Answer:
Given Below
Step-by-step explanation:
v = u+at
u+at = v
at = v-u
t = v-u/a
Hope this helps
Answer:
D. a = (v – u)/t
Step-by-step explanation:
just did it on e2020
Austin runs 3.6 km and makes 40 rounds in his circle shaped gym. What is the diameter of gym? (π=3)
3.6 km / 40 rounds = 0.09 km per round.
0.09 km x 1000 m/km = 90 meters
The circumference of the circle is 90 meters
Using 3 as pi as told, divide the circumference by 3 to get the diameter:
Diameter = 90 meters/ 3 = 30 meters
Write 5.1 x 10 to the power of one as an ordinary number.
Answer:
51
Step-by-step explanation:
Multiplying 5.1 by 10^1 shifts the decimal point 1 place to the right. We get 51.
Calculate the amount of money you'll have at the end of the indicated time period.
You invest $1000 in an account that pays simple interest of 6% for 30 years.
The amount of money you'll have at the end of 30 years is $
Step-by-step explanation:
Simple Interest = PTR/100
=1000* 30* 6/100
=1800.
Amount= Principal + Interest
= 1000+1800
= $2800
The amount of money that has at the of 30 years is $2800.
What is simple interest?Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.
Unlike compound interest, which adds the interest from the principal of prior years to determine the interest of the following year, the principal amount in simple interest remains constant.
As per the given,
Principle amount P = $1000
Rate of interest R = 6%
Time span T = 30 years.
Total amount = Principle amount + Interest
Total amount = P + (PRT)/100
Total amount = $1000 + (1000 x 6 x 30)/100
⇒ $2800
Hence "The amount of money that has at the of 30 years is $2800".
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the length of a rectangle exceeds its width by 12 inches, and the area is 85 square inches. what are the length and width of the rectangle?
Answer:l=17, w=5
Step-by-step explanation:
95 students choose to attend one of three after school activities: footbal,l tennis or running. There are 28 boys. 38 students choose football, of which 26 are girls. 23 students choose tennis. 29 girls choose running. A student is selected at random. What is the probability this student choose running? Give your answer in its simplest form.
Answer:
34/95
Step-by-step explanation:
Since 38 students choose football and 23 students chose tennis, then 95 - 38 - 23 = 34 students chose running. The probability is 34 / 95.
I don’t know how to solve help pls
Answer:
The measure of angle a is 43 degrees.
Step-by-step explanation:
Angle P is congruent to Angle R. A triangle's angles add up to 180 degrees. 47*2=94. 180-94=86 degrees. 86/2=43 degrees.
Answer: 43°
Step-by-step explanation:
The degree of a triangle adds up to 180. We are given an angle of 47 and there is a right angle of 90
We now have 90 + 47 + a = 180
137 + a = 180
a = 43
A hot-air balloon is flying at an altitude of 2999 feet. If the angle of depression from the pilot in the balloon to a house on the ground below is 34degrees, how far is the house from the pilot?
Answer:
5668.3
Step-by-step explanation:
The problem can be represented as a right angled triangle as shown below.
The angle of depression is equivalent to the angle inside the triangle (alternate angles) and it is 34°.
The altitude of the balloon is 2999 feet. (opposite)
Using trigonometric function, SOHCAHTOA, we can solve this:
[tex]sin(34) = \frac{opposite}{hypotenuse}\\ \\sin(34) = \frac{altitude}{distance}\\\\sin(34) = \frac{2999}{distance}\\\\distance = \frac{2999}{sin34}\\\\distance = 5668.3 feet[/tex]
The pilot is 5668.3 feet far away from the house.
(8x - 4)(7y + 2) multiplying binomials
Step-by-step explanation:
8x(7y+2)-4(7y+2)
=56xy+16x-28y-8
Answer:
56xy+16x-28y-8
Step-by-step explanation:
you have to use the FOIL method to solve this is problem which is
F-First
O-Outer
I-Inner
F-Last
A line has a slope of Negative three-fifths. Which ordered pairs could be points on a parallel line? Select two options.
Answe(–8, 8) and (2, 2) & (–2, 1) and (3, –2)
Step-by-step explanation:
Find the value of the unknown in the equation 4p + 2 = 8
a) p = 0
b) p = 2.3
c) p = 1.5
d) p = 4
Answer:
Option C
Step-by-step explanation:
=> 4p + 2 = 8
Subtracting 2 to both sides
=> 4p = 8-2
=> 4p = 6
Dividing both sides by 4
=> p = 1.5
Answer:
The answer is C.
