Answer:
7. [tex]c = 15.81[/tex]
8. [tex]b = 16[/tex]
Step-by-step explanation:
Required
Determine the third sides
(7): We have
[tex]b = 5[/tex]
[tex]a = 15[/tex]
[tex]c=??[/tex]
To find c, we make use of Pythagoras theorem
[tex]c^2 = a^2 + b^2[/tex]
[tex]c^2 = 5^2 + 15^2[/tex]
[tex]c^2 = 250[/tex]
[tex]c = \sqrt{250[/tex]
[tex]c = 15.81[/tex]
(8): We have
[tex]c = 20[/tex]
[tex]a = 12[/tex]
[tex]b = ??[/tex]
To find c, we make use of Pythagoras theorem
[tex]c^2 = a^2 + b^2[/tex]
[tex]20^2 = 12^2 + b^2[/tex]
[tex]400 = 144 + b^2[/tex]
[tex]b^2 = 400 - 144[/tex]
[tex]b^2 = 256[/tex]
[tex]b = \sqrt{256[/tex]
[tex]b = 16[/tex]
Let x2
+ 10x = 6.
What values make an equivalent number sentence after completing the square?
Answer:
3/5 OR 0.6
Step-by-step explanation:
Does anyone know the answer?
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=$707.75
Help will give brainly of aw ser is right
Answer:
40 is your answer:)
Step-by-step explanation:
4x3= 12
12/2=6
6x4=24
4x4=16
24+16= 40
help me please ? Ill Mark brainlist
Answer:
ching song
Step-by-step explanation:
blig blong
Answer:
D. 39000 m
Step-by-step explanation:
13 km * 3 week * 1000 m(=1 km) = 39000m
A rhombus has a perimeter of 136 inches one diagonal of 60 inches. What is the length of the other diagonal
Answer:
898,9
Step-by-step explanation:
33) 90÷18-18÷6-6÷3=
Preciso de ajudaaaa
Answer:
67
Step-by-step explanation:
(90÷18)-(18÷6)-(6÷3)= 72-3-2= 67
if the nth term of a number sequence is n2-5, find the first 3 terms and the 10th term
9514 1404 393
Answer:
-4, -1, 495Step-by-step explanation:
Use n = {1, 2, 3, 10}.
n^2 -5 = {1, 2, 3, 10}^2 -5 = {1, 4, 9, 100} -5 = {-4, -1, 4, 95}
The first three terms are -4, -1, 4.
The 10th term is 95.
Which number when multiplied by 3 will result in a number smaller than 3?
A) 1.99 B) 1.5 C) 9/11 D) 1.002
Answer:
c bc c is a fraction which is smaller than a #
find the length of the unknown side
Answer:
20
Step-by-step explanation:
15^2 + b^2 = 25^2
When driving in England, Brian drove through several speed cameras. On one drive, Brian left his hotel and after 7 minutes he was 2.5 km away and at that moment was measured going 0.5 kpm (kilometers per minute). Later, 18 minutes after he started driving, he was 14.8 km from the hotel and at that moment was measured going 0.8 kpm.
A. Find the linearization at 7 minutes.
B. Find the linearization at 18 minutes.
C. Compute two approximations for Brian's distance from his hotel at 14 minutes, using the linearizations from parts a and b.
D. Which approximation do you think is better? Why?
Solution :
The formula for the linearization of a function [tex]$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.
Find the slope of the line.
Find the measure of angle BCA.
Answer:
X=16Step-by-step explanation:
[tex]9x + 1 + 5x + 12 + 10x - 37 = 360[/tex]
[tex]24x - 24 = 360[/tex]
Add 24 to both sides
24x/24=384/24
[tex]answer = 16[/tex]
hope it helps!!
Angles c and d are complementary. If angle c is 2x and angle d is 66, what is the value of x?
Answer:
x=12
Step-by-step explanation:
Complementary angles add up to 90 degrees. 90-66=24. 24 divided by 2 is 12.
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
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
How much is 24% of 78,000
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
Pls help me with this
QUICK PLEASE HELP!!!
I’LL MARK BRAINLIEST!!!
Answer:
C) 50
Step-by-step explanation:
50
Answer:
C: 50
Step-by-step explanation:
The inner diamond has congruent sides
Half of the line segment on the left is 25.
The other half of the left line segment is also 25
Together, the left line segment is 50 units
The inner diamond has both 90 degree angles and 18 unit long sides
Thus, we know that both sides are congruent
Finally, the right side is the same length as the left side
The right side is 50 units long
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.
Answer:
Step-by-step explanation:
59:2,2=26,81
15*26,81:250=1,6086
Can someone help me with this? I am a little confused
help me please :(*****
Answer:
54
dcutvihvihvtuutcigciyvihvihvo
Answer:
Step-by-step explanation:
Can somebody help please
Solve for y: 3d = 7y + 5
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]
6) A spinner is
divided into 5 sections
lettered A to E. Lena
spins the pointer on
the spinner 25 times.
She records her
results in the table.
Based on these results,
lands on the letter B?
B is 5
Answer:
1/5
Step-by-step explanation:
there are 5 sections regardless of how many time she rolls it ti does not change the probability of landing on b so it's 1/5
what is the expression for one-sixth of the sum of 7 and s plus the product of 2 and q
Answer:
= [tex]\frac{1}{6}[/tex] (7 + s) + ( 2 × q )
I'm pretty much sure that this is correct.
Find the value of x
Answer: x is 13
Step-by-step explanation:
90 - 67 is 23. Then you figure out what times 2 minus 3 is 23. Which would be 13. 13 times 2 is 26 minus 3 is 23. 67 + 23 is 90 ( right triangle)
Answer:
x=13
Step-by-step explanation:
The two angles are complementary, meaning that they both add up to 90°.
So, since we know that one of the angles is 67°, we can find the other one by subtracting 67 from 90.
90-67=23
So the equation is equal to 23.
2x-3=23
Add 3 to both sides.
2x=26
Divide both sides by 2.
x = 13
order the numbers 0.3, 2/5, -0.85, 0.09, 3/4, 3/20 least to greatest
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
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)
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.
the graph (shown in red) below shows the solution set of which inequality?
Answer:
I think that is a
Step-by-step explanation:
Which of the following represents the equation of a line that is parallel to 2y - x = 16 and passes through the
point (-6,1)
Answer: it could be d
By I’m smart
Step-by-step explanation:
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.
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