The radius of the circle?
which of the following are valid names for the given triangle ? check all that apply
Answer: B. ΔMLZ
D. ΔLMZ
E. ΔZML
Step-by-step explanation:
In the given picture we have one triangle with three vertices as
Vertex L
Vertex M
Vertex Z
To name a triangle we use the labels of the vertices of the triangle, which are commonly written in capital letters.
When we name a triangle, we can start with any vertex but we need to keep the letters in order as you go around the triangle.
Therefore, the possible names of the triangle are :-
ΔLMZ Δ LZM ΔMLZ ΔMZL ΔZLM ΔZML
what is the 8th term of this geometric sequence 6,48,384,3072
If you flip a coin and roll a 6-sided die, what is the probability that you will flip a heads and roll less than a 6?
The probability of getting the desired outcome is 5/12.
What is probability?Like "point" and "time," the concept of "the likelihood of anything" is one of those concepts that we can't precisely describe but that are nevertheless helpful. The four most popular approaches to probability are classical, empirical, subjective, and axiomatic.
Given flip a coin and roll a 6-sided die. to find the probability that you will flip a head and roll less than a 6. since there are two events that are separated from each other hence we need to find out the probability of both P(a∪b). hence,
probability of getting head on a coin flip P(a) = 1/2
probability of getting less than 6 on dice roll P(b) = 5/6
Probability of getting both the vent simultaneously = P(a) * P(b)
Therefore, the Probability of getting flipped a head and rolling less than a 6 is 5/12.
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I REALY NEED HELP! Will give Brainliest!
Of segments CFD and CED, which of the segments has a greater area based on the given information?
Circle A: radius = 10m, m∠CAD = 90°
Circle B: radius = 12m, m∠CBD = 60°
If I am understanding you correctly, first solve for the whole sector, which you can use this formula.
[tex] \frac{\Theta}{360} \pi r^2[/tex]
Once you find the area of the sector, all you have to do is get the area of the triangle and then subtract the area of the triangle from the sector and that will tell you the area of CFD and CED and let you know which one is greater.
For instance, Lets find A
sector area = [tex] \frac{90}{360} \pi 10^2 = 25\pi [/tex]
Now lets get the area of the triangle, which is
area triangle = [tex] \frac{1}{2} bh\sin C[/tex]
area triangle = [tex] \frac{1}{2} \times 10 \times 10 \times sin 90 = 50m^2[/tex]
CED = sector area - area of triangle = [tex] 25\pi - 50 = 28.53m^2[/tex]
Now lets find B
sector area = [tex] \frac{60}{360} \pi 12^2 = 24\pi [/tex]
Now lets get the area of the triangle, which is
area triangle = [tex] \frac{1}{2} bh\sin C[/tex]
area triangle = [tex] \frac{1}{2} \times 12 \times 12 \times \sin 60 = 36\sqrt(3)[/tex]
CFD = sector area - area of triangle = [tex] 24\pi - 36\sqrt(3) = 13.04m^2[/tex]
So A has the greater area base.
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 89m long and 66m wide. Find the area of the training field. Use the value 3.14 for π , and do not round your answer. Be sure to include the correct unit in your answer.
Answer:9953.46M squared
Step-by-step explanation:
winston's soup recipe make 6 servings and uses 4 carrots and 2 potatoes. how many will winston need for 15 servings
Misha used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are shown in the tables below: Color of Marble Number of Times Rolled Blue 20 Green 18 Yellow 12 Heads Tails 28 22 Using Misha's simulation, what is the probability of pulling a blue marble and the coin landing tails up?
