Using proportions, it is found that the height of the lighthouse is of 84 ft.
This question is solved by proportions, using a rule of three.For a height of 5.25 feet, the shadow is of 8 feet. What is the height when the shadow is of 128 feet?The rule of three is:
5.25 feet - 8 feet
x feet - 128 feet
Applying cross multiplication:
[tex]8x = 5.25(128)[/tex]
[tex]x = \frac{5.25(128)}{8}[/tex]
[tex]x = 84[/tex]
The height of the lighthouse is of 84 ft.
A similar problem, which also uses proportions, is given at https://brainly.com/question/24372153
What are the steps for solving -3/10 + 4/10
Answer:
1/10
Step-by-step explanation:
-3/10+4/10=4/10-3/10
=1/10
the points (3,5) and (-2,10) lie on a line. what is the slope
Answer:
-1
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 10-5)/(-2-3)
=5/-5
= -1
Solve the slope for the table.
the answer to your question is slope is 6
Explain why 4xy and 5x²y are not like terms.
Model with Math The 46 golf balls in Stavin's
golf bag have 15,180 dimples on them. Each
golf ball has the same number of dimples,
Use the bar diagram to write and solve an
equation to find the number of dimples on
each ball in Stavin's bag,
Answer:
Step-by-step explanation:
divide 15,180 and 46=330 dimples on each ball
Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $35 and same-day tickets cost $20 . For one performance, there were 65 tickets sold in all, and the total amount paid for them was $1900 . How many tickets of each type were sold?
Answer:
600 Advance tickets 1,300 same-day tickets
Step-by-step explanation:
65x20=1,300
1900-1,300=600
Answer these questions
Answer:
y = 5
Step-by-step explanation:
first you subtract 5y from itself and from 7y
then you'll get: 2y + 2 < 12
then subtract the 2 from itself and from the 12
that will give you: 2y < 10
then just divide the 2 from itself and that eliminates the 2 but keeps the y, and divide the 10 by the 2
that'll give you y = 5
10x is greater than or equal to 120 cm^2
Answer:
x greater than or equal to 12cm^2
Step-by-step explanation:
7/8 of the animals in a garden are goats the rest 230 cow how many animals are there altogether
Answer:
1610
Step-by-step explanation:
230 is 1/8 percent, multiply it by 7, get 1610
what is this anyone know?
Is this answer right?
Answer:
correct.
Step-by-step explanation:
Given the complementary angle of y is 43º. Find the supplementary angle of y
Step-by-step explanation:
complementary = adds up to 90 degrees.
supplementary = adds up to 180 degrees.
the complementary angle of y is 43 degrees.
so, y = 90 - 43 = 47 degrees.
the supplementary angle of y = 47 is
180 - 47 = 133 degrees
Hello!
Given the complementary angle of y is 43º.
90 - 43 => 47°
Find the supplementary angle of y
180-43 => 137°
(7+7b)+(-2+8c)+(1+5d)
Answer: 7b + 8c + 5d + 6
Step-by-step explanation:
1) (7+7b)+(-2+8c)+(1+5d)
combine like terms (starts with the ones with variables)
2) 7b + 8c + 5d
now all you need to do is add the numbers without variables
3) 7b + 8c + 5d + (7 + -2 + 1)
4) 7b + 8c + 5d + 6
write a math story about this problem : -4n = -24 how to find n!
Answer:
n=6
Step-by-step explanation:
-4n=-24
4n=24
n=24÷4
=6
A taxi service charges an initial fee plus $1.80
per mile. How far can you travel for $12
?
What information do you need in order to be able to solve the problem?
Answer:
You would need the intial fee in dollars/cents
Expression:
c=initial fee
x=amount of miles
[tex]1.80x+c=12[/tex]
Step-by-step explanation:
You would need the intial fee in dollars/cents
Expression:
c=initial fee
x=amount of miles
[tex]1.80x+c=12[/tex]
Suppose the population of a town is 100,000 in 2014. The population increases at a rate of 4.5 percent every year. What will the population of the town be in 2020? Round your answer to the nearest whole number.
