in triangel abc line segmemt cd is an altitude, such that ad=bc. find ac if ab=3cm and cd =sqrt2
Answers
Answer:
√7
Step-by-step explanation:
Let :
AC = x
BD = y ; AD = 3 - y
Since, AD = BC
Then BC = 3 - y
Taking △BDC a d applying Pythagoras
Hypotenus² = opposite² + adjacent²
BC² = CD² + BD²
(3 - y)² = (√3)² + y²
9 - 6y + y² = 3 + y²
-6y + y² - y² = 3 - 9
-6y = - 6
y = 1
AD = 3 - y ; AD = 3 - 1 = 2
Taking △ADC
AC² = CD² + AD²
AC² = (√3)² + 2²
AC² = 3 + 4
AC² = 7
AC = √7
Related Questions
A line of best fit must pass through all data points of a graph.
True or False?
Answers
The number of days (d) is equal
to the quotient of the number of
hours (h) and 24.
A. d = h - 24
B. h = 24 d
C. h = 24 h
D. h = 24 + h
Answers
Answer:
B
Step-by-step explanation:
[tex]d \: = \frac{h}{24} [/tex]
make h the subject of the formula
h = 24 d
This table shows information about two occupations.
SmartScore
out of 100 G
Carpenter
Carpenters use woodworking
equipment to construct building
frameworks and other structures out
of wood.
Interior designer
Interior designers determine
how interior spaces will
function, look, and be
furnished
0
Description
Bachelor's degree, with
coursework in interior design
Typical
High school diploma, but most
education
complete an apprenticeship
required
Median income $46,500 per year
$53,500 per year
In which occupation would you have a higher risk of getting an injury from a sharp object?
carpenter
interior designer
T
(0)
RE
Answers
yes it can be possible to do
can someone please solve 3x^2+4x-7<13
Answers
Answer:
-10/3 < x < 2
so the answer is x<-10/3 or x>2
Step-by-step explanation:
:)
help help help help it is little simple
Answers
3x ² - 2x + 1 = 2x ² - 3x + 7
x ² + x - 6 = 0
(x + 3) (x - 2) = 0
x + 3 = 0 or x - 2 = 0
x = -3 or x = 2
find the range of the function y = -x^(2) + 1
y ≤ -1
y ≥ -1
y ≤ 1
y ≥ 1
Answers
Answer:
C
Step-by-step explanation:
y=-x^2+1. y is a decreasing function as x^2 is an increasing function
A knight traveled on his horse from one kingdom to another for 2 days. The first day he rode at a speed of 20 mph, and the second day he rode at a speed of 30 mph. If he traveled exactly the same amount of time each day and went 800 miles, find how many hours it took the knight to travel from one kingdom to another.
Answers
Answer:
Step-by-step explanation:
That was some horse.
20*t + 30*t = 800 Each day he rode the same amount of time (t). On the first day, he rode a distance of 20*t. On the second day, he rode a distance of 30*t
50t = 800
t = 800/50
t = 16
Each day he rode 16 hours
Total time = 32 hours.
Answer:
32 hours
Step-by-step explanation:
what is rational number and arithmetic number
Answers
[tex] \huge \mathtt \blue{answer}[/tex]
Here, “p” is a numerator and “q” is a denominator. The examples of rational numbers are 6/5, 10/7, and so on. The rational number is represented using the letter “Q”. Like real numbers, the arithmetic operations, such as addition, subtraction, multiplication, and division are applicable to the rational numbers.
Can anyone assist me with this problem ?
Answers
Answer,
C
Step-by-step explanation:
I had the same question 2 days ago
I NEEEDDDD HELPPPP ITS URGENTTTTT!!!!!
Answers
Answer:
(x-3)^2+(y-16)^2=9
Step-by-step explanation:
Answer:
The answer is 9
Step-by-step explanation:
(x-3)^2+(y-16)^2=9
Hope this helps :)
Write the slope-intercept form of the equation of the line described. Through (-1,-1) parallel to y=6x-2
Answers
Answer:
[tex]\boxed {\boxed {\sf y= 6x+5}}[/tex]
Step-by-step explanation:
We are asked to find the slope-intercept equation of a line. Slope-intercept form is one way to write the equation of a line. It is:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
We are given a point (-1, -1) and the line is parallel to the line y= 6x-2. Since the line is parallel to the other line, they have the same slope, which is 6. We have a point and a slope, so we should use the point-slope formula to find the equation of the line.
