4. Match these equation balancing steps with the description of what was done in each step.

In a 4 day period, a delivery person delivered the following number of

Westkost [7]

Answer: 1400 packages

Step-by-step explanation:

1150+1200+1900+1350 divided by the 4 day interval means and average of:

1400 packages per day

6 0

2 years ago

The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f

WITCHER [35]

Answer:

Part 1) $A=36(\pi-2)\ cm^2$

Part 2) $P=6(\pi+2\sqrt{2})\ cm$

Step-by-step explanation:

The picture of the question in the attached figure

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

so

$A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)$

we have that the base and the height of triangle is equal to the radius of the circle

$r=12\ cm\\b=12\ cm\\h=12\ cm$

substitute

$A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2$

simplify

Factor 36

$A=36(\pi-2)\ cm^2$

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

$C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r$

substitute the given values

$C=\frac{1}{2}\pi (12)\\C=6\pi\ cm$

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

$AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm$

simplify

$AC=12\sqrt{2}\ cm$

Find the perimeter

$P=(6\pi+12\sqrt{2})\ cm$

simplify

Factor 6

$P=6(\pi+2\sqrt{2})\ cm$

4 0

3 years ago

The length of the observable universe is.

alekssr [168]

Answer:

Kindly check explanation

Step-by-step explanation:

Organizations like NASA who explore space and planets often have to deal with measurement of very long distances such as the one stated above. The Major challenge with the distance written in the format expressed above is the difficulty to read, state or use in mathematical calculations as it is too explicit. A more effective method is to express this distance in standard format and more suitable long distant units such as miles.

For instance;

880,000,000,000,000,000,000,000 kilometers could be expressed as in standard form as ;

8.8 * 10^23 km

5 0

2 years ago

Please help me now plz I will mark you brainliest

olga2289 [7]

Answer:

? = 4.28

Step-by-step explanation:

We know that tan theta = opp side / adjacent side

tan 35 = 3 / ?

Multiply each side by ?

? tan 35 = 3

Divide each side by tan 35

? = 3/tan 35

?= 4.28444402

To the nearest hundredth

? = 4.28

5 0

2 years ago

What is the slope of this line? - 2/3 2/3 1/3 - 1/3

Paul [167]

Answer:

2/3

Step-by-step explanation:

slope =(y1-y2)/(x1-x2)

slope=(1-(-1))/(6-3)

slope =2/3

7 0

2 years ago