Answer:
127,000 people by 2020
Step-by-step explanation:
4.5% per year
We have 6 years since 2020-2014=6 years
4.5 • 6 = 27% of 100,000 = 27,000
To find our total population, it would be 100,000+27,000=127,000 people would live there in 2020
This is assuming the birth rate is consistent
Brainliest please :)
help me plslsssssssssss
Answer:
see the attachments for the graphs
1. y = 1/4x +4 1/4
2. y = -5/9x +7/9
Step-by-step explanation:
The relevant formulas are ...
m = (y2 -y1)/(x2 -x1) . . . . . slope of line through points (x1, y1), (x2, y2)
b = y -mx . . . . . . . . . . . . . y-intercept of a line with slope m through point (x, y)
y = mx + b . . . . . . slope-intercept equation of the line
__
1.Points (3, 5), (-1, 4)
m = (4 -5)/(-1 -3) = -1/-4 = 1/4
b = 4 -(1/4)(-1) = 4 1/4
Equation of the line: y = 1/4x + 4 1/4
__
2.Points (-4, 3), (5, -2)
m = (-2-3)/(5 -(-4)) = -5/9
b = 3 -(-5/9)(-4) = 3 -20/9 = 7/9
Equation of the line: y = -5/9x +7/9
x=1
y=−3x+10
What is the answer?
Answer:
7
Step-by-step explanation:
as x is 1
3x added 10 -3*1 add 10 -3 add 10 = 7 as it is is sign - and add the ans will be 7
What is a dot product.
Answer:
In mathematics, the dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors), and returns a single number. ... Algebraically, the dot product is the sum of the products of the corresponding entries of the two sequences of numbers
Step-by-step explanation:
Flying against the jetstream, a jet travels 3280 miles in 4 hours. Flying with the jetstream, the same jet travels 5500 miles in 5 hours. What is the rate of the jet in still air and what is the rate of the jetstream?
What is the answer please?
Answer:
its f
Step-by-step explanation:
Answer:
H. [tex]x\leq -5[/tex]
Step-by-step explanation:
hope this helps!
Brian, Pip and Sara share some sweets in the ratio 4:2:1. Brian gets 45 more sweets than Sara. How many sweets are there altogether?
Answer:
105 sweets
Step-by-step explanation:
4×15 = 60
2×15=30
1×15=15
60-15 =45
60+30+15=105
Which is equivalent to the expression below?
5(x + 5)
Group of answer choices
x + 25
5x + 25
5x + 10
x + 10
Answer:
The answer is 5x + 25
Explanation:
Apply distribution
distribute 5 to the equation inside the parenthesis
5x + 5 × 5
5x + 25
expand and simplify
(x +3)(x+5)
Answer:
x² + 8x + 15
Step-by-step explanation:
(x +3)(x+5)
=> x² + 5x + 3x + 15
=> x² + 8x + 15
So, after simplifying, we can conclude that x² + 8x + 15 is our answer. Hoped this helped.
please help!
im confused
Answer:
8(4+2)
Step-by-step explanation:
8 x 6 = 48 hence 32+16 also equals 48
Answer:
8 (4 +2)
Step-by-step explanation:
because you mulitiple 8 times 4 which is 32 and then you do 8 times two which is 16 and so that is the answer that the were looking for
help me please
−|a+b/2−c when a=123 , b=−1 , and c=−3
Enter your answer as a simplified fraction in the box.
Answer:
64
Step-by-step explanation:
123+(-1)/2-(-3)=
122/2=61
61+3=64
Which expression has a positive product? 0 4.(-2).0.(-3) 2.(-5). ( 4)( 1) 6. (2).8.(3) 5- (6)-( 3). (3)
Answer:
(4)(1)6
Step-by-step explanation: It only has all positives and the rest all have one negative so that affects the whole problem and turns them negative.
How to find factors of a number.
How to prove p is a midpoint of AB and Q midpoint of BC
Answer:
Step-by-step explanation:
see the figure below
As O is mid point of rectangle
distance between O to AB and DC is same
also distance between O to AD and BC is same
OP and OQ are perpendiculars so it is straight
and OP divides AB into equal segments as distance between O to AD and BC is same
same goes with OQ
PLEASE ANSWER QUICK
What is the domain of f?
Answer:
-7 ≤ x ≤ 7
General Formulas and Concepts:
Algebra I
Coordinate Planes
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
According to the graph we can see that our x values span from -7 to 7. Since both are closed dot, they are inclusive in our domain:
[-7, 7] or -7 ≤ x ≤ 7
Answer:
A -7<=x<=7
Step-by-step explanation:
Domain is the set of x values which fulfill the function. We can tell from the graph that the x values start from -7 and last to 7. therefore the domain is A
