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umka21 [38]
3 years ago
9

Find the area of the shape shown below.​

Mathematics
2 answers:
Ulleksa [173]3 years ago
6 0

Answer:

Step-by-step explanation:

Is 28 units

Tamiku [17]3 years ago
5 0

Answer:

28 square units.

Step-by-step explanation:

Let us divide the shape into two rectangles and a right triangle. The resulting composite figure is attached.

As we see in the figure the area A_T of the triangle is

A_T= \frac{1}{2} (2)(4)=4\: units^2.

The area A_{r1} of the bigger rectangle is (it's actually a square )

A_{r1}=4*4=16\:units^2,

and the area of the smaller rectangle is

4*2 =8\:units^2.

Therefore, the total area A_{tot} of the shape is

A_{tot}= A_T+A_{r1}+A_{r2}

A_{tot}= 4\:units^2+16\:units^2+8\:units^2

\boxed{A_{tot}=28 \:units^2}

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The volume of a cone is 763.02. the radius and height of the cone are equal. What is the radius of the cone?
LUCKY_DIMON [66]

Answer:

The radius of the cone is 9cm

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cone

The volume of a cone is expressed as

V=1/3(πr²h)

We were told that the radius r and the height h are equal

I.e r=h

Substituting h=r in the formula we have

V= 1/3(πr²*r)

V =1/3(πr³)

To find the radius r let us substitute our given 763.02cm³ (note we assume unit in cm)

763.02= 1/3(3.142r³)

763.02= (3.142r³)/3

763.02*3=3.142r³

2289.06=3.142r³

r³=2289.06/3.142

r³= 728.54

r= ³√728.54

r= 8.99cm

≈r= 9cm

3 0
3 years ago
What is 289% as a decimal
lakkis [162]

Answer:

the answer is 2.89

Step-by-step explanation:

u divide 289 to 100 or 289/100=2.89

hope this helps

4 0
3 years ago
Read 2 more answers
Anyone know how to answer this question
mart [117]

9514 1404 393

Answer:

  (x +6)^2 +(y -10)^2 = 225

Step-by-step explanation:

The standard form equation for a circle is ...

  (x -h)^2 + (y -k)^2 = r^2

where the center is (h, k) and the radius is r.

The center of a circle is the midpoint of any diameter. The midpoint between two points is the average of their coordinates.

  ((-15, -2) +(3, 22))/2 = (-15+3, -2+22)/2 = (-6, 10)

The radius can be found using the distance formula, or by simply putting one of the given points in the equation for the circle to see what the constant (r^2) needs to be.

  (x -(-6))^2 +(y -10)^2 = (-15-(-6))^2 +(-2-10)^2

  (x +6)^2 +(y -10)^2 = 81 +144 = 225

The equation of the circle is ...

  (x +6)^2 +(y -10)^2 = 225

5 0
3 years ago
A teacher needs to find out how many seventh-grade students will be going on a field trip. Which best describes the population t
kherson [118]

Answer:

In statistics , the population is the set of all possible observations as per the researcher's objective .

For example if a researcher wants to find the average height of teenager of age group between 13 year and 15 years in Seattle, he will need the data of the population of height of teenager of age group between 13 year and 15 years in Seattle.

Here , A teacher needs to find out how many seventh graders will be going on a field trip.

Clearly as per her objective she need the data of all seventh graders .

So , the best describes the population that the teacher should survey would be : All seventh graders.

Jeanashupp

Step-by-step explanation:

4 0
3 years ago
At a rock concert, the ratio of girls to boys is 3:7. If there are 360 more boys than girls, how many girls are at the concert?
bixtya [17]
You could understand the ration as parts: the total number of parts was 3+7=10.

So girls were 3/10 parts and boys 7/10 parts. The difference was 7-3=4 parts. this difference is equal to 360, so each part is 90 (4*90 =360).

so girls are "3 parts" and each part is 90, then the number of girls is 3*90=270.
4 0
3 years ago
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