Step-by-step explanation:
Pythagoras theorem may be used :
as we can see pq iS perpendicular on oq
OQ²+pq² = op²
x² + (9)² = (3)²
x²+81= 9
x² = 81-9
x²= 72
x = √72
x = 8.48528137 ✓
Answer:
Step-by-step explanation:
OQ²+pq² = op²
x² + (9)² = (3+x)²
x²+81= 9+ 6x +[tex]x^{2}[/tex]
6x=72
x=12
Factor X^2 + 14x + 49 =
Answer:
Step-by-step explanation:
X^2 + 7x + 7x + 49 = x*(x+7) + 7*(x+7) = (x+7)(x+7) = (x+7)^2
Answer:
The simplest form should be (x + 7)^2 (squared)
Step-by-step explanation:
This is a Perfect Square Trinomial. If the A and C values are both perfect squares then you can take the square root of them and that would become the factored version. Hope this helps! Please mark Brainliest! :)
1. A man has 5 grandchildren, 4 girls and 1 boy. He thinks this is unusual. If the probability that any child born
will be a girl is 1/2, what is the probability that a person who has 5 grandchildren will have exactly 4
granddaughters? Is this case unusual? Explain.
2 To be on the safe side three detectors were installed in a facton moon
Answer:
6.25%
Step-by-step explanation:
To know the final probability that this has happened, we must multiply the probability of each event, they tell us that the probability that it is a girl is 1/2 and this happened 4 times, therefore:
(1/2) ^ 4 = 0.0625
that is, the probability that 4 girls are born is 6.25%
an unusual probability is considered when it is less than 5%, therefore, although it approaches this figure, it is not unusual
Plz help me I’m stuck on this question!!!!!
Answer:
It's the one with only one line.
Step-by-step explanation: The cross and angle looking one both only have one solution and the parallel lines have no solutions.
A rule for creating a pattern is given below. The rule begins with a number called the input and creates a number called the output.
Rule: Multiply the input by 666 to get the output.
Which input and output table works for the rule?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Input Output
000 666
(Choice B)
B
Input Output
111 777
(Choice C)
C
Input Output
222 121212
Answer:
None of input and output table work for the rule.
Step-by-step explanation:
Start with the numbers given at A, B,C.
According to the rule you need to multiply by 666 to get the output.
A 000 * 666 = 0 (=NOT the output)
B 111 * 666 = 73926 (=NOT the output)
C 222 * 666 = 147852 (=NOT the output)
None of input and output table work for the rule.
Answer:
c
Step-by-step explanation:
khan academy
Complete the point-slope equation of the line through (-1,6) and (1,5)
Answer:
(5-6)/(1+1)= -1/2
y - 6 = -1/2(x + 1)
y - 6 = (-1/2)x - 1/2
y - 12/2 = -1/2x - 1/2
y = -1/2x + 11/2
Traveling 15 miles in 20 minutes, how many miles per hour must you be going?
Answer:
45
Step-by-step explanation:
Answer:
45
Step-by-step explanation
Juan has just completed a 15 kilometer race in 20 minutes. What was his average speed in kilometers per hour?
Solution
First, 15 kilometers is a distance, so
d = 15
Next, we are given 20 minutes and we are asked to present the speed in kilometers per hour rather than kilometers per minute. We need to convert 20 minutes to hours. Since there are 60 minutes per hour, we divide by 60 to find out how many hours it took
t = 20 minutes / 60 minutes per hour = 1/3 hours
Now we can use the d=rt equation:
15 = (r)(1/3)
If we multiply both sides
(3)(5) = (r)(1/3)(3) or r = 45
Juan's average speed was 45 kilometers per hour.
Un grupo de amigos toman un refresco cada uno y deben pagar 9 € por el total de las consumiciones. Como hay dos que solo pueden poner 1 €, los demás deben aumentar su aportación en 0,25 € cada uno. ¿Cuántos amigos son?
