Answer:
[tex]16^2-(\dfrac{x}{2})^2=(16+\dfrac{x}{2})(16-\dfrac{x}{2})[/tex]
Step-by-step explanation:
The given expression is : [tex]256-\dfrac{x^2}{4}[/tex].
We need to factorize it.
We know that, 16² = 256
So,
[tex]256-\dfrac{x^2}{4}=(16)^2-(\dfrac{x}{2})^2[/tex]
We know that, [tex]a^2-b^2=(a-b)(a+b)[/tex]
[tex]16^2-(\dfrac{x}{2})^2=(16+\dfrac{x}{2})(16-\dfrac{x}{2})[/tex]
Hence, this is the required solution.
At the city Museum child admission is $6.40 in adult admission is $9.70 on Sunday 149 tickets were sold for a total sales of $1145 how many adult tickets were sold that day
Answer:
Adult=58
Step-by-step explanation:
c=child, a=adult
6.4c+9.7a=1145 equation 1
c+a=149 equation 2
a=149-c modified equation 2 to isolate a
6.4c+9.7(149-c)=1145 substitute value of a from equation 1 into equation 2
6.4c+1445.3-9.7c=1145
-3.3c=-300.3
c=91
solve for a
c+a=149
91+a=149
a=58
Check answer:
6.4c+9.7a=1145
6.4(91)+9.7(58)=1145
582.40+562.60=1145
1145=1145
*Brainliest!* What are the AREA and Perimeter of this collection of tiles?
Answer:
15 I think
Step-by-step explanation:
Use rational exponents to represent 65,535
can someone answer this please
Answer:
Lauren saves $4,200 and Harold saves $1,050 after 6 months.
Step-by-step explanation:
700 × 6
175 × 6
A study conducted by a commuter train transportation authority involved surveying a random sample of 200 passengers. The results show that a customer had to wait on the average 9.3 minutes with a standard deviation of 6.2 minutes to buy his or her ticket. Find the upper confidence limit (UCL) for a 95% confidence interval for population mean , the true mean waiting time. Round your answer to two decimal places.
Answer:
The UCL of the 95% confidence interval for population mean is 10.16 minutes
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{6.2}{\sqrt{200}} = 0.86[/tex]
The upper end of the interval is the sample mean added to M. So it is 9.3 + 0.86 = 10.16 minutes.
The UCL of the 95% confidence interval for population mean is 10.16 minutes
Three divided by one-fourth
Answer:
3 divided by 3/4 is 4
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
3÷1/4
3×4
12
I hope this helps.
Find the value of the missing angle please help!
Answer:
4th Option, 45.1
Step-by-step explanation:
Cos(Ф) = [tex]\frac{12}{17}[/tex]
Ф = Cos⁻¹ ([tex]\frac{12}{17}[/tex])
Ф = 45.1
Hope this helps!
Which of the following is the correct point-slope equation for the line that
passes through the point (-3,-9) and is parallel to the line given by
y = 2.5x - 20?
O A. Y-3 = 2.5(x - 9)
O B. y + 3 = 2.5(x + 9)
O C. y + 9 = 2.5(x+3)
O D. Y- 9 = 2.5(x-3)
Answer:
these are negative numbers
Step-by-step explanation:
Given ABC AB=6,AC=9, find BC
Answer:
BC is 12
Step-by-step explanation:
Which means that you just add by 3 which is the rule
10.
V=720 cm
L=?
P=15 cm
T=8 cm
A. 6 cm
B. 8 cm
C.10 cm
D. 12 cm
Answer:
6 cm
Step-by-step explanation:
Given the information :
V=720 cm
L=?
P=15 cm
T=8 cm
The volume = L * P * T
V = L * P * T
720 = L * 15 * 8
720 = L * 120
L = 720 / 120
L = 6 cm
I need help with this question
Answer:
Step-by-step explanation:
i believe x=28?
In circle F with mZEFG = 30 and EF =
30 and EF = 11 units, find the length of arc EG.
Round to the nearest hundredth.
