Mathematics College

Draw a right triangle that has an 18-cm hypotenuse and a 70-degree angle. To within 0.1 cm, measure the leg adjacent to the 70-degree angle, and express your answer as a percentage of the hypotenuse. Compare your answer with the value obtained from your calculator when you enter COS 70 in degree mode. This is an example of the

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Answer 1

Answer:

[tex]\frac{6.3cm}{18cm}=0.35[/tex]

or 35%

cos(70°)=0.34

The difference in the result is because of the precision of the measurements.

Step-by-step explanation:

First, we can start by drawing a horizontal line in our sheet of paper and pick one point on the line. (Picture 1)

Next we take our protractor and measure 70°. (Picture 2)

Then we draw a line that measures 18cm with our ruler from the point we selected on the horizontal line to the point we measured with the protractor. (Picture 3)

Next we take our square and measure a 90° angle from the end of the line we drew on the previous step to the horizontal line and connect the horizontal line to the ending point of the hypotenuse. (Picture 4)

And that will be our triangle. Next we can measure the adjascent side to the 70° angle (Picture 6) which turned out to be 6.3cm which can now be used to calculate the ratio as a percentage. (Picture 5)

[tex]ratio=\frac{adjascent}{hypotenuse}=\frac{6.3cm}{18cm}=0.35[/tex]

which is the same as a 35%.

If we calculated the cos(70°) with our calculator we would get:

cos(70°)=0.34

As you may see our measurements were pretty precise, the difference in answers will depend on the precision of our measurements.

Draw A Right Triangle That Has An 18-cm Hypotenuse And A 70-degree Angle. To Within 0.1 Cm, Measure The

Related Questions

answer the question math

Answers

Answer:

[tex]7y-10[/tex]

Step-by-step explanation:

[tex]9y-\frac{1}{2}\left(4y+20\right)[/tex]

To simplify this expression, first use the distributive property to distribute [tex]\frac{1}{2}[/tex].

[tex]9y-\frac{1}{2}(4y)+-\frac{1}{2}(20)[/tex]

Simplify.

[tex]9y+-2y+-10[/tex]

Combine like terms, [tex]9y[/tex] and [tex]-2y[/tex].

[tex]7y-10[/tex]

The simplification of [tex]9y-\frac{1}{2}(4y+20)[/tex] is [tex]7y-10[/tex].

I hope this helps ^^

Good luck

Select the two binomials that are factors of this trinomial.
x2 + 8x + 12
A. X+6
B. X-2
C. X + 8
D. X+2

Answers

[tex]\huge{ \mathfrak{ \underline{question : }}}[/tex]

Select the two binomials that are factors of this trinomial.

[tex]x_2 + 8x + 12[/tex]

[tex]\huge{ \mathfrak{ \underline{Answer : }}}[/tex]

[tex] {x}^{2} + 8x + 12[/tex]

[tex] {x }^{2} + 6x + 2x + 12[/tex]

[tex]x (x + 6) + 2(x + 6)[/tex]

[tex](x + 2)(x + 6)[/tex]

We got the factors as :

[tex]A. \: (x + 6)[/tex]

and

[tex]D. \: (x + 2)[/tex]

[tex] \#TeeNForeveR[/tex]

Answer:

A&D

Step-by-step explanation:

Find the area of the composite shape. Use 3.14 for π and round to the nearest hundredth.
___ square inches

Answers

Answer:

49.12 in²

Step-by-step explanation:

The composite figure here is a semicircle and a triangle :

Area of triangle = 1/2 * base * height

Base of triangle = 8 inches ; height = 6 inches

Area of triangle = 1/2 * 8 * 6 = 48/2 = 24 in²

Area of semicircle = 1/2 * πr²

Radius = 4 in

Area of semicircle = 1/2 * 3.14 * 4² = 25.12 in²

Area of composite figure :

Area of triangle + Area of semicircle

(24 in² + 25.12 in²)

= 49.12 in²

How do I multiply 73.458 × 0.39

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Answer: 73.458 x 0.39 = 28.64862

I need help quick 5 mins leftyttt

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Answer:

I don't know sorry :((((((((((((((((

Step-by-step explanation:

I need help with this!! What is the answer???!

