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Anettt [7]
3 years ago
9

A drawer has a volume of 1575 cubic inches. the drawer is 5 inches deep and 21 inches long. What is the width of the drawer?

Mathematics
1 answer:
katrin [286]3 years ago
3 0
Volume is l × w × h
l = 21 in
h = 5 in
w = ?
volume = 1575 in

21 × 5 × w = 1575
105 × w = 1575
w = 1575 ÷ 105
w = 15 inches
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Answer:

c

Step-by-step explanation:

8 0
3 years ago
A cruise ship is traveling south going approximately 22 mph when it hits the Gulf Stream flowing east at 4 mph. Which expression
alexira [117]
<h2>Hello!</h2>

The answer is:

The correct option is

a) Resultant=\sqrt{22^{2} +4^{2} }

<h2>Why?</h2>

Since a right triangle is formed, we can calculate the resultant force using the Pythagorean Theorem which states that:

c=\sqrt{a^{2}+b^{2}}

Where,

c, is the hypothenuse.

a, is one triangle leg.

b, is the other triangle leg.

So, we are given the information:

a=22mph

b=4mph

So, calculating the resultant force (hypothenuse), we have:

Resultant=\sqrt{22^{2} +4^{2} }

Hence, the expression that would find the result velocity is:

a) [tex]Resultant=\sqrt{22^{2} +4^{2} }[/tex]

Have a nice day!

4 0
4 years ago
A, b, c, d are the roots of 3x⁴-6x²+2=0. what is the value of a⁴+b⁴+c⁴+d⁴?
Pani-rosa [81]
Hello,

P(x)=x^4-6x²+2=(x-a)(x-b)(x-c)(x-d)
=x^4-(a+b+c+d)x^3+(ab+ac+ad+bc+bd+cd)x^2-(abc+abd+acd+bcd)x+abcd

==>
ab+ac+ad+bc+bd+cd=-6
abc+abd+acd+bcd=0
abcd=2
a+b+c+d=0 ==>(a+b+c+d)²=0=a²+b²+c²+d²+2(ab+ac+ac+bc+bd+cd)
==>a²+b²+c²+d²=0-2*(-6)=12




if a is a root P(a)=0==>a^4-6a²+2=0
if b is a root P(b)=0==>b^4-6b²+2=0
if c is a root P(a)=0==>c^4-6c²+2=0
if d is a root P(a)=0==>d^4-6d²+2=0

==>a^4+b^4+c^4+d^4-6(a²+b²+c²+d²)+4*2=0
==>a^4+b^4+c^4+d^4=-8+6*12=64


6 0
4 years ago
The size of a bicycle is determined by the diameter of the wheel. You want a 22-in bicycle for your birthday. What is the area o
oksian1 [2.3K]

Answer:

The Area of the bicycle wheel=380.182 square inch

Step-by-step explanation:

The formula for calculating the area of a wheel is given by;

A=(πd²)/4

A=Area of the wheel to be calculated

Where π (pie)=3.142,

The wheel size is usually denoted by its diameter (d)

d=diameter of the wheel=22 inches

with the values of π and d given, we can plug them in the formula for calculating Area to determine the area of the bicycle wheel

Substituting the values for π and d in the formula;

A=(πd²)/4=(3.142×22²)/4=380.182 in²

The Area of the bicycle wheel=380.182 in²

6 0
3 years ago
BRAINLIEST PLEASE HELP!!<br> 6. Find x and the measures of the indicated parts.<br> AS
AleksandrR [38]

Answer:

D

Step-by-step explanation:

Δ CBA and Δ SAR are similar

Thus the ratios of corresponding sides are equal, that is

\frac{CB}{SA} = \frac{CA}{SR} , substituting values gives

\frac{5}{x} = \frac{10}{4} ( cross-  multiply )

10x = 20 ( divide both sides by 10 )

x = 2

Thus

AS = x = 2

6 0
4 years ago
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