Answer:
x = 105.41
Step-by-step explanation:
24•log(3x) = 60
Divide by 24
log (3x) = 60/24
log (3x) = 5/2
Raise each side to the power of 10
10 ^ log (3x) = 10^5/2
3x= 10 ^5/2
Divide by 3
3x/3 = 1/3 * 10 ^ 5/2
x = 1/3 (100 sqrt(10))
x=105.40925
To two decimal places
x = 105.41
What is the equation of the following line? Be sure to scroll down first to see all answer options.
A.
y = 18x
B.
y = 9x
C.
y = -9x
D.
y = - x
E.
y = -18x
F.
y = x
Answer:
a
Step-by-step explanation:
i took this and got a 100
Answer:
y = 9x
Step-by-step explanation:
other person is so wrong, hope this helps.
Question Two please help
Answer:
The similarity statement is RTS and ACB. Other options are correct
Every day, Chloe practices soccer and flute. Each day, she practices soccer for 12 hour. If after 5 days she practiced both soccer and flute for a total of 15 hours, how many hours per day did Chloe practice flute?
Answers:
1h 1.5h 2h 2.5h
In the figure. PQ = PR and AQSR = 90°. Write the name of an isosceles triangle and a right angled triangle.
Answer:
see explanation
Step-by-step explanation:
Since PQ = PR , that is congruent legs of the triangle, then
Δ PQR is isosceles
Since ∠ QSR = 90° , then
Δ QSR is right angled
Evaluate the expression when b=4.
b^2-7b+3
Answer:
16-28+3 do it now ok!!!!!!
Answer:
If b=4,
b^2-7b+3
=4^2-7(4)+3
=16-28+3
=-9
a circular wire with radius 14 cm is cut and made straight then what will be its length?
We have to find the circumference
[tex]\\ \rm\longmapsto C=2\pi r[/tex]
[tex]\\ \rm\longmapsto C=2\dfrac{22}{7}(14)[/tex]
[tex]\\ \rm\longmapsto C=44(2)[/tex]
[tex]\\ \rm\longmapsto C=88cm[/tex]
What table represents a linear function
Answer:
OPTION 1
Step-by-step explanation:
A function has exactly 1 output for every input option 1 is the only one where every x value corresponds to exactly 1 y-value.
HELP ME NOW PLS ITS PYTHAGOREAN THEOREM IM FAILING THIS PLS PLS PLS :(
Edwina and georgia had the same number of bottles.Edwina and georgia had a mix of big bottles and small bottles.Edwina had 5 small bottles while georgi had 16 big bottles.Each small bottles had a a capacity of 400 ml.Each big bottles had a capacity of 600 ml.The total capacity of edwina's bottles was 800 ml more than the total capacity of georgia's bottles
Answer:
20 big bottles
14000 ml
Step-by-step explanation:
Let :
Small bottles = x ; big bottles = y
Capacity of small bottle = 400ml
Capacity of big bottle = 600 ml
Edwina :
Number of small bottles = 5
Georgi :
Number of big bottles = 16
Since Numbe of bottles are siad to be the same :
5 + y = 16 + x
y - x = 16 - 5
y - x = 11
y = 11 + x - - - (1)
Total capacity of Edwina's bottle is 800 ml more Than Georgi's total :
Edwina :
5(400) + 600y
Georgi :
400x + 16(600)
2000 + 600y = 800 + 400x + 9600
2000 + 600y = 10400 + 400x
600y - 400x = 10400 - 2000
600y - 400x = 8400 - - - (2)
Substitute y = 11+x for y in (2)
600(11+x) - 400x = 8400
6600 + 600x - 400x = 8400
200x = 8400 - 6600
200x = 1800
x = 1800 / 200
x = 9
Number of big bottles Edwina has :
y = 11 + x
y = 11 + 9
y = 20
Total capacity of Edwina's bottles :
5(400) + 600y
2000 + 600(20) = 2000 + 12000 = 14000 ml
HELP ASAP!!!
Find the length of AB.
