Answer:
£32.76
Step-by-step explanation:
21/500=0.042
780x0.042 = 32.76
A ladder leans against a building. If the ladder reaches 18 feet up the wall and contacts the ground 5 feet from the building, what is the angle formed between the top of the ladder and the building?
Answer:
I think it is 15 Tan^-1 (5÷18)
1. Write the equation that models the height of the roller coaster. Start by writing the equation of the circle. (Recall that the general form of a circle with the center at the origin is x2 + y2 = r2. (10 points) Now solve this equation for y. Remember the roller coaster is above ground, so you are only interested in the positive root. (10 points)
Answer:
a.)x² + y² = 900
b.)y = √900 - x²
Step-by-step explanation:
P.S - The exact equation is as follows :
As given,
The shape of the roller coaster is a half of a circle. Center the circle at the origin and assume the highest point on this leg of the roller coaster is 30 feet above the ground.
a.)
Equation of circle be x² + y² = r²
As given , leg of the roller coaster is 30 feet above the ground.
⇒ r = 30
⇒x² + y² = 30²
⇒x² + y² = 900
∴ we get
Equation of height of Roller coaster - x² + y² = 900
b.)
As we have, x² + y² = 900
⇒y² = 900 - x²
⇒y = √900 - x²
The equation that models the height of the roller coaster is [tex]y = \sqrt{900 -x^2[/tex]
The general equation of a circle is:
[tex]x^2 + y^2 = r^2[/tex]
From the complete question, the radius of the circle is 30 units.
This means that:
r = 30
So, we have:
[tex]x^2 + y^2 = 30^2[/tex]
Express 30^2 as 900
[tex]x^2 + y^2 = 900[/tex]
Subtract x^2 from both sides
[tex]y^2 = 900 -x^2[/tex]
Take square roots of both sides
[tex]y = \pm \sqrt{900 -x^2[/tex]
Remove the negative root
This is so because the roller coaster is above the ground, and the height will be positive.
So, we have:
[tex]y = \sqrt{900 -x^2[/tex]
Hence, the required equation is [tex]y = \sqrt{900 -x^2[/tex]
Read more about equations of circle at:
https://brainly.com/question/10244007
Choose the correct inequality symbol for the following statement.
-4 - (-2) _____ -6
options:
>
<
=
The Richter scale magnitude reading m is given by m=log10x , where x represents the amplitude of the seismic wave causing ground motion. Determine the reading of an earthquake that is 10 times less intense than an earthquake that measures 4.5 on the Richter scale.
Answer: The reading would be 5.5 on the Richter scale.
Step-by-step explanation:
The intensity of an earthquake that measures 4.5 on the Ritcher scale can be found by solving:
4.5 = log₁₀(x)
for x.
remember that:
logₐ(x) = ln(x)/ln(a)
Then we can rewrite our equation as:
4.5 = ln(x)/ln(10)
4.5*ln(10) = ln(x)
we also know that:
ln(exp(x)) = exp(ln(x)) = x
Then we can apply the exponential equation to both sides to get:
exp( 4.5*ln(10)) = exp( ln(x) ) = x
exp( 4.5*ln(10)) = x
x = 31,622.8
Now, if we have an intensity 10 times larger than this, we will have:
x = 10*31,622.8 = 316,228
The reading on the Richter scale will be:
m = Log₁₀(316,228) = 5.5
Hey all pls help it is urgent
Answer:
Exact Form:
32/5
Decimal Form:
6.4
Mixed Number Form:
6 2/5
Step-by-step explanation:
your gonna wanna if possible cancel the common factors.
Tori bought 5 bricks. Altogether, the bricks weighed 58.35 pounds. How much did each brick weigh?
Answer:
6433333356789
Step-by-step explanation:
Answer:
the poounds is of number
Step-by-step explanation:
welcome to branly
what is 18.75 rounded two decimals places
The answer would be 18.8
What is the solution to the equation −4(2y − 4) − 4y = 4? (put number answer only)
Answer:
y=1
Step-by-step explanation:
Let's solve your equation step by step.
Step 1: Simplify both sides of the equation.
