Step-by-step explanation:
OI= 3.2 cm (same as OH)
To find GI, use Pythagoras Theorem (a²+b²= c²)
6.8²+3.2²= 56.48
√56.48= 7.5 cm
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1) three times a number is equal to thirty
Answer:
10!!
Step-by-step explanation:
10 x 3 = 30
10 + 10 + 10 = 30
Simplify:
-2(x + 4) - x + 6
Answer:
-3x-2
Step-by-step explanation:
Start with the given equation.
-2(x + 4) - x + 6
Distribute 2 throughout the parentheses.
-2x -8 -x +6
Combine like terms.
-3x -2
Answer:
-3x+(-2)
Step-by-step explanation:
hope this is it
PLEASE HELPPP I WILL GIVE BRAINLIEST
Answer:
D
Step-by-step explanation:
plz plz answer-------------------
Answer:
1.55
Step-by-step explanation:
Answer:
1 11/20
Step-by-step explanation:
Sorry I don't have time to explain! Hope this helps and have a good day ^^
PLEASE ANSWER !! ... ahdjxje
If the slope = 8 and the y-intercept = 2 what is the correct equation in slope-intercept form?
Answer:
3rd option
Step-by-step explanation:
becayse y=mx + b and m is slope and b is y intercept
Answer:
y=8x+2
Step-by-step explanation:
Slope formula: y=mx+b
m=slope
b=y-intercept
m=8
b=2
Lucas put 30% of his paycheque in a saving account and used another $180 to buy groceries. He has left $590 left. How much money did Lucas get paid?
What is the quotient? (6 times 10 8 power) divided ( 1.5 times 10 power -4)
Answer: 600000000/0.00015
Step-by-step explanation:
what is the ratio of the area of circle C to circle E, as shown below .
a) 16/3
b) 16/9
c) 8/6
d) 4/3
Answer: 16/9
Step-by-step explanation:
Area of circle = pi * r^2
Circle C = 16pi
Circle E = 9pi
Ratio of C to E = C/E
16pi/9pi = 16/9
The ratio of the area of circle C to circle E is 16/9.
Hence, option B is the right choice.
How is the area of a circle determined?The area of a circle is the product of π, a constant, and the square of its radius (r). The radius of the circle is any line connecting the center of the circle to any point on its circumference (boundary).
Therefore, the area of a circle = πr².
How to solve the question?In the question, we are asked to determine the ratio of the area of circle C to circle E, from the given diagram.
In the diagram, for circle C,
The center is at the point (-3, 1).
For radius, we choose the point (1, 1) on the circumference.
Therefore, radius = √((1 - (-3))² + (1 - 1)²) {using the distance formula between the point (x1, y1) and (x2, y2), given as:
d = √((x1 - x2)² + (y1 - y2)²)}.
or, radius = √(4)² = √16 = 4.
Therefore, area = πr² = π4² = 16π.
In the diagram, for circle E,
The center is at the point (4, 9).
For radius, we choose the point (1, 9) on the circumference.
Therefore, radius = √((1 - 4)² + (1 - 1)²) {using the distance formula between the point (x1, y1) and (x2, y2), given as:
d = √((x1 - x2)² + (y1 - y2)²)}.
or, radius = √(-3)² = √9 = 3.
Therefore, area = πr² = π3² = 9π.
Therefore, the ratio of the area of circle C to circle E = 16π/9π = 16/9.
Hence, option B is the right choice.
Learn more about the area of a circle at
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I ned help pls and
Answer:
the first three go on standard the 4th one i can't see it fully
Step-by-step explanation:
Can sb help. It’s not much!!!!! Plz answer correctly
Answer: Im pretty sure it's 6
Hiii I need help guysss tyyy and also need to plot points TYSM
Answer:
6x+10
Step-by-step explanation:
6 left and go up 10 and thats the point
What is the quotient?
Answer:
I got 4e+12 which is d
I think
Step-by-step explanation:
Answer:
[tex]4* 10^{12}[/tex] (The 2nd one)
Step-by-step explanation:
You can do 6 ÷ 1.5.
This will give you 4.
If following the exponents rule, when dividing exponents with the same base, you need to subtract the exponents.
8 - (-4) = 12
6 is your base and 12 is your exponent.
someone help pleasee
Answer:
Option (3)
Step-by-step explanation:
If the sides of a triangle are unequal then the measure of sides opposite to these angle will be in the order from least to greatest.
