Answer:
option (4)
Step-by-step explanation:
Calculate the length using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A(2, 2) and (x₂, y₂ ) = B(- 6, 4)
AB = [tex]\sqrt{(-6-2)^2+(4-2)^2}[/tex]
= [tex]\sqrt{(-8)^2+2^2}[/tex]
= [tex]\sqrt{64+4}[/tex]
= [tex]\sqrt{68}[/tex]
≈ 8.25 ( to 2 dec. places )
A running track design is composed of two half circles connected by two straight-line segments. Garrett is jogging on the inner lane (with radius r) while Devin is jogging on the outer (with radius R). If r= 30 meters and R= 33 meters, how much longer does Devin have to run to complete one lap?
Answer:
18.86 m
Step-by-step explanation:
From the given question, both covers the same distance of the straight line segment.
For the inner lane,
length of arc of its semicircle = [tex]\pi[/tex]r
= 30 x [tex]\frac{22}{7}[/tex]
= 94.2857
So that,
the total length for the two halves of the inner lane = 2 x 94.2857
= 188.5714 m
For the outer lane,
length of arc of its semicircle = [tex]\pi[/tex]r
= 33 x [tex]\frac{22}{7}[/tex]
= 103.7143
The total length for the two halves of the outer lane = 2 x 103.7143
= 207.4286 m
The difference between the two = 207.4286 - 188.5714
= 18.8572 m
Therefore, Devin would run 18.86 m more to complete one lap.
Hello, I need help with these math questions, can someone help as soon as you can?
Answer:
1. x<-2 2. -2<_x 3. x<_ 4
Step-by-step explanation:
hope this helps
Given that v = (5,-4, 4) and w = (9-2,7) , evaluate v • w.
Answer:
a
Step-by-step explanation:
Given
u = (x₁, y₁, z₁ ) and v = (x₂, y₂, z₂ ) then the dot product is
u • v = (x₁ x₂ ) + (y₁ y₂ ) + (z₁ z₂ )
Then
v • w
= (5 × 9) + (- 4 × - 2) + (4 × 7)
= 45 + 8 + 28
= 81 → a
please help, need help asap!
In an alloy of gold and silver the ratio of the metals is 6:4. How much gold is there in 200 grams of this alloy?
Answer:
120 gold is in the alloy
Step-by-step explanation:
G:S
6:4
6+4=10
200/10=20
20*6=120
Hope this helps!
X-15>-20
Please help first answer gets brainliest
Answer:
x > -5
Step-by-step explanation:
hope this helps :)
Answer:
x>-5
Step-by-step explanation:
X-15>-20
Add 15 to both sides;
x-15+15=>-20+15
simplify
x>-5
Hope this helped!
Helped by none other than the #QUEEN herself aka # DrippQueenMo
Keona pours 128 ounces of water into a jar 3 times to fill it. How many pints of water does it take to fill the jar? (4 points)
Answer:
24 pints
Step-by-step explanation:
128 ounces · 3 = 384 ounces
384/16 = 24 pints
Answer:
There are 16 ounces in a pint. 128 ounces will then be 128/16, or 8 pints. If you use three of the 128 ounces, or 8 pints, you can multiply the 8 by 3, giving 24 pints.
Step-by-step explanation:
Time Remaining56:19m:s When I have walked 20 % of the way to school, I have 1200 metres more to walk than when I have 20 % of the walk remaining. How far, in metres, is it from my home to my school?
Answer:
x = Total distance from your home to school = 1,500 meters
Step-by-step explanation:
Let
x = Total distance from your home to school
When you walked 20% of the way to school, you still have 1200 meters more to walk
Walked distance = 20% of x
= 20/100 * x
= 0.2 * x
= 0.2x
Total distance - walked distance = 1200 meters
x - 0.2x = 1200
0.8x = 1200
x = 1200 / 0.8
x = 1,500 meters
x = Total distance from your home to school = 1,500 meters
find the volume of the cylinder!
Use 3.14 for pi-
round your answer to the tenths place !!
