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soldi70 [24.7K]

3 years ago

11

A diagonal support beam is attached to the gate of a fence as shown. Which angles must be congruent in order for the top and bot

tom sides of the gate to be parallel?

1 answer:

statuscvo [17]3 years ago

5 0

Where is it shown? You need to attach a picture or something.

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Suppose f(x)=2x−5. Find the value of f(3)

sleet_krkn [62]

Answer:

it is 1

Step-by-step explanation:

5 0

3 years ago

How does the numbers of zeros in the product of 8 and 5000 compare to the number of zeros in the factors?

o-na [289]

If product means to multiply than
5000*8= 40000
Answer: There is one more zero in the product.

6 0

4 years ago

Water is leaking out of an inverted conical tank at a rate of 6800.0 cubic centimeters per min at the same time that water is be

m_a_m_a [10]

Answer:

6.82 $mt^3/min$

Step-by-step explanation:

By congruence of triangles, the radius r of the cone base when its height is 1 meter satisfies the relation

r/1 = 2.5/6

(See picture attached)

So, r = 0.4166 meters when the water is 1 meter high.

The volume of a cone with radius of the base = R is given by

$V=\frac{\pi R^2h}{3}$

So, the volume of water when it is 1 meter high is

$V=\frac{\pi* 0.(4166)^2}{3}=0.1817\;mt^3$

One minute later, the height of the water is 1 meter + 30 centimeters = 1.30 mt

The radius now satisfies

r/1.3 = 2.5/6

and now the radius of the base is

r = 0.5416 mt

and the new volume of water is $0.3071\;mt^3$

So, the water is raising at a speed of

0.3071-0.1871 = 0.12 $mt^3/min$

This speed equals the difference between the water being pumped and the water leaking,

So,

<em>0.12 = Speed of water being pumped -6.8 </em>

and

Speed of water being pumped = 6.8+0.12 = 6.82 $mt^3/min$

8 0

3 years ago

The function H(t) = −16t2 + 60t + 95 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in t

Dimas [21]

H(t) = -16t² + 60t + 95
g(t) = 20 + 38.7t

h(1) = -16(1²) + 60(1) + 95 = -16 + 60 + 95 = -16 + 155 = 139
h(2) = -16(2²) + 60(2) + 95 = -16(4) + 120 + 95 = -64 + 215 = 151
h(3) = -16(3²) + 60(3) + 95 = -16(9) + 180 + 95 = -144 + 275 = 131
h(4) = -16(4²) + 60(4) + 95 = -16(16) + 240 + 95 = -256 + 335 = 79

g(1) = 20 + 38.7(1) = 20 + 38.7 = 58.7
g(2) = 20 + 38.7(2) = 20 + 77.4 = 97.4
g(3) = 20 + 38.7(3) = 20 + 116.1 = 136.1
g(4) = 20 + 38.7(4) = 20 + 154.8 = 174.8

Between 2 and 3 seconds.
The range of the 1st object is 151 to 131.
The range of the 2nd object is 97.4 to 136.1

h(t) = g(t) ⇒ 131 = 131

It means that the point where the 2 objects are equal is the point where the 1st object is falling down while the 2nd object is still going up.

5 0

3 years ago

Read 2 more answers

Compare the ratio of the longest side being 14 1/2 to shortest side 1 1/4 and turn it into a simplified fraction

marusya05 [52]

(14 1/2)/(1 1/4) change both to improper fractions

(29/2)/(5/4) invert second function (or the denominator fraction) and multiply.

(29/2)*(4/5) multiply...

58/5 change improper fraction back to mixed fraction

11 3/5 or a decimal 11.6

4 0

3 years ago