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katrin2010 [14]
2 years ago
11

In APQR, PR is extended through point R to point S, mZQRS = (7x+8)°,

Mathematics
2 answers:
frutty [35]2 years ago
7 0

Answer:

Wait what?

Step-by-step explanation:

Yuki888 [10]2 years ago
5 0

Answer:

I'm sorry but I don't know

Step-by-step explanation:

I am sorry I needed the points.

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1.Eric earned a 12 correct points out of 15 total points on his math quiz.
Sholpan [36]

Answer:

Jamie, because 9 out of 10 is a 90 and 12 out of 15 is an 80

4 0
2 years ago
El garage "Bolivar" tiene3 pisos. En el primero hay 5 filas con 20 lugares en cada una. En el segundo y en el tercero, 4 filas c
Iteru [2.4K]

Answer:

220 automóviles

Step-by-step explanation:

Aquí, queremos saber la cantidad de autos que ingresarán al garaje cuando esté completamente ocupado.

De la pregunta, nos dicen que hay 3 pisos. Para el 1er piso, hay 5 filas de 20 lugares.

El número total de autos que pueden estar en esto será 5 * 20 = 100 autos.

Para el segundo y tercer piso, tenemos 4 filas de 15 cada una.

El número total de autos aquí será 2 (15 * 4) = 2 * 60 = 120 autos

El número total de automóviles cuando está completamente ocupado es, por tanto, = 100 + 120 = 220 automóviles

8 0
3 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
A rectangular swimming pool is 15 feet long and x feet wide. What is the perimeter when x=12 feet
Arisa [49]

Answer: 54 square feet

Step-by-step explanation:

To find perimeter of a rectangle we must use the formula l+l+w+w=p where l and w represent width and length

Since we know length and width is x=12 just substitute so

15+15+12+12=54 so 54 is the perimeter

5 0
2 years ago
⚠️I MARK BRAINLIST PIC INCLUDED ⚠️What is the initial value of the sequence?
densk [106]

Answer:

2

Step-by-step explanation:

8 0
3 years ago
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