On a frictionless horizontal table, the rocket-powered hockey puck moves at an angle of 61.9° above the horizontal in 3 seconds.
what are significant figures ?The significance of non-zero digits is constant. Between any two significant digits, there can be no zeros. Only the final or trailing zeros in the decimal section are important. Between any two non-zero digits, all zeros are important. Seven significant digits are seen in, for instance, 108.0097. There is never any significance for any zeros that are both to the right and left of the decimal point and a digit that is not zero.
given
Then, using the formula that relates the tangent of angle, vertical component of velocity, and horizontal component of velocity to find the direction in which the puck is moving.
Displacement is the smallest distance between the two points.
The vector representation of velocity is,
s = 1/2at2
= 1 .80 m
The puck moves at an angle 61.9° above the horizontal.
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how many solutions will this quadratic equation x^2+8x+16 has?
Answer:
one solution
Step-by-step explanation:
to find out how many solutions a quadratic equation (with the equation ax²+bx+c) will have, we need to find the discriminant, which is b²-4ac
first, we can label the coefficients as a, b, and c
a=1 (1 is in front of x²)
b=8
c=16
now substitute into the formula
D=(8)²-4(1*16)
D=64-64
D=0
the discriminant is 0
when the discriminant is 0, that means the quadratic equation only has one solution.
Hope this helps!
Which is the most accurate away to estimate 48% of 21?
A: 1/2 x 22
B: 1/4 x 22
C: 1/2 x 20
D: 1/4 x 20
Find the area of the figure to the nearest tenth.
165 7 in
Answer:
141.1 in
Step-by-step explanation:
r^2*theta
7^2*165pi/180
141.1
Answer:
Step-by-step explanation:
fill in the box below to write an expression that is equivalent to
Answer:
6y
Step-by-step explanation:
Hope this helped!
Which of the following is equivalent to log 2 (c)⋅log c (2)
Answer:
1
Step-by-step explanation:
According to law of indices
log a b = 1/ log b a
hence log c (2) = 1/log 2 (c)
log 2 (c)⋅log c (2)
= log 2 (c)⋅ 1/log 2 (c)
= log 2 (c)/log 2 (c)
= 1
Hence the required answer is 1
If p is true and ~q is false then p -> ~q is ___ false.
Sometimes
Always
Never
PLEASE HELP ME
The conditional of q by p is "If p then q" or "p implies q" and is denoted by p q. It is false when p is true and q is false; otherwise it is true.
What is 2x^3 if x=3?
Answer:
2^3 when x=3
2*3^3
6^3
6*6*6
36*6
=192Step-by-step explanation:
Do you need to simplify 3/12?
Answer: Yes
You still need to simplify 3/12 because it is not in its MOST simplified form.
3/12 can be simplified to 1/4 by dividing 3.
pls help me with this :/. this is due in like 5 mins!!! (i’ll mark brainiest if u don’t leave a link just pls help me!)
Photic zone: seaweeds and corals live here
aphotic zone: mid-ocean level where no light reaches
deep ocean floor: animals that glow are found here
Hope this helped!
Answer:
deep ocean floor - animals that glow are found here
photic zone - seaweeds and coral live here
aphotic zone mid-ocean level where no light reaches
Step-by-step explanation:
I rly hope this helps!! :D
Mrs. Scott opened an account with a deposit of $1,750. The bank pays 5% annual simple interest on this account. Mrs. Scott makes no additional deposits or withdrawals. How much interest will the account have earned at the end of 2 years?
Answer:
At the end of two years Mrs.Scott earned $1929.36 (i rounded the dec.)
Step-by-step explanation:
A= p(1+r)^t
P= 1750
r= .05
t= 2
A= 1750(1+.05)^2
A= 1929.375
1. Write the expression:
(1.75 x 10^)(1.2 x 102)
2. Rearrange the expression: (1.75 X 1.2)(104 x 103)
3. Multiply the coefficients: (2.1)(104 x 103)
4. Apply the product of powers: 2.1 x 104
The rocket ship will travel 2.1 x 109 miles. What is the value of y in the solution?
y = 1
Complete question is;
A rocket ship is travelling at an average speed of 1.75 × 10⁴ miles per hour. How many miles will the rocket ship travel in 1.2 × 10² hours?
1. Write the expression: (1.75 × 10⁴)(1.2 × 10²)
2. Rearrange the expression: (1.75 × 1.2)(10⁴ × 10²)
3. Multiply the coefficients: (2.1)(10⁴ × 10²)
4. Apply the product of powers: 2.1 × 10^(y)
The rocket ship will travel 2.1 × 10^(y) miles. What is the value of y in the solution?
