Answer:
BC ≈ 10.4 mm(1 decimal)
Step-by-step explanation:
The question forms a right angle triangle. The angle BAC = 90°. The side AB = 7.3 mm and the side CA = 7.4 mm. The length of BC can be solved below.
AC = opposite side = 7.4 mm
AB = adjacent side = 7.3 mm
BC = hypotenuse = ?
Using pythagoras theorem we can find the longest side which is the hypotenuse
c² = a² + b²(pythagoras formular)
where
c = hypotenuse side
BC² = 7.4² + 7.3²
BC² = 54.76 + 53.29
BC² = 108.05
square root both sides
BC = √108.05
BC = 10.3947101931
BC ≈ 10.4 mm(1 decimal place)
Please help with this question. Thank you.
Answer:
t = 4
Step-by-step explanation:
Substitute the variables with the information provided.
205 = 100 + 12(6) + 5(t) + 7(4) + 5(5) - 8(5)
Simplify
205 = 100 + 72 + 5t + 28 + 25 - 40
20 = 5t
t = 4
Given f(x)=x^3+2x+k.
and x+1 is a factor of f(x), then what is the value of k?
Answer:
k = 3.
Step-by-step explanation:
By the Factor Theorem. if x+a is a factor of f(x) then f(-a) = 0.
Here we use f(-1):
f(-1) = (-1)^3 + 2(-1) + k = 0
-1 - 2 + k = 0
k = 3.
PLZ HELP ASAP!!! 21 POINTS
What is 20% of 25?
A. 3
B. 4
C. 5
D. 6
Answer:
5 is the answer I hope it helps
Question
A train travels for 30 miles at an average speed of 25
mph. How many minutes will it take to complete
the journey?
Answer:72 minutes
Step-by-step explanation:
30/25= 1.2 * 60= 72
I cannot figure this out for the life of me! Can someone help me out? Ignore the stuff written down.
============================================================
Explanation:
Focus on the slanted side of the parallelogram, which is 26 units long. The opposite side to this is also 26 units long since opposite sides of any parallelogram are always congruent.
Now turn your attention to the triangle formed by that dashed line. Specifically this is a right triangle. It has a legs of x and 10, where x is the unknown height (also the height of the parallelogram). The hypotenuse of this right triangle is 26 units as mentioned in the previous paragraph.
Use the pythagorean theorem to find x
a^2+b^2 = c^2
10^2+x^2 = 26^2
100+x^2 = 676
x^2 = 676-100
x^2 = 576
x = sqrt(576)
x = 24
This is a 10,24,26 right triangle, which is based on the 5,12,13 right triangle (divide every part by 2)
-------------------
Now that we know the height of the parallelogram, the area is simply base times height
area of parallelogram = base*height = 32*24 = 768
Then we subtract off the area of the shaded gray rectangle, so we subtract off 7*16 = 112 to get 768 - 112 = 656 and this is the area of the unshaded region inside the parallelogram.
-------------------
Side note: The hypotenuse of 10*sqrt(2) you wrote down would only be correct if that dashed height line was 10 units.
Simplify these expressions
a) 5 x x
b) 6 xxxy
c) 2 xxx 3xy
Find the slope
Tysm!!! I need help asap
Answer:
2/3
Step-by-step explanation:
start at the first point and count up and then over. it is 2 squares UP, and 3 squares OVER. remember rise over run, rise (2) on top and run (3) on bottom!
Answer:
M = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The two coordinate points given are (2,2) and (-1,0).
We can use the slope formula to find the slope.
[tex]Slope(m)=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{0-2}{-1-2}[/tex]
[tex]m=\frac{-2}{-3} or \frac{2}3}[/tex]
A flashlight battery manufacturer makes a model of battery whose mean shelf life is three years and four months, with a standard deviation of three months. The distribution is approximately normal. One production run of batteries in the factory was 25,000 batteries. How many of those batteries can be expected to last between three years and one month and three years and seven months?
a. 21,025 batteries
b. 8,525 batteries
c. 17,050 batteries
See the attached picture.
