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3 years ago

HELP FAST PLZ I HAVE LITTLE TIME I DONT WANT TO FAIL.

Mathematics

1 answer:

denis23 [38]3 years ago

5 0

Given:

Given that the diameter of the circle is $\frac{7}{2} \ cm$

We need to determine the radius, circumference in terms of π and circumference using π = 3.14.

Radius:

The radius of the circle can be determined using the formula,

$r=\frac{d}{2}$

Substituting $d=\frac{7}{2}$ , we get;

$r=\frac{(\frac{7}{2})}{2}}$

Simplifying, we get;

$r=\frac{7}{4} \ cm$

Thus, the radius of the circle is $\frac{7}{4} \ cm$

Circumference in terms of π:

The circumference of the circle can be determined using the formula,

$C=2 \pi r$

Substituting $r=\frac{7}{4} \ cm$ , we get;

$C=2 \pi (\frac{7}{4})$

$C=\frac{7}{2} \pi \ cm$

Thus, the circumference in terms of π is $\frac{7}{2} \pi \ cm$

Circumference using π = 3.14:

Substituting π = 3.14 in the circumference of the circle $C=\frac{7}{2} \pi \ cm$ , we get;

$C=\frac{7}{2}(3.14)$

$C=10.99 \ cm$

Thus, the circumference of the circle is 10.99 cm

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What is this expression in factored form? x^2+13x+42

Allushta [10]

Answer and explanation:

$x^{2} + 13x + 42$

(x + 6)(x + 7)

List the multiples of 42

42: 1 2 3 6 7 14 21 42

Then see which of the multiples add up to 13

1 x 42 = 42 --> 1 + 42 $\neq$ 13

2 x 21 = 42 --> 2 + 21 $\neq$ 13

3 x 14 = 42 --> 3 + 14 $\neq$ 13

6 x 7 = 42 --> 6 + 7 = 13

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3 years ago

PLZZZZZZZZZZZZZZZZZZZZZZZ help I will give brainliest for right answer!

lubasha [3.4K]

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2 years ago

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The surface area of a cylinder is increasing at a rate of 9 pi square meters per hour. The height of the cylinder is fixed at 3

Alekssandra [29.7K]

Answer:

$9\pi \text{ cubic meters per hour}$

Step-by-step explanation:

Since, the surface area of a cylinder,

$A= 2\pi r^2 + 2\pi rh$ ................(1)

Where,

r = radius,

h = height,

If $A= 36\pi\text{ square meters}, h = 3\text{ meters}$

$36\pi = 2\pi r^2 + 2\pi r(3)$

$18 = r^2 + 3r$

$\implies r^2 + 3r - 18=0$

$r^2 + 6r - 3r - 18 = 0$ ( by middle term splitting )

$r(r+6)-3(r+6)=0$

$(r-3)(r+6)=0$

By zero product property,

r = 3 or r = - 6 ( not possible )

Thus, radius, r = 3 meters,

Now, differentiating equation (1) with respect to t ( time ),

$\frac{dA}{dt}= 4\pi r\frac{dr}{dt} +2\pi(r\frac{dh}{dt} + h\frac{dr}{dt})$

∵ h = constant, ⇒ dh/dt = 0,

$\frac{dA}{dt} = 4\pi r \frac{dr}{dt} +2\pi h \frac{dr}{dt}$

We have, $\frac{dA}{dt}=9\pi\text{ square meters per hour}, r = h = 3\text{ meters}$

$9\pi = 4\pi (3) \frac{dr}{dt}+2\pi (3)\frac{dr}{dt}$

$9\pi = (12\pi + 6\pi )\frac{dr}{dt}$

$9\pi = 18\pi \frac{dr}{dt}$

$\implies \frac{dr}{dt} =\frac{1}{2}\text{ meter per hour}$

Now,

Volume of a cylinder,

$V=\pi r^2 h$

Differentiating w. r. t. t,

$\frac{dV}{dt}=\pi ( r^2 \frac{dh}{dt}+h(2r)\frac{dr}{dt})=\pi ((3)(6) (\frac{1}{2})) = 9\pi \text{ cubic meters per hour}$

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3 years ago

Identify the response variable and whether the setting involves a single sample, a matched pairs, or two independent samples.

Helga [31]

Answer:

1. single sample design

2. matched pairs

3. two independent samples.

Step-by-step explanation:

the response variable is known as the dependent variable, it is the variable that the researcher is interested i finding. the response variable is the x variable that responds to changes in the independent variable.

In this question the researcher has only one sample that is the specimen. that is the reference specimen that she obtained. Therefore it is a single sample design.

the response variable here is the measurement of concentration.

2. In this question we have two pairs, men and women. The researcher is interested in comparing attitudes as she interviews them. so response variable is attitude or behavior

3. this is a 2 independent sample design. The researcher is using two different methods to test and their average is being compared.

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3 years ago

Which of the following sets of lengths can Sean use to make a right triangle?

Aleks [24]

Answer:

{8 cm, 15 cm, 17 cm}

Step-by-step explanation:

we know that

The length sides of a right triangle must satisfy the Pythagoras Theorem

$c^2=a^2+b^2$