6 in
30°
В
AB = [? ]in
Answer:
30/360 ×π r^2 = AB
AB = 30 /360 × π ×6^2
AB = 9.42 IN
the base of a right prism is an equilateral triangle each of whose sides measures 4cm. The altitude of the prism measures 5cm. Find the volume of the prism
Volume = (√3/4)a^2 × h
= (√3/4)4^2×5
=(√3/4)16×5
=√3×4×5
=20√3
Ans Volume is 20√3cm^2
Answered by GauthMath if you like please click thanks and comment thanks
If fx) = 2х2 - 5 and g(x) = 3х+3, find (f-g)(x).
ОА. -Х? - 8
В. 3х - 2x2 - 2
Ос. 2х - 3x-2
OD. 2х2 – 3х – 8
Answer:
Solution given:
f(x)=2x²-5
g(x)=3x+3
now
(f-g) (x)=?
we have
(f-g)(x)=f(x)-g(x)
=2x²-5-(3x+3)=2x²-5-3x-3adding or subtracting common term=2x²-3x-8Answer:
[tex]2x^{2} - 3x - 8[/tex]
Step-by-step explanation:
Step 1: Define what (f-g)(x) means
(f-g)(x) means that we have two different functions, f(x) and g(x). (f-g)(x) is a shorter way of writing f(x) - g(x). Therefore you just plug in the equations and combine like terms.
Step 2: Find (f-g)(x)
[tex]f(x) = 2x^{2} - 5[/tex]
[tex]g(x) = 3x + 3[/tex]
[tex](f-g)(x) = 2x^{2} - 5 - (3x + 3)[/tex]
[tex](f-g)(x) = 2x^{2} - 5 - 3x - 3[/tex]
[tex](f-g)(x) = 2x^{2} - 3x - 8[/tex]
Answer: [tex]2x^{2} - 3x - 8[/tex]
hello, help needed. show work please. 55 points!! due today.
Answer:
see below
Step-by-step explanation:
x+5
y = ----------------------
x^2 - 2x+1
Since the degree of numerator < degree of denominator ( 1 < 2) there is a horizontal asymptote: y = 0
Given: overline LM cong overline ON and overline LO cong overline MN Prove : LMNO is a parallelogram
[tex]\overline {LM} \parallel \overline {ON} \ and \ \overline {LO} \parallel \overline {MN}[/tex] because they form congruent alternate interior angles with a common transversal, therefore, LMNO is a parallelogram because the opposite sides are parallel
The reason the above statement are correct is presented as follows:
The given parameters are;
[tex]\overline {LM}[/tex] is congruent to [tex]\overline {ON}[/tex] and [tex]\overline {LO}[/tex] is congruent to [tex]\overline {MN}[/tex]
Required:
To prove that LMNO (quadrilateral) is a parallelogram
Solution:
The two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
[tex]\overline {LM} \cong \overline {ON}[/tex] [tex]{}[/tex] Given
[tex]\overline {LM} = \overline {ON}[/tex] [tex]{}[/tex] Definition of congruency
[tex]\overline {LO}[/tex] ≅ [tex]\overline {MN}[/tex] [tex]{}[/tex] Given
[tex]\overline {LO}[/tex] = [tex]\overline {MN}[/tex] [tex]{}[/tex] Definition of congruency
[tex]\overline{LN}[/tex] ≅
[tex]\overline{LN}[/tex] =
ΔLNO ≅ ΔLMN [tex]{}[/tex] Side Side Side (SSS) congruency postulate
∠NLM ≅ ∠LNO [tex]{}[/tex] Cong. Parts of Cong. Triangles are Cong. CPCTC
∠NLM and ∠LNO are alternate interior angles
[tex]\mathbf{\overline {LM} \parallel \overline {ON}}[/tex] [tex]{}[/tex] Alternate interior angles between parallel lines are congruent
∠MNL ≅ ∠NLO [tex]{}[/tex] CPCTC
∠MNL and ∠NLO are alternate interior angles
[tex]\mathbf{\overline {LO} \parallel \overline {MN}}[/tex] [tex]{}[/tex] Alternate interior angles formed between parallel lines are congruent
LMNO is a parallelogram because the opposite sides, [tex]\overline {LM} \parallel \overline {ON}[/tex] and [tex]\overline {LO} \parallel \overline {MN}[/tex] are parallel
Learn more about parallelogram here:
https://brainly.com/question/14708246
LMNO is a plane shape which has the properties of a parallelogram. The the explanations below, it has been proven to be a parallelogram.