[tex]y-y_1= m (x-x_1)[/tex]
Here, m is the slope and (x₁, y₁) is the point. We know the slope is 6 and the point is (-1, -1). Therefore:
m= 6x₁= -1y₁= -1Substitute the values into the formula.
[tex]y- -1 = 6(x- -1) \\y+1= 6(x+1)[/tex]
Distribute the 6. Multiply each value inside the parentheses by 6.
[tex]y+1 = (6*x)+ (6*1) \\y+1= 6x+6[/tex]
Slope-intercept form requires y to be isolated. 1 is being added to y. The inverse of addition is subtraction. Subtract 1 from both sides.
[tex]y+1-1=6x+6-1 \\y= 6x+5[/tex]
The equation of the line in slope-intercept form is y=6x+5
Please please please help!!!!
Answers
======================================================
Explanation:
The rule we use is
a^b * a^c = a^(b + c)
This says that if we multiply exponential expressions with the same base, then we add the exponents. We keep the base the same the entire time.
For example, 2^3*2^4 = 2^(3+4) = 2^7
--------------
For this problem, we'll say,
5^(56)*5^(22)*5^(-96)
5^( 56+22+(-96) )
5^(-18)
Be sure that you use parenthesis so that you tell your teacher that all of the -18 is in the exponent. Saying 5^-18 could lead to ambiguity.
Answer:
sorry it he question isn't clear
Please help me with this question please help me rn
Answers
Answer:
Check the explanation for the answer please. Thank you!
Step-by-step explanation:
a. Nina is correct, because the formula P = 2l + 2w would be a correct perimeter formula. Alexander, however, is wrong, because the formula P = 2(l + w) would be an incorrect perimeter formula.
b. P = L + L + W + W would be another correct perimeter formula, as it is the same thing to P = 2l + 2w.
c. One reason the paint was empty after their calculations were correct would be because of their argument before determining the perimeter amount of paint that they need. Another reason the paint was empty after their calculations were correct was because of the fact that they probably don't know how to perfectly do the paint within the perimeter. [I might be wrong about this, but it should be an opinion question anyway.] DO NOT WRITE/TYPE THE PARENTHESIS INTO THIS PROBLEM!!!
Hope this helped!
If PQRS is a parallelogram, what is the value of y
S11R13P11
A. 44
B. 60
C. 52
D. 26
E. 48
F. Cannot be determined
HELLPPPPPP
Answers
Answer:
C.52
Step-by-step explanation:
In a parallelograms opposite sides are congruent
This means that side SP = side RQ as they are opposites
Hence 1/4y = 13
Note that we've just created an equation that we can use to solve for y.
We now solve for y algebraically using the equation we've just created
1/4y = 13
Divide both sides by 1/4
1/4y / 1/4 = y
13 / 1/4 = 52
We're left with y = 52
If PQRS is a parallelogram, the value of y in the parallelogram PQRS is 52. Therefore, option C, 52, is the correct answer.
To find the value of y in the parallelogram PQRS, we can use the properties of parallelograms.
In a parallelogram, opposite sides are equal in length. Therefore, PQ is equal to RS, and QR is equal to SP.
Given that PQ = 11 and RS = 11, we can conclude that QR = SP.
Substituting the given values, we have:
1/4 y = 13
To isolate y, we multiply both sides of the equation by 4:
4 * (1/4 y) = 4 * 13
This simplifies to:
y = 52
Using the property of a parallelogram where opposite sides are equal, we determine that QR is equal to SP. Substituting the given values, we find that 1/4 y is equal to 13. By multiplying both sides of the equation by 4, we isolate y and find that its value is 52.
Therefore, option C, 52, is the correct answer.
To learn more about parallelogram click on,
https://brainly.com/question/9147268
#SPJ2
Can someone help me I need it.
Answers
Answer:
C is the answer 3rd one...
the slope of a line is 2. the y-intercept of the line is -6. which statements accurately describe how to graph the function
Answers
Step 1: Determine the ordered pair
To start off, let’s find the ordered pair. This will eliminate two of the options; two of the potential answers state that the ordered pair is (0,-6), while the other two say that it is (-6,0).
To find the ordered pair, let’s look at the y-intercept. We are told that it is -6. This means that the point on the y-axis is -6, while the x-axis will remain at 0. Let’s put this information into a point, with 0 as x and -6 as y. This will be (0, -6).
Now that we know that (0, -6) is the ordered pair, we know to eliminate options 3 and 4. This leaves us with only options 1 and 2 as potential answers.
Step 2: Determine how to find slope
The final thing we need to do is determine how to find the slope. We are told that the slope is 2, but the two answers we have left ask us to explain how to proceed. We could either move up 2 and over 1 on the right, or move up 2 and over 1 on the left.
To find this, let’s examine the slope. As you may know, points on the graph go left if the slope is negative, and points on the graph to right is the slope is positive.
Since our slope is positive. We will go up 2 and over 1. This will bring us our final answer by eliminating option 2. Option 1 is our answer!!
Step 3: Write out final answer
Now that we eliminated all the invalid options, let’s write out our final option as our answer.
Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line.
Hope this helps! Comment below for more questions.
i need help and nobody's helping me :(
Answers
The bottom part of both shapes have a number so let’s use those.
The numbers (in ratio form) are 8:24
The GCF (greatest common factor) that goes into both numbers is 8.
So divide each side by 8 (8 divided by 8 and 24 divided by 8)
Now you have 1:3. (Again, in ratio form)
This is your scale factor.
So in the top box put 1 and the bottom box put 3
SCALE FACTOR 1:3
A lifting tackle consist of 2 pulley b lock containing 2 and 3 pulley respectively. How mu;st this tackle be use to bbtain the greatest VR? What is the value of this VR?
Answers
Answer:
[tex]VR=5[/tex]
Step-by-step explanation:
From the question we are told that:
No of Pulleys =5
Generally Greatest VR is achieved if it has no friction to the pulleys
Therefore
[tex]W=5P[/tex]
Generally the equation for Efficiency is mathematically given by
[tex]n=\frac{MA}{VR}[/tex]
Where
MA=mechanical advantage
Therefore at Greatest VR
[tex]n=100 \%[/tex]
[tex]MA=VR[/tex]
[tex]VR=\frac{W}{P}[/tex]
[tex]\frac{W}{P}=5[/tex]
[tex]VR=5[/tex]
What is the inverse of the function y=-8x+15?
Answers
Answer:
y = (x-15)/-8
Step-by-step explanation:
When solving for an inverse function, swap x and y without bringing the x coefficient with it, just simply swap the variables. Then, solve for y, and that's it.
y = -8x + 15
x = -8y + 15
x-15 = -8y
(x-15)/-8 = y
Step-by-step explanation:
Hey there!
Given function is: y = -8x + 15
~ Interchange"X" and "y".
x = -8y + 15
~ Solve it
8y = 15-x
y = (15-x)/8
Therefore, the inverse of function is y = (15-x)/8.
Hope it helps!
which of the following is the x-coordinate of the solution to the system shown below
2x + y = 17
x - y = 4
———————————————
(1) x = 5
(2) x = 2
(3) x = 7
(4) x = 12
thank you in advance to ANYONE who answers this question:)))
Answers
if u plug in 7 in the second expression, we can get 7 - y = 4, isolate y and then we get 3.
Now, plug in 7 in the first equation to get 2(7) + y = 17. that results to 14 + y = 17. isolate y again and then thats also 3.
so:
x = 7
y = 3
Answer:
Step-by-step explanation:
AC. DF, and GI are parallel. Use the figure to complete the proportion.
AD/DG = ?/EH
Answers
Answer:
BE.
Step-by-step explanation:
If AD is to DG, then BE must be to EH, and CF must be to FI.
Kristi finds a shirt for $27.99 at the store.
The sign says that it is 25% off the
original price. Kristi must also pay the 8.5%
sales tax. What is the cost of the shirt
after the sales tax?
Answers
Answer:
Kristi will pay $22.77 for the shirt.
