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makvit [3.9K]
3 years ago
5

Which inequality is NOT true if y= -5​

Mathematics
1 answer:
MatroZZZ [7]3 years ago
3 0

Answer:

2y -10 > 13

Step-by-step explanation:

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Mr. Rifkin had 240 digital and manual cameras. After donating 82 digital cameras and 26 manual cameras, he had three times as ma
puteri [66]
After the donation,
3m + m = 132
manual = 33
digital = 99

Before the donation, he had 82 more digital and 26 more manual cameras.
82 + 99 = 181 digital
26 + 33 = 59 manual
For a double check, before donation,
digital + manual = 240
181 + 59 = 240
So, to begin with, the number of digital cameras = 181.


3 0
4 years ago
Read 2 more answers
How do you solve the literal equation <br><br> W &gt; Y + H for H?<br> P
monitta
Subtract Y from both sides

H < W - Y
5 0
3 years ago
Towers A and B are located 5 miles apart. A ranger spots a fire at a 42-degree angle from tower A. Another fire ranger spots the
lord [1]

Answer: The fire is 3.5 miles from tower B

Step-by-step explanation: Please refer to the attached diagram. The triangle in the attached diagram illustrates the clues given in the question. Both rangers are standing at points A and B respectively with a distance of 5 miles between them, which is line AB. Also, one ranger spots a fire from a tower at an angle of 42 degrees, which is point A. Another ranger spots the same fire from another tower, but from an angle of 64 degrees, which is point B. The fire is at point C on the triangle. Now we have a triangle with only one side known (5 miles) and three angles known (the third angle is computed as 180 - {64+42} which equals 74) which are 64 degrees, 42 degrees and 74 degrees.

The distance from the fire to tower B is calculated using the law of sines. (Note that this is not a right angled triangle, hence we cannot use trigonometric ratios). The law of sines is expressed as follows;

a/SinA = b/SinB or

a/SinA = c/SinC

Depending on the sides and angles we are given and the ones we are to calculate.

The distance from the fire to tower B is line BC, labeled as a in our diagram. Using the law of sines

a/SinA = c/SinC

(Note also that a is directly facing angle A, c is directly facing angle C, and so on)

a/SinA = c/SinC

a/Sin 42 = 5/Sin 74

By cross multiplication we now have

a (Sin 74) = 5 (Sin 42)

Divide both sides of the equation by Sin 74 and we now arrive at

a = 5 (Sin 42)/Sin 74

a = 5 (0.6691)/0.9613

a = 3.3455/0.9613

a = 3.4802

{rounded to the nearest tenth of a mile, a equals 3.5}

Therefore the distance from tower B to the fire is approximately 3.5 miles

3 0
3 years ago
Triangle A B C is shown. The length of B C is 6 and the length of A B is 2 StartRoot 2 EndRoot. Angle A B C is 80 degrees. Trigo
lawyer [7]

Answer:

8.4 square units

Step-by-step explanation:

See attachment for the figure.

Trigonometric area formula is Area =\frac{1}{2}\times absin(C)

Where a and b are two sides of the triangle and C is the angle between these two sides.

Given:

side a = 6 units, c = 2√2 units and ∠B = 80°

Then area of the triangle :

Area = \frac{1}{2}\times acsin(B)

       = \frac{1}{2}\times acsin(B)

       = \frac{1}{2}\times 6\times 2\sqrt{2}\times sin(80)

       = 6√2×sin80°

       = 6×(1.414)×0.9848

       = 8.36 square units

       ≈ 8.4 square units

6 0
3 years ago
Y = mx + b is a slope intercept form of a line. Rewrite the formula in terms of x.
Blizzard [7]

Answer:

(y-b)/m = x

Step-by-step explanation:

We need to <em>isolate</em> X!

y = mx + b

minus b

y-b=mx

divide by m

(y-b)/m = x

Hope this helps!

4 0
3 years ago
Read 2 more answers
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