to us is ,
[tex]\implies \dfrac{\frac{ 3}{x-1} -4 }{ 2 -\frac{2}{x-1}}[/tex]
Now take the LCM as ( x - 1 ) and Simplify , we have ,
[tex]\implies \dfrac{\frac{ 3 -4(x-1) }{x-1} }{ \frac{2-2(2x-1)}{x-1}}[/tex]
Simplifying further , we get ,
[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]
Hence the second option is correct .
Answer:
[tex] \frac{ \frac{3}{x - 1} - 4 }{2 - \frac{2}{x - 1} } \\ = \frac{ \frac{3 - 4(x - 1)}{x - 1} }{ \frac{2(x - 1) - 2}{x - 1} } \\ = \frac{3 - 4x + 4}{2x - 2 - 2 } \\ \frac{7 - 4x}{2(x - 2)} \\ option \: b \: is \: your \: answer \\ thank \: you[/tex]
solve the logarithmic equation
[tex] log_{6}(2x - 6) + log_{6}x = 2[/tex]
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
We want to solve the equation:
[tex]\displaystyle \log_6(2x-6)+\log_6x=2[/tex]
Recall the property:
[tex]\displaystyle \log_bx+\log_by=\log_b(xy)[/tex]
Hence:
[tex]\log_6(x(2x-6))=2[/tex]
Next, recall that by the definition of logarithms:
[tex]\displaystyle \log_b(a)=c\text{ if and only if } b^c=a[/tex]
Therefore:
[tex]6^2=x(2x-6)[/tex]
Solve for x. Simplify and distribute:
[tex]36=2x^2-6x[/tex]
We can divide both sides by two:
[tex]x^2-3x=18[/tex]
Subtract 18 from both sides:
[tex]x^2-3x-18=0[/tex]
Factor:
[tex](x-6)(x+3)=0[/tex]
Zero Product Property:
[tex]x-6=0\text{ or } x+3=0[/tex]
Solve for each case. Hence:
[tex]x=6\text{ or } x=-3[/tex]
Next, we must check the solutions for extraneous solutions. To do so, we can simply substitute the solutions back into the original equations and examine its validity.
Checking x = 6:
[tex]\displaystyle \begin{aligned} \log_{6}(2(6)-6)+\log_{6}6&\stackrel{?}{=} 2 \\ \\ \log_6(12-6)+(1)&\stackrel{?}{=}2 \\ \\ \log_6(6)+1&\stackrel{?}{=}2 \\ \\ 1+1=2&\stackrel{\checkmark}{=}2\end{aligned}[/tex]
Hence, x = 6 is indeed a solution.
Checking x = -3:
[tex]\displaystyle\begin{aligned} \log_6(2(-3)-6) + \underbrace{\log_6-3}_{\text{und.}} &\stackrel{?}{=} 2\\ \\ \end{aligned}[/tex]
Since the second term is undefined, x = -3 is not a solution.
Therefore, our only solution is x = 6.
Answer:
x = 6
Step-by-step explanation:
The given logarithmic equation is ,
[tex]\implies log_{6}(2x - 6) + log_{6}x = 2[/tex]
We can notice that the bases of both logarithm is same . So we can use a property of log as ,
[tex]\bf \to log_a b + log_a c = log_a {( ac)} [/tex]
So we can simplify the LHS and write it as ,
[tex]\implies log_{6} \{ x ( 2x - 6 )\} = 2 [/tex]
Now simplify out x(2x - 6 ) . We get ,
[tex]\implies log_6 ( 2x^2 - 6x ) = 2 [/tex]
Again , we know that ,
[tex]\bf \to log_a b = c , a^c = b [/tex]
Using this we have ,
[tex]\implies 2x^2 - 6x = 6^2 \\\\\implies 2x^2 - 6x -36 = 0 [/tex]
Now simplify the quadratic equation ,
[tex]\implies x^2 - 3x - 18 = 0 \\\\\implies x^2 -6x + 3x -18=0\\\\\implies x( x -6) +3( x - 6 ) = 0 \\\\\implies (x-6)(x+3) = 0 \\\\\implies x = 6 , -3 [/tex]
Since logarithms are not defined for negative numbers or zero , therefore ,
[tex]\implies 2x - 6 > 0 \\\\\implies x > 3 [/tex]
Therefore the equation is not defined at x = -3 . Hence the possible value of x is 6 .
[tex]\implies \underline{\underline{ x \quad = \quad 6 }}[/tex]
In which figure is DE BC
Answer:
Given: DB = 7.2 cm, AE = 1.8 cm and EC = 5.4 cm and DE || BC.
DB
AD
=
AC
AE
[by basic proportionality theorem which states that if a line is drawn parallel to one side of a triangle the other two sides in distinct points, then the other two sides are divided in the same.
