MATHEMATICS HIGH SCHOOL

The rectangle is 3 3⁄4 centimeters long and 2 1⁄2 centimeters wide. What is the area of this rectangle?please help me ASAP
Ive been struggling

Answers

Answer 1
Answer:

Answer:

The answer to your question is    Area = 9 3/8

Step-by-step explanation:

Data

length = 3 3/4 cm

width = 2 1/2 cm

Process

1.- Write the equation of the Area of a rectangle

   Area = length x width

2.- Convert the values to improper fractions

     3 3/4 = (12 + 3)/ 4 = 15/4

     2 1/2 = (4 + 1) / 2 = 5/2

3.- Substitution

      Area = (15/4)(5/2)

4.- Simplification

      Area = 75/8

5.- Convert to a mixed fraction

                       9

                8   75              

                        3

6.- Result

   Area = 9 3/8

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What is the solution to the equation 4.7x+3.8=13.2

Answers

Simplifying4.7x + 3.8 = 13.2Reorder the terms:3.8 + 4.7x = 13.2Solving3.8 + 4.7x = 13.2Solving for variable 'x'.Move all terms containing x to the left, all other terms to the right.Add '-3.8' to each side of the equation.3.8 + -3.8 + 4.7x = 13.2 + -3.8Combine like terms: 3.8 + -3.8 = 0.00.0 + 4.7x = 13.2 + -3.84.7x = 13.2 + -3.8Combine like terms: 13.2 + -3.8 = 9.44.7x = 9.4Divide each side by '4.7'.x = 2 so 2 is your answer hope this helps :)

The list price of a massaging chair is $450. The net price to the retailer is $391.50. What is the trade-discount rate? *

Answers

The list price of the massaging chair is 450 dollars. Now, the net price of the retailer is 391.50.
Let's find our the trade discount rate.
=> 391.50 dollars / 450 dollars = 0.87 * 100% = 87%
=> 100% - 87% = 13% is the trade discount of the retailer.

the measures of two angles of a triangle are 35 degrees and 45 degrees. what is the measure of the third angle of the triangle?

Answers

If it is a triangle, the total degree should be equal to 180.
So the last angle
180 - (35+45)
180 - 80
100

37. A company is choosing between two tanks for mixing chemicals Bothhave the same price, so the company plans to choose the one thatcan holdtanksthemost chemicals. The first tank conical with a diameter of 10 feet anda heightof 15 feet. The second tank is a hemisphere with a radius of 5.5 feetOne cubic foot 7.48 gallons

Answers

Volume of the conical tank = 1/3pi*r^2 * h = 1/3pi * (10/2)^2 * 15 = 125pi cubic feet or 392.7 cubic feet = 392.7 * 7.48 gallons = 2937 gallons.

Volume of the hemispherical tank = 2/3pi * r^3 = 2/3pi * (5.5)^3 = 348.5 cubic feet = 348.5 * 7.8 gallons = 2606 gallons

Hence the conical tank will contain more chemicals
Given:
1st tank: conical with diameter of 10 feet and height of 15 feet.
2nd tank: hemisphere with a radius of 5.5 feet

volume of a cone = πr² h/3
V = 3.14 * (5ft)² * 15ft/3
V = 3.14 * 25ft² * 5ft
V = 392.5 ft³

392.5 ft³ * 7.48 gallons/ft³ = 2,935.9 gallons

volume of a hemisphere = (2πr³)/3
V = [2 * 3.14 * (5.5ft)³]/3
V = (2 * 3.14 * 166.375 ft³)/3
V = 1,044.835 ft³/3
V = 348.28 ft³

348.28 ft³ * 7.48 gallons/ft³ = 2,605.13 gallons

Quadrilateral ABCD is inscribed in a circle. m A is 64°, m B is (6x + 4)°, and m C is (9x - 1)°. What is m D?A. 64°
B. 82°
C. 90°
D. 98°
E. 116°

Answers

Answer: Choice D) 98 degrees

============================================================

Explanation:

The quadrilateral is inscribed in the circle which means every corner point (A,B,C,D) is on the circle. No part of the quadrilateral is outside the circle. 

One property of inscribed quadrilaterals is that the opposite angles add to 180 degrees. So,
A+C = 180
B+D = 180

We know that
A = 64
B = 6x+4
C = 9x-1

Let's use angles A and C to find x
A+C = 180
64+9x-1= 180
9x+63 = 180
9x+63-63 = 180-63
9x = 117
9x/9 = 117/9
x = 13

Which helps us find angle B
B = 6x+4
B = 6*13+4
B = 78+4
B = 82 degrees

Then we can finally find angle D
B+D = 180
82+D = 180
82+D-82 = 180-82
D = 98 degrees

Answer:

choiced c 98

Step-by-step explanation:

What's the simplified form of 2x + 3 - x + 5?a. 3x + 8
b. x - 8
c. x - 2
d. x + 8

Answers

D.
Because you can combine all like terms. 2x and -x can be solved. That would equal x. +3 and +5 can be combined to make a positive 8. Therefore the answer would be x+8.
Ok so at first this problem may seem confusing but no worries. MATH is like that so our first step is to combine like terms which are the variables in the equation . So we have 2x+3-x+5 so like I said combine like terms is the first step so 2x and 1x are like terms because they have the variable x involved so when we subtract we get a result of 1x now wr have to add the constants which afr the numbers without variables which would equal the final form 1x+8 your answer is d
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