Answer:
2×x×7+3x=12
2x+14+3x=12
5x+14=12
5x=12-14
5x=-2
Divided Both Sides By 5
X=-2/5
Find the value of x.
Answer:
x=56
Step-by-step explanation:
Hope this helps!
Answer:
x = 12.05
using sine rule:
[tex]\boxed{sin(a) = \frac{opposite}{hypotenuse} }[/tex]
Here given the angle is 35° and hypotenuse is 21.
To find x:
→ sin(35) = [tex]\frac{x}{21}[/tex]
→ x = 21 * sin(35)
→ x = 12.04510516
→ x = 12.05 ................rounded to nearest tenth.
- What is the measure of the external angle which is marked in yellow?
A 156 degrees
B 24 degrees
C 145 degrees
D 53 degrees
Answer:
the measure of the external angle which is marked by yellow is 156 degrees
What’s the correct answer for this question? Any help would be appreciated
Answer:
28.317 litres
62.8 litres
The length of a diagonal of square is 20cm.
a) Find the length of a side of the square.
b) Show that the area of the square is 200cm²
I'll mark you as brainliest
[tex]\bold{\huge{\underline{ Solutions }}}[/tex]
Given :-The length of a diagonal is 20 cmTo Find and prove :We have to find the length of a side of the square We also have to show that the area of square is 200 cm²Solution ( a)We have,
The length of the diagonal of a square is 20 cmWe know that,
[tex]\bold{\red{ d = }}{\bold{\red{\sqrt{2}}}}{\bold{\red{ a }}}[/tex]
Where, a is the length of the side of the square d is the the length of the diagonalSubsitute the required values in the above formula :-
[tex]\sf{ 20 = }{\sf{\sqrt{2}}}{\sf{ a }}[/tex]
Squaring on both the sides :-
[tex]\sf{ 400 = 2a^{2}}[/tex]
[tex]\sf{\dfrac{400}{2}}{\sf{ = a^{2}}}[/tex]
[tex]\sf{ 200 = a^{2}}[/tex]
[tex]\bold{ a = 14.14 cm }[/tex]
Hence, The side of the square is 14.14 cm
Solution ( b) :-Here, we have to prove that,
The area of square is 200 cm²We know that,
Area of square
[tex]\bold{\pink{ = side}}{\bold{\pink{\times{ side}}}}[/tex]
The side of the square is 14.14 cmSubsitute the required values,
[tex]\sf{ = 14.14 }{\sf{\times{ 14.14}}}[/tex]
[tex]\bold{ = 200 cm^{2}}[/tex]
Hence, It is proved that the area of the square is 200 cm².
HELPPPPPPPPPPPPP FAST PLS
Answer:
angle xdq= 90-49= 41
angle uxd= 180-41= 139
Step-by-step explanation:
A right angle equals 90 degrees.
90-49 = angle xdq = 41 degrees
49 + 90 + x = 180
angle x = 41
180-41 = angl uxd = 139
HELP!!
Select the correct answer from each drop-down menu.
Consider triangle ABC
The center of the circumscribed circle of the triangle lies on segment ____ which is ____ of the circle.
Answer:
ca and diameter
Step-by-step explanation:
Answer:
In the image
Hope this helps!
Step-by-step explanation:
1. AC
2. the diameter
A computer generates 50 integers from 1 to 8 at random. The results are recorded in this table.
Outcome 1 2 3 4 5 6 7 8
Number of times outcome occurred
5 8 9 7 4 6 5 6
What is the experimental probability of the computer generating a 4 or a 7?
8%
14%
22%
24%
Answer:
D. 24%Step-by-step explanation:
Number of 4 generated is 7 and number of 7 generated is 5.
Total of 7 + 5 = 12 outcomes out of 50:
P(4 or 7) = 12/50 = 24/100 = 24%The experimental probability of the computer generating a 4 or a 7 is D. 24%.
What is experimental probability?Experimental probability calculates the probability of some event from the results of experiments.
For an event E, we get the experimental probability of that event
[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]
where P_e(E) is denoting the experimental probability of occurrence of E.
A computer generates 50 integers from 1 to 8 at random. The results are recorded in this table.
