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3 years ago

5

Type the correct answer in each box. Round your answers to the nearest tenth.

1 answer:

Alexxandr [17]3 years ago

6 0

To find the length of the ladder, you need to do Pythagorean theorem.
50^2 + 30^2 = x^2
2500 + 900 = x^2
x^2 =3400
x= square root of 3400
58.31 OR 10 root34

To find the angle:
tan theta = opposite/adjacent
50/30 = 5/3
theta = tan inverse of 5/3
= 59.04

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3.3^(2x+1)-103^x+1=0 need value of x

photoshop1234 [79]

Answer:

The value of $x$ is approximately -1.531.

Step-by-step explanation:

Let $3.3^{2\cdot x + 1}-103^{x+1} = 0$ , we proceed to solve this expression by algebraic means:

1) $3.3^{2\cdot x + 1}-103^{x+1} = 0$ Given

2) $3.3^{2\cdot x}\cdot 3.3 -103^{x}\cdot 103 = 0$ $a^{b}\cdot a^{c} = a^{b+c}$

3) $(3.3^{x})^{2}\cdot 3.3 -\left[\left( \sqrt{103} \right)^{2}\right]^{x}\cdot 103 = 0$ $(a^{b})^{c} = a^{b\cdot c}$

4) $(3.3^{x})^{2}\cdot 3.3 - \left[\left(\sqrt{103}\right)^{x}\right]^{2}\cdot 103 = 0$ $(a^{b})^{c} = a^{b\cdot c}$ /Commutative property

5) $\left[\left(\frac{3.3}{\sqrt{103}}\right)^{x}\right] ^{2}-\frac{103}{3.3} = 0$ Existence of multiplicative inverse/Definition of division/Modulative property/ $a^{b}\cdot a^{c} = a^{b+c}$

6) $\left(\frac{3.3}{\sqrt{103}} \right)^{2\cdot x}=\frac{103}{3.3}$ Existence of additive inverse/Modulative property/ $(a^{b})^{c} = a^{b\cdot c}$

7) $\log \left(\frac{3.3}{\sqrt{103}} \right)^{2\cdot x}=\log \frac{103}{3.3}$ Definition of logarithm.

8) $2\cdot x\cdot \log \left(\frac{3.3}{\sqrt{103}} \right)= \log \frac{103}{3.3}$ $\log_{b} a^{c} = c\cdot \log_{b} a$

9) $2\cdot x \cdot [\log 3.3-\log \sqrt{103}] = \log 103 - \log 3.3$ $\log_{b} \frac{a}{d}$

10) $x\cdot (2\cdot \log 3.3-\log 103) = \log 103 - \log 3.3$ $\log_{b} a^{c} = c\cdot \log_{b} a$ /Associative property

11) $x = \frac{\log 103-\log 3.3}{2\cdot \log 3.3-\log 103}$ Existence of multiplicative inverse/Definition of division/Modulative property

12) $x \approx -1.531$ Result

The value of $x$ is approximately -1.531.

4 0

2 years ago

Can someone help me with this question? <br> (2,5) and (10,3) What is the slope and the y-intercept

Paha777 [63]

Answer:

slope is -1/4

y intercept is 11/2

Step-by-step explanation:

the slope is (3-5)/(10-2) = -2/8 = -1/4 (using the slope formula)

the y intercept we can set up an equation, y= mx + b

we already know m, which is -1/4 (the slope), and to find b, we could just plug in one of the points to get

5 = (-1/4)*2+b

solve the equation

b = 11/2

4 0

2 years ago

23. Find the value of x.<br> (5x + 4)' X (8x - 71)

r-ruslan [8.4K]

Answer:

x = 71/8

Step-by-step explanation:

Solve for x:

5 X (8 x - 71) = 0

Divide both sides by 5 X:

8 x - 71 = 0

Add 71 to both sides:

8 x = 71

Divide both sides by 8:

Answer: x = 71/8

8 0

3 years ago

(I-Ready lesson)<br><br> What is the volume of the prism? Please help asap!

lukranit [14]

Answer:

36 cubic inches.

Step-by-step explanation:

6x2x3.

3 0

3 years ago

Read 2 more answers

Cos(65)= square root 1+cos(130)/2

Anarel [89]

Answer:

Step-by-step explanation:

Cos(65°) = √(1 + cos(130°)) / 2

0.42=√(1 - 0.64)/2

0.42=√(0.36)/2

0.42²=√0.18²

6 0

2 years ago