The side lengths for the triangle are given as follows:
AC = 12.4.AB = 5.BC = 10.How to calculate the distance between two points?Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].
The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Then the length AC is given as follows:
[tex]AC = \sqrt{(5 - (-7))^2 + (0 - 3)^2}[/tex]
AC = 12.4.
The length AB is given as follows:
[tex]AB = \sqrt{(-3 - (-7))^2 + (6 - 3)^2}[/tex]
AB = 5.
The length BC is given as follows:
[tex]BC = \sqrt{(5 - (-3))^2 + (6 - 0)^2}[/tex]
BC = 10.
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CAN ANYONE PLEASE HELP IVE GOTTEN NONE AND WILL FAIL IF I DONT GET ANY
A ball is thrown into the air with an initial velocity of 30 meters per second.
The quadratic function h(t) = −4.9t^2 + 30t + 10 represents the height of
the ball above the ground, in meters, with respect to time t, in seconds.
Determine h(3) and explain what it represents.
Answer:
55.9
Step-by-step explanation:
The ball takes 3 seconds to go up 55.9 meters.
3^2=9
-4.9 x 9 = -44.1
30 x 3 = 90
-44.1 + 90 = 45.9
45.9 + 10 = 55.9
help me on this.
what can be used in step 3?
Step-by-step explanation:
answer is been attached, hope u understand
f(x)=2x^2-5 g(x)=5x+7
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Rosa bought 90 feet of rope for $20.70. She needs 50 more feet. If the unit price is the same, how much will she pay for the extra 50 feet of rope?
Answer:
she will pay 11.50 for the extra rope
Tell whether the line or segment is best described as a radius, chord, diameter, secant, or tangent of ⨀P
Answer:
Chord: Secant: Tangent: Radius: Diameter: Using String to Draw a Circle Tell whether the line, ray, or segment is best described as and the radius and the diameter as lengths. P secant point of tangency tangent.
Elena finds that the length of a house on a scale drawing is 5 inches. The actual length of the house is 45 feet. What is the scale of the drawing?
Answer:
81 is the scale of the drawing.
Step-by-step explanation:
complete the number sentence to solve 9 boys share 7 pizzas equally how many pizzas does each boy get
Answer:
Well theyd fight over who got the last slice and probably end up dropping it
Step-by-step explanation:
the actual answer is 4/9 of each pizza
Answer:
4/9
Step-by-step explanation:
hope this helps
Daniel want to know the volume of his cube, he notices that the cube has 1/5 centimeters side length, what is the volume of the cube?
Answer:
1/125 cm^3
Step-by-step explanation:
Volume of a cube = L^3
L is the side length of the cube
Given
L = 1/5 cm
Volume of the cube = (1/5)^3
Volume of the cube = 1/125
Hence the volume of the cube is 1/125 cm^3
What is the value of x?
3
4
6
8
A bucket that has a mass of 20 kg when filled with sand needs to be lifted to the top of a 10 meter tall building. You have a rope that has a mass of 0.4 kg/m that must be secured to the bucket. It takes 1 meter of rope to secure the bucket. Once the bucket reaches the top of the building it only has mass 16 kg because there was a hole in the bottom and sand was leaking out at a constant rate while it was being lifted to the top of the building.
Find the work done lifting the bucket (sand and rope) to the top of the building.
Answer:
W=2001.24 newton meters
Caution: check units and arithmetic - I often make errors.
Step-by-step explanation:
Work is force times distance.
Denote height by h where h=0 is at ground level.
Denote the mass of the bucket and rope at height h by m(h).
