Answers
Answer:
13.86
Step-by-step explanation:
Note m∠ADB = m∠ABC, and m∠A = m∠A, so
ΔABD ~ ΔABC
AD : x = x : AC
AD : x = x : (AD + DC)
12 : x = x : 16
x^2 = 12 * 16 = 192
[tex]x=\sqrt{192} = 13.86[/tex]
Related Questions
What is the fraction of 1/2+1/3=
Answers
Answer: [tex]\frac56[/tex]
Work Shown:
[tex]\frac{1}{2}+\frac{1}{3}\\\\\frac{3}{6}+\frac{2}{6}\\\\\frac{3+2}{6}\\\\\frac{5}{6}\\\\[/tex]
To visualize this, cut up a circle into 6 equal pieces.
3 of those pieces represent half the circle (3/6 = 1/2)
2 more pieces represent one third (2/6 = 1/3)
We have 3+2 = 5 pieces out of 6 total. This is visual confirmation that 1/2 + 1/3 = 5/6
you have 5 apples, multiply it by x, and get 1345. What is x?
Answers
Answer:
x = 269
explanation:
5 apples multiplied by x and equals to 1345solve:
5 * x = 1345
x = 1345/5
x = 269
Therefore x is 269.
note: changing sides changes multiplication(*) to division(/) and division(/) to multiplication(*).
Answer:
x = 269
Step-by-step explanation:
For this question, they are asking you to create a problem out of the information given. For this problem, we will require the use of division. Before we can solve, we need to create the problem first.
Because the problem says 5 multiplied by x, we have to multiply these two. (Important:) Anytime you are multiplying a coefficient (5 in this case) by a variable (x in this case) we have to put the coefficient in front of the variable, like this:
5x _ ___.
Now that we know that, the question states that this basically equals 1345. With that said, that just gave us the rest of the problem. Now let's put it together:
5x = 1345.
Now we can solve. To single out the variable (x) to find our answer, divide 5 into 1345:
5x = 1345
5 5
So, 1345 ÷ 5 = 269. After that, we are left with x and 269 (because the 5 was canceled out with the division). So, the answer is:
x = 269.
I hope that this helps.
Of students in the AP curriculum at a prep school, 40% take one AP exam, 45% take two AP exams, and the remaining 15% take 3 AP exams. The highly desirable score of 5 is hard to earn, and only 20% of these students will earn a 5 on any given exam they take. Assuming their results on each exam are independent, what is the probability a student in the AP curriculum will earn at least one 5
Answers
It should be noted that the probability that a student will earn at least one 5 will be 0.3152.
How to calculate the probabilityTest P(x). P(at least one 5)
1. 0.4. 0.2
2. 0.45. 0.36
3. 0.15. 0.488
Therefore, the probability that a student in the AP curriculum will earn at least one 5 will be:
= (0.4 × 0.2) + (0.45 × 0.36) + (0.15 × 0.488)
= 0.3152
In conclusion, the correct option is 0.3152.
Learn more about probability on:
https://brainly.com/question/24756209
Mathieu grows specialty tomatoes that are much larger than typical tomatoes. The distribution of their weights is strongly skewed to the left with a mean of 232g and a standard deviation of 12g. Suppose we were to calculate the mean weight from a random sample of 16 of Mathieu's tomatoes. We can assume independence between tomatoes in the sample.
What is the probability that the mean weight from the sample of 16 tomatoes x is within 6g of the population mean?
Answers
Answer:
We cannot calculate this probability because the sampling distribution is not normal.
Step-by-step explanation:
Since the parent population is not normally distributed, the small sample size will result in a sampling distribution that isn't normal.
Which is greater 24.005 or 24.05
Answers
Answer:
24.05
Step-by-step explanation:
24.005 has more numbers but worth less
24.05 is more
Austin surveys 60 women in an apartment building to determine the most preferred form of exercise they perform on a regular basis. he tabulates the results as shown
Answers
What is the length of this downhill track?
Answers
Answer: 10
Step-by-step explanation:
The trapezoids below are similar. Find z.
Answers
ratio remains same.