A parallelogram is a quadrilateral which has some unique properties. These properties can be used to prove if a given shape is a parallelogram or not.
To prove that LMNO as given in the question is a parallelogram:
The opposite sides of a parallelogram are congruent.Thus,
/LM/ ≅ /ON/ (opposite side property)
/LO/ ≅ /MN/ (opposite side property)
The opposite sides are parallel to each other.i.e LM || ON and LO || MN
Consecutive angles are supplementary.i.e <MLO + <LMN = [tex]180^{o}[/tex]
also
<LON + <MNO = [tex]180^{o}[/tex]
The diagonals are at right angles to each other.LN ⊥ MO
Opposite angles are congruent.<LMN ≅ <LON and <MLO ≅ <MNO
Therefore the given quadrilateral LMNO has all the properties described above, then it is a parallelogram.
For more clarifications, visit: https://brainly.com/question/10988285
Which of the following cannot be written as a ratio of integers with a nonzero denominator
Answers:
A.a whole number
B.an integer
C.none of these
D.a rational number
Answer:
D
Step-by-step explanation:
I really think the answer is D
The slopes of 2 lines are in the attachment. what is the value of ‘a’ that will make the lines PARALLEL and PERPENDICULAR
Answer:
a. a = -12
b. a = 27
Step-by-step explanation:
a. Two lines that are parallel have the same slope, making the slopes equal ot each other:
[tex]-\frac{3}{2} =\frac{18}{a}[/tex]
We can cross multiply and solve for a:
[tex]-3a = 36\\a = -12[/tex]
b. Two lines that are perpendicular have the negative reciprocal of each other. This means that you would flip the fraction and multiply by a negative as shown below:
[tex]-\frac{3}{2} --> \frac{2}{3}[/tex]
This would be the slope of the other line, so we can write:
[tex]\frac{2}{3} = \frac{18}{a}[/tex]
as both expressions express the slope of the same line. We can cross multiply and solve to get:
[tex]2a = 54\\a = 27[/tex]
If ABCD is dilated by a factor of }, the
coordinate of B' would be:
5
С
4
3
B
2
1
-5
4 3
-2
-10
1
2
3
4
5
-1
A
B' = ([?], [ ]
D
-3
Enter
Answer:
If ABCD is If ABCD is dilated by a factor of }, the
coordinate of B' would be:2
(2.02 -16.61 : 5.5 ) : 2.5 - 1.6 =
solve this pls
Answer:
1.0612
I tried using the alogarithm of ratios but am confused please help me
Answer:
-2 Answer
Step-by-step explanation:
SEE IMAGE for Solution
Find the third angle of a triangle if two of its angles are equal to:
25 degrees and 80 degrees
and
25 degrees and 120 degrees
Answer:
60 degrees
Step-by-step explanation:
Answer:
75 degrees, 35 degrees
Step-by-step explanation:
a. Adding 25 degrees and 80 degrees yields 105 degrees. The third angle of the given triangle must therefore be 180 degrees less 105 degrees, or 75 degrees.
b. Adding 25 degrees and 120 degrees yields 145 degrees. The third angle of the given triangle must therefore be 180 degrees less 145 degrees, or 35 degrees.
A translation is shown on the grid below. Which are true statements about the translation?
The sides of the image and pre-image are congruent
Each point has moved the same number of units
express 5√72 in simplest radical form.
Answer:
30*sqrt(2)
Step-by-step explanation:
5*sqrt(72)=5*sqrt(36*2)=5*6*sqrt(2)=30*sqrt(2)
sentence
After several days of drilling, a water well is 80
meters deep. The well is being drilled at a rate of
20 meters per day.
How many more days will it take to reach a total
depth of 180 meters?
