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3 years ago

Elizabeth drove 2 fifths of a mile in 30 seconds. What is Elizabeth’s speed

Mathematics

1 answer:

lora16 [44]3 years ago

4 0

Answer:

0.8 miles in a minute, which would be 40 miles a hour.

Step-by-step explanation:

2/5 = 0.4

0.4 times 2 = 0.8

30 seconds times 2 = 60 seconds or 1 minute

60 times 0.8 = 40

60 times 1 minute = 60 minutes or 1 hour

40 miles in an hour or known as 40 miles a hour.

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Can someone help me with this question "Given the triangle below, what is m (angle) < B, rounded to the nearest tenth?

JulsSmile [24]

The answer
the sum of the angles in a triangle is always 180°
m < B + m < A + m < C = 180°,
let's find m < B,
by applying sinus rule
14/sinB=10/sinC, so sinB= 10xsinB = 14 x sinC and therefore,
sinB=( 14/10 )sinC =7/2 sin 36° =0.82, so arcsinB=55.08°
the answer is C 55.4°

8 0

3 years ago

Find a parametric representation for the part of the cylinder y2 + z2 = 49 that lies between the planes x = 0 and x = 1. x = u y

sweet-ann [11.9K]

Answer:

The equation for z for the parametric representation is $z = 7 \sin (v)$ and the interval for u is $0\le u\le 1$ .

Step-by-step explanation:

You have the full question but due lack of spacing it looks incomplete, thus the full question with spacing is:

Find a parametric representation for the part of the cylinder $y^2+z^2 = 49$ , that lies between the places x = 0 and x = 1.

$x=u\\ y= 7 \cos(v)\\z=? \\ 0\le v\le 2\pi \\ ?\le u\le ?$

Thus the goal of the exercise is to complete the parameterization and find the equation for z and complete the interval for u

Interval for u

Since x goes from 0 to 1, and if x = u, we can write the interval as

$0\le u\le 1$

Equation for z.

Replacing the given equation for the parameterization $y = 7 \cos(v)$ on the given equation for the cylinder give us

$(7 \cos(v))^2 +z^2 = 49 \\ 49 \cos^2 (v)+z^2 = 49$

Solving for z, by moving $49 \cos^2 (v)$ to the other side

$z^2 = 49-49 \cos^2 (v)$

Factoring

$z^2 = 49(1- \cos^2 (v))$

So then we can apply Pythagorean Theorem:

$\sin^2(v)+\cos^2(v) =1$

And solving for sine from the theorem.

$\sin^2(v) = 1-\cos^2(v)$

Thus replacing on the exercise we get

$z^2 = 49\sin^2 (v)$

So we can take the square root of both sides and we get

$z = 7 \sin (v)$

4 0

3 years ago

Which decimal is less than 0.24 and greater than 0.007 is it 0.31 or 0.27 or 0.26 or 0.12

Monica [59]

The answer is 0.12. Hope I helped! please mark as the brainliest!

6 0

3 years ago

Read 2 more answers

Which formula is used to find the explicit equation for geometric sequences?

Diano4ka-milaya [45]

The explicit formula.

7 0

3 years ago

A bank loans a customer $100,000 for a period of 2 years. The simple interest rate of the loan is 5.7%. What is the total amount

puteri [66]

R = monthly loan rate = 5.7 / 1200 = 0.00475 
n - number of payments
p - principal
Total Loan Cost = (r * p * n) / [1-(1+r)^-n]
Total Loan Cost = ( 0.00475 * 100,000 * 24) / [1 -(1.00475)^-24]
Total Loan Cost = 11,400 / 1 -(1.00475^-24)
Total Loan Cost = 11,400 / 1 -.8924988049 
Total Loan Cost = 11,400 / 0.1075011951 
Total Loan Cost = 106,045.33 

Source:
http://www.1728.org/loanfrm4.htm

8 0

3 years ago