Answers
Answer: x=12.49
10^2 + x^2= 16^2
100 + x^2= 256
x^2=156
x=12.49
Step-by-step explanation:
Step 1: Use Pythagorean Theorem
[tex]a^2 + b^2 = c^2[/tex]
[tex]10^2 + b^2 = 16^2[/tex]
[tex]100 + b^2 = 256[/tex]
[tex]100-100 + b^2 = 256-100[/tex]
[tex]b^2 = 156[/tex]
[tex]\sqrt{b^2}=\sqrt{156}[/tex]
[tex]b = 12.48999599679679641169378624188[/tex]
[tex]b = 12.49[/tex]
Answer: [tex]12.49[/tex]
Related Questions
Can someone please help me!!! 100 POINTS!!! Answer ASP, please include an explanation!
Answers
Answer:
-39
Step-by-step explanation:
||u|| = sqrt(5² + (-12)²)
= sqrt(25 + 144)
= sqrt(169)
= 13
||cu|| = c ||u||
c = -3
c ||u|| = -3 × 13 = -39
Answer:
-39
Step-by-step explanation:
The magnitude of a vector is given by
|| u|| = sqrt( x^2 + y^2)
= sqrt( 5^2 + (-12)^2)
= sqrt(25+144)
= sqrt(169)
= 13
We are then multiplying by a scalar
||cu|| = -3*13 = -39
Kwame rode a bicycle for a distance of x km and walked another half hour at a rate of 6kmper an hour. If Kwame covered a total distance of 10km ,find the distance x he covered by bicycle.
Answers
Answer:
30-35 minutes
Step-by-step explanation:
write the equation -8x-1=3x^2+2
Answers
Answer:
x =(8-√28)/-6=4/-3+1/3√ 7 = -0.451
x =(8+√28)/-6=4/-3-1/3√ 7 = -2.215
Step-by-step explanation:
Rearrange
Step 1 :
Equation at the end of step 1 :
(-8x - 1) - (3x2 + 2) = 0
Step 2 : See below
Step 3 : See below
Pulling out like terms :
3.1 Pull out like factors :
Trying to factor by splitting the middle term
Step 4 :
Parabola, Finding the Vertex
Solve Quadratic Equation by Completing The Square
Answer:
x =(8-√28)/-6=4/-3+1/3√ 7 = -0.451
x =(8+√28)/-6=4/-3-1/3√ 7 = -2.215
Hope this helps.
In circle O, tangent MN and secant MPQ are drawn to the circle from exterior point M. If MP = 6 and PQ = 8 then which of the following is the length of MN ?
(1) 7
(2) 42
(3) 4 square root 3
(4) 2 square root 21
Answers
Answer:
42
Step-by-step explanation:
Question 5 (20 points) Circle L is shown. Line segments K L and M L are radii. The length of K L is 12. Angle M L K is 60 degrees. Sector M L K with a 60 degree angle is shaded. What is the area of the sector that is not shaded? a 24π square units b 120π square units c 12π square units d 144π square units
Answers
Answer:
b) is correct 120π square units
Step-by-step explanation:
The sector that is not shaded froms a 300 degree angle. The area of that sector and its angle are proportional with the area of the entire circle and its angle, which is 360 degrees.
We start by computing the area of the circle. Since the radius is 12 units, then the area of the circle is 12² * π = 144π square units. Therefore, the area of the non shaded area is
144π * 300/360 = 120π square units
as option b) suggests.
Answer:
C. 120pi units^2
Step-by-step explanation:
Just took the Unit Test on Edg (2021)!!
What is an equation of the line that passes through the points (0, 5)(0,5) and (-5, 1)(−5,1)? Put your answer in fully reduced form.
Answers
Answer:
y=4x/5+5
Step-by-step explanation:
Points are (0,5) and (-5,1)
(y-5)/(1-5)=x-0/[0-(-5)]
(y-5)/4=x/5
*5/5 *4/4
5(y-5)/20=4x/20
5y-25=4x
+25 +25
5y=4x+25
:5 :5
y=4/5*x+5
Use the given graph to determine the limit, if it exists
Answers
Answer:
Limit does not exist at x=3.
Step-by-step explanation:
Using the given graph, we need to check whether the limit exists or not.
From the given graph it is clear that
1. When x approaches to 3 from the left side then function approaches to -1.
2. When x approaches to 3 from the right side then function approaches to -3.
3. When x=3, the value of function is 7.
So, we conclude that
[tex]LHL=\lim\limits_{x\to 3^-}f(x)=-1[/tex]
[tex]RHL=\lim\limits_{x\to 3^+}f(x)=-3[/tex]
[tex]\lim\limits_{x\to 3}f(x)=7[/tex]
Since [tex]LHL\neq RHL[/tex], therefore the limit does not exist at x=3.
