Answers
Answer: x=3
Step-by-step explanation:
One of the properties of diagonals of a rectangle is that they bisect each other, meaning that four segments are equal.
For example, in this question, according to the property, AE, CE, DE, BE will be equal.
Solve:
AE=CE
AE+CE=AC
CE+CE=AC
DB=AC
DB=2CE
(18)=2(4x-3)
18=8x-6
18+6=8x-6+6
24=8x
24/8=8x/8
x=3
Hope this helps!! :)
Please let me know if you have any questions
Related Questions
The base of a right triangle is 12 cm and its area is 210 cm². What is the length of its hypotenuse?
Answers
Answer:
The length of the hypotenuse is 37cm
Step-by-step explanation:
we know that the area of the triangle can be found by 1/2bh. we can plug in what we know into this formula to find the height.
a=1/2bh
210=1/2(12)h
210=6h
h=35cm
now, since it's a right triangle, we can find the length of its hypotenuse by using the pythagorean theorem, using c to represent the length of the hypotenuse:
12^2+35^2=c^2
c^2=144+1225
c^2=1369
c=37
so, the hypotenuse is 37cm
The length of the hypotenuse is 21.22 cm
How to determine the hypotenuse?The given parameters are:
Area = 210
Base = 12
Start by calculating the height using:
Height = Area/Base
This gives
Height = 210/12
Divide
Height = 17.5
The hypotenuse is then calculated using:
Hypotenuse = √(Base^2 + Height^2)
This gives
Hypotenuse = √(12^2 + 17.5^2)
Evaluate
Hypotenuse = 21.22
Hence, the length of the hypotenuse is 21.22 cm
Read more about right triangles at:
https://brainly.com/question/23814470
Mikaela has saved $375 to purchase a new phone. This is of the total price of the phone. What is the price of the phone?
Answers
Answer:
$375
Step-by-step explanation:
If she has saved $375, and the price of the phone is also $375, then the price of the phone must be $375.
In Prof. Leahy's class, if a student does homework most days, the chance of passing the course is 90%. On the other hand, if a student does not do homework most days, the chance of passing the course is only 30%. Prof. Leahy claims that 70% of his students do homework on a regular basis. If a student is chosen at random from Prof. Leahy's class, find the following probabilities:
a. p(the student did not do homework and he/she passed the course)
b. p(the student did not do homework given that she/he passed the course)
Answers
Answer:
a) p(the student did not do homework and he/she passed the course) = 0.09
b) p(the student did not do homework given that she/he passed the course) = 0.125.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. p(the student did not do homework and he/she passed the course)
If a student does not do homework most days, the chance of passing the course is only 30%. 100 - 70 = 30% don't do homework on a regular basis.
So
0.3*0.3 = 0.09
p(the student did not do homework and he/she passed the course) = 0.09
b. p(the student did not do homework given that she/he passed the course)
Conditional probability.
Event A: Passed the course
Event B: Did not do homework.
p(the student did not do homework and he/she passed the course) = 0.09
This means that [tex]P(A \cap B) = 0.09[/tex]
Probability that the student passes the course:
90% of 70%(do homework)
30% of 30%(do not do homework).
This means that:
[tex]P(A) = 0.9*0.7 + 0.3*0.3 = 0.72[/tex]
p(the student did not do homework given that she/he passed the course)
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09}{0.72} = 0.125[/tex]
So
p(the student did not do homework given that she/he passed the course) = 0.125.
Lydia made some cookies, of which 1/3 were chocolate chip, ¾ of the remainder were gingersnaps and the rest were peanut butter. If Lydia made 4 dozen cookies altogether, how many peanut butter cookies did she make?
I mark brainliest by today
Answers
Answer:
8 peanut cookies
Step-by-step explanation:
4 x 12 = 48
48 x 1/3 = 2/3 left (16 chocolate chip)
48-16= 2/3 = 32 left
32 x 3/4 = 24 (24 gingersnaps)
32-24 = 8 ( 8 peanut cookies)
How much soup, to the nearest tenth of a cubic unit, can fit in a cylindrical can that is 8 inches tall and has a diameter of 6 inches?
Answers
Answer:
Step-by-step explanation:
3n^2-5n-6=9 help please!
Answers
Answer:
3n^2 -5n -6 = 9 This is a quadratic Equation.