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Answer:

Step-by-step explanation:

Sum of interior angles of a pentagon = 540°

Therefore,

2x° +2x° + 3x° + 3x° + 10 = 540°

10x° + 10° = 540°

10x° = 540° - 10°

10x° = 530°

10x = 530

x = 530/10

x = 53

the volume of this prism is 378cm^3.
What is the length of x?

Answers

Answer:

The answer is 14

Step-by-step explanation:

All you have to do is Divide 378 by 27 to get x

Hope This Helps!

An object is thrown down with an initial velocity of 8 ft/sec. When will the object have fallen 120 feet?

Answers

Step-by-step explanation:

[tex]time = \frac{(final \: - \: initial \: displacement)}{(final - initial \: velocity)} \\ time = \frac{0 - 120}{0 - 8} \\ time = 15 \: seconds[/tex]

which fraction is equivalent to 0.63? A. 7/11 B. 19/30 C. 63/100 D. 63/1000

Answers

Answer:

C. 63/100

hope this helps

have a good day :)

Step-by-step explanation:

Slove it step by step

Answers

Answer:

17is the truth

Step-by-step explanation:

Which are exterior angles?

Answers

Answer:

4 and 6

Step-by-step explanation:

they are made with lines of the other angles

Answer:

I think the exterior angles are angle 4, angle 6, and angle 2.

Step-by-step explanation:

They are on the outside.

what is the volume of the aquarium?

Answers

Answer:

3000 in3 ? I haven't actually done this i-ready before- but I believe it's

Width x Length x Height = Final result?

Step-by-step explanation:

NO LINKS!!!

Part 2. Decide if each pair of triangles below is similar. If the triangles are similar, justify your conclusion by stating the similarity condition you used.

Answers

Answer:C.

each pair of triangles below

UT/IF:TQ/IK:IQ/KF

14/44.8:20/64

5/16:5/16

since they are similar

<R=<K=96°

<J=<X=32°

<Q=<K=52°

since corresponding angle are equal.

they are similar

JR/XV:RQ/KV:JQ/XK

similarity condition are:

the corresponding side are proportional and angle are equal.

9514 1404 393

Answer:

c. no

d. yes; AA postulate

Step-by-step explanation:

c. The marked sides have the same ratio ...

20/14 = 10/7 = 64/44.8

However, the angle between them is not marked as being the same. We cannot conclude the triangles are similar.

d. Missing angle R is 180° -32° -52° = 96°. So, two of the angles in the triangles match. (32° and 96°) ∆RQJ ~ ∆VKX by the AA postulate.

Segment CD is shown on the graph. Which shows how to find the y-coordinate of the point that will divide CD into a 5:2 ratio using the formula y = (y2 – y1) + y1? y = (3 – 1) + 1 y = (3 + 4) – 4 y = (3 – 1) + 1 y = (3 + 4) – 4

Answers

Answer:

Options are not clear.

See explanation

Step-by-step explanation:

Given

[tex]C = (-4,1)[/tex]

[tex]D = (3,3)[/tex]

[tex]m : n =5:2[/tex]

Required

The y coordinate

When a line is divided into segments, by ratios.

The formula is:

[tex](x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]

By comparison:

[tex]y = \frac{my_2 + ny_1}{m + n}[/tex]

Where:

[tex]y_1 = 1; y_2 = 3[/tex]

[tex]m : n =5:2[/tex]

So, we have:

[tex]y = \frac{5*3 + 2*1}{5 + 2}[/tex]

[tex]y = \frac{15 + 2}{7}[/tex]

[tex]y = \frac{17}{7}[/tex]

Answer:

{5/7}(3-1)+1

Step-by-step explanation:

got it right on edg

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Which line plot displays a data set with an outlier?

Answers

Answer:

The last one.