The graph shows a line and two similar triangles.
On a coordinate plane, a line goes through (0, 0) and (6, 4). A small triangle has a rise of 2 and run of 3. A larger triangle has a rise of 4 and run of 6.
What is the equation of the line?
y = three-halves x
y = two-thirds x
y = 3 x
y = 2 x
Answers
Answer:
B. 2/3
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
y= 2/3 x
A piecewise function f(x) is defined as shown. f(x) = StartLayout enlarged left-brace 1st Row 1st column negative five-fourths x + 90, 2nd column 0 less-than-or-equal-to x less-than 40 2nd row 1st column negative three-eighths x + 75, 2nd column 40 less-than-or-equal-to x less-than-or-equal-to 200 EndLayout Which table could be used to graph a piece of the function? A 2-column table has 3 rows. The first column is labeled x with entries 0, 16, 40. The second column is labeled y with entries 90, 85, 75. A 2-column table has 3 rows. The first column is labeled x with entries 0, 40, 200. The second column is labeled y with entries 90, 40, 0. A 2-column table has 3 rows. The first column is labeled x with entries 40, 120, 200. The second column is labeled y with entries 75, 30, 0. A 2-column table has 3 rows. The first column is labeled x with entries 40, 160, 200. The second column is labeled y with entries 60, 15, 0.
Answers
Answer:
(D)The first column is labeled x with entries 40, 160, 200. The second column is labeled y with entries 60, 15, 0.
Step-by-step explanation:
The piece-wise function, f(x) is defined as follows:
[tex]f(x)=\left\{\begin{array}{ccc}-\frac{5}{4}x+90 &0\leq x<40\\\\-\frac{3}{8}x+75 &40\leq x\leq 200\end{array}\right[/tex]
[tex]f(0)=-\frac{5}{4}*0+90=90\\\\f(16)=-\frac{5}{4}*16+90=70\\\\f(40)=-\frac{3}{8}*40+75=60\\\\f(120)=-\frac{3}{8}*120+75=30\\\\f(160)=-\frac{3}{8}*160+75=15\\\\f(200)=-\frac{3}{8}*200+75=0[/tex]
Therefore, the table which could represent the function is that which satisfies the points above.
In option D
[tex]\left|\begin{array}{c|c}x&f(x)\\--&--\\40&60\\160&15\\200&0\end{array}\right|[/tex]
The correct option is D
Answer:
D
Step-by-step explanation:
edge2020
Find each ratio x to y in decimal form. Then tell whether x and y are proportional. x y 3.25/2.5= 5.98/4.6= 6.76/5.2= 3.25 2.5 5.98 4.6 6.76 5.2
Answers
Answer:
Step-by-step explanation:
If x and y are proportional, it means that the ratio of x to y will always be constant value for each of the given ratios. Each ratio would be simplified by converting to decimals. Considering and converting each of the given ratios to decimal, it becomes
3.25/2.5 = 1.3
5.98/4.6 = 1.3
6.76/5.2 = 1.3
The constant value from the given ratios is always 1.3. Therefore, we can conclude that x and y are proportional.
Find the volume of a cube with the base edge of 13cm.
Answers
Answer:
Option (D)
Step-by-step explanation:
Formula for Volume of a cube:
[tex]V=a^3\\a-\text {side measure}[/tex]
The side measure for this cube is 13cm.
[tex]V=13^3\\13^3=13*13*13 = 2197\\\boxed {V=2197}[/tex]
Option D should be the correct answer.
Brainilest Appreciated.
I don't understand this.
Answers
Answer:
98 degrees
Step-by-step explanation:
Which expression is equivalent to : - 2/7 (-14y + 42)
Answers
Answer: 4y -12
Step-by-step explanation:
Let's take this step-by-step:
[tex]-\frac{2}{7}[/tex](-14y + 42)
Distribute the [tex]-\frac{2}{7}[/tex] to -14y and 42
[tex]-\frac{2}{7}[/tex] * -14y = 4y
[tex]-\frac{2}{7}[/tex] * 42 = -12
We get
4y + (-12)
Simplify this to get:
4y -12
Please help!
Jamal deposited $4,253 in a savings account earning 1% interest, compounded annually.
