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2 years ago

What is 25+120-10x=10x-35=

Mathematics

1 answer:

Alexandra [31]2 years ago

6 0

145-10x=10x-35

Add 35 to both sides.

175-10x=10x

Add 10x to both sides.

175=20x

Divide both sides by 20

8.75=x

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What is angle B? 1. 65° 2. 55° 3. 35° 4. 90°

vfiekz [6]

Answer:

22°

Step-by-step explanation:

what you do is you take the angles 35° and 90°

You add them up, that would be 125°

the actual equation would be

$35+90=180$

$125=180$

$-125$

------------------

∠ B= 22°

Hope this helps!

Reason this is wrong is i didn't notice the 10 cm

6 0

2 years ago

A Norman window is a window with a semi-circle on top of regular rectangular window. (See the picture.) What should be the dimen

Vikki [24]

Answer:

bottom side (a) = 3.36 ft

lateral side (b) = 4.68 ft

Step-by-step explanation:

We have to maximize the area of the window, subject to a constraint in the perimeter of the window.

If we defined a as the bottom side, and b as the lateral side, we have the area defined as:

$A=A_r+A_c/2=a\cdot b+\dfrac{\pi r^2}{2}=ab+\dfrac{\pi}{2}\left (\dfrac{a}{2}\right)^2=ab+\dfrac{\pi a^2}{8}$

The restriction is that the perimeter have to be 12 ft at most:

$P=(a+2b)+\dfrac{\pi a}{2}=2b+a+(\dfrac{\pi}{2}) a=2b+(1+\dfrac{\pi}{2})a=12$

We can express b in function of a as:

$2b+(1+\dfrac{\pi}{2})a=12\\\\\\2b=12-(1+\dfrac{\pi}{2})a\\\\\\b=6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a$

Then, the area become:

$A=ab+\dfrac{\pi a^2}{8}=a(6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a)+\dfrac{\pi a^2}{8}\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a^2+\dfrac{\pi a^2}{8}\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{4}-\dfrac{\pi}{8}\right)a^2\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{8}\right)a^2$

To maximize the area, we derive and equal to zero:

$\dfrac{dA}{da}=6-2\left(\dfrac{1}{2}+\dfrac{\pi}{8}\right )a=0\\\\\\6-(1-\pi/4)a=0\\\\a=\dfrac{6}{(1+\pi/4)}\approx6/1.78\approx 3.36$

Then, b is:

$b=6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a\\\\\\b=6-0.393*3.36=6-1.32\\\\b=4.68$

3 0

3 years ago

Harlene tosses two number cubes. If a sum of 8 or 12 comes up, she gets 9 points. If not, she loses 2 points. What is the expect

Alisiya [41]

It's easy enough. Solving looks like that: p(roll of 8)+p(roll of 12) = $\frac{5}{36} + \frac{1}{36} = \frac{1}{6} ; \frac{1}{6} *9 +\frac{5}{6}*2 = \frac{3}{2} - \frac{5}{3} = -\frac{1}{6}$ Hope everything is clear.

5 0

3 years ago

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*URGENT*TEST TOMORROW*

Luden [163]

Answer:

"Dominic lived in Spain for 13 months and Columbia for 7 months."

Step-by-step explanation:

let months stayed in spain be "s" and months stayed in columbia be "c"

We can write 2 equations.

Since, lived in Spain and Columbia for a total of 20 months, we can write:

s + c = 20

Also, since 120 words per month in Spain and 150 words per month in Columbia for a total of 2610 new words, we can write:

120s + 150c=2610

Solving first for s:

s = 20 - c

Putting in 2nd and solving:

120(20 - c) + 150c = 2610

2400 - 120c + 150c = 2610

30c = 210

c = 7

Now,

s = 20 - c = 20 - 7 = 13

"Dominic lived in Spain for 13 months and Columbia for 7 months."

5 0

2 years ago

Read 2 more answers

What is the slope of a line parallel to the line whose equation is 3x + 3y = 72. Fully

CaHeK987 [17]

Answer:

The slope of the equation is -1, so the slope for the parallel line will also be -1.

Step-by-step explanation:

6 0

3 years ago