57+3x+6=90degree
60+3x=90
3x=90-60
3x=30
x=30/3
x=10
Answer:
[tex] \boxed{x \degree = 9 \degree} [/tex]
Step-by-step explanation:
[tex] = > 90\degree + 57\degree + (3x + 6)\degree = 180\degree \\ \\ = > 57\degree + (3x + 6)\degree = 180\degree - 90\degree \\ \\ = > 57\degree + (3x + 6)\degree = 90\degree [/tex]
Two Angles are Complementary when they add up to 90° (a Right Angle).
[tex] = > 57 \degree + (3x + 6) \degree = 90 \degree \\ \\ = > 57 \degree + 3x \degree + 6 \degree = 90 \degree \\ \\ = > 63 \degree + 3x \degree = 90 \degree \\ \\ = > 3x \degree = 90 \degree - 63 \degree \\ \\ = > 3x \degree = 27 \degree \\ \\ = > x\degree = \frac{27}{3}\degree \\ \\ = > x\degree = 9\degree[/tex]
HELP ASAP!!
What is the surface area of a CUBE where the length of each edge is 4 feet?
A) 12 feet
B) 24 feet
C) 64 feet
D) 96 feet
Answer:
96
Step-by-step explanation:
Each face of the cube has an area of 4 * 4 = 16 and since there are 6 faces on a cube the answer is 16 * 6 = 96.
What is the domain of this function?
Answer:
Step-by-step explanation:
The closed dot at (0, 9) indicates that that's where the graph begins. The arrow at the other end indicates that it has no end. Since the domain covers x values only (NOT Y VALUES!), we only need be concerned with the x values. It starts at x = 0 and never ends, so the domain is properly stated as
{x | x ≥ 0}
Each handful of cheese covers 21 sqaure inches. How much handful of cheese they need to cover 5 slices of cheese with a area of 125.7in
Answer: 30
Step-by-step explanation:
Hi, to answer this question, first we have to multiply the number of slices of cheese (5) by the area of each slice (125.7)
125.7 (5) = 628.5 in2
Finally we have to divide that result by the area that each handful of cheese covers (21 in2)
628.5 / 21 = 29.92 = 30 handful of cheese
Feel free to ask for more if needed or if you did not understand something.
Answer:
30
Step-by-step explanation:
Sierra is driving to visit her family. She wants to drive at least 500 miles today. She has already driven 248 miles and will keep driving at a constant speed of 62 miles per hour. What number of hours can Sierra drive to meet her goal of at least 500 miles? 500 ≤ 248 + 62x Both need different answers please
Answer:
4.06451 hours
note this answer is not rounded as you did not indicate round to what decimal values.
Step-by-step explanation:
Solving using equation
500 ≤ 248 + 62x
500-248 ≤ 62x
252 ≤ 62x
252/62 ≤ x
4.06451 ≤ x
Another way to solve
500-248= 252
she needs to travel 252 miles
speed = 62mph
note: speed = distance/time
therefore time= distance/speed
time = 252/62 = 4.06451
Number of hours Sierra needs to travel to meet her goal is 4.065 hours.
What is Linear Inequalities?Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.
Sierra wants to drive at least 500 miles today.
She has already driven 248 miles.
Remaining distance is driving at a constant speed of 62 miles per hour.
Let the time needed for the remaining distance to complete is x.
Speed = Distance / Time
Distance = Speed × Time
Distance = 62x
Total distance covered = 248 + 62x
This must be at least 500.
248 + 62x ≥ 500
62x ≥ 500 - 248
62x ≥ 252
x ≥ 252 / 62
x ≥ 4.065
Hence Sierra has to drive at least 4.065 hours to meet her goal.
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Ling likes to listen to different types of music. One afternoon, she listened to 4 rap and 12 country songs. How can you describe the relationship between rap and country songs? Check all that apply.
