Answers
Answer:
FL = 54°
Step-by-step explanation:
m<MNF = ½(ML + LF) (inscribed angle theorem)
7 + 8x = ½(72 + 7x + 5)
Solve for x
2(7 + 8x) = 72 + 7x + 5
14 + 16x = 72 + 7x + 5
Add like terms
14 + 16x = 77 + 7x
16x - 7x = 77 - 14
9x = 63
x = 63/9
x = 7
✅FL = 7x + 5
Plug in the value of x
FL = 7(7) + 5 = 49 + 5
FL = 54°
Related Questions
If x=7-4 √3 then find the value of (x+1/x)^2
Answers
Answer:
29.03703703
Step-by-step explanation:
7-4 √3 = 5.196152423
(5.196152423 + 0.19245009)^2
Does anyone know the answer?
Answers
Step-by-step explanation:
Yes sure.
a. New value of painting=60/100×$550=$330
b. New value of vase=70/100×$395=$276.5
c. New value of clock=180/100×$1175=$2115
d. New value of chair=95/100×$745=$707.75
Which of the following statements is an opinion?
Answers
There are 4 triangles and 16 squares.what is the simplest ratio of triangles to square
Answers
The ratio of triangles to squares is 4:16 unsimplified because there are 4 triangles and 16 squares. To simplify the ratio, think of it as a fraction:
4/16
The fraction can be simplified to 1/4, meaning that the simplest ratio is 1:4.
Two college instructors are interested in whether or not there is any variation in the way they grade math exams. They each grade the same set of 10 exams. The first instructor's grades have a variance of 58.9. The second instructor's grades have a variance of 84.8. Test the claim that the first instructor's variance is smaller. (In most colleges, it is desirable for the variances of exam grades to be nearly the same among instructors.) The level of significance is 10%. (Recall: that the larger of the 2 variances needs to be in the numerator as the test is 1-tailed to the right)
Answers
Answer:
Since the calculated value of F = 1.4397 is less than the critical value of
F (9,9)= 2.4403 we conclude that the first instructor's variance is smaller and reject H0.
Step-by-step explanation:
1)Formulate the hypothesis that first variance is equal or greater than the second variance
H0: σ₁²≥σ₂² against the claim that the first instructor's variance is smaller
Ha: σ₁²< σ₂²
2) Test Statistic F= s₂²/s₁²
F= 84.8/ 58.9= 1.4397
3)Degrees of Freedom = n1-1= 10-1= 9 and n2 = 10-1= 9
4)Critical value at 10 % significance level= F(9,9)= 2.4403
5)Since the calculated value of F = 1.4397 is less than the critical value of
F (9,9)= 2.4403 we conclude that the first instructor's variance is smaller and reject H0.
Solve for y: 3d = 7y + 5
Answers
Answer:
d = [tex]\frac{7y+5}{3}[/tex]
Step by step explanation:
3d = 7y+5
Divide both sides by 3
[tex]\frac{3d}{3}[/tex]= [tex]\frac{7y}{3}[/tex]+ [tex]\frac{5}{3}[/tex]
Simplify
[tex]\frac{7y+5}{3}[/tex]
Let x2
+ 10x = 6.
What values make an equivalent number sentence after completing the square?
Answers
Answer:
3/5 OR 0.6
Step-by-step explanation:
Find the measured of the numbered angles in the rectangle. Geometry Chapter 7.4
Answers
Answer:
∠3 = 18°
∠4 = 144°
∠2 = 36°
∠1 = 72°
Step-by-step explanation:
From the concept of alternate interior angles,
∠3 = 18°
Since the diagonal divides the rectangle into 4 parts with 2 of the rectangles being similar.
Then, the triangle with ∠3 & ∠4 is an Isosceles triangle and as such;
∠4 = 180 - 2(∠3)
∠4 = 180 - 2(18)
∠4 = 180 - 36
∠4 = 144°
∠2 = 180 - ∠4 (because sum of angles on a straight line is 180°)
∠2 = 180 - 144
∠2 = 36°
Like it was done for angle ∠4 above;
∠1 = (180 - 36)/2
∠1 = 144/2
∠1 = 72°
A child weighing 59 lb has a bad infection and is to be given Cefaclor.
The dosage is 15 mg per kg.
