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2 years ago

Find the size of angle YZX

Mathematics

1 answer:

Tasya [4]2 years ago

3 0

Answer:

21.001 cm

Step-by-step explanation:

The diagram shows right triangle with

Hypotenuse ZY = 22.3 cm

Leg XY = 7.5 cm

By the Pythagorean theorem,

$XY^2+XZ^2=ZY^2\\ \\7.5^2+XZ^2=22.3^2\\ \\XZ^2=22.3^2-7.5^2\\ \\XZ^2=(22.3-7.5)(22.3+7.5)\\ \\XZ^2=14.8\cdot 29.8\\ \\XZ^2=441.04\\ \\XZ=\sqrt{441.04}\approx 21.001\ cm$

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An open rectangular box is 4 feet long and has a surface area of 20 square feet. Find the dimensions of the box for which the vo

sweet-ann [11.9K]

SA=2H(L+W)+LW for open box
20=2H(4+W)+4(W)
distribute
20=8H+2WH+4W
divide both sides by 2
10=4H+WH+2W
solve for 1 variable, pick W
10-4H=WH+2W
10-4H=W(H+2)
(10-4H)/(H+2)=W

V=LWH
subsitute 4 for V, subsitute H for H and (10-4H)/(H+2) for W
V=(4)(H)(10-4H)/(H+2)
V=(40H-16H²)/(H+2)
find max value
take deritivitive of this thing
V'=-16(H²+4H-5)/((H+2)²)
using sign chart
sign changes from positive to negative at H=1

so at H=1
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W=(10-4H)/(H+2)
W=2

the dimeionts are

length=4ft
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height=1ft
(the volume is 8 cubic feet)

3 0

2 years ago

The quotient of a number and 3 is 6

KengaRu [80]

Step-by-step explanation:

the quotient of a number and 3 is 6

Solution,

Let the number be x, then

$\frac{x}{3} = 6 \\ x = 6 \times 3 \\ x = 18$

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1 year ago

Read 2 more answers

A checkerboard is 10 inches long on each side. What is the length of the diagonal from one corner to another? Round your answer

Lubov Fominskaja [6]

14.1 inches do you need an explanation

4 0

2 years ago

Please help thanks :)

kykrilka [37]

Question 1:

Multiply both sides of the proportion by 35.

You get.

7(x-1) = 4x+2

7x-7 = 4x+2

Now, add both sides by 7 and subtract both sides by 4x

3x = 9

Divide both sides by 3

x=3

Question 2:

Multiply both the numerator and the denominator of $\frac{x+1}{x+3}$ by 3.

We want to multiply it by 3 so that the +1 and +3 become +3 and +9. +3 and +9 have a difference of 6, just like 15 and 21, which is what we want.

$\frac{3x+3}{3x+9} = \frac{15}{21}$

Set the numerator equal to the numerator and the denominator equal to the denominator.

3x+3 = 15

3x+9 = 21

If you solve both of these, you get x=4 for both.

That's your answer.

Hope this helps! :)

8 0

2 years ago

Need help will def give Brainlyest

Aleksandr-060686 [28]

Your answer will be y=-2/3x+4/3 and I believe I deserve the brainliest answer :))) Hope this helps!

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2 years ago