A 30-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 32 m. Find the length of the shadow. If necessary, round your answer to the nearest tenth.
Answers
Answer: 11.1 m
Step-by-step explanation:
This can be solved by the Pythagorean theorem where;
c² = a² + b²
c is the hypotenuse which is the distance from the top of the building to the tip of the shadow.
a is the height
c is the length
32² = 30² + b²
b² = 32² - 30²
b² = 1,024 - 900
b² = 124
b = √124
b = 11.1 m
Related Questions
Anne's potato salad recipe requires one pound of potatoes for every four people served. How many pounds of potatoes will Anne need to serve 14 people at her picnic?
Answers
Answer:
3.5 pounds for 14 people
Step-by-step explanation:
Given
1 pound = 4 people
Required
Determine the pounds for 14 people
Represent this with x; so, we have:
[tex]1\ pound = 4\ people[/tex]
[tex]x = 14\ people[/tex]
Cross Multiply
[tex]x * 4 = 1 * 14[/tex]
[tex]4x = 14[/tex]
Solve for x
[tex]x = 14/4[/tex]
[tex]x = 3.5[/tex]
Hence, 3.5 pounds for 14 people
solve for x if 2(5x + 2)^2 = 48
Answers
Answer:
(c) is the Correct answer of this
Step-by-step explanation:
First divide both sides by 2
then apply (a+b)^2 = a^2+b^2+2ab formula
solve quadratic equation
then apply discriminant formula
Hope you get it dear ☺️
Statements
Reasons
1. ZABC is rt. 2
1. A
Identify the missing parts in the proof.
Given: ZABC is a right angle.
DB bisects ABC.
Prove:mZCBD = 45°
2. DB bisects ABC
2. given
3. def. of rt. 2
3. B
A:
4. m ABD = mZCBD
4. def. of bis.
B:
C:
D:
5.C
5. M_ABD + m2CBD = 90°
6. m2CBD + m2CBD = 90°
7. D
6. subs. prop.
7. add.
8. div. prop.
8. mZCBD = 45°
Answers
Answer:
See Explanation
Step-by-step explanation:
The question has unclear information.
So, I'll answer from scratch
Given
ABC = Right angled triangle
DB bisects ABC
Required
Prove that CBD = 45
From the question, we have that:
ABC is right angled at B
So, when DB bisects ABC, it means that DB divides ABC into two equal angles.
i.e.
[tex]CBD = ABD[/tex]
and
[tex]CBD + ABD = 90[/tex]
Substitute CBD for ABD in [tex]CBD + ABD = 90[/tex]
[tex]CBD + CBD = 90[/tex]
[tex]2CBD = 90[/tex]
Divide both sides by 2
[tex]\frac{2CBD}{2} = \frac{90}{2}[/tex]
[tex]CBD = \frac{90}{2}[/tex]
[tex]CBD = 45[/tex]
Hence, it is proved that [tex]CBD = 45[/tex]
Follow the above explanation and use it to answer your question properly
Tavares is saving for a $350 cell phone.He already has $60 and plans to save an additional $20 per week?How many weeks will Tavares have to save before he can buy the cell phone ?
Answers
Answer:
15 weeks
Step-by-step explanation:
15 times 20 = 300
300+60=360
15 Weeks
Step-by-step explanation:
You earn 20 every week, multiply that by 15 and you get 300. You already have 60 So add 300+60 and you get 360, so 15 weeks
Can anyone do it I'll give you brainiest
Answers
Answer:
64°Step-by-step explanation:
? + 86 + 90 + 84 + 36 = 360
? = 360 - 86 - 90 - 84 - 36
? = 64
therefore, the missing angle = 64°
84 + 36 + x = 180
x = 60
80 + 60 + x = 180
x = 40
The value of ? Is 40
For f(x) = -x + 8, which statement is true?
Answers
what are the y-intercept and the slope of the line represented in the graph? (i will give most brainly to whoever answers)
Answers
Answer:
Y is 4 and slope is 2
Step-by-step explanation:
the red line hits 4 and the sope is the other number that the red line hits which is 2
How many of y'all are in virtual school and using this app for help
Answers
Answer:
thx
Step-by-step explanation:
really needed them and merry christmas
El precio del saco de arroz es a 2 como el precio del saco de azúcar es a 3; si el producto de ambos precios es numéricamente 3 456, calcula el precio del saco de azúcar.
Answers
Answer:
El precio del saco del azúcar es de 72.
Step-by-step explanation:
Sean [tex]x[/tex], [tex]y[/tex] los precios del saco de arroz y el saco de azúcar, respectivamente. A continuación, traducimos cada oración relevante en ecuaciones matemáticas:
(i) El precio del saco de arroz es a 2 como el precio del saco de azúcar es a 3:
Aquí se menciona una igualdad entre expresiones racionales, es decir:
[tex]\frac{x}{2} = \frac{y}{3}[/tex]
[tex]3\cdot x -2\cdot y = 0[/tex] (1)
(ii) El producto de ambos precios es numéricamente 3456:
[tex]x\cdot y = 3456[/tex] (2)
Ahora resolvemos el sistema de ecuaciones, despejamos [tex]x[/tex] en (1):
[tex]x = \frac{2}{3}\cdot y[/tex]
Y la aplicamos en (2):
[tex]\frac{2}{3}\cdot y^{2} = 3456[/tex]
[tex]y^{2} = 5184[/tex]
[tex]y = 72[/tex]
El precio del saco del azúcar es de 72.