The drug will be delivered in an oral suspension with concentration 250 mg/5 mL.
How many mL will she receive?
Round to the nearest whole number.
You will need to convert her weight to kg, using 1 kg = 2.2 lb.
Answers
Answer:
Step-by-step explanation:
59:2,2=26,81
15*26,81:250=1,6086
When driving in England, Brian drove through several speed cameras. On one drive, Brian left his hotel and after 7 minutes he was 2.5 km away and at that moment was measured going 0.5 kpm (kilometers per minute). Later, 18 minutes after he started driving, he was 14.8 km from the hotel and at that moment was measured going 0.8 kpm.
A. Find the linearization at 7 minutes.
B. Find the linearization at 18 minutes.
C. Compute two approximations for Brian's distance from his hotel at 14 minutes, using the linearizations from parts a and b.
D. Which approximation do you think is better? Why?
Answers
Solution :
The formula for the linearization of a function [tex]$f(x)$[/tex] at a point [tex]$x$[/tex] = a is given as
[tex]$L(x)=f(a)+(x-a)f'(a)$[/tex]
Assuming the time is t and the distance travelled is [tex]$f(t)$[/tex], that makes the speed as [tex]$f'(t)$[/tex].
So substituting them in the linearization formula,
A. At t = 7 minutes
f(7) = 2.5 km
f'(7) = 0.5 kpm
∴ [tex]$L_7(t)=f(7)+(t-7)f'(7)$[/tex]
[tex]$=2.5+(t-7)0.5$[/tex]
[tex]$=2.5+0.5t-3.5$[/tex]
[tex]$=0.5t-1$[/tex]
B. At t = 18 minutes
f(18) = 14.8 km
f'(18) = 0.8 kpm
∴ [tex]$L_{18}(t)=f(18)+(t-18)f'(18)$[/tex]
[tex]$=14.8+(t-18)0.8$[/tex]
[tex]$=14.8+0.8t-14.4$[/tex]
[tex]$=0.8t-0.4$[/tex]
C. Substituting the value of t as 14 in both the linearization to determine the position at 14 minutes, we get
[tex]$L_7(14)=0.5(14)-1.0$[/tex]
= 7 - 1
= 6 km
[tex]$L_{18}(14)=0.8(14)+0.4$[/tex]
= 11.2 + 0.4
= 11.6 km
D. According to the linearization at 7, the distance travelled between the 7 minutes and 14 minutes is = 6 km - 2.5 km
= 3.5 km
And between the 14 minutes and 18 minutes is = 14.8 km - 6 km
= 8.8 km
This is an average speed of 0.5 kpm in the first interval and an average speed of 2.2 kpm.
Now, according to the linearization of 18, the distance travelled between the 7 minutes and the 14 minutes is = 11.6 km - 2.5 km
= 9.1 km
And between 14 minutes and 18 minutes is = 14.8 km - 11.6 km
= 3.2 km
This gives an average speed of 1.3 kpm in the first interval and 0.8 kpm in the second interval.
Therefore, the second approximation is the better one since the average speed are closer to the actual readings in the second linearization.
How much is 24% of 78,000
Answers
Answer: 18,720
Step-by-step explanation:
Let's take this equation
78,000(n)
n will equal 0.24, since we are trying to find 24% of 78,000
78,000(0.24)
18,720
Answer:
18720
Step-by-step explanation:
24/100 × 78,000
=18720
find the length of the unknown side
Answers
Answer:
20
Step-by-step explanation:
15^2 + b^2 = 25^2
Can someone help me with this? I am a little confused
Answers
Tricia looked at a map of an amusement park that used the scale 1 inch = 1 meter. On the map the roller coaster was 5 inches from the ice cream stand. When Tricia gets off the roller coaster, how far will she have to walk to get to the ice cream stand?
A. 3 inches
B. 6 inches
C. 4 meters
D. 5 meters
Answers
Answer:
D = 5 meters
Step-by-step explanation:
1 inch = 1 meter
5 inch = 5 meter
Whatever you do to one side you do the same to the other.
Pls help me with this
Answers
hope this helps! sorry if i’m wrong:)
Help will give brainly of aw ser is right
Answers
Answer:
40 is your answer:)
Step-by-step explanation:
4x3= 12
12/2=6
6x4=24
4x4=16
24+16= 40
X^2/3 •5x =5x^5/3
Can someone explain how the exponent is 5/3?
