The length of the fencing that the city needs to surround the park will be 380.50 yards.
What is the area and perimeter of the rectangle?Assume L is the length and W is the width. Then the area is given as,
A = L × W
And the perimeter is given as,
P = 2(L + W)
The city of vine View is building a new rectangular park for the townspeople. The park will have an area of 8,925 square yards if the width of the park is to be 84 yards. Then the length of the rectangular park is calculated as,
8925 = L × 84
L = 106.25 years
Then the length of the fencing that the city needs to surround the park will be given as,
P = 2(106.25 + 84)
P = 2 × 190.25
P = 380.5 yards
The length of the fencing that the city needs to surround the park will be 380.50 yards.
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2) The function f(t) - 5t2 + 200 + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?
Answer:
8 seconds
Step-by-step explanation:
if you graph the function, the difference between the zeros is 8
I don’t understand and also any fake answers will be reported
The first graph shows the correct location of the points.
Given right triangle ABC with altitude BD drawn to hypotenuse
AC. If AC = 27 and DC = 3, what is the length of BC?
27
D
3
B
X
Answer:
x=9
Step-by-step explanation:
Answer: 9
Step-by-step explanation:
i got it right
6 = x +2y solve for y
7 1/2 / (4 1/2 - 5 1/8) =
Answer:
Negative twelve aka -12
Answer:
-12
Step-by-step explanation:
15/2 ÷ (9/2 - 41/8)
= 15/2 ÷ (36/8 - 41/8)
= 15/2 ÷ (-5/8)
= 15/2 × (-8/5)
= -120/10 or -12
Please help don't ignore
Determine if the number below is written in correct scientific notation, why or why not.
[tex]56.987 \times {10}^{5} [/tex]
No links
Don't answer if your not going to help
Answer:
a×10⁰ where (a the number) should always be less than 10
hope it helps :)
87.5 - 23.4 *
O 64.1
O 110.9
054.1
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer....
1st Option : 64.1Hope it helps!
Brainliest pls!
Follow me! ;)
A pendulum of length 1m and period 2.01s is placed at the top of Mount Everest
having an altitude of 8849m. Calculate the value of ‘g’ at that point.
Answer: A pendulum of length 1m and period 2.01s is placed at the top of Mount Everest having an altitude of 8849m. Calculate the value of 'g' at that point.
The period of this pendulum can be solved using the formula shown in the picture below. T is the period in seconds; L is the length in meters and g is the acceleration due to gravity which is equal to 9.81 m/s²near the equator.
T = 2 × π × (square root of 1.00 m / 9.81 m/s²)
T = 2 * 3.1416 * (square root of 0.101936799)
T = 6.2832 * 0.319275428
T = 2.00 seconds
The period of this pendulum correct to 3 significant figures is 2.00 seconds.
The frequency of this pendulum is solved by the formula f = 1/T
f = 1/2.00 seconds
f = 0.500 hertz
Answer: 9.76 m/s^2
Step-by-step explanation:
What is the theoretical probability that an even number will be rolled on a number cube?
Answer:
out of 36 rolls, 15 were positive. 15/36 simplified is 5/12
Answer:
15/36 is the probability there i believe i might be wrong
Step-by-step explanation:
What is the perimeter of a square with an area of 256
cm2?
a. 16 cm
b. 32 cm
C. 64 cm
d. 128 cm
Answer:
C
Step-by-step explanation:
Since we know that squares have all equal sides the area of a square is just a side². So, we would square root 256 in order to find one side. And we know that there are 4 sides of a square so 16+16+16+16= 64. so the answer is C
Given that AB is a line segment and the angle
y
= 67°, work out the value of the angle marked
x
Answer:
x = 113°
Step-by-step explanation:
AB is a line segment and hence it is a straight line which means it is a straight angle, so it is 180° .
y = 67°
x = ?
