What is 339.12 rounded to the nearest tenth

In this figure

alina1380 [7]

Answer:

∠y = 62.5°

∠x = 27.5°

Step-by-step explanation:

z is right angle. ∠z = 90°

∠x = ∠y - 35

∠x + ∠y + ∠z = 180 {Angle sum property of triangle}

y - 35 + y + 90 = 180

y + y - 35 + 90 = 180 {Combine like terms}

2y + 55 = 180

2y = 180 -55 {Subtract 55 from both sides}

2y = 125 {Divide both sides by 2}

y = 125 /2

∠y = 62.5°

∠x = 62.5 - 35 = 27.5°

6 0

2 years ago

A vendor sold a combined 234 sodas and hot dogs. The number of sodas was two times the number of hot dogs sold. Find the number

babymother [125]

Answer:

156 hot dogs
78 sodas

Step-by-step explanation:

A group of 2 hot dogs and 1 soda makes a group of 3 items. There were ...

234/3 = 78

groups of items sold.

Since there is 1 soda in the group, that's 78 sodas. The number of hot dogs is 2 times that, or 156 hot dogs.

78 sodas and 156 hot dogs were sold.

6 0

3 years ago

Which of the following statements are true?

astraxan [27]

C I think the answer is

8 0

3 years ago

Read 2 more answers

A rectangular box which is open at the top can be made from an12-by-18-inch piece of metal by cutting a square from each corner

algol [13]

Answer:

h=2.35in, l=13.3in and w=7.3in

Step-by-step explanation:

In order to solve this problem, we must start by drawing a diagram that will represent the prolem. (Look at attached picture)

From the diagram we can see that the length ad the width of the box are found by using the following expressions:

L=18-2x

W= 12-2x

H=x

next, we can make use of the volume formula of a rectangular prism, which is the following:

V=WLH

so we can substitute the expressions we got before on the formula:

V=x(12-2x)(18-2x)

and for ease of calculation, we can multiply the terms, so we get:

$V=x(216-24x-36x+4x^{2})$

$V=x(4x^{2}-60x+216)$

$V=4x^{3}-60x^{2}+216x$

So now we can find the derivative of the volume:

$V'=12x^{2}-120x+216$

and set it equal to zero, so we get:

$12x^{2}-120x+216=0$

and now we can solve. We can start by factoring the left side of the equation, so we get:

$12(x^{2}-10x+18)=0$

which yields:

x^{2}-10x+18=0

This one can only be solved by using the quadratic formula:

$x=\frac{-b\pm \sqrt{-b^{2}-4ac}}{2a}$

so we substitute the corresponding values:

$x=\frac{-(-10)\pm \sqrt{-(-10)^{2}-4(1)(18)}}{2(1)}$

which yields:

x=7.65in or x=2.35in

we keep the 2.35in only, because the 7.65in returns an impossible box, since that would make the width a negative width.

So the 2.35in height would give us the greatest box. Now we can use it to find the height, the width and the length of the box.

Height=x=2.35

W=12-2x=12-2*2.35=7.3in

L=18-2x=18-2(2.35)=13.3in

5 0

3 years ago

angle A and angle B are vertical angles. If angle A= (5x – 9)° and angle B = (8x – 30) then find the value of x.

puteri [66]

Answer:

x=7

Step-by-step explanation:

5x-9=8x-30

8x-5x=-9+30

3x=21

x=21/3=7

8 0

2 years ago