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2 years ago

Solve this inequality. -5x + 7 42

1 answer:

4 0

The answer is either x>-7 or x<-7 I think it is the first one but I haven’t done these in a while so I forget when to switch the signs

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Need answer quick please answer quick

Natalka [10]

Answer : 1⅖ft.²

Given :-

Print is 7/8 ft wide and 1⅗ ft long .

To Find :-

The area of the print .

Here the length of the print is 1⅗ ft . So on converting this into improper fraction , we have ;

→ length = 1⅗ ft = (5*1+3)/5 ft = (5+3)/5ft = 8/5ft.

Also ,

→ breadth = 7/8ft .

We know that the area of a rectangle is ,

→ Area = length * breadth

On substituting the respective values,

→ Area = 8/5 ft. * 7/8ft

→ Area = 7/5 ft.²

After converting improper fraction into mixed fraction ,

→ Area = 1⅖ ft² .

Henceforth the area of the print is 1⅖ft.² .

I hope this helps.

6 0

1 year 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

2 years ago

What is the value of m?

Sliva [168]

Answer:

4) M=5

Step-by-step explanation:

When multiplying exponents, you add them. When raising an exponent to another power, you multiply them.

(x^5*x²)³=(x^7)³=x^21

7 0

2 years ago

A spinner with 9 equal sections is numbered 1 through 9. The probability of spinning a 1 or a 9 is 2/9 .

USPshnik [31]

The answer would be 7/9. If the spinner has 9 sections and you want to know the probability of NOT landing on a 1 or a 9, you would subtract 2 from 9 since there are 2 numbers and 9 total.

6 0

3 years ago

Read 2 more answers

What is the slope of the line represented by the equation y = –1/2x+1/4?

max2010maxim [7]

Answer:

A. -½

Step-by-step explanation:

In the Slope-Intercept Formula, y = mx + b, m represents the rate of change [slope], so in this case, the slope is -½.

I am joyous to assist you anytime.

7 0

2 years ago