Outcome 1 2 3 4 5 6 7 8
Number of times outcome occurred
5 8 9 7 4 6 5 6
The Total of 7 + 5 = 12 outcomes out of 50:
The experimental probability of the computer generating a 4 or a 7
P(4 or 7) = 12/50
= 24/100
= 24%
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Frank made 105$ for 5 hours of work.
At the same rate, how much would he make for 7 hours of work?
Answer:
147$
Step-by-step explanation:
105/5 = x/7
x = 105*7/5 = 147
find the coordinates if the midpoint of the line segment whose endpoints have the given coordinates (2,4) and (6 ,8)
Answer:
[tex]m = \frac{y2 - y1}{x2 - x1} \\ \frac{8 - 4}{6 - 2} \\ = \frac{4}{4} \\ m = 1[/tex]
Answer:
if you mean find the coordinates "of" the midpoint then the solution is
Step-by-step explanation:
(x1+x2)/2 and (y1+y2)/2
so
(2+6)/2=8/2=4 and (4+8)/2=12/2=6
so the coordinates of the midpoint of the given segment is
(4,6)
if f(x) = 3x^2 express the value of f(2+h)-f(2)/h as a polynomial in terms of h.
A. 3h+12
B. 6h
C. 3h+3
D. 6h+6
Answer:
Step-by-step explanation:
given that sectheta - tantheta =1/4, find sectheta + tantheta
Answer:
4
Step-by-step explanation:
{sec(θ) - tan(θ) = 1/4, sec(θ) + tan(θ)} = tan(θ) + sec(θ) = 4
use subsitution
ANSWER FOR 100 POINTS!!! VERY EASY QUESTION, BUT NEED EXPLANATION AS IT's A FREERESPONSE
In the figure below, ∠ABC ≅ ∠DEC and ∠GFE ≅ ∠DCE. Point C is the point of intersection between segment AG and segment BD, while point E is the point of intersection between segment AG and segment DF.
Prove ΔABC ∼ ΔGEF.
Step-by-step explanation:
We are given that ∠ABC≅∠DEC and ∠GFE≅∠DCE
By Vertical Angles: ∠DEC≅∠GEF and ∠DCE≅∠ACB
By Substitution: ∠ABC≅∠GEF and ∠GFE≅∠ACB
By Angle-Angle Similarity: ΔABC~ΔGEF
Hope this helps! Sorry if I didn't explain well :(
Car A is traveling west at 40 mph and car B is traveling north at 55 mph. Both are departing from the intersection of two roads at the same time. Write a function representing the distance between the two cars in terms of the time , in hours, that has elapsed since the cars left the intersection.
Answer:
[tex]5\sqrt{185}t[/tex]
Step-by-step explanation:
after time t (hr), the distance between A and starting point is 40t
the distance between B and starting point is 55t
These two distances are perpendicular to each other, so
the distance between A and B is
[tex]\sqrt{(40t)^2+(55t)^2}=\sqrt{4625t^2}=5\sqrt{185}t[/tex]
Consider the sequence -9, -5, -1, 3, 7,..
1) Is this sequence arithmetic, geometric, or neither?
How can you tell?
2) What is the first term of the sequence?
3) What is the sequence generator?
Answer:
1) The sequence is arithmetic as the same value is added each time (there is a common difference between terms).
2) First term of the sequence = -9
3) sequence generator = + 4
Step-by-step explanation:
1) The sequence is arithmetic as the same value is added each time (there is a common difference between terms).
2) First term of the sequence = -9
3) sequence generator = + 4
look at the photo attached for the question, please help asap!
Answer:
y ≥ - 0.8
Step-by-step explanation:
[tex]\sqrt{25y^2 +40y+16}[/tex] = 5y + 4
[tex]\sqrt{(5y+4)^2}[/tex] = 5y + 4
5y + 4 = 5y + 4 and 5y + 4 ≥ 0 ⇒ y ≥ - 0.8
y ∈ [ - 0.8 , ∞ )
- ( 5y + 4 ) = 5y + 4
10y = - 8
y = - 0.8
The answer is y ≥ - 0.8
Please help! I will give Brainliest! A Bernoulli counting process has the following realization:
N0=0, N1=1, N2=1, N3=1, N4=2, N5=3, N6=3, N7=4, N8=4, N9=5
What is the value of X6?
