Answer:
12.12
Step-by-step explanation:
7^2+x^2=14^2, as by the Pythagorean theorem.
49+x^2=196,
x^2=147,
square root of 147;
it's close to 144,
thus, 12.12
Hello I would really appreciate if someone could help me with this math question. I’m so confused
Answer:
a. f = 17.5/c
b. 8.75 N
Step-by-step explanation:
(a)Inverse variation means one variable is proportional to the inverse of the other. The equation for that is ...
f = k(1/c) . . . . . . force (f) is proportional to the inverse of distance (c)
We find the value of k using data given for a specific instance.
3.5 N = k(1/(5 cm)) . . . . use the given values
17.5 N·cm = k . . . . . . multiply by the denominator
Then the equation of interest is ...
f = 17.5/c . . . . . . . where c is in cm, and f is in newtons
__
(b)Using the above equation, we find the force to be ...
f = 17.5/2 = 8.75 . . . . newtons
_____
Additional comment
We often look at several different kinds of proportionality:
y = kx . . . . directy = k(1/x) . . . . inversey = kx² . . . . proportional as the squarey = kx·z . . . . jointly proportional to x and zand there are combinations of these, such as ...
y = kr²h . . . . jointly proportional to h and the square of rYou may have noticed that when x and y are inversely proportional, their product is a constant. y = k/x ⇒ xy = k
__
We have left off the units of k in the problem above. Sometimes it is a good idea to retain them, or to pay close attention to what they are. This can avoid using the wrong measures for the variables.
f = (17.5 N·cm)/(2 cm) = 8.75 N . . . . . units of cm cancel
Use the proof above to answer the question: What reason can be used to prove that the triangles are congruent?
A. AAS B. ASA C. AAA D. SAS E. SSS
Answer:
E. SSS
Step-by-step explanation:
AB=BC (Given)
AD=CD (Midpoint)
BD=BD (common)
Therefore answer is : SSS
Help I don't understand this math. Whoever gets the right answer gets Brainlist! :)
Find the equation using this graph.
Answer:
the slope is 2
y=2x-1
Step-by-step explanation:
y(2)-y(1)/x(2)-x(1) is the formula for slope
-1-0/0-0.5=-1/0.5=2
however, it is looking for the equation
y=mx+b
(b=y intercept)
m=slope
y=2x-1
Answer:
Step-by-step explanation:
The equation of a line is y = m*x + b
So plug in the numbers...
the slope is the change in y over the change in x or (y - y₁)/(x - x₁)
(-1 - 0)/(0 - 0.5) = 2
so... m = 2
and b is the y-intercept which is -1
therefore the answer is: y = 2x - 1
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
( I have verified my answer on an online calculator)
Joanne earns $3,000 per month at her job at the department store. If her taxes are 28 percent of her pay, what is her monthly take-home pay?
The length of a rectangle is 8 more than the width. The area is 65 square centimeters. Find the length and width of the rectangle.
Answer: The width of the rectangle is 5 cm and the length is 13 cm
Step-by-step explanation:
Let the width be x cm
Let the length be (x+8) cm
Area = 65cm²
[tex]\Rightarrow x(x+8)=65 \ [\because$ Area of rectangle $=$ length $\times$ width $]$ \\$\Rightarrow x^{2}+8 x-65=0 \Rightarrow x^{2}+13 x-5 x-65=0$ \\$\Rightarrow x(x+13)-5(x+13)=0 \Rightarrow(x+13)(x-5)=0$ \\$\Rightarrow x=-13$ or $x=5$ \\But width car't be negative. so $x=5$ \\[/tex]
Therefore:
Width = 5 cm
Length = 5 + 8 = 13 cm
5>x/5
Show all work in steps
Answer:
[tex]\boxed{\sf{x < 25}}[/tex]Step-by-step explanation:
To find the value of x, isolate it on one side of the equation.
5>x/5First, you have to switch sides.
→ x/5<5
Then, you multiply by 5 from both sides.
→ 5x/5<5*5
Solve.
Multiply the numbers from left to right.
→ 5*5=25
→ x<25
Therefore, the solution is x<25, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
Answer:
25 > x
Step-by-step explanation:
[tex]5 > \frac{x}{5}[/tex]
To find the value of x, you have to multiply both sides by 5.
[tex]5*5 > \frac{x}{5}* 5[/tex]
[tex]25 > \frac{5x}{5}[/tex]
[tex]25 > x[/tex]
What are the sum of the interior angles in an irregular octagon?
Answer:
1080
Step-by-step explanation:
Use formula
Sum of in. angle=(n-2)*180
Answer:
1080°
Step-by-step explanation:
To find the sum of interior angles, use the formula: 180(n-2). Input '8' as 'n'.