−4(2y−4)−4y=4
(−4)(2y)+(−4)(−4)+−4y=4(Distribute)
−8y+16+−4y=4
(−8y+−4y)+(16)=4(Combine Like Terms)
−12y+16=4
−12y+16=4
Step 2: Subtract 16 from both sides.
−12y+16−16=4−16
−12y=−12
Step 3: Divide both sides by -12.
y=1
can someone please help me!
Answer:
60
Step-by-step explanation:
what is the difference between associative property,communitive property,and distributive property? (will mark brainliest)
Answer:
Commutative switches the numbers, while associative keeps the numbers positions but changes the parentheses. I hope that helped
need help pls!!!! Algebra
Answer:
11
Step-by-step explanation:
The sum of 1 and a number divided by 7 is 66
461+1=462
462÷7=66
Your answer is 461
Answer:
461
Step-by-step explanation:
Work backwards.
7 X 66=462
462-1=461
So 461 is the answer
If y varies directly as x, and y =-4 when x=8, find y when x=3
Answer: Another way of looking at it!
y
=
10
Explanation:
This is a ratio question in disguise.
By parts of the question:
"When y varies directly with x"
→
y
x
"
"if y=8 when x=4"
→
.
.
y
x
=
8
4
"how do you find y when x=5"
→
y
x
=
8
4
=
y
5
so
y
=
8
×
5
4
=
10
This is the same thing as using 'k' in the other solution
Step-by-step explanation:
i really don’t understand this and i need help so if you can pls help
Answer:
1537500
Step-by-step explanation:
it should be that. all you do is multiply 615000 by 2.5
The difference between 3/4 of a number (n) and 8 is 5/8 of the number. Wut is the number
Answer:
n = 64
Step-by-step explanation:
3/4n - 8 = 5/8n
-8 = 5/8n - 6/8n
-8 = -1/8n
-n = -64
n = 64
The unknown number is 64.
Important information:
The difference between [tex]\dfrac{3}{4}[/tex] of a number [tex](n)[/tex] and 8 is [tex]\dfrac{5}{8}[/tex] of the number.Linear Equation:[tex]\dfrac{3}{4}[/tex] of a number [tex](n)[/tex] is [tex]\dfrac{3}{4}n[/tex].
Difference between [tex]\dfrac{3}{4}[/tex] of a number [tex](n)[/tex] and 8 is [tex]\dfrac{3}{4}n-8[/tex].
[tex]\dfrac{5}{8}[/tex] of the number is [tex]\dfrac{5}{8}n[/tex].
Using the given information form a linear equation.
[tex]\dfrac{3}{4}n-8=\dfrac{5}{8}n[/tex]
Now, solve the equation.
[tex]\dfrac{3}{4}n-\dfrac{5}{8}n=8[/tex]
[tex]\dfrac{6n-5n}{8}=8[/tex]
[tex]\dfrac{n}{8}=8[/tex]
Multiply both sides by 8.
[tex]n=64[/tex]
Therefore, the unknown number is 64.
Find out more about 'Linear Equation' here:
https://brainly.com/question/7244488
A professional gambler reported that at the end of the first race at the track he had doubled his money. He bet $33 on the second race and tripled the money he came with. He bet $60 on the third race and quadrupled his original bankroll. He bet $68 on the fourth race and lost it, but still had $64 left. With how much money did he start?
Answer:
$33
Step-by-step explanation:
A professional gambler reported that at the end of the first race at the track he had doubled his money. He bet $33 on the second race and tripled the money he came with. He bet $60 on the third race and quadrupled his original bankroll. He bet $68 on the fourth race and lost it, but still had $64 left. With how much money did he start?
Let us represent, the amount of money he had at the start= x
Money after the first race=2x
Money he had after betting=2x-33
Money after the second race=3x
Money he had after betting on the third race=3x-60
Money after the race=4x
Money he had after betting on the fourth race=4x-68
Money after the race=$64
4x-68=64
4x=68+ 64
4x = 132
x=132/4
x = 33
Therefore, he had $33 at the start
will give brainliest to first correct answer
Answer:
A or C
Step-by-step explanation:
2/3 + 3/5 = ? (Simplfy it)
Answer:
1 AND 4/19
Step-by-step explanation:
2/3=3/5
lcm=15
10/15+9/15=19/15= 1 AND 4/19
Baldwin made a scale drawing of the town library. He used the scale 1 centimeter : 9 meters. The parking lot is 9 centimeters in the drawing. How long is the actual parking lot?
