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spayn [35]
3 years ago
15

rosa works north of her home. her husband works east they leave at the sane time. by the time rosa is 7 miles from home, the dis

tance between them is obe more mile than rays distance from home. how far is ray from home
Mathematics
1 answer:
Gennadij [26K]3 years ago
7 0

This problem requires the Pythagorean therom.

The distance between them is 7.

Since the distance between them is one more mile than ray's distance from home ray is 6 miles from home.

So rosa is \sqrt{7^2-6^2}

So rosa is \sqrt{13} miles away from home.

Rosa is about 3.6 miles from home.

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Find the area of the triangle to the nearest tenth . Pleaseeee help
tigry1 [53]

Answer:

15.8 cm²

Step-by-step explanation:

Please see attached photo for diagram.

We'll begin by calculating the angle A. This can be obtained as follow:

B = 56°

C = 78°

A =?

A + B + C = 180 (Sum of the angle in triangle)

A + 56 + 78 = 180

A + 134 = 180

Collect like terms

A = 180 – 134

A = 46°

Next, we shall determine the value of b by using the sine rule. This can be obtained:

Side opposite angle C (c) = 7.2 cm

Angle C = 78°

Angle B = 56°

Side opposite angle B (b) =?

b/Sine B = c/sine C

b/Sine 56 = 7.2/Sine 78

Cross multiply

b × Sine 78 = 7.2 × Sine 56

Divide both side by Sine 78

b = 7.2 × Sine 56 / Sine 78

b = 6.1 cm

Finally, we shall determine the area of the triangle. This can be obtained as follow:

Side opposite angle C (c) = 7.2 cm

Side opposite angle B (b) = 6.1 cm

Angle A = 46°

Area (A) =?

A = ½bcSineA

A = ½ × 6.1 × 7.2 × Sine 46

A = 15.8 cm²

Therefore, the area of the triangle is 15.8 cm²

4 0
3 years ago
find the smaller of 2 consecutive integers,x, if the sum of the smaller and 6 times the larger is -29
AnnyKZ [126]

Answer:-  The smaller integer is -5.


Explanation:-

Let the first consecutive integer be x and the second consecutive integer be x+1.

According to the given question:-

x+6(x+1)= -29

⇒x+6x+6= -29   [distributive law]

⇒x+6x= -29-6    [subtract 6 on the both sides]

⇒7x= -35      [combining like terms ]

⇒x= -5          [dividing 7 on both sides]

Thus the smaller integer =x= -5

larger integer =x+1= -5+1= -4

3 0
3 years ago
Please help, will mark brainliest
Ganezh [65]

Answer:

y = 120x

Step-by-step explanation:

y=mx + b is what we need where m is the slope and b is the y-intercept.

the train travels at about 120km/hour, thus the slope is 120.

y= 120x +b. to find the y intercept plug in any coordinate.

240 = 120(2) +b. you find that the y-intercept is 0.

final equation: y= 120x

3 0
3 years ago
Read 2 more answers
Which value is equivalent to ( 7 • 5 • 2 over 7 • 3) ^2 • ( 5^0 over 2^-3) ^3 • 2^-9
ser-zykov [4K]
100 / 9

They both equal 11.11
(70/21)^2 * 8^3 * (1/2^9)
3 0
3 years ago
Since there are 6.6 laps in a mile, how many laps will you have to make to run 5 miles?
mezya [45]

Answer:

33 laps

Step-by-step explanation:

we know that

There are 6.6 laps in a mile

so

using proportion

Find how many laps will you have to make to run 5 miles

so

Let

x ----> the number of laps

\frac{6.6}{1}\frac{laps}{mile}=\frac{x}{5}\frac{laps}{mile} \\ \\x=6.6*5\\ \\ x=33\ laps

4 0
3 years ago
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