The given proportion of triangle ABC as AE/AD = EB/DC is; Not Accurate
Understanding Basic proportionality theorem(Thale's Theorem)This theorem states that If a line is drawn parallel to one side of a triangle, then it cuts other two sides proportionally.
Thus, In ΔABC, DE || BC
By Thales theorem, we can say that;
AD/DB = AE/EC
Rearranging we can arrive at;
AE/AD = EC/DB
When we simplify further by adding 1 to both sides, we will get;
AD/AB = AE/AC
Thus, the given proportion is not accurate
Read more about Basic Proportionality Theorem at; https://brainly.com/question/14417137
A manufacturing corporation make tires with a probability 0.79 of lasting over 3,000 miles. What is the probability of exactly seven out of the next eight tires lasting over 3,000 miles?
(Round your answer to three decimal places.)
Answer:
A manufacturing corporation make tires with a probability 0.77 of lasting over 3,000 miles.
Step-by-step explanation:
The probability of exactly seven out of the next eight tires lasting over 3,000 miles will be 0.32.
How to find that a given condition can be modelled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
Bernoulli's trials are those trials which end up randomly either on success (with probability p) or on failures (with probability 1- p = q (say))
The probability that out of n trials, there'd be x successes is given by
[tex]\rm P(X =x) = \: ^nC_x \ p^x(1-p)^{n-x}[/tex]
A manufacturing corporation make tires with a probability 0.79 of lasting over 3,000 miles.
The probability of exactly seven out of the next eight tires lasting over 3,000 miles will be
P(x = 7) = ⁸C₇ (0.79)⁷ (1 – 0.79)⁽⁸⁻⁷⁾
P(x = 7) = 0.32
Learn more about binomial distribution here:
https://brainly.com/question/13609688
#SPJ2
Solve for n. Isolate it on the left side. Attached is a picture of the equation.
Will mark Brainliest! :)
Answer:
Let's solve your equation step-by-step.
a=p(1+rn)nta=p(n+rn)nt
Step-by-step explanation:
Teresa works as a tutor for 7 an hour and as a waitress for 12 an hour. This month, she worked a combined total of 97 hours at her two jobs.
Let 't' be the number of hours Teresa worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month.
Answer:
12t + 7(96 - t) = 12t + 672 - 7t = 5t + 672
Step-by-step explanation:
96-t number of hours as a waitress
Let t number of hours as a tutor
12t + 7(96 - t) = 12t + 672 - 7t = 5t + 672
A car salesperson had $85.460 in total monthly sales in September and $74,570 in October. The salesperson earned a total of $3.485 in commission from those sales combined. What is the salesperson's commission as a percent of the total monthly sales? Enter your answer, rounded to the nearest tenth of a percent, in the box.
Answer:
3.485
[tex] \div 2[/tex]
1.7425
Step-by-step explanation:
3.485
[tex] \div [/tex]
2
Answer:
2.2
Step-by-step explanation:
I took the quiz
Write 1/8 in two equivalent forms decimal and percent
Answer:
Fraction Form: 1/8
Decimal Form: 0.125
Percent Form: 12.5%
the abscissa of a point is -6 and its distance from the point (1,3) is √74. find the ordinate of the point
[tex]\huge\fbox{Answer ☘}[/tex]
we know that ,
• absicca of a point = x - coordinate of that point
• ordinate of a point = y - coordinate of that point
therefore , let the point be A( -6 , y )
also ,
we're given an another point , i.e. ,
B( 1 , 3 )
[tex]distance \: between \: the \: two \: points = \sqrt{74} \\ \\ \sqrt{( x_{2} - x_{1}) {}^{2} \: + ( y_{2} - y_{2}) {}^{2} } = \sqrt{74} \\ \\ \sqrt{(1 - ( - 6)) {}^{2} + (3 - y) {}^{2} } = \sqrt{74} \\ \\ \sqrt{(7) {}^{2} + (9 + y {}^{2} - 6y)} = \sqrt{74} \\ \\ \sqrt{49 + 9 - y {}^{2} - 6y} = \sqrt{74} \\ \\ ✯\:\:\bold\blue{squaring \: both \: sides} \\ \\ 49 + 9 - y {}^{2} - 6y = 74 \\ \\ - y {}^{2} - 6y + 58 = 74 \\ \\ y {}^{2} + 6y - 58 = - 74 \\ \\ y {}^{2} + 6y - 58 + 74 = 0 \\ \\ y {}^{2} + 6y - 16 = 0 \\ \\ y {}^{2} + 8y - 2y - 16 = 0 \\ \\ y(y + 8) - 2(y + 8) = 0 \\ \\ (y + 8) = 0 \: \: and \: \: (y - 2) = 0 \\ \\ y = - 8 \: \: or \: \: y = 2[/tex]
therefore , the ordinate of point A is either ( -8 ) or ( 2 )
hope helpful~
PLEASE PLEASE HELP AND PLEASE
Answer:
Step-by-step explanation:
Part A is -6
Because 7 - 13 is -6 so at 9 am it was -6 degrees
Part B is -7.5 degrees
Because 6 x -1.25 = -7.5
I NEED HELP WITH THESE 2 QUESTIONS ASAP!
