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3 years ago

Evaluate the expression for the given values. 4ab/8c , where a = 8, b = 4, and c = 1/2 Enter your answer in the box.

Mathematics

2 answers:

devlian [24]3 years ago

8 0

4*8*4/8*1/2
128/4
32
The answer is 32.

WARRIOR [948]3 years ago

3 0

Answer: The answer is 32

Step-by-step explanation:

We can evaluate the given expression 4ab/8c by putting the giving values of the variables ( that is, the letters a,b and c) into the given expression. The given expression indicates that we are to find the product of the numerator (4ab) and as well find the products of the denominator (8c). We will then get our answer by dividing the result of the product of the numerator by that of the denominator. From the question, the given values of the variables are as follows:

a = 8; b = 4 and c = 1/2.

Then, for the numerator,

4ab = 4 × 8 × 4 = 128

For the denominator,

8c = 8 × (1/2) = 4.

Our final answer will then become

128 ÷ 4 = 32.

Hence, for the given values, the expression is evaluated as 32.

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What's the area of a circle with diameter 18 units? Question 8 options: A) 9π units2 B) 81π units2 C) π units2 D) 18π units2

Anna [14]

Answer:

B) 81π units²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Radius of a Circle Formula: r = d/2

r is radius
d is diameter

Area of a Circle Formula: A = πr²

Step-by-step explanation:

Step 1: Define

Diameter d = 18 units

Step 2: Manipulate Variables

Radius r = 18 units/2 = 9 units

Step 3: Find Area

Substitute in r [Area of a Circle Formula]: A = π(9 units)²
[Area] Evaluate exponents: A = π(81 units²)
[Area] Multiply: A = 81π units²

6 0

2 years ago

Solve by Elimination: 8x + 6y = -5 10x + 6y= -13

jonny [76]

Answer:

x= -4 and y= 27/6

Step-by-step explanation:

-(8x + 6y = -5) which converts to -8x -6y = 5

10x + 6y = -13

simplify from there

-8x + 10x = 2x ; -6y + 6y = 0 ; 5 - 13 = -8

soo, now you have

2x = -8

x = -4

then, plug in to find y

8(-4) + 6y = -5

-32 + 6y = -5 add 32 on both sides

6y = 27 divide both sides by 6

y= 27/6 or 4.5

8 0

2 years ago

An aeroplane X whose average speed is 50°km/hr leaves kano airport at 7.00am and travels for 2 hours on a bearing 050°. It then

Zigmanuir [339]

Answer:

(a)123 km/hr

(b)39 degrees

Step-by-step explanation:

Plane X with an average speed of 50km/hr travels for 2 hours from P (Kano Airport) to point Q in the diagram.

Distance = Speed X Time

Therefore: PQ =50km/hr X 2 hr =100 km

It moves from Point Q at 9.00 am and arrives at the airstrip A by 11.30am.

Distance, QA=50km/hr X 2.5 hr =125 km

Using alternate angles in the diagram:

$\angle Q=110^\circ$

(a)First, we calculate the distance traveled, PA by plane Y.

Using Cosine rule

$q^2=p^2+a^2-2pa\cos Q\\q^2=100^2+125^2-2(100)(125)\cos 110^\circ\\q^2=34175.50\\q=184.87$ km$

SInce aeroplane Y leaves kano airport at 10.00am and arrives at 11.30am

Time taken =1.5 hour

Therefore:

Average Speed of Y

$=184.87 \div 1.5\\=123.25$ km/hr\\\approx 123$ km/hr (correct to three significant figures)$

(b)Flight Direction of Y

Using Law of Sines

$\dfrac{p}{\sin P} =\dfrac{q}{\sin Q}\\\dfrac{125}{\sin P} =\dfrac{184.87}{\sin 110}\\123 \times \sin P=125 \times \sin 110\\\sin P=(125 \times \sin 110) \div 184.87\\P=\arcsin [(125 \times \sin 110) \div 184.87]\\P=39^\circ $ (to the nearest degree)$