1. For every 12 rap songs Ling listened to, she listened to 4 country songs.
2. For every rap song Ling listened to, she listened to 3 country songs.
3. Ling listened to 3 times as many country songs as rap songs.
4. Ling listened to a ratio of 4 rap songs to 12 country songs.
Answer:
For every rap song Ling listened to, she listened to 3 country songs.
Ling listened to 3 times as many country songs as rap songs.
Ling listened to a ratio of 4 rap songs to 12 country songs.
Step-by-step explanation:
Answer:
2,3,4
Step-by-step explanation:
whoever gets done faster wins
Answer:
2%
Step-by-step explanation:
Solution
0.02*100%
=2%
hope it helps...
Good luck on your assignment
What are the answers? No hurry; I just have other things to do.
Answer:
what u need help with
Step-by-step explanation:
What is 1/7 x 140 ( Multiplying fractions by whole numbers using tape diagrams)
Answer:
20
Step-by-step explanation:
20 is your answer
if f(x) = 3x-2 and g(x) =2x+1 fine (f-g)(x)
Answer:
=x -3
Step-by-step explanation:
f(x) = 3x-2
g(x) =2x+1
(f-g)(x) = 3x-2 -(2x+1)
Distribute the minus sign
= 3x-2 -2x-1
Combine like terms
=3x-2x-2-1
=x -3
Select the correct answer.
For which value of b can the expression x2 + bx + 18 be factored?
Answer:
11x
Step-by-step explanation:
(x + 2)(x + 9)
x2 + 9x + 2x + 18
x2 + 11x + 18
This is one possibility :)
What is the value of x? Round to the nearest tenth and show your work
Answer: A. mark as brainliest
Step-by-step explanation: dont need to
Given the coordinates for the function below which of the following are coordinates for its inverse
Answer:
Not sure but I believe it is A
Step-by-step explanation:
The coordinates of the inverse function would be, ($0.08, $1.00), ($0.16, $2.00), ($0.24, $3.00), ($0.52, $6.50), ($0.80, $10.00)
The correct answer is an option (B)
What is a function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is inverse function?"It is a function that serves to “undo” another function.""The inverse function of y = f(x) is [tex]x=f^{-1}(y)[/tex]. "For given question,
We have been given a function.
We need to find the coordinates of the inverse function.
We know, the coordinates of the inverse of a function obtained by interchanging the first and second elements of each pair.
So, the coordinates of the inverse function would be, ($0.08, $1.00),
($0.16, $2.00), ($0.24, $3.00), ($0.52, $6.50), ($0.80, $10.00)
Therefore, the coordinates of the inverse function would be, ($0.08, $1.00), ($0.16, $2.00), ($0.24, $3.00), ($0.52, $6.50), ($0.80, $10.00)
The correct answer is an option (B)
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I have been trying to find this for awhil: Find the other endpoint of the line segment with the given endpoint and midpoint.
Endpoint 1: (0,2) Midpoint: (4,5)
Answer:
8.8
Step-by-step explanation:
4.5-0.2=4.3
The difference is 4.3 add 4.3 to 4.5=8.8
Un padre para estimular a su hijo para estudiar matemáticas le dice: por cada ejercicio que resuelvas bien te daré 7 € y por cada uno que hagas mal me darás 1 €. Después de hacer 45 ejercicios, el muchacho se encuentra con 19 €. ¿Cuántos ejercicios ha resuelto bien?
Answer:
8 ejercicios
Step-by-step explanation:
De acuerdo a la información dada, puedes plantear las siguientes ecuaciones:
x+y= 45 (1)
7x-1y= 19 (2)
x= ejercicios que resolvió bien
y= ejercicios que resolvió mal
Primero, puedes despejar x en (1):
x= 45-y (3)
Segundo, debes reemplazar (3) en (2):
7(45-y)-1y=19
315-7y-1y= 19
315-8y= 19
315-19= 8y
296= 8y
y= 296/8
y= 37
Tercero, debes reemplazar el valor de y en (3) para encontrar x:
x= 45-37
x= 8
De acuerdo a esto, la respuesta es que el hijo ha resuelto bien 8 ejercicios.