Answer:
Distance travelled by rocket ship = 2.1 × 10^(6) miles
y = 6
Step-by-step explanation:
1. The written expression;
(1.75 × 10⁴)(1.2 × 10²)
2. The rearranged expression is;
(1.75 × 1.2)(10⁴ × 10²)
3. Let's multiply the coefficient which is the first bracket to get;
2.1(10⁴ × 10²)
4. Applying the product of powers means we will add the powers of ten which are 4 and 2.
Thus; 2.1(10^(4 + 2)) = 2.1 × 10^(6) miles
Comparing to 2.1 × 10^(y), we have;
y = 6
6x+
?
= 10x
6x−
?
= 2x
6x+
?
= 2x
6x−
?= 10x
6x+
?
=- 10x
6x−
?
= x
6x+
?
= 0
6x−
?
= 6
6x+
?
= 10
6x−
?
= 4x - 10
Step-by-step explanation:
6x+
?
= 10x
6x−
?
= 2x
6x+
?
= 2x
6x−
?= 10x
6x+
?
=- 10x
6x−
?
= x
6x+
?
= 0
6x−
?
= 6
6x+
?
= 10
6x−
?
= 4x - 10
6x+
?
= 10x
6x−
?
= 2x
6x+
?
= 2x
6x−
?= 10x
6x+
?
=- 10x
6x−
?
= x
6x+
?
= 0
6x−
?
= 6
6x+
?
= 10
6x−
?
= 4x - 10
Sam is fishing in a new catch and release pond that was just stocked with 32 bluegill , 49 catfish, 27 bass, and 12 carp. He catches a fish, releases it, then catches another. What is the probability that he caught a bluegill, then a carp?
Answer: 2/75:)
Step-by-step explanation:
2. A quadrilateral is inscribed in a circle. Find the measure of each missing angle as labeled below. Show your work and/or explain how you got your answer. Don't forget to label your answers CDE=
Answer:
おリム。羅語尾。、、利徒歩と
ラトソオコテユタソヨ保とソトコトThe野母
In the expression 2x + y - 4, the coefficient of y is...
Answer:
1
Step-by-step explanation:
If a term does not have a written coefficient, then the coefficient is one.
This is because 1(y) = y
Answer:
1
Step-by-step explanation:
there is an "understood" 1 as the coefficient of any blank variable
but it is useless to write since anything times 1 is just the same number ..... (i.e: y *1= y...same as 5 * 1= 5)
A 9-foot (ft) ladder and a 4-foot ladder are leaning against a house. The two ladders create angles of the
same measure with the ground. The 4-foot ladder has a height of 3.8 feet against the house.
Help please!!
Answer:
The 9-foot ladder would have a height of 8.55 ft against the house
Step-by-step explanation:
The angles made by the 9-foot ladder and 4-foot ladder that are leaning against the house is 71.8 degrees.
The situation forms a right angle triangle.
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees. The sides and angle can be found using trigonpometric ratios.
Therefore, the 9 foot and the 4 foot ladder forms the same angle.
The 4 foot ladder forms a 3.8 ft height against the wall.
Hence,
sin ∅ = opposite/ hypotenuse
sin ∅ = 3.8 / 4
∅= sin⁻¹ 0.95
∅ = 71.8051276612
∅ = 71.8°
Therefore, the angles made by the 9-foot ladder and 4-foot ladder that are leaning against the house is 71.8 degrees.
learn more on right triangle here: https://brainly.com/question/22894739
B +2.01 =5.5 what dose b equal
Answer:
3.49
Step-by-step explanation:
B = 5.5-2.01 = 3.49
have a great day!
Answer:
b=3.49
Step-by-step explanation:
5.5 - 2.01 = 3.49
2.01 + 3.49 = 3.49
can I have brainllest
Can someone please help me I’ll give brilliant thingy
Answer:
Yes, the shapes are similar. Note, the angles are equivalent and the sides are scales of each other satisfying the requirements for similarly.
Step-by-step explanation:
For a shape to be similar there are two conditions that must be met. (1) Must have equivalent angles (2) Sides must be related by a scalar.
In the two triangles presented, the first condition is met since each triangle has three angles, 90-53-37.
To test if the sides are scalar, each side must be related to a corresponding side of the other triangle with the same scalar.
9/6 = 3/2
12/8 = 3/2
15/10 = 3/2
Alternatively:
6/9 = 2/3
8/12 = 2/3
10/15 = 2/3
Since the relationship of the sides is the scalar 3/2 (Alternatively 2/3), then we can say the triangles meet the second condition.
Given that both conditions are satisfied, then we can say these triangles are similar.
Note, this is a "special case" right triangle commonly referred to as a 3-4-5 right triangle.
Cheers.
HURRY ITS A TIME TEST!!
Which of the following sets of three side lengths determine no triangle?
