If a track is 400 meters around, how many laps around the track would it take to run 3.1 miles? Round to the nearest tenth. (Hint: 1 foot = 0.3048 meter) WRITE THE DIMENSIONAL ANALYSIS!!!!!!!!!!!!
Answer:
3200 meters
Step-by-step explanation:
because it is
Conversion of units is the conversion of one unit to another unit by the process of multiplication or division.
The number of laps around the track to run for 3.1 miles is 12.5.
What is unit conversion?Conversion of units is the conversion of one unit to another unit by the process of multiplication or division.
We have,
The track length = 400 meters
One lap = 400 meters.
We have,
3.1 miles
1 foot = 0.3048 meter ____ (1)
We know that,
[ 1 mile = 5280 foot ]
So,
3.1 miles = 3.1 x 5280 foot
3.1 miles = 16368 foot
From (1),
3.1 miles = 16368 x 0.3048 meter = 4988.9664 meters
Now,
Since 400 meters is one slap.
The number of laps in 4988.9664:
Divide 4988.9664 by 400
= 4988.9664 / 400
= 12.47
Rounding to the nearest tenth.
= 12.5
Thus the number of laps around the track to run for 3.1 miles is 12.5.
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Determine if the two triangles are congruent. If so, select the appropriate congruence postulate. If not, select the reason why.
Answer:
Asa
Step-by-step explanation:
Because if u look left to right on one triangle there is a angle and in between they have a com on line and on the right theres another angle so There for it’s angle side angle
A. Gregorio has to make 84 cookies for scout
camp. How many dozen cookies is that?
Answer:
7 dozen cookies
Step-by-step explanation:
12 cookies are in a dozen, 84 / 2
If you have a book to read that is 20 pages, and you have read 15% of the book, how many pages as you read?
Answer:
you would of read 3 pages
Step-by-step explanation:
please pick the right anwers no bots please
Answer:
1. 2/3
2. 0
3. 7/2
4. -2
5. -2
6. 1
7. -4/3
8. Undefined
9. 8
10. 9/5
The Truth Table Represents Statement P,Q,R
Which statement is true for rows A, C and E
R—> (p^q)
R—>(p v q)
(q^r)—>p
(q v r) —>p
Recall that a ⇒ b ≡ ¬a ∨ b.
• r ⇒ (p ∧ q) ≡ ¬r ∨ (p ∧ q)
In row C, q is false so p ∧ q false, and r is true so ¬r is false.
¬r ∨ (p ∧ q) ≡ false ∨ false ≡ false
• r ⇒ (p ∨ q) ≡ ¬r ∨ (p ∨ q) = p ∨ q ∨ ¬r
In each of rows A, C, and E, at least one of p or q is true, so
p ∨ q ∨ ¬r = true
• (q ∧ r) ⇒ p ≡ ¬(q ∧ r) ∨ p ≡ (¬q ∨ ¬ r) ∨ p = p ∨ ¬q ∨ ¬r
In row E, p is false and both q and r are true, so ¬q and ¬r are both false.
false ∨ false ∨ false = false
• (q ∨ r) ⇒ p ≡ ¬(q ∨ r) ∨ p ≡ (¬q ∧ ¬r) ∨ p
In row E, p is false and both q and r are true, so both ¬q and ¬r are false.
(¬q ∧ ¬r) ∨ p ≡ (false ∧ false) ∨ false ≡ false ∨ false ≡ false
A squid is 42 3/4 feet below rhe surfaceof the ocean. A seagull is 12 1/2 feet above the surface. What is the distance between the squid and the seagull?
Answer: 55 1/4
Step-by-step explanation: If a squid is 42 3/4 feet below the surface of the ocean and a seagull is 12 1/2 feet above the surface of the ocean, you would need to add together 42 3/4 and 12 1/2, to get your answer which is 55 1/4.
42 3/4 + 12 1/2 = 55 1/4
75% of 32 students are interested in Mathematics. How many are not interested in Mathematics ?
Answer:
The answer is 8!
Step-by-step explanation:
75% is 3/4 of 100 so you take 32÷4 and get 8, hope this helps:)
Alternative method:
Percentage of students who are interested in Mathematics = 75%Then, percentage of students who are not interested in Mathematics = (100 - 75)% = 25%Therefore, number of students who are not interested in Mathematics [tex] = 25\% \: \: of \: \: 32 \\ = \frac{25}{100} \times 32 \\ = \frac{1}{4} \times 32 \\ = 1 \times 8 \\ = 8[/tex]Answer:
8
Hope you could get an idea from here.
Doubt clarification - use comment section.
