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Shalnov [3]
2 years ago
12

Consider the following figure.

Mathematics
1 answer:
Karolina [17]2 years ago
4 0

Answer:

BD = 16

Step-by-step explanation:

By applying mean proportional theorem in the given right triangles,

\frac{AD}{BD}=\frac{BD}{CD}

AD × CD = BD²

8 × 32 = BD²

BD = √256

BD = 16

Therefore, measure of side BD = 16 units.

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Evaluate f(x) = sqrt(5x + 4) for x = 12
Nezavi [6.7K]

Answer is 8

Work Shown:

f(x) = sqrt(5*x + 4)

f(12) = sqrt(5*12 + 4) ... replace every x with 12

f(12) = sqrt(60 + 4)

f(12) = sqrt( 64 )

f(12) = 8

8 0
3 years ago
Find cos q if q is an angle in standard position and the point with coordinates (3, –4) lies on the terminal side of the angle.
gayaneshka [121]

Answer:

cos q = 3/5

Step-by-step explanation:

Standard position means the vertex (point or corner of the angle) is at (0,0) and one side of the angle is glued to the positive x-axis (facts, but not technical math terms) See image. Special triangles have all three sides nice and clean with whole number lengths, we call these Pythagorean triples. 3-4-5 is your most basic Pythagorean triple. So we don't even have to calculate the hypotenuse, see image. Now the triangle shown is easy to work with, using entry-level trig...cos = ADJ/HYP. So we get 3/5=.6 BUUuuuut, the angle q in the original problem is actually the giant angle, marked in yellow (see image) and we're in the fourth quadrant which means there's negative numbers all over the place. So just to be sure the answer is .6 and not -.6 Check your signs. One trick to remember is the ASTC markings in the quadrants. I use All Students Take Calculus, but what it means is in the first quadrant All the trig functions are positive. Only Sine (and fam) are positive in the 2nd quadrant. Tan (and fam) in the 3rd and Cos and fam in the 4th quadrant. It's a good quick check.

cos q = 3/5 OR cos q = .6

8 0
2 years ago
Choose the inverse of y = x2 – 10x.
ella [17]
The answer is (5,-25)
6 0
3 years ago
Read 2 more answers
21) Answer the question using the information given. Special cube-shaped dice are manufactured having side lengths of in. The di
Elenna [48]

Answer: Hello your question is missing some details but I will provide a general solution based on the scope of the problem and you can plugin the missing value

answer = Volume of rectangular prism box / volume of cube

Step-by-step explanation:

To determine the number of Dice that will fit in the rectangular prism box

First : calculate the volume of the cube box ( dice )

volume of a Cube box : V = L^3       where L = side length  

next : calculate the volume of the rectangular prism box

volume of rectangular prism box = L * b * h

L= length , b = width , h = height

final step : Divide the volume of the rectangular prism box by the volume of the cube box ( dice )

= ( L * b * h ) / ( L^3 )

7 0
3 years ago
A rectangle has a length that is 5 inches more than the width Its perimeter is 50 inches. Find the length
Crazy boy [7]

Answer:

Length is 30 width is 20

Step-by-step explanation:

50 divided 2 is 25. Add 5 to 25. Then you have two parts. 30 and 20.

They are your answers.

4 0
3 years ago
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