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3 years ago

10

In a 30-60-90 triangle, the length of the hypotension is 30. Find the length of the shorter leg

1 answer:

dexar [7]3 years ago

4 0

In a 30-60-90 triangle, if the hypotnuse is length 2x then the side oposite the 30 degree angle is x and the other side is x√3

so if hyptohuse is 30 then 30=2x and 15=x

the shortest side is x

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The volume of a cylinder is 84 pie inches cubed what can be concluded about the volume of the con

Rashid [163]

Answer:

that it has a radius of (84/(h×pi))^1/3

5 0

3 years ago

What is the square root of 456?

lorasvet [3.4K]

$\begin{aligned} \sqrt{456}\\ \sqrt{4\cdot 114} \text{ }\\ \sqrt{4} \sqrt{114}\text{ }\\ 2 \sqrt{114}\text{ } \end{aligned}\\\\\begin{aligned} \sqrt{456} \approx 21.354156504062622 \end{aligned}$

3 0

3 years ago

Read 2 more answers

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

Need help,please and thank you

kramer

So a complementary angle is going to equal 90 degrees.

The equation is : x - 10 + 4x - 10 = 90

Then, add together the matching terms : 5x - 20 = 90

Add 20 to both sides : 5x = 110

Then divide both sides by 5 : x = 22

Insert the value 22 into the first equation : (22 - 10) + (4*22 - 10) = 90

Solve : 12 + 78 = 90

Angle UVW = 12 and angle XYZ = 78

8 0

3 years ago

The table shows the toothbrush production rate of One machine. Toothbrush Production Minutes 2 4 6 8 10 Toothbrushes 140 280 | 4

Klio2033 [76]

9514 1404 393

Answer:

c) 70 toothbrushes per minute

Step-by-step explanation:

The table tells you that production is 140 toothbrushes in 2 minutes. Dividing toothbrushes by minutes gives you the "per minute" value:

(140 toothbrushes)/(2 minutes) = (140/2) toothbrushes/minute

= 70 toothbrushes/minute

5 0

3 years ago