Answer:
2/3
Step-by-step explanation:
Distance MS = √[(6-(-3))²+(3-3)²]= 9
Distance M'S' = √[(4-(-2))²+(2-2)²] =6
scale factor = |M'S'| /|MS|= 6/9 = 2/3
If you compare the red triangle to the blue triangle are the figures similar, congruent, neither, or it is impossible to tell?
Answer:
Congruent
Step-by-step explanation:
Congruent figures are all figures that have the same number of sides, with the same length, and the angles between the sides have the same values.
Answer:
Congruent
Step-by-step explanation:
Solve the following system of equations using any method you want.
y + 2x = 2
2x - 5y = 14 please help
Answer:
y = - 2, x = 2
Step-by-step explanation:
Remove x and solve for y
2x - 2x - 5y - y = 12
-6y = 12
y = - 2
Substitute y back into the equation
-2 + 2x = 2
2x = 4
x = 2
5. 105 is how many times as large as 1 · 10?
Circle O has a circumference of approximately 28.3 cm. What is the approximate
length of the radius?
Answer:
4.5 cm
Step-by-step explanation:
The circumference of a circle is given by
C = 2*pi*r where r is the radius
28.3 = 2 * (3.14) *r
28.3 = 6.28 r
Divide each side by 6.28
28.3/6.28 = r
4.506369427=r
The approximate length of the radius is 4.5 cm
Evaluate 3a + b to the second power if a=2 and b=3
PS : can you help me with 1, 2 and 3 ?!
Answer:
1. 3
2. 3
3. 15
Step-by-step explanation:
Please help don’t get it
Answer:
not sure but I think it goes something like this
1. 10+10+10=30
2. 1+1+10=12
3. 1+1+3=5
4. 3•2+10=16
Step-by-step explanation:
why 3•2? because there is only one taco so 3 and there are two carrots (each carrot =1, each taco = 3) so 2.
Solve by completing the square:
x2 + 3x – 9 = 0
Answer:
Step-by-step explanation:
x = 9/5
The solution of the equation [tex]x^2 + 3x - 9 = 0[/tex] by completing the square would be [tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex].
Used the concept of a quadratic equation that states,
An algebraic equation with the second degree of the variable is called a Quadratic equation.
Given that the equation is,
[tex]x^2 + 3x - 9 = 0[/tex]
Now completing the square as
[tex]x^2 + 3x - 9 = 0[/tex]
Add and subtract by 9/4,
[tex]x^2 + 3x + \dfrac{9}{4} - \dfrac{9}{4} - 9 = 0[/tex]
[tex]x^2 + 3x + ( \dfrac{3}{2})^2 - \dfrac{9}{4} - 9 = 0[/tex]
[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{9}{4}+ 9) = 0[/tex]
[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{45}{4}) = 0[/tex]
[tex](x + \dfrac{3}{2} )^2 = ( \dfrac{45}{4})[/tex]
Taking square root on both sides,
[tex](x + \dfrac{3}{2} ) = \pm ( \dfrac{\sqrt{45}}{2})[/tex]
Therefore, the solution of an equation is,
[tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex]
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Write the following number in scientific notation:
0.0000487
Answer:
4.87 × 10-5
Step-by-step explanation:
Hopes this helps.
The answer is 4.87 x 10^-5
for a special 16 sided die, what is the theoretical probability for rolling a number less than 9?
Answer:
8/16
Step-by-step explanation:
there are 16 sides on the dice and there is only 8 number that are less than 9 so that makes it 8/16:)
Answer: There is a 8/16 chance of getting a number under 9.
Explanation: There is a total of 16 sides on the die. If you look at the die numbers 1, 2, 3, 4, 5, 6, 7, and, 8 are all numbers under 9. Which explains how there are 8 sides. Meaning 8 numbers are 8 sides and 16 total numbers are 16 total sides. Therefore the answer is 8/16.
What is the equation of a line with a slope of -2 that passes through the point (6, 8)?
A. 2x + y = 20
B. y-2x = 4
C. y-2x = 20
D. 2x + y = 4
Answer:
2x+y = 20
Step-by-step explanation:
The equation for a line is y = mx+b where m is the lope and b is the y intercept
y = -2x+b
substitute the point into x and y
8 = -2(6) +b
8 = -12+b
Add 12 to each side
20 =b
y = -2x+20
Add 2x to each side
2x+y = 20
Answer: 2x+y = 20
Step-by-step explanation:
The equation for a line is y = mx+b where m is the lope and b is the y intercept
y = -2x+b
substitute the point into x and y
8 = -2(6) +b
8 = -12+b
Add 12 to each side
20 =b
y = -2x+20
Add 2x to each side
2x+y = 20
Anthony has a combination of 104 nickels and quarters totaling $22. Which system of linear equations can be used to find the number of nickels?
