Answer:
The length is APPROXIMATELY equal to 12.4.
Step-by-step explanation:
Use the converse of the Pythagorean Theorem ([tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex] [where "c" is both the longest side and the hypotenuse]) since a rectangle's diagonals will always cut it into two right triangles:
[tex]13^{2} = 169[/tex]
[tex]4^{2} =16[/tex]
169-16=153.
[tex]\sqrt{153}[/tex] ≈ 12
or
[tex]\sqrt{153}=12.36931688[/tex]
or if the problem has to be exact (using radicals)
3*[tex]\sqrt{17}[/tex]
I hope this helps ;)
A rectangle’s length is three times its width, w. Its area is 243 square units. Which equation can be used to find the width of the rectangle?
a. w2 = 3(243)
b. 3w2 = 243
c. 4w2 = 243
d. 3w2 = 3(243)
please im on a timed test
Answer:
b) 3w² = 243
Step-by-step explanation:
area = L x w
L = 3w
substitute for L:
243 = 3w x w = 3w²
3w² = 243
A store is having a buy one get one 30% off sale. During the sale Christopher buys two pairs of shoes that each have a regular price of 48$. How much does Christopher pay for the two pairs of shoes?
When solving the equation x/5 - 12 = 10, what is your last step?
A. Multiply by 5 on each side.
B. Add 12 to each side.
C. Divide by 5 on each side.
D. Subtract 12 from each side.
+10 points!
Answer:
A multiply by 5
Step-by-step explanation:
x/5-12=10
x/5=10+12
x/5=22
multiple each side by 5
x=22*5
Question is in picture
Answer:
27.5ft
Step-by-step explanation:
a² + b² = c²
Plug in what you have:
a² + 12² = 30²
Get a by itself:
a² = 30² - 12²
Simplify:
a² = 900 - 144
Simplify:
a² = 756
Simplify:
√a = √756
Then you get 27.49 and when you round you get 27.5
x(x-4)=12 solve for x
Answer:
x=6 and x=-2
Step-by-step explanation:
so
x(x-4)=12
first distribute
then move the terms
and the u get
x=6 and x=-2
hope this helped
Answer:
x=6, x=-2
Step-by-step explanation:
x(x-4)=12
distributive property, x^2-4x=12
x^2-4x-12=0
(x-6)(x+2)
therefore, x=6, x=-2
A bag contains colored tiles. • 3 tiles are red • 6 tiles are green • 3 tiles are blue A tile will be randomly selected from the bag. What is the probability in decimal form that the tile selected will be green? A bag contains colored tiles. • 3 tiles are red • 6 tiles are green • 3 tiles are blue A tile will be randomly selected from the bag. What is the probability in decimal form that the tile selected will be green?
what is 1/12 in simplest form
It cant be written any way else its already in its simplest form
Factor the expression below. A. (x + 5)(x + 5) B. (x - 5)(x + 5) C. 5(x2 - x + 5) D. (x - 5)(x - 5)
Answer:
A. x² +10x +25
B. x² - 25
C. 5x² -5x + 25
D. x²- 10x + 25
Step-by-step explanation:
A. (x+5)(x+5)
x² + 5x + 5x + 25
x² +10x + 25
B. (x-5)(x+5)
x² + 5x - 5x - 25
x² -25
C. 5(x² -x +5)
5x² -5x + 25
D. (x-5)(x-5)
x² - 5x -5x + 25
x²- 10x + 25
PLSS HELP I WILL GIVE YOU BRAINLYEST!!
Students were surveyed about their
favorite sports to play in physed. The
results are represented in this arcle graph
If 48 students were surveyed, how many
chose soccer?
Part/total=%/100
A. 15
B. 12
C. 13
D. 10
Answer: C
So I was right, I guess.
Eugenia gasto 10 euros en el quiosco, compro 5 bocaditos, un paquete de galletas que costaba 1 euro y pagó 4 euros que debia ¿cuanto cuesta cada bocadito?
Answer:
the each snack cost is 1
Step-by-step explanation:
Let us assume the each snack cost be x
So according to the question
The following equation would be applied
5x + 1 + 4 = 10
5x + 5 = 10
5x = 5
x = 1
hence, the each snack cost is 1
So the same would be considered and relevant too
please help me! I'd be filled with so much gratitude
Answer:
0
Step-by-step explanation:
-9 x (0/-3)
-9 x 0
0
What is the sign of −9⋅( 0/-3)
Answer:
hi
Step-by-step explanation:
sorry
Answer:
0
Step-by-step explanation:
The sine function of 0 is 0.
We got 0 because you multiplied -9 by 0 divided by -3. DIviding by 0 really doesn't have an answer, but it'd most logically be 0.
