The correct situation for the given condition are as follows:
C) Both proposed placements will light the same sized area.
F) Dylan's proposed placement will light exactly half of the yard.
What is Area of Triangle?
The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.
The area of a triangle = (base x height) / 2
and,
both lights illuminate the same base and height = (60 x 38) / 2
= 1,140 sq ft
Both Dylan's and Nikki's proposed placement will lit exactly half of the yard.
The yard's total area = 60 x 38 = 2,280 sq ft,
which is twice the area lit by the lights.
Thus, The correct situation for the given condition are as follows:
C) Both proposed placements will light the same sized area.
F) Dylan's proposed placement will light exactly half of the yard.
Learn more about Area of triangle from:
https://brainly.com/question/27683633
#SPJ1
Write the standard equation of the circle with center (−10,−5) that passes through the point (−7,5).
Answer:
(x + 10)^2 + (y - 5)^2 = r^2
please help with math
Answer:
34
Step-by-step explanation:
3*(2*2*2)+10
3*(8)+10
24+10
34
can someone find the radius and center point of x^2+y^2-16x+2y+56=0 (general form)
Answer:
Center is [tex](8,-1)[/tex]
Radius is [tex]3[/tex]
Step-by-step explanation:
To convert from a general form equation to a standard form equation, we must complete the square for each variable to simplify. Make sure to rearrange the equation to complete the square more easily:
[tex]x^2+y^2-16x+2y+56=0\\\\x^2-16x+56+y^2+2y=0\\\\x^2-16x+56(+8)+y^2+2y(+1)=0+8+1\\\\x^2-16x+64+y^2+2y+1=9\\\\(x^2-16x+64)+(y^2+2y+1)=9\\\\(x-8)^2+(y+1)^2=9[/tex]
Since the equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex], our circle will have a center of [tex](h,k)\rightarrow(8,-1)[/tex] and a radius of [tex]r^2=9\rightarrow r=3[/tex].
How and What is the domain of the function
Answer: C
Step-by-step explanation:
Domain is calculated by looking at the x axis. The graph starts at 0 and makes its way to 8, ending there. The first number 0 in the answer is where the domain first started, and the 8 is where it ends.
Answers need to be fractions, if they are not whole numbers. No decimals
y=1/2x−7
Slope of lines parallel to line
Slope of lines perpendicular to line
The Slope of lines parallel to line is 1/2 and the Slope of lines perpendicular to line is -2.
What is the equation of a straight line ?An equation that can be written in the form of y = mx+c
where m is the slope of the line
and c is the intercept on y axis
The equation given in the question is
y=1/2x−7
in this the slope = 1/2
Intercept = -7
For parallel Lines
For a parallel line , the slope of the line is same
and is given by m = 1/2
For a perpendicular line
Slope will be equal to
-1/m
here -1/m = -2
Therefore the slope for perpendicular line is -2.
To know more about Straight Line equation
https://brainly.com/question/959487
#SPJ1
Please answer this question
Answer:
A: Isosceles B: EquilateralC: ScaleneD: Isosceles E: Isosceles F: ScaleneStep-by-step explanation:
We can classify triangles by their sides into three types:
Equilateral: It is when the triangle has all the equal sides.Isosceles: It is when the triangle has only two equal sides.Scalene: It is when none of the sides of a triangle are equal. MissSpanishWrite the equation for g (x)
The equation for g(x) passing through the point (3, 8) and with a slope of 25 is y - 8 = 25(x-3)
Equation of a lineThe equation of a line in point slope form is expressed as:
y - y1 = m(x-x1)
where:
m is the slope(x1, y1) is the point on the slopeIf the function g(x) is parallel to f(x), they will have the same slope. Hence the required slope is25.
Determine the required equation of a line
y - y1 = m(x-x1)
y - 8 = 25(x-3)
Hence the equation for g(x) passing through the point (3, 8) and with a slope of 25 is y - 8 = 25(x-3)
Learn more on equation of a line here: https://brainly.com/question/13763238
#SPJ1
1. In the following exercises, translate into an equation and solve
a. Distance Avril rode her bike a total of 18 miles, from home to the library and then to the beach. The distance from Avril’s house to the library is 7 miles. What is the distance from the library to the beach?
Answer:
11 miles
Step-by-step explanation:
The length of the route is the sum of the lengths of the parts of the route.
__
Let b represent the distance to the beach from the library.
total distance = (home to library) +(library to beach)
18 miles = 7 miles + b
11 miles = b . . . . . . . . . . subtract 7 miles from both sides of the equation
The distance from the library to the beach is 11 miles.
Work out
10.3
% of
853.93
km
Give your answer rounded to 2 DP.