Answer:
The answer is c and we'll use c to get the actual answers.
A) n + q = 104
B) .05n + .25q = 22 we'll multiply B) by -4
B) -.2n -1q = -88 then we add A)
A) n + q = 104 which equals
.8n = 16
n = 20 nickels
q = 84 quarters
20 nickels = $1
84 quarters = $21
Successful!!!
Step-by-step explanation:
for which value of x is the row in the table of values incorrect? the function is the quadratic function y=-1/2x^2
A.)x = 0
B.)x = 3
C.) x = 2
D.)x = 5
Answer:
D. x = 5
Step-by-step explanation:
At x = 5
y = -½(5)²
y = -½ × 25 = -25/2 = -12½
Answer: x=5
Step-by-step explanation:
The city of Paris, France is completely contained within an almost circular road that goes around the edge. If the diameter of the city is about 7 miles, estimate the circumference and area of the city to the nearest mile or square mile
Answer:
The answer should be 22
Step-by-step explanation:
Using the circumference formula 2πr you can take half of the diameter to get the radius which is 3.5, then multiply 2x3.14 for π and take the product and multiply that by 3.5 to get 21.98, which rounds up
The area of Miguel’s rectangular garden is 450 square feet. The garden is 9 feet wide.
How many feet of fencing will Miguel need to buy to enclose the garden on all four sides?
Answer: 118 feet
Step-by-step explanation:
For a rectangular shape: Area = W × L
450 = 9 × L
450 ÷ 9
L = 50
Perimeter of a rectangular shape = 2L + 2W
Perimeter = (2 × 50) + (2 × 9)
= 100 + 18 = 118 feet
What is this expression in simplified form (6√2)(−3√5)??
Answer:
-18√10
Step-by-step explanation:
You use the rule √a·b = √a·√b:
(6√2)(−3√5) = 6·-3√2√5 = -18√(2·5) = -18√10
Two cars are doing a race around a 20-km track. They start from the same place at the same time. The speed of first car is 60 km/h, speed of second car is 80 km/h. How long will it take second car to lap the first car?
Answer:
20 km less than the first car
Step-by-step explanation:
What is the domain of the relation?
A)
{-4,- 2 1, 4}
B)
{-2, 1, 4}
C)
{-2, 1, 4, 4}
D)
(-4,-2), (-2,1), (1,4), (4,4)
Answer:
A
Step-by-step explanation:
The domain of a relation is all the x values in it. Therefore, since the only x values in this relation are -4, -2, 1, and 4 that is the answer.
hope this helps :)
The domain given in option A is correct.
The domain of a relation is the set of the first coordinates from the ordered pairs.
How to find the domain of the relation ?
The domain of a relation is all the x values in it.
since the only x values in this relation are -4, -2, 1, and 4 that is the answer.
Thus, the domain is {-4,-2,1,4}.
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This graph displays a linear function. Interpret the constant rate of change of the relationship.
Rate of change =
Answer: -3/-1 or 3/1 is the rate of change
Step-by-step explanation:
(0,2)
(3,3) 0-3==-3
2-3= -1
-3/-1
Answer:
The rate of change ( or slope) is 3.
Step-by-step explanation:
The formula for slope is y2-x2 over y1-x1. Easier terms: subtract two points from eachother, y being the numerator and x being denominator. Two points on this graph are (2,0) and (3,3). When you put y on top, you get 0/2-3/3. The answer is -3/-1, which is equal to 3
A much easier way when you're graph looks like this, is to count the units up/down and right/left, putting the up/down number on top. Since it goes 3 up and 1 right, you get 3/1, or 3.
The probability that an egg on a production line is cracked is 0.01. Two eggs are selected at random from the production line. Find the probability that at least one egg is cracked. Write the entire decimal answer.
Answer:
[tex]P(X \geq 1)=1-P(X<1)= 1- P(X=0)[/tex]
[tex]P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801[/tex]
And replacing we got:
[tex] P(X \geq 1) = 1-0.9801 = 0.0199[/tex]
Step-by-step explanation:
Let X the random variable of interest "number of craked eggs", on this case we now that:
[tex]X \sim Binom(n=2, p=0.01)[/tex]
The probability mass function for the Binomial distribution is given as:
[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]
Where (nCx) means combinatory and it's given by this formula:
[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]
And we want to find this probability:
[tex]P(x \geq 1)=1-P(X<1)= 1- P(X=0)[/tex]
And we can find the probability:
[tex]P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801[/tex]
And replacing we got:
[tex] P(X \geq 1) = 1-0.9801 = 0.0199[/tex]
On Friday, the temperature was 82°F. The temperature changed by –2°F on Saturday, and then it changed by 2°F on Sunday.
