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vladimir1956
2 days ago
5

If 49x2 + 28x - 10 is rewritten as p2 + 4p -10, what is p in terms of p=

Mathematics
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What number is between 0.40 and 0.47 it has to be a fraction
tester [12383]
There exists an endless array of possibilities, one being 45/100 or 9/20
5 0
2 months ago
Read 2 more answers
1. The cities of Dallas, Charleston, and Indianapolis form a triangle. The distance from Dallas to
PIT_PIT [12445]

Answer: 130 degrees

Step-by-step explanation:

Given that

The distance from

Dallas to Charleston = 980 miles, from Charleston to Indianapolis = 595 miles, and from Indianapolis to Dallas is 764 miles.

Assuming that Dallas and Charleston are situated on the same latitude, we need to determine the bearing from Charleston to Indianapolis.

We will utilize the cosine rule to find the angle at Charleston.

764^2 = 980^2 + 595^2 - 2(980)(595)cosØ

583696 = 1314425 - 1166200cosØ

-1166200cosØ = -730729

CosØ = 0.6266

Ø = 51.2

Next, we calculate the angle at Indianapolis using the sine rule:

980/sinI = 764/sin 51.2

Reciprocate both sides:

SinI/980 = sin 51.2/764

Therefore, Sin I = 980 × sin 51.2/764

Sin I = 0.9996

I = 88.5 degrees

The bearing = 270 - (51.2 + 88.5)

= 270 - 140

= 130 degrees.

4 0
3 months ago
Town Hall is located 4.3 miles directly east of the middle school. The fire station is located 1.7 miles directly north of Town
PIT_PIT [12445]

Answer:

2.1 miles

Step-by-step explanation:

Refer to the attached illustration (you need to include all the mentioned locations and the distances between them),

enabling us to create a right triangle between the school and the hospital with side measures of: 1.7 and 1.2 miles

and the green line represents the direct path from the school to the hospital; thus, applying the Pythagorean theorem will yield the result:

\sqrt{1.7^2+1.2^2}\\=\sqrt{2.89+1.44}\\=\sqrt{4.33} \\ =2.081

When rounded to the nearest tenth:

2.1 miles

4 0
2 months ago
Luca decides to play Wheel of Letters. To play the game, contestants spin a wheel with 26 equal sections, lettered A through Z.
Leona [12618]

Answer:

Wouldn't it be 10 out of 26, which is 2.6?

Step-by-step explanation:

There are 10 letters in "County Fair" and a total of 26 letters available, so you divide 26 by 10.

3 0
3 months ago
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