The answer is c. 17,050 batteries
The number of expected batteries to last between 3 years and one month and 3 years and seven months is 17,050 batteries.
Option C is the correct answer.
What is z-score?A z-score also called a standard score is a measure of how many standard deviations a data point is away from the given mean of a distribution.
It measures the unusual or extreme a particular data point is compared to the rest of the distribution
We have,
First, we need to standardize the range of shelf life between three years and one month (3.08 years) and three years and seven months (3.58 years) using the formula:
z = (x - μ) / σ
where x is the shelf life in years, μ is the mean shelf life in years, and σ is the standard deviation in years.
Now,
For the lower bound:
z = (3.08 - 3.33) / 0.25
z = -1.00
For the upper bound:
z = (3.58 - 3.33) / 0.25
z = 1.00
Now,
We use a standard normal distribution table or calculator to find the area under the curve between z = -1.00 and z = 1.00, which represents the proportion of batteries that can be expected to last between three years and one month and three years and seven months.
This area is approximately 0.6826.
Finally,
We multiply this proportion by the total number of batteries in the production run to find the expected number of batteries that meet the criteria.
expected number = proportion x total number
expected number = 0.6826 * 25,000
expected number ≈ 17,065
Therefore,
The number of expected batteries is 17,050 batteries.
Learn more about z-score here:
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Please help with this work
Answer:
B = 80
Step-by-step explanation:
y = 4x
y = 1/2x + 280
Substitute one equation into another.
4x = 1/2x + 280
Combine like terms
3.5x = 280
x = 80
The number of posters that Jason needs to sell so that the cost and revenue are equal will be 80. Option B is correct.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The amount of revenue in dollars, y, that Jason receives from selling x posters is given by the equation y = 4x. The cost of producing x posters is given by the equation y = (1/2)x + 280.
Then the number of posters that Jason needs to sell so that the cost and revenue are equal will be given as,
4x = (1/2)x + 280
4x - (1/2)x = 280
(7/2)x = 280
7x = 560
x = 80
The number of posters that Jason needs to sell so that the cost and revenue are equal will be 80.
More about the function link is given below.
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Any help on these problems would be great! Thanks!
Answer:
17. 600 18. C.relative
Step-by-step explanation:
17. 900/3=300, but because she uses 2 tires at the same time you have to multiply it by 2
18. there is no actual coordinate so it wouldn't be absolute, and combination isn't a thing
Carly's family traveled 3/10 of the distance to her grandmother's house on Saturday. They traveled 3/7 of the remaining distance on Sunday. What fraction of the total distance to her grandmother's house was traveled on Sunday?
Answer:
3/10 of the total distance to her grandmother's house was traveled on Sunday
Step-by-step explanation:
Carly's family traveled distance of Saturday = [tex]\frac{3}{10}[/tex]
Remaining distance =[tex]1-\frac{3}{10}=\frac{7}{10}[/tex]
They traveled 3/7 of the remaining distance on Sunday.
So, Distance traveled on Sunday =[tex]\frac{3}{7}(\frac{7}{10})[/tex]
Distance traveled on Sunday =[tex]\frac{3}{10}[/tex]
Fraction of the total distance to her grandmother's house was traveled on Sunday =[tex]\frac{3}{10}[/tex]
Hence 3/10 of the total distance to her grandmother's house was traveled on Sunday
Solve: log (7t + 2) = 2
t =
Answer:
t = 14
Step-by-step explanation:
log (7t + 2) = 2
Raise each side to the power of 10
10 ^log (7t + 2) =10^ 2
7t+2 = 100
Subtract 2 from each side
7t+2-2 = 100-2
7t = 98
Divide each side by 7
7t/7 = 98/7
t = 14
Answer:
[tex]t=14[/tex]
Step-by-step explanation:
We begin with the equation: [tex]log(7t+2)=2[/tex]
The first thing we must do is remove the log. In this case, the base of this log is 10, which means that we must have each side of this equation have a base of 10.