Answer:
a) 2, 4, 8, 32, 60
b) 2, 4, 32, 64, 120
Step-by-step explanation:
a)The numerator is 1/2 the denominator, or the denominator is 2 times the numerator.
[tex]\dfrac{1}{2}=\dfrac{2}{4}=\dfrac{4}{8}=\dfrac{8}{16}=\dfrac{16}{32}=\dfrac{30}{60}[/tex]
__
b)The numerator is 1/4 the denominator, or the denominator is 4 times the numerator.
[tex]\dfrac{1}{4}=\dfrac{2}{8}=\dfrac{4}{16}=\dfrac{8}{32}=\dfrac{16}{64}=\dfrac{30}{120}[/tex]
anyone know the answer to this?
Answer:
0.99.Step-by-step explanation:
Remove the decimal point.
Then, divide.
I'll show you an image.
Mason playing board games he would like to design games has a Job Center, Mason has decided to make his own board his game uses around spinner Mason divides the spinner into eight equal Spaces Mason favorite color and leave the other six pieces of white what fraction of the spinner does mason paint his favorite color
Answer:
I think the answer is for the color of the spinner is black because i think most og the color is white 6/8 and black is 2
2/8
Step-by-step explanation:
Which of the following triangles are possible to draw? halppppp for 25 points
A triangle with angle measures of 100°, 40°, and 45°.
A triangle with angle measures of 55°, 35°, and 80°.
A triangle with angle measures of 30°, 60°, and 90°.
A triangle with angle measures of 25°, 65°, and 90°.
A triangle with angle measures of 20°, 50°, and 105°.
Anastasia Subscribe to a website for processing her digital pictures The subscription is $6.25 per month and 4-by -6 inches prints are $ 0.25 each how many prints dose Anastasia Purchase if the charge for January is $15.75 ?
total cost = 6.25 + 0.25 x
15.75 - 6.25 = 0.25 x
9.5 = 0.25 x
x = 38 prints
I need help on question 16
Answer:
more than 22
Step-by-step explanation:
last year average 21points per game
so they need at least 22 points per game to be better than last year average
to get 22 points per game average (for the first three game)
they need to score total = 22 × 3 games = 66 points
then, minus total score they need to goal
66 - 14 -30
= 22 point more to score
how many distinct ways can the letters in accounting be arranged
Answer:
4 times
Step-by-step explanation:
I tried to see many ways as possible
Find the sum of 3a 2 + 4b 2 , 4a 2 – 3b 2 + 2ab and -4a2 + 2b 2 – 6ab
Step-by-step explanation:
add like term
follow the process and answer is there
How do I solve this problem?
Answer:
it's easy Randi Sali kuti harami is the answer
A circle has an area of 12.251 x pi cm^2
Calculate:
a its diameter
b its circumference
Answer:
A) 3.94
B) 12.40
Step-by-step explanation:
Refer to the work image. You also need the radius to calculate A and B.
5x +(9+17)x320-10 divided by 2
Step-by-step explanation:
Answer is=4027.5
Approximately 4028.
Hope it was helpfull
PLEASE I NEED HELP!! ∠WXY and ∠ZXY are supplementary angles. Find the value of m.
Answer:
m=70°
Step-by-step explanation:
*∠WXY and ∠ZXY are supplementary angles (180°)*
110°+m=180°
110°+m-110°=180°-110°
m=70°
Hope it helps!
A class has 7 boys and 10 girls. Select all associated ratios for this class. ( select more than 1 please )
10:3
7:3
17:5
7:17
10:7
10:17
7:10
3:7
Answer:
7:10
Step-by-step explanation:
The ratio of boys to girls is 7 to 10
Write a common denominator for 1/4 and 5/6 (PLEASE THIS IS DUE TMRR) Also just an answer
The sum of 75 and 45 is divided by 5 and the difference of quotient and 10 is multiplied by 2. (Ans: 28) (Hint:- Make mathematical expressions, then simplify) (Please solve my question)
Answer:
28
Step-by-step explanation:
(((75+45) ÷5) - 10 )2 -> first add 75 and 45
((120 ÷ 5) - 10)2 -> Divide 120 by 5
(24 - 10)2 -> Subtract 24 by 10
(14)2 - > 28
Ans: 28
A test question asks you to find two side lengths of a 45° -45° -90° triangle. You know that the length of one leg is 6, but you forgot the special formula for 45° -45° -90° triangles. Explain how you can still determine the other side lengths. What are the other side lengths?