To the nearest cent, how much will he have in 4 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answers
Answer:
4425.7
Step-by-step explanation:
Answer:
He will have $4425.69 in 4 years
Step-by-step explanation:
Notice that the principal p = $4253
The interest (1%) in mathematical terms is given by: 0.01
the time t = 4 years
therefore the formula for these values becomes:
[tex]B=p(1+r)^t\\B=4253\,(1+0.01)^4\\B=4253\,(1.01)^4\\B=4425.68885[/tex]
Which rounded to the decimal place gives:
$4425.69
Max has 5.50. He has eight more quarters than he does nickels. He had four times as many dimes as he has nickels. How many quarters, nickels, and dimes does max have?
Answers
Answer:
There are 13 quarters, 5 nickels and 20 dimes.Step-by-step explanation:
Givens
Max has $5.50.He has eight more quarters than he does nickels.He had four times as many dimes as he has nickels.From these statements, we can deduce algebraical expressions to solve the problem. Let's call [tex]q[/tex] quarters, [tex]n[/tex] nickels and [tex]d[/tex] dimes.
[tex]q=n+8[/tex] (8 more quarters than nickels)
[tex]d=4n[/tex] (he has four times as many dimes as he has nickels).
[tex]0.25q+0.05n+0.10d=5.50[/tex] (Max has a total of $5.50, one quartes is $0.25, one nickel is $0.05 and one dime is $0.10).
Let's replace the first two expressions into the third equation
[tex]0.25(n+8)+0.05n+0.10(4n)=5.50\\0.25n+2+0.05n+0.40n=5.50\\0.70n=5.50-2\\n=\frac{3.50}{0.70}\\ n=5[/tex]
There are 5 nickels.
Now, we use this value to find the number of quarters
[tex]q=5+8=13[/tex]
There are 13 quarters.
Also, [tex]d=4(5)=20[/tex]
There are 20 dimes.
Therefore, there are 13 quarters, 5 nickels and 20 dimes.
{2x+5y=33.
3x-5y=-13
Answers
Answer:
x = 4, y =5
Step-by-step explanation:
2x+5y=33.
3x-5y=-13
Add the two equations together to eliminate y
2x+5y=33.
3x-5y=-13
-------------------
5x = 20
Divide by 5
5x/5 = 20/5
x = 4
Now find y
2x + 5y = 33
2(4) +5y = 33
8+5y = 33
Subtract 8 from each side
8+5y-8 = 33-8
5y = 25
Divide each side by 5
5y/5 = 25/5
y = 5
Samantha has chickens and sheep on her farm. Each chicken has two legs and each sheep has four legs. Each chicken has one head and each sheep has one head. She looked out one day and counted 48 animal heads and 134 legs. How many of each animal live on the farm?
Answers
Answer:
There are 29 chickens and 19 sheep.
Step-by-step explanation:
Samantha has chickens and sheep on her farm.
Let the number of chickens be c.
Let the number of sheep be s.
Each chicken has one head and each sheep has one head.
She looked out one day and counted 48 animal heads. Each chicken has one head and each sheep has one head.
This means that the number of chickens and sheep add up to 48:
c + s = 48 ____________(1)
She also counted 134 legs. Each chicken has one head and each sheep has one head. This means that:
2c + 4s = 134 ________(2)
From (1),
c = 48 - s ____________ (3)
Put (3) in (2):
2(48 - s) + 4s = 134
96 - 2s + 4s = 134
Collecting like terms:
2s = 134 - 96
2s = 38
s = 38 / 2 = 19
Putting this back in (3):
c = 48 - 19
c = 29
There are 29 chickens and 19 sheep.
A square is made using four rods of equal length joined end to end.
The perimeter of this square is 72 cm. Three of these rods are now joined end to end to make an equilateral triangle.
What is the perimeter of this equilateral triangle?
will mark brainliest for correct answer!
Answers
Answer: 54 cm
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Perimeter of a square = side length x4
Replacing with the values given:
72 = 4 s
Solving for s (side length)
72/4=s
s = 18 cm
Since the side length of the square is the length of each rod, and all the rods have the same length, to obtain the perimeter of the triangle we have to apply:
Perimeter of an equilateral triangle: 3 side length
P = 3 (18 ) = 54 cm
Feel free to ask for more if needed or if you did not understand something.
What is the answer ?
Answers
Answer:
C
Step-by-step explanation:
Remember that tan45deg is 1!
It is important to memorize these facts.
which expression is equivalent to 2(2a-5)-(a-3)
Answers
Answer:
The equivalent expression should be [tex]3a - 7[/tex] .
Step-by-step explanation:
Solve the expression:
[tex]2(2a-5) - (a -3)[/tex]
[tex]4a - 10 - (a -3)[/tex]
[tex]4a - 10 - a +3[/tex]
[tex]3a -10+3[/tex]
[tex]3a -7[/tex]
So, the answer is [tex]3a -7[/tex] .
