Answer:
The length of the hypotenuse is 2 square root of 13 ⇒ c
Step-by-step explanation:
The rule of the area of the right triangle is A = [tex]\frac{1}{2}[/tex] × leg1 × leg2, where
leg1 and leg2 are the sides of the right angle
∵ The area of a right triangle is 12 in²
∵ The ratio of the length of its legs is 2: 3
→ Let leg1 = 2x and leg2 = 3x
∵ leg1 = 2x and leg2 = 3x
→ Substitute them in the rule of the area above
∴ 12 = [tex]\frac{1}{2}[/tex] × 2x × 3x
∵ 2x × 3x = 6x²
∴ 12 = [tex]\frac{1}{2}[/tex] × 6x²
∴ 12 = 3x²
→ Divide both sides by 3 to find x²
∴ 4 = x²
→ Take √ for both sides
∴ x = 2
→ Substitute x in the expressions of leg1 and leg2 to find them
∴ leg1 = 2(2) = 4 inches
∴ leg2 = 3(2) = 6 inches
∵ hypotenuse = [tex]\sqrt{(leg1)^{2}+(leg2)^{2}}[/tex]
∴ hypotenuse = [tex]\sqrt{(4)^{2}+(6)^{2}}=\sqrt{16+36}=\sqrt{52}[/tex]
∵ The simplest form of [tex]\sqrt{52}[/tex] = 2[tex]\sqrt{13}[/tex]
∴ The length of the hypotenuse = 2[tex]\sqrt{13}[/tex] inches
Help Please PLEASE PLEASE
Answer:
the length is 14 the width is 15 and the area is 210
which of the following expression is equivalent to 6(x-4)
6p- 24
6p-4
5c+4p=18.40 2c+4p=11.20
Answer:
c = 2.4
p = 1.6
Step-by-step explanation:
Given:
5c+4p=18.40
2c+4p=11.20
-1(2c+4p=11.20) <-- Distribute -1 so that you can cancel out p
-2c-4p=-11.20
5c+4p=18.40
+ -2c-4p=-11.20 <-- Add/simplify like terms
3c = 7.2 <-- Isolate c by dividing
c = 2.4
Now that we have c, we can find p
5c+4p=18.40
5(2.4)+4p=18.40 <-- Sub in 2.4 for c
12+4p=18.40 <-- Combine like terms in one side
4p=6.4 <-- Isolate p by dividing
p = 1.6
mr. Scopes drove a car 210 miles south in 3 hours what was his velocity
Answer:
70 mph south
Step-by-step explanation:
Formula: Acceleration over time
210 divided by 3
Help... I’m desperate... I mean really desperate
Answer:
y=2x+2
Step-by-step explanation:
There are 20,000 runners in the
Fort Worth Marathon. Each
runner runs a distance of 26
miles. What is the total distance
run by all of the runners
expressed in scientific notation
20,000 • 26 = 520,000 miles.
In scientific notation, 520,000 becomes
5.20 x 10^5
Lawrence bought 2/3 pound of roast beef. He used 3/4 of it to make a sandwich. How much beef did he use for his sandwich A 5/12 pound B 1/2 pound C 5/7 pound D 6/7 pound
Answer:
B) 1/2 pound
Step-by-step explanation:
Lawrence bought 2/3 pound of roast beef.
He used 3/4 of it to make a sandwich.
The amount of beef that he used for his sandwich is calculated as:
3/4 of 2/3 pounds of roast beef
3/4 × 2/3
= 6/12 pound
= 1/2 pound
Option B is the correct Option.
Dwayne has a wrench set with the socket sizes of 1, 1/2, 1/4, 1/8, 1/16 what would the next size be?
Notice that the denominator is a multiplied by 2 for each fraction.
1/1•2 = 1/2
1 /2•2 = 1/4
1/4•2 = 1/8
1/8•2 = 1/16
1/16•2 =1/32
The next size is 1/32.
A golf ball is hit with an initial velocity of 100 feet per second. The height of the golf ball can be represented by the equation h=100t−16t^2, where t is the time in seconds since the ball was hit and h is the height of the ball in feet. How long will it take for the ball to hit the ground?
Answer:
6.25 secondsStep-by-step explanation:
Using the the equation
h = 100t − 16t^2The ball hits the ground, when h = 0, solving below equation:
100t − 16t^2 = 04t(25 - 4t) = 0t = 0 seconds, this is the starting point when ball was hit25 - 4t = 0 ⇒ 4t = 25 ⇒ t= 25/4 = 6.25 seconds later the ball hits the groundAnswer:
6.30 seconds
Step-by-step explanation:
Anybody know the slope to this graph?
