Ask question

Ask question

All categories

3 years ago

11

Mica and Denise are reading the same novel. Mica has read 1/2 of the novel,Denise has read 1/3 of the novel . How much more of t

he novel has mica read than denis? Needs help with my homework!!

1 answer:

Diano4ka-milaya [45]3 years ago

5 0

The answer would be 1/6 more.

You might be interested in

A container is filled with blueberries. 1/6 of the blueberries are poured equally into two bowls. What fraction of the blueberri

andrew11 [14]

Well as 1/6 is already being taken away as it is being split again multiply the 6 by 2 so 1/12 of the blueberries are in each bowel

7 0

3 years ago

For which value of θ is tan θ equal to sin θ?

UkoKoshka [18]

Answer:

Step-by-step explanation:

$tan \theta=sin \theta\\tan~ \theta-sin~ \theta=0\\\frac{sin ~\theta}{cos~\theta} -sin\theta=0\\multiply ~by~cos~\theta\\sin ~\theta-sin~\theta~cos~\theta=0\\sin \theta(1-cos \theta)=0\\sin~\theta=0=sin k\pi \theta=k \pi ,where~k~is~an~integer.\\or cos\theta=1=cos 2k\pi \\\theta=2k\pi \\where~k~ is~an ~integer.\\combining\\\theta=k\pi \\where~k~is~an~integer.$

4 0

3 years ago

Please help out with this geometry homework I was assigned. And what formula do I use?

lozanna [386]

Answer:

$V_{cone} \approx 1,178.97 \: {in}^{3}$

Step-by-step explanation:

Diameter of cone = 16 in

Radius of cone r = 16/2 = 8 in

Height of cone h = 17.6 in

$V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ V_{cone} = \frac{1}{3} \times 3.14 \times {(8)}^{2} \times 17.6 \\ \\ V_{cone} = \frac{1}{3} \times 3,536.896 \\ \\ V_{cone} = 1,178.96533 \\ \\ V_{cone} \approx 1,178.97 \: {in}^{3} \\$

5 0

3 years ago

The diagram shows how cos θ, sin θ, and tan θ relate to the unit circle. Copy the diagram and show how sec θ, csc θ, and cot θ r

DIA [1.3K]

<span>Copy the diagram and show how sec θ, csc θ, and cot θ relate to the unit circle.

The representation of the diagram is shown if Figure 1. There's a relationship between </span>sec θ, csc θ, and cot θ related the unit circle. Lines green, blue and pink show the relationship.

a.1 First, find in the diagram a segment whose length is sec θ.

The segment whose length is sec θ is shown in Figure 2, this length is the segment $\overline{OF}$ , that is, the line in green.

a.2 <span>Explain why its length is sec θ.

We know these relationships:

(1) $sin \theta=\frac{\overline{BD}}{\overline{OB}}=\frac{\overline{BD}}{r}=\frac{\overline{BD}}{1}=\overline{BD}$

(2) </span> $cos \theta=\frac{\overline{OD}}{\overline{OB}}=\frac{\overline{OD}}{r}=\frac{\overline{OD}}{1}=\overline{OD}$
<span>
(3) </span> $tan \theta=\frac{\overline{FD}}{\overline{OC}}=\frac{\overline{FC}}{r}=\frac{\overline{FC}}{1}=\overline{FC}$
<span>
Triangles </span>ΔOFC and ΔOBD are similar, so it is true that:

$\frac{\overline{FC}}{\overline{OF}}= \frac{\overline{BD}}{\overline{OB}}$ <span>

</span>∴ $\overline{OF}= \frac{\overline{FC}}{\overline{BD}}= \frac{tan \theta}{sin \theta}= \frac{1}{cos \theta} \rightarrow \boxed{sec \theta= \frac{1}{cos \theta}}$ <span>

b.1 </span>Next, find cot θ

The segment whose length is cot θ is shown in Figure 3, this length is the segment $\overline{AR}$ , that is, the line in pink.

b.2 <span>Use the representation of tangent as a clue for what to show for cotangent.
</span>
It's true that:

$\frac{\overline{OS}}{\overline{OC}}= \frac{\overline{SR}}{\overline{FC}}$

But:

$\overline{SR}=\overline{OA}$
$\overline{OS}=\overline{AR}$

Then:

$\overline{AR}= \frac{1}{\overline{FC}}= \frac{1}{tan\theta} \rightarrow \boxed{cot \theta= \frac{1}{tan \theta}}$

b.3 Justify your claim for cot θ.

As shown in Figure 3, θ is an internal angle and ∠A = 90°, therefore ΔOAR is a right angle, so it is true that:

$cot \theta= \frac{\overline{AR}}{\overline{OA}}=\frac{\overline{AR}}{r}=\frac{\overline{AR}}{1} \rightarrow \boxed{cot \theta=\overline{AR}}$

c. find csc θ in your diagram.

The segment whose length is csc θ is shown in Figure 4, this length is the segment $\overline{OR}$ , that is, the line in green.

3 0

4 years ago

If g(x) = -25, then x =

statuscvo [17]

Answer :

-25

!!!!!!!!!!!!!!!!!

5 0

3 years ago