Answer: 16
Step-by-step explanation:
64/4=16
n=16
Answer:
16
Step-by-step explanation:
4n = 64
n = 16 --------> Divide by 4 on each side
if x^2+y^2=14 annd xy=5 find the value of (1/2x+1/2y)^2
Answer:
7Step-by-step explanation:
[tex]\left(\frac12x+\frac12y\right)^2=\\\\=\left[\frac12(x+y)\right]^2=\\\\=\left(\frac12\right)^2\left(x+y\right)^2=\\\\=\frac14\left(x+y\right)^2=\\\\=\frac14(x^2+2xy+y^2)=\\\\=\frac14(x^2+y^2+2xy)=\\\\=\frac14(14+2\cdot5)=\\\\=\frac14\cdot28=\\\\=7[/tex]
!helppppppppp meeeeeeee emmmmmm!
Answer & Step-by-step explanation:
Take the last expression:
[tex](3*3)*(4*4)[/tex]
This can be simplified using exponents. [tex]x*x=x^2[/tex] :
[tex]3^2*4^2[/tex]
So, take the two numbers within the parentheses from the first expression and write separately, including the exponent with each. Do this with the next problem:
[tex](5*6)^3=5^3*6^3[/tex]
:Done
Solve |2x+3/4 |=5 1/2 Please help!!!!
Answer:
=2x+3/4=5.50
x=19/8 or 2 3/8
hope this helps
Step-by-step explanation:
(x-1)(x+4) write in standard form
Answer:
x^2+3x-4
Step-by-step explanation:
(x-1)(x+4)
x^2+4x-x-4
x^2+3x-4
Hope this helps ;) ❤❤❤
Answer:
y = x² + 3x -4
Step-by-step explanation:
we can use the FOIL formula
(x-1) (x+4)
x² + 4x - x -4
x² + 3x -4
therefore, the standard form would be y = x² + 3x -4
Help me please. I need it
Answer/Step-by-step explanation:
Use the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], to solve each problem.
1. Distance between A(0, 0) and B(-5, 7):
[tex] (0, 0) = (x_1, y_1) [/tex]
[tex] (-5, 7) = (x_2, y_2) [/tex]
[tex] AB = \sqrt{(-5 - 0)^2 + (7 - 0)^2} = \sqrt{(-5)^2 + (7)^2} = \sqrt{25 + 49} [/tex]
[tex] AB = \sqrt{74} [/tex]
2. Distance between A(-3, 1) and B(-11, 1):
[tex] (-3, 1) = (x_1, y_1) [/tex]
[tex] (-11, 1) = (x_2, y_2) [/tex]
[tex] AB = \sqrt{(-11 - (-3))^2 + (1 - 1)^2} = \sqrt{(-8)^2 + (0)^2} = \sqrt{64 + 0} [/tex]
[tex] AB = \sqrt{64} = 8 [/tex]
3. Distance between A(-3, -2) and B(5, 6):
[tex] (-3, -2) = (x_1, y_1) [/tex]
[tex] (5, 6) = (x_2, y_2) [/tex]
[tex] AB = \sqrt{(5 - (-3))^2 + (6 - (-2))^2} = \sqrt{(8)^2 + (8)^2} = \sqrt{64 + 64} [/tex]
[tex] AB = \sqrt{128} = \sqrt{64*2} [/tex]
[tex] AB = 8\sqrt{2} [/tex]
4. Distance between A(-2, -5) and B(-6, 1):
[tex] (-2, -5) = (x_1, y_1) [/tex]
[tex] (-6, 1) = (x_2, y_2) [/tex]
[tex] AB = \sqrt{(-6 - (-2))^2 + (1 - (-5))^2} = \sqrt{(-4)^2 + (6)^2} = \sqrt{16 + 36} [/tex]
[tex] AB = \sqrt{52} [/tex]
None of the choices are correct
I need help with 6 and 7
Answer:
Step-by-step explanation:
6):
Take the small right triangle with the sides 25 and 7.
☆ The Pythagorian theorem ☆
Let x be the third side.
● 25^2 = x^2 + 7^2
Substract 7^2 from both sides
● 25^2 -7^2 = x^2 +7^2 -7^2
● x^2 = 25^2 -7^2
● x^2 = 576
● x = 24 inches
The third that we find is the half of the side of the square.
Multiply it by 2 and get the side of the square.
● 24 × 2 = 48 inches
The perimeter of the square is the side times 4.
● P = 48 × 4
● P = 192 inches
■■■■■■■■■■■■■■■■■■■■■■■■■■
7):
Both triangles are righr and they have a khown angle.
Start with the small one and calculte the third angle.
The sum of a triangle angles is 180°
Let B be the third angle.