Answer:
Step-by-step explanation:
m = 2
a fitness club opens up with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has opened, x, and the total club membership,y?
Answer:
15x+80=m
Step-by-step explanation:
where x is the number of months and m is the amount of members
Answer/Step-by-step explanation:
y = 15x + 80
The club start with 80. Then each month 15 people are added so the slope is 15. So replace m in the equation y = mx + b with 15.
Next, replace the variable b of y = 15x +b with 80. because the original 80 members is a one time thing that stays there.
Now you have the equation y = 15x + 80. Which correctly describes the fitness club's situation.
For right triangle trig ratios, the hypotenuse will _________ be in the denominator
A) Sometimes
B) Never
C) Always
mark talked on his cell phone 5 hours over the weekend. genaro talked on his cell phone for 2 9/10 hours. how much longer did mark talk on his phone than genaro.
Answer:
3 - 1 9/10 = 2 10/10 - 1 9/10 = 1 1/10 hours
Step-by-step explanation:
Aro diagrams his river rafting trip, estimating the time it will take him to paddle upstream against the current, and then back downstream with the current. His campsite destination is 5.2 miles upstream. Determine how fast Aro can paddle and how fast the river water is moving. Round to the nearest hundredth as needed.
Upstream:
Downstream:
Let x be the speed of Aro’s paddling and let y be the speed of the river.
Upstream: 1.04 = x – y
Downstream: 2.08 = x + y
Aro can paddle at a speed of
miles per hour.
The river’s speed is
miles per hour.
Answer:1.) 1.56
2.)0.52
Step-by-step explanation:
Answer:
That person's answer is right. 1.56 0.52
Step-by-step explanation:
Evaluate each function for x = 4.
h(x)=7x+15
Answer:
h(4) = 43
Step-by-step explanation:
h(4) = 7(4) + 15
h(4) = 28 + 15
h(4) = 43
Answer:
h(4) = 43
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
h(x) = 7x + 15
x = 4
Step 2: Evaluate
Substitute: h(4) = 7(4) + 15Multiply: h(4) = 28 + 15Add: h(4) = 43Write an equation for the parabola whose vertex is at (3, 6) and which
passes through (4, 4).
Answer:
f(x) = -2 (x - 3)² + 6Step-by-step explanation:
The vertex form of the equation of the parabola with vertex (h, k) is:
f(x) = a(x - h)² + k
so the equation of parabola with the vertex (3, 6) is
f(x) = a(x - 3)² + 6
passes through the point (4, 4) means: if x=4 then f(x)=4
4 = a(4 - 3)² + 6
4 -6 = a(1)² + 6 -6
-2 = a
Therefore the equation of parabla is:
f(x) = -2 (x - 3)² + 6
The vertex of a parabola is the maximum or the minimum point on the parabola.
The equation of the parabola is: [tex]\mathbf{y = -2(x -3)^2 + 6}[/tex]
The given parameters are:
[tex]\mathbf{Point = (x,y) =(4,4)}[/tex]
[tex]\mathbf{Vertex = (h,k) =(3,6)}[/tex]
The equation of parabola is:
[tex]\mathbf{y = a(x - h)^2 + k}[/tex]
Substitute values for x, y, h and k
[tex]\mathbf{4 = a(4 - 3)^2 + 6}[/tex]
[tex]\mathbf{4 = a(1)^2 + 6}[/tex]
[tex]\mathbf{4 = a + 6}[/tex]
Subtract 6 from both sides
[tex]\mathbf{a = -2}[/tex]
Substitute values for h, k and a in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]
[tex]\mathbf{y = -2(x -3)^2 + 6}[/tex]
Hence, the equation of the parabola is:
[tex]\mathbf{y = -2(x -3)^2 + 6}[/tex]
Read more about parabolas at:
https://brainly.com/question/4074088
Two bicyclists were racing toward each other when they were 98 miles apart. Three hours later they did not meet yet and the distance between them was 2 miles. How fast did they bike if one was 3mph slower than the other.
Let, speed of 1st bicyclist is x.
So, speed of 2nd bicyclist is x-3 .
We know, relative speed when two objects moves towards each other :
[tex]v = x + ( x-3 )\\\\v = 2x - 3[/tex]
Now, distance travelled in 3 hours is (98-2) miles .