So, x + y = AB
=> x + 67° = 180°
=> x = 180° - 67°
=> x = 113°
Therefore, x = 113°
Hope it helps :)
6(u+3) Use the distributive property to remove the parentheses 6(u+3
Answer:
6u+18
Step-by-step explanation:
6*u=6u and 6*3=18
Central Park in New York City is rectangular with a length of 2.5 miles and a width of 0.5 mile. During an afternoon, its population density is about 15 people per acre. Find the number of people in the park that afternoon. One acre is equal to 1640 square mile.
On solving the provided question, we can say that Surface Area of central park = 2.5 × 0.5 = 1.25 square mile
what is surface area ?An indication of the overall space occupied by an object's surface is its surface area. A three-dimensional shape's surface area is the total amount of space that surrounds it. A three-dimensional shape's entire surface area is known as its surface area. The surface area of a cuboid with six rectangular faces may be calculated by adding the areas of each face. As an alternative, you may use the formula below and name the box's dimensions as follows: Surface (SA) = 2lh + 2lw + 2hw. Surface area is a measurement of the entire amount of space filled by a three-dimensional shape's surface (a three-dimensional shape is a shape that has height, width, and depth).
Surface Area of central park = 2.5 × 0.5 = 1.25 square mile
1 acre = 1/640 square mile
1.25 square mile = 1.25 ÷ 1/640 = 800 acre
Number of people in the park = 800 ÷ 15 = 53.3 ≈ 53 people
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PLEASE HELP I HAVE NO CLUE WHAT IM DOING. Parents finna ground me if I don't do this tonight.
Answer:
First find x and y at given parameters:
x = (v₀cosθ)t = (123 cos60°)t = 61.5ty = h + (v₀sinθ)t - 16t² = 0 + (123 sin 60°)t - 16t² = 106.52t - 16t²Maximum height is at vertex. Time is:
t = -106.52/-32 = 3.3 secondsMaximum height is:
y = 106.52*3.3 - 16(3.3)² = 177.3 ftHorizontal distance:
x = 61.5*3.3 = 203 feetTime to hit the ground:
106.52t - 16t² = 016t = 106.52 (t = 0 is discounted)t = 106.52/16t = 6.7 secondsIn a survey of 2000 people who owned a certain type of car, 1200 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
The percentage of people who are satisfied with the car are 60%.
What is percentage?In mathematics →
a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".Given is that in a survey of 2000 people who owned a certain type of car, 1200 said they would buy that type of car again.
The percentage of people who are satisfied with the car are -
{x}% = (1200/2000) x 100
{x}% = (12/20) x 100
{x}% = 12 x 5
{x}% = 60
Therefore, the percentage of people who are satisfied with the car are 60%.
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What is sec 0 when tan 0 = V3? Đ. (1, 0) sec 0 = [?]
Answer:
secθ = - 2
Step-by-step explanation:
Using the identity
sec²θ = 1 + tan²θ
= 1 + ([tex]\sqrt{3}[/tex] )² = 1 + 3 = 4 ( take the square root of both sides )
secθ = ± [tex]\sqrt{4}[/tex] = ± 2
Since secθ < 0 in the third quadrant , then
secθ = - 2
What will be the output of 7 by 2?
The resultant output of the given question is 7 by 2 is 14.
This is because 7 multiplied by 2 is equal to 14
When you multiply two numbers, the result is the product of the two numbers. In this case, 7 multiplied by 2 is equal to 14.
Mathematicians use the process of multiplication to calculate the product of two or more given numbers. It is a fundamental mathematical operation in maths that is frequently utilised in everyday life. When we need to combine groups of similar sizes or values , we utilise multiplication.
Hence the correct answer to the given question is 14 .
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Consider the line =−−8x6y1.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answer:
Below
Step-by-step explanation:
Well I can't really see the equation but I can tell you how to do it.
Parallel slopes are the same slope as the equation.
For example, y = mx + b
The slope of a line parallel to it is m
Perpendicular slopes are the opposite reciprocal as the equation.
For example, y = mx + b
The slope of a line perpendicular to it is[tex]-\frac{1}{m}[/tex]
Answer:
parallel: -8
perp: +1/8
Step-by-step explanation:
parallel lines have the same slopes
perp lines have opposite reciprocal slopes
Are the two triangles similar? Why or why not?