Multiply and simplify the following complex numbers:
(3 – 41) x (-3+22)
Answers
Answer:
Your answer is going to be - 722
Step-by-step explanation:
(3-41)=-38
(-3+22)=19
-38*19=-722
Answer: (3 – 41) x (-3+22)= -722
When you go to do the multiplication or any math like this
parentheses,
exponents,
multiplication &division,
addition & subtraction,
Multiplication and division go together, so you do whichever one comes first. Same with addition and subtraction,
So If you do the math in P-E-M-D-A-S (3−41)(−3+22)
=−38(−3+22)
=(−38)(19)
=−722
-722 is your answer
A music teacher arranged 304 chairs in a rows for a concert. She puts 16 chairs in each row. How many rows of chairs did she arrange? A) 20 B) 16 C) 22 D) 19
Answers
Answer:
19 rows.
Step-by-step explanation:
304/16
=19.
Hope this helped!
you divide 304 by 16
whats pi the math number
Answers
Answer:
3.14 as the shortened version. The long version goes on forever, but I'll write some more. 3.14159265358979323846
Step-by-step explanation:
how would you solve p-11=-14
Answers
Answer:
Step-by-step explanation:
all you would need to do is add 11 to both sides, and then you would get your answer.
solve: [S=$75+$150m]
Answers
Answer:
Step-by-step explanation:
$ = $75 + $150m
$ = $75 = $150,000,000 ($150m is equal to $150 million)
$ = $150,000,075 (adding $150,000,000 and $75)
Divide and reduce: 2 1/4 divided by 1 2/3
Answers
Answer:
63/48
Step-by-step explanation:
21/4÷12/3
21/4×3/12
63/48.
So the final answer is 63/48
Answer:
1/35
Step-by-step explanation:
help please there is actually a question this time
Answers
Answer:
D...
Step-by-step explanation:
Thats on mine and got it right
What is the solution of |y+2|=6
Answers
|y+2| = 6
There are 2 cases possible -
1st case -
y + 2 = 6
y = 6 - 2
y = 4
2nd case -
- ( y + 2 ) = 6
- y - 2 = 6
- y = 6 + 2
- y = 8
y = -8
Values of y = 4, -8Look at the picture below
Answers
What is the slope of the line that passes through the points (10,-6) and (8, -16)?
Write your answer in simplest form.
Answers
Answer:
y = 5x -56
Step-by-step explanation:
Delta y over Delta x for slope. Plug in x = 0 for y int.
y = 5(0) -56
y = -56
You got an A on 6 of your last 8 quizzes in Algebra 2. What is the experimental probability that you will get an A on your next quiz? (Simplify the fraction).
Answers
Not so sure
Tell me a fun fact about horses I will give brainliest to whoever tells me one I don’t know (I have been riding for 12 years) so I know a lot about horses also don’t answer this just for the points or else you will get reported
Answers
Answer:
Horses can sleep both lying down and standing up.
Step-by-step explanation:
What is the answer? I can not figure it out at all I’ve been lookin forever now plz help!
Answers
Answer:280
Step-by-step explanation:
use formula:a+b/2+h a=base b=base h=height
solve this one pleeaasssee
Answers
Answer:
the answer is c
Step-by-step explanation:
when looking at the graph you can see the intersection point which is (4,3) and at 4 months they were both 3 pounds. at the point of intersection they were the same age and same weight.
Clarissa has a budget of $1,200 a month to spend for rent and food. She has already spent $928 this month. Which inequality represents the amount she can still spend this month and remain within her budget?
Answers
Answer:
the answer is x ^ 272
Step-by-step explanation:
subtract
Answer:
its B
Step-by-step explanation:
I got 100 on the quiz
please help me this is for algebra 1 the correct answer ill give brainly!
Answers
Answer:
1/2x is m and 3 is b
Step-by-step explanation:
y= 1/2x +3
The formula would be MX+B.
so the slope which is m would be 1/2
and the +3 part would be the y intercept
because it's in the slope intercept form
PLEASE HELP!!! THANK YOU!!!
Answers
Answer:
1st attachment :-counters left = 160
fraction of counters left = 160/400
=2/5
2nd attachment :-a) how much cheaper = 13 ×(35.43 -15.37)
= 260.78
b) B.underestimate
Answer:
260.78
Step-by-step explanation:
Allison is making party favors. She has a roll of ribbon that is 4 1/3 feet long. Each favor needs 1/3 feet of ribbon. How many favors can she make?
Answers
Answer:
13 favors
Step-by-step explanation:
Roll of ribbon = 4 1/3 feet long.
favor = 1/3 feet of ribbon
How many favors can she make?
Number of favors = Total roll of ribbon / length of each favors
= 4 1/3 feet ÷ 1/3 feet
= 13 / 3 × 3 / 1
= (13 × 3) / (3 × 1)
= 39 / 3
= 13
Number of favors = 13
Allison can make 13 favors from 4 1/3 feet of ribbon each of 1/3 feet
Is this sequence arithmetic, geometric, or neither? 45, 50, 65, 70, 85, ...
neither
geometric
arithmetic
Answers
Answer:
Sequence of arithmetic
Step-by-step explanation: An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.
does anyone know this.
i will give brainliest
Answers
Answer:
4.1 x 10^8
Step-by-step explanation:
Answer:
The answer for meters is 4.1 x 10^8 meters . There are 1000 millimeters in a meter, so the scientific notation is 4.1 x10^11 millimeters.
anyone know the answers for either one?
Answers
Answer:
nah
Step-by-step explanation:
but search up a tutorial that helps me