Answer:
6 friends (4 pay € 1.75 and 2 pay € 1)
Step-by-step explanation:
We have to:
x = friends
y = payment
x * y = 9
y = 9 / x
It follows from the problem:
(x-2) * (y + 0.25) = 9 - 2
(x-2) * (9 / x + 0.25) = 7
x * 9 / x + 0.25 * x - 2 * 9 / x - 2 * 0.25 = 7
9 + 0.25 * x - 18 / x - 0.5 = 7
multiply by 100
100 * 0.25 * x - 100 * 18 / x + 100 * (9 - 0.5 - 7) = 0
25 * x - 1800 / x + 150 = 0
multiply by x
25 * x ^ 2 + 150 * x - 1800 = 0
we factor:
(x - 6) * (x + 12) = 0
x = 6
x = -12
The positive value is taken: x = 6
Each one had to pay = 9/6 = € 1.5
But as two pay € 1, 4 will pay € 0.25 more: 1.5 +0.25 = € 1.75
Thus :
(4 * 1.75) +2 (1) = € 9
Therefore, they are 6 friends (4 pay € 1.75 and 2 pay € 1)
Write an inequality for each sentence.
The roller coaster is at least 800 feet tall.
Answer:
That means that the roller coaster can be 800 feet or taller
which means greater than or equal to
r≥800
Step-by-step explanation:
Answer:
y is greater than or equal to 800 feet
Step-by-step explanation:
It says it is at least 800 feet, so it has to be higher than 800
What table represent a linear function
Answer: D
Step-by-step explanation:
every time x increases by 1 y increases by 5
hope this helps :3
Find X. Please help me, I wanna make sure I’m doing good
Answer:
x = 0
Step-by-step explanation:
2x + 15 = x + 15 (Because STUR is a parallelogram) -->
x = 0
what is (4x+1)(4x+1)
Answer:
(4x+1)^2
Step-by-step explanation:
Anything times itself is itself squared
Answer:
8x+2
Step-by-step explanation:
(4x+1) (4x+1)
= 8x + 2
Which ordered pair is a solution to the system of linear equations -4x+y=8 and x-5y=17
Answer: -3
Step-by-step explanation:
What is the exact value
(4x2 - 10x + 9) + (6x - 2) =
A) 4x2 - 4x + 7
B) 4x2 - 4x + 11
C) 4x2 - 16x - 7
D) 4x2 - 16x + 11
Answer:
4x^2−4x+7
Step-by-step explanation:
Let's simplify step-by-step.
4x^2−10x+9+6x−2
=4x^2+−10x+9+6x+−2
Combine Like Terms:
=4x^2+−10x+9+6x+−2
=(4x^2)+(−10x+6x)+(9+−2)
=4x^2+−4x+7
Answer:
=4x^2−4x+7
Answer:
A
Step-by-step explanation:
A flagpole casts a shadow that is 30 feet long A sign Post near the flagpole is 4 feet tall and cast a shadow that is 6 feet long how tall is the flagpole
Answer:
20 ft
Step-by-step explanation:
Given;
Length of flagpole shadow = 30 ft
Sign post height = 4 ft
Length of sign post shadow = 6 ft
Since the two objects are close to each other (the same location)
The height and shadow length of the two objects follows the same ratio, just like similar triangles;
Using the Ratio or similar triangles Formula;
height of flagpole/flagpole shadow length = height of sign post/ sign post shadow length
Substituting the values;
h/30 = 4/6
h = 4/6 × 30 = 20 ft
Flagpole height = 20 ft
Felicia places a rectangular rug that measures 10 feet by 11 feet in a triangular room with a base of 30 feet and height of 22 feet. What are the areas of the room and rug?
Answer:
1. Area of rectangular rug is [tex]110 ft^{2}[/tex]
2. Area of triangular room is [tex]330ft^{2}[/tex]
Step-by-step explanation:
This problem bothers on the mensuration of flat shapes, rectangle and triangle.
step one
let us start by solving for the area of the rectangular rug
given data
Area A = ?
Length l = 11 ft
Width w= 10 ft
we know that the area of a rectangle is expressed as
[tex]Area=Length * Width[/tex]
substituting our given data we have
[tex]Area= 11*10\\Area= 110 ft^{2}[/tex]
step two
let us solve for the area of the triangular room
given data
Area A = ?
base b = 30 ft
height h= 22 ft
we know that the area of a triangle is expressed as
[tex]Area= \frac{1}{2} *base* height\\[/tex]
substituting our given data we have
[tex]Area= \frac{1}{2} * 30* 22\\Area=\frac{660}{2} \\Area= 330 ft^{2}[/tex]
The rectangular prism below has a length of 18 inches, a width of 24 inches, and a height of 12 inches.

What is the surface area of the prism?
1,440 square inches
1,584 square inches
1,872 square inches
2,160 square inches
Answer:
1872
Step-by-step explanation:on edge
Answer:
C) 1,872 square inches
Step-by-step explanation:
Hope this helps!
