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Andru [333]
3 years ago
12

Can someone help me with this??

Mathematics
2 answers:
larisa86 [58]3 years ago
8 0

The angle of depression has the same measure as the acute angle at the lower left of the triangle. This is because the angle of depression and the lower left angle of the triangle are alternate interior angles of parallel lines cut by a transversal.

For the lower left acute angle of the triangle, 32 ft is the opposite leg. 350 ft is the hypotenuse. Since we have the opposite leg and the hypotenuse, we use the sine ratio.

\sin A = \dfrac{opp}{hyp}

\sin A = \dfrac{32}{350}

A = \sin^{-1} \dfrac{32}{350}

A = 5.2^{\circ}

Answer: 5.2 degrees

Hoochie [10]3 years ago
4 0

Firstly , we will find

angle of inclination

Let's that angle as 't'

we are given

hypotenuse= 350

opposite =32

so, we can use sin

and find angle

sin(t)=\frac{32}{350}

t=sin^{-1}(\frac{32}{350})

we will get

t=5.24

so, angle of depression will also be

=5.2............Answer

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For this sequence, 1, 5, 25, 125, 625 ... state if it is arithmetic, geometric, or neither.
zmey [24]

Answer:

Geometric sequence

Step-by-step explanation:

A geometric sequence is when you multiply or divide with a constant number. So in 1, 5, 25, 125, and 625, we're multiplying by 5 every time. I hope this helped :)

6 0
3 years ago
Help ASAP show work please thanksss!!!!
Llana [10]

Answer:

\displaystyle log_\frac{1}{2}(64)=-6

Step-by-step explanation:

<u>Properties of Logarithms</u>

We'll recall below the basic properties of logarithms:

log_b(1) = 0

Logarithm of the base:

log_b(b) = 1

Product rule:

log_b(xy) = log_b(x) + log_b(y)

Division rule:

\displaystyle log_b(\frac{x}{y}) = log_b(x) - log_b(y)

Power rule:

log_b(x^n) = n\cdot log_b(x)

Change of base:

\displaystyle log_b(x) = \frac{ log_a(x)}{log_a(b)}

Simplifying logarithms often requires the application of one or more of the above properties.

Simplify

\displaystyle log_\frac{1}{2}(64)

Factoring 64=2^6.

\displaystyle log_\frac{1}{2}(64)=\displaystyle log_\frac{1}{2}(2^6)

Applying the power rule:

\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}(2)

Since

\displaystyle 2=(1/2)^{-1}

\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}((1/2)^{-1})

Applying the power rule:

\displaystyle log_\frac{1}{2}(64)=-6\cdot log_\frac{1}{2}(\frac{1}{2})

Applying the logarithm of the base:

\mathbf{\displaystyle log_\frac{1}{2}(64)=-6}

5 0
3 years ago
Which measurement contains three significant figures?. a. 0.08cm. b. 0.080cm. c. 800cm. d. 8.08cm
Gennadij [26K]
The measurement that contains three significant figures is 8.08 cm. The correct option among all the options that are given in the question is the fourth option or option "d". The other figures given in the question does not have three significant figures. I hope that this is the answer that you were looking for and it has helped you.
8 0
4 years ago
Read 2 more answers
WHICH OF THE FOLLOWING COMPARISONS IS FALSE A. 4 LITERS &lt; 1 GALLON B. 1 FOOT &lt; 1 METER C. 25 GRAMS &lt; 1 OUNCE D. 10 KILO
Kisachek [45]
Ummm search it up on google it should be on there
4 0
3 years ago
1.) Is f(x)=2x^3 + 2x and odd function
Amiraneli [1.4K]

Answer:

yes, no, no

Step-by-step explanation:

For odd functions : −f(x) = f(−x) for all x

For even functions :f(x) = f(−x) for all x

1) -f(x)= -2x^3 -2x

f(-x) = -2x^3-2x

yes

2 ) f(-x) = 5x^3 -4 ≠ f(x)

no

3  )  f(-x) = -4x -4   ≠ f(x)

no

8 0
3 years ago
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