Answer:
yes
Step-by-step explanation:
cause they are both triangles duhhhh
Answer:
yes bc they both make a 90* TURN
If (3, 7) and (7, −3) are the endpoints of the segment, find the equation of the perpendicular bisector of .
Answer:
[tex]y = \frac{2}{5}x[/tex]
Step-by-step explanation:
Concepts⭐Perpendicular bisector of a segment
another line or segment that splits the segment in half and forms 90 degree anglesthe perpendicular bisector cuts through the midpoint of the segmentthe perpendicular has a slope that is the opposite reciprocal of the segment⭐Midpoint formula
[tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex][tex](x_1,y_1)[/tex] is one coordinate on the line[tex](x_2,y_2)[/tex] is another coordinate on the line⭐Point-slope form
[tex]y-y_1 = m(x-x_1)[/tex]m is the slope[tex](x_1,y_1)[/tex] is a coordinate on the linea way to write the equation of a line⭐Slope
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex][tex](x_1,y_1)[/tex] is a coordinate[tex](x_2, y_2)[/tex] is another coordinate⭐Slope-intercept form
[tex]y = mx + b[/tex]m is the slopeb is the y-intercept (the y-value for when x=0)StrategyFind the midpoint of the given segmentFind the slope of the given segmentWrite the equation of the bisector equation in point-slope formSubstitute the opposite-reciprocal of the given segment's slope into the bisector equationSubstitute the midpoint of the given segment into the bisector equationExpand & simplify the bisector equation to convert it into slope-intercept formWorking1. Find the midpoint of the given segment
[tex]midpoint = (\frac{(x_1+x+2)}{2}, \frac{(y_1+y_2)}{2})[/tex]
[tex](x_1,y_1)[/tex] = (3,7)
[tex](x_2,y_2)[/tex] = (7,-3)
∴ midpoint [tex](\frac{3+7}{2}, \frac{7+(-3)}{2})\\= (\frac{10}{2}, \frac{4}{2})\\= (5,2)[/tex]
2. Find the slope of the given segment
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
[tex](x_1,y_1)[/tex] = (3,7)
[tex](x_2,y_2)[/tex] = (7,-3)
∴ slope [tex]m = \frac{-3-7}{7-3}\\= \frac{-10}{4}\\= \frac{-5}{2}[/tex]
3. Write the equation of the bisector equation in point-slope form
[tex]y - y_1 = m(x-x_1)[/tex]
4. Substitute the opposite-reciprocal of the given segment's slope into the bisector equation
The slope of the given segment is -5/2.
Therefore, the opposite-reciprocal of the given segment's slope is 2/5.
[tex]y - y_1 = \frac{2}{5}(x-x_1)[/tex]
5. Substitute the midpoint of the given segment into the bisector equation
midpoint = (5, 2)
[tex]y -2 = \frac{2}{5}(x-5)[/tex]
6. Expand & simplify the bisector equation to convert it into slope-intercept form
We need to convert [tex]y -2 = \frac{2}{5}(x-5)[/tex] into [tex]y = mx + b[/tex] form.
[tex]y -2 = \frac{2}{5}x - \frac{2 * -5}{5}[/tex] . . . . . . . distribute the 2/5 into the parentheses
[tex]y -2 = \frac{2}{5}x - 2[/tex] . . . . . . . compute
[tex]y = \frac{2}{5}x[/tex] . . . . . . add 2 to the LHS and RHS to isolate y
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PLEASE I NEED THIS!! Which quadrilateral(s) have the same attributes as a rhombus
Answer:
The correct answer is square and parallelogram
Explanation:
If you turn the rhombus around it will turn into a squarechoose sss, sas, or neither to compare these two triangles
Answer:
SSS
Step-by-step explanation:
We have three pairs of corresponding, congruent sides. Therefore, the SSS Postulate can be used to prove the two triangles congruent.
Of the last 20 balloons sold at a party store, 2 were red. What is the experimental probability that the next balloon sold will be red? Write your answer as a fraction or whole number.
