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enyata [817]
2 years ago
13

An aircraft travels for 30 minutes at an average speed of 37 mph. how far did the airplane travel?

Mathematics
1 answer:
kupik [55]2 years ago
7 0

Answer:

1.23 repeating

Step-by-step explanation:

divide 37 and 30

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Which is in an equation of the line through (0,0) and (-8,-5)?
Lina20 [59]

Step-by-step explanation:

Since the first coordinates are both (0,0) it implies that the line passes through the origin.

The slope of the line is therefore 5/8

The equation:

y-0=5/8(x-0)

y=5/8x

4 0
2 years ago
Annie is opening a savings account which earns 5.2% interest, compounded continuously.
diamong [38]

Answer:

1686.22

Step-by-step explanation:

2300=P(1+(0.052x7))

2300=P1.364

P=2300/1.364

=1686.217...

=1686.22...

=1686 FOR THE NEAREST DOLLAR

7 0
2 years ago
5x+2y=-3;x+5y=4<br>plz answer me​
Alex17521 [72]

Answer:

x = -1 and y = 1

Step-by-step explanation:

5x + 2y = -3 . . . . . . . (i)

x + 5y = 4 . . . . . . . (ii)

  • Finding x in terms of y from eq. (ii) :-

x + 5y = 4

x = 4 - 5y

  • Placing this value of x in eq. (i) :-

5(4 - 5y) + 2y = -3

20 - 25y + 2y = -3

-23y = - 23

<u>y = 1</u>

  • Placing the value of y in eq. (i)

5x + 2(1) = -3

5x + 2 = -3

5x = - 5

<u>x = -1</u>

7 0
3 years ago
Read 2 more answers
If triangle CAT is similar to triangle DOG, which of the following statements is incorrect?
jeyben [28]

Answer:

1. triangle TCA ~ triangle GOD

4. If TC/GD=3/2, then m<T/m<G=3/2.

Step-by-step explanation:

<u><em>The statements of the question are</em></u>

1. triangle TCA ~ triangle GOD

2. AT: OG= AC:OD

3. If TC/GD=3/2, then AC/OD=3/2.

4. If TC/GD=3/2, then m<T/m<G=3/2.

5. If the scale factor of triangle CAT to triangle DOG is 3 to 2, then the scale factor of triangle DOG to triangle CAT is 2 to 3.

6. If AC is twice as long as AT, then OD is twice as long as OG

<u><em>Verify each statement</em></u>

1) triangle TCA ~ triangle GOD

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

triangle CAT ~ triangle DOG -----> is given

so

Reorder

Corresponding sides are named using pairs of letters in the same position on either side of the congruence statement

triangle TCA ~ triangle GDO

therefore

The statement is not correct

2). AT: OG= AC:OD

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

triangle CAT ~ triangle DOG -----> is given

so

Applying proportion

\frac{AT}{OG}=\frac{AC}{OD}=\frac{TC}{GD}

The statement is true

3). If TC/GD=3/2, then AC/OD=3/2.

we have that

\frac{AT}{OG}=\frac{AC}{OD}=\frac{TC}{GD} ---> see part 2)

so

\frac{TC}{GD}=\frac{AC}{OD}

therefore

The statement is true

4). If TC/GD=3/2, then m<T/m<G=3/2

Remember that

In two similar triangles, corresponding angles are congruent

so

m\angle T=m\angle G

m\angle T/m\angle G=1

therefore

The statement is false

5). If the scale factor of triangle CAT to triangle DOG is 3 to 2, then the scale factor of triangle DOG to triangle CAT is 2 to 3

we know that

If the scale factor of triangle CAT to triangle DOG is a/b. then  the scale factor of triangle DOG to triangle CAT is b/a

The scale factor will be the reciprocal

therefore

The statement is true  

6). If AC is twice as long as AT, then OD is twice as long as OG

we know that

\frac{AT}{OG}=\frac{AC}{OD}

Reorder

\frac{AT}{AC}=\frac{OG}{OD}

If AC is twice as long as AT ----> AC=2AT

If OD is twice as long as OG ----> OD=2OG

substitute

\frac{AT}{2AT}=\frac{OG}{2OG}

simplify

\frac{1}{2}=\frac{1}{2} ----> is true

therefore

The statement is true

5 0
2 years ago
Solve the system of equations using the elimination method. 2x − 3y = 50;7x + 8y = −10
lorasvet [3.4K]

Answer: C. (10, -10)

Step-by-step explanation:

Given

1) 2x-3y=50

2) 7x+8y=-10

Multiply both sides of 1) equation by 3.5

1) 3.5(2x-3y)=3.5×50

   7x-10.5y=175

2) 7x+8y=-10

Subtract 2) equation from the 1)

(7x-10.5y)-(7x+8y)=175-(-10)

-18.5y=185

y=-10

x=10

(10, -10)

Hope this helps!! :)

Please let me know if you have any questions

4 0
2 years ago
Read 2 more answers
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