In ΔABC,
m∠CAB = 180°- (m∠B + m∠C)
= 180° - (25° + 27°)
= 180° - 52°
= 128°
Since, ∠CAB > ∠ABC ∠ACB
Therefore, a > b > c ---------(1)
Now from ΔADB,
m∠BAD + m∠ADB + m∠DBA = 180°
32° + m∠ADB + m∠35° = 180°
m∠ADB = 180° - 67°
= 113°
Since, m∠ADB > m∠DBA > m∠BAD
Therefore, c > d > e -------(2)
Combining both the inequalities,
a > b > c > d > e
Option (3) will be the answer.
Anthony and Miguel go to the store to purchase some new DVD's. There is an advertisement displayed in the window that states they can buy 3 DVD's for $22.50 or 5 DVD's for $37.50.
Is this a proportional relationship? Explain how you know.
Answer: it is a porportional relationship
Step-by-step explanation: looked it up
What is the length of AB?
B
3x
14x-2
63
A
630
C
O A. 6
O B. 2
O C. 8
O D. 4
Answer:
A) 6
Step-by-step explanation:
since angle a = angle c
thus,BC=BA
4x -2= 3x
4x-3x =2
x=2
AB =3x
AB = 3•2
AB=6
6
A bicycle club went on a six-hour ride. The graph below shows the relationship between the number of hours spent on the
trails and the number of miles traveled,
Determine whether the triangles are similar. or not.
If similar, state how.
A. similar, AA
B. similar, sss
C. Similar, SAS
D. Not similar
work out the value of angle x.
and give a reason for your answer.
pls help!
Answer:
60°
Step-by-step explanation:
Since, all sides of the given triangle are marked with identical signs.
So, measures of all sides are equal.
Therefore, it is an equilateral triangle.
Measure of each angle of an equilateral triangle is 60°.
So, x = 60° ( Alternate angles)
What is the length if the height is 15 and the area is 45? *
What is the slope of a line perpendicular to the line whose equation is x - 3y = -18. Fully reduce your answer.
Given:
Equation of a line is
[tex]x-3y=-18[/tex]
To find:
The slope of the line perpendicular to the given line.
Solution:
The slope of the equation [tex]ax+by=c[/tex] is
[tex]Slope=-\dfrac{a}{b}[/tex]
We have,
[tex]x-3y=-18[/tex]
Here, a=1, b=-3. So, slope of this line is
[tex]m_1=-\dfrac{1}{-3}[/tex]
[tex]m_1=\dfrac{1}{3}[/tex]
Product of slopes of two perpendicular lines is -1.
Let slope of perpendicular line is [tex]m_2[/tex].
[tex]m_1\cdot m_2=-1[/tex]
[tex]\dfrac{1}{3}\cdot m_2=-1[/tex]
[tex]m_2=-3[/tex]
Therefore, the slope of the perpendicular line is -3.
Margaret noticed some students in her class like to write with short pencils, while others were using long pencils. She measured the lengths of each student's pencil and displayed the results in a line plot. If the lengths of the pencils were divided equally among the total number of pencils, what would be the length of each pencil?
Answer:
heres some info for you!
Step-by-step explanation:
∠A and ∠B\angle B ∠B are vertical angles. If m ∠A=(2x+7)∘\angle A=(2x+7)^{\circ} ∠A=(2x+7) ∘ and m ∠B=(5x+16)∘\angle B=(5x+16)^{\circ} ∠B=(5x+16) ∘ , then find the measure of ∠B\angle B ∠B.
Answer:
The answer is below
Step-by-step explanation:
An angle is defined as the figure formed by two rays meeting at a common end point. An angle is formed when two straight lines meet at a point. Angles are usually measured in degrees.
When two straight lines intersect, the pair of opposite angles formed is known as vertical angles (or vertical opposite angles). Vertical angles are equal to each other.
Given that ∠A and ∠B are vertical angles, therefore:
∠A = ∠B (vertical angles are equal)
2x + 7 = 5x + 16
2x - 5x = 16 - 7
-3x = 9
x = -3
∠B = 5x + 16
substituting x = -3:
∠B = 5(-3) + 16
∠B = -15 + 16
∠B = 1°
Complete the table of input/output pairs for each function
f ÷ 20 = 17
what is f
Answer:
340
Step-by-step explanation:
Multiply both sides by 20.