180(8-2)
180(6)
1080°
Therefore, the sum of interior angles of an irregular octagon is 1080
How many metres are there in 2 kilometres?
Answer:
2000 metres
Step-by-step explanation:
1000 metres = 1 km
therefore, (1000×2) metres = 2 km
2000 metres = 2km
rena divides a square into 8 equal part. what unit fraction should she write as a label for each parts?
If rena divides a square into 8 equal part then 1/8 is a unit fraction which she has to write as a label for each parts.
What is Fraction?A fraction represents a part of a whole.
Given that rena divides a square into 8 equal part.
A division is a process of splitting a specific amount into equal parts.
Let the whole square is divided into eight equal parts.
Which can be represented by 1/8.
Where the numerator 1 represents the whole and eight represents the parts.
The unit fraction for each part is 1/8 because the square is divided into 8 equal parts.
This means each part is one eighth of the whole.
Hence, if rena divides a square into 8 equal part then 1/8 is a unit fraction which she has to write as a label for each parts.
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A,B,C,D are points on the circumference of a circle centre o
ed is a tangent to the circle
angle odb = 25
work out angle bad
The points A,B,C,D make up the circumference of the circle
The measure of angle BAD is 65 degrees
How to determine the measure of angle BAD?The measure of angle ODB is given as:
ODB = 25 degrees
Considering the triangle BOD, we have:
ODB + BOD + DBO = 180
Where:
ODB = DBO = 25
So, we have:
25 + BOD + 25 = 180
Solve for BOD
BOD = 130 degrees
The angle at an arc is twice the angle at the circumference.
So, we have:
BOD = 2 * BAD
Substitute 130 for BOD
130 = 2 * BAD
Divide both sides by 2
65 = BAD
Hence, the measure of angle BAD is 65 degrees
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Write an equation of the line that passes through (3, 1) and (0,10) .
y=
Answer:
Step-by-step explanation:
hello :
y = -3x+10
A chemist has three different acid solutions.
The first solution contains 15 % acid, the second contains 30 % acid, and the third contains 50 %
acid,
She created 78 liters of a 35 % acid mixture, using all three solutions. The number of liters of 50 %
solution used is 3 times the number of liters of 30 % solution used.
How many liters of each solution was used?
Answer:
Its 50 and it can reach 60
Mark stands at the intersection in observes if cars go left right or straight. After watching for a while, he recorded that 10 cars went straight for cars went left and six cars went right. Estimate the probability that the next car goes left then place the probability on the scale below. help me pls. I have way more packets and I need them done by tmr
Answer:
0.2
Step-by-step explanation:
Total number of cars: 10 + 4 + 6 = 20
Number of cars that turned left: 4
p(left) = 4/20 = 0.2
To place 0.2 on the scale, divide the segment from 0 to 1/2 into 5 equal parts, and place 0.2 on rthe second from the left.
For which values of x is the expression undefined
Answer:
7, -9
Reasoning:
When x is 7 or -9, the denominator equates to zero, making the expression undefined because nothing can be divided by zero.
What is 8 cm enlarged by a scale factor of 6.5
Answer:
8cm enlarged by a scale factor of 6.5 is 52cm I believe.
Step-by-step explanation:
8 times 6.5= 52cm
Graph the line with slope
2.
passing through the point (-3, 3).
3
1
?
13
The graph of the line with the given slope that passes through (-3, 3) is shown in the image attached below.
What is the Equation of a Line in Slope-intercept Form?The equation in slope-intercept form of a line, is y = mx + b, where:
b = y-intercept
m = slope = change in y/change in x.
Given a line with slope = 2 and passes through (-3, 3), plug in m = 2 and (a, b) = (-3, 3) into y - b = m(x - a) to write the equation of the line
y - 3 = 2(x - (-3))
Rewrite in slope-intercept form
y - 3 = 2x + 6
y = 2x + 6 - 3
y = 2x + 3
Therefore, the graph of the line with the given slope that passes through (-3, 3) is shown in the image attached below.
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Which coordinates best represents the vertex of the graph first correct answer gets Brianliest
Answer:
The vertex of the graph is:
the minimum point for a parabola that opens upwardsthe maximum point for a parabola that opens downwardsAs this parabola opens upwards, the vertex is the minimum point.