Step-by-step explanation:

It's the one that has a lot of points (from 11-16) and then one point just chilling on 5. That one point is the outlier. Hope this helps! Have a nice day :)

1 hundredth + 3 tenths =?hundredths

Answers

Answer:

.01 + .3 = 0.31

Step-by-step explanation:

Question 1
Researchers want to find a way to increase the growth rate of corn so it can be harvested more often. To test the effectiveness of a new type of spray fertilizer, plants grown from 200 corn seeds were divided equally into two groups: a treatment group and a control group. The treatment group was frequently sprayed with the new type of fertilizer. The growth in centimeters of each corn plant was noted before and after the treatment.

The results showed that the mean change in the growth rate by the treatment group is 8 points more than that of the control group. To test whether the results could be explained by random chance, researchers created a table that summarizes the results of 1,000 re-randomizations of the data with differences of means rounded to the nearest 2 points.

Consider the significance level to be set at 5%, so results less than 5% can be considered statistically significant.
Part B
Question
Which statement is true about the result considering a significance level of 5%?

The result is not statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.
The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.
The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does not increase the growth rate.
The result is not statistically significant, which implies that this result could be due to random chance.

Answers

Answer: The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.

Step-by-step explanation:

The statement that is true about the result considering a significance level of 5% is B. The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.

What is Statistics?

This refers to the analysis of numbers and data to make an inference about a thing.

Hence, we can see that based on the research made about the growth rate of corn, we can see that from the significance level of 5%, we can see that spraying the corn plants with the new type of fertilizer does increase the growth rate.

Answers

Answer:

Step-by-step explanation:

I dont see The figure to hepl you

Let X and Y denote the latitude and longitude of a person who is thought to be lost in a certain part of a forest. If we assume that the density of X is uniform for 2 < X < 8.2 and the density of Y is also uniform for 3.01 < Y < 6.3, and we assume that X and Y are independent, then the joint density of X and Y is

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Answer:

P(X, Y) = 1/(20.398 ) if X ∈ (2, 8.2) and Y ∈ (3.01, 6.3)

P(X, Y) = 0 if X ∉ (2, 8.2) and Y ∉ (3.01, 6.3)

Step-by-step explanation:

We know that the possible values of X (all with the same probability) are:

2 < X < 8.2

And for Y we have the range (also uniform):

3.01 < Y < 6.3

Then we have a rectangle of area.

(8.2 - 2)*(6.3 - 3.01) = 20.398

Such that the probability for all the points inside the rectangle should be exactly equal, then we will have:

P(X, Y) = 1/(20.398 ) if X ∈ (2, 8.2) and Y ∈ (3.01, 6.3)

Such that if we integrate this in the given region, the integral will be equal to 1, as we should expect.

And zero if the point is outside that region, this is:

P(X, Y) = 0 if X ∉ (2, 8.2) and Y ∉ (3.01, 6.3)

I need the answer fast

Answers

The answer is the first one, A = 0.5bh. I hope this helps, have a good day!

i would love a little help

Answers

Step-by-step explanation:

36A) AB = 4/ sin 30° = 4/ 0.5 = 8 cm

36B) AC = 4/ tan 30° = 4/ 0.577 = 6.9 cm

36C) BD = 4/sin 45° = 4/ 0.707 = 5.7 cm

36D) area of ∆ABC = ½×6.9×4= 13.8 cm²

36E) sin A = sin 30° = 0.5

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Answers

It’s the last one Which is =

Answer:

Step-by-step explanation:

41/8 = 5.125

HELP ASAP PLS
The lifespan of a car battery is normally distributed with µ = 5 years and σ = 1.2 years. What is the probability that a new battery will last between 7 and 8 years?
a. 3.61%
b. 13.74%
c. 4.16%
d. 2.15%

Answers

Answer:

4.16%

Step-by-step explanation:

Had it on my test gl!