I dont know sorry 2/4 or 18
Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Given:
The given quadratic equation is:
[tex]12a^2+9a+7=0[/tex]
To find:
The solution for the given quadratic equation in simplest form by using the quadratic formula.
Solution:
Consider a quadratic equation is defined as [tex]ax^2+bx+c=0[/tex], then the quadratic formula is:
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
The given quadratic equation is:
[tex]12a^2+9a+7=0[/tex]
We have, [tex]a=12,b=9,c=7[/tex]. Using the quadratic formula, we get
[tex]x=\dfrac{-(9)\pm \sqrt{(9)^2-4(12)(7)}}{2(12)}[/tex]
[tex]x=\dfrac{-9\pm \sqrt{81-336}}{24}[/tex]
[tex]x=\dfrac{-9\pm \sqrt{-255}}{24}[/tex]
[tex]x=\dfrac{-9\pm i\sqrt{255}}{24}[/tex] [tex][\because \sqrt{-a}=i\sqrt{a}][/tex]
The solutions of the given equations are [tex]x=\dfrac{-9-i\sqrt{255}}{24}[/tex] and [tex]x=\dfrac{-9+i\sqrt{255}}{24}[/tex].
Hence, the correct option is B.
solve -2 ( x+2)=-12 help me plsssssssssssssssss
Answer:
x = 4
Step-by-step explanation:
-2 ( x+2)=-12
-2x - 4 = -12
-2x = -8
x = 4
What is the 2 step rule in math?
The Two steps equation in mathematics are the equations that can be solved within exactly two steps.
What is a Two Step Equation ?
The Two Step Equation are the algebraic problems that just take two steps to solve. It is a linear equation in one variable.
When solving the two step equation, we have to perform operation on both sides of the equation .
For Example : Solve [tex]2x+6=12[/tex] ;
Step1 : we Subtract -6 from both sides to isolate variable x.
⇒ [tex]2x + 6 - 6 = 12 - 6[/tex]
⇒ [tex]2x = 6[/tex]
Step2 : We Divide both the sides of equation by 2 and solve for x.
⇒ [tex]\frac{2x}{2} =\frac{6}{2}[/tex]
⇒ [tex]x = 3[/tex] ;
Therefore , the equation is solved in two steps .
The given question is incomplete , the complete question is
What is the two step equation in math ?
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Is the following graph proportional or non proportional?
PLS HELP:((
Answer:
Proportional
Step-by-step explanation:
Proportional, because the graph goes through (0, 0). If the line crossed the y-axis elsewhere, the function would NOT be proportional.
PLEASE HELP!!! WILL GIVES BRAINIEST!! PLEASE SHOW YOUR WORK!!
Answer:
0.0558
Step-by-step explanation:
3% is out of hundred so we multiply
3%×1.86=0.0558
Checking:
0.0558÷1.86=0.03
0.03=3%
which choice is a correct congruence statement for the triangles?
The reason why is because the order is important when it comes to congruent statements. I'm referring to the order of the letters of ACB and CAD.
Each answer choice has "ACB" in that exact order shown on the left hand side of each congruent statement. We have "A" listed first, then "C" next. In short, segment AC is the first thing mentioned of ACB. This means that we need to list out segment AC as the first thing for the other triangle as well, in order to have a match. Segment AC is the same as segment CA, which is the first segment mentioned in triangle CAD. That's why choice 3 is the answer.
Note how something like triangle CDA won't work since segment CD is listed first, which doesn't pair up with segment AC. This allows us to rule out the first answer choice. Choices 2 and 4 can be eliminated for similar reasons.
Put another way: let's assume choice 1 was the answer. That would mean that AC = CD as they are the first pair of letters of ACB and CDA respectively. But the diagram shows that AC = CD is not true; otherwise, the segments would have similar tickmarks to show they are the same length. This is an alternative way to see why choices 1, 2, and 4 can be crossed off the list.
if you Decrease £200 by 12.5% what do you get?
Answer:
175
Step-by-step explanation:
Find how much is left by multiplying 200 by 0.875, since this will give you the remaining 87.5%:
200(0.875)
= 175
So, the answer is 175.