Answer:
87.95
Step-by-step explanation:
853.93 x 10.3/100
853.93/100=8.5393
x10.3 = 87.95km
The ratio of AC to BC is ______
[tex]\cfrac{AC}{BC}\implies \cfrac{\stackrel{AC=3+9}{3~~ + ~~9}}{\underset{BC=9}{9}}\implies \cfrac{\stackrel{4}{~~\begin{matrix} 12 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{\underset{3}{~~\begin{matrix} 9 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \cfrac{4}{3}\implies 4~:~3[/tex]
Alice has a total of 12 dimes and nickels. She has 2 more nickels than dimes. Which equation represents the given problem situation?
A. c + (c + 2) = 12, where c is the number of dimes
B. c + 2c = 12, where c is the number of nickels
C. c + (c + 2) = 12, where c is the number of nickels
D. c + 2c = 12, where c is the number of dimes
2
SEE ANSWERS
Answer:
A. c + (c + 2) = 12
Step-by-step explanation:
Which shows the correct substitution of the values a, b, and c from the equation 1 = -2x + 3x² + 1 into the quadratic
formula?
Quadratic formula: x =
-b± √b²-4ac
2a
Ox==(-2) ± √(-2)² – 4(3)(0)
2(3)
0 x==(-2) ± √(-2)² - 4(3)(2)
X=
0 x==(-
-(-2) ± √(-2)²-4(3)(1)
2 (3)
-3±√√3²-4(-2)(0)
2(-2)
Question 28(Multiple Choice Worth 1 points)
(01.03 MC)
What is the simplified expression for
4.34
35.4-2
O
314
4|3
03⁰00
Answer:
[tex] \boxed{ \bold{\frac{4}{3} }}[/tex]
Step-by-step explanation:
[tex] \frac{ {4}^{ - 3} \: \times \: {3}^{4} \: \times \: {4}^{2} }{ {3}^{5} \: \times \: {4}^{ - 2} } [/tex]
We simplify the algebraic expression.[tex] \frac{ {4}^{ - 3} \: \times \: {4}^{4} }{3} [/tex]
We calculate the product of the denominator:[tex] \boxed{ \bold{\frac{4}{3} }}[/tex]
MissSpanishFind the slope of the line passing through (-8, 10) and (-8, -7).
Slope:-
[tex]\\ \rm\dashrightarrow m=\dfrac{-7-10}{-8+8}[/tex]
[tex]\\ \rm\dashrightarrow m=\dfrac{-17}{0}[/tex]
[tex]\\ \rm\dashrightarrow m=\infty[/tex]
[tex] \frac{y2 - y1}{ x 2 - x1} \\ \frac{ - 7 - 10}{ - 8 + 8} \\ \frac{ - 17}{0} [/tex]
Slope is undefined
show that 12 cos 30 +2tan 60
Answer:
cant draw on this
Step-by-step explanation:
show the problem
Sonya's heart rate was 76 beats per minute.
She ran a mile on her treadmill and checked
her heart rate again. This time, her heart rate
was 133 beats per minute. What was the
percent increase in Sonya's heart rate?
Answer:
75 percent
Step-by-step explanation:
To find percent increase, do (final-initial/initial) * 100.
This would be 133-76/76 * 100, meaning you get a 75 percent increase.
The percent increase is 75 %.
What is Percent increase?The ratio of the increased value to the original value, multiplied by 100, is the percentage increase formula. It is outlined as a percentage. Anything's value will increase if it is valued more, so will its proportion.
Given:
Sonya's heart rate was 76 beats per minute.
After running, heart beat rate= 133 beats per minute.
So, percent increase
= (133- 76)/ 76 x 100
= 0.75 x 100
= 75%
Hence, the percent increase is 75 %.
Learn more about percent increase here:
https://brainly.com/question/13533684
#SPJ2
Can somebody solve this please?
Answer:
220
Step-by-step explanation:
Now, I'm not sure if 220 is correct, but I'll explain my reasoning.
We know three angles of a triangle add up to 180 degrees.
So, the smaller triangle has 70 degrees and a and b variables. By virtue, a + b + 70 = 180.
So, a + b = 110.
Likewise, when you look at the whole triangle, 70 degrees is also one of the angles while c and d are unknown.
So, c + d + 70 = 180.
This means c + d = 110.
So, (a + b ) + (c + d ) =
110 + 110 =
220 degrees.
I hope this helps!
Answer:
110
Step-by-step explanation:
a + b + c + d = 110
Triangle will always equal 180 degrees triangle = 180
180 - 70 = 110
what is 2x3x5x6? havin trouble
If C=m+1C=m+1 and B=m+5,B=m+5, find an expression that equals 2C+3B2C+3B in standard form.