The rate at which the bucket loses mass with height is (20-16)/10=0.4 kg/m
The rate at which the rope between the bucket and the top of the building loses mass is 0.4 kg/m
The initial mass of the bucket and rope is
[tex]m_{0}=20+0.4+0.4(10)=24.4[/tex]
The mass at height h is
[tex]m(h)=24.4-0.8h[/tex]
The force required at height h is
m(h)g
where g is the gravitational acceleration.
g=9.81 meters/sec/sec
The work required is
[tex]\int\limits^b_a {m(h)g} \, dh[/tex]
Where a=0 and b=10
[tex]g\int\limits^b_a {(24.4-0.8h)} \, dh=g(24.4h-0.4h^2)\left \{ {{10} \atop {0}} \right.[/tex]
g(244-40)=204g
W=2001.24 newton meters
what is the area of a parallelogram that has a base of 8yd and a height of 4yd?
Answer:
32yd²
Step-by-step explanation:
A=bh=8·4=32yd²
It would be helpful if you can help me with this!
Your uncle is 2 years older than 3 times your age
You are 12 years old. How old is your uncle?
(Look at the picture)
If you toss five fair coins, in how many ways can you obtain at least one head?
Select one:
a. 15
О
b. 31
O
c. 16
d. 32
Answer:
31
Step-by-step explanation:
Plz mark brainliest :D
two step equations 12=18-d
Answer:
In this exercise, you need to get d:
12 = 18 - d
What we can do is substracting 18 in both sides:
12 - 18 = 18 - 18 - d
-6 = -d
And then, we can say that d = 6..
lets simplify
a. 4x²×3x
_____
6x²
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Urgently need help please . Thanks
Answer:
224 feet^3
Step-by-step explanation:
Cube -> Volume = 4×7×7 = 196 feet^3
Prism -> Volume = 2×7×2 = 28 feet^3
196+28=224
Explain why it is correct to claim that A/B < B/A is true.
Given: 0 < A < B
I don't know how to explain this
Answer:
Think of it as a small number and a large number. If the large number is being divided by a small number, of course that would be larger than the small number being divided by the large number.
The statement /B < B/A is true if the 0 < A < B because the denominator is small so the value of B/A is larger.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
A/B < B/A
If you use the principle that the fraction must not be incorrect and have the value A/B1 (i.e., A and B are both positive), then this is true for positive values.
If A/B = 2/3
Then B/A = 3/2
If A/B < B/A
2/3 < 3/2 (True) if 0 < A < B
5/7 < 7/5 (true) if 0 < A < B
Thus, the statement /B < B/A is true if the 0 < A < B because the denominator is small so the value of B/A is larger.
Learn more about the inequality here:
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Express 0.123123123123123.
as a fraction.
Answer: That's almost impossible because the only way that can be a fracion is this 12312312312312/100000000000000
Step-by-step explanation:
Consider the function f(x) =
9-x²/x² - 4
For which intervals is f(x) positive? Check all that apply.
1 (-00, -3) )
(-3, -2)
0 (-2, 2)
(2,3)
(00, 3)
Answer:
a c
Step-by-step explanation:
3 cos 2x + Sinx = 1 for
0° ≤x ≤ 360
Answer:
x = 41.81°, 138.19°, 210°, 330°
Explanation:
3cos(2x) + sin(x) = 1
subtract one from both sides
→ 3cos(2x) + sin(x) − 1 = 0
rewrite using trigonometry identities
→ 2 + sin(x) − 6sin²(x) = 0
solve x by substitution
f(x) = 2 + sin(x) − 6sin²(x)
= 2 + 4sin(x) - 3sin(x) − 6sin²(x)
= −2sinx(3sinx −2) − (3sinx−2)
= (3sinx −2)(−2sinx−1)
= −(3sinx −2)(2sinx+1)
f(x) = 2 + sin(x) − 6sin²(x) = 0
= −(3sinx −2)(2sinx+1) = 0
(3sinx −2) = 0 (2sinx+1) = 0
→sinx = 2/3 →sinx = −1/2
x = 41.81°, 138.19° x = 210°, 330°
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I would I simplify this ?
What is the value for x
What is the value for y
Answer:
y=155, x=65
Step-by-step explanation:
y+25=180
y=155
y=90+x
155=90+x
x=65
if my answer helped please mark as brainliest.
The required measure of angles x and y are 65° and 155° respectively.
