9514 1404 393
Answer:
x = 12
y = 4√10
z = 12√10
Step-by-step explanation:
The geometric mean rules apply. Each of the segments labeled with a letter is the geometric mean of the segments it touches on the hypotenuse.
x = √(4×36) = 12
y = √(4×(4+36)) = 4√10
z = √(36×(36+4)) = 12√10
PLEASE HELP ME!!! AND PLEASE TELL ME THE CORECT ANSWER. THIS WILL BE WORTH 20 POINTS!!!
Answer:
45units²
Step-by-step explanation:
Triangle area = (1/2)(base length)(perpendicular height)
= (1/2)(6)(15)
=3(15)
=45units²
if 70kg is 20% of peter's weight, then what is peter's total weight!?
Point T has coordinates (-3, 4). If it was reflected over the x-axls, what were the coordinates of its pre-image?
Answer:
(3,4)
Step-by-step explanation:
Please helppp, 15 points
Answer:
they are adding by 3 1 and 0
Step-by-step explanation:
Answer:
Step-by-step explanation: Mean= 400/15 =26.6
Median = 27
Mode= 35 - 16 =19
No
Circle the expression that has the smallest value when x = 4
5 – x 1/2 x x + 1 x - 4
9514 1404 393
Answer:
(d) x-4
Step-by-step explanation:
If we assume your answer choices are ...
(a) 5 -x = 5 -4 = 1
(b) 1/2x = 1/2(4) = 2
(c) x +1 = 4 +1 = 5
(d) x -4 = 4 -4 = 0
Then the last choice (d) x -4 has the smallest value at x=4.
Determine which of the two acute angles has a sine of 5/11 (click photo)
Answer:
A
Step-by-step explanation:
sin: [tex]\frac{opposite}{hypotenuse}[/tex]
sin: [tex]\frac{CB}{AC}[/tex] = [tex]\frac{5}{11}[/tex]
For triangle ABC, sin(A) = 5/11
What is acute angle?"If the angle measure less than 90° then it is an acute angle."
What is sine theta?For a right triangle,
sin(theta) = opposite side/hypotenuse
where theta is an acute angle.
For given example,
we have been given a right triangle ΔABC
Since ∠B = 90°, ∠A and ∠C must be an acute angles.
⇒ sin(A) = BC/AC
⇒ sin(A) = 5/11
and sin (C) = AB/AC
⇒ sin(C) = (4√6)/11
Therefore, sin(A) = 5/11
Learn more about sine of angle here:
https://brainly.com/question/15141309
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juan has $500 in his bank account. At the end of each month he plans to deposit $75. If these are his only transactions, which expression could be used to show the amount of money Juan will have in his account after m months?
75m+500
You have the 500 as the initial amount and the 75m is how much juan adds each month
write an ordered pair corresponding to the point
Answer: (3,-3)
Step-by-step explanation:
Answer each question below 26. A pair of shoes that normally costs $85 is now on sale for 45% off. What is the sale price of the shoes?
27. After Christmas, I was able to buy lights for 60% off. How much did I pay for lights that normally cost $12?
28. This past weekend, I went to Bed, Bath & Beyond to purchase a new frying pan. I was able to use a 20% off
coupon on one item. The frying pan was originally $40. What is the sale price of the frying pan?
29. When eating at a restaurant, it is recommended that you leave a 15% tip. If my bill was $24, how much
should I leave as a tip?
Answer:
26. $46.75
27. $4.80
28. $32.00
29. $3.60
Find the volume (in cubic feet) of a rectangular moving van with length 12 feet, width 6 feet, and height 6 feet.
Answer:
Step-by-step explanation:
V = L * W * H
L = 12
W = 6
H = 6
Volume = 12 * 6 * 6
Volume = 432 cubic feet
Answer:
432 cubic feet
Step-by-step explanation:
To find the volume of a retangular prism or a rectangle you use L x W x H so that would be 12 x 6 x 6 which is 432. So the volume is 432 cubic feet
There were 16 skittles in a bag there were 3 yellow, 4 red, 2 purple, 6 orange, and 1 green. What is the probability of pulling a red skittle (simplify your answer). The probability of a red is /
3.14 Unit
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What is the slope of the line that passes through the points (3, 1) and (-2,5)?
-
-
Please help
Answer:
m = -4/5
Step-by-step explanation:
We need to find the slope of the line that passes through the points (3, 1) and (-2,5).
The slope of the line is given by :
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Put x₁ = 3, x₂ = -2, y₁ = 1 and y₂ = 5
Put all the values,
[tex]m=\dfrac{5-1}{-2-3}\\\\=\dfrac{4}{-5}\\\\=\dfrac{-4}{5}[/tex]
So, the correct option is (b).
