The expression 3.14 x 103 is scientific notation for which of the following values? 314
3,140
31,400
314,000
Answers
Answer:
3140
B is the correct option.
Step-by-step explanation:
The expression in scientific notation is given by
We can simplify as
Therefore, the expression becomes
On multiplying, we get
B is the correct option.
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Josh practices free throws during basketball practice on Monday and Tuesday. On Monday, he attempts 15 free throws and 6 basketballs went in the basket. Over both days, Josh wants at least 80% of his balls to go in the basket. If he makes every free throw on Tuesday, what is the minimum number of free throws required on Tuesday to reach his goal?
Answers
Answer:
the cosine of x is 60
Step-by-step explanation:
Answers
Threfore
5x + 30 = 90 |subtract 30 from both sides
5x = 60 |divide both sides by 5
x = 12
B) 81π
C) 324π
D) 972π
Answers
Answer:
Option D is correct
is the volume, in cubic units, of this sphere
Step-by-step explanation:
Surface area of sphere(S) and volume of sphere (V) is given by:
.....[1]
As per the statement:
Suppose the surface area of a sphere is 324π square units
⇒S = 324π square units
then;
Divide both side by we have;
or
⇒ units
We have to find the volume, in cubic units, of this sphere.
Substitute the given value in [1] we have;
Simplify:
cubic units
Therefore, is the volume, in cubic units, of this sphere
Answers
Answer:
m∠TYW = 93°
Step-by-step explanation:
When naming anangle, the three letters used in the name represent specific points or vertices that define the angle. Each letter has a distinct meaning:
- First Letter (Initial Point): This represents the starting point for one of the rays or line segments that form the angle.
- Second Letter (Vertex): This represents the point where the two rays or line segments that form the angle meet.
- Third Letter (Terminal Point): This represents the terminal point, which is the endpoint for the other ray or line segment that forms the angle.
Therefore, the angle named "VYU" refers to an angle that starts at point V, has a vertex at point Y, and ends at point U. This is shown on the attached diagram in red. Given m∠VYU = 93°:
- m∠VYU = m∠6 = 93°
The angle named "TYW" refers to an angle that starts at point T, has a vertex at point Y, and ends at point W. This is shown on the attached diagram in blue.
- m∠TYW = m∠4
Assuming that lines TU and VW are straight lines, ∠6 and ∠4 are vertically opposite angles.
According to the Vertical Angles Theorem, when two straight lines intersect, the opposite vertical angles are congruent.
Therefore, ∠4 ≅ ∠6, so:
- m∠TYW = m∠VYU
As m∠VYU = 93°, then m∠TYW = 93°.
Answer:
VYW and TYW are opposite interior angles and thus have the same value of 93 deg.
Answers
Answer: 13
Step-by-step explanation:
^ would this be the untrue statement?
∠N ≅ ∠Q
segment NO ≅ segment QR
∠O ≅ ∠R
Answers
Answer: segment MN ≅ segment QP
Step-by-step explanation:
We know that if two triangles are congruent then their corresponding sides and angles are congruent.
Therefore, If triangle MNO is congruent to triangle PQR.
Then, segment MN ≅ segment PQ not segment QP [by CPCTC]
because PQ is the corresponding to side MN.
∠N ≅ ∠Q [by CPCTC]
segment NO ≅ segment QR [by CPCTC]
∠O ≅ ∠R [by CPCTC]
Therefore, the untrue statement will be:
segment MN ≅ segment QP