What is the length of the line?
answer choices
A 7
B 10
C 29
D 21
Answer:
[tex]\sqrt{29}[/tex]
Step-by-step explanation:
The line has a horizontal length of 2 units and a vertical length of 5 units
The line is then the hypotenuse h of a right triangle.
Using Pythagoras' identity
h² = 2² + 5² = 4 + 25 = 29 ( take square root of both sides )
h = [tex]\sqrt{29}[/tex]
The length of the line given is √29 units.
Hence, the correct option is C.
Given is line on the cartesian plain we need to calculate its length.
Refer to the figure attached.
The figure can be converted into a right triangle with perpendicular = 5 units and the base = 2 units.
The line asked will act as the hypotenuse, so, to find its length we will use the Pythagorean theorem,
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the perpendicular side of the right triangle is given as 5 units, and the base is given as 2 units.
Let's denote the length of the hypotenuse as 'x'.
According to the Pythagorean theorem, we have:
x = 5² + 2²
Simplifying this equation:
x² = 25 + 4
x² = 29
To find the length of the hypotenuse, we take the square root of both sides:
x = √29
So, the length of the hypotenuse, in this case, is approximately √29 units.
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If f(x)=3x+2 and g(x)=x2−x, find the value. f(x)+1
Answer:
F(x) +1 = 3x+3
Step-by-step explanation:
F(x)+1= 3x+3
PLEASE I AM IN DESPERATE NEED OF HELP
Suppose you know the area of the yard is 7,500 square feet. How can you find the value of a?
—help and it comes with a picture
Answer:
a = 50
Step-by-step explanation:
From the introduction, you know that the area is 3a^2
You also know that it is 7500 square feet. \
So the two must be equal
3a^2 = 7500 Divide by 3
a^2 = 7500/3
a^2 = 2500
The square root of 2500 is 50
sqrt(a^2) = sqrt(2500)
a = 50
Someone please help this is soooooo hard
Step-by-step explanation:
1. 10x-7=5x+3; ⇒ 5x=10; ⇒ x=2. If x=2, then
2. QS=10*2-7=14;
3. SR=5*2+3=13;
4. m(∠PSR)=15*2+42=72°;
5. m(∠PSQ)=180-m∠(PSR)=180-72=108°.
Help??
Trying to find g
1/3(g-3)=3
Answer:
g = 12
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] (g - 3) = 3 ← multiply both sides by 3 to clear the fraction
g - 3 = 9 ( add 3 to both sides )
g = 12
Bro this is so hard
Answer:
c = 50 degrees and d = 30 degrees
Answer:
C = 80 degrees
D = 30 degrees
Step-by-step explanation:
To find the angle of C you have to add the other angles of that triangle. The total angle of a triangle is 180 degrees.
50 + 30 = 80
Subtracted 80 from 180 to get the other missing angle next to angle c. That is 100. A straight line is 180 degrees so you get 80 degrees for angle C.
To find the angle of D you add angle C, which is 80, to the 100 degree angle and get 180. The total degrees for a four-sided shape is 360 degrees. Then you try to figure out the other missing angle next to the 30-degree angle. A straight line is 180 degrees so subtract 30 from 180 to get the value of the missing angle.
180 - 30 = 150
Add the 180 degrees from earlier to 150 and you get 330. Subtract 330 from 360 and you get 30 degrees. Therefore the angle for d is 30 degrees.
3 How is the value of 2 - 3 like the value of 3 - 2? How is it different? -
Answer:
They are not diffrent at all. may look diffrent from the question but lets look a little closer!
Step-by-step explanation:
2-3=1 and 3-2=1 both answers look the same because the equion is Both 3s in 3-2 and 2-3 looks no diffrent. To be honest one is only backwords from the other one! But remeber to think BIG and look at those diffrentses.
What is the answer to: 1a to the power of 349 b to the power of 28 c to the power of 2 d to the power of 82 e to the power of 48 f to the power of 920 g to the power of 40 h to the power of 38 i to the power of 492 j to the power of 23 k to the power of 43 l to the power of 982 m to the power of 48 n to the power of 62=(4/2 x 10 x(the square root of 100)
Answer:
Its 7.908764333
Step-by-step explanation:
Trust me :)
How can you use congruent triangles to prove the statement true?
If you could please help, what is the missing answer?
Thank you to anyone who helps out!
Answer:
48
Step-by-step explanation:
let s be the snowman, g be the girl, and t be the christmas tree
2s+g=24
2t+2ts=132
3t+2g=26
subtract 2 times the first equation from the third one to get
3t-4s=-22
from the second equation we can deduce
2t(1+s)=132
t(1+s)=66
t=66/(1+s)
Substitute:
3(66)/(1+s)-4s=-22
3(66)/(1+s)=4s-22
3(66)=(4s-22)(1+s)
3(66)=-18s+4s^2-22
4s^2-18s-220=0
using the quadratic formula, we get s = 10, s = -5.5.