Someone out here know the answer?
Answer:
k = -5
Step-by-step explanation:
f(9) = 2/3*9 +k
f(9) = 6+k
k = -5
Find the measure of <6
Answer:
110 degrees
Step-by-step explanation:
Parallels lines, when intersected by a straight line, form congruent angles. Therefore 110 is equal to angle 6
what is 13 times 95 divided by .35?
Answer:
3,528.57142857
Step-by-step explanation:
Answer:
[tex]3528\frac{4}{7}[/tex]
Step-by-step explanation:
13 × 95 ÷ 0.35
1235 ÷ 0.35
[tex]3528\frac{4}{7}[/tex]
Correct answer please i need help
9514 1404 393
Answer:
-368.8 ft
Step-by-step explanation:
distance = velocity × time
Here, we'll use a negative for speed downward, and positive for speed upward.
elevation = (-4.5 ft/s)(98 s) +(1.9 ft/s)(38 s) = -441 ft +72.2 ft
elevation = -368.8 ft
find the value of X round to the nearest 10th
Answer:
x ≈ 80.4
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan15° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{300}[/tex] ( multiply both sides by 300 )
300 × tan15° = x , then
x ≈ 80.4 ( to the nearest tenth )
It would take ___ hours to drive 240 miles from Boston to New York, if one drives at a constant speed of 40 mph.
Answer:
6 hours.
Step-by-step explanation:
To find how many hours it would take to drive a 240 mile distance at a constant speed of 40 miles per hour, you'd divide 240 by 40 and the result of that is 6.
Answer:
6 hours
Explanation:
240/40= 6
6 x 10^4 how many times as great as 3 x 10^7
Answer:
one
Step-by-step explanation:
Jim rent a car for the weekend can choose 1 of 2 plans the first plan has $55 initial cost an additional 0.80 per mile driven The second plan has no on the song say what it cost $0.90 per mile driven how many miles would you need to drive for the two plans to cost the Same 
(5^{-8})(5^{-10})=(5
−8
)(5
−10
)=
Answer:
1
3814697265625
Decimal Form:
2.62144 ⋅ 10 / 13
Step-by-step explanation:
3. Simplify: 72 +8 [180 + 4 {10 + (15 - 45 - 9 x 2)}] simplify
Answer:
296
Step-by-step explanation:
Answer:
plz rate 5star accept my efforts
+ thanks :)
For the function f(x) = 1/4e^-x + e^x, prove that the arc length on any interval has the same value as the area under the curve.
Take an arbitrary interval [a, b], where a < b.
Compute the arc length L of y = f(x) over [a, b] :
[tex]L=\displaystyle\int_a^b\sqrt{1+\left(f'(x)\right)^2}\,\mathrm dx[/tex]
Now comptue the area A under the curve y = f(x) over [a, b] :
[tex]A=\displaystyle\int_a^bf(x)\,\mathrm dx[/tex]
We have
f (x) = 1/4 e ⁻ˣ + e ˣ → f ' (x) = -1/4 e ⁻ˣ + e ˣ
Then
√(1 + (f ' (x))²) = √(1 + (-1/4 e ⁻ˣ + e ˣ)²)
… = √(1 + 1/16 e ⁻²ˣ - 1/2 + e ²ˣ)
… = √(1/16 e ⁻²ˣ + 1/2 + e ²ˣ)
… = 1/4 √(e ⁻²ˣ + 8 + 16e ²ˣ)
… = 1/4 √((e ⁻ˣ + 4 e ˣ)²)
… = 1/4 (e ⁻ˣ + 4 e ˣ)
… = 1/4 e ⁻ˣ + e ˣ
… = f (x)
so both A = L for any choice of interval [a, b].
It is true that the arc length on any interval has the same value as the area under the curve.