So,
[tex]2x-3 = \dfrac{96}{3}\\\\2x - 3 = 32\\\\2x = 35\\\\x = 17.5\ mph[/tex]
Therefore, speed of bikes are 17.5 mph and 14.5 mph.
Hence, this is the required solution.
Which table made this graph?
Answer:
C. IV
Step-by-step explanation:
All the points on the graph have an x value of -3
(Need asap)
Factor the polynomial function over the complex numbers.
f(x)=x4+9x3+15x2+9x+14
Answer:
(x+2)(x+7)(x+i)(x-i)
Step-by-step explanation:
I just took the quiz.
Answer: (x+2)(x+7)(x+i)(x-i)
Step-by-step explanation:
I just took the quiz
*PLZ HELP*...Given the following word problems, write an inequality that models the problem, then solve and check.
J.ulian wants to pay $25 at most for eating out in the month of September. He has already spent $13.72. How much more money can he spend on eating out in September?
Answer:
x [tex]\leq[/tex] 11.28
Step-by-step explanation:
x + 13.72 [tex]\leq[/tex] 25
x [tex]\leq[/tex] 11.28
Therefore, he can spend less than or as much as $11.28.
1. How can you tell that a point on the graph is a maximum or minimum?
2. How would you explain average rate of change to a classmate who was absent today? What does it tell us and how do we find it?
Answer:
1) To see whether it is a maximum or a minimum, in this case we can simply look at the graph. f(x) is a parabola, and we can see that the turning point is a minimum. By finding the value of x where the derivative is 0, then, we have discovered that the vertex of the parabola is at (3, −4).
2
ALL THE POINTS I HAVE LEFT PLZ HELP
Answer:
C
Step-by-step explanation:
r=5t
r squared=25t squared
area=pi r squared
so, A(r(t))=25(pi)(t squared)
highschool math. this one is pretty easy.
A bisector splits an angle into two equal angles.
The answer is the last one: it splits the angle into two congruent angles.
Which of these triangle pairs can be mapped to each other using both a translation and a reflection across the line
containing AB?
Answer:
ABC to XYZ
Step-by-step explanation:
Line AB can be moved across to line XY and it will be a perfect match
Answer:
its A
Step-by-step explanation:
bc its A
Pls help with this for math problem fast asap answer this smart people
Answer:
I would say c and d
Step-by-step explanation:
Hope this helped :)
Answer:
a and c i would think
Step-by-step explanation:
because if you put them in pairs you would have an even number which is 16
w^3=125 when w = ...........
Answer: w = 5
Step-by-step explanation:
Step 1: Take cube root.
w=(125) ^(1/3)
W = 5
Divide. Reduce the answer to the lowest terms.
3/8 ÷ 1/7
Answer:
21/8
Step-by-step explanation:
3/8 x 7/1 = 21/8
Answer:
(21/8) (no parenthesis required)
or
2 and 5/8 (no "and" required)
Step-by-step explanation:
When you divide fractions, multiply the first number by the reciprocal of the second (2/3's reciprocal is 3/2 and 5/8's reciprocal is 8/5)
3/8 ÷1/7
= (3/8)*(7/1)
then multiply the numerators together and put them over the denominator
=21/8
= 2 and 5/8
can somebody check this and tell me if its wrong or right? ASAP
Answer:
Right
Step-by-step explanation:
Yesterday, Selma read 75 pages of her book. If she reads at a pace of 2 pages per minute today, which table shows only viable solutions for the total number of pages she has read, y, after x minutes have elapsed?
A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries 2, 14, 39, 55. The second column is labeled total pages read (y) with entries 79, 101, 153, 185.
A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries negative 16, 6, 27, 52. The second column is labeled total pages read (y) with entries 43, 87, 129, 179.
A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries 0, 19, 32, 47. The second column is labeled total pages read (y) with entries 0, 113, 139, 169.
A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries 0, 11, 20.25, 58. The second column is labeled total pages read (y) with entries 75, 97, 115.5, 191.
Answer:
the first one
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
I just did the question on edg
What is the purpose of the cell cycle?
Answer:
An Overview of the Cell Cycle. The most basic function of the cell cycle is to duplicate accurately the vast amount of DNA in the chromosomes and then segregate the copies precisely into two genetically identical daughter cells. These processes define the two major phases of the cell cycle.