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solniwko [45]
2 years ago
7

Which expression represents a number, p, added to the difference of 25 and 5?

Mathematics
2 answers:
Arlecino [84]2 years ago
6 0

Answer:

A.

Step-by-step explanation:

blsea [12.9K]2 years ago
3 0
A, it correctly shows p added to 25-5.
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The area of a rectangular wall of a barn is 85 square feet. Its length is 12 feet longer than the width. Find the length and wid
MaRussiya [10]

Answer:

Length = 17 feet, Width = 5 feet

Step-by-step explanation:

Given:

The area of a rectangular wall of a barn is 85 square feet.

Its length is 12 feet longer than the width.

Question asked:

Find the length and width of the wall of the barn.

Solution:

Let width of a rectangular wall of a barn = x

<u>As length is 12 feet longer than the width.</u>

Length of a rectangular wall of a barn = 12+x

As we know:

Area\ of\ rectangle=length\times breadth

85=(12+x)x\\\\85=12x+x^{2} \\

Subtracting both sides by 85

x^{2} +12x-85=0\\x^{2} +17x-5x-85=0\\Taking\ common\\x+(x+17)-5x(x+17)=0\\(x+17)(x-5)=0\\x+17=0, x-5=0\\x=-17,x=5

As width can never be in negative, hence  width of a rectangular wall of a barn = x = 5 feet

Length of a rectangular wall of a barn = 12+x=12+5=17\ feet

Therefore, length and width of the wall of the barn is 17 feet and 5 feet respectively.

                 

4 0
3 years ago
Given a cone 10 feet tall with a diameter of 10 feet, determine the radius of the smaller cone created when a horizontal plane p
11111nata11111 [884]

Answer:

r=3 ft

Step-by-step explanation:

it is similarity of two triangles

one

perpendicular side=10 ft

base=10/2=5 ft

second

perpendicular side=10-4=6 ft

Base r=?

\frac{r}{5}=\frac{6}{10}\\r= \frac{6}{10} \times 5=3~ft

8 0
3 years ago
Space Shuttle Marion is observing the launch of a space
Vera_Pavlovna [14]

Using the slope concept, it is found that the shuttle traveled 3.2 miles while Marion was watching.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.

Initially, the angle of elevation is of 16º, with an elevation of 1 mi, hence:

\tan{16^\circ} = \frac{1}{x_1}

x_1 = \frac{1}{\tan{16^\circ}}

x_1 = 3.5

Then, at the end, the angle will be of 74º, with the elevation remaining constant, hence:

\tan{74^\circ} = \frac{1}{x_2}

x_2 = \frac{1}{\tan{74^\circ}}

x_2 = 0.3

The distance is:

d = x_1 - x_2 = 3.5 - 0.3 = 3.2

The shuttle traveled 3.2 miles while Marion was watching.

More can be learned about the slope concept at brainly.com/question/18090623

3 0
2 years ago
A taxicab charges $3.00 per person
Delicious77 [7]

Answer:

I believe the answer would be 20 miles max for one passenger.

Step-by-step explanation:

This is because if you create an equation out of this, knowing that only one passenger will be riding, you will get:

$3.00+$1.25x=$28       ($3 added too $1.25 times the number of miles (x) which equals the total amount you have ($28)).

x being the number of miles (so we need to calculate for x)

$3 + $1.25x = $28

-subtract 3 on both sides-

$1.25x=$28-$3

$1.25x=$25

-divide by 1.25 on both sides-

x=$25/$1.25

x=20 miles

Not sure if all calculations are correct, but I hope this helps :)!

6 0
2 years ago
#11 Write the decimal<br> 1.0056 in word form.
malfutka [58]

Answer: One and fifty six thousandths

Step-by-step explanation:

The 1 represents one so that first the decimal point represents and so that’s second 56 represents the thousands place so it would be fifty six thousandths since it is on the right side of the decimal.

8 0
3 years ago
Read 2 more answers
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