This gives us
[tex]10^{log(7t+2)} =10^2[/tex]
The base 10 and the log will cancel out to give us
[tex]7t+2=100[/tex]
Then we can solve for t
[tex]7t+2=100\\\\7t=98\\\\t=\frac{98}{7} \\\\t=14[/tex]
Which of these statements is true? Check all that apply. CDs have a higher mean than digital. The range of digital is 800. The median of CDs is 400. Both have the same interquartile range. Both have the same median. Digital's mean is around 467.
Bar chart associated with the question is attached below
Answer:
Range of digital is 800
CDs have a higher mean than digital
Digital's mean is around 467.
Both have the same interquartile range
Step-by-step explanation:
CDs have a mean higher than digital
Range of digital is 800 (900 - 100 = 800)
Both have the same interquartile range
(Q3 - Q1)
DIGITAL :
(900+700+500+300+300+100)
700 - 300= 400
CDs:
(1000+800+800+600+400+200)
800 - 400= 400
Digital mean :
(900+700+500+300+300+100) / 6
2800/6 = 466.67 = 467
CD mean :
(1000+800+800+600+400+200) /6
=633.333
Median of CD:
1000+800+800+600+400+200
(800+600)/ 2 = 700
Median of Digital :
(500+300)/2 = 400
Answer:
A: CDs have a higher mean than digital.
B: The range of digital is 800.
D: Both have the same interquartile range.
F: Digital’s mean is around 467.
Step-by-step explanation:
edg2020
Factor completely.
28 - 7x^2
Answer:
7 (2 + x ) ( 2 − x )
The factored form of the given binomial is 7(x+2)(2-x)
What are the factors?A factor is a number that divides another number, leaving no remainder.
Given is a binomial, we are asked to factorize it,
28 - 7x²
7(4) - 7(x²)
= 7(4-x²)
= 7(x+2)(2-x) {∵ a² - b² = (a+b)(a-b)}
Hence, the factored form of the given binomial is 7(x+2)(2-x)
Learn more about factors, click;
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Which of the following equations has the same solution as m - (-62) = 45?
1.) 25 - x = 8
2.) 120 + x = 13
3.) 120 - x = 13
4.) x + 25 = 8
Answer:
Step-by-step explanation:
m + 62 = 45
m = -17
x + 25 = 8
x = -17
HELP ITS A TIMED FINAL
Answer:
10 months
Step-by-step explanation:
So you should pick equation B, since it fits all the criteria.
Solve it:
25m + 33950 = 35700 - 150m
175m = 1750
m = 10
What is the greatest four digit number that can be made using the digits 3,1,6, and 4?
Answer:
6,431
Step-by-step explanation:
On Wednesday, Joel, who is right-footed, takes exactly 20\%20%20, percent of his practice shots on goal with his left foot. Joel takes 141414 shots with his left foot.
How many total shots on goal did Joel take on Wednesday?
Answer:
5
Step-by-step explanation:
Answer:
Joel took 70 total shots on goal on Wednesday.
Step-by-step explanation:
Of Joel's total shots on goal, 20 percent were with his left foot. He took 141414 shots with his left foot. 14 is 20, percent of what number?
solve similar triangles
Answer:
7.5 ?
Step-by-step explanation:
Answer:
7.5
Step-by-step explanation:
We are given information that the two triangles are similar and we want to work out the length of "t" . Since these 2 triangles are similar, it means that a scale factor is used to enlarge the sides, we can work out the scale by dividing QP by LJ and RP by KJ so,
QP ÷ JK = 25 ÷ 5 = 5
RP ÷ JL = 22.5 ÷ 4.5 = 5
So we can see the scale factor is 5, now all we need to do is multiply the scale factor by 1.5 to find the value of t
1.5 × 5 = 7.5
The value of t is 7.5
write a function for this table -- urgent -- I'm putting all my points into this!!!! -- bad answers reported! -- no explanation necessary
Answer:
[tex]3x^{2} -3x-6[/tex]
Step-by-step explanation:
The circumference of a circle can be found using the
formula C = 2rer.