Answer:
3a - 7
Step-by-step explanation:
A spinner is numbered from 1 to 10 with equal sectors. What is the
probability of landing on a number between 3 and 7?
Answers
Answer:
3/10
Step-by-step explanation:
There are 10 sections
Number between 3 and 7 = 4,5,6 = 3 sections
P (number between 3 and 7) = sections between 3 and 7/ total
=3/10
Two window washers, Grayson and Malik, lean a ladder against the side of a building so that Grayson can wash a window while Malik holds the ladder. The top of the ladder reaches the window, which is 8 meters off the ground. The base of the ladder is 3 meters away from the building. How long is the ladder?
Answers
Answer:
8.5m
Step-by-step explanation:
The ladder forms a right triangle with legs of 8 and 3, and the ladder is the hypotenuse. Using the Pythagorean Theorem, we get that the ladder is about 8.5 meters long. Hope this helps!
Answer:
≈8.544
Step-by-step explanation:
The Pythagorean theorem says that [tex]a^{2} + b^{2} = c^{2}[/tex], where c is the ladder. Replacing the variables for numbers gives you [tex]3^2 + 8^2 = c^2.[/tex] Simplifying the right side gives you 9+64, or 73. Because [tex]c^2\\[/tex]=73, the answer is [tex]\sqrt{73}[/tex], or ≈8.544. Hope this helps!
The rectangular prism is to be sliced parallel to the shaded base. What number is missing from the dimensions of the fords section?
Answers
Answer:
C (6)
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answers
Formula for the perimeter of a quarter circle: C = ((pi x 2r) / 4) + 2r
C = ((3.14 + 12) / 4) + 12
C = 3.785 + 12
C = 15.79 meters
Hope this helps! :)
Find the missing dimension of the cylinder. Round your answer to the nearest hundredth.
A cylinder with the radius of the base labeled z and the height of the cylinder labeled 15 meters. The volume is equal to 1696.5 cubic meters.
Answers
Answer:
The missing dimension, radius = 6.00 m
Step-by-step explanation:
We are given the following things:
Height of cylinder, [tex]h[/tex] = 15 m
Radius of cylinder, [tex]r = z[/tex] m (Labelled as [tex]z[/tex])
Volume of cylinder, [tex]V = 1696.5\ m^{3}[/tex]
Please refer to the image attached for the dimensions of cylinder as given.
We know that the volume of a cylinder can be given as:
[tex]V = \pi r^{2} h[/tex]
Where [tex]r[/tex] is the radius of cylinder
[tex]h[/tex] is the height of cylinder
Putting the values of [tex]V, r \text{ and } h[/tex]:
[tex]1696.5 = \pi z^{2} \times 15\\\Rightarrow z^{2} = 36.01\\\Rightarrow z = 6.00\ m[/tex]
Hence, The missing dimension, radius = 6.00 m
(Repost)
Which two expressions have the same value?
Answers
Answer:
c & d
Step-by-step explanation:
A boy saves up $74 for a gift for his friend. However, upon reaching the store, he realizes that he saved 128% of the actual amount he needed to buy the present. How much does the present cost? Round to the nearest cent. (marking brainliest)
Answers
Answer:
57.8325
Step-by-step explanation:
74=128% x whole
74/128%= whole
57.8125=price if the present
find the area of each sector. Use the 3.14 as the value of pi. Round your answer to the nearest tenth. Part 4
Answers
Answer:
1) 378.1 in²
2) 8.4 m²
Step-by-step explanation:
Area of sector= [tex] \frac{θ°}{360°} \times \pi {r}^{2} [/tex]
1) Area of sector
[tex] = \frac{150°}{360°} \times 3.14 \times {17}^{2} \\ = 378.1 \: in^{2} \\ (nearest \: tenth)[/tex]
2) Area of sector
[tex] \frac{60°}{360°} \times 3.14 \times {4}^{2} \\ = 8.4 \: m^{2} \\ (nearest \: tenth)[/tex]
Is the missing side length leg or the hypotenuse
Answers
Answer:
The Hypotenuse is going to be the longest side of a Right Triangle.
Step-by-step explanation:
PLZZ NEED HELP ASAPPP :((
I wish I knew..
Use the stem-and-leaf plot. What is the place value of the leaves? ( if anyone gets it )
hundredths place
tens place
ones place
tenths place
16] 1 1 2 3 5 5
17] 0 2 2
18] 4 5 8 9
19] 3 6 7 9 9 9
Key : 19 , 3 means 19.3
Answers
Answer: I would say it hundredth place
Step-by-step explanation:
Answer:
hundredth place is your answer
please mark my answer as brainlist ✌️
and I am Indian I like to make friends