Answer:
it will take 5days to reach a total of 180meters
Step-by-step explanation:
80m+20+20+20+20+20
=180meters
=5days
Can anyone answer this for me?
Answer:
y = 2 - [tex]x^{2}[/tex]
Step-by-step explanation:
[tex]x^{2}[/tex] results in a parabola (U-shape). Adding a negative in front of it flips the parabola to look like an upside-down U.
The 2 makes it shift up two decimal spots to (0,2).
Instructions: Find the missing side. Round your answer to the nearest
tenth.
19
х
66°
X =
Step-by-step explanation:
the missing side is the adjacent side of the angle 66..which also has an opposite side of 19, therefore you use tan
tan66=19/x
tan66x/tan66=19/tan66
x=8.5
I hope this helps
Measure of base of the triangle, value of x is 8.46 unit.
What is trigonometric ratio?Trigonometric ratios can be calculated by taking the ratio of any two sides of a right triangle. Given the scale of the other two sides, we can evaluate the third side using the Pythagorean theorem. We can compare the length of any two sides and the angle of the base using trigonometric ratio. The angle θ is an acute angle (θ < 90°) and is usually measured counterclockwise with respect to the positive x-axis. The basic formula for trigonometric ratios is:
sin θ = Perpendicular/Hypotenuse
cos θ = Base/Hypotenuse
tan θ = Perpendicular/Base
sec θ = Hypotenuse/Base
cosec θ = Hypotenuse/Perpendicular
cot θ = Base/Perpendicular
Given,
In right triangle,
Base of the triangle is x
Measure of angle = 66°
Perpendicular = 19 unit
tanθ = Perpendicular/base
tan66° = 19/x
2.246 = 19/x
x = 19/2.246
x = 8.46 unit
Hence, 8.46 unit is measure of base of the triangle, that is value of x.
Learn more about trigonometric ratio here:
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Find the value of x for which ABCD must be a parallelogram
a. 1
b. 94
c. 3
d. 47
Answer:
c. 3
Step-by-step explanation:
BC||AD so <CBD=<BDA
15x+2=9x+20
15x-9x=20-2
6x=18
x=3
Find the area of a regular
polygon with 7 sides that has a
perimeter of 63 inches and an
apothem of 8 inches.
Answer:
The area of a regular polygon is A = (1/2)ap, where a is the apothem and p is the perimeter of the polygon.
The apothem is 8 inches and the perimeter is 6(7) = 42 since there are 7 sides of 6 inches.
Then the area is
A = (1/2)(8)(42) = 336/2 = 168 in2
I hope this helped!
for every 8 dollar oliver earns, he saves 4.2 dollar. how much will he save if he earns 180?
Answer:
94.5
Step-by-step explanation:
Every 8 dollars means he saves 4.2 dollars
180 ÷ 8 = 22.5
22.5 × 4.2 = 94.5
Answer: 94,5
180:8 *4,2=22,5 *4,2 =94,5
Step-by-step explanation:
Decide whether the graphs of the two equations are parallel. y=3x+8 and y/3-3=x
Answer:
Equation #1:
[tex]y = 3x + 8[/tex]
Equation #2:
[tex]\frac{y}{3} -3=x\\\\\frac{y}{3}=x+3\\\\y=3(x+3)\\\\y=3x+9[/tex]
Parallel equations have the same slope. Since both share the same slope of 3, they're parallel.
Jayden travels 13/18 feet in 9/26 seconds. Find the speed of Jayden in feet per second.
Answer:
Speed = 2 7/81 feet per second
Step-by-step explanation:
Distance travelled = 13/18 feet
Time taken = 9/26 seconds
Find the speed of Jayden in feet per second.
Speed = Distance travelled / Time taken
= 13/18 ÷ 9/26
= 13/18 × 26/9
= (13 * 26) / (18 * 9)
= 338 / 162
= 2 14/162
= 2 7/81 feet per second
Speed = 2 7/81 feet per second
Jayden speed is 2 7/81 feet per second
1-tanx/1+tanx=1+sin2x
are you sure about the ques?