Step-by-step explanation:
First, determine the sales price of the shirt. If the full price is $27.99, a 25% reduction is $7. Subtract the discount from the full price to get a sales price of $20.99 for the shirt.
Next, determine the amount of tax Kristi will pay for the shirt. In her state, the sales tax is 8.5% (0.085). Multiply $20.99 by 0.085 and you will see that the sales tax is $1.78. Add the amount of the tax, $1.78, to the sales price of the shirt, $20.99, and you will get $22.77 as the cost of the shirt after the sales tax is added.
x + a = 10 . Find the vale of x if a = 10.
Answers
Answer:
x = 0
Step-by-step explanation:
a = 10
=> x + a = 10
=> x + 10 = 10
=> x = 10 - 10
=> x = 0
Given the slope of y+2=3(x-7) and a point on the line
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
m = 3
(7, -2)
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
The equation given is in point-slope form.
⸻⸻⸻⸻
[tex]y - y_1 = m(x-x_1)\\\\m-\text{slope}\\\\(x_1,y_1)-\text{point}[/tex]
⸻⸻⸻⸻
The '3' is in the 'm' spot.
The y value is '-2', (y -(-2)) and the 'x' value is 7.
The point of the line is (7, -2) and the slope is 3.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
The area of a parallelogram is 64 m2. If a diagonal divides the parallelogram into 2 triangles, what is the area of 1 of the triangles?
a. 4 m2
b. 128 m2
c. 32 m2
d. 8 m2
Answers
Answer:
[tex]32\:\mathrm{m^2}[/tex]
Step-by-step explanation:
When cut by a diagonal, the parallelogram will be divided into two congruent triangles. By definition, congruent polygons have equal areas. Therefore, let the area of each of the triangle be [tex]x[/tex]:
[tex]x+x=64,\\2x=64,\\x=\frac{64}{2}=\boxed{32\:\mathrm{m^2}}[/tex]
A cabinet maker used 2.8 gallons of varnish on 8 cabinet doors. At this rate, how many gallons of varnish are required for 60 cabinet doors?
Answers
Answer:
21
Step-by-step explanation:
2.8 for 8 means a ratio of
2.8/8
now we need to transform this ratio to show x/60.
for that we need to multiply the numerator and the denominator with the same factor.
which factor ?
well, the one turning 8 into 60.
so,
8×f = 60
f = 60/8 = 15/2 = 7.5
so,
x = 2.8 × 7.5 = 21
he will need 22 gains for 60 doors.
(-32ux+19u^2x^3-12u^6x^7) divided by (-4u^2x^3)
Answers
Answer:
\left(-32ux+19u^2x^3-12u^6x^7\right)\:divided\:by\:\left(-4u^2x^3\right)
Step-by-step explanation:
Factor the numerator and denominator and cancel the common factors.
\frac{8}{ux^2}\:-\frac{19}{4}+3u^4x^4
Calculate the next 3 terms and write the formula for the nth term for the following sequences. 24,11,-2
Answers
Answer:
next 3 terms are -15, -28, -41. The formula would be n= (n-1)-13 to get the nth term
Step-by-step explanation:
Factorise x²-5 please
Answers
[tex]\sf \: {x}^{2} - 5[/tex]
[tex]\sf \: Use \: the \: algebraic \: identity \\ \sf \: a {}^{2} - {b}^{2} = (a - b)(a + b)[/tex]
[tex]\sf \: Substitute \: the \: value \: of \: a \: and \: b \: in \: the \: identity.[/tex]
[tex]\sf \: a = \sqrt{x ^{2} } = x \\ \sf \: b = \sqrt{5} [/tex]
[tex]\sf \: the \: identity \: becomes \: [/tex]
[tex]\sf {x}^{2} - 5 \\ \sf = (x - \sqrt{5} )(x + \sqrt{5} ) \\ [/tex]
Answer ⟶ [tex]\boxed{\bf{(x - \sqrt{5} )(x + \sqrt{5} )}}[/tex]
Decrease £180 by 12.5%
Answers
Answer:
£ 157.5
Step-by-step explanation:
12.5 × 180 = 22.5
100
180 - 22.5 = 157.5
I hope this helps.
