Ask question

Ask question

All categories

skelet666 [1.2K]

2 years ago

10

PLS ANSWER ASAP Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to

calculate the next value. Round your final answer to the nearest tenth.

1 answer:

irina [24]2 years ago

6 0

The correct answer is c. 16.6

Explain

The triangle left side
Opposite side= hypotheses x sin 0

Plugin

Opposite side = 39 x sin 43

39 x 0.68

26.60

The right side

Opposite side = adjective side x tan0

Opposite side = 26.60 x tan 32

26.60 x 0.62

X= 16.6

Hope this help you :D

You might be interested in

Triangle PQR with vertices P(3, −6), Q(6, −9), and R(−15, 3) is dilated by a scale factor of 3 to obtain triangle P′Q′R′. Which

vovangra [49]

Answer:

Option C.

Step-by-step explanation:

The vertices of triangle PQR are P(3, −6), Q(6, −9), and R(−15, 3).

It is given that triangle PQR dilated by a scale factor of 3 to obtain triangle P′Q′R′.

We know that a figure and its image after dilation are similar. It means triangle PQR and triangle P′Q′R′

If a figure dilated by factor k about the origin then

$(x,y)\rightarrow (kx,ky)$

PQR dilated by a scale factor of 3, so

$(x,y)\rightarrow (3x,3y)$

Using this rule we get

$P(3,-6)\rightarrow P'(3(3),3(-6))=P'(9,-18)$

$Q(6,-9)\rightarrow Q'(3(6),3(-9))=Q'(18,-27)$

$R(-15,3)\rightarrow R'(3(-15),3(3))=R'(-45,9)$

The vertices of image are P'(9,-18), Q'(18,-27) and R'(-45,9).

Therefore, the correct option is C.

6 0

1 year ago

Two cells are viewed and measured under a microscope. The approximate diameter

nikklg [1K]

Answer:

option D. 4.7 x 10-4 m

Step-by-step explanation:

<u><em>The correct question is</em></u>

• cell P: 5.0 x 10-4 meters

• cell Q: 3.0 x 10-5 meters

we have

The diameter of cell P is $5*10^{-4}\ m$

The diameter of cell Q is $3*10^{-5}\ m$

Rewrite the diameter of cell P as

$5*10^{-4}\ m=5*10^{-4}(\frac{10}{10})=50*10^{-5}\ m$

Find the difference

$50*10^{-5}\ m-3*10^{-5}\ m=47*10^{-5}\ m$

Rewrite the difference as

$47*10^{-5}\ m=47*10^{-5}}(\frac{10}{10})=4.7*10^{-4}\ m$

7 0

2 years ago

Find the area of the kite

Thepotemich [5.8K]

Step-by-step answer:

Area of a kite is half of the product of the diagonals.

The length of diagonal in the x-direction is 4+5 = 9

The length of diagonal in the y-direction is 4+4 = 8

Therefore

Area of kite = 8*9/2 = 36 units.

3 0

1 year ago

Read 2 more answers

preliminary sample of 100 labourers was selected from a population of 5000 labourers by simple random sampling. It was found tha

VladimirAG [237]

Answer:

$n=\frac{0.4(1-0.4)}{(\frac{0.05}{1.96})^2}=368.79$

n=369

Step-by-step explanation:

1) Notation and definitions

$X=40$ number of the selected labourers opt for a new incentive scheme.

$n=100$ random sample taken

$\hat p=\frac{40}{100}=0.4$ estimated proportion of the selected labourers opt for a new incentive scheme.

$p$ true population proportion of the selected labourers opt for a new incentive scheme.

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

2) Solution tot he problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.05$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.4(1-0.4)}{(\frac{0.05}{1.96})^2}=368.79$

And rounded up we have that n=369

8 0

1 year ago

The winning long jump at a track meet was 27 ft 10 in. Convert this distance to meters. Round to the nearest hundredth.

Allushta [10]

1 inch = 2.54 cm

27 feet 10 inches = 27 * 12 + 10 = 334 inches.

334 inches = 334 inches * 2.54 cm / inch = 848.36 cm

1 meter = 100 cm

x = 848.36 cm

Cross multiply

848.36 cm * 1 meter = 100 cm * x Divide both sides by 100

848.36 cm* meter/ 100 cm = x

8.48 meter = x

Answer 8.48 meters.

6 0

1 year ago