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3 years ago

Write 1.547x10^3 as an ordinary number

Mathematics

1 answer:

xxMikexx [17]3 years ago

5 0

Answer:

1547

Step-by-step explanation:

10^3 is 1000 1.547 x 1000 = 1547.

Pls follow and mark answer as brainliest

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1. A ladder 17 feet long is leaned up against a house,

zepelin [54]

Answer:

The base of the ladder has a length of 8 ft.

Step-by-step explanation:

We have to draw a triangle, as the figure attached.

The hypothenuse of the triangle is the length of the ladder (17 ft).

The height on the wall that the ladder reach is the adjacent (15 ft).

The base of the ladder is our unknown quantity X.

We will use the Pythagorean theorem to express the relation between these numbers:

$c^2=a^2+b^2\\\\17^2=15^2+x^2\\\\x^2=17^2-15^2=289-225=64\\\\x=\sqrt{64}=8$

The base of the ladder has a length of 8 ft.

7 0

3 years ago

Find the equation of the line passing through the points (-4,-5) and (4,1)

RoseWind [281]

Answer:

Y = 3/4x - 2

Step-by-step explanation:

Slope = (1 - - 5)/(4 - - 4 =6/8 = 3/4

b = -5 - (3/4)(-4)

b = -5 + 3 = -2

y = 3/4x - 2

6 0

2 years ago

A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of t

Vlad1618 [11]

Answer:

$185553.7\text{ feet}^3$

Step-by-step explanation:

GIVEN: A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of the dome is $84\text{ feet}$ , and the total height of the building up to the top of the dome is $91\text{ feet}$ .

TO FIND: what is the approximate total volume of the building.

SOLUTION:

let the height of the mountaintop be $h\text{ feet}$

As the dome hemispherical.

circumference of a hemisphere $=\frac{1}{2}\times2\pi\times radius$

$=\pi\times radius$

$\frac{22}{7}\times radius=84$

$radius=26.75\text{ feet}$

total height of the building up to the top of the dome $=\text{radius of hemisphere}+\text{height of mountaintop}$

$=26.75+h=91$

$h=64.25\text{ feet}$

Volume of building $=\text{volume of cylindrical mountaintop}+\text{volume of dome}$

$=\pi(radius)^2h+\frac{2}{3}\pi(radius)^3$

as radius of mountain top is same as dome

putting values

$=3.14(26.75)^264.75+\frac{2}{3}3.14(26.75)^3$

$=145484.6+40069.1$

$185553.7\text{ feet}^3$

Hence the total volume of the building is $185553.7\text{ feet}^3$

5 0

3 years ago

You must roll a total of 9 on two number cubes to win the

Andru [333]

You need to figure out how many ways you can roll a sum of 9.

3 and 6, 4 and 5, 5 and 4, and 6 and 3. That's 4/36, or a 1/9 chance.

Alex has a 1/6 chance. Therefore, Alex is more likely to win.

7 0

3 years ago

Read 2 more answers

Idk wat to do.....<br>........

oksano4ka [1.4K]

Answer:

Mean : 95

Median : 85

Mode : 90

Part B : Impossible

Step-by-step explanation:

We can make an equation to find the mean using the first 5 history test scores.

$85=\frac{80+75+90+75+95+n}{6} \\ \\ 85=\frac{415+n}{6} \\ \\ 510=415+n \\ \\ n=95$

So a 95 would be needed to have a mean of 85.

Next, the median.

First, we sort the first 5 history scores from least to greatest.

We get 75, 75, 80, 90, 95.

Since, 80 is the middle value, it will be used in the calculation of the median.

We can make an equation with this.

$82.5=\frac{80+n}{2} \\ \\ 165=80+n \\ \\ n=85$

So a score a 85 would be needed to have a median of 82.5

Thirdly, the mode.

Since 90 is already in the set once, we can just have Maliah score another 90 to make 90 the mode (with the exception of 75 of course).

Finally, Part B.

We can use the equation we had for the first mean calculation but change 85 to 90.

$90=\frac{80+75+90+75+95+n}{6} \\ \\ 90=\frac{415+n}{6} \\ \\ 540=415+n \\ \\ n=125$

So Maliah would need a score of 125 to make her mean score 90, but since the range is only from 0-100, it is impossible.

8 0

3 years ago