HELP PLEASE 10 POINTS
Answer:
Angle K is 55 degrees
Step-by-step explanation:
Angle K corresponds to Angle R
Tell which value of the variable is the solution of the equation 30 = 6w W = 3, 5, 6, 8??
Answer: w=5
Step-by-step explanation: Hope this help
Somebody pls help
Solve the problems. What are the equations of the trend line shown here?
Answer:
1) y = -7/10x + 21
Step-by-step explanation:
1)
Points (5, 7) and (15, 0)
Slope:
m=(y2-y1)/(x2-x1)
m=(0-7)/(15-5)
m=(-7)/10
m= -7/10
Slope-intercept:
y - y1 = m(x - x1)
y - 7 = -7/10(x - 5)
y - 7 = -7/10x + 14
y = -7/10x + 21
(1/2)x x 3/43=
Pls im so close for finishing 20 POINTS
Answer:
It's 3[tex]x^{2}[/tex]/86
hope this helps:)
Please help me out! You can just give me your answer! PLEASE AND THANK YOU!
Answer:
15°, 16°, 46°, 59°
Step-by-step explanation:
1.) so the entire angle is 89°, then you take off the 44° and the 30°
89° - 44° - 30° = 15°
So the answer to 1 is x = 15°
2.) 90° - 74° = 16°
3.) 180° - 134° = 46°
4.) the angles are vertical, so they're equal:
x = 59°
hope this helps:)
A cylindrical glass of soda has a mass of 700g. The glass itself has a mass of 80g. If the glass has a radius of 4cm and a height of 8cm, what is the density of the soda?
The density of the soda is 3.6 g/cm³
What is density?Density is the measurement of how tightly a material is packed together. It is defined as the mass per unit volume.
Given that, a cylindrical glass of soda has a mass of 700g. The glass itself has a mass of 80g, the glass has a radius of 4 cm and a height of 8 cm,
We are asked to find the density of the soda,
Density = mass / volume
Volume = 2π×radius×height
Therefore,
Density = 700/2π×4×8 [we will not add the mass of glass because we need to find the density of soda only]
Density = 700/194.68
= 3.59
= 3.6
Hence, the density of the soda is 3.6 g/cm³
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What is
(f + g)(x)?
f(x) = x2 – 36
g(x) = x3 + 2x2 – 10
Enter your answer in standard form in the box
Answer:
x^3+3x^2-46
Step-by-step explanation:
help mee plz... i ' m in trouble
ans 2,3&4
Step-by-step explanation:
2) a= -3/8 and b= -5/3
a×b= b×a
-3 × -5 = -5 × -3
8. 3. 3. 8
15 = 15
24. 24
3)a=8/11 and b= -6/11
a×b=b×a
8 × -6 = -6 × 8
11. 11. 11. 11
-48 = -48
121. 121
4) a= -9/15 and b= -7/2
a×b=b×a
-9 × -7 = -7 × -9
15. 2. 2. 15
63 = 63 , let's divide both by 3
30. 30
21 = 21
10. 10
please help me ...........
Answer:
a
Step-by-step explanation:
the 5y and the negative one cancel each other out. add the rest together you end up with 5x=-15. and divide each side by 5. you'll end up with x=-3
PLEASE HELP ASAP
A weir is a dam that is built across a river to regulate the flow of water. The flow
rate Q (in cubic feet per second) can be calculated using the formula Q = 3.3674h3/2,
where l is the length (in feet) of the bottom of the spillway and h is the depth (in feet)
of the water on the spillway. Determine the flow rate of a weir with a spillway that is
20 feet long and has a water depth of 5 feet. Round your answer to the nearest whole
number
Answer:
752.884 cubic feet
Step-by-step explanation:
Brainliest?
Applying the formula, it is found that the flow rate is of 753 cubic feet per second.
The flow rate is modeled by:
[tex]Q = 3.367lh^{\frac{3}{2}}[/tex]
[tex]Q = 3.367l\sqrt{h^3}[/tex]
In which the parameters are:
l is the length.h is the depth.In this problem:
20 feet long, hence [tex]l = 20[/tex]Depth of 5 feet, hence [tex]h = 5[/tex]Then:
[tex]Q = 3.367l\sqrt{h^3}[/tex]
[tex]Q = 3.367(20)\sqrt{5^3}[/tex]
[tex]Q = 753[/etx]
The rate is of 753 cubic feet per second.
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Graph the function f(x) = 2x. Which features are correctly stated?
A) x-intercept: none
B) y-intercept: (0, 2)
C) asymptote: x = 0
D) as x → ∞, f(x) → ∞
E) as x → −∞, f(x) → 0
Answer:
a, d, e
Step-by-step explanation:
on usatestprep
The features of the function are given as follows:
Horizontal asymptote: y = 5.
Vertical asymptote: x = 2.
x-intercept: No x-intercept.
y-intercept: (0,-5).
