Is 4 3/5 - 3 3/4 greater than or less than 1

100

disa [49]

Answer:

Distance of ladder top from ground = 9.2 meter (Approx.)

Step-by-step explanation:

Given:

Angle of elevation between ground and ladder = 43°

Length of ladder = 13.5 meter

Find:

Distance of ladder top from ground

Computation:

Length of ladder = Hypotenuse

Distance of ladder top from ground = Perpendicular

Sinθ = Perpendicular / Hypotenuse

Sin 43 = Distance of ladder top from ground / Length of ladder

0.6819 = Distance of ladder top from ground / 13.5

Distance of ladder top from ground = 9.20565

Distance of ladder top from ground = 9.2 meter (Approx.)

8 0

3 years ago

Geometry help please! Match the reasons with the statements

Alex73 [517]

Given ⇔ 1. ∠PRS and ∠VUW are supplementary
Angles forming a linear pair sum of 180° ⇔ 3. ∠PRS + ∠SRU = 180°
Definition of Supplementary angle ⇔ 2. ∠PRS + ∠VUW = 180°
Transitive property of equality ⇔ 4 . ∠PRS + ∠VUW = ∠PRS + ∠SRU
Algebra ⇔ 5. ∠VUW = ∠SRU
Converse of Corresponding angle Postulate ⇔ Line TV || Line QS

<u>Step-by-step explanation:</u>

Here we have , ∠PRS and ∠VUW are supplementary . We need to complete the proof of TV || QS , with matching the reasons with statements .Let's do this :

Given ⇔ 1. ∠PRS and ∠VUW are supplementary
Angles forming a linear pair sum of 180° ⇔ 3. ∠PRS + ∠SRU = 180°
Definition of Supplementary angle ⇔ 2. ∠PRS + ∠VUW = 180°
Transitive property of equality ⇔ 4 . ∠PRS + ∠VUW = ∠PRS + ∠SRU
Algebra ⇔ 5. ∠VUW = ∠SRU
Converse of Corresponding angle Postulate ⇔ Line TV || Line QS

Above mentioned are , are the statements matched with expressions on right hand side (RHS) .

The Corresponding Angles Postulate states that, when two parallel lines are cut by a transversal , the resulting corresponding angles are congruent .

The converse states: If corresponding angles are congruent, then the lines cut by the transversal are parallel.

5 0

3 years ago

Nan and Santo are designing a coffee table using 4 inch tiles. Nan uses 30 tiles and Sato uses half as many how many . how many

KiRa [710]

First, you have to find half of 30. To find "half" means that you have to divide by 2. 30 divided by 2 is 15, because 15 + 15 = 30.
30 + 15 = 45
Salo and Nan used 45 total tiles.
Finally, to find out if they have enough tiles you have to divide 36 and 24 by 4. This is because that will tell you how many 4 inch tiles need to be used. So, 36/4 is 9, and 24/4 is 6.
9 tiles + 6 tiles = 15 tiles
Yes, they will have enough tiles to cover the table.

4 0

4 years ago

4. The distribution of blood cholesterol level in the population of young men aged 20 to 34 years is close to Normal, with mean

Pie

Answer:

a) 38.59% probability that a young man (aged 20 to 34) has a cholesterol level greater than 200 milligrams per deciliter.

b) By the Central Limit Theorem, the mean of the distribution of the sample mean would be 188 milligrams per deciliter

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 188, \sigma = 41$

a. Find the probability that a young man (aged 20 to 34) has a cholesterol level greater than 200 milligrams per deciliter.

This is 1 subtracted by the pvalue of Z when X = 200. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{200 - 188}{41}$

$Z = 0.29$

$Z = 0.29$ has a pvalue of 0.6141

1 - 0.6141 = 0.3859

38.59% probability that a young man (aged 20 to 34) has a cholesterol level greater than 200 milligrams per deciliter.

b. Suppose you measure the cholesterol level of 100 young men chosen at random and calculate the sample mean. If you did this many times, i. what would be the mean of the distribution of the sample mean

By the Central Limit Theorem, the mean of the distribution of the sample mean would be 188 milligrams per deciliter

5 0

3 years ago

One plane can travel 20 miles per hour faster than another. One of them goes 285 miles in the same time it takes the other to go

Hatshy [7]

Answer:

$\huge\fbox{Answer ☘}$

$\bold\blue{190 \:miles/hr \:and \:170 \:miles/hr}$

Step-by-step explanation:

Let the speed of faster plane be x

therefore ,

speed of slower plane = x - 20

As the time taken is same ,

$\frac{285}{x} = \frac{255}{x - 20} \\ \\ \frac{57}{x} = \frac{51}{x - 20} \\ \\ 57(x - 20) = 51x \\ \\ 6x = 1140 \\ \\ x = 190$

therefore ,

faster plane travels at a speed of 190 miles/hr

while..

the slower plane travels at a speed = ‎ ‎ ‎ ‎ ‎ ‎( 190-20 ) miles/hr

‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎=> 170 miles/hr

hope helpful~

7 0

2 years ago