F
G
E
Answer:
5.76 units
Step-by-step explanation:
Length of arc EG = central angle/360 × 2πr
Where,
central angle = 30°
radius (r) = 11 units
Plug in the values into the formula
Length of arc EG = 30/360 × 2 × π × 11
Length or arc EG ≈ 5.76 units (to nearest hundredth)
ΔABC and ΔXYZ are similar triangles. The lengths of two sides of each triangle are shown. Find the lengths of the third side of each triangle.
Answer:
a=7.6
y=2.3
Step-by-step explanation:
2.5/5=3.8/a
1/2=3.8/a
a=7.6
2.5/5=y/4.6
1/2=y/4.6
2y=4.6
y=2.3
plz help i didnt take this
Answer:
A.
Step-by-step explanation:
SOH CAH TOA
sin40°= Opposite ÷ Adjacent
sin 40°= 6/x
Two trucks started toward each other at the same time from towns 500 lm scart One truck traveled at a rate of 65 km per hour wrile the other traveled at 50 km per hour. After how many hours did they meet?
If represents the number of hours, which of the following equations could be used to solve the problem?
65x=60x
65x -60x=500
65x+60x=500
Answer:
65x + 60x = 500
add 65x and 60x
this will equal 125x
divide 500 by 125
this will give you x = 4
which gives you the answer that the trucks will meet in 4 hours
please mark as brainliest
hope this helps : )
Step-by-step explanation:
NEED HELP!!!! ILL MARK BRAINLESS FIRST PERSON!!!!
Answer:
THE ANSWER SHOULD BE B
HAVE A GOOD DAY
Step-by-step explanation:
Answer:
sort several bags and calculate percentage
Given: cosθ= 4/5
Find: sin2θ
Answer:
cos theta=4/5
b/h=4/5
b=4 and h=5
p=?
H^2=P^2+B^2
5^2=P^2+4^2
25-16=P^2
9=P^2
[tex]\sqrt{9}[/tex]=P
3=P
Now,
sin2theta
=p/h2
=3/5*2
=9/5
Step-by-step explanation:
Answer:
About 36.87 degrees; sinθ=3/5
Step-by-step explanation:
Note: I made an assumption with the Find: sin2θ part of your question, as it turned up as invalid when working on it on my end. Therefore, I assumed that it was sinθ. If it was something else, tell me and I can correct the answer/content.
Since within a triangle there are three sides when solving an angle, being opposite, adjacent and hypotenuse.
By already having cosθ=4/5. the rest of the problem can be solved. Since cosine is adjacent over hypotenuse, we can use the Pythagorean Theorem, solving for one of the legs of the triangle with:
c^2-b^2=a^2
Now, just plug in c as the 5 (the hypotenuse) and b as 4 (one of the legs).
5^2-4^2=a^2
25-16=a^2
9=a^2
a=3
The other leg is 3. With this, 3 would be the opposite angle from sin 20. Therefore, it can be plugged in the sine equation to get the answer. Remember, sine is Opposite/Hypotenuse.
sinθ=3/5
Move over the sine to then opposite side, inverse it:
θ=sin-1 3/5
Use a calculator.
θ = about 36.87 degrees.
Hi 10 +10 here is me question help
Answer:
[tex] \huge\red{\boxed{\mathfrak{Hello}}}[/tex]
[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]
[tex]10 + 10 \\ = 20[/tex]
Answer:20
Step-by-step explanation:
10+10=20
Find the inverse for each relation:
1. {(1,-2), (2, 3),(3, -3),(4, 2)}
Answer:
the inverse for each relation:
1. {(1,-2), (2, 3),(3, -3),(4, 2)} is
{(-2,1),(3,2),(-3,3),(2,4)}.
The graph of a line has a slope of 3 and passes through the point (-4,-5).
What is the equation of the line in point-slope form?