● B = 180-(90+51) = 39°
That's equal to the second angle of the second's triangle.
So it's an AA similarity.
So:
● x/24 = 7/15
● x = (7/15)×24
● x = 11.2
1. Tell whether the number 47 is prime
or
composite. Then write all the factors of the number.
2.Tell whether the number 81 is prime
or
composite. Then write all the factors of the number
Answer:47 is a prime and 81 is a composite
Step-by-step explanation:47={1,47}
81={1,3,9,18,27,81}
1. The number 47 is prime. The only factors are 1 and itself. We can check by dividing 47 over the list of primes smaller than 47. To be more efficient, we can stop once we reach sqrt(47) = 6.85. So we only need to check the primes {2, 3, 5} to show they are not factors of 47 to show that 47 is prime.
=====================================
2. The number 81 is composite. It is not prime because it has factors other than 1 and itself.
There are 5 factors and they are
1, 3, 9, 27, 81
Note how each factor listed is a power of 3 (1 = 3^0, 3 = 3^1, 9 = 3^2, 27 = 3^3, 81 = 3^4)
The prime factorization of 81 is
81 = 3*3*3*3 = 3^4
How to do this question plz answer me step by step plzz plz
Answer:
20π cm
Step-by-step explanation:
The circumference (C) of a circle is calculated as
C = 2πr ( where r is the radius )
Here r = 10 , thus
C = 2π × 10 = 20π cm
Answer:
hope it helps
Step-by-step explanation:
circumference of a circle = 2*pi*r = 2*pi*10 =20picm
A professor said 4/5 of his students passed the final examination. If 60 students took the exam, how many passed?
Answer:
Hey there!
We have that 4/5, or 80% of the 60 students passed the exam.
Thus, we have:
0.8(60)=48
48 students passed the exam.
Let me know if this helps :)
URGENT PLZ!! Drag the correct transformation into the box to match the definition. [BLANK]... moves points across a specified line so that the line is the perpendicular bisector of each line segment connecting corresponding preimage and image points. Translation Rotation Reflection
Answer:
Reflection.
Step-by-step explanation:
Reflection moves points across a specified line so that the line is the perpendicular bisector of each line segment connecting corresponding pre-image and image points.
On the other hand, "Translation" moves points the same distance along lines that are parallel to each other while "Rotation" moves points along concentric circles and through the same angle of rotation.
At an angle of 90°, a line of reflection intersects the line segments connecting corresponding points of the pre-image under a reflection.
Basically, a reflection allows us to flip an object or figure across a line, point or plane without any change in its shape or size.
Hence, to reflect an object or a figure such as a triangle simply means that its mirror image would be produced with respect to a line; this line is generally referred to as the line of reflection.
The fuel efficiency of one type of car is recorded in a scatterplot where the amount of gas used, x (in gallons), is paired with the distance traveled, y (in miles), for various trips. The equation for the line of best fit for the data is y = 28x. How can the y-intercept and slope of this line be interpreted
Answer:
The answer can be interpreted by the distance moved by each gallon :))
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
Just took it. Edg 2020. Hope this helps :)
ANSWER QUESTIONS QUICKLY PLZZZZZZ
Answer:
See below.
Step-by-step explanation:
Since the two triangles are similar, this means that their corresponding sides are proportional. In other words:
[tex]\frac{PQ}{XY}=\frac{QR}{YZ}=\frac{RP}{ZX}[/tex]
Part A:
We already know PQ, RP, XY, and YZ.
To find XZ, we can use the first and third proportions:
[tex]\frac{PQ}{XY} =\frac{RP}{ZX} \\=\frac{7.2}{18}=\frac{6.5}{ZX}[/tex]
Cross multiply:
[tex]117=7.2(ZX)\\ZX \text{ or } XZ = 16.25[/tex]
Part B:
The same thing as Part A, but with the first and second proportions:
[tex]\frac{PQ}{XY}=\frac{QR}{YZ}\\\frac{7.2}{18}=\frac{QR}{7}\\50.4=18(QR)\\QR=2.8[/tex]
3. Miss. Mead pays Miss. Adams $160.00 per week. She works 40 hours per week. Miss. Adams
was idle for 4 hours and 30 minutes during one week. How much did Miss. Mead pay for idle
time?