What is the probability of getting tails when you flip a coin?
Answer: We conclude that the probability to flip a head is 1/2, and the probability to flip a tail is 1/2.
Explain how to solve this problem by writing down the steps. The grass on the field erodes by -1 1/2% every year. If the total length of grass on the field was 220 feet long 3 years ago, how long is the length of grass on the field now?
Answer:
Step-by-step explanation:
Since the grass on the field erodes by -1 1/2% every year, it means that the rate of erosion is exponential. It is therefore eroding in geometric progression. We would apply the formula for determining the sum of n terms of a geometric sequence which is expressed as
Sn = a(1 - r^n)/(1 - r)
Where
n represents the number of terms(number of years) in the sequence.
a represents the first term in the sequence(the length 3 years ago)
r represents the common ratio(rate of erosion)
From the information given,
a = 220 feet
r = - 1.5/100 = - 0.015
n = 3
Therefore, the length of the field after 3 years, S3(length of the field now) would be
Sn = a(1 - r^n)/(1 - r)
S3 = 220(1 - (- 0.015^3)/(1 - - 0.015)
S3 = 220.0007425/1.015
S3 = 216.7495 feet
I need help with this question, Please
Answer:
42
Step-by-step explanation:
Just use Pythagoras theorem
Find the area of the triangle.
a.
620 sq. m
c.
540 sq. m
b.
270 sq. m
d.
980 sq.m
Answer:
[tex]270 \:m^2[/tex]
Step-by-step explanation:
The area of the triangle.
[tex]bh\frac{1}{2}[/tex]
[tex]b \times h \times \frac{1}{2}[/tex]
[tex]20 \times 27 \times \frac{1}{2}[/tex]
[tex]540 \times 1/2[/tex]
[tex]=270[/tex]
The area of triangle would be;
⇒ Area of triangle = 270 m²
Since, A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Here, Given that;
Base of triangle = 20 m
Height of triangle = 27 m
Now, We know that;
Area of triangle = 1/2 × Base × Height
Substitute all the values, we get;
⇒ Area of triangle = 1/2 × Base × Height
⇒ Area of triangle = 1/2 × 20 × 27
⇒ Area of triangle = 270 m²
Thus, The area of triangle would be;
⇒ Area of triangle = 270 m²
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I NEEED HEEELLLPP
Which sequence of transformations could be used to map quadrilateral RSTU onto R"S"T"U"?
T(−1, −3) ° ry−axis
T(−3, −1) ° ry−axis
T(−1, 3) ° R0,180°
T(3, −1) ° R0,180°
Answer:
c) T(−1, 3) ° Rotation,180°
Step-by-step explanation:
Explanation:-
First we will apply transformation is
Rotation of 180° then we will apply transformation is changes
(x,y) to (-x ,-y)
a)
Given vertex T( 2 ,2 )
T( 2 ,2 )→ T( -2 ,-2)
Next we will apply rule
Horizontal translation left '1' units and Vertical translation up 'd' units
T( -2 ,-2) → T¹ ( -2 -1 ,-2 +3)
The new vertex is T¹ ( -3 ,1)
b)
Given vertex U( 4 ,2 )
U( 4 ,2 )→ U( -4 ,-2)
Next we will apply rule
Horizontal translation left '1' units and Vertical translation up 'd' units
U -4 ,-2) → U¹ ( -4 -1 ,-2 +3)
The new vertex is U¹ ( -5 ,1)
c)
Given vertex R( 3 ,5 )
R( 3 ,5 )→ R( -3,-5)
Next we will apply rule
Horizontal translation left '1' units and Vertical translation up 'd' units
R( -3 ,-5) → R¹ ( -3 -1 ,-5 +3)
The new vertex is R¹ ( -4 ,-2)
d)
Given vertex S( 1 ,3 )
S( 1 ,3 )→ S( -1 ,-3)
Next we will apply rule
Horizontal translation left '1' units and Vertical translation up 'd' units
S( -1,-3) → S¹ ( -1 -1 ,-3 +3)
The new vertex is S¹ ( -2,0)
A shirt originally cost $49.31, but it is on sale for $41.91. What is the percentage decrease of the price of the shirt? If necessary, round to the nearest percent.
