A bench is located where the shadows casted by a 16 foot tall flagpole and 40-foot tall tree meet. If the bench is 18 feet from the flag pole, find the distance from the flagpole to the tree
Answer:
The distance from the flagpole to the tree is 27 ft
Step-by-step explanation:
Similar Triangles
Since the elevation angle from which the trees cast their shadows has the same measure and given the tree and the flagpole and the ground form right angles, both triangles are similar.
Similar triangles have their corresponding side lengths proportional. The ratio between the distances from the bench to the tree and flagpole and their heights is constant, i.e.:
[tex]\displaystyle \frac{16}{18}=\frac{40}{x}[/tex]
Where x is the distance from the bench to the tree.
Solving for x:
[tex]\displaystyle x=40\cdot \frac{18}{16}[/tex]
x = 45 feet
Thus the distance from the flagpole to the tree is 45 - 18 = 27 feet
What number is 2 more than 0.75? Show ALL of your work.
Answer:
2.75
Step-by-step explanation:
let x be the number.
0.75 + 2 = x
2.75 = x
Answer:
2.75
Step-by-step explanation:
0.75 +2.00
0.75 + 1.00 = 1.75
0.75 + 2.00 = 2.75
Please help I’m running out of time!!!
After which event did General Douglas MacArthur take command of the US Army in the Pacific?
The Japanese invaded the Philippines.
O The US won the battle of Midway Island.
O The US and Japan fought for Guadalcanal.
O The Japanese almost won the battle of Iwo Jima.
Answer:
The answer is Battle of Midway
Step-by-step explanation:
Help pls 6th grade math
Answer:
x> or equal to 35. 36 is a solution.
Step-by-step explanation:
convert 2000 feet per minute to miles per hour
There are 202 students in all the chemistry classes combined. 11% have an A average 29% have a B average and 39% have a C average everyone else has an F. How many students are failing chemistry
Answer:
42 students are failing chemistry
Step-by-step explanation:
add all the percentages up and subtract from 100. x/202=21/100.
you get 42 students who failed.
Complete the solution of the equation. Find the
value of y when x equals -30.
-2x – 3y = 42
The value of y when -2(-30) - 3y = 42 is that y will be 6 so therefor the answer is y = 6
Which is the better buy: 4 pens for $2.60 or
12 pens for $7.20
Answer: The 12 pens for $7.20 is the better buy
Step-by-step explanation: each pen is 60 cents. While 4 pens for $2.60 would be 65 cents.
2 ( 4 + k ) - 11 = 15 i need it now please.
Answer:
Yes
Step-by-step explanation:
Answer: k=9
Step-by-step explanation:
Which of the following is a true statement about the angles in the
figure below?
22
21
24
43°
56
23
them is 99
Answer:
6ix9ine..69. ..
Step-by-step explanation:
m...vgcty
Find the missing side length
I WILL GIVE BRAINLIEST TO CORRECT ANSWER
Express X^2-8x+5 in the for (x-a)^2-b where a and b are integers
Answer:
[tex]x {}^{2} - 8x + 5 \\ = x {}^{2} - 8 x+ 5 + 11 - 11 \\ = x {}^{2} - 8x +16 - 11 \\ = (x - 4) {}^{2} - 11 \\ [/tex]
A is 4 and b is 11
If two lines meet and form right angles, then
Answer:
the lines are perpendicular. the reason it will be perpendicular is because its going to be intersected by those right angles.
Answer:
IF TWO LINES ARE PERPENDICULAR ,THEN THEY MEET TO FORM RIGHT ANGLES .
Step-by-step explanation:
A scale drawing of a building shows 1 inch = 8 feet. How many feet are represented by 3 ¾ inches on the drawing?
Answer:
30 feet is represented by 3 3/4 inches on the drawing
Step-by-step explanation:
We have the relation as;
1 inch = 8 feet
Thus;
3 3/4 inches = x feet
x = 3 3/4 * 8
x = 15/4 * 8
x = 30 feet
Need help with I ready math plz help
Answer:
9/4 or 2 1/4 inches
Step-by-step explanation:
(3/4)*3 = 2.25 = 9/4 = 2 1/4 inches
how many 3.50 burgers can you buy for $90
Answer:
27
Step-by-step explanation:
Find the value of x.
16
3x-4
Answer:
x = -4
Step-by-step explanation:
At Target you can buy 45 oz. of Sprite for
$2.79, and at Walmart you can buy 65 oz.
of Sprite for $2.75. Compute which
option is the better buy and by how
much.