7.2
AD
=
5.4
1.8
AD=
5.4
7.2×1.8
AD=
10
24
⟹AD=2.4cm
find the least common denominator for these fraction 4/8 and 1/4
Answer:
8Step-by-step explanation:
As,
1/4 = (1×2)/(4×2) = 4/8
4/8 = (4×1)/(8×1) = 4/8
In both case,
The denominator 8 is least common multiple
1 2 3 4 5 6 7 8 9 10 Susan plans to use 120 feet of fencing to enclose a rectangular area for a garden. Which equation best models the area, y, of the rectangular garden that she creates if one side is x feet long
Answer:
[tex]Area = 60x - x^2[/tex]
Step-by-step explanation:
Given
[tex]Perimeter = 120[/tex]
[tex]Side\ 1 = x[/tex]
Required
The area of the garden
First, we calculate the length of the other side using:
[tex]Perimeter = 2 *(Side\ 1 + Side\ 2)[/tex]
This gives:
[tex]120 = 2 *(x + Side\ 2)[/tex]
Divide both sides by 2
[tex]60 = x + Side\ 2[/tex]
Make Side 2 the subject
[tex]Side\ 2 = 60 - x[/tex]
So, the area of the garden is:
[tex]Area = Side\ 1 * Side\ 2[/tex]
[tex]Area = x * (60 - x)[/tex]
Expand
[tex]Area = 60x - x^2[/tex]
If f(x) = 3x - 2 and g(x) = x2 +1, find (f +9)(x).
Answer:
A. x² + 3x - 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 3x - 2
g(x) = x² + 1
(f + g)(x) is f(x) + g(x)
Step 2: Find
Substitute in functions: (f + g)(x) = 3x - 2 + x² + 1Combine like terms: (f + g)(x) = x² + 3x - 1Answer:
D. x² + 3x + 1
Step-by-step explanation:
Given :- f ( x ) = 3x - 2 ɑnd g( x) = x² + 1
Find :- ( f + g ) ( x )
Solution :-
plug 3x + 2 ɑs f ɑnd x² + 1 ɑs g in the functions.( f + g ) ( x ) = ( ( 3x - 2 ) + ( x² + 1))
remove unnecessɑry pɑrɑntheses( f + g ) ( x ) = ( 3 x - 2 + x² + 1 )
combine like terms( f + g ) ( x ) = ( x² + 3x - 1 )
if each square is 2cm long then the perimeter is
Answer:
for each square the perimeter would be length times width. so 2x2 =4
Now if there are multiple squares then the answer would be different. but 4 is the answer for the individual square.
A rectangular floor of area 360 m2 is going to be tiled. Each tile is rectangular, and has an area of 240 cm2. An exact number of tiles can be put into the space. How many tiles will be needed??
Answer:
1500
Step-by-step explanation:
The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,
[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]
And , the number of tiles required will be ,
[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]
Hence the required answer is 1500 .
Answer:
[tex] \displaystyle\rm 15000[/tex]
Step-by-step explanation:
we given the area of rectangular floor and tile we want to find the number of tiles needed to tile the floor
notice that the area of the rectangular floor is in meter and the tile in cm so we need to convert cm to meter in order to figure out the number of tiles needed to tile the floor
therefore,
[tex] \rm 1m \implies 100 c m\\ \rm{1m}^{2} \implies10000 {cm}^{2} [/tex]
remember that,
[tex] \displaystyle\rm \: N _{ \rm tile} = \frac{A _{ \rm floor} }{A _{ \rm tile} } [/tex]
Thus substitute:
[tex] \displaystyle\rm \: N _{ \rm tile} = \frac{360 \times 10000 {cm}^{2} }{ {240cm}^{2} } [/tex]
simplify which yields:
[tex] \displaystyle\rm \: N _{ \rm tile} = 15000[/tex]
hence,
15000 of tiles needed to tile the floor
[X + y] + 3w? Helpppppp
Answer:
x+y+3w
Step-by-step explanation:
Does the data below describe a linear,
quadratic, or exponential function?
Answer:
Quadratic.
Step-by-step explanation:
Both linear and exponential equations are monotone increasing or monotone decreasing functions.
This means that, as the input increases, the output will only increase or only decrease, but never both.
Here for our data, we can see that first we have:
x = -8
y = 13
Then x increases to x = -6, and y decreases to y = 9
Then x increases to x = -4 and y increases to y = 13
Then this function is not monotone increasing nor monotone decreasing, so the data can not describe a linear nor an exponential function.
Then the correct option is quadratic.
Given a line segment that contains the points A,B, & C in order,if AB = 5x + 4, BC = 4x - 8, and AC = 23, find the length of segment AB.
