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WITCHER [35]
3 years ago
10

Select the correct answer.

Mathematics
2 answers:
klasskru [66]3 years ago
6 0

Option C is the correct answer

zzz [600]3 years ago
6 0
C is the correct answer
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An escalator lifts people to the second floor of a building, 26 ft above the first floor. The escalator rises at a 30° angle. To
Luden [163]

The distance traveled to the top of the escalator to the bottom is 52 ft

Here, we want to calculate the distance a person on the escalator travel from the bottom to the top of the escalator

Firstly, we need a diagrammatic representation to understand this

We can form a right-angled triangle with the information given in the question.

The diagram is shown as below;

From the question, by simply calculating the hypotenuse of the right-angled triangle, we can get the distance traveled from the bottom of the escalator to the top

Let us call this distance d

We can now use the appropriate trigonometric ratio

The trigonometric ratio to use here is the sine since we have the opposite and we want to calculate the hypotenuse

Mathematically;

\begin{gathered} \sin \text{ 30 = }\frac{26}{d} \\  \\ d\text{ = }\frac{26}{\sin \text{ 30}} \\  \\ d\text{ = }\frac{26}{0.5} \\  \\ d\text{ = 52 ft} \end{gathered}

7 0
1 year ago
Which exponential function goes through the points (1, 16) and (4, 128)?
djyliett [7]

Answer:

Here is the complete question (attachment).

The function which represent the given points are f(x)=8(2)^{x}

Step-by-step explanation:

We know that a general exponential function is like,y=a(b)^{x}

We can find the answer by hit and trial method by plugging the values of (x,y) coordinates.

Here we are going to solve this with the above general formula.

So as the points are (1,16) then for x=1,\ y=16

Can be arranged in terms of the general equation.

ab^1=16...equation(1) and ab^4=128...equation(2)

a\times b=16, then\ a=\frac{16}{a}

Plugging the values in equation 2.

We have

\frac{16}{b} b^4=128,16\times b^3=128,b=\sqrt[3]{\frac{128}{16}} =\sqrt[3]{8}=2

Plugging b=2 in equation 1.

We have a=\frac{16}{b} =\frac{16}{2} =8

Comparing with the general equation of exponential a=8 and b=2

So the function which depicts the above points =y=8(2)^x

From theoption we have B as the correct answer.

7 0
4 years ago
What are the roots of 7x2 + 392 = 0?
kirill115 [55]
X=<span><span>2i</span><span>√14</span></span>,<span><span><span>−2</span>i</span><span>√<span>14 is the answer I think</span></span></span>
6 0
4 years ago
Read 2 more answers
Helpppppo please guyssss
RideAnS [48]
<h3><em>Answer:</em></h3><h3><em>B. 0.43</em></h3><h3><em>Step-by-step explanation:</em></h3><h3><em>1. Look at the chart</em></h3><h3><em>2. Then look at the answer I gave u</em></h3><h3><em>3. Use my answer for ur personal use</em></h3><h3><em>4. Thank me</em></h3><h3><em>5. Hope I helped, sorry if not tho</em></h3>
8 0
3 years ago
Which integer is closest to 0 on the number line?
marishachu [46]
1 is the closest to 0 on the number line. Hope this helps!!!!!!!!
7 0
3 years ago
Read 2 more answers
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