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3 years ago

Find m∠7 if m∠8 = 119° m∠7 = ???

Mathematics

1 answer:

natka813 [3]3 years ago

8 0

Answer:

119

Step-by-step explanation:

it will be the same as 8 because they are adjacent..

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Which of the following is equivalent to log50^7 rounded to three decimal places

Vitek1552 [10]

Answer:

11.886

Step-by-step explanation:

Given :

$log 50^7$

Applying formula

$log a^m=m log a$

So,

$7 log 50\\=7(1.698)\\=11.886$

Answer will be 11.886

3 0

3 years ago

The length of a rectangle is 1 foot less than twice the width. If the area is 45 ft2, find the length and width.

STatiana [176]

A) Width = 9/2, length = 10

Rectangle area = length(l)x width(w)

9/2 = 4.5

4.5(l) x 10(w) = 45ft

8 0

2 years ago

A vertical cylinder is leaking water at a rate of 4m3/sec. If the cylinder has a height of 10m and a radius of 2m, at what rate

Lyrx [107]

Answer:

Therefore the rate change of height is $\frac{1}{\pi}$ m/s.

Step-by-step explanation:

Given that a vertical cylinder is leaking water at rate of 4 m³/s.

It means the rate change of volume is 4 m³/s.

$\frac{dV}{dt}=4 \ m^3/s$

The radius of the cylinder remains constant with respect to time, but the height of the water label changes with respect to time.

The height of the cylinder be h(say).

The volume of a cylinder is $V=\pi r^2 h$

$=( \pi \times 2^2\times h)\ m^3$

$\therefore V= 4\pi h$

Differentiating with respect to t.

$\frac{dV}{dt}=4\pi \frac{dh}{dt}$

Putting the value $\frac{dV}{dt}$

$\Rightarrow 4\pi \frac{dh}{dt}=4$

$\Rightarrow \frac{dh}{dt}=\frac{4}{4\pi}$

$\Rightarrow \frac{dh}{dt}=\frac{1}{\pi}$

The rate change of height does not depend on the height.

Therefore the rate change of height is $\frac{1}{\pi}$ m/s.

3 0

3 years ago

Help (20 points, due tmr!! )<br><br> *pic below* :)

sveta [45]

Angles:
2 acute angles and 2 obtuse angles

Sides:
2 pairs pf parallel sides

7 0

3 years ago

0.145 as a fraction or a mixed number.

Vlad1618 [11]

we can convert any decimal to a fraction, by simply <u>using as many zeros at the bottom as there are decimals, and losing the dot atop</u>, now let's do so, notice we have 3 decimals, so we'll use 3 zeros.

$\bf 0.\underline{145}\implies \cfrac{0145}{1\underline{000}}\implies \stackrel{simplified}{\cfrac{29}{200}}$

3 0

3 years ago