Answer:
walmart
Step-by-step explanation:
WILL MARK YOU BRAINLIEST
Answer:
m<S=66.5
Step-by-step explanation:
The sum of the angles = 360
(6x-6)+(4x-10)+(5x-11)+(5x+13)+(4x+2) = 360
24x-12=360
24x=372
x=15.5
S=5x-11 = 5*15.5-11=66.5
Answer:
104
we have:
6x - 6 + 4x - 10 + 5x - 11 + 5x + 13 + 4x + 2 = 180.3
<=> 24x - 12 = 540
<=> 24x = 552
<=> x = 552/24
<=> x = 23
with x = 23, we have: m<S = 5.23 - 11 = 115 - 11 = 104
4y+3y simplify
It would mean a lot if anyone could answer this! Im on homework and this question is really bugging me.
Answer:
✓ Simplifying Expressions[tex]4y + 3y[/tex]
Solution:[tex]4y + 3y \\ = 7y[/tex]
Adding the numerical coefficient with the terms that have the same variables. Meaning they are like terms. Adding the base and then copy the variables.> Therefore, the answer is 7y.HELP! WILL MARK BRAINLIEST!!!!
Answer:
its c
Step-by-step explanation:
5% of 650 is 32.5 but SHOW YOUR WORK on how you get the answer I will mark brainliest...
Please help me if u give me an answer could u also give me an explanation on why that’s the answer.
Calculate the perimeter of ABCD.
B
+
6 cm
950
8 cm
5 cm
C
Answer:
The perimeter is 28.13 cm
Step-by-step explanation:
We connect a line from A to C
we can use the cosine rule to find the length AC
let us call it x
AC^2 = AB^2 + BC^2 - 2(AB)(BC) cos B
we have this as;
x^2 = 6^2 + 8^2 - 2(6)(8) cos 95
x^2 = 36 + 64 + 8.37
x^2 = 108.37
x = √108.37
x = 10.4 cm
AC = 10.4 cm
now, let us look at triangle ADC Where we have AC as the hypotenuse as it is the side facing the right angle
We can use Pythagoras’ theorem to get the value of CD
We have it that the square of the hypotenuse AC is the sum of the squares of the two other sides
let DC be y
10.4^2 = 5^2 + y^2
y^2 = 108.37 - 25
y^2 = 83.37
y = √83.37
y = 9.13 cm
The perimeter of the shape is the sum of all its sides
so we have;
AB + BC + CD + AD
= 6 + 8 + 9.13 + 5
= 28.13 cm
are 2x3 and 4x4 like or unlike terms
Answer:
They are like terms
Step-by-step explanation:
Answer:They are like terms!
Step-by-step explanation:
(Write an equation to go with the problem) Miranda goes to the store to buy 3 apples and some rice. The total was 6.50. If the rice cost $5.00, what was the cost per Apple?
Answer:
14.15 is the answer..comment it if that subtraction or multiple division
Answer: 3x + 5 = 6.50 is the equation where x represents the cost per apple and the cost per apple is 50 cents.
Step-by-step explanation:
In this situation we will represent the cost per apple by the variable x.
If she bought 3 apples, then 3 has to be multiply by x to find the cost so we will have the expression 3x
The rice cost $5 and she spend a total of 6.50 so 3x has to be add to 5 and it has to equal 6.50.
3x + 5 = 6.50 You can now solve for x in the equation to find the cost per apple
3x + 5 = 6.50
-5 -5
3x = 1.5
x= 0.5
This means the cost of an apple is 50 cents.
ecan someone plase help me on this
Answer:
I think it is C that would be the best answer
Solve the system of equations by Linear Combination (Elimination)
6x - 2y = 16
x + 2y = 5
a) (3,1)
b) (1,3)
c) Infinite Many Solutions
d) No Solution
PLEASE PLEASE PLEASE HELPPP MEEE
Bonnie has been hired to make a frame to go around a large mural. She will have 300 tiles to use. How many tiles should she place along one side of the square frame for the mural? Work with your team and be prepared to describe your process to the rest of the class.
Answer:
she should place 76 tiles along 1 side of the square
Step-by-step explanation:
300 = 4n - 4
answer will leave u with n=76
please help i really need help
thanks
Answer:
B. 31.62
Step-by-step explanation:
First, find the distance of the line using the distance formula, [tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1} )^2 }[/tex]. Plug the two points (-1,0) and (5,2) into the formula and solve. This gives you 6.32, then this is only one line of a pentagon, which has 5 sides, so you need to multiply. Since you are finding the perimeter, which is all of the sides added together, multiply the one side by 5. 6.32*5=31.62.