Will mark b if correct:)
Answer: this is the answer i got before rounding it 2123.72 but your answer is 2123.7 hope it helps
Step-by-step explanation:
a number increased by 8 is 21 help
Answer:
the number is 13
Step-by-step explanation:
13+8=21
Answer:I think it means that a number plus 8 is 21? or possibly multiplied?
Step-by-step explanation:
can anyone explain this to me?
please help with this question?!?
Answer:
416 mi
Step-by-step explanation:
In order to find the surface area, you must find the area of each square. There are a total of 6 that make up the prism.
Remember to find the area it is length x width
9 x 8 = 72 which is the area for 4 of the squares. 2 on the side and 2 on the bottomLastly for the last 2 squares to find the area you multiply 8 x 8 = 64In total, you will add 72+72+72+72+64+64 which equals 416Plz help me solve and show your work.
Hi there!
[tex]\large\boxed{h = \frac{15x}{y}}[/tex]
Recall the volume of a pyramid is:
V = 1/3(bh)
We are given the volume and side length of the base. Find the area of the base:
A = s²
A = (5xy²)² = 25x²y⁴
Plug in the solved for base:
125x³y³ = 1/3(25x²y⁴)h
To isolate for h, begin by multiplying both sides by 3:
375x³y³ = (25x²y⁴)h
Divide both sides by 25x²y⁴. Use the following exponent property:
xᵃ / xᵇ = xᵃ⁻ᵇ
Thus:
375x³y³ / 25x²4⁴ = 15x/y.
The height must be equal to:
[tex]h = \frac{15x}{y}[/tex]
Amare drops a probe into a lake. The elevation of the probe changes
by - 13 feet every second. The probe takes 50 seconds to reach
the bottom of the lake. How deep is the lake? Show your work .
Answer:
13 x 50 = 650
Step-by-step explanation:
Answer:
75 ft
Step-by-step explanation:
What is the area, measured in square meters, of the parallelogram shown?
Round to the nearest tenth, if necessary.
Answer:
A = (11 m)(4.33 m) = 47.6 m^2
Step-by-step explanation:
The width of this parallelogram is (5 m)(sin 60 degrees), or approximately 4.33. This is the length of the dashed line shown.
The area of this parallelogram is A = (length)(width), which here is:
A = (11 m)(4.33 m) = 47.6 m^2
Answer:
55
Step-by-step explanation:
i think
Two observers are standing on shore ½ mile apart at points A and B and measure the angle to a sailboat at a point C at the same time. Angle A is 63° and angle B is 56°. Find the distance from each observer to the sailboat. Round to the nearest hundredth of a mile.
Answer:
Step-by-step explanation:
The length 0.51 miles and 0.47 miles are the distances from each observer to the sailboat.
What is the Sine Rule?The Law of Sines (also called the Sine Rule) is defined as it relates all three sides of a triangle with an angle of a triangle.
Triangle is a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry.
As per the given question, the given data as:
A = 63
B = 56
C = 61 (because these angles should add up to 180)
c = 1/2
We know that the Sine Rule,
sin 63 / a = sin 61 / .5
a = 0.51 miles
sin 56 / b = sin 61 / .5
b = 0.47 miles
Therefore, the length 0.51 miles and 0.47 miles are the distances from each observer to the sailboat.
Learn more about Trigonometric functions here:
brainly.com/question/6904750
#SPJ2
Can someone please help me answer this question asap thank you . No links please and thank you .
Jim wants to buy a new tablet for his homework. His budget is $350. If the tablet costs $330 plus 4.5% sales tax, can he buy it for $350 or less?
Answer:
Yes, he can buy it for $350 or less
Step-by-step explanation:
330.00 x 4.5%
330.00 x 0.045 = 14.85
330.00 + 14.85 = 344.85
or
330.00 x 1.045 = 344.85
Find the area of the trapezoid.
What is the area of a trapezoid with bases of 19.6 yd and 29.7 yd and a height of 19.1 yd?
Answer:
470.81 or 470.815
Step-by-step explanation:
What is ?