Answer:
8%
Step-by-step explanation:
The Cost price is = 49.31
The Selling price is = 41.91
The profit is =-7.4
The percentage decrease of the price of the shirt is hence=
=41.31/49.31 * 100
= 8%
Hence, 8% is the percentage of the decrease of the price of the shirt.
A jar contains 56 quarters and pennies. The total value of the coins is $3.92. Which system of equations can be used to find p, the number of pennies, and q, the number of quarters?
Answer:
let x = the number of nickels
the number of pennies can be represented by (56 - x)
.05x + .01(56 - x) = 1.52
5x + (56 - x) = 152 if in the above line we multiply both sides of the equation by 100
4x + 56 = 152
4x = 96
x = 24
There are 24 nickels and 56 - 24 = 32 pennies
24 nickels are worth 24 * 5 = $1.20 and 32 pennies are obviously worth 32 cents, so the total is 1.20 + 0.32 = $1.52
Step-by-step explanation:
Morgan wants to save to buy a car and decides to open a banking account that is offering an interest rate of 4.5% compounded annually. How much will Morgan have in the account after 5 years if $7,000 is deposited today?
Answer:
He'll have approximately $8723.3 on his account in five years.
Step-by-step explanation:
Since the amount invested is compounded yearly, we can calculate the amount he'll have in 5 years by using the following expression:
[tex]M = C*(1 + r)^t[/tex]
Where M is the final amount, C is the invested money, r is the interest rate and t is the time elapsed in years. Applying the data from the problem we have:
[tex]M = 7000*(1 + \frac{4.5}{100})^5\\M = 7000*(1 + 0.045)^5\\M = 7000*(1.045)^5\\M = 8723.274\\[/tex]
He'll have approximately $8723.3 on his account in five years.
The volume of a cuboid is 360cm3. The length is 3cm and the width is 80mm. Work out the height of the cuboid in cm.
Answer:
[tex]15\:cm[/tex]
Step-by-step explanation:
Use the formula for the volume of a cuboid.
[tex]V=lwh[/tex]
[tex]80\:mm=8\:cm[/tex]
[tex]360=3 \times 8 \times h[/tex]
[tex]360=24 \times h[/tex]
[tex]360 \div 24 = h[/tex]
[tex]15=h[/tex]
The height of the cuboid 15 cm.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
Here, we have,
The volume of a cuboid is 360cm3.
The length is 3cm and the width is 80mm.
now,
80mm=8cm
volume= l*w* h
i.e. 360 = 3* 8*h
so, h= 15
Hence, The height of the cuboid 15 cm.
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Please help me simplify these expressions
Answer:
32•z^4•s^7
20w^9
Step-by-step explanation:
We simply use the multiplication law of indices to work these out.
1. 8zs^2 * 4z^3s^5 = 32 * z^(1+3) * s^(2+5) = 32•z^4•s^7
2. 5w^5 * 4w^4 = 20 * w^5 + 4 = 20w^9
Please answer correctly !! Will mark brainliest !!!!!!!!!
Answer:
6 seconds
Step-by-step explanation:
h(x) = 0 m , when the ball is on the ground.
h(x) = - (x-2)² + 16
0 = - (x-2)² + 16
(x-2)² = 16
√(x-2)² = +/- √16
(x-2) = 4 , (x-2) = - 4
x - 2 = 4 , x = -2
x = 6
We can use only positive solution.
Let $z$ and $w$ be complex numbers satisfying $|z| = 4$ and $|w| = 2$. Then enter in the numbers\[|z+w|^2, |zw|^2, |z-w|^2, \left| \dfrac{z}{w} \right|^2 \]below, in the order listed above. If any of these cannot be uniquely determined from the information given, enter in a question mark.