The value of the expression 2C+3B is 5m + 7
How to evaluate the expression?The given parameters are:
C = m + 1
B = m + 5
To evaluate the expression 2C+3B;
We substitute C = m + 1 and B = m + 5
So, we have:
2C+3B = 2 * (m + 1) + 3 * (m + 5)
Expand
2C+3B = 2m + 2 + 3m + 15
Evaluate the like terms
2C+3B = 5m + 7
Hence, the value of the expression 2C+3B is 5m + 7
Read more about expressions at:
https://brainly.com/question/723406
#SPJ1
***
-6
Simplify 21v6 ÷ (-7v-6)
O 0
-3y¹2
-3
12
0 -3
DONE
0 0
Answer:
-3
Step-by-step explanation:
[tex] \frac{ 21y {}^{ - 6} }{ - 7y {}^{ - 6} } \\ - 3y {}^{ - 6 - ( - 6)} \\ - 3y {}^{ - 6 + 6} \\ - 3y {}^{0} \\ - 3(1) \\ - 3[/tex]
please help anyone i need to pass summer school
calculate mpg for w=1000,w=2000;calculate weight when mpg=30
Based on the information above, the car with 1,000 pounds more will only go 1,194 miles, and the one with 2,000 pounds more will only go 1,188 miles.
What does MPG stand for?MPG stands for miles per gallon, and refers to the distance in miles a vehicle travels for each gallon of fuel in its tank.
In general, a car consumes about 1,200 miles per gallon. However, when you add load to it, its fuel consumption is higher because it requires more force to move.
Additionally, some studies state that for every 1,000 pounds of weight added to the car, it will yield 0.5% less. So if the car has 1,000 more pounds, it's not going to go 1,200 miles per gallon, it's going to go 1,194 miles.
On the other hand, if 2,000 pounds of weight were added, the fuel economy would be 1% less, that is, it would travel 1,188 miles per gallon.
Learn more about miles in: https://brainly.com/question/13816350
#SPJ1
Which graph describes the relation {(5, 1), (1, –2), (0, –1), (–3, 2)}?
The graph represents a relation provided R = {(5, 1), (1, –2), (0, –1), (–3, 2)}
What is an ordered double?It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).
We have a relation:
R = {(5, 1), (1, –2), (0, –1), (–3, 2)}
We can represent it on a coordinate plane as (x, y)
After plotting on a coordinate plane we will get a graph of a relation
R = {(5, 1), (1, –2), (0, –1), (–3, 2)}
Thus, the graph represents a relation provided R = {(5, 1), (1, –2), (0, –1), (–3, 2)}
Learn more about the ordered double here:
brainly.com/question/10757890
#SPJ1
10 less than 3 times a number is 25 what is that number
Answer:
-5
Step-by-step explanation:
10 - 3N = 25
Subtract 10 from both sides
-3N=15
Divide both sides by -3
N = -5
show work for x<4 and x<-1
Answer:
The answer will be 4-1pleaseWhat is the area of a regular pentagon with a side of 10 in.? round the answer to the nearest
tenth.
96.3in^2
172.0in^2
344.1in^2
192.6in^2
dont respond with a link!!!!!!
The area of the regular pentagon given a side of 10 in is 172.0 in².
What is the area?A pentagon is an object that is made up of five sides. The sum of the internal angles of a pentagon is 540 degrees.
Area of a pentagon = 1/4√[tex]\sqrt{5 ( 5 + 2 \sqrt{5} ) }[/tex] a²
Where a = side = 10
A = 1/4√[tex]\sqrt{5 ( 5 + 2 \sqrt{5} ) }[/tex] 10²
A = 172.02 in²
To learn more about pentagons, please check: https://brainly.com/question/17054992
#SPJ1
A fish tank can hold 190 liters of water. The tank has 154 liters of water in it already.
How many more liters of water can the fish tank hold?
Enter your answer in the box.
Answer:
it is 36 liters
Step-by-step explanation:
think of it like your subtracting 154 from 190 if you subtract 100 from 190 it will be 90 and if you subtract 50 from 90 it will be 40 so if you subtract 4 from 40 it will be 36 your answer.
Calculate the area of the following square if a=17
What ratio of sides from AADE defines tan 19° ?
Answer:
[tex]\large \sf \boxed{ \sf \dfrac{DE}{AD} }[/tex]
Explanation:
[tex]\sf tan(x) = \dfrac{opposite}{adjacent}[/tex]
Here given angle: 19°
Opposite to this angle: DE
Adjacent to this angle: AD
Hypotenuse to this angle: EA
So ratio of sides that defines tan(19) = opposite/adjacent = DE/AD
Write a definition for alternate interior angles.
Answer:
Alternate interior angles are the angles formed on the opposite sides of the transversal. In other words, when two parallel lines are intersected by a transversal, eight angles are formed.
Step-by-step explanation:
I hope this checks out