[tex]\\ \tt\longrightarrow \dfrac{2}{14}=\dfrac{7}{2z}[/tex]
[tex]\\ \tt\longrightarrow 4z=14(7)[/tex]
[tex]\\ \tt\longrightarrow 4z=98[/tex]
[tex]\\ \tt\longrightarrow z=98/4[/tex]
[tex]\\ \tt\longrightarrow z=24.5[/tex]
Kira is a lovable dog who is full of energy. Her owner thought it would be fun to train her by throwing a frisbee for her to catch. When the frisbee is thrown, it follows a parabolic path that is modeled by the function h(t) = – 0.145t2 + 0.019t + 5.5. How many seconds will it take for the frisbee to hit the ground?
–6.2 seconds
–6.1 seconds
5.5 seconds
6.2 seconds
Answers
Answer:
6.2 seconds
Explanation:
Given function: h(t) = – 0.145t² + 0.019t + 5.5
Here h(t) which determines the height, when Frisbee touches the ground, the height shall be 0.
solve the quadratic equation:
using the formula: [tex]\left[\begin{array}{ccc} t = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a}\end{array}\right][/tex]
Solving steps:
→ –0.145t² + 0.019t + 5.5 = 0
→ [–0.145t² + 0.019t + 5.5 = 0 ]* 100
→ -145t² + 19t + 5500 = 0
→ [tex]t = \frac{ -19 \pm \sqrt{19^2 - 4 ( -145)(5500)}}{2(-145)}[/tex]
→ [tex]t_1=\frac{-19+\sqrt{3190361}}{2\left(-145\right)},\:t_2=\frac{-19-\sqrt{3190361}}{2\left(-145\right)}[/tex]
→ [tex]t = -6.09[/tex] , [tex]t = 6.2[/tex]
→ [tex]t = 6.2[/tex]
Time cannot be negative here.
So time taken: 6.2 seconds.
Answer:
D. 6.2 secondsStep-by-step explanation:
When the frisbee hits the ground, the value of h is zero.
Find the time required:
– 0.145t² + 0.019t + 5.5 = 0145t² - 19t - 5500 = 0t = (19 + √(19² + 4*145*5500))/290 = (19 + 1786,1)/290 = 6.2 seconds (rounded)Note, taking positive root only as time is never negative
A small college had 7,500 students enrolled in 2010, and the number of students enrolled has increased by 3% each year since. If f(n) represents the number of students enrolled n years after
2010, then which function best represents its value?
Answers
Answer:
7800
I already take a homework with this question
The base diameter and the height of a cone are both
equal to x units
Which expression represents the volume of the cone, in
cubic units?
Answers
Answer:
D
Step-by-step explanation:
V=(1/3)(pi)(r^2)(h)
=(pi/3)((x/2)^2)(x)
=(pi/3)(x^2/4)(x)
=x^3 * pi/12
Answer:
D
Step-by-step explanation:
One-twelfthπx3
What is the volume of this sphere?
Use a 3.14 and round your answer to the nearest hundredth.
6 yd
Answers
Answer:
Volume = 904.78 yards
Step-by-step explanation:
The formula for a sphere is:
V=4/3πr³
Since we already know that the radius is 3 yards and that π is 3.14 all we have to do is plug in the numbers.
V=4/3(3.14)(6)³
V=4/3(3.14)(216)
V=4.1897(216)
V≈904.78 yards
Write an equation of a line that passes through -4, -4 and 4,4
Answers
Answer: y=x
Step-by-step explanation:
The slope is (y2-y1)/(x2-x1) = 8/8 = 1
Plugging it into the equation y = mx+b:
y = x + b
Plugging in one of the coordinates:
4 = 4+b
b = 0
Therefore, the equation of the line is y=x
If f(x) = x + 1 and g(x) = x^3, the function (fοg)(x) is:
Answers
Answer:
x³ + 1
Step-by-step explanation:
to evaluate (f ￮ g)(x) , substitute x = g(x) into f(x)
f(g(x) )
= f(x³)
= x³ + 1
Awnser down below!
⬇ ⬇ ⬇
Answers
Answer:
1. 103
2. 156
3. 114
4. 115.14
5. 140
6. 123.8
7. 120.28
8. 107
Step-by-step explanation:
Answer:
hope it helps you :)) !
What is the answer
7a-9b+6a-4b
Im having problems with this and need an answer with explanation if is positive maybe that way can be more easy to understand
Answers
This is because you have to add/subtract your like variables. So 7a + 6a=13a. Then you have -9b-4b=negative 13b. So 13a-13b
If point A, shown on the coordinate plane below, is reflected over both axes to create A’, what will be the coordinates of A’?
