Answer:
Step-by-step explanation:
1. a). Hypotenuse² = (Leg 1)² + (Leg 2)²
h² = 10² + 24²
h = √676
h = 26
(b). Hypotenuse² = (Leg 1)² + (Leg 2)²
(25)² = (15)² + (leg 2)²
Leg 2 = √(625 - 225)
= √400
= 20
(c). Hypotenuse² = (Leg 1)² + (Leg 2)²
h² = 4² + 6²
h = √(16 + 36)
h = √52
h = 2√13
(d). Hypotenuse² = (Leg 1)² + (Leg 2)²
(14)² = (Leg 1)² + 7²
Leg 1 = √(196 - 49)
= √147
= 7√3
2). Hypotenuse² = (Leg 1)² + (Leg 2)²
Leg 1 = leg 2 = 7 units [Since, triangle is an isosceles triangle]
h² = 7² + 7²
h = √98
h = 7√2
Option (1) is the correct option.
3). Hypotenuse² = (Leg 1)² + (Leg 2)²
(26)² = (Leg 1)² + (10)²
Leg 1 = √(676 - 100) = 24
Area of a right triangle = [tex]\frac{1}{2}(\text{Leg 1})(\text{Leg 2})[/tex]
= [tex]\frac{1}{2}(24)(10)[/tex]
= 120 square units
Option (3) is the correct option.
You are building a rock wall for a flower bed along your 46-foot long driveway. You want the wall to be one-half of the length of the driveway with an absolute deviation of at most 6 feet. Write and solve an absolute value inequality that represents the possible lengths of the wall.
Answer:
a. ║ x - 23 ║ ≤ 6 b. 17 ≤ x ≤ 29
Step-by-step explanation:
a. Let x be the length of the wall. Since the length of the wall is half the length of the drive way with an absolute deviation of 6 at most, since the drive way is 46 foot long, half of it is 46/2 = 23.
So, 23 ± 6 ≤ x or x - 23 ≤ ±6 or ║ x - 23 ║ ≤ 6
b. Solving the absolute value inequality,
-(x - 23) ≤ 6 and x - 23 ≤ 6
x - 23 ≥ 6 and x - 23 ≤ 6
x ≥ 23 - 6 and x ≤ 23 + 6
x ≥ 17 and x ≤ 29
So 17 ≤ x ≤ 29
(11y + 19) °
8x °
96 °
Answer:
lol 96
Step-by-step explanation:
Evaluate 1/3 divided by 1/2
Answer:
2/3
Step-by-step explanation:
1/3 x 2/1 = 2/3
Answer:
2/3
Step-by-step explanation:
so what you do is switch the numerators and deno. (1/3 1/2)turns into 3/1 and 2/1 you multiple both top and bottom numbers and boom!!
(simplify if need)
slove for x : 3x + 4 = 9x + 3
Answer:
x = 1/6
Step-by-step explanation:
3x + 4 = 9x + 3
3x + 1 = 9x
1 = 6x
1/6 = x
The legs of a right triangle measure 8 cm and 6 cm respectively. How long is the longest side of the triangle?
a.12
b.10
c.14
d.11
Answer:
b. 10
Step-by-step explanation:
Based on the Pythagoras Theorem, the longest side of a right-angled triangle is: [tex]\sqrt{a^{2}+b^{2} }[/tex] where a and b are the legs of the triangle.
Longest side of triangle = [tex]\sqrt{8^{2}+6^{2}}[/tex]
= [tex]\sqrt{64+36}[/tex]
= [tex]\sqrt{100}[/tex]
= 10
What is the rule used to transform ABC to its image
Answer:
we don't see an image?
Step-by-step explanation:
someone help ! WILL GIVE BRAINLIEST. pls answer correctly and don't troll...
f(x)=x^2-5x
f(4)=
Please help.!!
show work also
How many 4/5 Cup servings are in 2/5 of a cup of ice cream Is the simplest fraction form
yes.4/5=cannot simplify.2/5 can not simplify
PLSS HELP ME THE QUESTION AND EVERYTHING IS ABOVE what is the slope of the line and y intercept
Answer:
C
Step-by-step explanation:
It is C. Have a great day!
Kuri earns money by charging a fee to her clients. She charges $50 for the first hour she works as a tech support contractor. For each additional half-hour or part of a half-hour, kuri charges $20. In this situation
Answer:
yes that is right
Step-by-step explanation:
yes
PLEASE HELP WILL MARK BRAINLIEST
Answer:
4th and 5th
Step-by-step explanation:
5. Find the next three terms.
9, 12, 15, 18,...
Answer:
21,24,27,30
Step-by-step explanation:
hi there are some good times for me and said she would stay
Answer:
21,24,27
Step-by-step explanation:
Count by three.
I need help answering this please help
=================================================
Work Shown:
[tex]x = 27.2 \text{ cm}\\\\x = 27.2 \text{ cm} * \frac{1 \text{ inch}}{2.54 \text{ cm}}\\\\x = \frac{27.2}{2.54} \text{ inch}\\\\x \approx 10.7086614 \text{ inches}\\\\x \approx 10.7 \text{ inches}\\\\[/tex]
Effectively all we do is divide 27.2 over 2.54 to convert from cm to inches.
This means that 27.2 cm is roughly the same as 10.7 inches.
