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Fittoniya [83]
3 years ago
11

1. Which of the following measurements could be the three side lengths of a right triangle? a. 4 cm, 5 cm, 9 cm b. 12 cm, 20 cm,

25 cm c. 18 cm, 24 cm, 30 cm d. 2 cm, 3 cm, 5 cm
Mathematics
1 answer:
HACTEHA [7]3 years ago
8 0

Answer:

b and c

Step-by-step explanation:

The Triangle Inequality Theorem lets us know that the sum of the two shortest sides of the triangle must be greater than the third side of the triangle.

In both A and D, the sum of the shortest two sides are equal to, not greater than the third side, so they will not form a triangle.

In B, 12+20 is 32, which is greater than 25. And in C, 18+24 is 42, which is greater than 30, so they both will form a triangle.

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Shawna and her best friend Keisha go shopping. The function p(t) = 3x +2x-4x2+ 21 represents how much money each girl spent base
NNADVOKAT [17]

Answer:

\$30

Step-by-step explanation:

we have

p(t)=3x+2x-4x^{2}+21

<em>Find the amount of money that each girl spent</em>

For t= 2 hours

p(2)=3(2)+2(2)-4(2)^{2}+21

p(2)=10-16+21

p(2)=\$15

<em>Find the amount of money that they spend together</em>

Multiply by 2 the amount of money that each girl spent

(2)\$15=\$30

3 0
3 years ago
What is the decibel level of the sound of a monster truck with intensity 10−2 watts per square inch? Use a logarithmic model to
lorasvet [3.4K]

Answer:

BdB = 68.10 decibels

Step-by-step explanation:

BdB = 10 log10 I / Io

where BdB is the sound intensity level in decibels, I is the sound intensity on the linear scale (W / m²) and I0 is the hearing threshold (10^-12 W / m²).

Converting Io de 10^-12 W/m² to W/in², tenemos

10^-12 W/m² = 1.5500031000062x10^-9 W/in²

So, applying the equation or formula,

BdB = 10 log10 (10 ^ -2 W/in² / 1.5500031000062x10^-9 W/in² )

BdB = 10 log10 (0.64516x10^6)

BdB = 10 log10 (6,451,600)

Being log10 (6,451,600) = 6.8096674332398761189214526331036, then

BdB = 10 x 6.8096674332398761189214526331036

BdB = 68.096674332398761189214526331036

BdB = 68.10 decibels

8 0
2 years ago
Read 2 more answers
By what percent will a fraction increase if its numerator is decreased by 30% and its denominator is decreased by 50%?
Alex Ar [27]
(X + .3X) / (X - 0.5X) = 1.3X/0.5X
1.3/0.5 = 2.6
2.6 x 100 = 260 %
6 0
3 years ago
Given: A, B, and C What is the value of X in the matrix equation AX + B = C?
Ksju [112]

Answer:

Option (2)

Step-by-step explanation:

Given expression is, AX + B = C

A=\begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}

B=\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix}

C=\begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}

AX + B = C

AX = C - B

C - B = \begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}-\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix} = \begin{bmatrix}-42+7 & -20+9\\ 5-4 & 4+1\end{bmatrix}

C - B = \begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}

Let  X=\begin{bmatrix}a & b\\ c & d\end{bmatrix}

AX = \begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}\times \begin{bmatrix}a & b\\ c & d\end{bmatrix}

     = \begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}

Since AX = C - B

\begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}=\begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}

Therefore, a = 1, b = 5

(-3a - 4c) = -35

3(1) + 4c = 35

3 + 4c = 35

4c = 32

c = 8

And (-3b - 4d) = -11

3(5) + 4d = 11

4d = -4

d = -1

Therefore, Option (2). X = \begin{bmatrix}1 & 5\\ 8 & -1\end{bmatrix} will be the answer.

7 0
3 years ago
A paper is in the form of a rectangle ABCD in which AB= 18 cm and BC=14cm.A semicircular portion with BC as diameter is cut off.
svetoff [14.1K]

Answer:

remaining portion is area= area of rectangle- area of semicircle

= 18*14 - 3.14*7^2

=252-154.86

=199.86cm^2

7 0
3 years ago
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