Answer:
81m
Step-by-step explanation:
1/9 = 9/x
x = 81
In this expression what is the coefficient?
5x + 23?
Answer please
help pls :) it’s due in a few mins
Find the zeros of the function
Enter the solutions from least to greatest.
g(x) = (x-2)(3x + 3)
lesser x =
greater x =
Answer:
lesser: -1
Greater: 2
Step-by-step explanation:
We need to figure out what values of x make it equal to 0
because it's all being mulitplied we just need one parathenses to equal 0
so we can set them equal to 0
which means we have
x-2=0
3x+3=0
Solve for x and get
2
-1
which graph models the solution of the Inequality -6 ≤ -3x
We know that graph (B) models the solution of the given inequality -6 ≤ -3x.
What are graphs?Drawing the curve that represents a function on a coordinate plane is known as graphing a function. Every point on the curve will satisfy the function equation if the curve (or graph) represents the function.Line graphs, bar graphs, pie charts, scatter plots, and histograms are examples of common graph types. Graphs are a fantastic tool for displaying statistics and visualizing data. To depict numerical data that is unrelated to one another, a bar graph or chart may be utilized.So, in the given inequality:
-6 ≤ -3xWe know that:
Make x subject: -6/-3 ≤ xWhich is 2 ≤ x, represented in a graph (B).Therefore, we know that graph (B) models the solution of the given inequality -6 ≤ -3x.
Know more about graphs here:
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#SPJ2
An online video streaming service offers two plans for unlimited streaming.
Plan A has a one-time $25 membership fee and is $8 per month.
Plan B has a $12 membership fee and is $5 per month.
Write the system of equations!
Answer:
b
Step-by-step explanation:
can yall do me a favor, i know this random but i got played by someone so can u spaam his ig, acc name is sturdyyyyy_ just spam his comments called him a cheater and tell him he weird. please. females help a person out.
Answer:
okkkkk
Step-by-step explanation:
Corey spent $17.00, inculding sales tax, on 2 sanwiches cost $5.25 each and the total sales tax was $0.92. What was the cost of each drink.
Answer:
Well to start you already know the sandwich cost 5.25 and the total sales tax .92.
To find the cost of each drink
5.25 x 2= 10.50
10.50+.92=11.42
17.00-11.42= 5.58
5.58/3= 1.86
So the cost per Drink is $1.86
Step-by-step explanation:
Hope this helped!
3. In ΔABC, AB = 5 inches and BC = 3 inches. Which of the choices represents all possible values for AC, in inches?
Answer:
2< AC<8
Step-by-step explanation:
For a triangle to exits sum of two sides must always be greater than the the third side
⇒ AC< AB+ BC =5+3=8 in
⇒AC<8 in
Also, the difference of the two sides must be smaller than the length of third side
⇒ AC> | AB-BC| = |5-3| =2
AC> 2 in
therefore, we can say 2< AC<8. Hence, AC can takes 3,4,5,6 values
TOPIC: You and two friends have $20 to spend on snacks after school.
Explain how you would divide the money between the three of you.
Explain where you would go and what you would buy with your money.
Two different linear functions are shown below with two points given from each function. Use slope-intercept form or point-slope form to find the equation of each. Linear Function A Points: (–5, –2), (–5, 7) Linear Function B Points: (7, –5), (–2, –5) Function A has a slope of -7a slope of 0a slope of 9no slope. The equation of line A is x = -5y = -5x = -2y = 7. Function B has a slope of -7a slope of 0a slope of 9no slope. The equation of line B is x = -5y = -5x = -2y = 7.
Answer:
5
Step-by-step explanation:
Pls help pls thank you
Answer:
2 1/2 pounds
Step-by-step explanation: