Answers
[tex]\sin \angle F~~= \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\~~~~~~~~~~~~=\dfrac{GE}{EF}\\\\~~~~~~~~~~~~=\dfrac 2 3\\\\\implies \angle F=\sin^{-1} \left(\dfrac 23} \right)=41.8^{\circ}\\\\\text{Hence the measure of angle F is}~ 41.8^{\circ}[/tex]
Related Questions
Drag the tiles to the correct boxes to complete the pairs. Match the pairs of coordinates with the distances between them.
Answers
Answer:
See belowStep-by-step explanation:
Use distance formula and find the result for each pair of points.
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]1)
[tex]d=\sqrt{(1-4)^2+(-2-2)^2} =\sqrt{9+16} =\sqrt{25} =5[/tex]2)
[tex]d=\sqrt{(2-(-8))^2+(-3-7)^2} =\sqrt{100+100} =\sqrt{200}[/tex]3)
[tex]d=\sqrt{(1-9)^2+(9-1)^2} =\sqrt{64+64} =\sqrt{128}[/tex]4)
[tex]d=\sqrt{(-8-(-2))^2+(2-(-6))^2} =\sqrt{36+64} =\sqrt{100} =10[/tex]#1
√(4-1)²+(2+2)²√3²+4²√5²5units#2
√(-8-2)²+(7+3)²√10²+10²√200units#3
√(9-1)²+(1-9)²√8²+8²√128units#4
√(-2+8)²+(-6-2)²√6²+8²√10²10units18.
Is the data point, P, an outlier, an influential point, both, or neither?
A. Neither
B. Influential point
C. Outlier
D. Both
Answers
7) There are 260 athletes at a meeting.
How many handshakes were there?
Answers
Answer:
130
Step-by-step explanation:
Assuming everyone handshakes at the meeting. There will be 130 handshakes in total.
It takes 2 people to handshake, and thus to find the number of handshakes we need to do 260/2=130
130 total handshakes
Hope this helps ^^
PLEASE HELP!!
Find the missing side lengths. Round decimals to the nearest tenth.
Answers
Answer: 36.2
Step-by-step explanation:
100 POINTS! PLEASE ANSWER!!! WILL MARK BRAILIEST!! THANKS! (show work if you can)
Answers
Answer:
5.7594087
Step-by-step explanation:
0.03x8888^14
Check whether the relation R defined in the set {1, 2, 3, 4, 5, 6} as
R = {(a, b): b = a + 1} is reflexive, symmetric or transitive.
Answers
Answer:
The answer is R is neither reflexive, nor symmetric, nor
transitive.
Step-by-step explanation:
Let A = {1, 2, 3, 4, 5, 6}.
A relation R is defined on set A as:
R = {(a, b): b = a + 1}
R = {(1, 2), (2, 3), (3, 4), (4, 5), (5, 6)}
We can find (a, a) ∉ R, where a ∈ A.
For instance,
(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6) ∉ R
R is not reflexive.
It can be observed that (1, 2) ∈ R, but (2, 1) ∉ R.
R is not symmetric.
Now, (1, 2), (2, 3) ∈ R
But, (1, 3) ∉ R
R is not transitive
Thus, R is neither reflexive, nor symmetric, nor transitive.
What number should be subtracted from (3/4+-1/3) to get 1/4
Answers
Answer:
5/6
Step-by-step explanation:
( 3/4+1/3) = 3 × 3/ 4 × 3 + 1 × 4/ 3 × 4 = 9/12 + 4/12 = 9+4/ 12 = 13/ 12 = 1 1/12
13/ 12 - 1/ 4 = 13/ 12 - 1 × 3/ 4 × 3 = 13/ 12 - 3 / 12 = 13 - 3 / 12 = 10 / 12 = 10 ÷ 2 / 12 ÷ 2 = 5/6
13/ 12 - 5/ 6 = 13/ 12 - 5 × 2/ 6 × 2 = 13/ 12 - 10/ 12 = 13 - 10/ 12 = 3/ 12 = 3 ÷ 3/ 12 ÷ 3 = 1/4
32,000 is what fraction of 106,000
Answers
Step-by-step explanation:
I hope this helps, you can ask any questions for clarification
Find (f+g)(x) if f(x)=2√m and g(x)= 3√4m
Answer Options:
1. (f+g)(x)= 11√m
2. (f+g)(x)= -4√m
3. (f+g)(x)= 8√m
4. (f+g)(x)= -7√m
Answers
Answer: 3
Step-by-step explanation:
16-2t=5t+9
Answer
equation
Answers
Answer:
t=1
Step-by-step explanation:
16-2t=5t+9
step 1 :group like term to the same side
16-9=5t+2t
step 2 : combine
7=7t
step 3: solve for t
t=7/7
t=1
someone help me please
Answers
Answer:
The answer is 40^1/2
Step-by-step explanation:
The square root's value is - 1/2
so √4 = 4^1/2
Makoto and his friends rolled two fair number cubes 500 times and recorded the sum of the
numbers shown on the cubes each time. On 42 of the trials the sum was 10. Which of these is
most likely the probability that the sum of the numbers shown on the cubes is 10 when two
fair number cubes are rolled?
Pls help please explain it clearly pls
Answers
Answer:
25,050
Step-by-step explanation:
How to calculate grade in class with weighted percentages?.
Answers
Answer:
Multiply the grade on the assignment by the grade weight. In the example, 85 times 20 percent equals 17, and 100 times 80 percent equals 80.
Step-by-step explanation:
Which sentence explains the correct first step in the solution of this equation?
4(x−3)=9
Add 2 to both sides.
Apply the distributive property to get 4x−12=9.
Apply the distributive property to get 4x−3=9.
Subtract 9 from both sides.
Answers
Answer:
B. Apply the distributive property to get 4x-12=9[tex]\boxed{\sf{x=\dfrac{21}{4}=5.25 }}[/tex]
Step-by-step explanation:
Isolate the term of x from one side of the equation.
Use the distributive property.
Distributive property:
[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]
4(x-3)=9Expand the form multiply.
4*x=4x
4*3=12
Rewrite the problem down.
4x-12=9
Add by 12 from both sides.
4x-12+12=9+12
Solve.
Add the numbers from left to right.
9+12=21
4x=21
Divide by 4 from both sides.
4x/4=21/4
Solve.
Divide the numbers from left to right.
x=21/4
21/4=5.25
x=21/4=5.25
Therefore, the final answer is x=21/4=5.25.I hope this helps you! Let me know if my answer is wrong or not.
The answer is B. Apply the distributive property to get 4x−12=9. You would do 4 times x to get 4x and then 4x3 to get 12. Then apply that information to the equation to get 4x−12=9.
61, 98, 60, 60, 57, 81, 93
Mean
Median
Mode
Range
Answers
find the sum of all the values and divide the sum by the number of values.
[tex] \frac{(61 + 98 + 60 + 60 + 57 + 81 + 93)}{7} = \frac{510}{7} [/tex]
[tex] = 72.86[/tex]
median:arrange the values in either ascending or descending, and find the number in the middle.
[tex]57 \: 60 \: 60 \: 61 \: 81 \: 93 \: 98[/tex]
[tex] = 61[/tex]
mode:the most frequently occurred number.
[tex] = 60[/tex]
range:arrange the values in ascending order and subtract the lowest value from the highest one.
[tex]98 - 57[/tex]
[tex] = 41[/tex]
Question 6 of 10
The slope of the line below is -3. Which of the following is the point-slope
form of the line?
5
(2,-2)
O A. y-2 = 3(x+2)
O B. y + 2 = -3(x - 2)
O C. y2 = -3(x+2)
O D. y + 2 = 3(x-2)
Answers
The point-slope form of the line is y + 2 = -3(x - 2). The correct option is B. y + 2 = -3(x - 2)
Point-slope form of an equation of a lineFrom the question, we are to determine the point-slope form of the given line
The point-slope form of an equation of a straight line is written as
[tex]y-y_{1}=m(x-x_{1})[/tex]
Where m is the slope and [tex](x_{1},\ y_{1})[/tex] is a point on the line
From the given information,
m = -3
And in the diagram,
One of the points on the line is (2, -2)
Therefore, we can write that
x₁ = 2 and y₁ = -2
Substituting into the point-slope form of an equation of a line,
We get
y - (-2) = -3(x - 2)
This becomes
y + 2 = -3(x - 2)
Hence, the pointslope form of the line is y + 2 = -3(x - 2). The correct option is B. y + 2 = -3(x - 2)
Learn more on Point slope form of an equation of a straight line here: https://brainly.com/question/8386231
The diagram for the question is attached below.
Mr. Althouse has 3/4 of a quart of orange juice in a pitcher he is using to pour drinks. He needs to fill cups that hold 1/8 of a quart. How many cups will he be able to fill if he uses half of the juice in his pitcher?
Answers
Answer:
the answer should be 6.
Step-by-step explanation:
You have to make the fractions have the same denominator, this can be done by converting the 3/4. In this case you multiply both the denominator and the numerator by 2 to get 6/8. Complete the equation 6/8 ÷ 1/8 to get 6 as the full amount. half of this number would be 3 so the final result is 3.
show how
4
×
3
4
4
×
3
4
can be solved using multiplication and division.
Answers
Answer:
46784
Step-by-step explanation:
You would multiply all.the numbers and then your w
answer will be 46784
The radius, R, of a sphere, is 6.3cm. Calculate the sphere's volume, V.
Use the value 3.14 for, and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Answers
Answer:
V = 1046.9
Step-by-step explanation:
The equation for volume is (4/3)pi r^3
substitute 3.14 in for pi and 6.3 in for r so (4/3)*3.14*6.3^3
Find the missing angle
Answers
Step-by-step explanation:
a + 156° = 180° ( supplementary angle )
a = 180° - 156°
a = 24°
180-156 is a. This is because a plus 156 is 180.