Step-by-step explanation:
First, you have to subtract 2 to both sides :
[tex]4p + 2 = 8[/tex]
[tex]4p + 2 - 2 = 8 - 2[/tex]
[tex]4p = 6[/tex]
Next, you have to divide it by 4 :
[tex]4p = 6[/tex]
[tex]p = 6 \div 4[/tex]
[tex]p = 3 \div 2[/tex]
[tex]p = 1.5[/tex]
Practice converting units and comparing quantities.
Assignment
The maximum height of a vehicle that can safely pass under a bridge is 12 feet 5 inches. A truck measures 162
inches in height. Which best explains whether or not the truck can pass safely under the bridge?
The truck can pass safely under the bridge. The truck is 13 inches shorter than the maximum height.
The truck cannot pass safely under the bridge. The truck is 13 inches taller than the maximum height.
The truck can pass safely under the bridge. The truck is 12 inches shorter than the maximum height.
The truck cannot pass safely under the bridge. The truck is 12 inches taller than the maximum height
Answer:
Converting Units and Comparing Quantities:
The truck cannot pass safely under the bridge. The truck is 13 inches taller than the maximum height.
Step-by-step explanation:
Maximum height of vehicle to pass bridge, (A) = 12 feet 5 inches = (12 x 12) + 5 = 144 + 5 = 149 inches
A Truck's height (B) = 162 inches
The difference between height of Truck and maximum height of allowed vehicle = (A - B) = 13 inches (162 - 149)
Therefore, the truck is higher than the bridge by 13 inches, and cannot pass the bridge.
For the truck to pass the bridge, it must be below 149 inches.
Given the following diagram, find the missing measure. Given: PM MO m 2 = 30°, m P = 30 120 60 90
Answer:
60
Step-by-step explanation:
The sum of interior angles in a triangle is 180
180-90-30=60
Prove that an equilateral triangle can be constructed on any given line segment
Step-by-step explanation:
Answer is in the photo with diagram
Please HELP!!!!!!!!!!!!!!!!!
Answer:
I think it might be the second one or maybe the first one
Step-by-step explanation:
Im not quite sure so dont blame me if its wrong
Work out the surface area of this cylinder
8.2 cm
17.5 cm
Answer: 1324.12 sq. cm.
Step-by-step explanation:
A=2πrh+2πr2
A = 2π x 8.2 x 17.5 + 2π x 8.2^2
A = 2π x 143.50 + 2π x 67.24
A= 1324.12
Answer:
SA = 1324.1 cm²
Step-by-step explanation:
Surface Area of Cylinder = [tex]2\pi rh+2\pi r^2[/tex]
Where r = 8.2 cm, h = 17.5 cm
=> SA = [tex]2(3.14)(8.2)(17.5)+2(3.14)(8.2)^2[/tex]
=> SA = [tex]901.6+2(3.14)(67.24)[/tex]
=> SA = 901.6 + 422.5
=> SA = 1324.1 cm²
Who can help me get the answer??
Answer: 13,5 (first one)
Step-by-step explanation:According to given table for Relation g, we have following order pairs
(2,2)
(3,5)
(4,9)
(5,13)
Note: Each of first value in coordinate is x and each of the second value in the coordinate is y value.
We need to check the option, which gives an order pair of inverse relation of g.
In order to find inverse relation of a coordinate, we need to switch x and y values of a coordinate.
x value goes in y place and y value goes in x place.
So, the order pairs of inverse relation of given relation of g can be written as
(2,2) --> (2,2)
(3,5) --> (5,3)
(4,9) --> (9,4)
(5,13) --> (13,5).
In the given options, we have first order pair (13,5), which is the inverse of order pair (5,13).
Therefore, correct option is first option (13,5)
Triangle ABC has one side equal to 10 inches and one side equal to 7 inches. What could be the area of the triangle? I. 25 square inches II. 35 square inches III. 40 square inches
Answer: 35 square inches
Step-by-step explanation:
Area of triangle = (l * w) / 2
Multiply
10 * 7 = 70
Divide by 2
70 / 2 = 35
Answer:
35 square inches
Step-by-step explanation:
area=base times height divided by one-half
7x10=70
70/2=35
a. 1
b. 0
c. Infinitely many
d. Cannot be determined
Answer:
0
Step-by-step explanation:
The lines are parallel, they will never intersect
Answer:
no solution ( 0)
Step-by-step explanation:
If the lines have the same slope by different y intercepts, the lines are parallel
They will never intersect, so they have no solution
Amber received an end of year bonus of $2500 at work, and went on a shopping spree. She spent $125 at the department store, $345 at the home furnishing store, and $21 at the card shop. How much of her bonus does Amber have left? A. $491 B. $2,009 C. $2,191 D. $2,991
Answer: $2,009
Step-by-step explanation:
345 + 125 = 470
470 + 21 = 491
2,500 - 491 = 2,009
Answer:
The answer should be B. $2,009
Step-by-step explanation:
Just add the total amount that she spent and subtract it by the total, which is $2500.