Answer:
f=340
Step-by-step explanation:
17 times 20 equals 340
Hope I helped!! :)
Sorry if it's wrong! :(
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plz help me. thxs. brainliest who answers right
Answer:
12 cm
Step-by-step explanation:
8 divided by 4 is 2
6 x 2 = 12
HEY CAN SOMEONE HELP ASAP IVE BEEN ON THIS QUESTION FOR A WHILE NOW?!
Answer:
y=11.5x
he rides 11.5 miles every hour
solve: - 1/2x = 9/2x + 9/5
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x = − 9 /25
Decimal Form:
x = − 0.36
I hope this helps! Have a great day!
Seth is analyzing the number of students in his class and high school who own skateboards. He puts
the data in the table shown. Given the information in the table, which event is the least likely?
Answer:it is the third option
Step-by-step explanation:
I took the test (:
Least likely event means probability of its occurrence is minimum among other events. The least likely events from the given events is: Option B: A randomly selected student who is a freshmen owns a skateboard
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
What is chain rule in probability?For two events A and B, by chain rule, we have:
[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(A|B)[/tex]
How to find the conditional probability?Suppose that there are two events A and B. Then suppose the conditional probability are:
P(A|B) = probability of occurrence of A given B has already occurred.P(B|A) = probability of occurrence of B given A has already occurred.We can then use the chain rule to find them, or Baye's theorem also helps in finding these probabilities.
We are given the following table of joint relative frequency:
[tex]\begin{array}{cccc}&\text{Freshmen(B)}&\text{Non-Freshmen(B')}&\text{Total}\\\text{Owns a skateboard(A)}&40&110&150\\\text{Doesn't own skateboard(A')}&210&840&1050\\\text{Total}&250&950&1200\end{array}[/tex]
We named events as A, A' and B and B' (event and their complements).
The important probabilities which are going to be used are evaluated as:
[tex]P(A) = \dfrac{n(A)}{n(S)} = \dfrac{150}{1200} = \dfrac{1}{8}[/tex]
[tex]P(B) = \dfrac{n(B)}{n(S)} = \dfrac{250}{1200} = \dfrac{5}{24}[/tex]
[tex]P(A') = 1 - P(A) = \dfrac{7}{8}\\\\P(B') = 1-P(B) = \dfrac{5}{24} = \dfrac{19}{24}[/tex]
[tex]P(A \cap B) = \dfrac{n(A \cap B)}{n(S)} = \dfrac{40}{1200} = \dfrac{1}{30}\\\\P(A' \cap B') = \dfrac{n(A' \cap B')}{n(S)} = \dfrac{840}{1200} = \dfrac{7}{10}\\P(A' \cap B) = \dfrac{n(A' \cap B)}{n(S)} = \dfrac{210}{1200} = \dfrac{7}{40}[/tex]
Evaluating probabilities of choices given, we get:
Case 1: E = A randomly selected student who owns a skateboard is a freshmen
P(E) = ?
P(E) = P(B|A) = [tex]\dfrac{P(A \cap B)}{P(A)} = \dfrac{1/30}{1/8} = \dfrac{4}{15}[/tex]
Case 2: E = A randomly selected student who is a freshmen owns a skateboard:
P(E) = P(A|B) = [tex]\dfrac{P(A \cap B)}{P(B)} = \dfrac{1/30}{5/24} = \dfrac{4}{25}[/tex]
Case 3: E = A randomly selected student who doesn't owns a skateboard is a freshmen
P(E) = P(B|A') = [tex]\dfrac{P(A' \cap B)}{P(A')} = \dfrac{7/40}{19/24} = \dfrac{21}{95}[/tex]
Case 4: E = A randomly selected student who doesn't owns a skateboard is not a freshmen
P(E) = P(B'|A') = [tex]\dfrac{P(A' \cap B')}{P(A')} = \dfrac{7/10}{19/24} = \dfrac{84}{95}[/tex]
Thus, the least probability is for the second case.
Thus, the least likely event(the event having least probability) from the given events is: Option B: A randomly selected student who is a freshmen owns a skateboard
Learn more about probability here:
brainly.com/question/1210781
WILL GIVE BRAINLIEST! In the figure, a∥b and m∠1 = 34°.
What is the m∠5?
Enter your answer in the box.
°
Severely slanted line c diagonally crossing parallel lines a and b (reading from top to bottom). Angles formed by c crossing a are labeled one through four, starting at top right and going counterclockwise, where angle one is acute. Angles formed by c crossing b are labeled five through eight, starting at top right and going counterclockwise.
PLEASE HELP ASAP...
WILL GIVE BRAINLIEST
Answer:
34 degrees
Step-by-step explanation: