Answer:
The tree is 10.77 meters tall.
Step-by-step explanation:
The given diagram is an example of similar triangles. Look at the image I attached to my response to see this problem in terms of triangles.
The triangle that is formed by Alyssa and her shadow and the triangle that is formed by the tree and its shadow is an example of similar triangles because they both share an internal angle.
As per the similar triangles theorem, the ratios of the corresponding sides of both sides are proportional.
Thus, we have to make a proportion of the corresponding sides of both triangles to solve for the height of the tree. Let x = the height of the tree.
Proportion: [tex]\frac{BE}{BC} = \frac{DE}{AC}\\[/tex]
BE = 4.25 meters
BC = 27.75 meters
DE = 1.65 meters
AC = x meters
[tex]\frac{4.25}{27.75} = \frac{1.65}{x}[/tex]
Now, cross multiply to solve for x.
[tex]4.25x = 1.65(27.75)\\4.25x = 45.7875\\x = 10.77[/tex]
∴ The tree is 10.77 meters tall!
The height of the tree to the nearest hundredth of a meter is,
⇒ 10.77 meters
We have to given that;
Alyssa is 1.65 meters tall. At 11 a.m., she measures the length of a tree's shadow to be 27.75 meters. She stands 23.5 meters away from the tree.
Now, we can make a proportion of the corresponding sides of both triangles to solve for the height of the tree.
And, Let us assume that,
x = the height of the tree
Hence, We get;
⇒ (27.75 - 23.5) / 27.75 = 1.65 / x
Solve for x;
⇒ 4.25 / 27.75 = 1.65 / x
Cross multiply we get;
⇒ 4.25x = 1.65 x 27.75
⇒ 4.25x = 45.78
⇒ x = 10.77 meters
Thus, The height of the tree to the nearest hundredth of a meter is,
⇒ 10.77 meters
Learn more about the proportion visit:
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92,63,22,80,63,71,44,35 what is the mean?
Answer:
58.75
Step-by-step explanation:
You add all the numbers and get 470 then divide it by the amount of numbers there which is 8 so 470 divided by 8 is 58.75
what is 3 13/20 as a decimal
Answer:
3.65
Step-by-step explanation:
At middle school lunch in the cafeteria, 60% of the students pack a lunch and 40% buy a lunch. Of the students who pack a lunch, 70% have a cookie. What is the percent of the students who have a cookie at lunch?
Answer:
42%
Step-by-step explanation:
The computation of the percentage is shown below:
Here we assume that there are 100 students
So according to the question
60% of the students would pack the lunch i.e. 60 students
And, 40% of the students buy a lunch i.e. 40 students
Now the students who pack the lunch they have 70% of cookie
So, 70% of 60 students = 42 students
Now the percentage is
= 42 students ÷ 100 students
= 42%
Adele correctly calculates the measure of angle w shown in the figure
Answer: the answer is 40
Step-by-step explanation:
first of all look at the lins and you can see that the lines are the same
Isabella purchased 8 ¼ pints of ice-cream for a party. If each guest will be served exactly 2/4 pint of ice-cream, what is the greatest number of guests that can be served? A. 12 B. 16 C. 15 D. 14
Answer:
16 ( answerC)
Step-by-step explanation:
8 1/4 divided by 2/4 is equal to 16.5. Assuming you aren't going to be having any half-guests at your party, the answer is 16.
PS, there are weird hackers who are posting links on here to their "answers". Don't click on them or else you will get the virus.
Please help it’s due today
Answer:
Angle A = 15°
use angle properties of triangle to solve this.
Step-by-step explanation:
Given Angle CBD = 30,
Angle ABC + Angle CBD = 180 (Sum of Angles on the same straight line)
Angle ABC + 30 = 180
Angle ABC = 180 - 30 = 150
Since Angle AB =~ BC,
Angle A = Angle C
Let angle A and C be x.
Angle A + Angle C + Angle ABC = 180 (Sum of Angles in a triangle)
[tex]x + x + 150 = 180 \\ 2x + 150 = 180 \\ 2x = 180 - 150 \\ 2x = 30 \\ x = 15[/tex]
Therefore Angle A = 15 degrees
Bonjour, svp aidez-moi
b) Décomposer 30 en produits de facteurs premiers.
Answer:
2 x 3 x 5
Step-by-step explanation:
30/2 = 15
15/3 = 5
5/5 = 1
can someone please help me with this question? (no links!!!)
V = 4/3 × 3 × 5^3
V = 4 × 125
V = 500 cm^3
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
Graph:
x y
2 3
4 6
8 12
16 24
32 48
Step-by-step explanation:
Corrdinates for Linear: (5,2)
Hope this helps have a nice day :)
(I tried my best ;-;)
Shelley had 53¢ until she spent 1 quarter. How much money does Shelley have now?
Answer:
28¢
Step-by-step explanation:
A quarter is 25¢, so 53¢ - 25¢ = 28¢.
Find the domain and range of y = 8x + 7.5.
plz help
Answer:
domain range
0 7.5
1 15.5
2 13.5
Mark can make 42 birthday cakes in 7 days. How many cakes can he make in 5 days?
Answer:
30
Step-by-step explanation:
if he can make 42 cakes = 7days
therefore x cakes. =5days
you do cross multiplication
i.e. 42x5/7 =30 days
Val walked dogs to save money for some books she wanted to buy. To determine how much money she will make, she used the function rule y = 6x. Find f(x) = 7.