Answer:
3x - y + 7 = 0
Step-by-step explanation:
The given point is , ( -4 , -5) and the slope is 3. The point slope form is ,
=> y - y₁ = m( x - x₁)
=> y - (-5) = 3 { x - (-4) }
=> y +5 = 3( x + 4 )
=> y + 5 = 3x + 12
=> 3x - y + 12 - 5 = 0
=> 3x - y +7 = 0
Hence the equation of the line is 3x - y + 7 = 0 .2.93 km
Before the eruption of a volcano, the volcano was 2.93 kilometers
high. After the eruption, the volcano was 2.53 kilometers high
Use the bar diagram to find the difference in height of the volcano
before and after the eruption, in meters,
2.59 km
Click the icon to see the metric units of length
meters,
The difference in height of the volcano before and after the eruption is
(Type a whole number or a decimal)
Answer:
0.4
Step-by-step explanation:
o.5 is < or > or = to 0.7
Answer:
.5 < .7
Step-by-step explanation:
unless its negatives, the bigger the number the more value it has
0.5 > 0.7 i hope this helpsssss
which measurement is closest to the area of the shaded region in square inches
What is the most specific name for the figure?
A(-a, 0)
B(-2a, a)
C(-a, 2a)
D(0, a)
A. Parallelogram
B. Rectangle
C. Square
D. Rhombus
Answer:
Its C. Square
Step-by-step explanation:
The most specific name for the figure is Square.
What is Quadrilateral?A quadrilateral is a four-sided polygon in geometry with four sides and four vertices. The Latin words quadri, which means "four," and latus, which means "side," are the sources of the word. Similar to other polygons like the pentagon, it is also known as a tetragon, derived from the Greek words "tetra," which means "four," and "gon," which means "corner" or "angle." It is also known as a quadrangle or a 4-angle because the word "gon" means "angle."
Given figure with coordinates
(-a, 0), (-2a, a), (-a, 2a), (0, a)
from coordinates length of side can be calculated excluding negative sign,
side = (y₂ - y₁)/(x₂ - x₁)
AB = (a - 0)/(-2a + a) = -1
BC = (2a - a)/(-a + 2a) = 1
CD = (a - 2a)/(0 + a) = -1
DA = (a - 0)/(0 + a) = 1
excluding negative sign for length all sides are equal
it is a Square: A regular polygon with four sides of equal length and angles of equal length of 90 degrees each is called a square.
Hence the figure is Square.
Learn more about Quadrilateral;
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Find the distance between the origin and the point (10,45,57)
Answer:
Step-by-step explanation:
3D space (x, y, z) = (10, 45, 57)
I will use x² + y² = (2D Hyp)² and (2D Hyp)² + z² = (3D Hyp)²
which is just x² + y² + z² = (3D Hyp)²
10² + 45² + 57² = (3D Hyp)²
100 + 2025 + 3249 = 5374 = (3D Hyp)² the destance from the origin
= 73.31 the destance from the origin
I need help please urgent
Answer:
its ok don't worry
Step-by-step explanation:
its a mental answer
HELP PLZZZZZ OMGGGGGGG
A line segment AB has midpoint (2, 5). If the coordinates of A are (-1, -3), what are the coordinates of B?
Answer:
B (5; 13)
Step-by-step explanation:
Midpoint (x) = (-1 + bx)/2 = 2
Bx - 1 = 4
Bx = 5
Midpoint (y) = (-3 + By)/2 = 5
By - 3 = 10
By = 13
B (5; 13)
I WILL MARK BRAINLIEST
DO NOT GUESS OR ATTACH FILE OR I WILL REPORT
Mara spins this spinner and rolls one six-sided die. What is the probability of spinning a 3 and rolling a 3 on the die?
(Photo above) Pls help
Answer:
D. The probability is 7%.
How many mL (milleters) are in 12.9 liters?
1. 129 mL
2. 1,290 mL
3. 12,900 mL
4. 129,000 mL
please help ASAP!
Given statement solution is :-12.9 liters are in milleters is 12,900 mL.
The metric system uses millilitres as the unit of volume, denoted by the letters ml or mL. One cubic centimetre, or one thousandth of a litre, is equivalent to one millilitre. That's a little sum in the imperial system.
A measure of volume in the metric system. One thousand milliliters equal one liter. Additionally known as cc, mL, and cubic centimetre.
To convert liters to milliliters, you need to multiply the number of liters by 1,000, since there are 1,000 milliliters in a liter.
So, multiplying 12.9 by 1,000 will give you the answer to how many millilitres are in 12.9 litres:
12.9 litres x litres per 1,000 = 12,900 mL
Therefore, option 3: 12,900 mL, is the milleters right response.
For such more questions on milleters
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