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3 years ago

Find 5 - (-7) 5 - (-7) = 5+ Write as addition,

Mathematics

1 answer:

faust18 [17]3 years ago

5 0

Answer:

negative of a negative number is equal to the positive of that number

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Select the correct answer from the drop-down menu. A vertical pole is supported by two ropes staked to the ground on opposite si

Ainat [17]

Answer:

6.78 m

Step-by-step explanation:

Since the set up forms a triangle with length of ropes two sides of the triangle a = 8 m and b = 7 m respectively, the distance between them which is c = 6 m forms the third side of the triangle.

To find the height of the pole, we need to find the angle between any of the ropes and the ground. So, choosing the 8 m long rope side and using the cosine rule,

b² = a² + c² - 2accosФ where Ф is the angle opposite the 7 m long side which is also the angle between the 8 m long side and the ground.

So, making, Ф subject of the formula, we have

b² - (a² + c²) = 2accosФ

cosФ = [b² - (a² + c²)]/2ac

Ф = cos⁻¹{[b² - (a² + c²)]/2ac}

substituting the values of the variables into the equation, we have

Ф = cos⁻¹{[b² - (a² + c²)]/2ac}

Ф = cos⁻¹{[7² - (8² + 6²)]/2(8)(6)}

Ф = cos⁻¹{[49 - (64 + 36)]/96}

Ф = cos⁻¹{[49 - 100]/96}

Ф = cos⁻¹{-51/96}

Ф = cos⁻¹{-0.53125}

Ф = 122.09°

Since the height of the pole, h is a perpendicular bisector to the base of the triangle, and the 8 m long side form a triangle with it and the ground and the 8 m long side being the hypotenuse side of this triangle, we have that

sinФ = h/a where a = 8 m and Ф = 122.09° = the angle between the 8 m long side and the ground.

h = asinФ

substituting the values of the variables into the equation, we have

h = asinФ

h = (8 m)sin122.09°

h = 8 m × 0.8472

h = 6.78 m

3 0

3 years ago

HELP PLEASE 30 POINTS!!

Naya [18.7K]

Answer:

p - w = $25 OR w + $25 = p

Step-by-step explanation:

pencil = p

pen = w

p - w = $25 OR w + $25 = p

4 0

3 years ago

A pool company needs to make a cover for an in-ground pool. The pool cover is made up of the triangle PQT and the parallelogram

Semmy [17]

Answer: 326

Step-by-step explanation:

6 0

3 years ago

In a certain university admissions department, 70 more males than females submitted applications for admissions. 20% of the fema

Anuta_ua [19.1K]

Answer:

In total, 1130 people applied in the University.

Step-by-step explanation:

Total applicants admitted = 256

Let the number of females who applied in University = k

So, the number of males who applied = ( k + 70)

Now, 20 %of females are admitted ⇒ 20% of (k) is admitted

or, the number of females admitted in university = $\frac{20}{100} \times k = 0.2k$

Also , 25 %of males are admitted ⇒ 25% of (k + 70) is admitted

or, the number of males admitted in university = $\frac{25}{100} \times (k+70) = 0.25(k+70)$

So, according to the question:

0.20k + 0.25(k+70) = Total admissions = 256

or, 0.2k + 0.25k + 17.5 = 256

⇒0.45k = 238.5

or, k = 238.5/0.45 = 530

Hence, total number of females who applied = 530

And Total males who applies = ( k + 70) = 600

Now, TOTAL Applications = MALE applications + FEMALE applications

= 530 + 600 = 1130

Hence, in total 1130 people applied in the University.

4 0

3 years ago

Solve the inequality.<br><br><br> n + 6 < −4

adelina 88 [10]

Answer:

n < -10

Step-by-step explanation:

n + 6 < -4

n+ 6-6 < -4-6

n < -10

hope it's helpful ❤❤❤

THANK YOU.

5 0

3 years ago

Find 5 - (-7) 5 - (-7) = 5+ Write as addition,​

Find 5 - (-7) 5 - (-7) = 5+ Write as addition,