MATHEMATICS HIGH SCHOOL

A student skipped a step when she tried to convert 18 hours into seconds, and she got the following incorrect result:18 hours (60 seconds/ 1 minute) = 1080 seconds

What conversion ratio did she skip in this multiple-step conversion?

A. 60 seconds/ 1 minute

B. 1 minute/ 60 seconds

C. 1 hour/ 60 minutes

D. 60 minutes/ 1 hour

Answers

Answer 1

Answer:

Answer:

The conversion ratio that student skipped was:

D. (60 minutes/1 hour)

Step-by-step explanation:

We have to convert 18 hours into seconds

We know that there are 60 seconds in a minute and 60 minutes in an hour.

So, 1 hour= 60×60 seconds

18 hour= 18×60×60 seconds

In the question student converted 1 minute into 60 seconds but forgot to convert 1 hour into 60 minutes

Hence, the conversion ratio that student skipped was:

D. (60 minutes/1 hour)

Answer 2

Answer:

Answer: 60 minutes/1 hour

Step-by-step explanation: took the quiz

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If f(x)=x+3 g(x)=2x+6 find (f+g)(x)
A circle has a radius of 6 in. The inscribed equilateral triangle will have an area of:

How does -1/3 relate to –3?A.
additive inverse
B.
distributive inverse
C.
multiplicative inverse
D.
opposite inverse

Answers

multiplicative invers is answer

2 numbers, x and y, are multiplicative inverse of each other if x times y=1 so

-1/3 times -3=-3/-3=1

answer is C

Which solid figure has one polygon base?

pyramid
cone
cylinder
prism

Answers

Answer:

pyramid

hope this helped! :)

Answer:

Your answer is a pyramid.

Step-by-step explanation:

While a cone also only has one base, it's base is a circle, which is not considered a polygon. The other two choices have two bases.

Jules kicks a soccer ball off the ground and into the air with an initial velocity of 25 feet per second. Assume the starting height of the ball is 0 feet. Approximately what maximum height does the soccer ball reach?0.8 ft

1.6 ft

9.8 ft

19.6 ft

Approximately, how long does it take until the soccer ball hits the ground again?

0.6 sec

0.8 sec

1.6 secs

2.8 secs

Answers

Answer:

Maximum height=9.8 ft and Time taken by soccer ball will be 0.8 secs

Step-by-step explanation:

Since, the ball kicked will take the motion of projectile, therefore using the equation: h(t)= $at^(2) +vt+d$ , where h(t) is the height of the soccer ball, a is the acceleration whose value is -16 ft/sec^2 and v= 35 feet and d is the starting height which is equal to zero.

Therefore, h(t)= $at^(2) +vt+d$ (1)

Differentiating this equation with respect to t,

$h^(')(t)$ = $2at+v$

$0$ = $2(-16)t+25$

$32t$ = $25$

$t= 0.781sec$

Substituting the value of t in equation (1),

$h(t)=-16(0.781)^(2) +25(0.781)$

= $(-16)(0.609)+19.525$

= $9.766$

≈9.8ft

Hence, option C is correct.

Now, In order to determine the time taken until the soccer ball hits the ground, we take the equation:

$h(t)= at^(2) +vt+d$

Since, when the ball hits the ground, the height will become equal to zero, therefore we have, h(t)=0

Now, $h(t)= at^(2) +vt+d$

$0= -32.174t^(2) +25t$

$0=t(-32.174t+25)$

Then, one solution is t=0 and the other is: $0=-32.174t+25$

$32t=25$

$t=(25)/(32.174)$

$t=0.777 sec$

$t$ ≈ $0.8 sec$

Hence, option B is correct.

Answer:

9.8 ft for the maximum height

1.6 sec for the time it’ll take for the ball to hit the ground again

I just took a test and it shows me what I got wrong alongside the correct answers. And this was a question it asked.

Provide the reasons for the fol owing proof Given: JK ≅ KL, NK ≅ KM
Prove ΔNKJ ≅ ΔMLK

Statements Reasons

1. JK≅KL,NK≅KM 1. Given

2.
3. ΔNKJ ≅ ΔMLK 3.________

ANSWER CHOICES

a. reflexive property of ≅ ; SAS
b. reflexive property of ≅ ; ASA
c. vertical angles are congruent; ASA
d. vertical angles are congruent; SAS

Answers

Answer:

Option d is correct.

Vertical angles are congruent;

SAS

Step-by-step explanation:

Given: $JK \cong KL$ , $NK \cong KM$

In ΔNKJ and ΔMLK

$JK \cong KL$ and [Side] {Given}

$NK \cong KM$

Vertical angles states that the two lines intersect to make an X, angles on opposite sides of the X are called vertical angles.

i.e $\angle NKJ$ and $\angle MKL$ are vertical angles.

Also, vertical angles are congruent.

$\angle NKJ \cong \angle MKL$ [Angle] [Vertical angles are congruent]

SAS(Side-Angle-Side) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

then, by SAS postulates;

$\triangle NKJ \cong \triangle MLK$ Hence proved!

Therefore:

Statement Reason

1. $JK \cong KL$ , $NK \cong KM$ Given

2. $\angle NKJ \cong \angle MKL$ Vertical angles are congruent

3. $\triangle NKJ \cong \triangle MLK$ SAS

Answer would be D, as the triangles are congruent due to being verticle angles (literally, you can just see theyre the same). Its SAS because you have 2 exact same sides, plus an exact same angle

What is the quotient of a number and 5?

Also:
What is the quotient of 8 and x?

Answers

A number divide by 5. x/5

8 divide by x. 8/x

the quotient of 5÷5 is 1

What is the answer to this?

Answers

I got / 33/4. If I’m wrong sorry

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The quadrilaterals JkLM and PQRS are similar.find the length x of QR.

The Braves played a 9 inning baseball game. For every inning they scored 4 runs, and for every 2 runs they scored, they had 5 hits. How many hits did they have during the game?

Mona solved an equation incorrectly, as shown below:Step 1: 5x = 30 Step 2: x = 30 − 5 Step 3: x = 25 Which statement best explains why Step 2 is incorrect in Mona's solution? She did not add 5 to 30. She did not divide 30 by 5. She did not multiply 30 by 5. She did not multiply 30 five times.

Solve for y: 3/4(5x-y)<3