SHOW
a. $16.00 b. $18.00 c. $22.00 d. $24.00
Answer:
B. $18.00
Step-by-step explanation
160/4 divide 160 by 4 to see how much Miss Adams makes and hour
She makes $4 an hour
multiply this ($4) by her idle time (4.5) hours to get $18
Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
Answer:
y = 0.8x + 10
Step-by-step explanation:
From the given graph,
Graphed line passes through two points (0, 10) and (50, 50)
Let the equation of the given line is,
y = mx + b
Where m = slope of the line
b = y-intercept
Since slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{50-10}{50-0}[/tex]
m = [tex]\frac{4}{5}[/tex] = 0.8
y-intercept of the line 'b' = 10
Therefore, equation of the line of best fit will be,
y = 0.8x + 10
Simplify 4 to the 2nd power times 4 to the eighth power 
A. 4 to the 16th power
B. 4 to the 10 power
C. 16 to the 16 power
D. 16 to the 10 power
Please help ASAP!!!!!!!!
Answer:
4 to the power of 10.
Step-by-step explanation:
A rule is that x to the power of y + x to the power z of must equal x to the power of z+y.
Answer:
Option B
Step-by-step explanation:
4²×4^8
4^(2+8)
4^10
4 to the 10th power
If the lengths of the legs of a right triangle are 4 and 8, what is the length of the hypotenuse?
Answer:
8.94~9.0
Step-by-step explanation:
If A squared plus B squared equals C squared. Then you can used this formula and find that 4 squared plus 8 squared equals 80. then square root 80 to find 8.94 or rounded to 9. This would equal C or the hypotenuse. Hope this helps!
The required length of the hypotenuse of the triangle is 16√5.
Given that,
If the lengths of the legs of a right triangle are 4 and 8, what is the length of the hypotenuse is to be determined.
In a right-angled triangle, its side, such as hypotenuse, perpendicular, and the base is Pythagorean triplets.
Here,
Applying the Pythagorean theorem,
Hypotenuse² = perpendicula² + base²
Hypotenuse² = 8² + 4²
Hypotenuse² = 64 + 16
Hypotenuse² = 80
Hypotenuse = √80
Hypotenuse = 16√5
Thus, the required length of the hypotenuse of the triangle is 16√5.
Learn more about Pythagorean triplets here:
https://brainly.com/question/10174253
#SPJ2
find the area of a rhombus with a 120 degree angle and sides 10 cm
Answer:
A = 50√3 cm²Step-by-step explanation:
[tex]A=s^2\cdot \sin\alpha\\\\s=10\\\alpha=120^o\\\\A=10^2\cdot\sin(120^o)=100\sin(180^o-60^o)=100\sin(60^o)=100\cdot\frac{\sqrt3}2=50\sqrt3[/tex]
Simplify the expression 4x-8-2-9x
Answer:
Step-by-step explanation:
4
Answer:
-5x-10
Step-by-step explanation:
first rearrange the expression:
4x-9x-8-2
next combine like terms
-5x-10
thats your answer! hope this helps! :)
Write each expression using a positive exponent. ("/" means division)("^" means to the power of) 9^-4
Answer:
[tex]\frac{1}{9^4}[/tex].
Step-by-step explanation:
[tex]9^{-4}[/tex]
= [tex]\frac{1}{9^4}[/tex]
= [tex]\frac{1}{9 * 9 * 9 * 9}[/tex]
= [tex]\frac{1}{81 * 81}[/tex]
= [tex]\frac{1}{6561}[/tex]
= 0.0001524157903.
Hope this helps!
What is the solution to -33 + m = 10?
A. m = -43
B. m = -23
C. m = 23
D. m = 43
Answer:
D. m = 43
Step-by-step explanation:
Answer: D. m=43
Step-by-step explanation:
-33 +m = 10move 33 and make it postive m = 10 + 33m = 43scott can deliver 10 pizzas per hour and kenneth can deliver 12 per hour how mnay hours will it take them to deliver 110 pixzas
Answer:
5 hours
Step-by-step explanation:
Scott's delivery rate = 10 pizzas per hour
Kenneth's delivery rate = 12 pizzas per hour
Combined delivery rate
= Scotts delivery rate + Kenneth's delivery rate
= 10 + 12
= 22 pizza's per hour (take reciprocal to find the rate in "hours per pizza")
= 1/22 hours per pizza
Given that they both deliver 110 pizzas combined, the will take
= 1/22 hours per pizza x 110 pizzas
= (1/22) x 110
= 5 hours
I Need Help With This One :/
Answer:
(-5) ^ 11
Step-by-step explanation:
(-5) ^5 / (-5) ^ -6
We know that a^ b / a^ c = a^ ( b-c)
(-5)^ (5 - -6)
(-5) ^ (5+6)
(-5) ^ 11
Answer:
-5
Step-by-step explanation:
Mathaway
A 108-inch is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.
Long piece is 81 inches
====================================================
Explanation:
x = length of short piece
3x = length of the longer piece (3 times longer)
x+3x = 4x = total length
total length = 108
So 4x = 108 is the equation which solves to x = 27 after dividing both sides by 4.