3n^2 -5n -15 = 0
It is solved with the Quadratic Formula:
n = [-b +-sqr root (b^2 - 4ac)] / 2a
a = 3
b = -5
c= -15
n = [--5 +- sqr root(25 -4*3*-15)] / 6
n = [5 +- sqr root (25 + 180) / 6
n = [5 +-sqr root (205) ] / 6
n = 5 + 14.3178210633 / 6
n1 = 19.3178210633 / 6
n1= 3.2196368439
n2= 5 - 14.3178210633 / 6
n2 = -9.3178210633 / 6
n2 = -1.5529701772
Step-by-step explanation:
If n −−√=9
then n=
Plz help
Answers
9514 1404 393
Answer:
n = 3
Step-by-step explanation:
Any calculator, or your knowledge of multiplication tables, will tell you ...
9 = 3×3
√9 = 3
n = 3
Question 5 (1 point)
If y varies jointly as x and z and y = 18 when x = 2 and z = 3, find y when x is 5 and z is 6.
Answers
Answer:
y = 90
Step-by-step explanation:
If y varies jointly as x and z, then;
y = kxz
If y = 18 when x = 2 and z = 3
18 = k(2)(3)
18 = 6k
k = 18/6
k = 3
To get y when x = 5 and z = 6
y = kxz
y = 3(5)(6)
y = 15*6
y = 90
Hence the value of y is 90
In an effort to reduce boarding time, an airline tries a new method of boarding its planes. Historically, only 32% of passengers were satisfied with the boarding process random sample of 32 passengers using the new boarding process found 44% who said they were satisfied with the boarding process, yielding a test statistic of _______.
(a) What is the p-value of the hypothesis test to determine if this new boarding process resulted in improved passenger satisfaction?______ (4 decimals)
(b) What is the meaning of a Type 11 error in this context? The airline concludes a greater proportion of passengers were satisfied, when in reality, the same proportion of passengers were satisfied.
(c) Which significance level would minimize the likelihood of making a Type II error?
a = 0.01
a = 0.10
Answers
Answer:
Test statistics of 1.455
P-value = 0.0728
Step-by-step explanation:
From the given information:
The test statistics can be computed as:
[tex]Z = \dfrac{\hat p - p }{\sqrt{\dfrac{p(1-p)}{n} }} \\ \\ \\ Z = \dfrac{0.44 -0.32}{\sqrt{\dfrac{0.32(1-0.32)}{32} }}[/tex]
Z = 1.455
We want to test if the customer satisfaction increased significantly(one-tailed test)
Null hypothesis:
[tex]H_o : p= 0.32[/tex]
Alternative hypothesis:
[tex]H_a: p>0.32[/tex]
P-value = P(Z>1.455)
= 0.0728
b) Type II error implies the error of accepting [tex]H_o \ (i.e\ \text{ the null \ hypothesis)}[/tex]when [tex]H_a \ (i.e\ \text{ the alternative \ hypothesis)}[/tex] is true.
This implies inferring that there is no huge improvement in passenger's satisfaction when there is.
c) Type 1 and Type II errors are inversely proportional. In this situation, as one increases, the other definitely decreases.
∴ A Smaller value of Type II error will be achieved by a higher type I error.
⇒ 0.10
Help please mathematical answer pleas and I need it fast
Answers
Answer:
I gave the answer right for this
The graph of f (x) = (x - 2)² + 1 is shown below. What would the new equation of the function be if it is shifted up 2 units?
Answers
Answer:
f (x) = (x - 2)² + 3
Step-by-step explanation:
Adding 2 to the constant k would shift the entire equation upwards by 2.
PLEASE HELP ME SOLVE THIS.
STEP-BY STEP
THANK YOU !!!
I really don't know how to calculate this question.
(3 tan 45°)(4 sin 60°)-(2 cos 30°)(3 sin 30°)
Answers
Answer:
[tex]9\,\sin(60^\circ)[/tex], which is equal to [tex]\displaystyle \frac{9\sqrt{3}}{2}[/tex].
Step-by-step explanation:
An angle of [tex]45^\circ[/tex] corresponds to an isosceles right triangle: the length of the two legs (adjacent and opposite) would be equal. Accordingly:
[tex]\displaystyle \tan(45^\circ) = \frac{\text{Opposite Leg}}{\text{Adjacent Leg}} = 1[/tex].
