1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lubasha [3.4K]
2 years ago
5

A ladder which is 6.7 m long is placed on the ground 2.8 m from a vertical wall and then leaned over to the wall. How high up th

e wall can the ladder reach? Give your answer rounded to 1 DP.
Mathematics
1 answer:
timofeeve [1]2 years ago
8 0

Answer:

6.1 m

Step-by-step explanation:

Always draw a diagram! And now pythagorean theorem. a^2 + b^2 = c^2

Substitution:

a^2 + 2.8^2 = 6.7^2

a^2 + 7.84 = 44.89

a^2 = 37.05

a = 6.086...

Rounding <u>up</u> to one decimal point, thats 6.1 m

You might be interested in
Is this equation possibale<br> 3+x=2-3x
Archy [21]
3-2= -3x-x
1 = -4x
x = -1/4

Yes it is possible
4 0
3 years ago
Read 2 more answers
Can you explain step by step for #15 and #16 I have a test on this tomorrow
RUDIKE [14]

Answer:

15.

\left\{\begin{array}{l}x+y=50\\0.2x+0.1y=6\end{array}\right.

16. 10 ml of 20% saline and 40 ml of 10% saline

Step-by-step explanation:

A chemist takes x ml of 20% saline and y ml of 10% saline. In total, he takes

x + y ml that is 50 ml, so

x + y = 50.

There are  0.2x ml of salt in x ml of 20% saline and 0.1y ml of salt in 10% saline. There are 0.12\cdot 50=6 ml of salt in 50 ml of 12% saline. Thus,

0.2x+0.1y=6

15. We get the system of two equations:

\left\{\begin{array}{l}x+y=50\\0.2x+0.1y=6\end{array}\right.

16. Solve this system. From the first equation:

x=50-y

Substitute it into the second equation:

0.2(50-y)+0.1y=6\\ \\10-0.2y+0.1y=6\\ \\-0.1y=6-10\\ \\-0.1y=-4\\ \\y=40\\ \\x=50-y=50-40=10

7 0
3 years ago
Help..idk how to do algabra. i didn't pay attention..
kotegsom [21]
Start with 3 one-by-one squares. This represents the '3' in 4t+3

Then draw 4 rectangles that are vertical or horizontal. Make sure the rectangle is longer than it is wide, or vice versa. The longer side is t units long (t is just a placeholder for a number). The shorter side is 1 unit long

The longer thin rectangles have an area of 1*t = t square units. Four of them represent t+t+t+t = 4*t = 4t
The small squares have an area of 1*1 = 1. Three of them represent 1+1+1 = 1*3 = 3

This is one possible way to draw it out. See the attached drawing. 

4 0
3 years ago
Which of the following is a solution of x2 + 6x = −18?
Rus_ich [418]
X= 9/4 i think i dont know
6 0
3 years ago
Determine algebraically all points where the graphs of XY equal 10 and Y equals X +3 intersect
Gelneren [198K]
XY=10
Y=X+3
X(X+3)=10
X^2+3X=10
X^2+3X-10
(X-2)(X+5)
6 0
3 years ago
Other questions:
  • Which equation has the steepest graph
    9·1 answer
  • An anthropologist has uncovered a ruin with many ancient artifacts. He plans on giving them to a museum that already has a colle
    9·2 answers
  • In a hospital, there are 250 registered nurses. 100 of the nurses are males. What is the ratio of male nurses to female nurses i
    7·2 answers
  • X+Y-Z=19<br> 2X-3Y+Z=13<br> 3X-5Y-6Z=-15
    6·1 answer
  • in a survey four out of seven people named blue as their favorite color. One out of three named red.If 1,092 people were include
    9·1 answer
  • What is the value of x?
    7·1 answer
  • A juice company did a survey among 100 customers to find their juice preferences. The customers were asked about their preferenc
    10·1 answer
  • The graph of 2 x − 5 y = 10 is shown on the grid. Which ordered pair is in the solution set of 2 x − 5 y ≥ 10?
    11·1 answer
  • Choose the expression which represents the phrase, “the sum of 12 and a number H”
    9·2 answers
  • Add 3 feet 6 in add 3 feet 6 in + 8 ft 2 in + 4in + 2ft 5in what does that add up to ​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!