What was the temperature on Sunday? How did the temperature change?
86°F; The temperature increased 4 degrees.
82°F; The temperature did not change.
84°F; The temperature increased 2 degrees.
78°F; The temperature decreased 4 degrees.
Answer:
84 F
Step-by-step explanation:
82 - -2
82 + -2 = 80
80 + 2 = 82
Answer:Answer is 82 I know because this was on my math quiz and I put 82
Step-by-step explanation:
How many times greater is the value of the 4 in 42,672 than the value of the 4 in
37,426?
Answer:
Step-by-step explanation:
Value of 4 in 42,672 = 40,000
Value of 4 in 37,426 = 400
40,000 ÷ 400 =100
Value of 4 in 42,672 is 100 times greater than value of 4 in 37,426
A square pyramid has a base with a total area of 144 m2 and the volume of 384m3, what is the slant height of the pyramid
Answer:
8mStep-by-step explanation:
Volume of a square based pyramid is expressed as [tex]V = a^{2} \frac{h}{3}[/tex] where;
a is the base edge
a² is the base area
h is the slant height
Given Volume of the pyramid V = 384m³
Base area a² = 144m²
h =?
On substituting to get the slant height;
[tex]384 = 144*\frac{h}{3}\\ 1152 = 144h\\h = \frac{1152}{144} \\h = 8m[/tex]
The slant height of the pyramid is 8m
What is the probability of two dice landing on 4 If you already know the first die has
landed on 4
Answer:
1/6
Step-by-step explanation:
no matter what, the die always has the same probability of landing on one specific number.
Really hope this helps!!
stay safe :0)
The required probability of both dice landing on 4 is 1/6.
What is probability?The probability is defined as the possibility of an event is equal to the ratio of the number of favorable outcomes and the total number of outcomes.
If we already know that the first die has landed on 4, then the probability of the second die landing on 4 is the same as the probability of a single die landing on 4, which is 1/6.
This is because the two dice are independent of each other, and the outcome of the first die does not affect the outcome of the second die.
Therefore, the probability of two dice landing on 4 given that the first die has landed on 4 is 1/6 or approximately 0.1667.
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PLEASEEEEE ANSWERRRRRRR!!!!!!!!!!!!
What is the area of figure?
A trapezoid with short base eighteen centimeters, long base thirty-eight centimeters, height sixteen centimeters, and diagonal side lengths twenty centimeters.
A. 320 square centimeters
B. 608 square centimeters
C. 448 square centimeters
D. 560 square centimeters
Answer:
C. 448 square centimeters
Step-by-step explanation:
38+18/2(16)
=448 square centimeters
:3
{1, 5, 10, 15} {1, 3, 5, 7} Which of the following shows the union of the sets?
Answer:
{1, 5}
Step-by-step explanation:
the union is all the values in both sets. The only shared numbers in these two sets are 1, and 5. therefore, the union of the sets is {1, 5}
Hope this helps have a great day! <3
also, pls mark brainliest!!
PLEASE HELP I DON'T HAVE ANYTIME LEFT!!!!
Which inequality is true? Use the number line to help.
A number line going from negative 2.5 to positive 2.5 in increments of 0.5.
Negative 1.5 greater-than 0.5
Negative 0.5 greater-than 0
Negative 1.5 less-than negative 0.5
One-half greater-than 0.5
Answer:
Negative 1.5 less than negative 0.5
Step-by-step explanation:
False, negative 1.5 would not be greater than 0.5 since negative 1.5 is a negative meaning it goes to the left of the zero, so it is less than 0.
False, negative 0.5 is again less than 0 so therefore it would not be greater.
False, one half is the same as 0.5 just in word form.
That means, negative 1.5 is less than negative 0.5 since it is further away from the 0.5 going to the left.
Answer:
C. –2.5 < –2
Step-by-step explanation:
How to do the problem and what the answer is this thing is due today(30 points!)
Answer:
40°
Step-by-step explanation:
complementary angels makes the sum of two angles = 90°
so
<ABC + < CBD = 90°
if <ABC = 50°
then 90° - 50° = 40°
the environment club is electing a president, vice president, and treasurer. how many different ways can the officers be chosen from the 6 members?
Answer:
2 ways.
Step-by-step explanation:
6/3=2
WILL MARK BRAINLIEST PLS HELP!!! A sphere and a cylinder have the same radius and height. The volume of the cylinder is 50ft . What is the volume of the sphere? A 50/3 B 100/3 C 75 D 100
Answer:
i think its a
Step-by-step explanation:
help plz will mark brainliest :)
Answer:
c
Step-by-step explanation:
subtract b from both sides
divide by x