A.20º
B.70º
C.90º
D.180º
Answer:
i think it is 90
Step-by-step explanation:
remember the line is srait
a+b=8
3a - 45=3
And is it good for the elimination method
Answer: a is 16, b is -8
Step-by-step explanation:
3a-45=3
add 45 to both sides to get rid of -45
3a=48
divide both sides by 3
a = 16
plug 16 into the first equation
16 + b = 8
subtract 16 from both sides
b = -8
is it good for the elimination method? hmm i probably wouldn't use it in this case since there aren't any variables to cancel out.
PLEASEE HELP ME FAST
Answer:
Step-by-step explanation:
2/3 ÷ 1/3
=2/3 × 3/1 (recipracol)
=6/3
=2
Answer:
2 and [tex]\frac{8}{5}[/tex]
Step-by-step explanation:
when you divide by a fraction you just multiply by its reciprocal
[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{3}[/tex] = [tex]\frac{2}{3} * \frac{3}{1}[/tex]
then just solve
[tex]\frac{6}{3}=2[/tex]
for the second one do the same thing
[tex]\frac{4}{5} * \frac{2}{1} =\frac{8}{5}[/tex]
SOMEONE PLZ HELP ME
In the following inequality, x ≥ −2, what type of circle would appear on the number line (open or closed circle) and in which direction would the arrow point on the number line(right or left)?
Also, what is a possible solution to x ≥ −2?
Please answer all of the questions in sentence form.
Answer:
this would be a closed circle all innequalities with a greater to or equal to or less than or equal to they will always be closed if it just says less than or greater than it will be open
Step-by-step explanation:
Answer:Closed Circle To the right
A rake was marked up 25% from an original cost of $8.80. Last Friday, Dean bought the rake and paid an additional 3% in sales tax. What was his total cost?
Answer:
$11.33
Step-by-step explanation:
First I did 8.80 x 0.25 and I got 11. Than I did 11.00 x 0.03 and I got $11.33. The total cost was $11.33
The total cost of the rake is $11.33.
What is the sales tax?Calculating the sales tax applied to a purchase is a matter of simply multiplying the tax rate by the purchase price using the equation sales tax = purchase price × sales tax rate. Adding the sales tax to the original purchase price gives the total price paid with tax.
Given that, a rake was marked up 25% from an original cost of $8.80.
25% of the original cost of $8.80 is
0.25×8.80 =$2.2
So the marked up price was 8.80+2.20
= $11
He then paid an additional 3% in sales tax, that is
11 + 0.03×11 = $11.33
Therefore, the total cost of the rake is $11.33.
To learn more about the sales tax visit:
brainly.com/question/27092799.
#SPJ2
I need help with this!
Answer:
Step-by-step explanation:
What is the question?
Help me please aahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Question 3
The equation y = 3x − 3 can be used to find y when x is given. Which question can be answered using this equation?
Select one:
Daniel is 3 years younger than 3 times Allison's age. How old is Daniel?
The cost of the necklace is more than 3 times the cost of the earrings. What is the cost of the earrings?
Mr. Byrd worked 3 hours less than 2 times his regular shift on Tuesday. How many hours is his regular shift?
Jacqui and Alex spent 3 hours more than 3 times the original time planned to build the new deck on their house. How much time did they spend?
Evaluate 5!-4!=1
Please help with this thanks
Answer:
exact form:
1/4
decimal form:
0.25
116= 1
is correct
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Which of the following are equivalent to the expression 9/4(1.75−2 1/4)?
Answer: -1 1/8 (Decimal: -1.125)
Pls help what is the answer? I need help, no links are allowed.
Answer:
44 cm³
Step-by-step explanation:
If you break up this shape into 2 pieces you get a rectangle with the measurements of 2, 2, and 5 and another rectangle with the measurements of 2, 2, and 6. You then multiply 2, 2, and 5 together which will get you 20, and multiply 2, 2, and 6 together which will get you 24. You will then add both products which will get you 44. Since the measurement is in centimeters and it is a 3 dimensional shape it will then become 44 cm³.