I rounded to one decimal place because 27.2 is to one decimal place. If your teacher says for you to round otherwise, then follow those instructions of course.
A password is 4 characters long, consisting of 2 letters and 2 numbers. The password must begin and end with a
letter. If numbers can be repeated but letters cannot, how many possibilities are there?
a. 65,000
b. 60,840
c. 58,500
d. 52,650
Answer:
a.
65,000
Step-by-step explanation:
There are 65000 possibilities of 4 character-password
What is a password?A password is a security code that is used for verifying identities
The password has 4 characters.
The password must begin and end with a letter.
So the selections are:
First = 26
Last = 25
The other selections are:
Second = 10 digits
Third = 10 digits
So, the number of password is:
Password = 26 * 10 * 10 * 25
Evaluate
Password = 65000
Hence, there are 65000 possibilities of 4 character-password
Read more about arrangements at:
https://brainly.com/question/6032811
BRAINLIEST!
find x and y
7x + y =-16 and -7x + y = -16
Answer:
x = 0, y= -16
Step-by-step explanation:
Okay, we can use elimination to do this. Add the two equations together to get rid of one of the variables. 7x and -7x cancel each other out, so we are left with y+y= -32. If y+y is -32, then y= -16. Let's plug that back one of the equations. I'll choose the first equation. 7x +(-16) = -16. We can simplify that to 7x - 16= -16. Okay, we add 16 to both sides which gets us 7x=0. From this, we can infer that x=0 because 0x7=0. Now we have the answer, x=0, and y= -16. I hope this helps!
Temperature Suppose there is a 1.7°F drop in temperature for every thousand feet that an
airplane climbs into the sky. If the temperature on the ground is 46.9°F, what will be the
temperature when the plane reaches an altitude of 9,000 ft?
The answer is 49.3
It right if this is the question your looking for I got the the Correct answer
Answer:
wrong the answer is 63.1
Step-by-step explanation:
YEEEEEEEEEEEEEEEEEEEEEEEET
Answer:
YEEEEEEEEEEEEEEEEEEEEEEEEEET!
Step-by-step explanation:
Help pls
This table represents a proportional relationship between x and y.
x 0 7 14 21
y 0 2 4 6
What is the constant of proportionality, k?
Enter your answer as a simplified fraction in the box.
k =
9514 1404 393
Answer:
k = 2/7
Step-by-step explanation:
The constant of proportionality is the value of k in the equation ...
y = kx
Solving for k gives ...
k = y/x
We can use any pair of (x, y) values from the table to find k. It usually works well to use the smallest non-zero values:
k = 2/7
Find the volume of the prism, using a calculator if necessary.
4 cm
9 cm
5 cm
5 cm
12 cm
Answer:
where is the drawing l don't understand the measurements
How far will a race car going 120 miles per hour travel in 3 hours
Answer:
360 miles
Step-by-step explanation:
to find the distance, multiply speed and time
120*3= 360
Can I have brainliest plz
Write the equation of the line perpendicular to the line 2x - 5y = 7 and passes through the point (2, -3) in slope-intercept form with no spaces.
The solution is. the equation of the line perpendicular to the line 2x - 5y = 7 and passes through the point (2, -3) in slope-intercept form with no spaces is : y = -5/2x + 2.
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
here, we have,
given that,
the line is:
5y = 2x - 7
y = 2/5x - 7/5
Slope = -5/2 (perpendicular)
Slope int. = y = mx + b
Y = -5/2x + b
-3 = -5/2(2) + b
-3 = -5 + b, b = 2
Solution: y = -5/2x + 2
Hence, The solution is. the equation of the line perpendicular to the line 2x - 5y = 7 and passes through the point (2, -3) in slope-intercept form with no spaces is : y = -5/2x + 2.
To learn more on Equation 0f Straight-Line click:
brainly.com/question/11116168
#SPJ3
200 students were surveyed on their favorite kinds of ads on tv shows. How many students chose other products?
Answer:
30
Step-by-step explanation:
brainliest plz
Please help with this
simplify the expression
2x (x - 6)
What is the value of s ?
Please help
No guessing
Answer:
s = 17Step-by-step explanation:
use Pythagorean theorem a² + b² = c²
where a = 8
b = 15
c = s (which is unknown)
plugin values into the formula:
a² + b² = c²
8² + 15² = s²
s = √(64 + 225)
s = √289
s = 17
Please help meeeeee!!!!
Answer:
x = 30
Step-by-step explanation:
As we know, the angles inside of a triangle added together all equal 180°, so you would combine 3x + 2x + x = 180°. And then from there you can solve.
3x + 2x + x = 180°
[Combine like terms] 6x = 180°
[Divide 6 from both sides of the equal sign] x = 30°
Hope this helps!!
I need help with this question please and thank you
d-13=5 is actually suppose to be solved liek this:
d - 13 = 5
+13 +13
The absoulte value of 13 is 13, it is negative so you have to add 13 to get to 0 so it can be cancelled out.
please help me with this question !!! I’m timed .(
Answer:
Its C
Step-by-step explanation:
C is the answer. it is timed and I am not a fast typer
Omar buys stuffed animals for $4 each. He sells them for $7 each. Is this a markup of markdown situation? What is the percent profit?
Answer:
Markup, 42% profit
Step-by-step explanation:
(someone check this)