Answer:
y=6x
y=6(7)
y=6 times 7
y=42
Answer:
42
Step-by-step explanation:
if Y=6, and fx=7, then multiply 6 and 7
What is the equation of the line shown in the graph?
Answer:
-6
Step-by-step explanation:
I'm not really sure whether or not your question is asking for the slope intercept form or just the slope.
Your answer would be: y = -6x + 7 [if your question is asking for the slope intercept form]
OR
Your answer would be: -6 [if your question is asking for just the slope]
Can someone help me solve pleaseeeee? Asap
Answer:
[tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{12x-4}{15x-5}[/tex] ← factorise numerator and denominator
= [tex]\frac{4(3x-1)}{5(3x-1)}[/tex] ← cancel (3x - 1) on numerator and denominator
= [tex]\frac{4}{5}[/tex]
Haley borrows 1000 dollars from her bank.She will pay the loan at a simple annual interest rate of 4% over 4 years.How much will she pay back altogether
Answer:
1160
Step-by-step explanation:
1000×4/100% ×4=160
add the1000+160 since they have asked altogether=1160/=
can someone please help me :,)
Answer:
The answer is 40
Step-by-step explanation:
8+3+5+4=20
Once you added all the nunbers mutilpy by 2
20x2=40
that's how you get 40 as your answer
hope that helps ❤
Evaluate the expression: 5 + 3 × (5 - 2)²
Answer: 32
Step-by-step explanation:
5+3*(5-2)^2
5+3*(3)^2
5+3*9
5+27
32
Answer:
32
Step-by-step explanation:
5 + 3 * (5 - 2)^2
5 + 3 * 3^2
5 + 3 * 9
5 + 2
= 32
name another pair of lines that appear to be perpendicular
Answer:
parallel lines
Step-by-step explanation:
im pretty sure this is it hope this helps
3. Over the weekend, Jada made three times as much money babysitting than Han did mowing lawns. Jada made an additional $27 selling lemonade. From babysitting and selling lemonade, she has a total of $96. If the equation 3x + 27 = 96 represents this situation, what does the variable x represent?
Answer:
X is the amount Han made mowing lawns
because it said that she earned 3xs the amount he did. So you would take what he made times three plus the extra 27 she made from selling lemonade
What is the following product
Answer:
download photomath for problems like these
One marble is picked at random and NOT replaced from a box that has 3 red marbles, 4 green marbles 2 blue marbles and one yellow marble. Find the probability of selecting a red and a red marble.
Answer:
3/9
Step-by-step explanation:
because there are total 9 marbles. 3 red, 4 green and 2 blue.so the probability is 3/9.
Solve for h: V=1/3b^2h
Answer:
Step-by-step explanation:
NO LINKS PLEASE!
54 is equal to 75% of a number n. Write and solve an equation to find n. Write the percent as a decimal.
Answer:
Set this up as a proportion.
54/n = 75/100
Now solve for n and finish from here.
Can i also have brain or a heart :)
Answer:
x would equal 72
Step-by-step explanation:
you can find a percent but there is already a percent showing. So the answer should be 72.
When you're trying to find the answer to these problems you should check if there is a percent part and whole. In this question, there is already a percent and a part so you would just try to find the whole.
If the area of a rectangle can be represented by x^2 -5x-14. What two expressions can represent the dimensions of the rectangle?
Answer:
x-7
x + 2
Step-by-step explanation:
the equation is a quadratic equation
we need to find factors of -14x² that would add up to -5x
these factors are -7x + 2x
(x² + 2x) - (7x - 14)
factorise the expressions in the bracket
x(x + 2) -7(x + 2)
(x-7 )
or x + 2
The area of a square floor on a scale drawing is 49 square centimeters, and the scale drawing is 1 centimeter:3 ft. What is the area of the actual floor? What is the ratio of the area in the drawing to the actual area?
Answer:
the area of the actual floor is 784 ft² and the ratio is (1 cm²) ÷ (16 ft²). The same would be relevant
Step-by-step explanation:
The computation of the area and the ratio of the area is shown below:
The ratio of the drawing area to the actual area is
= ((1 cm) ÷ (4 ft))²
= (1 cm²) ÷ (16 ft²)
Now the actual floor area is
(16 ft²) ÷ (1 cm²) = actual area ÷ (49 cm²)
= (16 ft²) × 49 ÷ 1
= 784 ft²
hence, the area of the actual floor is 784 ft² and the ratio is (1 cm²) ÷ (16 ft²). The same would be relevant
I need help plz, and thank you!!
Answer:
1/2
Step-by-step explanation:
In a triangle rectagle:
Sinx= opposite leg / hypotenuse
On your case:
sin (30°)= 5/10= 1/2
Answer:
using trigonometry :
[tex] \sin(30) = \frac{perpendicular}{hypotenuse} [/tex]
[tex] \sin(30) = \frac{5}{10} [/tex]
[tex] \sin(30) = \frac{1}{2} [/tex]
What is the scale factor of the dilation?
Answer:
Step-by-step explanation:
2/5
PLEASEEEEE HELPPP MEE THIS IS LITERALLY MY 10TH TIME POSTING AND IM LOSING POINTS PLSS HELP MEEE I WOULD HAVE A MENTAL BREAKDOWN PLS
Answer:
8
Step-by-step explanation:
it's 8 because parallel lines have equal slopes
What happens when the ordered pair (x,y) moves to the right?