Ask question

Ask question

All categories

Alekssandra [29.7K]

4 years ago

10

Is 1 1/2 greater than less than or equal to 16 in

1 answer:

BigorU [14]4 years ago

3 0

Answer:

Less than

Step-by-step explanation:

You might be interested in

The relationship between women's whole

vovangra [49]

Using arithmetic sequence concepts, it is found that the common difference is of 0.25.

<h3>What is an arithmetic sequence?</h3>

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

$a_n = a_1 + (n - 1)d$

In which $a_1$ is the first term.

In this problem, we have that:

$a_3 = 8, a_7 = 9$

Hence:

$a_7 = a_3 + (7 - 3)d$

9 = 8 + 4d

4d = 1.

d = 0.25.

The common difference is of 0.25.

More can be learned about arithmetic sequence concepts at brainly.com/question/6561461

4 0

2 years ago

The angle \theta_1θ

enyata [817]

Answer:

$sin\theta_1 = \dfrac{\sqrt{217}}{19}$

Step-by-step explanation:

It is given that:

$cos\theta_1 = -\dfrac{12}{19}$

And we have to find the value of $sin\theta_1 = ?$

As per trigonometric identities, the relation between $sin\theta\ and \ cos\theta$ can represented as:

$sin^2\theta + cos^2\theta = 1$

Putting $\theta_1$ in place of $\theta$ Because we are given

$sin^2\theta_1 + cos^2\theta_1 = 1$

Putting value of cosine:

$cos\theta_1 = -\dfrac{12}{19}$

$sin^2\theta_1 + (\dfrac{12}{19})^2 = 1\\\Rightarrow sin^2\theta_1 + \dfrac{144}{361} = 1\\\Rightarrow sin^2\theta_1 = 1-\dfrac{144}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{361-144}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{217}{361}\\\Rightarrow sin\theta_1 = +\sqrt{\dfrac{217}{361}}, -\sqrt{\dfrac{217}{361}}\\\Rightarrow sin\theta_1 = +\dfrac{\sqrt{217}}{19}, -\dfrac{\sqrt{217}}{19}$

It is given that $\theta_1$ is in 2nd quadrant and value of sine is always positive in 2nd quadrant. So, the answer is.

$\Rightarrow sin\theta_1 = \dfrac{\sqrt{217}}{19}$

8 0

3 years ago

A ball is dropped from a treetop 256 feet above the ground. How long does it take to hit the ground? (s = 16t^2)

Sedbober [7]

S=16 $t^{2}$
256=16 $t^{2}$
16= $t^{2}$
t=4s

4 0

3 years ago

Point C is the midpoint of AB.point A has coordinates (2,4)and point C has coordinates (5,0) what are the coordinates of point B

devlian [24]

Answer:

The coordinates of point B is (8,-4)

Step-by-step explanation:

Midpoint of a line segment: It is the point on the line segment that divides the segment in two congruent segments.

Since it is given that C is the midpoint of Line segment AB.

Mid-point of a segment of end points $A(x_{1},y_{1})$ and $B(x_{2},y_{2})$ is, C= $(\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2})$ .

As, given the coordinates of A and C are (2,4) and (5,0)

then, we have $x_{1}=2$ , $y_{1}=4$ ; $\frac{x_{1}+x_{2}}{2}=5$ and $\frac{y_{1}+y_{2}}{2}=0$

to find the coordinates of $B(x_{2},y_{2})$ .

$\frac{2+x_{2}}{2}=5$

Simplify:

$2+x_{2}=10$

⇒ $x_{2}=8$

to solve for $y_{2}$ we have, $\frac{y_{1}+y_{2}}{2}=0$

or $y_{1}+y_{2}=0$

or $y_{2}= -y_{1}$ = -4

so, the values of $x_{2}=8$ and $y_{2}=-4$

Therefore, the coordinates of point B is (8,-4)

3 0

3 years ago

Explain how you can find the volume of the figure below. Then, solve- what is the volume of the figure? Make sure to include you

mote1985 [20]

Answer: a) The figure can be reasonably divided into two geometries:

• a rectangular prism

• a hemisphere.

b) The volume of the rectangular prism is given by

V = lwh

V = (10 cm)(5 cm)(4 cm) = 200 cm³

The volume of the hemisphere is given by

V = (2π/3)r³

V = (2π/3)(3 cm)³ = 18π cm³

c) The total volume of the figure is

total volume = (prism volume) + (hemisphere volume)

V = 200 cm³ + 18π cm³

V ≈ 256.549 cm³

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers