All categories

3 years ago

Find the measure of the angle indicated (X). Round to the nearest tenth. Show your work to support your answer. C 13 4 0 A B

Mathematics

2 answers:

KonstantinChe [14]3 years ago

8 0

Step-by-step explanation:

solution given.

relationship between perpendicular and base is given by tan angle

tan ø=perpendicular/base

ø=tan-¹(4/13)=17.10272897=17° is your answer

Ymorist [56]3 years ago

7 0

GIVEN:

p = 4, b = 13.

ANSWER:

We know that,

tanΦ = p/b

tanΦ = 4/13

Φ = 1/tan × 4/13

Φ = 17.102728 or 17 rounded.

You might be interested in

In playing a card game, i am dealt 6 cards, how many possibilities are there for my hand?

mihalych1998 [28]

<span>The 6 playing cards may be arranged into 6 factorial (!) combinations, since the order of the cards does not matter, and since for each card we select, there is now one less card to choose from (for example 6 cards to start, then 5 to choose from, then 4, etc.) So the number of combinations is 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720 combinations.</span>

5 0

3 years ago

A researcher at a large company has collected data on both the beginning salary and the current salary of 48 randomly selected e

Nadya [2.5K]

Answer:

a. 0.83

b. 44107.3

c. 2252.7

Step-by-step explanation:

The correlation coefficient is calculated as

byx=rSy/Sx

rSy=byx*Sx

⇒r=byx*Sx/Sy

Sy=standard deviation of y=standard deviation of current salary=15300

Sx=standard deviation of x=standard deviation of beginning salary=5970

byx=2.12

r=2.12*5970/15300

r=12656.4/15300

r=0.83

There is a strong positive correlation between current and beginning salary.

Beginning salary=$22000

y^ =−2532.7 + 2.12x.

Current salary=-2532.7+2.12*beginning salary

Current salary=-2532.7+2.12*22000

Current salary=-2532.7+46640

Current salary=$44107.3

The predicted current salary of Mr. Joseph Keller is $44107.3.

Residual=y-y^=Observed-Predicted

Observed Current Salary of Kathy Jones=40000

Beginning salary of Kathy Jones=19000

y^ =−2532.7 + 2.12x.

Predicted Current salary=-2532.7+2.12*beginning salary

Predicted Current salary=-2532.7+2.12*19000

Predicted Current salary=-2532.7+40280

Predicted Current salary=$37747.3

Residual=Observed Current Salary-Predicted Current salary

Residual=40000-27747.3

Residual=$2252.7

The residual for Ms. Jones is $2252.7.

8 0

3 years ago

The radius of a circle is 4 centimeters.what is the area

tester [92]

A= 50.27 cm^2 :) hopefully this is right

7 0

2 years ago

1)Sheyna drive to the lake and back. It took two hours less time to get there than it did to get back. The average speed on the

ipn [44]

Answer:

8 hours

Step-by-step explanation:

Given:

Sheyna drives to the lake with average speed of 60 mph and

$v_1 = 60\ mph$

Sheyna drives back from the lake with average speed of 36 mph

$v_2 = 36\ mph$

It took 2 hours less time to get there than it did to get back.

Let $t_1$ be the time taken to drive to lake.

Let $t_2$ be the time taken to drive back from lake.

$t_2-t_1 = 2$ hrs ..... (1)

To find:

Total time taken = ?

$t_1+t_2 = ?$

Solution:

Let D be the distance to lake.

Formula for time is given as:

$Time =\dfrac{Distance}{Speed }$

$t_1 = \dfrac{D}{60}\ hrs$

$t_2 = \dfrac{D}{36}\ hrs$

Putting in equation (1):

$\dfrac{D}{36}-\dfrac{D}{60} = 2\\\Rightarrow \dfrac{5D-3D}{180} = 2\\\Rightarrow \dfrac{2D}{180} = 2\\\Rightarrow D = 180\ miles$

So,

$t_1 = \dfrac{180}{60}\ hrs = 3 \ hrs$

$t_2 = \dfrac{180}{36}\ hrs = 5\ hrs$

So, the answer is:

$t_1+t_2 = \bold{8\ hrs}$

8 0

3 years ago

Find the value of 2cosx+1=0;0 less than x less than 360°

ohaa [14]

Answer:

120°; 240°

Step-by-step explanation:

Let's first solve for $cosx$ : $2cosx=-1 \rightarrow cosx=-\frac12$ At this point it's just a matter of drawing a circle, and mark where the angle is(please excuse my paint skills, but free hand drawing would be even worse). Red line, is $-\frac12$ on the cosines, and both the green and blue lines are valid solutions. The green line is a quarter of a circle, plus 30°, or 120°. The blue one is 3/4 of a circle, minus 30 degrees, or 240°.

7 0

3 years ago

Find the measure of the angle indicated (X). Round to the nearest tenth. Show your work to support your answer. C 13 4 0 A B​

Find the measure of the angle indicated (X). Round to the nearest tenth. Show your work to support your answer. C 13 4 0 A B