Brainliest if correct pls??
What is the lcm of 3,9,18
Answer:
18 is the least common multiple
Answer:
18
Step-by-step explanation:
A square picture with a side length of 4 inches needs to be enlarged. The final area needs to be 81 square inches. Which equation can be used to solve for x, the increase in side length of the square in inches? x2 + 4x – 81 = 0 x2 + 4x – 65 = 0 x2 + 8x – 65 = 0 x2 + 8x – 81 = 0
Answer:
C) x2 + 8x – 65 = 0
Step-by-step explanation:
just took it :)
Answer:
c
Step-by-step explanation:
yolanda lost 55 dollars from her pocket. write a signed number to represent this change
What is the volume, in cubic centimeters, of a
cylinder that has a height of 15 cm and a
diameter of 12 cm?
Answer:
3cm
Step-by-step explanation:
Answer:
The answer is 540π cm³ or 1700 cm³.
Step-by-step explanation:
Given that the volume og cylinder is V = π×r²×h where r represents radius and h is height. The diameter is 12 cm so the radius is 6 cm. Then you have to substitute it into the formula :
V = π × r² × h
Let r = 6 cm,
Let h = 15 cm,
V = π × 6² × 15
= π × 36 × 15
= 540π cm³
= 1700 cm³ (3s.f)
Which ordered pair needs to be removed in order for the
mapping to represent a function?
(-3,-4)
(-2, -1)
(1, -3)
(3.7)
Answer:
1, -3
Step-by-step explanation:
I'm pretty sure it's that one because it doesn't fit with the others.
Shape of distribution
Answer:
where is the picture so i can help you
All most done thanks for hanging in there
Answer:
Angle CBE
Step-by-step explanation:
They share the same degree. Or are the same angle in a different place with a different name.
Answer:
CBE
Step-by-step explanation:
Angle CBE is vertical to GBF which means it is the same size (or congruent to ) CBE
Therefore CBE = GBF
Dependent variable C depends on both independent variable A and independent variable B. Which statement is correct?
The relationship between independent variable A and dependent variable C and the relationship between independent variable
B and dependent variable C can both be analyzed using the same scatterplot.
The relationship between independent variable A and dependent variable C, and the relationship between independent
variable B and dependent variable C can both be analyzed, but they must be analyzed using separate scatterplots.
Only the relationship between independent variable A and dependent variable C can be analyzed using a scatterplot.
Only the relationship between independent variable B and dependent variable C can be analyzed using a scatterplot.
Save and Exit
Next
Submit
Mark this and retum
Answer:
its the second one
The relationship between independent variable A and dependent variable C, and the relationship between independent variable B and dependent variable C can both be analyzed, but they must be analyzed using separate scatterplots.
Step-by-step explanation:
Answer:
B) The relationship between independent variable A and dependent variable C, and the relationship between independent variable B and dependent variable C can both be analyzed, but they must be analyzed using separate scatterplots.
Step-by-step explanation:
I just took the test on edge
CAN SOMEONE PLS ANSWER THIS ILL REALLY APPREICIATE IT
log3(5x+1)=4 A.) x = 5 B.) x = 16 C.) x = 4 D.) x = 3
Answer:
B) x=16
Step-by-step explanation:
The 3 is the base, the expression in the parenthesis is the argument and the 4 is the exponent
We also know that [tex]base^{exponent}[/tex] = argument
so therefore the new equation is [tex]3^{4}[/tex] = 5x+1
3 to the fourth power is 81
so 81=5x+1
then solve algebraically
simplify 5x+5(2x+2)+7
Answer:
12x+14
Step-by-step explanation:
5x+5(2x+2)+7
5x+7x+7+7
12x+7+7
12x+14
5 x 10 to the 6th power is how many times larger than 5 x 10 to the 4th power. PLEASE RESPOND FAST
Answer:
5 x 10 to the 6th power is 5,000,000
5 x 10 to the 4th power is 50,000
5,000,000 / 50,000 = 100
it is 100 times larger
Step-by-step explanation:
To rent a canoe costs $15 for the first hour and $12 for each additional hour or fraction of an hour. Which point is NOT included in the graph of this step function?
A. (2.5, 39)
B. (3.2, 51)
C. (3.0, 39)
D. (4.5, 51)
Answer:
A
Step-by-step explanation:
(2.5,39)
Answer:
(2.5, 39)
Person above me is correct. :)