The short piece is x = 27 inches and the long piece is 3*x = 3*27 = 81 inches. Adding the two pieces gives 27+81 = 108 which helps confirm the answer.
1. In a right triangle, the lengths of the legs are a and b. Find the length of a hypotenuse, if: a=1, b=1; 2. In a right triangle, the length of a hypotenuse is c and the length of one leg is a. Find the length of the other leg, if: c=5, a=3;
Answer:
1. [tex]c = \sqrt{2}[/tex].
2. b = 4.
Step-by-step explanation:
To solve these two questions, keep the Pythagorean Theorem in mind: [tex]a^2 + b^2 = c^2[/tex]. Also remember that measurements cannot be negative, so we will disregard the negative answers.
1. a = 1, and b = 1. c = ?
[tex]1^2 + 1^2 = c^2[/tex]
[tex]1 + 1 = c^2\\[/tex]
[tex]c^2 = 1 + 1\\c^2 = 2\\\sqrt{c^2} = \sqrt{2}\\c = \sqrt{2}[/tex]
2. a = 3, c = 5. b = ?
[tex]3^2 + b^2 = 5^2\\9 + b^2 = 25\\b^2 = 16\\\sqrt{b^2} = \sqrt{16}\\b = 4[/tex]
Hope this helps!
William and
Debra
Pierce are celebrating their
20th anniversary by having a reception at a local reception hall. They have budgeted
$2,000 for their reception. If the reception hall charges a
$50 cleanup fee plus
$36 per person, find the greatest number of people that they may invite and still stay within their budget.
Answer:
54
Step-by-step explanation:
i put in the calculator 50+36×54= and got this 1,994
Re:A package of 8-count AA batteries costs $6.32. A package of 20-count AA batteries costs $16.00. Which statement about the unit prices is true?
A. The 8-count batteries have a lower rate unit price of $0.79 per battery
B. The 20-count pack of AA batteries has a lower unit price of $0.79 per battery.
C. The 20-count pack of AA batteries has a lower unit price of $0.80 per battery.
D. The 8-count pack of AA batteries has a lower unit price of $0.80 per battery.
Answer:
b
Step-by-step explanation:
Answer:
B. The 20-count pack of AA batteries has a lower unit price of $0.79 per battery.
Step-by-step explanation:
I just have an educated guess out of the info that you gave me.
Determine whether or not the given pair of triangles is similar and state how you know.
Is ΔGHI ~ ΔJKI?
Mark all that apply.
Answer:
by SAS. YesStep-by-step explanation:
∠HIG and ∠JIK are vertical angles, so:
m∠HIG = m∠JIK
[tex]\dfrac{GI}{IJ}=\dfrac{7.5}3=2.5\\\\\dfrac{HI}{IK}=\dfrac{2.5}1=2.5[/tex]
[tex]\left\{\dfrac{GI}{IJ}=\dfrac{HI}{IK}\quad\ \wedge\quad m\angle HIG=m\angle JIK\right\}\implies \triangle HIG\sim\triangle JIK\ \ by\ SAS[/tex]
Miguel's basketball team is down seven points from their opponents. If they make a two-point field goal, how many more points do they need to tie the game? Justify your answer by writing a number sentence to represent this situation.
Answer: Answer is the steps
Step-by-step explanation:
If they are down by seven points then it means that they are losing by 7 points.And fortunately they made two-point field goal so they will now be down by 5 points. Which means that they need 5 more points to tie the game.
For example,
-7 represents the points that they are down by and they made 2 points so
-7 + 2 = -5 which means that they are now down by 5 points to make a tie game.
Answer:-7+2+5=0
Step-by-step explanation:
The day before an exam, Jacob spent 2 1/5
hours studying in the morning and 3 3/4 hours
studying in the afternoon. How many hours
did Jacob spend studying that day?
Answer:
5 19/20 or 5.95
Step-by-step explanation:
You can add these numbers as decimal numbers or as mixed numbers.
Decimal
2.2 +3.75 = 5.95 . . . hours spent studying
Mixed Numbers
(2 1/5) +(3 3/4) = (2 4/20) +(3 15/20) = (2 +3) +(4/20 +15/20)
= 5 19/20 . . . hours spent studying
During summer vacation, Wesley read, on average, 20 pages per night. Now that he has returned to school, he is averaging 65% fewer. How many pages per night is Wesley averaging now?
Answer:
He is currently reading 7 pages per night
Step-by-step explanation:
We can simply the question a little by finding what percent of the original Wesley is currently reading. Instead of saying 65% fewer, we can say he is reading 35% of what he used to read
Now we need to set up a proportion to solve the problem.
35% of 20
35/100=x/20
Cross multiply
35x20=700
700/100=7
He is currently reading 7 pages per night