Following the given figure, to determine the value of y and x.
In the figure angles y and 25° are supplementary angles, while x, 90°, and 25° are the angles of a triangle.
To determine y, follow the property of supplementary angle:
y + 25 = 180
y = 180 - 25
y = 155°
To determine x, follow the property of the triangle,
x + 90 + 25 = 180
x = 90 - 25
x = 65
Thus, the required measure of angles x and y are 65° and 155° respectively.
Learn more about angles here:
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1.
2.
4.5 4
X 6
answer
bobo gago
Answer:
4.54 x 6 = 27.24
Step-by-step explanation:
Your question is kind of confusing but I suppose you mean: 4.54 x 6. The answer to that is 27.24.
the equations are
option 1. y= -3x+5
option 2. y= -1/3x+5
option 3. y= -3x-5
option 4. y= 1/3x+5
Answer:
option one
Step-by-step explanation:
the y intercept is at 5 and the slope is change in y over change in x and as y goes down 3 x goes up 1. -3/1=-3
find the sum of the term 8ab,- 11ab, 6ab
Answer:
do you mean 8ab-11ab+6ab
if it is then ur ans is 3ab
which is larger 4.5 or 9/2
Answer:
Both are equal
4.5 = 9/2
4.5 = 4.5
Hope it will help :)
Answer:
They are equal
Step-by-step explanation:
When we simplify 9/2 and divide, we get the answer 4.5, which is equal to 4.5. Therefore, neither number is larger and they are equal, just written in different ways.
I hope this helps!
WILL MARK BRAINLIEST!!!
PLEASE HELP!
Using the distributive property of multiplication over addition, we can factor as in xyx(xy).
Use the distributive property and other multiplication properties to factor each of the following expressions.
a. xy+y^2=
b. xy+x=
c. a^2b+ab^2
a. xy + [tex]y^{2}[/tex] = y ( x + y)
b. xy + x = x(y + 1)
c. [tex]a^{2b} + ab^{2}[/tex] = a ( [tex]a^{2b-1}[/tex] + [tex]b^{2}[/tex])
Find the perimeter and area of a rectangle of cardboard measuring 14.1 cm by 6.5 cm
Answer:
perimeters =41.2
area=91.65
Step-by-step explanation:
rectangle Perimeter(p) Area (A)
L=length 2 (L+W) L×W
W=width
Answer:
14.1*6.5= your area
6.5+6.5+14.1+14.1=perimeter
Step-by-step explanation:
hope this helps!
resiprocal of (-3/7)^2!
Answer:
[tex]\frac{49}{9}[/tex]
Step-by-step explanation:
Given
[tex](\frac{-3}{7})^{2!}[/tex]
Required
Determine the reciprocal
If a number is x, the reciprocal is: 1/x
So, the reciprocal of [tex](\frac{-3}{7})^{2!}[/tex] is:
[tex]\frac{1}{(\frac{-3}{7})^{2!}}[/tex]
[tex]2! = 2*1 =2[/tex]
So, we have:
[tex]\frac{1}{(\frac{-3}{7})^{2}}[/tex]
[tex]\frac{1}{(\frac{-3^{2}}{7^{2}})}[/tex]
Evaluate all exponents
[tex]\frac{1}{(\frac{9}{49})}[/tex]
Take inverse of 9/49
[tex]\frac{49}{9}[/tex]
Hence, the reciprocal of [tex](\frac{-3}{7})^{2!}[/tex] is [tex]\frac{49}{9}[/tex]
A farmer created a corn maze. He charged $5 to run through the maze. Some of the trails led to winning a cash prize of $30. Make a tree diagram to show for your own reference......make sure it has: all the "group possible" paths customers might take, entering the maze on the upper, middle, or lower path and proceeding to an exit with or without a pumpkin (at each fork in the maze a person is equally likely to take any path. Finally, find the EXPECTED VALUE of playing this game.
A) $.50
B) $1.50
C) $2.50
D) $3.50