How to prove the statementThe function is given as:
[tex]f(x) = \frac 14e^{-x} + e^x[/tex]
Differentiate the function
[tex]f'(x) = -\frac 14e^{-x} + e^x[/tex]
On any interval, the following must be true
[tex]f(x) =f'(x)[/tex]
and
[tex]f(x) = \sqrt{1 + (f'(x))^2}[/tex]
So, we have:
[tex]f(x) = \sqrt{1 + (-\frac 14e^{-x} + e^x)^2}[/tex]
Expand the exponents
[tex]f(x) = \sqrt{1 + (\frac{1}{16}e^{-2x} - \frac 12 + e^{2x})}[/tex]
Remove the bracket
[tex]f(x) = \sqrt{1 + \frac{1}{16}e^{-2x} - \frac 12 + e^{2x}}[/tex]
Evaluate the like terms
[tex]f(x) = \sqrt{\frac{1}{16}e^{-2x} + \frac 12 + e^{2x}}[/tex]
Multiply by 16/16
[tex]f(x) = \sqrt{\frac{16}{16}(\frac{1}{16}e^{-2x} + \frac 12 + e^{2x})}[/tex]
So, we have:
[tex]f(x) = \sqrt{\frac{1}{16}(e^{-2x} + 8 + 16e^{2x})}[/tex]
Take the square root of 1/16
[tex]f(x) = \frac{1}{4}\sqrt{e^{-2x} + 8 + 16e^{2x}}[/tex]
Express the radical as a perfect square
[tex]f(x) = \frac{1}{4}\sqrt{(e^{-x} + 4e^{x})^2}[/tex]
Evaluate the exponents
[tex]f(x) = \frac{1}{4} * (e^{-x} + 4e^{x})[/tex]
Evaluate the products
[tex]f(x) = \frac{1}{4}e^{-x} + e^{x}[/tex]
Hence, it has been proved that the arc length on any interval has the same value as the area under the curve.
Read more about areas at:
https://brainly.com/question/24487155
Jenny ran 6,715 meters in 8.3 minutes. Johnny ran 1,455 meters in 2.1 minutes. Who was faster and by how much?
Answer: Jenny was faster by 116.17
Step-by-step explanation: Jenny: 809.03 meters a minute
Johnny: 692.86 meters a minute
Lin got a $50 gift card to an online music store. She uses the gift card to buy an album for $9.99. She also wants to use the gift card to buy some songs. Each song costs $1.29.
Which of these inequalities describes the situation, where n is the number of songs Lin wants to buy.
9.99+1.29n greater and equal to 50
9.99+1.29 less than and equal to 50
9.99-1.29n less than or equal to 50
9.99-1.29n greater than or equal to 50
Answer:
b) 9.99 + 1.29n ≤ 50
Step-by-step explanation:
I think, this question is incomplete., may be there is typo. To complete the question, it's suppose to be like this
a)9.99 + 1.29n ≥ 50
b)9.99 + 1.29n ≤ 50
c)9.99 − 1.29n ≤ 50
d)9.99 − 1.29 n ≥ 50
well, we have to figure out the information given
price of the album: $9.99
each song cost : $1.29
gift card: $50
number of songs : n
The answer is b) 9.99 + 1.29n ≤ 50 , because the sum of the price of the album ($9.99) and the songs ($1.29 n) must be less or equal to the value of the gift card ($50). Fore sure it 's correct.....
CAN SOMEONE HELP ME UNDERSTAND THIS PLEASE
YEAH OFC SHAWTY!
so for A its -4^11 because if the powers have the same base and they are being multiplied you add the powersFor B its the same idea, they have the same base, and are being multiplied so you add the powers- 13^9For C its similar, you have the same base, but since its Dividing, you subtract the powers. So, 9^5for D you pretend like the denominator has a power of 1 and subtract. So its -24^5-24^1 which hopefully puts it into perspective of being -24^4 becuase we subtracted the powersI cant do 2 right now, but i will in a minute
And for 3 his mistake is that they arent the same bases so he cant add the powers, he should have converted them to the same base first.
help please :((( this is the last math problem
Answer:
11.53 degrees.
Step-by-step explanation:
ok so we know the hyp and opp sides. this means that it is sin. according to SOHCAHTOA we do sin^-1(2/10). you should get 11.53
Answer:
11.5396°
Step-by-step explanation:
Please see the attached image
We can do sin(x)=2/10, which simplifies to sin(x)=1/5
To get x by itself do [tex]x=sin^{-1}[/tex](1/5) which ≈11.5396°
PLS HELP ASAP!! WILL MARK BRANILY TO PERSON WHO IS CORRECT!!!
In a bag there are 3 red marbles, 2 yellow marbles and 1 blue marble. After a marble is selected, it is replaced. What is the theoretical probability of pulling a blue marble and then a yellow marble? 0.1667 0.0556 0.0278 0.3333
Answer:
0.0556
Step-by-step explanation:
P(Blue,Yellow) = 1/6 x 2/6 = 1/18 = 0.0556
Flying against the jetstream, a jet travels 3600 miles in 5 hours. Flying with the jetstream, the same jet travels 4400 miles in 4 hours. What is the rate of the jet in still air and what is the rate of the jetstream?
Rate of the jet in still air: mi/h
Rate of the jetstream: mi/h
Perform the following subtraction - 1/2 - (- 7/10)
Answer:
1.2
I t is the answer