15/4 divided by -5/8 equals?
Answer:
-6
Step-by-step explanation:
15/4 ÷ -5/8
Copy dot flip
15/4 * -8/5
Rewrite
15/5 * -8/4
3 * -2
-6
Answer:
-6
Step 1) Do keep change flip if your beginner
After you do that
you get 15/4x-8/5 multiply and simply get -6
. If x tan 45° sin 30° = cos 30° tan 30°, then x is equal
Answer:
x = [tex]\frac{\sqrt{3} }{3}[/tex]
Step-by-step explanation:
You can either use the unit circle to find your values and then solve for x or plug it into the calc directly to find your answer (don't forget to put your mode on deg!). It is much faster to plug it into your calc. Simply just divide both sides by tan45°cos30° and you should isolate x and find your answer.
A large amount of peanuts was divided equally into 6 small bags. The total number of peanuts, p, was 342 which statement can be used to write an expression and then find the number of peanuts that ended up in each bag
Answer:
342/6 = 57
Step-by-step explanation:
Just basic division
what is the solution to the equation 13 3/4 + x equals 7 1 / 4
Answer:
x=-6.5
Step-by-step explanation:
[tex]7\frac{1}{4} - 13\frac{3}{4}=-6\frac{1}{2}=-6.5[/tex]
I NEED HELP ASAP Which equation is equivalent to: −10r−6=115
A. 10r=−115+6
B. −10r=115+6
C. −10r=115−6
D. 10r=115−6
The equation is equivalent to −10r−6 = 115 will be B. -10r = 115 + 6.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The equation is equivalent to −10r−6 = 115
Add 6 on both side;
−10r−6 = 115
−10r−6 + 6 = 115 + 6
-10r = 115 + 6
Hence, the equation is equivalent to −10r−6 = 115 will be B. -10r = 115 + 6.
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The expression 4x + 5 can be used to find the cost of
ordering 4 tickets online to a play at a local theater.
What is the coefficient in the expression?
OA) 4x + 5
OB) 4
OC) x + 5
OD) 5
Answer:
ob) 4
Step-by-step explanation:
th coefficient is the number that multiplies a variable
Answer:
Yes,the coefficient is 4
Step-by-step explanation:
Each term in the sequence below is 9 more than 1/3 the previous term. What is the value of y-x?
81, 36, x, y,...
Plz explain
Answer:
y - x = - 5
Step-by-step explanation:
Applying the rule gives
x = [tex]\frac{1}{3}[/tex] × 36 + 9 = 12 + 9 = 21
y = [tex]\frac{1}{3}[/tex] × 21 + 9 = 7 + 9 = 16
Thus
y - x = 16 - 21 = - 5
solve 4x=20 is the question. i need to find x
Answer:
5
Step-by-step explanation:
20/4=5
Answer: x=5
Step-by-step explanation:
4x=20
divide by 4 on each side to cancel it out
x=5
Find the 8th term of geometric sequence 2,-10,50...
Answer:
- 156250
Step-by-step explanation:
Find the ratio of the geometric sequence.
-10/2 = -5
50/-10 = -5
The common ratio is -5.
Apply the formula.
an = ar^(n-1)
Where a is the first term and r is the ratio.
a8 = 2(-5)^(8-1)
a8 = 2(-5)^7
a8 = 2(-71825)
a8 = -156250
If x = 2/9 and y = 3/7 work out the value of x + y
Answer:
[tex]\boxed{\sf \dfrac{41}{63}}[/tex]
Step-by-step explanation:
hi, it means that we have to compute
[tex]\dfrac{2}{9}+\dfrac{3}{7}=\dfrac{7*2+3*9}{7*9}=\dfrac{14+27}{7*9}=\dfrac{41}{63}[/tex]
Answer:
[tex]\frac{41}{63}[/tex]
Step-by-step explanation:
=> x+y
Putting x = [tex]\frac{2}{9}[/tex] ; y = [tex]\frac{3}{7}[/tex]
=> [tex]\frac{2}{9} +\frac{3}{7}[/tex]
LCM = 63
This will make the expression
=> [tex]\frac{14+27}{63}[/tex]
=> [tex]\frac{41}{63}[/tex]
This is the required factorized form
Can you help me with this question
Answer:
-1.67
Step-by-step explanation: