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3 years ago

If these two shapes are similar, what is the measure of the missing length x?

Mathematics

1 answer:

Rus_ich [418]3 years ago

6 0

Answer:

$x=22\ yd$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

$\frac{x}{14}=\frac{77}{49}$

solve for x

$x=\frac{77}{49}(14)$

$x=22\ yd$

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An observer stands 25 feet from the base of a flagpole and watches a flag being lowered at a rate of 5 ft/sec. Determine the rat

Sedaia [141]

Answer:

0.1 rad/s

Step-by-step explanation:

Since the distance from or to the flagpole is not given, I will assume. And my assumption is 50 ft

Now, the elevation angle A = 45 degrees, converting to radians, we have π/4 radians

Remember that the tan of an angle is OPP/HYP, and so

tan A = h/25, on differentiating, we have

d tan A/dA = sec^2 A = (1/25) dh/dA

Next, we have

25 sec^2 A * dA/dt= dh/dt = 5

Making dA/dt the subject of formula, we have

dA/dt = (1/5) cos^2 A

but cos^2 A from trigonometry = 1/2, this means that

dA/dt = .1 radians/second

If you want to convert to degrees, your have

.1 Rad/s( 180 deg/rad) = 18 degrees/second

3 0

2 years ago

If m< DBG=58 and mDG =74 , find mGE

mestny [16]

Answer:

Option D: mGE = 190°

Step-by-step explanation:

From the property of angles of secant and tangent lines, we have:

DBG = (mGE - mDG)/2

(That is, the angle in point B is half the difference of the larger arc by the smaller arc defined by the lines)

So, we have that:

58 = (mGE - 74)/2

2*58 = mGE - 74

mGE = 116 + 74 = 190°

So we have that mGE is equal to 190°, correct option: D.

5 0

2 years ago

How much coffee will each person get if 3 people share 1/2 a pound of coffee?

Usimov [2.4K]

Answer:6 pounds you need to divide 3 by .5 and you will get 5

Step-by-step explanation:

5 0

2 years ago

Which table contains the vertex of the graph represented by y=x^2-6x+4?

Vaselesa [24]

vertex = (3,- 5 )

given a quadratic in standard form : y = ax² + bx + c ( a ≠ 0 ), then

the x-coordinate of the vertex is

$x_{vertex}$ = - $\frac{b}{2a}$

y = x² - 6x + 4 is in standard form

with a = 1, b = - 6 and c = 4, hence

$x_{vertex}$ = - $\frac{-6}{2}$ = 3

substitute this value into the equation for y- coordinate

y = 3² - 6(3) + 4 = 9 - 18 + 4 = - 5

vertex = (3, - 5 ) → second table

7 0

3 years ago

Find the length width and height of both then find the whole volume plz help me stuck

Phantasy [73]

3 by 2 by 4
volume =24 (units)

4 by 5 by 5
volume= 100(units)

4 0

2 years ago