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
2^-5 =
Can someone please help
Answer:
[tex]\frac{1}{32}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex] , then
[tex]2^{-5}[/tex] = [tex]\frac{1}{2^{5} }[/tex] = [tex]\frac{1}{32}[/tex]
Dave spent 21 minutes completing a race. He walked 9 minutes and jogged the rest. What
is the ratio of time he jogged to time he walked?
find the sum of the following APs. a 2 + 4 + 6+ ... + 98 + 100
Answer:
S=2+4+6+…+100
S=100+98+96+…+2
Adding the two yields
2S=102+102+102+…+102 = 50(102)
Thus S=50(51)=2550
please help asap…………
100 POINTS WHEN ANSWERED AND BRAINLIEST GIVEN TO FIRST CORRECT ANSWER WHENEVER IT LETS ME
Hello there, below here is an attached file of the particular question I have. Thank you so much for coming here to answer! I appreciate you, and I hope have a good day or night!
Answer:
a: 0
b: 1,3
c: 2
Step-by-step explanation:
a: 4 is the y intercept meaning 0 is the number of seconds when the ball is 4 feet in the air
b: to easily find this, we can graph.
1st screenshot is for B.
We see that y=52 intersects twice with the graph, meaning the ball was at 52 feet twice. the times are 1 second and 3 seconds
a: we graph again, but with y=68 we see that it only intersects once. at x=2.
The distance, d, that an object foto is directly proportional to the square of the time, t, it has been in free fall. An object that has been in free fall for 8 seconds has fallen 1024 feet. Determine the distance the object has fallen if it has been falling for 2 seconds
Answer:
d = 64 feet
Step-by-step explanation:
Given that d is directly proportional to t² then the equation relating them is
d = kt² ← k is the constant of proportion
To find k use the condition t = 8 , d = 1024 , then
1024 = k × 8² = 64k ( divide both sides by 64 )
16 = k
d = 16t² ← equation of proportion
When t = 2 , then
d = 16 × 2² = 16 × 4 = 64 feet
What is the estimated total of 674, 692, 724, and 739?
Answer:
2800 is a good estimate
Step-by-step explanation:
Rounding to the nearest hundred
674 = 700
692 = 700
724 = 700
739 = 700
700+700+700+700 = 2800
dwfegrhtytg pls helpp
Answer:
The answer to Y/X is 4/1
pls help me rnnn and dont u dare to put links
Answer:
g=4, h=2
Step-by-step explanation:
Answer:
[tex]g=4, h=2[/tex]
Step-by-step explanation:
First, put them together. 6g+-6 gets rid of g to leave the rest: 10h=20
Then, just divide 10h by 10 to get h alone. h=2
Plug it in 6g+8h=40
6g+16=40
-16 -16
6g=24
g=4
So the answer is g=4, h=2
Have a great day! :))
solve the equation 5(3x-1)=4(3x-2)
Answer:
x=-1
Step-by-step explanation:
15x-5=12x-8 Simplify Parentheses
3x=-3 Isolate the variable
x=-1 Divide by 3 on both sides
Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
Our equation is
[tex]5\left(3x-1\right)=4\left(3x-2\right)[/tex]
First, we distribute
Now we have
[tex]15x-5=12x-8[/tex]
Subtract [tex]12x[/tex] from both sides
[tex]3x-5=-8[/tex]
add [tex]5[/tex] to both sides
[tex]3x=-3\\[/tex]
Divide both sides by 3
[tex]x=-1[/tex]
Brainliest please
There were 6 teams in a baseball tournament. Each team played against every other team exactly once during the tournament. A team earned 2 points for a win, 1 point for a tie, and 0 points for a loss. What was the total number of points earned by all 6 teams in the tournament?
