You move left 4 units and right 3 units. You end at (-2, -1). Where did you start?

A 70-foot wire attached to the top of a building is anchored to the ground 20 feet from the base of the building. Which value is

JulijaS [17]

Answer:

The the angle which the wire make with the ground is 1.280 radian .

Step-by-step explanation:

Given as :

The length of the wire attached to the top of building = OB = 70 foot

The distance of wire anchored from base of ground = OA = 20 feet

Let the angle made by wire en and ground = Ф

Now from , In Triangle AOB

Cos angle = $\dfrac{\textrm Base}{\textrm Hypotenuse}$

Or, Cos Ф = $\dfrac{\textrm OA}{\textrm OB}$

or, Cos Ф = $\dfrac{\textrm 20}{\textrm 70}$

Or, Cos Ф = $\dfrac{\textrm 2}{\textrm 7}$

∴ Ф = $Cos^{-1}(\frac{2}{7})$

I.e Ф = 73.39°

Now in radian ,

∵ 180° = $\pi$ radian

∴ 73.39° = $\frac{\pi }{180}$ × 73.39°

= $\frac{3.14 }{180}$ × 73.39° = 1.280 radian

Hence The the angle which the wire make with the ground is 1.280 radian . Answer

4 0

3 years ago

Read 2 more answers

You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the

Irina-Kira [14]

Answer:

1/52

Step-by-step explanation:

52/4=13 theirs only 4 5s in a deck of cards so 13*4 is 52

5 0

3 years ago

A student multiplies (4+5i) (3-2i) incorrectly and obtains 12-10i what is the students mistakes

Rufina [12.5K]

Answer:

1. In the multiplication of the imaginary parts, the student forgot to square of i. OR

2. The student has only multiplied the real parts and the imaginary parts.

Correct value $=22+7i$ .

Step-by-step explanation:

The given expression is

$(4+5i)(3-2i)$

A student multiplies (4+5i) (3-2i) incorrectly and obtains 12-10i.

Student's mistake can be either 1 or second:

1. In the multiplication of the imaginary parts, the student forgot to square of i.

2. The student has only multiplied the real parts and the imaginary parts.

$(4+5i)(3-2i)=4\times 3+5\times (-2)i=12-10i$

Which is not correct. The correct steps are shown below.

Using distributive property, we get

$4(3-2i)+5i(3-2i)$

$4(3)+4(-2i)+5i(3)+5i(-2i)$

$12-8i+15i-10i^2$

$12+7i-10(-1)$ $[\because i^2=-1]$

$12+7i+10$

$22+7i$

Therefore, the correct value of $(4+5i)(3-2i)$ is $22+7i$ .

4 0

3 years ago

A cone has a slant length of 10 and a diameter of 8. Height is unknown.

patriot [66]

Answer: 153.56

Step-by-step explanation:

Hi, to answer this question we have to apply the next formulas:

Volume of a cone: 1/3 π r² h

Where r is the radius and h is the height (unknown)

Diameter = r x 2

8 = 2r

8/2 =r

r = 4

Before calculating the volume we have to apply the Pythagorean Theorem to find h. (where the slant is the hypotenuse and h and r are the sides of the triangle)

10 ² = h² + 4²

Solving for h

100 = h² + 16

100-16 = h²

84= h²

√84 =h

9.16= h

Back on the volume formula:

V= 1/3 π r² h

V =1/3 π 4² (9.16) =153.56

6 0

3 years ago

ILL GIVE YOU BRAINLIST !!!! What is the slope of this table?

VLD [36.1K]

Answer: Slope is m = 2/3

Step-by-step explanation:

-You have exactly four points on a table:

$(3,2) (6,4) (9,6) (12,8)$

-Use the slope formula and use any two points from those four points in order to find the slope:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

-The two points I use are $(3, 2)$ and $(6,4 )$ for the equation:

$m = \frac{4 - 2}{6-3}$

$m= \frac{2}{3}$

So, the slope of the table is $\frac{2}{3}$ .

8 0

3 years ago