All categories

3 years ago

Please answer these last four questions.

Mathematics

1 answer:

Crank3 years ago

4 0

Answer:

numbwer 8 is 44.04

Step-by-step explanation:

plz put brainliest

You might be interested in

A spherical weather balloon is being inflated. The radius of the balloon is increasing at the rate of 9 cm/s. Express the surfac

Zolol [24]

Since a sphere's surface area is 4πr², we then need to find r as a function of time t, which is 9t (since it increases by 9 every second)+0 (the initial value)=9t. Plugging it in, we get 4π(9t)²=4π*36t²=144πt²

8 0

3 years ago

1) Given: circle k(O), ED= diameter ,m∠OEF=32°, m(arc)EF=(2x+10)° Find: x

qaws [65]

1. The major arc ED has measure 180 degrees since ED is a diameter of the circle. The measure of arc EF is $(2x+10)^\circ$ , so the measure of arc DF is

$m\widehat{DF}=360^\circ-180^\circ-(2x+10)^\circ=(170-2x)^\circ$

The inscribed angle theorem tells us that the central angle subtended by arc DF, $\angle DOF$ , has a measure of twice the measure of the inscribed angle DEF (which is the same angle OEF) so

$m\angle DOF=2m\angle OEF=64^\circ$

so the measure of arc DF is also 64 degrees. So we have

$170-2x=64\implies106=2x\implies\boxed{x=53}$

###

2. Arc FE and angle EOF have the same measure, 56 degrees. By the inscribed angle theorem,

$m\angle EOF=2m\angle EDF\implies56^\circ=2m\angle EDF\implies m\angle EDF=28^\circ$

Triangle DEF is isosceles because FD and ED have the same length, so angles EFD and DEF are congruent. Also, the sum of the interior angles of any triangle is 180 degrees. It follows that

$m\angle EFD+m\angle EDF+m\angle DEF=180^\circ\implies\boxed{m\angle EFD=76^\circ}$

Triangle OFE is also isosceles, so angles EFO and FEO are congruent. So we have

$m\angle EFO+m\angle FEO+m\angle EOF=180^\circ\implies\boxed{m\angle EFO=62^\circ}$

7 0

3 years ago

Simplify the following expression. 3 2/5x3(-7/5)

Studentka2010 [4]

The simplified expression of 32/5 x 3(-7/5) is -672/25

<h3>How to simplify the expression?</h3>

The mathematical expression is given as:

32/5 x 3(-7/5)

Evaluate the product of 3 and -7/5

32/5 x 3(-7/5) = 32/5 x -21/5

Evaluate the product of 32 and -21

32/5 x 3(-7/5) = 672/5 x -1/5

Evaluate the product of 5 and 5

32/5 x 3(-7/5) = 672/25 x -1

So, we have:

32/5 x 3(-7/5) = -672/25

Hence, the simplified expression of 32/5 x 3(-7/5) is -672/25