So answer for a is 24. This makes sense since 156 is about 6.5 times bigger than a.
Please mark as best!
A bag of marbles has 3 red and 6 green marbles. What is the probability of selecting two red with replacement?
Answers
Answer:
1/9
Step-by-step explanation:
With replacement, we use the principle of multiplication with counting.
[tex]\frac{3redballs}{9total balls} * \frac{3redballs}{9total balls} = \frac{1}{3}* \frac{1}{3} = \frac{1}{9}[/tex]
The probability of selecting two red marbles with replacement is 1/9.
What is probability?Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain to occur.
If we select a marble at random from the bag, there are 3 red marbles out of 9 total marbles. After replacing the marble back in the bag, the probability of selecting another red marble is still 3/9 (assuming the first marble selected was red).
To find the probability of selecting two red marbles with replacement, we need to multiply the probabilities of each event happening.
Therefore, the probability of selecting two red marbles with replacement can be calculated as follows:
P(selecting two red marbles with replacement) = P(selecting a red marble) x P(selecting a red marble given that the first marble was red)
P(selecting two red marbles with replacement) = (3/9) x (3/9)
P(selecting two red marbles with replacement) = 1/9
Therefore, the probability of selecting two red marbles with replacement is 1/9.
To know more about probability follow
https://brainly.com/question/23947318
#SPJ2
A person invests 6000 dollars in a bank. The bank pays 5.75% interest compounded daily. To the , how long must the person leave the money in the bank until it reaches 11600 dollars?
Answers
Answer:
x=11.5
Step-by-step explanation:
There is a bag filled with 3 blue, 4 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 1 blues?
Answers
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
As you can see, there are 3 blue marbles, and the amount in total is 12, so the answer is 3/12. 3/12 simplified is 1/4.
Hope This Helps! :) Please give brainliest if you can!
PLEASE HELP
Given f(x) = - 5x + 2 g(x) = 1/2 * x + 4 and find f(g(x)) .
Answers
Answer:
-5x/2 - 30
Step-by-step explanation:
Oop I placed it in the wrong spot
Place the give into the formula
f(g(x)) = f(x/2+4)
Plug it in
-5(x/2+4)+2
Simplfy
-5x/2-20-10
Answer:
-5x/2 - 30
A cashier samples the transaction of every 10th person who goes through the line at a craft store. Out of 40 people, 32 used a coupon. If 750 people go to this store each day, how many people would you expect to use a coupon?
Answers
What is the value of the product (3 – 2i)(3 2i)? 5 9 4i 9 – 4i 13
Answers
Answer:
[tex]\left( 3-2i\right) \left( 3+2i\right) =13[/tex]
Step-by-step explanation:
Note :
i² = −1
(a - b)(a + b) = a² - b²
________________
[tex]\left( 3-2i\right) \left( 3+2i\right) =3^{2} - (2i)^2[/tex]
[tex]=9 - (2)^2\times i^2[/tex]
[tex]=9 - 4(i)^2[/tex]
[tex]=9-4\times(-1)[/tex]
[tex]=9+4[/tex]
[tex]=13[/tex]
Answer: (3 – 2i)(3 2i)=13
Step-by-step explanation:
edge2020
Explain the transformation of the graph from f(x)=x^2 to g(x)=x^2-6
Answers
Answer: the graph is shifted 6 units down
Step-by-step explanation:
Jalece and Kaylyn are making brownies and muffins for a bake sale. They make 40 more muffins than brownies. They made a total of 126 sweet items for the sale. How many of each type of baked good did they make?
Answers
I really don't know I hope you can figure it out
Answer: 43 brownies and 83 muffins.
Step-by-step explanation: There are 126 sweet items in total. Jalece and Kaylyn make 40 more muffins than brownies, which means that there are more muffins than brownies. Let's try 83 muffins and 43 brownies to see if it suits what we need. With 83 muffins and 43 brownies, there are 40 more muffins than brownies, so that's correct. 83 and 43 also add up to 126, which is the total that we need.
Therefore, there are 43 brownies and 83 muffins.
Let me know if this is right! :)
akdhdufn I l0ve math gisnf
Answers
I love it too man or girl (・∀・)
Find the measure of each labeled angle.first,find x=……..,m(angle)A=……,m(angle)B=…..,m(angle)C=……..
Answers
Answer:
24
Step-by-step explanation:
you slove the sides and find x
Answer:
x=40 m∠A=100° m∠B=80° m∠C=65°
Step-by-step explanation:
Step 1: Find relationships between the angles (corresponding, alternate exterior, alternate interior, consecutive interior, or consecutive exterior)
Step 2: m∠A + m∠B = 180°
So, (3x-20)° + (2x)° = 180°
Step 3: Solve for x (x=40)
Step 4: Plug in x to the angles
m∠A= 3(40) - 20
m∠B= 2(40)
m∠C= 2(40)-15