What is the value of S3?
If the success probability is p=0.2, What is P{N2=1, N5=3, N7=4}?
The Bernoulli counting process depicts that the value of X6 will be 0.
How to solve the Bernoulli counting processThe value of X6 will be:
= N6 - N5
= 3 - 3
= 0
Also, the value of S3 will be:
X1 = 1 - 0 = 1
X2 = 1 - 1 = 0
X3 = 1 - 1 = 0
Therefore, S3 will be:
= X1 + X2 + X3
= 1 + 0 + 0
= 1
In conclusion, the value of S3 is 1.
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Felicia pours juice from a carton into a glass. Every time she fills the glass, the amount of juice in the carton changes by −0.44 L. She fills her glass 2 3/4 times in all. Bernadette has a different carton of juice that is the same size. Every time she fills her glass, the amount of juice in her carton changes by −0.42 L. She fills her glass 2 2/3 times in all. Who has the greater total change in the amount of juice in their carton? Show your work. Explain your reasoning.
The work shows the first steps of writing a partial fraction decomposition. StartFraction negative 5 x cubed + 2 x squared + 9 x + 2 Over (x squared + 2) squared EndFraction = StartFraction A x + B Over x squared + 2 EndFraction + StartFraction C x + D Over (x squared + 2) squared EndFraction Negative 5 x cubed + 2 x squared + 9 x + 2 = (A x + B) (x squared + 2) + C x + D Negative 5 x cubed + 2 x squared + 9 x + 2 = A x cubed + 2 A x + B x squared + 2 B + C x + D For this partial fraction decomposition, find the unknowns. A = , B = , C = , and D =
Answer:
I'm certainly late, but it took me a while to figure this one out so I want to leave an answer.
A=-5 B=2 C=19 D=-2
Step-by-step explanation:
I looked back at the video and actually tried to pay attention and the way to figure these problems out is set up all of the degrees of x in an equation. So, take all of the coefficients that are attached to an x^3, and set them up equal to each other. This makes -5=A, which is the first answer. Repeat for x^2 and you have B=2. For x, it becomes 9=2A+C. A is equal to -5 (from the x^3), so you can substitute and get c=19. Repeat for the x^0 term (the constants), and you get 2=2B+D. Plug in the value for B, 2, and get 2=4+D, which then becomes D=-2. That's how you get the answer and I hope this helps somebody.
The values are A=-5, B=2, C=19 and D=-2
What is partial fraction?Partial fractions are the fractions used for the decomposition of a rational expression. When an algebraic expression is split into a sum of two or more rational expressions, then each part is called a partial fraction. Hence, basically, it is the reverse of the addition of rational expressions.
Given:(-5x³+2x²+9x+2) / x²+2 =(Ax + B)/x²+2 + (Cx + d)/x²+2 .......(1)
First, we have to perform the long division as follows
The long division gives
(-5x³+2x²+9x+2 )/ x²+2= ( -5x+2)+ (19x-2)/ x²+2
Now, we have to find the partial fraction for (19x-2)/ x²+2
But, as denominator cannot be factored, So no partial fraction can be calculated.
Thus, (-5x³+2x²+9x+2 )/ x²+2= ( -5x+2)+ (19x-2)/ x²+2
Comparing it with equation (1), we get
Hence, A=-5, B=2, C=19 and D= -2
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Sophie has 60 pencils.
The ratio of sharpened pencils to blunt pencils is 4:1
How many sharpened pencils does Sophie have?
Answer:
30
Step-by-step explanation:
Because of the following statement is not true no.of atoms
Answer:
48
Step-by-step explanation:
4+1=5
60÷5=12
12×4=48
-107
Describe the transformation that maps the pre-image A to the image A.
