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FromTheMoon [43]
3 years ago
11

What is the solution of the following quadratic inequality? x2 – 4x – 21 ≤ 0

Mathematics
2 answers:
valina [46]3 years ago
5 0

Answer:

This is the answer

Dominik [7]3 years ago
4 0

Answer: B

Step-by-step explanation:

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In the Special Right Triangle below, solve for the value of y. Y = _____ (keep your answer in simplest radical form)
pishuonlain [190]

Answer:

Value of Y = 5√2 units

Step-by-step explanation:

Given:

Perpendicular = X

Base = Y

Hypotenuse = 10

Find:

Value of Y

Computation:

Cos θ = Base / Hypotenuse

Cos 45 = Y / 10

1/√2 = Y / 10

Value of Y = 5√2 units

5 0
3 years ago
Which integer is closest to 0 on the number line?
IrinaVladis [17]

An integer is close to zero if it is "small".

By small, we mean that it is small in absolute value. In fact, for any given distance d, there are two integers that are d units away from zero: d and -d.

So, for example, -6 is close to zero than 8, because -6 is six units away from zero, while 8 is eight units away from zero.

So, the answer is B, -8, because it is 8 units away from zero. The other options A, C and D are, respectively, 12, 10 and 14 units away from zero.

8 0
3 years ago
One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg ha
anastassius [24]
Solutions

To solve this problem we have to use the Pythagorean theorem. You can only use the Pythagorean theorem in Right Triangles. The longest side of the triangle is called the "hypotenuse". C² is the longest side so it is the hypotenuse . To calculate c² we have to do α² + β² = c². 

Given 

One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg has a length of 10x yards.

First leg (24 yards) would be α 

Second leg would be β

Hypotenuse (74 yards) would be c

Now we have points α β c.  

a² (24) + β² ( x ) = c² (74) 

Calculations 

c² = α² + β²

74² = 24²+ β² 

<span>5476 = 576 + </span>β² 

5476 - 576 = β²
<span> </span>
<span>4900 = </span>β² 

→√4900 
<span> </span>
β<span> = 70 yards 
</span>
<span>70 = 10x 
</span>
<span>x = 70</span>÷<span>10 = 7 yards  
</span>
The second leg = 7 yards
3 0
4 years ago
Geno signed up for a text messaging plan. He pays a $5.00 monthly fee and $0.04 per text message.
Marysya12 [62]

Answer:

The correct answer is [C.) 0.04r + 5.00}

Step-by-step explanation:

hope this hlps

7 0
3 years ago
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Is 400 pints greater or lesser than 100 gallons
larisa [96]
The answer is greater than
3 0
3 years ago
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