To solve this problem, let us first remember that probability is:
Probability = number of successful events / number of total events
Now, let us first calculate the probability of getting a blue marble. There are 20 blue marbles out of 50 total marbles, therefore the probability is:
P (blue marble) = 20 / 50 = 0.4
Next, let us calculate for the probability of landing tails up. There are 22 tails success out of 50 times the coin was tossed, therefore the probability is:
P (tails) = 22 / 50 = 0.44
Finally, since we want to find the Probability of getting blue and Probability of landing tails, we multiply the two:
P (blue and tails) = 0.4 * 0.44
P (blue and tails) = 0.176 (ANSWER)
Now if the choices are in fraction:
P (blue and tails) = (20 / 50) (22 / 50) = 440 / 2500
Answer:
The answer is 440/2500
Step-by-step explanation:
Angie has laid out a design for a garden consisting of two triangular areas as shown. The points are A (0,0), B (0,5), C(3,5), D(6,5), E(6,0). Name the type of congruence transformation for the preimage ABC to EDC.
A.) reflection
B.) rotation
C.) translation
D.) none of these
Jacqueline drove 72 km on 6 L of gasoline. Which of the following equations can be used to find how far she can travel on a full tank of 50 L?
Jacqueline's car gets 12 km per liter of gasoline. Therefore, on a full 50 L tank, she would be able to drive 600 km.
Explanation:To solve this problem, we need to determine Jacqueline's rate of distance traveled per liter of fuel consumed, then scale this up to find out how far she could theoretically drive on a full tank of 50 liters of gasoline. Jacqueline drove 72 km on 6 L of gasoline, so she is driving at a rate of 72 km / 6 L = 12 km/L.
To find out how far she could drive on a full tank of 50 L of gasoline, we can multiply this rate (12 km/L) by the total volume of the tank. This gives us 12 km/L * 50 L = 600 km.
So using this rate, Jacqueline would be able to drive 600 km on a full 50 L tank of gasoline, assuming that her car’s fuel efficiency stays consistent.
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Jacqueline can travel 600 km on a full tank of 50 L.
First, set up the proportion based on the given information,
Distance travelled / Gasoline used = Unknown distance / Full tank
This gives us:
72 km / 6 L = X km / 50 L
Now, solve for X by cross-multiplying and then dividing,
72 km * 50 L = 6 L * X km
3600 kmL = 6X kmL
3600 kmL / 6 = X km
X = 600 km
Therefore, Jacqueline can travel 600 km on a full tank of 50 L of gasoline.
A scale on a map shows that 2 inches = 25 miles.
Part A
How many inches on the map represent 60 miles?
Enter your answer in the box.
Part B
How many miles are represented by 1/4inch on the map?
Enter your answer in the box.
write the equation for the graph
6300 and 530 the value of 3 in 6300
Ratio or rate of 30 feet to 60 feet
What is the rounding or compatible number
of 256+321
The annual Gross Domestic Product (GDP) of a country is the value of all of the goods and services produced in the country during a year. During the period 1985-1999, the Gross Domestic Product of the United States grew about 3.2% per year, measured in 1996 dollars. In 1985, the GDP was $577 billion. I what year did/or will the GDP equal $3.4 trillion?
Consider a political discussion group consisting of 4
Democrats, 6
Republicans, and 6
Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting a
Democrat
and then a
Republican
.
Answer: 0.1
Step-by-step explanation:
Given : The number of Democrats : 4
The number of Republicans : 6
The total number of group members =[tex]4+6+6=16[/tex]
The probability that the first member selected is Democrat :-
[tex]\dfrac{4}{16}=\dfrac{1}{4}[/tex]
Now, the total number of group members left = 15
The probability that the second member selected is Republican :-
[tex]\dfrac{6}{15}=\dfrac{2}{5}[/tex]
Now, the required probability will be :_
[tex]\dfrac{1}{4}\times\dfrac{2}{5}=\dfrac{1}{10}=0.1[/tex]
Find the greatest possible pair of numbers such that one integer is 5 more than twice the other and the sum is less than 30.
A car dealership increased the price of a certain car by 11%
The original price was $39,600.
Fill in the blank to write the new price in terms of the original price.
Write your answer as a decimal.
New price= ? x original price
Use your answer in part (a) to determine the new price.
New price: $?