Which is an equivalent equation solved for
r = CT
Or= C(20)
O
ra
2T
2m
re
쯘
Answer:
C /2pi = r
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi*r
We want to solve for r
Divide each side by 2 pi
C / 2pi = 2*pi*r / 2pi
C /2pi = r
The shaded portion of each model represents
1
10
110
.
Which can be used to find the total shaded area in all 4 models?
Can you please help me and i will give you a Brainiest
Answer:
the answer might be 'scariest zoo animal'
Step-by-step explanation:
hope this helps
Answer:
i think the answer is "favorite zoo animal"
Step-by-step explanation:
because one thing that can't be an answer is "scariest zoo animal" because otter has the most vote and a lion or bear is scarier than a otter, so it can't be "scariest class pet* cause of the same reason. it can either be *favorite class pet" or "favorite zoo animal". if you see, in that on if we see the chart lion has the second highest votes and lion can't be a class pet, so it is "favorite zoo animal"
Kim's softball team was playing in the championship game. When there were 444 innings left, the team was losing by a score of 171717 to 666 points. In the last 444 innings, her team scored the same number of points per inning, and the other team did not score any more points. Kim's team won with the most points.
Write an inequality to determine the number of points per inning, ppp, Kim's team could have scored.
Answer:
Hello and welcome to Brainly! Thank you for posting your first question! I hope you enjoy your time here on Brainly!
The awnser to your question is. The required inequality is 6+4p>17
Step-by-step explanation:
Let p represent the number of runs per inning.
It is given that the team scores the same number of runs per inning and the other team did not score any more points. So, the total score of other team after last four inning is 17.
Kim's team total score in last four inning is 4p. So, the total score of Kim's team after last four inning is
Kim's team win if the total score of other team after last four inning is less than the Kim's team.
Hope this helped!!
a soup can has a diameter of 8 cm and a height of 12 CM what is the volume of the soup can use 3.14 for pi
Answer:
V = 602.88 cm cubed
PLEASE HELP ASAP 50 PTS
Answer:
3. AC
4. DC
Step-by-step explanation:
3. The largest interior angle and side are opposite each other.
The largest angle is angle B so AC is the longest side
4. The smallest interior angle and side are opposite each other.
The smallest angle is A so DC is the shortest side
Answer:
dc is the correct answer
Step-by-step explanation:
Find cos x if sin2x-1/cosx =-1
Answer:
1
Step-by-step explanation:
Help please!!!! 50 points!!!!
Amara has taken out a fixed rate mortgage for $125,000 at 4.04% for 20 years, or 240 months. Her payments are $730. What is the total cost of the loan?
A. $130,050
B. $175,200
C. $211,680
D. $226,000
Answer:
182,427.03
Step-by-step explanation:
total cost = r*p*n
---------------
1- (1+r) ^-n
Where r is the loan rate, p is the principal, n is the number of payments
rate = 4.04% / 12 months
total cost = (.0404/12)* 125000* 240
------------------------------
1- (1+.0404/12)^-240
101000
-----------------
1-.44635
101000
-----------------
.55364
182,427.03
Using Payments are 730 *240 months
730*240 =175200
A company is offering 1 grand prize, 3 second place prizes and 25 third place prizes. Out of 500 total entries, what is the probability of getting a third place prize?
Answer:
1/20
Step-by-step explanation:
25 prizes out of 500=25/500=1/20
does anybody know where i can watch baruto DUB all episode for free no downloads not 9 anime, not Hulu,!!!!!
Answer:
Im pretty sure there isnt a way to be able to watch it for free, but good luck!
Step-by-step explanation:
Answer:
i cant give you the link, but it's on for free at animelabs.
Step-by-step explanation:
How is this math?