2 feet, 2 feet, 3 feet
2.5 feet, 3.5 feet, 6.5 feet
4.1 feet, 5.2 feet, 6.3 feet
5 feet, 7.4 feet, 12 feet
Answer:
https://www.cbsd.org/cms/lib010/PA01916442/Centricity/Domain/2623/Similar%20Figures%20Worksheet%202%20answer%20key.pdf
Step-by-step explanation:
A telephone pole casts a 32-foot shadow, while a street sign next to the pole casts a 12-foot shadow. If the
telephone pole is 40 feet tall, what is the height of the street sign?
12
Answer: The height of street sign = 15
Step-by-step explanation:
At the same time, the angle made by the light on each object is the same.
Pole and street sign both standing vertical to the ground.
So triangle made by both of them are similar
The sides of similar triangles are proportional,
[tex]\dfrac{\text{height of street sign}}{\text{height of pole}}=\dfrac{\text{Length of the shadow made by street sign}}{\text{Length of the shadow made by pole}}\\\\\dfrac{\text{height of street sign}}{40}=\dfrac{12}{32}\\\\\text{height of street sign}=\dfrac{12}{32}\times40=15[/tex]
Hence, the height of street sign = 15
What is the y-intercept to (-2,1) (3,-6)
Answer:
(0,-9/5)
Step-by-step explanation:
You can use the equation y=mx+b to solve
First you have to find the slope (m)
You can do this by using the equation y2-y1=x2-x1
(-6-1)/(3--1)= -7/5
m=-7/5
You then use the slope to find out b or the "y-intercept"
I am using the point (-2,1) to substitute
(1)=-7/5(-2)+b
-9/5=b
y=-7/5x-9/5
Check (3,-6):
(-6)=-7/5(3)-9/5
-6=-21/5- 9/5
-6=-6 true
which graph has the equation y=2/3x ?
Answer:
No that is not the graph for that equation The graph for it would be.
Step-by-step explanation:
Answer:
The graph in the picture has the following function: y=3/2x
look attachment for the graph of y=2/3x
five more than the product of 9 and a number u
Answer:
9u + 5
Step-by-step explanation:
five more than the product of 9 and a number u. i.e.,
(9 × u) + 5
9u + 5
-TheUnknownScientist
Answer:
5 more than means + 5
and it is saying product of the no u with 9 so 9u
9u +5
Liz flips a coin 50 times. The coin lands heads up 15 times and tails up 35 times. Complete each
statement.
The theoretical probability of the coin landing heads up is %.
Type an integer or a decimal.
Answer:
Theoretical Probability: 30%
Integer/decimal: 0.30
Step-by-step explanation:
What is the perimeter of woods in feet
Answer:
what are the side lengths/ measurements of the forest?
Step-by-step explanation:
ill edit the answer once i get more info
Please help me I dont really understand
(this is 12 year old math)
Answer:
S represents sasha and B represents brother.
Equation is s = b + 4
11
13
16
24
Step-by-step explanation:
Let s represent Sasha
Let b represent brother
Answer:
When B is 7, S is 3.
When B is 9, S is 5.
When S is 20, B is 24.
When S is 28, B is 32.
PLEASE HELP MEEE !!!!
Given:
The figure of a trapezium.
To find:
The measures of missing angle [tex]m\angle K, m\angle M[/tex].
Solution:
In the given figure [tex]JK\parallel ML[/tex].
If a transversal line intersect the two parallel lines, then the same sides interior angles are supplementary angles.
[tex]m\angle J+m\angle M=180^\circ[/tex] (Supplementary angles)
[tex]87^\circ+m\angle M=180^\circ[/tex]
[tex]m\angle M=180^\circ-87^\circ[/tex]
[tex]m\angle M=93^\circ[/tex]
Similarly,
[tex]m\angle L+m\angle K=180^\circ[/tex] (Supplementary angles)
[tex]51^\circ+m\angle K=180^\circ[/tex]
[tex]m\angle K=180^\circ-51^\circ[/tex]
[tex]m\angle K=129^\circ[/tex]
Therefore, [tex]m\angle M=93^\circ[/tex] and [tex]m\angle K=129^\circ[/tex].
‼️ PLEASE HELPPPP ‼️
Answer:
not sure if im right cause its blurry but the first one is 10 the 2nd one is 15
Step-by-step explanation:
i think its blurry tho
The three angles of a quadrilateral are 55,73,105 what is the fourth angle
Answer:
127°
Step-by-step explanation:
In a quadrilateral, sum of four angles is 360°.
Consider the fourth angle x.
so,
55° + 73° + 105° + x = 360°
x = 360° - 233°
x = 127°
alexander is counting his money from his piggy bank. he stacks four quarters per pile. there are 21 piles of quarters.
how many quarters does he have?
Answer:
He has 84 quaters
Step-by-step explanation:
all you really have to do is multiply 4 times the number of stacks and you get 84