Since there were 6 teams in a baseball tournament, and each team played against every other team exactly once during the tournament, and a team earned 2 points for a win, 1 point for a tie, and 0 points for a loss, to determine what was the total number of points earned by all 6 teams in the tournament, since a series of results have not been raised, the following table should be made:
Possible outcomes: 5 wins = 5 x 2 = 10 4 wins and 1 a draw = 4 x 2 + 1 = 9 4 wins and 1 loss = 4 x 2 = 8 3 wins and 2 draws = 3 x 2 + 2 x 1 = 8 3 wins, 1 draw and 1 loss = 3 x 2 + 1 = 7 3 wins and 2 losses = 3 x 2 = 6 2 wins and 3 draws = 2 x 2 + 3 x 1 = 7 2 wins, 2 draws and 1 loss = 2 x 2 + 2 x 1 = 6 2 wins, 1 draw and 2 losses = 2 x 2 + 1 = 5 2 wins and 3 losses = 2 x 2 = 4 1 win and 4 draws = 2 x 1 + 4 x 1 = 6 1 win, 3 draws and 1 loss = 2 x 1 + 3 x 1 = 5 1 win, 2 draws and 2 losses = 2 x 1 + 2 x 1 = 4 1 win, 1 draw and 3 losses = 2 x 1 + 1 x 1 = 3 1 win and 4 losses = 2 x 1 = 2 5 draws = 5 x 1 = 5 4 draws and 1 loss = 4 x 1 = 4 3 draws and 2 losses = 3 x 1 = 3 2 draws and 3 losses = 2 x 1 = 2 1 draw and 4 loss = 4 x 1 = 1 5 losses = 0
Learn more in https://brainly.com/question/6283215
A salesman sells a car for 960,000.If he receives a commission of 15%,how much will be his commission?
Answer:
144 000
Step-by-step explanation:
960 000 × 0.15
= 144 000
Answer:
144,000
Step-by-step explanation:
[tex] \frac{15}{100} \times 960000 \\ 15 \times 9600 \\ 144000[/tex]
(3 questions for 50 points)PLZ HELP
Answer:
see explanation
Step-by-step explanation:
(10)
Since the triangles are congruent then corresponding sides are congruent, so
EF = BC , that is
4x - 1 = 19 ( add 1 to both sides )
4x = 20 ( divide both sides by 4 )\
x = 5
and
DE = AB , that is
y - 6 = 8 ( add 6 to both sides )
y = 14
-------------------------------------------------------
(11)
Since the triangles are congruent the corresponding angles are congruent, so
∠ K = ∠ Y , that is
3x - 37 = 41 ( add 37 to both sides )
3x = 78 ( divide both sides by 3 )
x = 26 , then
∠ K = 3x - 37 = 3(26) - 37 = 78 - 37 = 41°
The sum of the 3 angles in Δ ZMK = 180° then
∠ Z = 180° - (41 + 112)° = 180° - 153° = 27°
So
∠ A = ∠ Z
2y + 7 = 27 ( subtract 7 from both sides )
2y = 20 ( divide both sides by 2 )
y = 10
------------------------------------------------------------------------
(12)
Since the triangles are congruent the corresponding sides and angles are congruent
DG = BS
4x - 11 = 25 ( add 11 to both sides )
4x = 36 ( divide both sides by 4 )
x = 9
∠ T = 180° - (56 + 21)° = 180° - 77° = 103°
Then
∠ H = ∠ T
7y + 5 = 103 ( subtract 5 from both sides )
7y = 98 ( divide both sides by 7 )
y = 14
Simplify 80−−√
4 5√
5 16−−√
5 4√
16 5√
Answer:
The answer is the 3rd choice
Step-by-step explanation:
7/9 - 2/8 x 49 in simplest form
Answer:
7/9 - 2/8 x 49
First, according to BODMAS we will solve multiplication7/9 - 2/8 x 49 = 7/9 - 49/4= -61/12Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
3^x X 9^4 = 3^n
Find n in terms of x
Answer:
n = x + 8
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
Then
[tex]3^{x}[/tex] × [tex]9^{4}[/tex] = [tex]3^{n}[/tex]
[tex]3^{x}[/tex] ×[tex](3^2)^{4}[/tex] = [tex]3^{n}[/tex]
[tex]3^{x}[/tex] × [tex]3^{8}[/tex] = [tex]3^{n}[/tex]
[tex]3^{x+8}[/tex] = [tex]3^{n}[/tex]
Since bases on both sides are equal, both 3, then equate exponents
n = x + 8
What is the area of this triangle NO LINks OR I WILL REPORT
Answer:
18 square inches
Step-by-step explanation:
Area of triangle = bxh/2
b=3, h=12
Area = 3x12/2
Area = 36/2
Area = 18 square inches
Write a formula for the volume V of a prism where B is the area of the base and h is height
Answer:
a pyramidal prism is 1/3 the volume of a similar rectangular prism of same base and height
so V=(1/3)bh
V=36
H=6
find area of base
36=(1/3)b6
36=2b
divide both sides by 2
18=b
the area of the base is 18 square units
Step-by-step explanation:
the answer is : V= B.h
If a bag contains 10 blue marbles, 5 green Marbles, and 3 red marbles, What is the ratio of red marbles to all Marbles? be sure to simplify/ an equivalent ratio
Answer:
1 red marble to 6 total marbles
Step-by-step explanation:
There are 3 red marbles, and (10 + 5 + 3) total marbles.