Let [tex]A[/tex] denote the measure of an angle. Double-angle identity for sine:
[tex]2\, \sin(A) \cdot \cos(A) = \sin(2\, A)[/tex].
By this identity:
[tex]\begin{aligned}& (2\, \cos(30^\circ)) \cdot (3\, \sin(30^\circ)) \\ &= 3\, (2\, \cos(30^\circ) \cdot \sin(30^\circ)) \\ &= 3\, \sin(2 \times 30^\circ) \\ &= 3\, \sin(60^\circ)\end{aligned}[/tex].
([tex]A = 30^\circ[/tex] in this instance.)
Hence:
[tex]\begin{aligned}&(3\, \tan(45^\circ)) \cdot (4\, \sin(60^\circ)) - (2\, \cos(30^\circ)) \cdot (3\, \sin(30^\circ)) \\ &= 12\, \sin(60^\circ) - 3\, \sin(60^\circ) \\ &= 9\, \sin(60^\circ)\end{aligned}[/tex].
[tex]\displaystyle \sin(60^\circ) = \frac{\sqrt{3}}{2}[/tex]. Therefore, [tex]\displaystyle 9\, \sin(60^\circ) = \frac{9 \sqrt{3}}{2}[/tex].
NO FILES I WILL MARK YOU IF RIGHT I ASKED THIS FIVE TIMES ALL I GET IS SCAM FILES!!!!!!!!!!!!! PLZZZZZZ HELP
Answers
Answer:
the answer is the same as D 124 degrees
Step-by-step explanation:
Answer: The answer is 90°
Step-by-step explanation:
Pls helpdjdjdhtv I'm genuinely confused, I've been trying to solve this for like 3 hours
(I need two separate answers for each question but you need the 1st question to answer the second one as it states)
if you help I'll literally be so happysiwjejrb
Answers
Answer:
2) 92.1327412287*
3) $288.71**
Step-by-step explanation:
2)Triangle = 1/2(8)11=44
Rectangle =8x3=24
Semicircle = 1/2[tex]\pi[/tex]r²=1/2[tex]\pi[/tex]4²=24.1327412287
44+24+24.13=92.1327412287
3) 92.1327412287x3.10=288.711497809
*I don’t know what they want it rounded to. I used the real pi, but if the directions say to use 3.14 for pi, it would change the answer
**If the first answer changes, so does the second.
Consider the figure below in which 411122.
a b
cld
4
elf
12
gh
Select the angle(s) that are congruent to Zc.
Options
Answers
Answer:
its a and d
Step-by-step explanation:
This data is an example of
A. a linear function
B. a nonlinear function
C. neither a linear nor nonlinear function - it is not a
function at all
Answers
Answer:
a nonlinear function I think because it's a quadratic one?? kinda
Asma was asked to compare the following two numbers.
A = 6.212 x 108 and B = 4.73 x 10
She says,
“6.212 is bigger than 4.73 so A is bigger than B."
Is Asma correct?
You must give a reason for your answer
Answers
Answer:
No
Step-by-step explanation:
6.212 x 10^8 = 621,200,000
4.73 x 10^9 = 4,730,000,000
Even if we round off both no. to the nearest whole number we get 6 and 5 respectively.
That’s how we can also know which no. is bigger. The bigger no. is 6.212 and if we solve the equation, we get the answers
670.896 and 47.3 respectively.
So A is bigger than B in the two aspects mentioned above.
Hope this helped and have a nice day : )
This is due today!
A weather station on the top of a mountain reports that the temperature is currently 0 degrees Celsius and has been falling at a constant rate of 3 degrees per hour. If it continues to fall at this rate, what will the temperature be in 2 hours, and in 5 hours
Answers
Answer:
in 2hrs = -6°C
in 5hrs = -15°C
in half an hr = -1.5°C
Step-by-step explanation:
in an hr, the temperature falls by 3°C = 0 -3 = -3°C
in 2hrs = 2*-3°C = -6°C
in 5hrs = 5*-3°C = -15°C
in half an hr = 0.5 * -3°C = -1.5°C
Step-by-step explanation:
Answer:
Wouldnt the temperture go up or down.. if its going up when in 2 hours the temperture would be at 6 degree and for 5 hours its would be at 15 degrees.
