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3 years ago

What is the length of a rectangle with width 10 in. and area 85 in^(2)

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

5 0

Answer:

8.5 in

Step-by-step explanation:

Area of a rectangle = Length × Width

Area = 85

Width = 10

Hence the value of the length;

; 85 = 10 × Length

;then divide both sides by 10

Hence the length of the rectangle;

(85 ÷ 10) = Length

; Length = 8.5 in

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Four less than the quotient of ten and a number, increased

Alecsey [184]

Answer:

Step-by-step explanation:

Quotient of two numbers means that one number is dividing the other since quotient also means division. If we have quotient of ten and a number, this can be represented as 10/y where y is the unknown number.

If the resulting number is increased by 8, then we will add 8 to the function 10/y to give 10/y + 8 (note that increment means addition)

Finally, four less than the quotient of ten and a number, increased by eight will give us te difference between the resulting function and 4 i.e (10/y +8)-4

The resulting equation of the statement is (10/y +8)-4

To evaluate the result when y = 2, we will substitute y = 2 into the resulting function;

f(y) = (10/y +8)-4

f(2) = (10/2 +8)-4

f(2) = (5+8)-4

f(2) = 13-4

f(2) = 9

Hence the value of the expression when y = 2 is 9

6 0

3 years ago

A communications tower is supported by two wires, connected at the same point on the ground. One is attached to the tower at D a

viktelen [127]

Answer:

10.99 m

Step-by-step explanation:

✍️What we are basically asked to solve here is to find the distance between C and D.

To find CD, find the length of BC, and BD. Their difference will give us CD.

Thus, BC - BD = CD.

✍️Finding BC using trigonometric ratio formula:

$\theta = 30 + 10 = 40$

Opposite side = BC = ??

Adjacent side = 42 m

Thus:

$tan(\theta) = \frac{opposite}{adjacent}$

Plug in the values

$tan(40) = \frac{BC}{42}$

Multiply both sides by 42

$tan(40) \times 42 = \frac{BC}{42} \times 42$

$35.24 = BC$

BC = 35.24 m

✍️Finding BD using trigonometric ratio formula:

$\theta = 30$

Opposite side = BD = ??

Adjacent side = 42 m

Thus:

$tan(\theta) = \frac{opposite}{adjacent}$

Plug in the values

$tan(30) = \frac{BD}{42}$

Multiply both sides by 42

$tan(30) \times 42 = \frac{BD}{42} \times 42$

$24.25 = BD$

BD = 24.25 m

✍️How much below the top of the tower is the shorter one attached:

Thus,

BC - BD = CD

35.24 m - 24.25 m = 10.99 m

7 0

3 years ago

The Table represents a Linear Function.

ExtremeBDS [4]

Answer:

The answer is 3

Step-by-step explanation:

I used the equation y/x. (Use the differences between two rows.)

7 0

3 years ago

(GIVING BRAINLIEST!!!)

Lapatulllka [165]

Answer:

each bag weights 1,500 grams

Step-by-step explanation:

there are 1000 grams in a kilogram

6 times 1000 is 6000

6000 divided by 4 is 1500

8 0

3 years ago

Read 2 more answers

Consider two circular swimming pools. Pool A has a radius of 22 feet, and Pool B has a diameter of 13.6 meters. Complete the des

maw [93]

Answers:

13 42 m; B; 0.57 m

Step-by-step explanation:

Data:

Pool A: r = 22 ft

Pool B: D = 13.6 m

Calculations:

1. Radius of Pool A

r = 22 ft × (0.305 m/1 ft) = 6.71 m

2. Diameter of Pool A

D =2r = 2 × 6.71 = 13.42 m

The diameter of Pool A is 13.42 m.

3. Compare pool diameters

The diameter of Pool B is 13.6 m.

So, the diameter of Pool B is greater.

4. Compare circumferences

The formula for the circumference of a circle is

C = 2πr or C = πD

Pool A: C = 2π × 6.71 = 42.16 m

Pool B: r = π × 13.6 = 42.73 m

Pool B - Pool A = 42.73 - 42.16 = 0.57 m

The circumference is greater by 0.57 m.

8 0

3 years ago