1)
A)
translated 8 units up and then reflected across the y-axis
B)
- translated 8 units down and then reflected across the y-axis
Eliminate
translated 1 unit to left and then rotated 180° counterclockwise about the
origin
D)
translated 1 unit to right and then rotated 180° counterclockwise about
the origin
Answer:
C) translated 1 unit to the left and then rotated 180° counterclockwise about the origin
Step-by-step explanation:
by inspection, shape A has been translated 1 unit to the left and then rotated 180° counterclockwise about the origin
What is x3+y3+z3? I need help please.
x^3 + y^3 + z^3
Cannot be fully factored because it is already in it's most simplistic form.
But, I can halfway factor it, which is
(x+y+z)^3 - 3( yx^2 + zx^2 + xz^2 + yz^2 + xy^2 + zy^2 + 2xyz )
1. integers less than or equal to +5 but greater than -5
2. negative integers greater than -8 but less than +10
[tex] \tt\huge Answer \to[/tex]
5 , 4 , 3 , 2 , 1 , 0 , - 1 , -2 ,-3 , -4-7, -6 , -5, -4 , -3 , -2 , -1 a) Multiply 82 X 34 with math workings
b) multiply 69 x 12 with math working
Multiply each term of 82 by each broken term of 34, i.e.
[tex] \tt \multimap \: 80 \times (30 + 4) + 2 \times (30 + 4)[/tex]
[tex] \tt \nrightarrow \: 80 \times 34 + 2 \times 34[/tex]
[tex] \tt \Rrightarrow \: 2720 + 68[/tex]
[tex] \tt \rightharpoonup \: 2788[/tex]
#b69 = 70-112 = 10+2Multiply each term of 69 by each broken term of 12, i.e.
[tex] \sf \multimap \: 70 \times (10 + 2) - 1(10 + 2)[/tex]
[tex] \sf \nrightarrow \: 70 \times 12 - 1 \times 12[/tex]
[tex] \sf \Rrightarrow \: 840 - 12[/tex]
[tex] \sf \rightharpoondown \: 828[/tex]
Tevin leaves school to walk home. His friend, Karen, notices 0.2 hours later that Tevin forgot his phone at the school. So Karen rides her bike to catch up to Tevin and give him the phone. If Tevin walks at 2 mph and Karen rides her bike at 8.2 mph, find how long (in hours) she will have to ride her bike until she catches up to him.
Answer:
Step-by-step explanation:
equation is:
8.2x=0.2x+0.4
if x is time
8.2x-0.2x=0.4
8x=0.4
x=0.05 hours from when Karen starts and 0.45 hours fromt the time tevin started.
Find the values of x, y, and z in the
parallelogram. Note that the figure is not
drawn to scale.
Step-by-step explanation:
we know that sum of all angles of a triangle is 180°
so, angle N + angle O + angle M = 180°
=> (-5b+16)+(-b+8)+(-9b-9) = 180°
=> -5b+16-b+8-9b-9 = 180°
=> -15b+15 = 180°
=> -15b = 180-15
=> -15b = 165
=> b = -165/15
=> b = -11
angle N => -5(-11)+16
=> 55+16 => 71
angle O => -(-11)+8
=> 11+8 => 19
angle M => -9(-11)-9
=> 99-9
=> 90
II. UNKNOWN VALUE. Solve for the measure of the unknown angles in parallel lines cut by transversal
I need it asap
Answer it for 10 points
A class consists of 15 boys of whom 5 are prefects.
a) How many committees of 8 can be formed if each consists of exactly 2 prefects?
there would only be one committee of eight, because there is only 15 boys if you add it up 7 + 8= 15 you do not have enough boys to form more than one committee there will be seven boys left out three of which are perfect
3x+3x+3x+3x+4x
what is the measure of vertex A
Answer:
16x
Step-by-step explanation:
just sum all of it friend π - π
the awnser is 16x duh that's easy how do u not know
make h the subject of formula
[tex]v = \frac{1}{2} lbh[/tex]
Answer:
Step-by-step explanation:
Multiplying both sides of this equation by 2 eliminates the fraction:
2v = lbh
and dividing both sides by lb isolates (solves for) h:
2v
h = ---------
lb
can someone pls look at the recent questions on my page.
Answer:
sure I will
Step-by-step explanation:
please give brainiest
Answer:
where is your pic can you post