2(10)+g=24
g=4
2t(1+10)=132
2t=12
t=6
So 2s+t*g= 20+6*4=48
you would get a different solution for the negative s, but since snowmen cannot be negative, 48 is the answe.r
What integer $x$ satisfies $\frac{1}{4}<\frac{x}{7}<\frac{1}{3}$?
If 1/4 < x/7 < 1/3, then
7/4 < x < 7/3
1.75 < x < 2.333…
so that x = 2.
Complete the sentence.
Forty-five percent of 120 is
.
Answer:
54
Step-by-step explanation:
45% * 120 = 54
Sheri is making 4 pounds of mixed nuts. She will use One-third the amount of macadamia nuts as she does almonds. A graph titled Sheri's Mixed Nut Recipe has pounds of macadamia nuts on the x-axis, and pounds of almonds on the y-axis. 2 lines intersect at (1, 3). How many pounds of each nut will she use? 1 pound of macadamia nuts; 3 pounds of almonds 3 pounds of macadamia nuts; 1 pound of almonds 4 pounds of macadamia nuts; no almonds 4 pounds of almonds; no macadamia nuts.
1 pound of macadamia nuts; 3 pounds of almonds of each nut will she use.
Given that,
Sheri is making 4 pounds of mixed nuts.
She will use One-third the number of macadamia nuts as she does almonds.
A graph titled Sheri's mixed nut recipe has pounds of macadamia nuts on the x-axis, and pounds of almonds on the y-axis. 2 lines intersect at (1, 3).
We have to find,
How many pounds of each nut will she use?
According to the question,
Total mixed nuts are 4 pounds,
She will use One-third the number of macadamia nuts as she does almonds.
2 lines intersect at (1, 3).
Therefore,
Sheri's mixed nut recipe has pounds of macadamia nuts on the x-axis,
At x-axis, the point 1 lies.
So, macadamia nuts have 1 pound.
And pounds of almonds on the y-axis,
At y-axis, the point 3 lies.
So, almond nuts have 3 pounds.
Hence, 1 pound of macadamia nuts; 3 pounds of almonds of each nut will she use.
For more details about Graphs refer to the link given below.
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Answer:
A/ the first one
Step-by-step explanation:
Did the edg
5i/x-5i what is the simplest form?
51/x - 5i
this is the answerrrr
A light bulb can be at most 50 watts to be safely used in this light fixture
BRAINLIEST!Blake is the Human Resources manager for a correctional facility. What is one task that Blake might have as part of his job?
A.
confirming appointments for the director of the facility
B.
looking over the costs of new supplies for the facility
C.
mediating a dispute between two employees
D.
organizing the outdoor video surveillance of the facility
Answer:
Organising the outdoor video surveillance
Step-by-step explanation:
See he is a manager.
His work is to take care of all resources of companyVideo surveillance must be used for securityFind the center and radius of the circle x^2+y^2-10x-12y+45=0.
Answer:
The center is (5, -6) with a radius of r
Step-by-step explanation:
First put the equation in Standard Form for a circle:
(x + a)² + (y + b)² = r²
Now, Group the term
x² + y² - 10x - 12y + 45 = 0
x² - 10x + y² - 12y = - 45
Then, The x and y terms must be perfect squares
x² - 10x + 25 + y² - 12y + 36 = - 45 + 25 + 36
add constant both sides we get,
x² - 10x + 25 + y² - 12y + 36 = 16
Now, Simplify
(x - 5)² + (y + 6)² = 16
√(x - 5)² + (y + 6)² = √16
x - 5 + y + 6 = 4
Here, (a,b) = (5, -6) and r² = 16, with r = 4
Thus, The center is (5, -6) with a radius of r
-TheUnknownScientist 72
What happens to the value of the expression 20 + a, a as a increases?
Answer:
With the increase of the value of a ,the value of the expression 20+a will also increase.
Step-by-step explanation:
I NEED HELP PLEASE SHOW WORK ON A PIC
As per question
We shall proceed in graphical way
2x+4y≥8x+2y≥4--(1)And
x-4y<6--(2)Graph attached
can someone help me with this
Answer:
Step-by-step explanation:
i believe X=4, but i could be wrong with the whole thing
Answer:
A. x = 4
B. RQ = 6
C. 48 square units
Step-by-step explanation:
A. 3x - 2 = 10
3x = 12
x = 12/3
B. a^2 + b^2 = c^2
8^2 + b^2 = 10^2
64 + b^2 = 100
b = sqrt (100 - 64
b = 6
C. Area of a triangle = (b*h)/2
b = (2)(6) = 12
Area = (12 * 8)/2 = 48 square units