Answers
***** Help asap! *****
Answers
Evaporation and Transpiration
Terminology
- Evaporation - process by which liquid water
passes directly to the vapor phase
Transpiration - process by which liquid water
passes from liquid to vapor through plant
metabolism.
Answers
Answer:
well done
Step-by-step explanation:
what is the expression for one-sixth of the sum of 7 and s plus the product of 2 and q
Answers
Answer:
= [tex]\frac{1}{6}[/tex] (7 + s) + ( 2 × q )
I'm pretty much sure that this is correct.
the graph (shown in red) below shows the solution set of which inequality?
Answers
Answer:
I think that is a
Step-by-step explanation:
help me please :(*****
Answers
Answer:
54
dcutvihvihvtuutcigciyvihvihvo
Answer:
Step-by-step explanation:
Find the slope of the line.
Answers
order the numbers 0.3, 2/5, -0.85, 0.09, 3/4, 3/20 least to greatest
Answers
Answer:
-0.85, 0.09, 3/20, 0.3, 2/5, 3/4
Step-by-step explanation:
Turn all the fractions into decimals
2/5 -> .4
3/4 -> .75
3/20 -> .15
Then order them
-.85, 0.09, 0.15, 0.3, 0.4, 0.75
Angles c and d are complementary. If angle c is 2x and angle d is 66, what is the value of x?
Answers
Answer:
x=12
Step-by-step explanation:
Complementary angles add up to 90 degrees. 90-66=24. 24 divided by 2 is 12.
PLEASE ANSWER WITHIN THE NEXT 5 MINUTES!!!!!!! Kara and Steven are biking around a 105 kilometer path. They start biking from the same place, at the same time. Kara bikes at a speed of 15 km/h and Steven bikes at a speed of 30 km/h. How long will it take Steven to be at the same place at the same time with kara.
Answers
Step-by-step explanation:
105/30=3.5 hours for steven
105/15=7 hours for Kara.
they would be b at the same place in 7 hours when Kara catches up at 105km lol
Answer:
7 hrs
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Each of three friends flips a coin 36 times.Angel records ”tails” 20 times,Santi records “tails” 17 times.Kataleya records “tails” 23 times. Find the relative frequency with which each friend records “tails” Which friend has a relative frequency that is closest to the theoretical probability of flipping “tails” 36 times?Explain.
Answers
Answer:
The one with 17
Step-by-step explanation:
Heads/tails=1/2 or 50%
20/36=56%
17/36=47%
20/36=64%
47% is closer to 50%
Can somebody help please
Answers
if you actually know plz give an explanation to the answer so i know you aren't just answering for points, please help this is due before 12:00
Answers
Answer:
B
Step-by-step explanation:
There is a 1/4 probability of getting an A out of a bag with letter MATH
For B) There are two A's our of 8 letters is ADMIRALS.
2/8 is the same as 1/4
The answer is B
A) is wrong because that 1/6
C) is wrong because that's 1/8
D) is wrong because that's 2/9
Answer:
B
Step-by-step explanation:
Probability of finding A in a word = number of A / number of letters in that word
Probability of finding A in MATH = 1/4
A. Probability of finding A in BECAME = 1/6
B. Probability of finding A in ADMIRALS = 2/8 = 1/4
C. Probability of finding A in USERNAME = 1/8
D. Probability of finding A in AFTERMATH = 2/9
So we have a match with option B
HELP NEEDED PLSS
Given the following diagram, find the trigonometric ratios.
Leave answers as reduced fractions (improper fractions are fine).
B
sinA=
COSA =
Answers
Answer:
Sin A = 3/5
Cos A = 4/5
Step-by-step explanation:
To find trigonometric ratio, recall SOHCAHTOA.
Thus:
Reference angle = <A
Opposite side to <A = 6
Adjacent side = 8
Hypotenuse = AB = √(8² + 6²) = 10 (pythagorean theorem)
Therefore,
✔️Sin A = Opp/Hyp
Sin A = 6/10 = 3/5
✔️Cos A = Adj/Hyp
Cos A = 8/10 = 4/5