Hole: No holes.
What are the features of the function?The horizontal asymptote is the limit of f(x) as x goes to infinity. To obtain this limit, we consider only the terms with the highest exponent of the numerator and of the denominator, hence:
here, we have,
g(x) = -5x/x -> y = 5 is the horizontal asymptote.
The vertical asymptote is the value of x for which the function is not defined, hence it is the zero of the denominator, thus:
x - 2 = 0 -> x = 2.
The x-intercept is the point (x,0), in which x is found when y = 0, hence:
-5x + 10 = 0
-5x = -10
5x = 10
x = 2.
However, the function is not defined at x = 2, meaning that it has no x-intercept.
The y-intercept is the value of y when x = 0, hence:
y = 10/-2 = -5.
The coordinates are (0,-5).
The entire function can be simplified as follows:
(-5x + 10)/(x - 2) = [-5(x - 2)]/(x - 2) = -5.
Meaning that the function has no holes.
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complete question:
Determine each feature of the graph of the given function.
f(x) = -5+10
2
Horizontal Asymptote: y =
Vertical Asymptote: x =
x-Intercept:
y-Intercept: (0,
Hole: (
,0)
No horizontal asymptote
No vertical asymptote
No x-intercept
No y-intercept
No hole
A delivery company purchases a $20,000 van. The value of the van depreciates at a rate of 19% per year. How many years will it take before the van is worth half its original purchase price? Round to the nearest tenth of a year.
A 1.7 years
B 4.0 years
C 3.3 years
Jared gets 10 heads when flipping a weighted coin 12 times. Based on experimental probability, how many of the next six flip should Jared expect to come up heads?
Answer:
5
Step-by-step explanation:
Experimental probability = number of tunes an event occurred / total number of trials
Experimental probability of getting head :
10 /12 = 0.833333
Expected number of heads from next 6 flips :
Experimental probability = expected number of heads / number of trials
0.833333 = x / 6
0.83333 * 6 = 5
5 times
please help !! A golf ball is hit into the air from a platform located 6 meters above the ground. The graph represents the height above the ground of the golf ball as a function of time.
Part A: What is the maximum height, in meters, the golf ball reaches before hitting the ground? (blank) meters
Part B:Which of the following statements describe the golf ball? Select TWO that apply.
A.)At 0 seconds, the golf ball is on the ground.
B.)The golf ball is in the air for a total of 4 seconds.
C.)The golf ball is at a height of 6 feet 2 seconds after it was hit.
D.)Between 1 and 3 seconds, the ball is falling towards the ground.
Answer:
Part A: 8 meters
Part B: B, D
Step-by-step explanation:
Is (2, 7) the answer to the equation 5x = y?
If not, what should y be?
Answer:
[see below]
Step-by-step explanation:
[tex]5(2)=7\\\\10\neq 7[/tex]
No, (2, 7) is not the answer to the equation 5x = y.
[tex]5x=y\\\\5(2)=y\\\\\boxed{10=y}[/tex]
The value of y should be 10.
Hope this helps.
A researcher studies alcohol's effect on reaction time and finds no difference between people who consumed 1 versus 2 beverages. She included 40 participants randomly selected from the dining hall on campus, with a range in age from 18 to 38 years and a range in weight from 100 to 325 pounds. She decides to rerun her study with 30 women from 18 to 22 years of age and who are all of normal body weight and finds there is a statistical difference in reaction times between those who consumed 1 versus 2 beverages. Why might her results have changed
Answer:
Her results changed because the power increased due to the fact that she reduced variability in her data as a result of using a sample that had lesser variability.
Step-by-step explanation:
She is trying to find if there is difference between people who consumed 1 versus 2 beverages.
Now initially she surveyed 40 people between ages 18 to 38 years and of huge weights and found out there was no difference. However, she decided to run the survey again on only women aged 18 to 22 years with normal body weight.
Since she used a lesser sample size and surveyed only women, it means there will be lesser variability in the result as the sample is smaller and streamlined to only women.
Thus, her result changed because the power increased due to the fact that she reduced variability in her data as a result of using a sample that had lesser variability.
5,000 x 683,629,638,953,019.582
Answer:
3418148194765097900
Step-by-step explanation:
Just multiplied
have a great day!
A metal bar weighs 24 ounces. 15% of the bar is gold. How many ounces of gold are in the bar? *
Answer:
7.6 ounces of silver
Step-by-step explanation:
Hope this helps :)
There ae 3.6 ounces of Gold in the metal bar.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
A metal bar weighs 24 ounces.
And, 15% of the bar is gold.
Now, We can formulate as;
Amount of gold in the bar is,
⇒ 15% of 24
⇒ 15/100 × 24
⇒ 3.6 ounces
Hence, There ae 3.6 ounces of Gold in the bar.
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