HELP PLEASE ASAP!!
1. Can you explain how a table can be used to find the rate of change?
2. How do you find the rate of change using a graph?
Triangle JKL is isosceles. The meansure of angle J is 72degrees and the measure angle K is 36 degrees. Which satement describes angle L?
Angle L in triangle JKL is [tex]\( 180^\circ - (72^\circ + 36^\circ) = 72^\circ \)[/tex]. Therefore, angle L measures [tex]\( 72^\circ \).[/tex]
1. Start with the fact that triangle JKL is isosceles, which means that angles J and K are congruent.
2. Given that angle J measures [tex]\( 72^\circ \)[/tex] and angle K measures \( 36^\circ \), the sum of angles J and K is [tex]\( 72^\circ + 36^\circ = 108^\circ \).[/tex]
3. Since the triangle is isosceles, the base angles (angles J and K) are congruent, so each measures half of the sum of angles J and K, which is [tex]\( \frac{108^\circ}{2} = 54^\circ \).[/tex]
4. Since angle L is the remaining angle in the triangle and the sum of the angles in a triangle is \( 180^\circ \), we subtract the sum of angles J and K from [tex]\( 180^\circ \)[/tex] to find the measure of angle L: [tex]\( 180^\circ - 108^\circ = 72^\circ \)[/tex].
5. Therefore, angle L measures [tex]\( 72^\circ \)[/tex].
Which of the following is the inverse of the relation {(1, 5), (2, 6), (1, 7), (4, 8)}? Select the correct answer below. A. {(1, 5), (2, 6), (7, 1), (8, 4)} B. {(5, 1), (6, 2), (7, 1), (8, 4)} C. {(2, 6), (1, 5), (8, 4), (7, 1)} D. {(1, 7), (1, 5), (2, 6), (8, 4)}
The sum of two numbers is 44 . Their difference is 22 .
x+y =44
x-y=22
x = 22+y
22+y +y =44
22+2y =44
2y=22
y=11
x=22+11=33
check:
11 +33 = 44
33-11=22
so the numbers are 11 and 33
Which is not a true statement? A 346.91 < 347 B 586.0041 < 586.0004 C 637.750 = 637.75 D 959.0059 < 959.006
Diego wanted to find the 7% sales tax on purchases that total $15.99. On his calculator the display showed $1.1193 as the tax. How much sales tax will Diego pay?
Which linear inequality is represented by the graph?
y ≤ 2x + 4
y ≤ 1/2x + 3
y ≥ 1/2x + 3
y ≥ 2x + 3
The graph is a solid line. It is crossing through (0,3) and it's shaded below it.
answer both questions to get brain if u don't see all the answers is don't matter all u need is the question
3) area = pi x r^2
113 = 3.14 x r^2
r^2 =113/3.14 = 35.98726
r = sqrt(35.98726) = 5.9989 round to 6 inches
answer is C 6 inches
4) G = 2.5 times smaller than 18.04
18.04/2.5 = 7.216
answer is B0 7.216 cm
how do i solve this 9x-5+7(x-3)-2(7+4x)-3x
distributive property and combining like terms pre algebra
solve(3/4x=1/5, x=_)
Final answer:
To solve 3/4x = 1/5, cross multiply and simplify to get 15 = 4x. Divide both sides by 4 to find x = 3.75 or 15/4.
Explanation:
To solve the equation 3/4x = 1/5, we need to find the value of x that makes the equation true. First, we will cross multiply to get rid of the fractions. We multiply both sides of the equation by 4x and by 5, resulting in 5 × 3 = 4x × 1, which simplifies to 15 = 4x.
To find the value of x, we then divide both sides of the equation by 4, yielding x = 15/4. Therefore, the solution to x is 3.75 or ⅔.
Barry orders a wallet for $12.99, a sweater for $20.99, and a watch for $66.49 from a mail-order catalog. He adds $12.06 for tax, shipping, and handling. What is the total cost of Barry’s order?