Answer:
The other leg is 6 and the Hypotenuse is 6√2
Step-by-step explanation:
because it's a 45 45 90 the legs equal and the Hypotenuse is square root 2 times leg
A polygon is broken up into 5 non-overlapping triangles by drawing lines from one vertex to all other non-adjacent vertices. What is the name of the polygon?
pentagon
hexagon
heptagon
octagon
Answer:
It called c. Heptagon
Step-by-step explanation:
Answer:
it’s c :)
Step-by-step explanation:
because there no other Correct answers
what are the solutions to this polynominal when s(x) =0 s(x) (3x^2 + 17x+10 )(x-7)(4x-3) enter your answers in the boxes, from least to greatest.
Answer:
-5, -2/3, 3/4, 7
Step-by-step explanation:
The solutions are solutions of one of the following:
(3x^2 + 17x + 10) = 0, x - 7 = 0, 4x - 3 = 0
The latter two are straightforward: x = 7 or 3/4.
To factor the first, note it must be of the form (3x + __) (x + __)
Check the pairs (10, 1) (1, 10) (5, 2) and (2, 5) and we find:
(3x + 2) (x + 5) = 0
So, we also have solutions -5, -2/3
Answer:-5,-2/3,3/4,7
Step-by-step explanation:
took quiz
3k - 2 = 10
Evaluate the expression
Answer:
k = 4
Step-by-step explanation:
3k - 2 = 10
3k - 2 + 2 = 10 + 2
10 + 2 = 12
3k = 12
3k/3 = 12/3
k = 4
In the triangle shown above, a = 16 cm, b= 12 cm, and c= 8 cm. What is the approximate measure of angle A?
A. 14.48°
B. 75.52°
C.65.56°
D.104.48°
Answer:
I think its A
Step-by-step explanation:
The approximate measure of angle A is 104.48 degrees. The correct option is D.
Given that:
a = 16 cm
b = 12 cm
c = 8 cm
To find the measure of angle A in the triangle, use the law of cosines.
The law of cosines states that for any triangle with sides a, b, and c, and the angle opposite side c, denoted as C:
c² = a² + b² - 2ab × cos(C)
In this case, we want to find angle A, which is opposite side a. So, the equation becomes:
a² = b² +c² - 2bc × cos(A)
Now, plug in the given values:
16² = 12² + 8² - 2 × 12 × 8 × cos(A)
256 = 144 + 64 - 192 × cos(A)
Now, isolate cos(A):
192 × cos(A) = 144 + 64 - 256
192 × cos(A) = -48
cos(A) = -48 / 192
cos(A) = -1/4
Now, to find the measure of angle A, take the inverse cosine (cos^-1) of -1/4:
[tex]A \approx cos^{-1(-1/4)}[/tex]
A ≈ 104.48 degrees.
So, the approximate measure of angle A is 104.48 degrees. The correct option is D.
Learn more about Angle here:
https://brainly.com/question/31818999
#SPJ3
A deck is shaped like a parallelogram with a base length of 27 feet and a height of 11 feet. A can of wood stain will cover 40 square feet.
How many cans of stain will be needed to stain the deck?
Enter your answer in the box.
From the area of the parallelogram, it is found that 8 cans of stain will be needed to stain the deck.
What is the area of a parallelogram?The area of a parallelogram of base length l and height h is given by:
A = lh
In this problem, the dimensions are l = 27, h = 11.
Hence, the area, in square feet, is given by:
A = 27(11) = 297.
Each can cover 40 square feet. How many cans are needed for 297 square feet?
[tex]n = \frac{297}{40} = 7.425[/tex]
Rounding up, 8 cans of stain will be needed to stain the deck.
To learn more about the area of a parallelogram, you can take a look at https://brainly.com/question/17540452
Answer: 8 cans
Here's Proof
Someone please help me!
Answer:
[tex]y= -\frac{8}{7} x - 7[/tex]
Step-by-step explanation:
Hope this helps! :)
5(x+4) simplify by distribtuion
Answer:
5x + 20
Step-by-step explanation:
5(x+4)
5(x) + 5(4)
5x + 20
Hope this helps!