Answer:
a) |z+w|² cannot be uniquely determined from the information provided.
b) |zw|² = [|z| × |w|]² = (4×2)² = 64.
c) |z+w|² cannot be uniquely determined from the information provided.
d) |z/w|² = [|z|/|w|]² = (4/2)² = 4
Step-by-step explanation:
z & w are complex numbers with magnitudes
|z| = 4
|w| = 2
We are the told to find
|z + w|²
|zw|²
|z - w|²
|z/w|²
Let the complex numbers be
z = x + iy
w = a + ib
|z| = √(x² + y²) = 4
|w| = √(a² + b²) = 2
|z|² = x² + y² = 16
|w|² = a² + b² = 4
z+w = (x + iy) + (a + ib) = (x + a) + i(y + b)
|z+w|² = (x + a)² + (y + b)² = x² + 2ax + a² + y² + 2by + b²
= (a² + b²) + (x² + y²) + 2ax + 2by
= |w|² + |z|² + 2ax + 2by
= 4 + 16 + 2ax + 2by
= 20 + 2(ax + by)
This cannot be determined from the information provided.
zw = (x + iy)(a + ib) = ax + i(bx + ay) - by
= (ax - by) + i(bx + ay)
|zw|² = a²x² + b²y² - 2abxy + b²x² + a²y² + 2abxy
= a²x² + b²y² + b²x² + a²y²
= a²(x² + y²) + b²(x² + y²)
= (a² + b²)(x² + y²)
= |w|² × |z|²
= 4×16
= 64
c) z-w = (x + iy) - (a + ib) = (x - a) + i(y - b)
|z-w|² = (x - a)² + (y - b)²
= x² - 2ax + a² + y² - 2by + b²
= (a² + b²) + (x² + y²) - 2ax - 2by
= |w|² + |z|² - 2ax - 2by
= 4 + 16 - 2ax - 2by
= 20 + 2(ax + by)
This cannot be determined from the information provided.
d) z/w = (x + iy)/(a + ib)
Rationalizing by multiplying numerator and denominator by (a - ib)
(z/w)= [(x + iy)(a - ib)/(a + ib)/(a - ib)]
= [ax - by + i(ay - bx)]/(a² + b²)
|z/w|² = [(ax + by)² + (ay - bx)²]/(a² + b²)²
= [a²x² + b²y² + 2abxy + b²x² + a²y² - 2abxy]/(a⁴ + b⁴ + 2a²b²)
= [a²x² + b²y² + b²x² + a²y²]/[(a² + b²)² - 2a²b² + 2a²b²]
= [(a² + b²)(x² + y²)]/[(a² + b²)²]
= [(x² + y²)/(a² + b²)]
= |z|²/|w|²
= (4/2)²
= 4
Hope this Helps!!!
whats 700 divided by 178
Answer:
3.93258426966
Step-by-step explanation:
To 1 d.p = 3.9
Answer:
≈3.9 (3.932584269662921...)
OR
3 R 166
OR
[tex]3\frac{83}{350}[/tex]
Step-by-step explanation:
700÷178=3.932584269662921
700÷178=3 R 166
700÷178=
[tex]3 \frac{166}{700} =\\\\3\frac{83}{350}[/tex]
If you wanted it in decimal form, the decimal would be infinite.
If you wanted it with a remainder, it's 3 R 166
If you wanted it in fractions, it's [tex]3 \frac{83}{350}[/tex]
What is the decimal expansion of 30/6? And is it rational or irrational.
Answer:
5.0 rational
Step-by-step explanation:
30/6 = 5/1 =5.0
it's rational as it is a fraction
Show me da way to the answer. Find the endpoint of the line segment with the given endpoint and midpoint.
Endpoint: (6,−5) Midpoint: (6,2)
Solve it by factorisation method
Answer:
Hope it helped you.
Step-by-step explanation:
It was hard to type on a keyboard so I did it somewhere else...