(-6, 3)
(-6, -3)
(6, -3)
(6, 3)
Answers
Answer:
(c) (6, -3)
Step-by-step explanation:
Reflection over both axes is the same as reflection across the origin, or rotation 180° about the origin. It has the effect of negating both coordinates:
(x, y) ⇒ (-x, -y) . . . . . reflection over both axes
The coordinates of A are (-6, 3), so the coordinates of A' will be ...
A(-6, 3) ⇒ A'(6, -3)
Garfield had $10 in the bank yesterday. Then, Garfield bought dinner for $14, but didn't realize that he overdrew from his bank. His account balance was negative now and he was in debt! What is the absolute value of his new account balance?
Answers
A basket of the fruit contains 12 apples, 8 bananas, and 6 oranges. What is the ratio of bananas to apples? (Please simplify)
Answers
Answer:
2 : 3
Step-by-step explanation:
bananas to apples = 8 : 12
simplify by dividing both values by highest common factor of 4:
8 ÷ 4 : 12 ÷ 4 = 2 : 3
I’ll give you all the points I can give if you help me no links pls pls
Answers
Answer:
We cant see the writing it is too small
Step-by-step explanation:
Solve these equations
1. 3x^2-16x-10=-15x
2. (3x - 7)(2x + 5) = 0
3. 2x + 5 - 3x = 4x + 17 + x
4. x^2 - 49 = 0
5. x^2 + 8x + 12 = 0
6. 0= (2x^2 - 3x + 5) - (x^2 + x + 37)
7. 12x^2 + 4x - 1
8. x^2 - 7x + 12
9. 6x^2 - 3x - 3
Answers
Answer: 1. x=2,-5/3
Step-by-step explanation:
Roger pays $2,240 in rent every month. This amount is $180 more than four times what his brother Raul pays for rent. How much does Raul pay for rent?
Answers
2,240 - 720 = 1,520
Raul pays 1,520 for rent
Find the factored form of the expression.
3x^2 + 300 = 0
Answers
Answer:
x = 10i - 10i
Step-by-step explanation:
3x^2 + 300 = 0
3(x^2 + 300) = 0
x^2 + 100 = 0
x^2 = -100
x = -100 (sqr root)
x = 10i - 10i
Hope this is more of the answer you where looking for.
Answer:
10
Step-by-step explanation:
it just is
In one U.S. city, the taxi cost is $5 plus $0.90 per mile. If you are traveling from the airport, there is an additional charge of $3.50 for tolls. How far can you travel from
the airport by taxi for $40.00?
Answers
Answer:
35 miles
Step-by-step explanation:
At the start, you lose $8.5 for tolls and the taxi cost.
You're left with $31.5 after that, every mile costs you $0.9, so you can go 31.5 : 0.9 = 35 miles.
5.524(2 significant figures)
Answers
Answer:
5.524 in 2 significant figures rounding the value to 2 non zero numbers.
5.524 = 5.5 (2 significant figures)
Brainliest if correct
Answers
Answer:
-6
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
3(-2)(-1)(-1)= -6
[RevyBreeze]
In the figure shown below, the area of the large rectangle is (5x)(8x + 1) and the area of
the small rectangle is (4x)(2x), which of the following expressions represents the area of
the shaded region?
HELP
Answers
Answer:
ok so the shaded area will be the larger rectange minus the smaller one so lets find the area of both by multiplying the sides
(5x)(8x+1)=40x^2+5x
(4x)(2x)=8x^2
so
40x^2+5x-8x^2
32x^2+5x or
x(32x+5)
so a
Hope This Helps!!!
james has 202 cookie his friend wanted 132 cookies how much is the amount?
Answers
202 cookies plus 132 = 334
What is the value of the expression: 4(n+13) where n=5
45
235
72
41
Answers
Answer:
72
Step-by-step explanation:
=> 4(n+13)
putting the value of n which is 5
=> 4(5+13 )
=> 4(18)
=> 72
A bike with an original price of 90$ is discounted 40%. What is he sale price
Answers
Answer:
$54
Step-by-step explanation:
Original Price = $90
Discounted = 40%
Percent to decimal 40% = .40
$90 x .40=36 ( 36 is the Discount)
$90 - 36=54
Sale Price = $54
Hence, Sale Price = $54
[RevyBreeze]