Step-by-step explanation:
3+2 5+3
PLEASE ANSWER K WILL GIVE BRAINLIEST!!
topic: solving word problems involving linear inequalities in one variable.
Sarah is 4 years older than Jonalyn. Seven years ago, the sum of Sarah's age and
Jonalyn's age is greater than 26. What is the least age of Jonaly?
Answers
Answer:30
Step-by-step explanation:26+4
help, easy math. will mark brainlist!!
Answers
Answer:
It is the first one 1/3(p+45).
Answer:
choice 1) 1/3(p + 45)
Step-by-step explanation:
1/3p + 15 = 1/3(p + 45)
23. In the figure, A, B, E and C are points on the circle.
AE is the diameter of the circle and AD is the height
of ABC.
Given that CAD = 18°, find BAE.
Answers
9514 1404 393
Answer:
18°
Step-by-step explanation:
Angle ACD is the complement of the 18° angle shown, 72°. Arc AB is double that measure, so is 144°. Arc BE is the supplement to that, so is 36°. This is the arc subtended by inscribed angle BAE. That inscribed angle is half the measure of arc BE, so is 36°/2 = 18°.
angle BAE = 18°
2. If you drank two 12-ounce cans of soda each day for a year, how much money would you have spent?
Answers
Answer:
803 SORRY FOR ALL THE WRONG ANSWERS LOL
Step-by-step explanation:
you multiply the cents and the money by 2 then multiply it by 365
A square patio has a side length of (x − 8) feet. It is surrounded by a flower garden with a uniform width. The side length of the entire square area including the patio and the flower garden is (x + 8) feet. Enter an expression for the area of the flower garden.
Answers
9514 1404 393
Answer:
32x ft²
Step-by-step explanation:
The area of the garden plus patio is ...
(x +8)² = x² +16x +64
The area of the patio is ...
(x -8)² = x² -16x +64
The area of the flower garden is the total area less the patio area:
(x² +16x +64) -(x² -16x +64) = 32x . . . area of the flower garden
ASAP GIVING BRAINLIEST ASAP
Answers
Answer:
202
Step-by-step explanation:
70+32 would equal 102, then you would times 102 by 2 and the answer would be 202
Brainliest?
What is the percent difference between comedy and
action?
a) 22%
b) 5%
c) 13%
d) 10%
5
Answers
Answer: 22%
Step-by-step explanation:
What is the complementary angle
of 65 degrees
Answers
The angle of 25° is the complement of the angle of 65° and the angle of 65° is the complement of the angle of 25°.
Answer:
25°
Step-by-step explanation:
Two angles are complementary if the sum of the angle measures add up to (90) degrees. To find the complementary angle of a given angle, subtract the given angle from (90) degrees, the result will be the complementary angle.
(90) - (65) = (25)
solving steps for 2/3(9+x) = -5(4-x)
Answers
Answer:
x = -6
Step-by-step explanation:
2/3(9+x) = -5(4-x) ( 2/3times9=6, 2/3timesx=2/3x) ( -5times4=-20,-5timesx=-5x)
6 + 2/3x = -20 -5x ( add 20 on both sides)
26 + 2/3x = -5x ( minus 2/3x on both sides)
26 = -4.6x (divided -4.6x on both sides)
-5.6 = x ( round up)
-6 = x
hope this helps
I am well known amongst students .
U might be familiar with me bcos am easy to grab.
My calculations involve a geometric figure with a number of sides .
Remembering SOH , CAH , TOA alone is not a clue to find me
Who am I ?
Answers
Answer:
Trigonometry--------------------add 8 and 17, double the sum, and then subtract three
Answers
Answer:
Hello There!!
Step-by-step explanation:
The answer is 47 as (18+7)×2-3=47.
hope this helps,have a great day!!
~Pinky~
An expression is defined as a set of numbers, variables, and mathematical operations. The solution for the statement "add 8 and 17, double the sum, and then subtract three" is 47.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The solution for the statement "add 8 and 17, double the sum, and then subtract three" can be done as,
2(8+17) - 3
= 47
Hence, The solution for the statement "add 8 and 17, double the sum, and then subtract three" is 47.
Learn more about Expression:
https://brainly.com/question/13947055
#SPJ2
What percent of values is between the first and third quartiles?
its question 4
Answers
Answer:
answer
Step-by-step explanation:
5%
.......................