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4 years ago

Thomas's coach tells him to run 600 yards after practice. How many feet should Thomas Run ?

Mathematics

1 answer:

BaLLatris [955]4 years ago

8 0

1 yard is equal to 3 feet, so multiply 600*3. Which =1800 feet

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A plane traveled 1248 miles to Ft. Worth and back. The trip there was with the wind. It took 12

Artemon [7]

speed of the plane in still air is 76 m/s and speed of the wind is 28 m/s .

Step-by-step explanation:

Here we have , A plane traveled 1248 miles to Ft. Worth and back. The trip there was with the wind. It took 12 hours. The trip back was into the wind. The trip back took 24 hours. We need to find What is the speed of the plane in still air? What is the speed of the wind? Let's find out :

For Going trip :

Let speed of plane be u , and wind be v so : Speed = ( Distance ) / ( time )

⇒ $u+v = \frac{1248}{12}$

⇒ $u+v = 104$ ...........(1)

For Returning Trip :

⇒ $u-v = \frac{1248}{24}$

⇒ $u-v = 52$ ...........(2)

Adding both equations we get :

⇒ $(u+v)+(u-v)=104+52$

⇒ $2u=156$

⇒ $u= 76m/s$

Putting this value in equation (1) we get :

⇒ $76+v = 104$

⇒ $v=28m/s$

Therefore , speed of the plane in still air is 76 m/s and speed of the wind is 28 m/s .

6 0

3 years ago

PLZ HELP I NEED AN ANSWER NOW I WILL MARK BRAINLYEST

Vesnalui [34]

Answer:

Δ MNO ≅ ΔXYZ by AAS postulate.

Step-by-step explanation:

Given:

$\angle M=\angle X$ , $\angle N=\angle Y$ , and YO = NZ.

Consider YO = NZ

Add OZ on both sides

YO + OZ = NZ + OZ

YZ = NO

Consider triangles Δ MNO and ΔXYZ.

Statement Reason

1. $\angle M=\angle X$ Given

2. $\angle N=\angle Y$ Given

3. YZ = NO ∵ YO = NZ

Therefore, the two triangles Δ MNO and ΔXYZ are congruent to each other from AAS postulate as two corresponding angles and a corresponding side are equal to each other.

6 0

3 years ago

What’s the value of x???

Lubov Fominskaja [6]

Answer:

Step-by-step explanation:

5 0

4 years ago

PLEASE HELP ME I BEG I REALLY NEED HELP WITH THIS PROBLEM!

lozanna [386]

Area = length x width

x² + 12x = l * x

A.

First, you factor x from x² + 12x

$x^{2} +12x=x(x+12)$

area = x (x+12)

area = (x+12) * x

Length = x + 12

B.

If x = 10,
l = x + 12 = 10 +12 = 22
length = 22
and
Area = x² + 12x = 10² + 12(10) = 100 + 120 = 220
area = 220

Hope this helps :)

6 0

4 years ago

In 1980, the population of a town was 2000 people. The exponential function P(t)=2000(1.05)t models the population of the town s

qaws [65]

Answer:

B. The population has increased by 105% each year since 1980.

D. Each year since 1980, the population is 105% of the population of the previous year.

E. Each year since 1980, the population is 1.05 times the population of the previous year.

Step-by-step explanation:

From the question, we are given the exponential function:

The exponential function P(t)=2000(1.05)^t models the population of the town since 1980.

Exponential growth rate =

P(t) = P(1 + r)^t

Where r = growth rate in percentage

P(t) = Size of the population after t years

t = time in years

Hence,

From the formula above, we can say =

1 + r = 1.05

r = 1.05 - 1

r = 0.05

Converting to percentage = 0.05 × 100 = 5%

1.05 can also converted to percentage and this = 1.05 × 100 = 105 %

The population has increased by 105% each year since 1980.

Hence, Options, B, D and E is correct

3 0

3 years ago