From inspection of the graph, vertex = (-3, -1)
Equation of the graph
From inspection we can see that the x-intercepts are when
x = -4 and x = -2
[tex]\sf x = -4 \implies x+4=0[/tex]
[tex]\sf x = -2 \implies x+2=0[/tex]
Therefore:
[tex]\sf y=(x+4)(x+2)[/tex]
Expand:
[tex]\sf \implies y=x^2+6x+8[/tex]
Answer:
[tex]B)f(x) = {x}^{2} + 6x + 8[/tex]
Step-by-step explanation:
Let [tex] f(x)=x^2[/tex] be the parent function. With transformation of function, firstly,we know that,
We can move it up or down by adding a constant to the y-valuealgebraically
g(x)=x²+CClearly, The parabola is moved down by 1 unit thus, C is -1. Therefore our function transforms to
f(x)=x²-1secondly, we know that,
We can move it left or right by adding a constant to the x-valuealgebraically,
g(x)=(x+C)²in case,
C is positive, g(x) moves to the left and vise versaSince the parabola is moved left by 3 unit, C is +3, and hence Our function eventually becomes
[tex]f(x) = (x + 3 {)}^{2} - 1[/tex]simplifying it yields:
[tex]\implies \boxed{f(x) = {x}^{2} + 6x + 8}[/tex]
Hence,B is our required answer
Question 8
1 pts
What is the best way to describe the central tendency of residential real estate prices in Westwood?
Hint: Westwood real estate is highly skewed. You are able to find houses that are $600,000 to
$69,000,000 with an average price of $1,020,000.
O Median
O Mean
The best way to describe the central tendency of residential real estate prices in Westwood is mean.
What are measures of central tendency?
A measure of central tendency attempts to describe a data set by determining the central value of the data set. Measures of central tendency are mean, median and mode
Mean is the average of a set of numbers.
Mean = sum of the numbers / total number
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I need to know the answer now please and thank you
Express 10/1,000 as a decimal
Answer:
0.01
Step-by-step explanation:
hope this helps -_-
The roof of one building is 400 feet below the roof of another building. A person standing on the lower roof sees another person standing on the higher roof at a 35o angle of elevation. Approximately how far apart are the buildings? Round to the nearest foot.
Since the roof of one building is 400 feet below the roof of another building, the buildings are 571 ft apart.
The required triangleThe line of sight of the lower building to the taller building, the distance of the buldings apart, D and the height of the lower building below the taller building, h form a right angled triangle with angle Ф = 35° = angle of elevation of taller building and opposite side, h.
From trigonometric ratios, we have that
tanФ = h/D
So, D = h/tanФ
Since
h = 400 ft and Ф = 35°,Distance of building apartSubstituting the values of the variables into the equation, we have
D = h/tanФ
D = 400 ft/tan35°
D = 400 ft/0.7002
D = 571.27 ft
D ≅ 571 ft to the nearest foot
So, the roof of one building is 400 feet below the roof of another building, the buildings are 571 ft apart.
Learn more about distance of building apart
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convert y = -0.5(x + 4)^2 - 2 standard form
Answer:
I think the answer is: y = 0.5x^2 + 4x + 6, <3
Step-by-step explanation:
write the ratio as a fraction in simplest form
Which of the following values in the set below will make the equation 4x + 2 = 18 true?
{0, 1, 2, 3,4}
^^ those are the input numbers
Answer:
4
Step-by-step explanation:
subtract 2 on both sides you will get 4x=16 because 18-2=16 then divide both sides by 4 to get ×=4
4x+2=18
-2. -2
4×=16
4. 4
x=4
I NEED HELP ON THIS QUESTION (I will give a Brainlist to the best one no links please.)
Answer:
1. 84.7
2. 24
3. 47.5
4. 57.5
Step-by-step explanation:
your welcome and mark as brainliest pls
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Step-by-step explanation:
y - x = 4x (vertically opposite angles)
y = 5x
4x+ y+x = 180
5x+5x = 180
x = 18
y = 90
I need help with a math problem.
Answer:
where is the problem?
What is the median for the following set of data?
4, 4, 6, 10, 12, 13, 15, 16
a 12
b 10
c 11
d 16
Answer:
C
Step-by-step explanation:
The median is where we find the number that is in the middle of the data set. In this case, there cannot be a single number in the middle because the number of numbers in this data is even.
Knowing this, we need to add the two numbers that are in the middle (10 and 12). We add these two numbers and divide them by 2
[tex]\frac{10+12}{2} =\frac{22}{2} =11[/tex]
100 apples in total, 65% are green, and 21% of the green apples have worms. how many apples have worms?
Answer:
14 apples are green with worms.
Step-by-step explanation:
100 apples right
65% are green
21% are green with worms
Imma pretend the first time you meant red ok....
sooo to solve this
.65*100=65 are red
.21*65=13.65 are green with worms
Solve using the square root property.X^2=-12
Answer:
x = ± 2i[tex]\sqrt{3}[/tex]
Step-by-step explanation:
note that [tex]\sqrt{-1}[/tex] = i
x² = - 12 ( take square root of both sides )
x = ± [tex]\sqrt{-12}[/tex] = ± [tex]\sqrt{4(3)(-1)}[/tex] = ± 2i[tex]\sqrt{3}[/tex]