Select one:
a. 23
b. 9
c. 19
d. 3
Answer:
C
Step-by-step explanation:
AB + BC = AC , that is
5x + 4 + 4x - 8 = 23
9x - 4 = 23 ( add 4 to both sides )
9x = 27 ( divide both sides by 9 )
x = 3
Then
AB = 5x + 4 = 5(3) + 4 = 15 + 4 = 19 → C
If 9^x = 81, then 3(3^x) =
A) 27
B) 3
C) 9
D) 81
E) 243
Answer:
A) 27
Step-by-step explanation:
[tex]9^{x}[/tex] = 81
x = 2
3([tex]3^{2}[/tex]) = 3(9) = 27
Lily bought a pair of gloves and a shirt.
The gloves cost £4
She sold the gloves and the shirt for a total of £48
She made 100% profit on the cost of the gloves.
20% profit on the total cost.
Work out her percentage profit on the cost of the skirt.
Answer 1 decimal place.
Answer:
Profit % = 11,11 %
Step-by-step explanation:
Answer:
14% profit on shirt/skirt?...
actually as written the question can not be answered....
the start of the problem has gloves, and SHIRT... at the end you want the
profit on a SKIRT
Step-by-step explanation:
gloves sold for 8
shirt sold for 40
.2(48) = 9.60 profit
9.60 - 4 = 5.60 profit of shirt
x(40) = 5.60
14% profit on shirt
define complementary angles .
Answer:
A pair of angles is known as complementary angles when the sum of their angles is 90°.
16x7[(99-64)•2] PLEASE HELP!!!
Answer:
7840
Step-by-step explanation:
start with the (). 99-64 is 35. then 35 times 2 is 70. 16 times 7 (whats on the outside) is 112 and 112 times 70 is 7840
Compute the simple interest on a $1000 loan at 16.75 % for five years.
Answer:
$837.5
Step-by-step explanation:
here given
Principal (P)= $ 1000
Rate. (R)= 16.75%
time. (T)= 5year
we know
Simple interest (S.I)= PTR/100
1000*5*16.75/100
= $837.5
In the diagram below, OP is circumscribed about quadrilateral ABCD. what is the value of x?
This is because the opposite angles of any inscribed quadrilateral (aka cyclic quadrilateral) are always supplementary. So x+130 = 180 solves to x = 50.
If OP is circumscribed about quadrilateral ABCD then the value of x is 50 degrees, Option B is correct.
What is Quadrilateral?A quadrilateral is a four-sided polygon, having four edges and four corners.
A quadrilateral is inscribed insider a circle with centre p.
ABCD is a quadrilateral
We have to find the value of x.
As we know that the sum of the opposite side measures is 180 degrees.
m∠A + m∠C = 180
x + 130 =180
Subtract 130 from both sides
x = 180-130
x= 50 degrees.
Hence, if OP is circumscribed about quadrilateral ABCD then the value of x is 50 degrees, Option B is correct.
To learn more on Quadrilateral click:
https://brainly.com/question/29934440
#SPJ7
marcela tardo dos horas menos que roberto en recorrer una distancia en bicicleta, SI el producto de los dos tiempos es de 48 horas ¿cuanto trado cada uno?
Answer:
Marcela tardó 6 horas y Roberto tardó 8 horas.
Step-by-step explanation:
Dado que Marcela tardó dos horas menos que Roberto en recorrer una distancia en bicicleta, y sabiendo que el producto de los dos tiempos es de 48 horas, para determinar cuánto tardó cada uno se debe realizar el siguiente cálculo:
M = X
R = X + 2
X x (X + 2) = 48
8 x 6 = 48
Por lo tanto, Marcela tardó 6 horas y Roberto tardó 8 horas.
Can someone help solve the problems 2-4
Answer:
1234567891011121314151617181920
Step-by-step explanation:
you just count
find the positive sqaure roots up to 3 decimals
i) 1+(0.046)2
Step-by-step explanation:
1+0.092= 1.0922) 1+0.042= 1.042
Answer:
1+0.092= 1.0922) 1+0.042= 1.042
Step-by-step explanation:
it is the explanation 1+0.092= 1.0922) 1+0.042= 1.042
Help and explain please !!!
Answer:
D
Step-by-step explanation:
f(x) = x-4
f(3.2) = -3.2-4
= -7.2
please help me with this
Answer:
(0,-3)
Step-by-step explanation:
Classify the following triangle. Check all that apply.
113
Jason
A. Isosceles
B. Scalene
O C. Acute
D. Right
E. Equilateral
OF. Obtuse
Answer:
A
Step-by-step explanation:
Because 113 %45*45 that gives you isosceles
Answer:isosceles and right.
Step-by-step explanation:
Please help guys!
Use point slope formula please
Answer:
[tex]y - 2 = - \frac{6}{5} (x - 0)[/tex]
Step-by-step explanation:
The Point Slope formula is a algebraic formula used for
when we know it slope When we know a pair of coordinatesThe formula is
[tex]{y - y _1} = m(x - x_1)[/tex]
We are given its slope and we know a pair of points
Note a y intercept is (0,b). Where b is any real number so our points are (0,2).
Plug it in the expression
[tex]y - 2 = - \frac{6}{5} (x - 0)[/tex]