The probability that a new battery will last between 7 and 8 years is 4.16%.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

µ = 5 years and σ = 1.2

Now, P( 7 < x <8)

= P ( 7- µ/σ < x- µ/σ < 8- µ/σ)

= P( 7- 5/1.2 < 7- µ/σ < 8- 5/1.2)

= P (1.5 < z < 2.5)

= Φ(2.5) - Φ (1.5)

= 0.9938 - 0.9522

= 4.16%

Learn more about Probability here:

https://brainly.com/question/30034780

#SPJ2

In a survey of 802 U.S. adult drivers, 265 state that traffic is getting worse in their community. Construct a 95% confidence interval for the proportion of residents who think traffic is getting worse in their community.

Answers

Answer:

The 95% confidence interval for the proportion of residents who think traffic is getting worse in their community is (0.2978, 0.3630).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

In a survey of 802 U.S. adult drivers, 265 state that traffic is getting worse in their community.

This means that [tex]n = 802, \pi = \frac{265}{802} = 0.3304[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3304 - 1.96\sqrt{\frac{0.3304*0.6669}{802}} = 0.2978[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3304 + 1.96\sqrt{\frac{0.3304*0.6669}{802}} = 0.3630[/tex]

The 95% confidence interval for the proportion of residents who think traffic is getting worse in their community is (0.2978, 0.3630).

A car salesman will make $1400 salary this month and will earn an extra $500 each time he sells a car. Write an equation for the situation. Determine how much money he will make if he sells 7 cars.

Answers

Given:

Fixed salary = $1400

Additional salary = $500 each time he sells a car.

To find:

The equation for the situation and how much money he will make if he sells 7 cars.

Solution:

Let y be the total salary of the salesman after selling x cars.

He will earn an extra $500 each time he sells a car. So, extra money earned by him after selling x cars is 500x.

Total salary = Fixed salary + Additional salary

[tex]y=1400+500x[/tex]

Substituting [tex]x=7[/tex], we get

[tex]y=1400+500(7)[/tex]

[tex]y=1400+3500[/tex]

[tex]y=4900[/tex]

Therefore, the required equation for the given situation is [tex]y=1400+500x[/tex] and the salesman will earn $4900 if he sells 7 cars.

Need help asap please

Answers

Answer:

3.8×10^7= 38000000

1.9×10^6= 1900000

38000000÷1900000= 20

the population of California is 20 greater than the population of Nebraska

I WILL GIVE BRAINLY!! Thank you :)

Answers

I provide the example of how it was calculated and the answer is right there too .

Segment AB, with endpoints A(-6,9) and B(12, -3), is dilated by a scale factor of 2/3 centered at the origin. What are the coordinates of A'?

Answers

9514 1404 393

Answer:

A'(-4, 6)

Step-by-step explanation:

When dilation is about the origin, the image points are the preimage points multiplied by the scale factor.

A' = (2/3)A = (2/3)(-6, 9)

A' = (-4, 6)

Answer:

(-4, 6)

Step-by-step explanation:

I need Help!
+9 - (+12) =?

Answers

Answer:

+9-12

==3

Step-by-step explanation:

when u multiply - and + it will always be -

Answer:

To simplify this, it is simply.

9 - 12

Because the + means its a positive.

9 - 12 = - 3

The probability that a birth in the United States is male during 2018 is 0.511. Suppose a random number generator from 1 to 1,000 is used as a statistical model to create simulated results for births in the United States during 2018. Suppose the numbers 1 to 511 represent a male birth in the United States during 2018 and 512 to 1,000 represent a female birth in the United States during 2018. Explain whether the following results are consistent with the model, and if not, explain the expected number of male births and the expected number of female births for 300

trials.

In 300
simulated trials, 171 of the births are female and 129 are male.

Answers

Answer:

Step-by-step explanation:

The probability that a birth in the United States is male during 2018 is 0.511. So there are slightly more males than females born.

In 300 simulated trials, 171 of the births are female and 129 are male. More females are born so it is not consistent with the model.

The expected number of male birth for 300 trials should be 300*0.511 = 153.

The expected number of female = 300-153 = 147

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