There are 3 red marbles to 18 total marbles
therefore the ratio is 3 to 18 which can be simplified by dividing both sides of the ratio by 3
the ratio is 3/3 : 18/3 which is 1:6
Find the slope given two points: (-9, -2) and (-5,0)
Answer:
1/7
Step-by-step explanation:
Consider the line passing through these two points. The increase in x (run) from the first to the second is 14; the increase in y (rise) is 2.
Thus the slope of this line is m = rise/run = 2/14, or m = 1/7
Answer:
[tex]m = \frac{1}{2}[/tex]
Step-by-step explanation:
To find the slope using two given sets of coordinates, the following function can be used:
[tex]m = \frac{y2-y1}{x2 - x1}[/tex]
Where x1,y1 are one set of coordinates and x2,y2 are the other set:
[tex]m = \frac{0 - (-2)}{-5 - (-9)}\\[/tex]
[tex]m = \frac{0 + 2}{-5 + 9}[/tex]
[tex]m = \frac{2}{4}[/tex]
This can be simplified down to:
[tex]m = \frac{1}{2}[/tex]
Hope this helps!
Marco is making rice but wants to decrease the recipe to make less.
Which fraction could he multiply his ingredient amounts by in order to produce less rice?
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
HELP HELP HELPP PLEASEDEEEE
what is 16% x 19
SHOW WORK PLEASEEEEEEE PLS PLS PLSSSSSSSS
Answer:
3.04
Step-by-step explanation:
16% is 0.16. Multiply 0.16 * 19 to get 3.04
Answer:
this last answer will come 304
hiroshi borrowed 3 nonfiction books from the library. This was 25% of the books he checked out. how many books did Hiroshi take out?
Answer:
12 books
Step-by-step explanation:
25% is the same as 1/4
3=25%=1/4
if you multiply 3 by 4 you get 100% or 12
You can also do this by adding 9, aka 3*3, to 3 to get 3*4=12.
Sam has 3 more than twice the number of baseball cards that Catherine has. Together Sam and Catherine have 51 baseball cards. How many cards do Sam and Catherine each have?
Answer:
catherine has 16 card and sam also has 16 card
Answer the question in the picture below
Answer:
16.25, 20, 13.75, 12.5, 7.5
Step-by-step explanation:
1cm= 2.5m
6.5x2.5= 16.25
8x2.5= 20
5.5x2.5= 13.75
5x2.5= 12.5
3x2.5= 7.5
The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of 3 cm/s. When the length is 11 cm and the width is 5 cm, how fast is the area of the rectangle increasing?
Answer: 89 cm^2/minute
Step-by-step explanation:
Initial Area: 11 x 5 = 55 cm^2
Area after 1 minute: 18 x 8 = 144 cm^2
The area of the triangle is increasing by
please help me i’ll love you so much if you help
Answer:
1. yes
2. no
3.no
Step-by-step explanation:
You can just distribute to see if it matches up with the other expression.
f (x)=x^2 what is g (x)
Answer:
Answer is X =0
Step-by-step explanation:
I Found This on a app
Does anyone one have the vocabulary words and definitions for this iready lesson? (Pls help this is graded)
Answer:
absolute value
coefficient
constant
counterexample
equation
expression
evaluate
inequality
I hope that helps maybe give brainliest if it does!
Love,
-Banana
micheal-anthony and jocelyn are both running around the track at school. michael-anthony runs 3 miles in 20mins and continues running at this pace for 1 hour. jocelyn runs 4 miles in 30 mins and continues running at this pace for1 hour. how many miles does each person each person run in an hour? who runs faster?
explanation is needed
The number of miles each person runs after an hour is;
Michael Anthony = 9 miles
Jocelyn = 8 miles
The person that runs the fastest is;
Michael Anthony with a speed of 0.15 miles per minute.
Michael-Anthony runs 3 miles in 20 minutes
Now formula for speed is;
Speed = distance/time
Thus;
Speed of Michael Anthony = 3/20 miles per minute = 0.15 miles per minute
Thus, in 1 hour = 60 minutes,
Distance covered = 3/20 × 60
Distance covered = 9 miles
Jocelyn runs 4 miles in 30 minutes
Speed of Jocelyn = 4/30 = 0.133 miles per minute
Distance covered by Jocelyn in 1 hour = 60 minutes is; 0.133 × 60 = 8 miles
Read more about distance, time and speed relationship at; https://brainly.com/question/3267354